diff --git a/.github/workflows/build-with-container.yml b/.github/workflows/build-with-container.yml index f5babfda..11b2277b 100644 --- a/.github/workflows/build-with-container.yml +++ b/.github/workflows/build-with-container.yml @@ -255,7 +255,7 @@ jobs: # is fine. EXTRA_CONAN_OPTS="" if [ "${{ inputs.enable-asan }}" = "true" ]; then - EXTRA_CONAN_OPTS="-o secp256k1_use_asm=False" + EXTRA_CONAN_OPTS="-o secp256k1_asm=off" fi # Choose build strategy based on whether we need to upload diff --git a/conanfile.py b/conanfile.py index a60aac76..8fa15626 100644 --- a/conanfile.py +++ b/conanfile.py @@ -78,23 +78,9 @@ class KthRecipe(KnuthConanFileV2): "utxoz_compact": [True, False], "asio_standalone": [True, False], - # secp256k1 options - "secp256k1_enable_coverage": [True, False], - "secp256k1_enable_branch_coverage": [True, False], - "secp256k1_enable_bignum": [True, False], - "secp256k1_use_asm": [True, False], - "secp256k1_enable_module_ecdh": [True, False], - "secp256k1_enable_module_multiset": [True, False], - "secp256k1_enable_module_recovery": [True, False], - "secp256k1_enable_module_schnorr": [True, False], - "secp256k1_enable_external_default_callbacks": [True, False], - "secp256k1_enable_endomorphism": [True, False], - "secp256k1_ecmult_window_size": ["ANY"], - "secp256k1_ecmult_gen_precision": [2, 4, 8], - "secp256k1_ecmult_static_precomputation": [True, False], - "secp256k1_enable_jni": [True, False], - "use_field": ["", "64bit", "32bit"], - "use_scalar": ["", "64bit", "32bit"], + # secp256k1 assembly selection (modern SECP256K1_ASM). "off" is used by + # the ASan CI build, whose field_5x52 asm otherwise exhausts registers. + "secp256k1_asm": ["auto", "off"], } @@ -129,24 +115,7 @@ class KthRecipe(KnuthConanFileV2): "embed_utxo_bloom": False, "utxoz_compact": False, "asio_standalone": True, - - # secp256k1 options - "secp256k1_enable_coverage": False, - "secp256k1_enable_branch_coverage": False, - "secp256k1_enable_bignum": False, - "secp256k1_use_asm": True, - "secp256k1_enable_module_ecdh": False, - "secp256k1_enable_module_multiset": True, - "secp256k1_enable_module_recovery": True, - "secp256k1_enable_module_schnorr": True, - "secp256k1_enable_external_default_callbacks": False, - "secp256k1_enable_endomorphism": True, - "secp256k1_ecmult_window_size": 15, - "secp256k1_ecmult_gen_precision": 4, - "secp256k1_ecmult_static_precomputation": True, - "secp256k1_enable_jni": False, - "use_field": "", - "use_scalar": "" + "secp256k1_asm": "auto", } # `data/utxo_bloom.dat` (~68 MB) lives under `data/` but is intentionally @@ -224,25 +193,12 @@ def requirements(self): def build_requirements(self): - self.tool_requires("secp256k1-precompute/1.0.0") if self.options.tests: self.test_requires("catch2/3.15.0") self.test_requires("nanobench/4.3.11") def config_options(self): KnuthConanFileV2.config_options(self) - # Disable ecmult static precomputation for Emscripten to avoid native build issues - # if self.settings.os == "Emscripten": - # self.output.info("Setting secp256k1_ecmult_static_precomputation to False for Emscripten") - # self.options.secp256k1_ecmult_static_precomputation = False - - # Disable ASM for architectures that don't support it - # Based on the logic in secp256k1's CMakeLists.txt - # Only x86_64 and arm-linux-gnueabihf are supported - arch = str(self.settings.arch) - if arch != "x86_64" and arch != "armv7": - self.output.info(f"Setting secp256k1_use_asm to False for architecture: {arch}") - self.options.secp256k1_use_asm = False # Disable tests for WebAssembly (Catch2 incompatible with shared-memory/threads) # and force the JSON-RPC server off: it relies on the standalone-asio I/O @@ -312,32 +268,11 @@ def generate(self): tc.variables["KTH_UTXOZ_COMPACT_MODE"] = option_on_off(self.options.utxoz_compact) tc.variables["KTH_ASIO_STANDALONE"] = option_on_off(self.options.asio_standalone) - # Secp256k1 -------------------------------------------- - tc.variables["SECP256K1_ENABLE_COVERAGE"] = option_on_off(self.options.secp256k1_enable_coverage) - tc.variables["SECP256K1_ENABLE_BRANCH_COVERAGE"] = option_on_off(self.options.secp256k1_enable_branch_coverage) - tc.variables["SECP256K1_ENABLE_BIGNUM"] = option_on_off(self.options.secp256k1_enable_bignum) - tc.variables["SECP256K1_USE_ASM"] = option_on_off(self.options.secp256k1_use_asm) - tc.variables["SECP256K1_ENABLE_MODULE_ECDH"] = option_on_off(self.options.secp256k1_enable_module_ecdh) - tc.variables["SECP256K1_ENABLE_MODULE_MULTISET"] = option_on_off(self.options.secp256k1_enable_module_multiset) - tc.variables["SECP256K1_ENABLE_MODULE_RECOVERY"] = option_on_off(self.options.secp256k1_enable_module_recovery) - tc.variables["SECP256K1_ENABLE_MODULE_SCHNORR"] = option_on_off(self.options.secp256k1_enable_module_schnorr) - tc.variables["SECP256K1_ENABLE_EXTERNAL_DEFAULT_CALLBACKS"] = option_on_off(self.options.secp256k1_enable_external_default_callbacks) - tc.variables["SECP256K1_ENABLE_ENDOMORPHISM"] = option_on_off(self.options.secp256k1_enable_endomorphism) - tc.variables["SECP256K1_ECMULT_WINDOW_SIZE"] = self.options.secp256k1_ecmult_window_size - tc.variables["SECP256K1_ECMULT_GEN_PRECISION"] = self.options.secp256k1_ecmult_gen_precision - tc.variables["SECP256K1_ECMULT_STATIC_PRECOMPUTATION"] = option_on_off(self.options.secp256k1_ecmult_static_precomputation) - tc.variables["SECP256K1_ENABLE_JNI"] = option_on_off(self.options.secp256k1_enable_jni) - - if self.options.use_field: - tc.variables["USE_FIELD"] = self.options.use_field - - if self.options.use_scalar: - tc.variables["USE_SCALAR"] = self.options.use_scalar - - # Enable compatibility with the tests - unify all test variables + # secp256k1 is vendored (bitcoin-core/secp256k1) and configured directly + # in src/CMakeLists.txt; the modern build self-generates its precomputed + # tables, so only the assembly selection is exposed here. + tc.variables["SECP256K1_ASM"] = "OFF" if self.options.secp256k1_asm == "off" else "AUTO" tc.variables["ENABLE_TEST"] = option_on_off(self.options.tests) - tc.variables["SECP256K1_BUILD_TEST"] = option_on_off(self.options.tests) - # Secp256k1 -------------------------------------------- (END) tc.variables["CURRENCY"] = self.options.currency tc.variables["KTH_MEMPOOL_BACKEND"] = self.options.mempool_backend @@ -352,9 +287,6 @@ def generate(self): tc.variables["KTH_VERSION"] = kth_version self.output.info(f"Knuth Node version: {kth_version}") - # Generate secp256k1 precomputed tables before CMake generation - self._generate_secp256k1_tables() - tc.generate() deps = CMakeDeps(self) @@ -412,8 +344,6 @@ def package_info(self): self.cpp_info.components["secp256k1"].libs = ["secp256k1"] self.cpp_info.components["secp256k1"].names["cmake_find_package"] = "secp256k1" self.cpp_info.components["secp256k1"].names["cmake_find_package_multi"] = "secp256k1" - # secp256k1 requires GMP for big number operations - self.cpp_info.components["secp256k1"].requires = ["gmp::gmp"] # Core infrastructure component self.cpp_info.components["infrastructure"].libs = ["infrastructure"] @@ -562,99 +492,3 @@ def package_info(self): self.cpp_info.components["kth"].requires = main_requires self.cpp_info.components["kth"].names["cmake_find_package"] = "kth" self.cpp_info.components["kth"].names["cmake_find_package_multi"] = "kth" - - def _generate_secp256k1_tables(self): - """Generate secp256k1 precomputed tables using external tool if needed""" - if not self.options.secp256k1_ecmult_static_precomputation: - return - - import platform - import subprocess - from pathlib import Path - - # Path to secp256k1 source directory and output file - secp256k1_src = Path(self.source_folder) / "src" / "secp256k1" / "src" - output_file = secp256k1_src / "ecmult_static_context.h" - - # Skip if file already exists and is newer than source - gen_context_src = secp256k1_src / "gen_context.c" - if output_file.exists() and gen_context_src.exists(): - if output_file.stat().st_mtime > gen_context_src.stat().st_mtime: - self.output.info("secp256k1 precomputed tables are up to date") - return - - self.output.info("Generating secp256k1 precomputed tables...") - - try: - # Get the gen_context executable from the tool package - # Find the executable in the dependencies - gen_context_exe = None - for req, dep_info in self.dependencies.items(): - if req.ref.name == "secp256k1-precompute": - # Get the bin folder from the dependency - bin_folder = Path(dep_info.cpp_info.bindirs[0]) if dep_info.cpp_info.bindirs else Path("bin") - gen_context_exe = Path(dep_info.package_folder) / bin_folder / "gen_context" - if platform.system() == "Windows": - gen_context_exe = gen_context_exe.with_suffix(".exe") - break - - if not gen_context_exe or not gen_context_exe.exists(): - raise Exception(f"gen_context executable not found: {gen_context_exe}") - - # Create the secp256k1 src directory if it doesn't exist - secp256k1_src.mkdir(parents=True, exist_ok=True) - - # Create a temporary directory structure that gen_context expects - # gen_context writes to "src/ecmult_static_context.h" relative to its working directory - temp_dir = secp256k1_src.parent # This should be src/secp256k1 - src_subdir = temp_dir / "src" - src_subdir.mkdir(exist_ok=True) - - # Run the generator tool from secp256k1 directory so it can write to src/ecmult_static_context.h - self.output.info(f"gen_context_exe: {gen_context_exe}") - self.output.info(f"gen_context_exe exists: {gen_context_exe.exists()}") - - # Check binary type (static vs dynamic) - import shutil - file_cmd = shutil.which("file") - ldd_cmd = shutil.which("ldd") - - if file_cmd: - file_result = subprocess.run([file_cmd, str(gen_context_exe)], capture_output=True, text=True) - self.output.info(f"Binary type: {file_result.stdout.strip()}") - else: - self.output.warning("'file' command not found") - - if ldd_cmd: - ldd_result = subprocess.run([ldd_cmd, str(gen_context_exe)], capture_output=True, text=True) - self.output.info(f"ldd output: {ldd_result.stdout.strip()}") - if ldd_result.stderr: - self.output.warning(f"ldd stderr: {ldd_result.stderr.strip()}") - else: - self.output.warning("'ldd' command not found") - - result = subprocess.run( - [str(gen_context_exe), - str(self.options.secp256k1_ecmult_window_size), - str(self.options.secp256k1_ecmult_gen_precision)], - cwd=str(temp_dir), - capture_output=True, - text=True - ) - - if result.returncode != 0: - self.output.error(f"Failed to generate secp256k1 tables: {result.stderr}") - raise Exception("secp256k1 table generation failed") - - if output_file.exists(): - self.output.info(f"Successfully generated {output_file}") - else: - raise Exception("secp256k1 table generation completed but output file not found") - - except Exception as e: - self.output.error(f"Error generating secp256k1 tables: {e}") - # Fall back to disabling precomputation if tool fails - self.output.warning("Disabling secp256k1 static precomputation due to generation failure") - # We could modify the CMake variable here, but it's already been set - # For now, just let it fail and require the user to disable it manually - raise diff --git a/scripts/rebuild-asan.sh b/scripts/rebuild-asan.sh index 73574048..42201c85 100755 --- a/scripts/rebuild-asan.sh +++ b/scripts/rebuild-asan.sh @@ -65,7 +65,7 @@ cmake --preset conan-relwithdebinfo \ -DCMAKE_C_FLAGS="${SANITIZER_FLAGS}" \ -DCMAKE_EXE_LINKER_FLAGS="-fsanitize=address" \ -DCMAKE_SHARED_LINKER_FLAGS="-fsanitize=address" \ - -DSECP256K1_USE_ASM=OFF \ + -DSECP256K1_ASM=OFF \ -DENABLE_TSAN_TESTS=OFF if [ $? -ne 0 ]; then diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index 95afc513..2257b549 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -4,7 +4,47 @@ cmake_minimum_required(VERSION 3.15) +# secp256k1 (modernized upstream libsecp256k1 + the BCH Schnorr module). Configure +# its options before adding it, since the vendored tree is kept pristine. Static +# only, no upstream tests/benches, and the modules Knuth needs: ECDSA recovery and +# the BCH Schnorr module for consensus, plus ECDH / schnorrsig / ellswift for the +# Stratum V2 Noise transport. +set(SECP256K1_DISABLE_SHARED ON CACHE BOOL "" FORCE) +set(SECP256K1_BUILD_BENCHMARK OFF CACHE BOOL "" FORCE) +set(SECP256K1_BUILD_TESTS OFF CACHE BOOL "" FORCE) +set(SECP256K1_BUILD_EXHAUSTIVE_TESTS OFF CACHE BOOL "" FORCE) +set(SECP256K1_BUILD_CTIME_TESTS OFF CACHE BOOL "" FORCE) +set(SECP256K1_BUILD_EXAMPLES OFF CACHE BOOL "" FORCE) +set(SECP256K1_INSTALL OFF CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_ECDH ON CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_RECOVERY ON CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_EXTRAKEYS ON CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_SCHNORRSIG ON CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_ELLSWIFT ON CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_MUSIG OFF CACHE BOOL "" FORCE) +set(SECP256K1_ENABLE_MODULE_SCHNORR_BCH ON CACHE BOOL "" FORCE) + add_subdirectory(secp256k1) + +# Knuth links this alias; upstream exports the bare `secp256k1` target. +if(NOT TARGET secp256k1::secp256k1) + add_library(secp256k1::secp256k1 ALIAS secp256k1) +endif() + +# Put secp256k1 in an installed export set (as the previous vendored build did), +# so the modules that link it (infrastructure, ...) can export their own targets. +# Upstream's own install is disabled (SECP256K1_INSTALL OFF); this is Knuth-side. +install(TARGETS secp256k1 + EXPORT secp256k1-targets + LIBRARY DESTINATION lib + ARCHIVE DESTINATION lib + RUNTIME DESTINATION bin +) +install(EXPORT secp256k1-targets + FILE secp256k1-targets.cmake + NAMESPACE secp256k1:: + DESTINATION lib/cmake/secp256k1 +) add_subdirectory(infrastructure) add_subdirectory(domain) diff --git a/src/domain/test/chain/script.cpp b/src/domain/test/chain/script.cpp index 2b0241fb..96abb543 100644 --- a/src/domain/test/chain/script.cpp +++ b/src/domain/test/chain/script.cpp @@ -994,7 +994,7 @@ TEST_CASE("script create endorsement - single input single output", "[script]") auto const& out = out_result.value(); auto const result2 = encode_base16(out); REQUIRE( ! result2.empty()); - auto const expected = "304402200245ea46be39d72fed03c899aabc446b3c9baf93f57c2b382757856c3209854b0220795946074804a08c0053116eafe851c1a37b24414199afecf286f1eb4d82167801"; + auto const expected = "3045022100e428d3cc67a724cb6cfe8634aa299e58f189d9c46c02641e936c40cc16c7e8ed0220083949910fe999c21734a1f33e42fca15fb463ea2e08f0a1bccd952aacaadbb801"; REQUIRE(result2 == expected); } @@ -1020,7 +1020,7 @@ TEST_CASE("script create endorsement - single input no output", "[script]") { auto const& out = out_result.value(); auto const result2 = encode_base16(out); REQUIRE( ! result2.empty()); - auto const expected = "304402202d32085880e02b7f58a23db8a01eebfe105b6efda19e426960148d152ae67c76022028868ba8d97a4983252b247ae7f3203106c691a6ff83cc0f9b11289115ce4f3801"; + auto const expected = "3045022100ba57820be5f0b93a0d5b880fbf2a86f819d959ecc24dc31b6b2d4f6ed286f253022071ccd021d540868ee10ca7634f4d270dfac7aea0d5912cf2b104111ac9bc756b01"; REQUIRE(result2 == expected); } diff --git a/src/domain/test/wallet/message.cpp b/src/domain/test/wallet/message.cpp index 1f26e24f..fa87f752 100644 --- a/src/domain/test/wallet/message.cpp +++ b/src/domain/test/wallet/message.cpp @@ -10,14 +10,14 @@ using namespace kth::domain::wallet; // $ bx base16-encode "Satoshi" | bx sha256 constexpr auto secret = "002688cc350a5333a87fa622eacec626c3d1c0ebf9f3793de3885fa254d7e393"_base16; -constexpr auto signature_compressed = "1fa7b234dc5168e6ee3cab90c9cb5517dc851d18d5ac6e0b183daa9ed4aec8a1e752982ff04d0dce0f80d1d20ef68d31aeb000aca1313b9ca72c0acb1cea555ea4"_base16; -constexpr auto signature_uncompressed = "1c4f4780ab587f0a9011e2f5543acfb8628710a5c1edc6937f62a524bdbea65a9462e8f8ea2767b917382182d5fa498c2790b18bc4dbd2579dcc41703c880f6c3b"_base16; +constexpr auto signature_compressed = "20c0ae26619db18abd1e8a84d005bafd336512eda7207cf7f4f6c36c9614ed6bcf531a954929ddc0a86578f4d28a26e19b676c890a49881d6f25e393befd6d1682"_base16; +constexpr auto signature_uncompressed = "1c3484d71301fbdd9eec713894add25867663d9a91d637682f09179a211d16a1f26068178de890a0117df61c436e9062f87ae1790579829caae2911833ba9e35b0"_base16; // WIF keys also used in WIF test vectors. constexpr auto wif_compressed_str = "L1WepftUBemj6H4XQovkiW1ARVjxMqaw4oj2kmkYqdG1xTnBcHfC"; constexpr auto wif_uncompressed_str = "5JngqQmHagNTknnCshzVUysLMWAjT23FWs1TgNU5wyFH5SB3hrP"; -constexpr auto signature_wif_compressed = "1f667668be93a0be1f3cbb086a39326f3c82b2e6ef3fb98e370fe499e3a822111d23d82f01a4a6b1b9c6cfb9b2f01c4dde5e8a16b19b0be7d7452b6f8b29bc095d"_base16; -constexpr auto signature_wif_uncompressed = "1b1b6c97843dcea3f7b5557492c4da6bad50917be4d8e2cbde47e580e95abaff653f71ac8b796705811fc0e7f74492c3614f6ec0797146607fda4ce4252627c738"_base16; +constexpr auto signature_wif_compressed = "20813288c5d9e3a56a297758df28bec5ffe4ceb107ac66f1d215c156ecb7845ca65efb7a84a5267edc77538479ccb01efdb006837d35e246b2cacae22acb4c6e46"_base16; +constexpr auto signature_wif_uncompressed = "1b25c35d61aa2ff5353efc36d747ed3ef179bc0f5b3d1c60f0617006c9015a0d8271da05103b987d1c26a2ecb053a56ce885805cbacefa230e69bfe18727ea4a04"_base16; // Generated using Electrum and above SECRET (compressed): constexpr auto electrum_signature = "1f1429ddc5e03888411065e4b36eec7de4901d580d51e6209798b9c06fdd39461a4884679f35d1e8d7321fe01f3401ed916732383f6b5f8a688ea9ae4321fbf4ae"; // for decode_base16 diff --git a/src/infrastructure/src/math/elliptic_curve.cpp b/src/infrastructure/src/math/elliptic_curve.cpp index 54003acc..0c97788d 100644 --- a/src/infrastructure/src/math/elliptic_curve.cpp +++ b/src/infrastructure/src/math/elliptic_curve.cpp @@ -87,9 +87,12 @@ bool verify_signature(secp256k1_context const* context, secp256k1_pubkey const point, hash_digest const& hash, ec_signature const& signature) { - // Copy to avoid exposing external types. + // Load the compact (r||s) signature. The secp256k1_ecdsa_signature + // internal layout is opaque, so parse rather than copy its bytes. secp256k1_ecdsa_signature parsed; - std::copy_n(signature.begin(), ec_signature_size, std::begin(parsed.data)); + if (secp256k1_ecdsa_signature_parse_compact(context, &parsed, signature.data()) != 1) { + return false; + } // secp256k1_ecdsa_verify rejects non-normalized (low-s) signatures, but // bitcoin does not have such a limitation, so we always normalize. @@ -250,7 +253,7 @@ bool parse_signature(ec_signature& out, const der_signature& der_signature, bool } if (valid) { - std::copy_n(std::begin(parsed.data), ec_signature_size, out.begin()); + secp256k1_ecdsa_signature_serialize_compact(context, out.data(), &parsed); } return valid; @@ -275,11 +278,14 @@ bool check_low_s(der_signature const& der_signature) { } bool encode_signature(der_signature& out, ec_signature const& signature) { - // Copy to avoid exposing external types. + auto const context = signing.context(); + + // Load the compact (r||s) signature; the internal layout is opaque. secp256k1_ecdsa_signature sign; - std::copy_n(signature.begin(), ec_signature_size, std::begin(sign.data)); + if (secp256k1_ecdsa_signature_parse_compact(context, &sign, signature.data()) != 1) { + return false; + } - auto const context = signing.context(); auto size = max_der_signature_size; out.resize(size); @@ -292,12 +298,14 @@ bool encode_signature(der_signature& out, ec_signature const& signature) { } bool encode_signature(compact_signature& out, ec_signature const& signature) { - // Copy to avoid exposing external types. - secp256k1_ecdsa_signature sign; - std::copy_n(signature.begin(), ec_signature_size, std::begin(sign.data)); - auto const context = signing.context(); + // Load the compact (r||s) signature; the internal layout is opaque. + secp256k1_ecdsa_signature sign; + if (secp256k1_ecdsa_signature_parse_compact(context, &sign, signature.data()) != 1) { + return false; + } + if (secp256k1_ecdsa_signature_serialize_compact(context, out.data(), &sign) != 1) { return false; } @@ -322,7 +330,7 @@ bool sign_ecdsa(ec_signature& out, ec_secret const& secret, hash_digest const& h return false; } - std::copy_n(std::begin(signature.data), out.size(), out.begin()); + secp256k1_ecdsa_signature_serialize_compact(context, out.data(), &signature); return true; } @@ -372,14 +380,17 @@ bool verify_signature(ec_uncompressed const& point, hash_digest const& hash, ec_ } bool verify_signature(byte_span point, hash_digest const& hash, ec_signature const& signature) { - // Copy to avoid exposing external types. + auto const context = verification.context(); + + // Load the compact (r||s) signature; the internal layout is opaque. secp256k1_ecdsa_signature parsed; - std::copy_n(signature.begin(), ec_signature_size, std::begin(parsed.data)); + if (secp256k1_ecdsa_signature_parse_compact(context, &parsed, signature.data()) != 1) { + return false; + } // secp256k1_ecdsa_verify rejects non-normalized (low-s) signatures, but // bitcoin does not have such a limitation, so we always normalize. secp256k1_ecdsa_signature normal; - auto const context = verification.context(); secp256k1_ecdsa_signature_normalize(context, &normal, &parsed); // This uses a byte span and calls secp256k1_ec_pubkey_parse() in place of diff --git a/src/infrastructure/test/math/elliptic_curve.cpp b/src/infrastructure/test/math/elliptic_curve.cpp index 18a1ea48..2aaf0dac 100644 --- a/src/infrastructure/test/math/elliptic_curve.cpp +++ b/src/infrastructure/test/math/elliptic_curve.cpp @@ -22,8 +22,8 @@ constexpr auto der_signature2 = "3045022100bc494fbd09a8e77d8266e2abdea9aef08b9e7 // Scenario 3 static auto const secret3 = "ce8f4b713ffdd2658900845251890f30371856be201cd1f5b3d970f793634333"_hash; static auto const sighash3 = "f89572635651b2e4f89778350616989183c98d1a721c911324bf9f17a0cf5bf0"_hash; -constexpr auto ec_signature3 = "17b7b25c48e4ed2bd43369fa282f608b4329d96409860ce832fd5497b65fe663b901e34dff5291868c4401c8c1c6ed23b1887139cc4cd6884f38b9d936356131"_base16; -constexpr auto der_signature3 = "3044022063e65fb69754fd32e80c860964d929438b602f28fa6933d42bede4485cb2b717022031613536d9b9384f88d64ccc397188b123edc6c1c801448c869152ff4de301b9"; +constexpr auto ec_signature3 = "57d0b4fb0df5cefa245e76ba9b099bb63aa46340cb152a927c1cb3f8befe32483750eae5727db3e6cc4275062971552e467f7cfd7269fec2626588b6c6d58e92"_base16; +constexpr auto der_signature3 = "3044022057d0b4fb0df5cefa245e76ba9b099bb63aa46340cb152a927c1cb3f8befe324802203750eae5727db3e6cc4275062971552e467f7cfd7269fec2626588b6c6d58e92"; TEST_CASE("elliptic curve secret to public positive test", "[elliptic curve tests]") { ec_compressed point; diff --git a/src/secp256k1/CMakeLists.txt b/src/secp256k1/CMakeLists.txt index e82e952a..888b07f6 100644 --- a/src/secp256k1/CMakeLists.txt +++ b/src/secp256k1/CMakeLists.txt @@ -1,463 +1,414 @@ -# Copyright (c) 2017-2024 The Bitcoin developers +cmake_minimum_required(VERSION 3.16) + +#============================= +# Project / Package metadata +#============================= +project(libsecp256k1 + # The package (a.k.a. release) version is based on semantic versioning 2.0.0 of + # the API. All changes in experimental modules are treated as + # backwards-compatible and therefore at most increase the minor version. + VERSION 0.6.0 + DESCRIPTION "Optimized C library for ECDSA signatures and secret/public key operations on curve secp256k1." + HOMEPAGE_URL "https://github.com/bitcoin-core/secp256k1" + LANGUAGES C +) +enable_testing() +list(APPEND CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake) + +if(CMAKE_VERSION VERSION_LESS 3.21) + # Emulates CMake 3.21+ behavior. + if(CMAKE_SOURCE_DIR STREQUAL CMAKE_CURRENT_SOURCE_DIR) + set(PROJECT_IS_TOP_LEVEL ON) + set(${PROJECT_NAME}_IS_TOP_LEVEL ON) + else() + set(PROJECT_IS_TOP_LEVEL OFF) + set(${PROJECT_NAME}_IS_TOP_LEVEL OFF) + endif() +endif() + +# The library version is based on libtool versioning of the ABI. The set of +# rules for updating the version can be found here: +# https://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html +# All changes in experimental modules are treated as if they don't affect the +# interface and therefore only increase the revision. +set(${PROJECT_NAME}_LIB_VERSION_CURRENT 5) +set(${PROJECT_NAME}_LIB_VERSION_REVISION 0) +set(${PROJECT_NAME}_LIB_VERSION_AGE 0) + +#============================= +# Language setup +#============================= +set(CMAKE_C_STANDARD 90) +set(CMAKE_C_EXTENSIONS OFF) + +#============================= +# Configurable options +#============================= +option(BUILD_SHARED_LIBS "Build shared libraries." ON) +option(SECP256K1_DISABLE_SHARED "Disable shared library. Overrides BUILD_SHARED_LIBS." OFF) +if(SECP256K1_DISABLE_SHARED) + set(BUILD_SHARED_LIBS OFF) +endif() -cmake_minimum_required(VERSION 3.13) -project(secp256k1 LANGUAGES C VERSION 0.1.0) +option(SECP256K1_INSTALL "Enable installation." ${PROJECT_IS_TOP_LEVEL}) -# Store the original CMAKE_MODULE_PATH -set(SECP256K1_ORIGINAL_MODULE_PATH ${CMAKE_MODULE_PATH}) -# Add paths for custom modules (locally scoped) -set(SECP256K1_MODULE_PATH ${CMAKE_CURRENT_SOURCE_DIR}/cmake/modules) -list(APPEND CMAKE_MODULE_PATH ${SECP256K1_MODULE_PATH}) +## Modules -message(STATUS "CMAKE_SOURCE_DIR: ${CMAKE_SOURCE_DIR}") -message(STATUS "CMAKE_CURRENT_SOURCE_DIR: ${CMAKE_CURRENT_SOURCE_DIR}") -message(STATUS "CMAKE_MODULE_PATH: ${CMAKE_MODULE_PATH}") +# We declare all options before processing them, to make sure we can express +# dependendencies while processing. +option(SECP256K1_ENABLE_MODULE_ECDH "Enable ECDH module." ON) +option(SECP256K1_ENABLE_MODULE_RECOVERY "Enable ECDSA pubkey recovery module." OFF) +option(SECP256K1_ENABLE_MODULE_EXTRAKEYS "Enable extrakeys module." ON) +option(SECP256K1_ENABLE_MODULE_SCHNORRSIG "Enable schnorrsig module." ON) +option(SECP256K1_ENABLE_MODULE_MUSIG "Enable musig module." ON) +option(SECP256K1_ENABLE_MODULE_ELLSWIFT "Enable ElligatorSwift module." ON) -# # Add path for BCHN modules (uncomment if needed) -# list(APPEND CMAKE_MODULE_PATH "/Users/fernando/dev/bchn/bitcoin-cash-node-master/cmake/modules") +# BCH's custom Schnorr scheme (not BIP340), used for Bitcoin Cash consensus +# signature verification. Not an upstream module; carried locally like the +# previous vendored fork did. +option(SECP256K1_ENABLE_MODULE_SCHNORR_BCH "Enable the BCH Schnorr module." OFF) -# Default to RelWithDebInfo configuration -if(NOT CMAKE_BUILD_TYPE) - set(CMAKE_BUILD_TYPE RelWithDebInfo CACHE STRING - "Select the configuration for the build" FORCE) - set(__NO_USER_CMAKE_BUILD_TYPE ON CACHE BOOL "True if the user didn't set a build type on the command line") +# Processing must be done in a topological sorting of the dependency graph +# (dependent module first). +if(SECP256K1_ENABLE_MODULE_ELLSWIFT) + add_compile_definitions(ENABLE_MODULE_ELLSWIFT=1) endif() -option(SECP256K1_ENABLE_COVERAGE "Enable coverage" OFF) -option(SECP256K1_ENABLE_BRANCH_COVERAGE "Enable branch coverage" OFF) +if(SECP256K1_ENABLE_MODULE_SCHNORR_BCH) + add_compile_definitions(ENABLE_MODULE_SCHNORR_BCH=1) +endif() -include(AddCompilerFlags) +if(SECP256K1_ENABLE_MODULE_MUSIG) + if(DEFINED SECP256K1_ENABLE_MODULE_SCHNORRSIG AND NOT SECP256K1_ENABLE_MODULE_SCHNORRSIG) + message(FATAL_ERROR "Module dependency error: You have disabled the schnorrsig module explicitly, but it is required by the musig module.") + endif() + set(SECP256K1_ENABLE_MODULE_SCHNORRSIG ON) + add_compile_definitions(ENABLE_MODULE_MUSIG=1) +endif() -if(SECP256K1_ENABLE_COVERAGE) - include(Coverage) +if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) + if(DEFINED SECP256K1_ENABLE_MODULE_EXTRAKEYS AND NOT SECP256K1_ENABLE_MODULE_EXTRAKEYS) + message(FATAL_ERROR "Module dependency error: You have disabled the extrakeys module explicitly, but it is required by the schnorrsig module.") + endif() + set(SECP256K1_ENABLE_MODULE_EXTRAKEYS ON) + add_compile_definitions(ENABLE_MODULE_SCHNORRSIG=1) +endif() - enable_coverage(${SECP256K1_ENABLE_BRANCH_COVERAGE}) +if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) + add_compile_definitions(ENABLE_MODULE_EXTRAKEYS=1) +endif() - exclude_from_coverage("${CMAKE_CURRENT_SOURCE_DIR}/src/bench") +if(SECP256K1_ENABLE_MODULE_RECOVERY) + add_compile_definitions(ENABLE_MODULE_RECOVERY=1) +endif() - # If no build type is manually defined, override the optimization level. - # Otherwise, alert the user than the coverage result might be useless. - if(__NO_USER_CMAKE_BUILD_TYPE) - set_c_optimization_level(0) - else() - message(WARNING "It is advised to not enforce CMAKE_BUILD_TYPE to get the best coverage results") - endif() +if(SECP256K1_ENABLE_MODULE_ECDH) + add_compile_definitions(ENABLE_MODULE_ECDH=1) +endif() - set(COVERAGE 1) +option(SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS "Enable external default callback functions." OFF) +if(SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS) + add_compile_definitions(USE_EXTERNAL_DEFAULT_CALLBACKS=1) endif() +set(SECP256K1_ECMULT_WINDOW_SIZE 15 CACHE STRING "Window size for ecmult precomputation for verification, specified as integer in range [2..24]. The default value is a reasonable setting for desktop machines (currently 15). [default=15]") +set_property(CACHE SECP256K1_ECMULT_WINDOW_SIZE PROPERTY STRINGS 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24) +include(CheckStringOptionValue) +check_string_option_value(SECP256K1_ECMULT_WINDOW_SIZE) +add_compile_definitions(ECMULT_WINDOW_SIZE=${SECP256K1_ECMULT_WINDOW_SIZE}) + +set(SECP256K1_ECMULT_GEN_KB 86 CACHE STRING "The size of the precomputed table for signing in multiples of 1024 bytes (on typical platforms). Larger values result in possibly better signing or key generation performance at the cost of a larger table. Valid choices are 2, 22, 86. The default value is a reasonable setting for desktop machines (currently 86). [default=86]") +set_property(CACHE SECP256K1_ECMULT_GEN_KB PROPERTY STRINGS 2 22 86) +check_string_option_value(SECP256K1_ECMULT_GEN_KB) +if(SECP256K1_ECMULT_GEN_KB EQUAL 2) + add_compile_definitions(COMB_BLOCKS=2) + add_compile_definitions(COMB_TEETH=5) +elseif(SECP256K1_ECMULT_GEN_KB EQUAL 22) + add_compile_definitions(COMB_BLOCKS=11) + add_compile_definitions(COMB_TEETH=6) +elseif(SECP256K1_ECMULT_GEN_KB EQUAL 86) + add_compile_definitions(COMB_BLOCKS=43) + add_compile_definitions(COMB_TEETH=6) +endif() + +set(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY "OFF" CACHE STRING "Test-only override of the (autodetected by the C code) \"widemul\" setting. Legal values are: \"OFF\", \"int128_struct\", \"int128\" or \"int64\". [default=OFF]") +set_property(CACHE SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY PROPERTY STRINGS "OFF" "int128_struct" "int128" "int64") +check_string_option_value(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) +if(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) + string(TOUPPER "${SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY}" widemul_upper_value) + add_compile_definitions(USE_FORCE_WIDEMUL_${widemul_upper_value}=1) +endif() +mark_as_advanced(FORCE SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) + +set(SECP256K1_ASM "AUTO" CACHE STRING "Assembly to use: \"AUTO\", \"OFF\", \"x86_64\" or \"arm32\" (experimental). [default=AUTO]") +set_property(CACHE SECP256K1_ASM PROPERTY STRINGS "AUTO" "OFF" "x86_64" "arm32") +check_string_option_value(SECP256K1_ASM) +if(SECP256K1_ASM STREQUAL "arm32") + enable_language(ASM) + include(CheckArm32Assembly) + check_arm32_assembly() + if(HAVE_ARM32_ASM) + add_compile_definitions(USE_EXTERNAL_ASM=1) + else() + message(FATAL_ERROR "ARM32 assembly requested but not available.") + endif() +elseif(SECP256K1_ASM) + include(CheckX86_64Assembly) + check_x86_64_assembly() + if(HAVE_X86_64_ASM) + set(SECP256K1_ASM "x86_64") + add_compile_definitions(USE_ASM_X86_64=1) + elseif(SECP256K1_ASM STREQUAL "AUTO") + set(SECP256K1_ASM "OFF") + else() + message(FATAL_ERROR "x86_64 assembly requested but not available.") + endif() +endif() +option(SECP256K1_EXPERIMENTAL "Allow experimental configuration options." OFF) +if(NOT SECP256K1_EXPERIMENTAL) + if(SECP256K1_ASM STREQUAL "arm32") + message(FATAL_ERROR "ARM32 assembly is experimental. Use -DSECP256K1_EXPERIMENTAL=ON to allow.") + endif() +endif() -# libsecp256k1 use a different set of flags. -add_c_compiler_flags( - -pedantic - -Wall - -Wextra - -Wcast-align - -Wshadow - -Wno-unused-function - -Wno-overlength-strings - -std=c89 - -Wnested-externs - -Wstrict-prototypes - -Wno-long-long -) +set(SECP256K1_VALGRIND "AUTO" CACHE STRING "Build with extra checks for running inside Valgrind. [default=AUTO]") +set_property(CACHE SECP256K1_VALGRIND PROPERTY STRINGS "AUTO" "OFF" "ON") +check_string_option_value(SECP256K1_VALGRIND) +if(SECP256K1_VALGRIND) + find_package(Valgrind MODULE) + if(Valgrind_FOUND) + set(SECP256K1_VALGRIND ON) + include_directories(${Valgrind_INCLUDE_DIR}) + add_compile_definitions(VALGRIND) + elseif(SECP256K1_VALGRIND STREQUAL "AUTO") + set(SECP256K1_VALGRIND OFF) + else() + message(FATAL_ERROR "Valgrind support requested but valgrind/memcheck.h header not available.") + endif() +endif() -# Default visibility is hidden on all targets. -set(CMAKE_C_VISIBILITY_PRESET hidden) +option(SECP256K1_BUILD_BENCHMARK "Build benchmarks." ON) +option(SECP256K1_BUILD_TESTS "Build tests." ON) +option(SECP256K1_BUILD_EXHAUSTIVE_TESTS "Build exhaustive tests." ON) +option(SECP256K1_BUILD_CTIME_TESTS "Build constant-time tests." ${SECP256K1_VALGRIND}) +option(SECP256K1_BUILD_EXAMPLES "Build examples." OFF) + +# Redefine configuration flags. +# We leave assertions on, because they are only used in the examples, and we want them always on there. +if(MSVC) + string(REGEX REPLACE "/DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_RELWITHDEBINFO "${CMAKE_C_FLAGS_RELWITHDEBINFO}") + string(REGEX REPLACE "/DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE}") + string(REGEX REPLACE "/DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_MINSIZEREL "${CMAKE_C_FLAGS_MINSIZEREL}") +else() + string(REGEX REPLACE "-DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_RELWITHDEBINFO "${CMAKE_C_FLAGS_RELWITHDEBINFO}") + string(REGEX REPLACE "-DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE}") + string(REGEX REPLACE "-DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_MINSIZEREL "${CMAKE_C_FLAGS_MINSIZEREL}") + # Prefer -O2 optimization level. (-O3 is CMake's default for Release for many compilers.) + string(REGEX REPLACE "-O3( |$)" "-O2\\1" CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE}") +endif() -include_directories( - . - src - # For the config - ${CMAKE_CURRENT_BINARY_DIR}/src +# Define custom "Coverage" build type. +set(CMAKE_C_FLAGS_COVERAGE "${CMAKE_C_FLAGS_RELWITHDEBINFO} -O0 -DCOVERAGE=1 --coverage" CACHE STRING + "Flags used by the C compiler during \"Coverage\" builds." + FORCE ) - -# The library -add_library(secp256k1 src/secp256k1.c) -target_include_directories(secp256k1 - PUBLIC - $ - $ +set(CMAKE_EXE_LINKER_FLAGS_COVERAGE "${CMAKE_EXE_LINKER_FLAGS_RELWITHDEBINFO} --coverage" CACHE STRING + "Flags used for linking binaries during \"Coverage\" builds." + FORCE ) - -# Create alias for namespaced target -add_library(secp256k1::secp256k1 ALIAS secp256k1) - -set(SECP256K1_PUBLIC_HEADERS - include/secp256k1.h - include/secp256k1_preallocated.h +set(CMAKE_SHARED_LINKER_FLAGS_COVERAGE "${CMAKE_SHARED_LINKER_FLAGS_RELWITHDEBINFO} --coverage" CACHE STRING + "Flags used by the shared libraries linker during \"Coverage\" builds." + FORCE +) +mark_as_advanced( + CMAKE_C_FLAGS_COVERAGE + CMAKE_EXE_LINKER_FLAGS_COVERAGE + CMAKE_SHARED_LINKER_FLAGS_COVERAGE ) -option(SECP256K1_ENABLE_BIGNUM "Use the GMP bignum implementation" OFF) -if(SECP256K1_ENABLE_BIGNUM) - # We need to link in GMP - if(NOT __IS_NATIVE_BUILD) - # In Conan builds, use the Conan target - target_link_libraries(secp256k1 gmp::gmp) - else() - # In native builds, use the traditional FindGMP - find_package(GMP REQUIRED) - target_link_libraries(secp256k1 GMP::gmp) - endif() - set(USE_NUM_GMP 1) - set(USE_FIELD_INV_NUM 1) - set(USE_SCALAR_INV_NUM 1) -else() - set(USE_NUM_NONE 1) - set(USE_FIELD_INV_BUILTIN 1) - set(USE_SCALAR_INV_BUILTIN 1) -endif() - -message (STATUS "CMAKE_C_COMPILER_TARGET: ${CMAKE_C_COMPILER_TARGET}") -message (STATUS "CMAKE_SYSTEM_PROCESSOR: ${CMAKE_SYSTEM_PROCESSOR}") - -# Guess the target architecture, within the ones with supported ASM. -# First check if the CMAKE_C_COMPILER_TARGET is set (should be when -# cross compiling), then CMAKE_SYSTEM_PROCESSOR as a fallback if meaningful -# (this is not the case for ARM as the content is highly non standard). -if(CMAKE_C_COMPILER_TARGET MATCHES "x86_64" OR CMAKE_SYSTEM_PROCESSOR MATCHES "x86_64") - set(SECP256K1_ASM_BUILD_TARGET "x86_64") - set(SECP256K1_DEFAULT_USE_ASM ON) -elseif(CMAKE_C_COMPILER_TARGET MATCHES "arm-linux-gnueabihf") - set(SECP256K1_ASM_BUILD_TARGET "arm-linux-gnueabihf") - set(SECP256K1_DEFAULT_USE_ASM ON) -elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "arm64" OR CMAKE_SYSTEM_PROCESSOR MATCHES "aarch64") - # arm64/aarch64 doesn't have ASM support - set(SECP256K1_DEFAULT_USE_ASM OFF) -endif() - -# Enable ASM by default only if we are building for a compatible target. -# The user can still enable/disable it manually if needed. -option(SECP256K1_USE_ASM "Use assembly" ${SECP256K1_DEFAULT_USE_ASM}) - -if(SECP256K1_USE_ASM) - macro(unsupported_asm_error) - message(FATAL_ERROR - "Assembly is enabled, but not supported for your target architecture." - "Re-run cmake with -DSECP256K1_USE_ASM=OFF to disable ASM support." - ) - endmacro() - - if(SECP256K1_ASM_BUILD_TARGET MATCHES "x86_64") - # We check if amd64 asm is supported. - check_c_source_compiles(" - #include - int main() { - uint64_t a = 11, tmp; - __asm__ __volatile__(\"movq \$0x100000000,%1; mulq %%rsi\" : \"+a\"(a) : \"S\"(tmp) : \"cc\", \"%rdx\"); - return 0; - } - " USE_ASM_X86_64) - - if(NOT USE_ASM_X86_64) - unsupported_asm_error() - endif() - elseif(SECP256K1_ASM_BUILD_TARGET MATCHES "arm-linux-gnueabihf") - enable_language(ASM) - set(USE_EXTERNAL_ASM 1) - add_library(secp256k1_common src/asm/field_10x26_arm.s) - target_link_libraries(secp256k1 secp256k1_common) - else() - unsupported_asm_error() - endif() -endif() - -# We make sure __int128 is defined -include(CheckTypeSize) -check_type_size(__int128 SIZEOF___INT128) -if(SIZEOF___INT128 EQUAL 16) - set(HAVE___INT128 1) -else() - # If we do not support __int128, we should be falling back - # on 32bits implementations for field and scalar. -endif() - -# Select the finite field implementation to use. -# This can be autodetected or forced by setting USE_FIELD to 32bit or 64bit. -# See the truth table below: -# +----------------------------------------------------------------------------------------------------------------------+ -# | USE_FIELD=64bit | USE_FIELD=32bit | HAVE___INT128 | USE_ASM_X86_64 | USE_FIELD_5X52 | USE_FIELD_10x26 | Config error | -# +----------------------------------------------------------------------------------------------------------------------+ -# | 0 | 0 | 0 | 0 | 0 | 1 | 0 | -# | 0 | 0 | 0 | 1 | 1 | 0 | 0 | -# | 0 | 0 | 1 | 0 | 1 | 0 | 0 | -# | 0 | 0 | 1 | 1 | 1 | 0 | 0 | -# | 0 | 1 | 0 | 0 | 0 | 1 | 0 | -# | 0 | 1 | 0 | 1 | 0 | 1 | 0 | -# | 0 | 1 | 1 | 0 | 0 | 1 | 0 | -# | 0 | 1 | 1 | 1 | 0 | 1 | 0 | -# | 1 | 0 | 0 | 0 | 0 | 0 | 1 | -# | 1 | 0 | 0 | 1 | 1 | 0 | 0 | -# | 1 | 0 | 1 | 0 | 1 | 0 | 0 | -# | 1 | 0 | 1 | 1 | 1 | 0 | 0 | -# +----------------------------------------------------------------------------------------------------------------------+ -set(USE_FIELD "" CACHE STRING "Force the finite field implementation to use (can be 32bit or 64bit)") -if(USE_FIELD STREQUAL "64bit" AND NOT (HAVE___INT128 OR USE_ASM_X86_64)) - message(SEND_ERROR "64 finite field requested but the compiler does not support __int128 or inline assembly") -elseif(NOT USE_FIELD STREQUAL "32bit" AND (HAVE___INT128 OR USE_ASM_X86_64)) - set(USE_FIELD_5X52 1) -else() - set(USE_FIELD_10X26 1) -endif() - -# Select the scalar implementation to use. -# This can be autodetected or forced by setting USE_SCALAR to 32bit or 64bit. -# See the truth table below: -# +--------------------------------------------------------------------------------------------------------+ -# | USE_SCALAR=64bit | USE_SCALAR=32bit | HAVE___INT128 | USE_SCALAR_4X64 | USE_SCALAR_8X32 | Config error | -# +--------------------------------------------------------------------------------------------------------+ -# | 0 | 0 | 0 | 0 | 1 | 0 | -# | 0 | 0 | 1 | 1 | 0 | 0 | -# | 0 | 1 | 0 | 0 | 1 | 0 | -# | 0 | 1 | 1 | 0 | 1 | 0 | -# | 1 | 0 | 0 | 0 | 0 | 1 | -# | 1 | 0 | 1 | 1 | 0 | 0 | -# +--------------------------------------------------------------------------------------------------------+ -set(USE_SCALAR "" CACHE STRING "Force the scalar implementation to use (can be 32bit or 64bit)") -if(USE_SCALAR STREQUAL "64bit" AND NOT HAVE___INT128) - message(SEND_ERROR "64 scalar requested but the compiler does not support __int128") -elseif(NOT USE_SCALAR STREQUAL "32bit" AND HAVE___INT128) - set(USE_SCALAR_4X64 1) -else() - set(USE_SCALAR_8X32 1) +if(PROJECT_IS_TOP_LEVEL) + get_property(is_multi_config GLOBAL PROPERTY GENERATOR_IS_MULTI_CONFIG) + set(default_build_type "RelWithDebInfo") + if(is_multi_config) + set(CMAKE_CONFIGURATION_TYPES "${default_build_type}" "Release" "Debug" "MinSizeRel" "Coverage" CACHE STRING + "Supported configuration types." + FORCE + ) + else() + set_property(CACHE CMAKE_BUILD_TYPE PROPERTY + STRINGS "${default_build_type}" "Release" "Debug" "MinSizeRel" "Coverage" + ) + if(NOT CMAKE_BUILD_TYPE) + message(STATUS "Setting build type to \"${default_build_type}\" as none was specified") + set(CMAKE_BUILD_TYPE "${default_build_type}" CACHE STRING + "Choose the type of build." + FORCE + ) + endif() + endif() endif() -option(SECP256K1_BUILD_TEST "Build secp256k1's unit tests" ON) - -# Executable internal to secp256k1 need to have the HAVE_CONFIG_H define set. -# For convenience, we wrap this into a function. -function(link_secp256k1_internal NAME) - target_link_libraries(${NAME} secp256k1) - target_compile_definitions(${NAME} PRIVATE HAVE_CONFIG_H SECP256K1_BUILD) -endfunction(link_secp256k1_internal) - -# Phony target to build benchmarks -add_custom_target(bench-secp256k1) - -function(add_secp256k1_bench NAME) - set(EXECUTABLE_NAME "${NAME}-bench") - add_executable(${EXECUTABLE_NAME} EXCLUDE_FROM_ALL ${ARGN}) - link_secp256k1_internal(${EXECUTABLE_NAME}) - - set(BENCH_NAME "bench-secp256k1-${NAME}") - add_custom_target(${BENCH_NAME} - COMMENT "Benchmarking libsecp256k1 ${NAME}" - COMMAND ${EXECUTABLE_NAME} - USES_TERMINAL - ) - add_dependencies(bench-secp256k1 ${BENCH_NAME}) -endfunction(add_secp256k1_bench) - -# ECDH module -option(SECP256K1_ENABLE_MODULE_ECDH "Build libsecp256k1's ECDH module" OFF) -if(SECP256K1_ENABLE_MODULE_ECDH) - set(ENABLE_MODULE_ECDH 1) - add_secp256k1_bench(ecdh src/bench_ecdh.c) - list(APPEND SECP256K1_PUBLIC_HEADERS include/secp256k1_ecdh.h) +include(TryAppendCFlags) +if(MSVC) + # Keep the following commands ordered lexicographically. + try_append_c_flags(/W3) # Production quality warning level. + try_append_c_flags(/wd4146) # Disable warning C4146 "unary minus operator applied to unsigned type, result still unsigned". + try_append_c_flags(/wd4244) # Disable warning C4244 "'conversion' conversion from 'type1' to 'type2', possible loss of data". + try_append_c_flags(/wd4267) # Disable warning C4267 "'var' : conversion from 'size_t' to 'type', possible loss of data". + # Eliminate deprecation warnings for the older, less secure functions. + add_compile_definitions(_CRT_SECURE_NO_WARNINGS) +else() + # Keep the following commands ordered lexicographically. + try_append_c_flags(-pedantic) + try_append_c_flags(-Wall) # GCC >= 2.95 and probably many other compilers. + try_append_c_flags(-Wcast-align) # GCC >= 2.95. + try_append_c_flags(-Wcast-align=strict) # GCC >= 8.0. + try_append_c_flags(-Wconditional-uninitialized) # Clang >= 3.0 only. + try_append_c_flags(-Wextra) # GCC >= 3.4, this is the newer name of -W, which we don't use because older GCCs will warn about unused functions. + try_append_c_flags(-Wnested-externs) + try_append_c_flags(-Wno-long-long) # GCC >= 3.0, -Wlong-long is implied by -pedantic. + try_append_c_flags(-Wno-overlength-strings) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic. + try_append_c_flags(-Wno-unused-function) # GCC >= 3.0, -Wunused-function is implied by -Wall. + try_append_c_flags(-Wreserved-identifier) # Clang >= 13.0 only. + try_append_c_flags(-Wshadow) + try_append_c_flags(-Wstrict-prototypes) + try_append_c_flags(-Wundef) endif() -# MultiSet module -option(SECP256K1_ENABLE_MODULE_MULTISET "Build libsecp256k1's MULTISET module" ON) -if(SECP256K1_ENABLE_MODULE_MULTISET) - set(ENABLE_MODULE_MULTISET 1) - add_secp256k1_bench(multiset src/bench_multiset.c) - list(APPEND SECP256K1_PUBLIC_HEADERS include/secp256k1_multiset.h) -endif() +set(CMAKE_C_VISIBILITY_PRESET hidden) -# Recovery module -option(SECP256K1_ENABLE_MODULE_RECOVERY "Build libsecp256k1's recovery module" ON) -if(SECP256K1_ENABLE_MODULE_RECOVERY) - set(ENABLE_MODULE_RECOVERY 1) - add_secp256k1_bench(recover src/bench_recover.c) - list(APPEND SECP256K1_PUBLIC_HEADERS include/secp256k1_recovery.h) +set(print_msan_notice) +if(SECP256K1_BUILD_CTIME_TESTS) + include(CheckMemorySanitizer) + check_memory_sanitizer(msan_enabled) + if(msan_enabled) + try_append_c_flags(-fno-sanitize-memory-param-retval) + set(print_msan_notice YES) + endif() + unset(msan_enabled) endif() -# Schnorr module -option(SECP256K1_ENABLE_MODULE_SCHNORR "Build libsecp256k1's Schnorr module" ON) -if(SECP256K1_ENABLE_MODULE_SCHNORR) - set(ENABLE_MODULE_SCHNORR 1) - list(APPEND SECP256K1_PUBLIC_HEADERS include/secp256k1_schnorr.h) +set(SECP256K1_APPEND_CFLAGS "" CACHE STRING "Compiler flags that are appended to the command line after all other flags added by the build system. This variable is intended for debugging and special builds.") +if(SECP256K1_APPEND_CFLAGS) + # Appending to this low-level rule variable is the only way to + # guarantee that the flags appear at the end of the command line. + string(APPEND CMAKE_C_COMPILE_OBJECT " ${SECP256K1_APPEND_CFLAGS}") endif() -# External default callbacks -option(SECP256K1_ENABLE_EXTERNAL_DEFAULT_CALLBACKS "Enable external default callbacks" OFF) -if(SECP256K1_ENABLE_EXTERNAL_DEFAULT_CALLBACKS) - set(USE_EXTERNAL_DEFAULT_CALLBACKS 1) +set(SECP256K1_APPEND_LDFLAGS "" CACHE STRING "Linker flags that are appended to the command line after all other flags added by the build system. This variable is intended for debugging and special builds.") +if(SECP256K1_APPEND_LDFLAGS) + # Appending to this low-level rule variable is the only way to + # guarantee that the flags appear at the end of the command line. + string(APPEND CMAKE_C_CREATE_SHARED_LIBRARY " ${SECP256K1_APPEND_LDFLAGS}") + string(APPEND CMAKE_C_LINK_EXECUTABLE " ${SECP256K1_APPEND_LDFLAGS}") endif() -# Endomorphism -option(SECP256K1_ENABLE_ENDOMORPHISM "Enable endomorphism" ON) -if(SECP256K1_ENABLE_ENDOMORPHISM) - set(USE_ENDOMORPHISM 1) +if(NOT CMAKE_RUNTIME_OUTPUT_DIRECTORY) + set(CMAKE_RUNTIME_OUTPUT_DIRECTORY ${PROJECT_BINARY_DIR}/bin) endif() - -# Make the emult window size customizable. -set(SECP256K1_ECMULT_WINDOW_SIZE 15 CACHE STRING "Window size for ecmult precomputation for verification, specified as integer in range [2..24].") -if(${SECP256K1_ECMULT_WINDOW_SIZE} LESS 2 OR ${SECP256K1_ECMULT_WINDOW_SIZE} GREATER 24) - message(FATAL_ERROR "SECP256K1_ECMULT_WINDOW_SIZE must be an integer in range [2..24]") +if(NOT CMAKE_LIBRARY_OUTPUT_DIRECTORY) + set(CMAKE_LIBRARY_OUTPUT_DIRECTORY ${PROJECT_BINARY_DIR}/lib) endif() - -set(SECP256K1_ECMULT_GEN_PRECISION 4 CACHE STRING "Precision bits to tune the precomputed table size for signing.") -set(VALID_PRECISIONS 2 4 8) -if(NOT ${SECP256K1_ECMULT_GEN_PRECISION} IN_LIST VALID_PRECISIONS) - message(FATAL_ERROR "SECP256K1_ECMULT_GEN_PRECISION not 2, 4, 8") +if(NOT CMAKE_ARCHIVE_OUTPUT_DIRECTORY) + set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${PROJECT_BINARY_DIR}/lib) endif() - -# Static precomputation for elliptic curve multiplication -option(SECP256K1_ECMULT_STATIC_PRECOMPUTATION "Precompute libsecp256k1's elliptic curve multiplication tables" ON) -if(SECP256K1_ECMULT_STATIC_PRECOMPUTATION) - set(USE_ECMULT_STATIC_PRECOMPUTATION 1) - - # Check if precomputed table already exists (generated by Conan tool) - set(PRECOMPUTED_TABLE_FILE "${CMAKE_CURRENT_SOURCE_DIR}/src/ecmult_static_context.h") - if(EXISTS "${PRECOMPUTED_TABLE_FILE}") - message(STATUS "Using existing precomputed secp256k1 tables: ${PRECOMPUTED_TABLE_FILE}") - target_sources(secp256k1 PRIVATE src/ecmult_static_context.h) - else() - # Fall back to native build system (legacy) - message(STATUS "Precomputed table not found, using native build system") - include(NativeExecutable) - native_add_cmake_flags( - "-DSECP256K1_ECMULT_WINDOW_SIZE=${SECP256K1_ECMULT_WINDOW_SIZE}" - "-DSECP256K1_ECMULT_GEN_PRECISION=${SECP256K1_ECMULT_GEN_PRECISION}" - "-DSECP256K1_USE_ASM=OFF" - ) - add_native_executable(gen_context src/gen_context.c) - - add_custom_command( - OUTPUT src/ecmult_static_context.h - COMMAND gen_context - ) - - target_sources(secp256k1 PRIVATE src/ecmult_static_context.h) - endif() +add_subdirectory(src) +if(SECP256K1_BUILD_EXAMPLES) + add_subdirectory(examples) endif() -include(InstallationHelper) +message("\n") +message("secp256k1 configure summary") +message("===========================") +message("Build artifacts:") if(BUILD_SHARED_LIBS) - install_shared_library(secp256k1 PUBLIC_HEADER ${SECP256K1_PUBLIC_HEADERS}) + set(library_type "Shared") else() - set_property(TARGET secp256k1 PROPERTY PUBLIC_HEADER ${SECP256K1_PUBLIC_HEADERS}) - install_target(secp256k1) + set(library_type "Static") endif() -# Create export set for secp256k1 -install(TARGETS secp256k1 - EXPORT secp256k1-targets - LIBRARY DESTINATION lib - ARCHIVE DESTINATION lib - RUNTIME DESTINATION bin - PUBLIC_HEADER DESTINATION include -) - -# Install the export set -install(EXPORT secp256k1-targets - FILE secp256k1-targets.cmake - NAMESPACE secp256k1:: - DESTINATION lib/cmake/secp256k1 -) - -# Generate the config -configure_file(src/libsecp256k1-config.h.cmake.in src/libsecp256k1-config.h ESCAPE_QUOTES) -target_compile_definitions(secp256k1 PRIVATE HAVE_CONFIG_H SECP256K1_BUILD) - -# Build the Java binding -option(SECP256K1_ENABLE_JNI "Enable the Java Native Interface binding" OFF) -if(SECP256K1_ENABLE_JNI) - if(NOT SECP256K1_ENABLE_MODULE_ECDH) - message(FATAL_ERROR "The secp256k1 JNI support requires ECDH. Try again with -DSECP256K1_ENABLE_MODULE_ECDH=ON.") - endif() - - find_package(Java REQUIRED) - find_package(JNI REQUIRED) - include(UseJava) - - add_library(secp256k1_jni SHARED - src/java/org_bitcoin_NativeSecp256k1.c - src/java/org_bitcoin_Secp256k1Context.c - ) - - install_shared_library(secp256k1_jni) - - target_include_directories(secp256k1_jni PUBLIC ${JNI_INCLUDE_DIRS}) - # As per CMake documentation: the POSITION_INDEPENDENT_CODE property is set - # when a target is created. It defaults to True for SHARED or MODULE library - # targets and False otherwise. - # The secp256ki_jni library being shared, the property is set and it will - # build with PIC enabled. But the secp256k1 dependency might not have the - # property set, so it's associated source files won't be built with PIC - # enabled. That would cause the linker to fail. - # Forcing the property for the secp256k1 library fixes the issue. - set_target_properties(secp256k1 PROPERTIES POSITION_INDEPENDENT_CODE ON) - link_secp256k1_internal(secp256k1_jni) -endif() - -# Tests -message(STATUS "secp256k1 test configuration:") -message(STATUS " SECP256K1_BUILD_TEST: ${SECP256K1_BUILD_TEST}") -message(STATUS " ENABLE_TEST: ${ENABLE_TEST}") - -if(SECP256K1_BUILD_TEST AND ENABLE_TEST) - message(STATUS "secp256k1: Building tests (condition met: SECP256K1_BUILD_TEST AND ENABLE_TEST)") - include(TestSuite) - create_test_suite(secp256k1) - - function(create_secp256k1_test NAME FILES) - message(STATUS "secp256k1: Creating test ${NAME} with files: ${FILES}") - # Create the test executable, but don't exclude from all if tests are enabled - add_executable(${NAME} ${FILES}) - link_secp256k1_internal(${NAME}) - # Also add to CTest for integration with ctest command - add_test(NAME ${NAME} COMMAND ${NAME}) - message(STATUS "secp256k1: Added test ${NAME} to CTest and will be built automatically") - endfunction() - - create_secp256k1_test(secp256k1-tests src/tests.c) - create_secp256k1_test(secp256k1-exhaustive_tests src/tests_exhaustive.c) - - # This should not be enabled at the same time as coverage is. - # The VERIFY failure branch is not expected to be reached, so it would make - # coverage appear lower if set. - if(NOT SECP256K1_ENABLE_COVERAGE) - target_compile_definitions(secp256k1-tests PRIVATE VERIFY) - target_compile_definitions(secp256k1-exhaustive_tests PRIVATE VERIFY) - endif() - - if(SECP256K1_ENABLE_JNI) - set(SECP256k1_JNI_TEST_JAR "secp256k1-jni-test") - - set(CMAKE_JNI_TARGET TRUE) - add_jar(secp256k1-jni-test-jar - SOURCES - src/java/org/bitcoin/NativeSecp256k1.java - src/java/org/bitcoin/NativeSecp256k1Test.java - src/java/org/bitcoin/NativeSecp256k1Util.java - src/java/org/bitcoin/Secp256k1Context.java - ENTRY_POINT org/bitcoin/NativeSecp256k1Test - OUTPUT_NAME "${SECP256k1_JNI_TEST_JAR}" - ) - add_dependencies(secp256k1-jni-test-jar secp256k1_jni) - - add_custom_target(check-secp256k1-java - COMMAND - "${Java_JAVA_EXECUTABLE}" - "-Djava.library.path=${CMAKE_CURRENT_BINARY_DIR}" - "-jar" - "${SECP256k1_JNI_TEST_JAR}.jar" - WORKING_DIRECTORY - "${CMAKE_CURRENT_BINARY_DIR}" - ) - add_dependencies(check-secp256k1-java secp256k1-jni-test-jar) - add_dependencies(check-secp256k1 check-secp256k1-java) - endif() -endif(SECP256K1_BUILD_TEST AND ENABLE_TEST) - -# Benchmarks -add_secp256k1_bench(verify src/bench_verify.c) -add_secp256k1_bench(sign src/bench_sign.c) -add_secp256k1_bench(internal src/bench_internal.c) -add_secp256k1_bench(ecmult src/bench_ecmult.c) - -# Restore original CMAKE_MODULE_PATH to avoid interfering with other modules -set(CMAKE_MODULE_PATH ${SECP256K1_ORIGINAL_MODULE_PATH}) +message(" library type ........................ ${library_type}") +message("Optional modules:") +message(" ECDH ................................ ${SECP256K1_ENABLE_MODULE_ECDH}") +message(" ECDSA pubkey recovery ............... ${SECP256K1_ENABLE_MODULE_RECOVERY}") +message(" extrakeys ........................... ${SECP256K1_ENABLE_MODULE_EXTRAKEYS}") +message(" schnorrsig .......................... ${SECP256K1_ENABLE_MODULE_SCHNORRSIG}") +message(" musig ............................... ${SECP256K1_ENABLE_MODULE_MUSIG}") +message(" ElligatorSwift ...................... ${SECP256K1_ENABLE_MODULE_ELLSWIFT}") +message("Parameters:") +message(" ecmult window size .................. ${SECP256K1_ECMULT_WINDOW_SIZE}") +message(" ecmult gen table size ............... ${SECP256K1_ECMULT_GEN_KB} KiB") +message("Optional features:") +message(" assembly ............................ ${SECP256K1_ASM}") +message(" external callbacks .................. ${SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS}") +if(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) + message(" wide multiplication (test-only) ..... ${SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY}") +endif() +message("Optional binaries:") +message(" benchmark ........................... ${SECP256K1_BUILD_BENCHMARK}") +message(" noverify_tests ...................... ${SECP256K1_BUILD_TESTS}") +set(tests_status "${SECP256K1_BUILD_TESTS}") +if(CMAKE_BUILD_TYPE STREQUAL "Coverage") + set(tests_status OFF) +endif() +message(" tests ............................... ${tests_status}") +message(" exhaustive tests .................... ${SECP256K1_BUILD_EXHAUSTIVE_TESTS}") +message(" ctime_tests ......................... ${SECP256K1_BUILD_CTIME_TESTS}") +message(" examples ............................ ${SECP256K1_BUILD_EXAMPLES}") +message("") +if(CMAKE_CROSSCOMPILING) + set(cross_status "TRUE, for ${CMAKE_SYSTEM_NAME}, ${CMAKE_SYSTEM_PROCESSOR}") +else() + set(cross_status "FALSE") +endif() +message("Cross compiling ....................... ${cross_status}") +message("Valgrind .............................. ${SECP256K1_VALGRIND}") +get_directory_property(definitions COMPILE_DEFINITIONS) +string(REPLACE ";" " " definitions "${definitions}") +message("Preprocessor defined macros ........... ${definitions}") +message("C compiler ............................ ${CMAKE_C_COMPILER_ID} ${CMAKE_C_COMPILER_VERSION}, ${CMAKE_C_COMPILER}") +message("CFLAGS ................................ ${CMAKE_C_FLAGS}") +get_directory_property(compile_options COMPILE_OPTIONS) +string(REPLACE ";" " " compile_options "${compile_options}") +message("Compile options ....................... " ${compile_options}) +if(NOT is_multi_config) + message("Build type:") + message(" - CMAKE_BUILD_TYPE ................... ${CMAKE_BUILD_TYPE}") + string(TOUPPER "${CMAKE_BUILD_TYPE}" build_type) + message(" - CFLAGS ............................. ${CMAKE_C_FLAGS_${build_type}}") + message(" - LDFLAGS for executables ............ ${CMAKE_EXE_LINKER_FLAGS_${build_type}}") + message(" - LDFLAGS for shared libraries ....... ${CMAKE_SHARED_LINKER_FLAGS_${build_type}}") +else() + message("Supported configurations .............. ${CMAKE_CONFIGURATION_TYPES}") + message("RelWithDebInfo configuration:") + message(" - CFLAGS ............................. ${CMAKE_C_FLAGS_RELWITHDEBINFO}") + message(" - LDFLAGS for executables ............ ${CMAKE_EXE_LINKER_FLAGS_RELWITHDEBINFO}") + message(" - LDFLAGS for shared libraries ....... ${CMAKE_SHARED_LINKER_FLAGS_RELWITHDEBINFO}") + message("Debug configuration:") + message(" - CFLAGS ............................. ${CMAKE_C_FLAGS_DEBUG}") + message(" - LDFLAGS for executables ............ ${CMAKE_EXE_LINKER_FLAGS_DEBUG}") + message(" - LDFLAGS for shared libraries ....... ${CMAKE_SHARED_LINKER_FLAGS_DEBUG}") +endif() +if(SECP256K1_APPEND_CFLAGS) + message("SECP256K1_APPEND_CFLAGS ............... ${SECP256K1_APPEND_CFLAGS}") +endif() +if(SECP256K1_APPEND_LDFLAGS) + message("SECP256K1_APPEND_LDFLAGS .............. ${SECP256K1_APPEND_LDFLAGS}") +endif() +message("") +if(print_msan_notice) + message( + "Note:\n" + " MemorySanitizer detected, tried to add -fno-sanitize-memory-param-retval to compile options\n" + " to avoid false positives in ctime_tests. Pass -DSECP256K1_BUILD_CTIME_TESTS=OFF to avoid this.\n" + ) +endif() +if(SECP256K1_EXPERIMENTAL) + message( + " ******\n" + " WARNING: experimental build\n" + " Experimental features do not have stable APIs or properties, and may not be safe for production use.\n" + " ******\n" + ) +endif() diff --git a/src/secp256k1/Makefile.am b/src/secp256k1/Makefile.am deleted file mode 100644 index b51968e3..00000000 --- a/src/secp256k1/Makefile.am +++ /dev/null @@ -1,186 +0,0 @@ -ACLOCAL_AMFLAGS = -I build-aux/m4 - -SECP256K1_LIB = libsecp256k1.la -lib_LTLIBRARIES = $(SECP256K1_LIB) -if USE_JNI -lib_LTLIBRARIES += libsecp256k1_jni.la -endif -include_HEADERS = include/secp256k1.h -include_HEADERS += include/secp256k1_preallocated.h -noinst_HEADERS = -noinst_HEADERS += src/scalar.h -noinst_HEADERS += src/scalar_4x64.h -noinst_HEADERS += src/scalar_8x32.h -noinst_HEADERS += src/scalar_low.h -noinst_HEADERS += src/scalar_impl.h -noinst_HEADERS += src/scalar_4x64_impl.h -noinst_HEADERS += src/scalar_8x32_impl.h -noinst_HEADERS += src/scalar_low_impl.h -noinst_HEADERS += src/group.h -noinst_HEADERS += src/group_impl.h -noinst_HEADERS += src/num_gmp.h -noinst_HEADERS += src/num_gmp_impl.h -noinst_HEADERS += src/ecdsa.h -noinst_HEADERS += src/ecdsa_impl.h -noinst_HEADERS += src/eckey.h -noinst_HEADERS += src/eckey_impl.h -noinst_HEADERS += src/ecmult.h -noinst_HEADERS += src/ecmult_impl.h -noinst_HEADERS += src/ecmult_const.h -noinst_HEADERS += src/ecmult_const_impl.h -noinst_HEADERS += src/ecmult_gen.h -noinst_HEADERS += src/ecmult_gen_impl.h -noinst_HEADERS += src/num.h -noinst_HEADERS += src/num_impl.h -noinst_HEADERS += src/field_10x26.h -noinst_HEADERS += src/field_10x26_impl.h -noinst_HEADERS += src/field_5x52.h -noinst_HEADERS += src/field_5x52_impl.h -noinst_HEADERS += src/field_5x52_int128_impl.h -noinst_HEADERS += src/field_5x52_asm_impl.h -noinst_HEADERS += src/java/org_bitcoin_NativeSecp256k1.h -noinst_HEADERS += src/java/org_bitcoin_Secp256k1Context.h -noinst_HEADERS += src/util.h -noinst_HEADERS += src/scratch.h -noinst_HEADERS += src/scratch_impl.h -noinst_HEADERS += src/testrand.h -noinst_HEADERS += src/testrand_impl.h -noinst_HEADERS += src/hash.h -noinst_HEADERS += src/hash_impl.h -noinst_HEADERS += src/field.h -noinst_HEADERS += src/field_impl.h -noinst_HEADERS += src/bench.h -noinst_HEADERS += contrib/lax_der_parsing.h -noinst_HEADERS += contrib/lax_der_parsing.c -noinst_HEADERS += contrib/lax_der_privatekey_parsing.h -noinst_HEADERS += contrib/lax_der_privatekey_parsing.c - -if USE_EXTERNAL_ASM -COMMON_LIB = libsecp256k1_common.la -noinst_LTLIBRARIES = $(COMMON_LIB) -else -COMMON_LIB = -endif - -pkgconfigdir = $(libdir)/pkgconfig -pkgconfig_DATA = libsecp256k1.pc - -if USE_EXTERNAL_ASM -if USE_ASM_ARM -libsecp256k1_common_la_SOURCES = src/asm/field_10x26_arm.s -endif -endif - -libsecp256k1_la_SOURCES = src/secp256k1.c -libsecp256k1_la_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES) -libsecp256k1_la_LIBADD = $(SECP_LIBS) $(COMMON_LIB) - -libsecp256k1_jni_la_SOURCES = src/java/org_bitcoin_NativeSecp256k1.c src/java/org_bitcoin_Secp256k1Context.c -libsecp256k1_jni_la_CPPFLAGS = -DSECP256K1_BUILD $(JNI_INCLUDES) -libsecp256k1_jni_la_LIBADD = $(SECP256K1_LIB) - -noinst_PROGRAMS = -if USE_BENCHMARK -noinst_PROGRAMS += bench_verify bench_sign bench_internal bench_ecmult -bench_verify_SOURCES = src/bench_verify.c -bench_verify_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) -bench_sign_SOURCES = src/bench_sign.c -bench_sign_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) -bench_internal_SOURCES = src/bench_internal.c -bench_internal_LDADD = $(SECP_LIBS) $(COMMON_LIB) -bench_internal_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src $(SECP_INCLUDES) -bench_ecmult_SOURCES = src/bench_ecmult.c -bench_ecmult_LDADD = $(SECP_LIBS) $(COMMON_LIB) -bench_ecmult_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src $(SECP_INCLUDES) -endif - -TESTS = -if USE_TESTS -noinst_PROGRAMS += tests -tests_SOURCES = src/tests.c -tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES) -if !ENABLE_COVERAGE -tests_CPPFLAGS += -DVERIFY -endif -tests_LDADD = $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) -tests_LDFLAGS = -static -TESTS += tests -endif - -if USE_EXHAUSTIVE_TESTS -noinst_PROGRAMS += exhaustive_tests -exhaustive_tests_SOURCES = src/tests_exhaustive.c -exhaustive_tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src $(SECP_INCLUDES) -if !ENABLE_COVERAGE -exhaustive_tests_CPPFLAGS += -DVERIFY -endif -exhaustive_tests_LDADD = $(SECP_LIBS) $(COMMON_LIB) -exhaustive_tests_LDFLAGS = -static -TESTS += exhaustive_tests -endif - -JAVA_ROOT=src/java -JAVA_ORG=org/bitcoin -JAVA_SRC=$(top_srcdir)/$(JAVA_ROOT)/$(JAVA_ORG) -JAVA_BUILD=$(top_builddir)/$(JAVA_ROOT) - -JAVA_FILES= \ - $(JAVA_SRC)/NativeSecp256k1.java \ - $(JAVA_SRC)/NativeSecp256k1Test.java \ - $(JAVA_SRC)/NativeSecp256k1Util.java \ - $(JAVA_SRC)/Secp256k1Context.java - -if USE_JNI - -.stamp-java: $(JAVA_FILES) - @echo Compiling $^ - $(AM_V_at)javac -d "$(JAVA_BUILD)" $^ - @touch $@ - -if USE_TESTS - -check-java: libsecp256k1_jni.la .stamp-java - $(AM_V_at)java -Djava.library.path="./:./src:./src/.libs:.libs/" -enableassertions -cp "$(JAVA_BUILD)" $(JAVA_ORG)/NativeSecp256k1Test - -endif -endif - -if USE_ECMULT_STATIC_PRECOMPUTATION -CPPFLAGS_FOR_BUILD +=-I$(top_srcdir) -I$(builddir)/src - -gen_context_OBJECTS = gen_context.o -gen_context_BIN = gen_context$(BUILD_EXEEXT) -gen_%.o: src/gen_%.c src/libsecp256k1-config.h - $(CC_FOR_BUILD) $(CPPFLAGS_FOR_BUILD) $(CFLAGS_FOR_BUILD) -c $< -o $@ - -$(gen_context_BIN): $(gen_context_OBJECTS) - $(CC_FOR_BUILD) $(CFLAGS_FOR_BUILD) $(LDFLAGS_FOR_BUILD) $^ -o $@ - -$(libsecp256k1_la_OBJECTS): src/ecmult_static_context.h -$(tests_OBJECTS): src/ecmult_static_context.h -$(bench_internal_OBJECTS): src/ecmult_static_context.h -$(bench_ecmult_OBJECTS): src/ecmult_static_context.h - -src/ecmult_static_context.h: $(gen_context_BIN) - ./$(gen_context_BIN) - -CLEANFILES = $(gen_context_BIN) src/ecmult_static_context.h $(JAVA_BUILD)/$(JAVA_ORG)/*.class .stamp-java -endif - -EXTRA_DIST = autogen.sh src/gen_context.c src/basic-config.h $(JAVA_FILES) - -if ENABLE_MODULE_ECDH -include src/modules/ecdh/Makefile.am.include -endif - -if ENABLE_MODULE_MULTISET -include src/modules/multiset/Makefile.am.include -endif - -if ENABLE_MODULE_RECOVERY -include src/modules/recovery/Makefile.am.include -endif - -if ENABLE_MODULE_SCHNORR -include src/modules/schnorr/Makefile.am.include -endif diff --git a/src/secp256k1/README.md b/src/secp256k1/README.md deleted file mode 100644 index d1e728c1..00000000 --- a/src/secp256k1/README.md +++ /dev/null @@ -1,145 +0,0 @@ -libsecp256k1 -============ - -Optimized C library for cryptographic operations on curve secp256k1. - -This library is used for consensus critical cryptographic operations on the Bitcoin Cash network. It is maintained within the Bitcoin Cash Node repository while following upstream sources which include Bitcoin Core and Bitcoin ABC. -Developers who want to contribute may do so either through the Bitcoin Cash Node project, or at [reviews.bitcoinabc.org](https://reviews.bitcoinabc.org/), or through Bitcoin Core. Use at your own risk. - -This library is intended to be the highest quality publicly available library for cryptography on the secp256k1 curve. However, the primary focus of its development has been for usage in the Bitcoin Cash system and usage unlike Bitcoin's may be less well tested, verified, or suffer from a less well thought out interface. Correct usage requires some care and consideration that the library is fit for your application's purpose. - -Features: -* secp256k1 ECDSA signing/verification and key generation. -* secp256k1 Schnorr signing/verification ([Bitcoin Cash Schnorr variant](https://www.bitcoincash.org/spec/2019-05-15-schnorr.html)). -* Additive and multiplicative tweaking of secret/public keys. -* Serialization/parsing of secret keys, public keys, signatures. -* Constant time, constant memory access signing and pubkey generation. -* Derandomized ECDSA (via RFC6979 or with a caller provided function.) -* Very efficient implementation. -* Suitable for embedded systems. -* Optional module for public key recovery. -* Optional module for ECDH key exchange (experimental). -* Optional module for multiset hash (experimental). - -Experimental features have not received enough scrutiny to satisfy the standard of quality of this library but are made available for testing and review by the community. The APIs of these features should not be considered stable. - -Implementation details ----------------------- - -* General - * No runtime heap allocation. - * Extensive testing infrastructure. - * Structured to facilitate review and analysis. - * Intended to be portable to any system with a C89 compiler and uint64_t support. - * No use of floating types. - * Expose only higher level interfaces to minimize the API surface and improve application security. ("Be difficult to use insecurely.") -* Field operations - * Optimized implementation of arithmetic modulo the curve's field size (2^256 - 0x1000003D1). - * Using 5 52-bit limbs (including hand-optimized assembly for x86_64, by Diederik Huys). - * Using 10 26-bit limbs (including hand-optimized assembly for 32-bit ARM, by Wladimir J. van der Laan). - * Field inverses and square roots using a sliding window over blocks of 1s (by Peter Dettman). -* Scalar operations - * Optimized implementation without data-dependent branches of arithmetic modulo the curve's order. - * Using 4 64-bit limbs (relying on __int128 support in the compiler). - * Using 8 32-bit limbs. -* Group operations - * Point addition formula specifically simplified for the curve equation (y^2 = x^3 + 7). - * Use addition between points in Jacobian and affine coordinates where possible. - * Use a unified addition/doubling formula where necessary to avoid data-dependent branches. - * Point/x comparison without a field inversion by comparison in the Jacobian coordinate space. -* Point multiplication for verification (a*P + b*G). - * Use wNAF notation for point multiplicands. - * Use a much larger window for multiples of G, using precomputed multiples. - * Use Shamir's trick to do the multiplication with the public key and the generator simultaneously. - * Optionally (off by default) use secp256k1's efficiently-computable endomorphism to split the P multiplicand into 2 half-sized ones. -* Point multiplication for signing - * Use a precomputed table of multiples of powers of 16 multiplied with the generator, so general multiplication becomes a series of additions. - * Intended to be completely free of timing sidechannels for secret-key operations (on reasonable hardware/toolchains) - * Access the table with branch-free conditional moves so memory access is uniform. - * No data-dependent branches - * Optional runtime blinding which attempts to frustrate differential power analysis. - * The precomputed tables add and eventually subtract points for which no known scalar (secret key) is known, preventing even an attacker with control over the secret key used to control the data internally. - -Build steps ------------ - -libsecp256k1 can be built using autotools: - -```bash -./autogen.sh -mkdir build -cd build -../configure -make -make check -sudo make install # optional -``` - -Or using CMake: - -```bash -mkdir build -cd build -cmake -GNinja .. -ninja -ninja check-secp256k1 -sudo ninja install # optional -``` - -Exhaustive tests ------------ - - $ ./exhaustive_tests - -With valgrind, you might need to increase the max stack size: - - $ valgrind --max-stackframe=2500000 ./exhaustive_tests - -Test coverage ------------ - -This library aims to have full coverage of the reachable lines and branches. - -__To create a test coverage report with autotools:__ - -Configure with `--enable-coverage` (use of GCC is necessary): - - $ ./configure --enable-coverage - -Run the tests: - - $ make check - -To create a report, `gcovr` is recommended, as it includes branch coverage reporting: - - $ gcovr --exclude 'src/bench*' --print-summary - -To create a HTML report with coloured and annotated source code: - - $ gcovr --exclude 'src/bench*' --html --html-details -o coverage.html - - -__To create a test coverage report with CMake:__ - -Make sure you installed the dependencies first, and they are in your `PATH`: -`c++filt`, `gcov`, `genhtml`, `lcov` and `python3`. - -Then run the build, tests and generate the coverage report with: - -```bash -mkdir coverage -cd coverage -cmake -GNinja .. \ - -DCMAKE_C_COMPILER=gcc \ - -DSECP256K1_ENABLE_COVERAGE=ON \ - -DSECP256K1_ENABLE_BRANCH_COVERAGE=ON # optional -ninja coverage-check-secp256k1 -``` - -The coverage report will be available by opening the file -`check-secp256k1.coverage/index.html` with a web browser. - -Reporting a vulnerability ------------- - -See [SECURITY.md](SECURITY.md) diff --git a/src/secp256k1/README_KTH.md b/src/secp256k1/README_KTH.md deleted file mode 100644 index ea80ac89..00000000 --- a/src/secp256k1/README_KTH.md +++ /dev/null @@ -1,61 +0,0 @@ -# secp256k1 in Knuth - -This directory contains the secp256k1 implementation updated from Bitcoin Cash Node (BCHN). - -## Update Information - -The latest update was performed on July 2, 2025, taking the source code from: -``` -bitcoin-cash-node-master/src/secp256k1/ -``` - -## Configuration Options - -The secp256k1 module now uses the following options in conanfile.py: - -| Option | Type | Description | -|--------|------|-------------| -| secp256k1_enable_coverage | bool | Enables code coverage generation | -| secp256k1_enable_branch_coverage | bool | Enables branch coverage | -| secp256k1_enable_bignum | bool | Uses GMP bignum implementation | -| secp256k1_use_asm | bool | Uses assembly optimizations | -| secp256k1_enable_module_ecdh | bool | Enables ECDH module | -| secp256k1_enable_module_multiset | bool | Enables MULTISET module | -| secp256k1_enable_module_recovery | bool | Enables recovery module | -| secp256k1_enable_module_schnorr | bool | Enables Schnorr module | -| secp256k1_enable_external_default_callbacks | bool | Enables external default callbacks | -| secp256k1_enable_endomorphism | bool | Enables endomorphism optimization | -| secp256k1_ecmult_window_size | int | Window size for ecmult precomputation (2-24) | -| secp256k1_ecmult_gen_precision | int (2,4,8) | Precision bits to tune precomputed table size for signing | -| secp256k1_ecmult_static_precomputation | bool | Precomputes elliptic curve multiplication tables | -| secp256k1_enable_jni | bool | Enables JNI interface | -| use_field | string | Forces finite field implementation ("", "32bit", "64bit") | -| use_scalar | string | Forces scalar implementation ("", "32bit", "64bit") | - -## Code Changes - -The update includes: -- Updated CMake build system -- Improved handling of optimizations for different architectures -- Enhanced support for modules: ECDH, MULTISET, Recovery, Schnorr -- Improvements in tests and benchmarks - -## Java / JNI - -The JNI interface is now disabled by default (`secp256k1_enable_jni`=False). If you need JNI functionality, you can enable this option. - -## How to Compile secp256k1 Only - -To compile only the secp256k1 module: - -```bash -cd src/secp256k1 -mkdir build && cd build -cmake .. -make -``` - -## References - -- [Original libsecp256k1 repository](https://github.com/bitcoin-core/secp256k1) -- [Official secp256k1 documentation](https://github.com/bitcoin-core/secp256k1/tree/master/doc) diff --git a/src/secp256k1/SECURITY.md b/src/secp256k1/SECURITY.md deleted file mode 100644 index 0e4d5880..00000000 --- a/src/secp256k1/SECURITY.md +++ /dev/null @@ -1,15 +0,0 @@ -# Security Policy - -## Reporting a Vulnerability - -To report security issues send an email to secp256k1-security@bitcoincore.org (not for support). - -The following keys may be used to communicate sensitive information to developers: - -| Name | Fingerprint | -|------|-------------| -| Pieter Wuille | 133E AC17 9436 F14A 5CF1 B794 860F EB80 4E66 9320 | -| Andrew Poelstra | 699A 63EF C17A D3A9 A34C FFC0 7AD0 A91C 40BD 0091 | -| Tim Ruffing | 09E0 3F87 1092 E40E 106E 902B 33BC 86AB 80FF 5516 | - -You can import a key by running the following command with that individual’s fingerprint: `gpg --recv-keys ""` Ensure that you put quotes around fingerprints containing spaces. diff --git a/src/secp256k1/TODO b/src/secp256k1/TODO deleted file mode 100644 index a300e1c5..00000000 --- a/src/secp256k1/TODO +++ /dev/null @@ -1,3 +0,0 @@ -* Unit tests for fieldelem/groupelem, including ones intended to - trigger fieldelem's boundary cases. -* Complete constant-time operations for signing/keygen diff --git a/src/secp256k1/autogen.sh b/src/secp256k1/autogen.sh deleted file mode 100755 index 65286b93..00000000 --- a/src/secp256k1/autogen.sh +++ /dev/null @@ -1,3 +0,0 @@ -#!/bin/sh -set -e -autoreconf -if --warnings=all diff --git a/src/secp256k1/build-aux/m4/ax_jni_include_dir.m4 b/src/secp256k1/build-aux/m4/ax_jni_include_dir.m4 deleted file mode 100644 index cdc78d87..00000000 --- a/src/secp256k1/build-aux/m4/ax_jni_include_dir.m4 +++ /dev/null @@ -1,145 +0,0 @@ -# =========================================================================== -# https://www.gnu.org/software/autoconf-archive/ax_jni_include_dir.html -# =========================================================================== -# -# SYNOPSIS -# -# AX_JNI_INCLUDE_DIR -# -# DESCRIPTION -# -# AX_JNI_INCLUDE_DIR finds include directories needed for compiling -# programs using the JNI interface. -# -# JNI include directories are usually in the Java distribution. This is -# deduced from the value of $JAVA_HOME, $JAVAC, or the path to "javac", in -# that order. When this macro completes, a list of directories is left in -# the variable JNI_INCLUDE_DIRS. -# -# Example usage follows: -# -# AX_JNI_INCLUDE_DIR -# -# for JNI_INCLUDE_DIR in $JNI_INCLUDE_DIRS -# do -# CPPFLAGS="$CPPFLAGS -I$JNI_INCLUDE_DIR" -# done -# -# If you want to force a specific compiler: -# -# - at the configure.in level, set JAVAC=yourcompiler before calling -# AX_JNI_INCLUDE_DIR -# -# - at the configure level, setenv JAVAC -# -# Note: This macro can work with the autoconf M4 macros for Java programs. -# This particular macro is not part of the original set of macros. -# -# LICENSE -# -# Copyright (c) 2008 Don Anderson -# -# Copying and distribution of this file, with or without modification, are -# permitted in any medium without royalty provided the copyright notice -# and this notice are preserved. This file is offered as-is, without any -# warranty. - -#serial 14 - -AU_ALIAS([AC_JNI_INCLUDE_DIR], [AX_JNI_INCLUDE_DIR]) -AC_DEFUN([AX_JNI_INCLUDE_DIR],[ - -JNI_INCLUDE_DIRS="" - -if test "x$JAVA_HOME" != x; then - _JTOPDIR="$JAVA_HOME" -else - if test "x$JAVAC" = x; then - JAVAC=javac - fi - AC_PATH_PROG([_ACJNI_JAVAC], [$JAVAC], [no]) - if test "x$_ACJNI_JAVAC" = xno; then - AC_MSG_WARN([cannot find JDK; try setting \$JAVAC or \$JAVA_HOME]) - fi - _ACJNI_FOLLOW_SYMLINKS("$_ACJNI_JAVAC") - _JTOPDIR=`echo "$_ACJNI_FOLLOWED" | sed -e 's://*:/:g' -e 's:/[[^/]]*$::'` -fi - -case "$host_os" in - darwin*) # Apple Java headers are inside the Xcode bundle. - macos_version=$(sw_vers -productVersion | sed -n -e 's/^@<:@0-9@:>@*.\(@<:@0-9@:>@*\).@<:@0-9@:>@*/\1/p') - if @<:@ "$macos_version" -gt "7" @:>@; then - _JTOPDIR="$(xcrun --show-sdk-path)/System/Library/Frameworks/JavaVM.framework" - _JINC="$_JTOPDIR/Headers" - else - _JTOPDIR="/System/Library/Frameworks/JavaVM.framework" - _JINC="$_JTOPDIR/Headers" - fi - ;; - *) _JINC="$_JTOPDIR/include";; -esac -_AS_ECHO_LOG([_JTOPDIR=$_JTOPDIR]) -_AS_ECHO_LOG([_JINC=$_JINC]) - -# On Mac OS X 10.6.4, jni.h is a symlink: -# /System/Library/Frameworks/JavaVM.framework/Versions/Current/Headers/jni.h -# -> ../../CurrentJDK/Headers/jni.h. -AC_CACHE_CHECK(jni headers, ac_cv_jni_header_path, -[ - if test -f "$_JINC/jni.h"; then - ac_cv_jni_header_path="$_JINC" - JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path" - else - _JTOPDIR=`echo "$_JTOPDIR" | sed -e 's:/[[^/]]*$::'` - if test -f "$_JTOPDIR/include/jni.h"; then - ac_cv_jni_header_path="$_JTOPDIR/include" - JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path" - else - ac_cv_jni_header_path=none - fi - fi -]) - -# get the likely subdirectories for system specific java includes -case "$host_os" in -bsdi*) _JNI_INC_SUBDIRS="bsdos";; -freebsd*) _JNI_INC_SUBDIRS="freebsd";; -darwin*) _JNI_INC_SUBDIRS="darwin";; -linux*) _JNI_INC_SUBDIRS="linux genunix";; -osf*) _JNI_INC_SUBDIRS="alpha";; -solaris*) _JNI_INC_SUBDIRS="solaris";; -mingw*) _JNI_INC_SUBDIRS="win32";; -cygwin*) _JNI_INC_SUBDIRS="win32";; -*) _JNI_INC_SUBDIRS="genunix";; -esac - -if test "x$ac_cv_jni_header_path" != "xnone"; then - # add any subdirectories that are present - for JINCSUBDIR in $_JNI_INC_SUBDIRS - do - if test -d "$_JTOPDIR/include/$JINCSUBDIR"; then - JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $_JTOPDIR/include/$JINCSUBDIR" - fi - done -fi -]) - -# _ACJNI_FOLLOW_SYMLINKS -# Follows symbolic links on , -# finally setting variable _ACJNI_FOLLOWED -# ---------------------------------------- -AC_DEFUN([_ACJNI_FOLLOW_SYMLINKS],[ -# find the include directory relative to the javac executable -_cur="$1" -while ls -ld "$_cur" 2>/dev/null | grep " -> " >/dev/null; do - AC_MSG_CHECKING([symlink for $_cur]) - _slink=`ls -ld "$_cur" | sed 's/.* -> //'` - case "$_slink" in - /*) _cur="$_slink";; - # 'X' avoids triggering unwanted echo options. - *) _cur=`echo "X$_cur" | sed -e 's/^X//' -e 's:[[^/]]*$::'`"$_slink";; - esac - AC_MSG_RESULT([$_cur]) -done -_ACJNI_FOLLOWED="$_cur" -])# _ACJNI diff --git a/src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4 b/src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4 deleted file mode 100644 index 77fd346a..00000000 --- a/src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4 +++ /dev/null @@ -1,125 +0,0 @@ -# =========================================================================== -# http://www.gnu.org/software/autoconf-archive/ax_prog_cc_for_build.html -# =========================================================================== -# -# SYNOPSIS -# -# AX_PROG_CC_FOR_BUILD -# -# DESCRIPTION -# -# This macro searches for a C compiler that generates native executables, -# that is a C compiler that surely is not a cross-compiler. This can be -# useful if you have to generate source code at compile-time like for -# example GCC does. -# -# The macro sets the CC_FOR_BUILD and CPP_FOR_BUILD macros to anything -# needed to compile or link (CC_FOR_BUILD) and preprocess (CPP_FOR_BUILD). -# The value of these variables can be overridden by the user by specifying -# a compiler with an environment variable (like you do for standard CC). -# -# It also sets BUILD_EXEEXT and BUILD_OBJEXT to the executable and object -# file extensions for the build platform, and GCC_FOR_BUILD to `yes' if -# the compiler we found is GCC. All these variables but GCC_FOR_BUILD are -# substituted in the Makefile. -# -# LICENSE -# -# Copyright (c) 2008 Paolo Bonzini -# -# Copying and distribution of this file, with or without modification, are -# permitted in any medium without royalty provided the copyright notice -# and this notice are preserved. This file is offered as-is, without any -# warranty. - -#serial 8 - -AU_ALIAS([AC_PROG_CC_FOR_BUILD], [AX_PROG_CC_FOR_BUILD]) -AC_DEFUN([AX_PROG_CC_FOR_BUILD], [dnl -AC_REQUIRE([AC_PROG_CC])dnl -AC_REQUIRE([AC_PROG_CPP])dnl -AC_REQUIRE([AC_EXEEXT])dnl -AC_REQUIRE([AC_CANONICAL_HOST])dnl - -dnl Use the standard macros, but make them use other variable names -dnl -pushdef([ac_cv_prog_CPP], ac_cv_build_prog_CPP)dnl -pushdef([ac_cv_prog_gcc], ac_cv_build_prog_gcc)dnl -pushdef([ac_cv_prog_cc_works], ac_cv_build_prog_cc_works)dnl -pushdef([ac_cv_prog_cc_cross], ac_cv_build_prog_cc_cross)dnl -pushdef([ac_cv_prog_cc_g], ac_cv_build_prog_cc_g)dnl -pushdef([ac_cv_exeext], ac_cv_build_exeext)dnl -pushdef([ac_cv_objext], ac_cv_build_objext)dnl -pushdef([ac_exeext], ac_build_exeext)dnl -pushdef([ac_objext], ac_build_objext)dnl -pushdef([CC], CC_FOR_BUILD)dnl -pushdef([CPP], CPP_FOR_BUILD)dnl -pushdef([CFLAGS], CFLAGS_FOR_BUILD)dnl -pushdef([CPPFLAGS], CPPFLAGS_FOR_BUILD)dnl -pushdef([LDFLAGS], LDFLAGS_FOR_BUILD)dnl -pushdef([host], build)dnl -pushdef([host_alias], build_alias)dnl -pushdef([host_cpu], build_cpu)dnl -pushdef([host_vendor], build_vendor)dnl -pushdef([host_os], build_os)dnl -pushdef([ac_cv_host], ac_cv_build)dnl -pushdef([ac_cv_host_alias], ac_cv_build_alias)dnl -pushdef([ac_cv_host_cpu], ac_cv_build_cpu)dnl -pushdef([ac_cv_host_vendor], ac_cv_build_vendor)dnl -pushdef([ac_cv_host_os], ac_cv_build_os)dnl -pushdef([ac_cpp], ac_build_cpp)dnl -pushdef([ac_compile], ac_build_compile)dnl -pushdef([ac_link], ac_build_link)dnl - -save_cross_compiling=$cross_compiling -save_ac_tool_prefix=$ac_tool_prefix -cross_compiling=no -ac_tool_prefix= - -AC_PROG_CC -AC_PROG_CPP -AC_EXEEXT - -ac_tool_prefix=$save_ac_tool_prefix -cross_compiling=$save_cross_compiling - -dnl Restore the old definitions -dnl -popdef([ac_link])dnl -popdef([ac_compile])dnl -popdef([ac_cpp])dnl -popdef([ac_cv_host_os])dnl -popdef([ac_cv_host_vendor])dnl -popdef([ac_cv_host_cpu])dnl -popdef([ac_cv_host_alias])dnl -popdef([ac_cv_host])dnl -popdef([host_os])dnl -popdef([host_vendor])dnl -popdef([host_cpu])dnl -popdef([host_alias])dnl -popdef([host])dnl -popdef([LDFLAGS])dnl -popdef([CPPFLAGS])dnl -popdef([CFLAGS])dnl -popdef([CPP])dnl -popdef([CC])dnl -popdef([ac_objext])dnl -popdef([ac_exeext])dnl -popdef([ac_cv_objext])dnl -popdef([ac_cv_exeext])dnl -popdef([ac_cv_prog_cc_g])dnl -popdef([ac_cv_prog_cc_cross])dnl -popdef([ac_cv_prog_cc_works])dnl -popdef([ac_cv_prog_gcc])dnl -popdef([ac_cv_prog_CPP])dnl - -dnl Finally, set Makefile variables -dnl -BUILD_EXEEXT=$ac_build_exeext -BUILD_OBJEXT=$ac_build_objext -AC_SUBST(BUILD_EXEEXT)dnl -AC_SUBST(BUILD_OBJEXT)dnl -AC_SUBST([CFLAGS_FOR_BUILD])dnl -AC_SUBST([CPPFLAGS_FOR_BUILD])dnl -AC_SUBST([LDFLAGS_FOR_BUILD])dnl -]) diff --git a/src/secp256k1/build-aux/m4/bitcoin_secp.m4 b/src/secp256k1/build-aux/m4/bitcoin_secp.m4 deleted file mode 100644 index 5174f7d8..00000000 --- a/src/secp256k1/build-aux/m4/bitcoin_secp.m4 +++ /dev/null @@ -1,28 +0,0 @@ -dnl libsecp25k1 helper checks -AC_DEFUN([SECP_INT128_CHECK],[ -has_int128=$ac_cv_type___int128 -]) - -dnl escape "$0x" below using the m4 quadrigaph @S|@, and escape it again with a \ for the shell. -AC_DEFUN([SECP_64BIT_ASM_CHECK],[ -AC_MSG_CHECKING(for x86_64 assembly availability) -AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[ - #include ]],[[ - uint64_t a = 11, tmp; - __asm__ __volatile__("movq \@S|@0x100000000,%1; mulq %%rsi" : "+a"(a) : "S"(tmp) : "cc", "%rdx"); - ]])],[has_64bit_asm=yes],[has_64bit_asm=no]) -AC_MSG_RESULT([$has_64bit_asm]) -]) - -dnl -AC_DEFUN([SECP_GMP_CHECK],[ -if test x"$has_gmp" != x"yes"; then - CPPFLAGS_TEMP="$CPPFLAGS" - CPPFLAGS="$GMP_CPPFLAGS $CPPFLAGS" - LIBS_TEMP="$LIBS" - LIBS="$GMP_LIBS $LIBS" - AC_CHECK_HEADER(gmp.h,[AC_CHECK_LIB(gmp, __gmpz_init,[has_gmp=yes; GMP_LIBS="$GMP_LIBS -lgmp"; AC_DEFINE(HAVE_LIBGMP,1,[Define this symbol if libgmp is installed])])]) - CPPFLAGS="$CPPFLAGS_TEMP" - LIBS="$LIBS_TEMP" -fi -]) diff --git a/src/secp256k1/cmake/CheckArm32Assembly.cmake b/src/secp256k1/cmake/CheckArm32Assembly.cmake new file mode 100644 index 00000000..baeeff02 --- /dev/null +++ b/src/secp256k1/cmake/CheckArm32Assembly.cmake @@ -0,0 +1,6 @@ +function(check_arm32_assembly) + try_compile(HAVE_ARM32_ASM + ${PROJECT_BINARY_DIR}/check_arm32_assembly + SOURCES ${PROJECT_SOURCE_DIR}/cmake/source_arm32.s + ) +endfunction() diff --git a/src/secp256k1/cmake/CheckMemorySanitizer.cmake b/src/secp256k1/cmake/CheckMemorySanitizer.cmake new file mode 100644 index 00000000..d9ef681e --- /dev/null +++ b/src/secp256k1/cmake/CheckMemorySanitizer.cmake @@ -0,0 +1,18 @@ +include_guard(GLOBAL) +include(CheckCSourceCompiles) + +function(check_memory_sanitizer output) + set(CMAKE_TRY_COMPILE_TARGET_TYPE STATIC_LIBRARY) + check_c_source_compiles(" + #if defined(__has_feature) + # if __has_feature(memory_sanitizer) + /* MemorySanitizer is enabled. */ + # elif + # error \"MemorySanitizer is disabled.\" + # endif + #else + # error \"__has_feature is not defined.\" + #endif + " HAVE_MSAN) + set(${output} ${HAVE_MSAN} PARENT_SCOPE) +endfunction() diff --git a/src/secp256k1/cmake/CheckStringOptionValue.cmake b/src/secp256k1/cmake/CheckStringOptionValue.cmake new file mode 100644 index 00000000..5a4d939b --- /dev/null +++ b/src/secp256k1/cmake/CheckStringOptionValue.cmake @@ -0,0 +1,10 @@ +function(check_string_option_value option) + get_property(expected_values CACHE ${option} PROPERTY STRINGS) + if(expected_values) + if(${option} IN_LIST expected_values) + return() + endif() + message(FATAL_ERROR "${option} value is \"${${option}}\", but must be one of ${expected_values}.") + endif() + message(AUTHOR_WARNING "The STRINGS property must be set before invoking `check_string_option_value' function.") +endfunction() diff --git a/src/secp256k1/cmake/CheckX86_64Assembly.cmake b/src/secp256k1/cmake/CheckX86_64Assembly.cmake new file mode 100644 index 00000000..ae82cd47 --- /dev/null +++ b/src/secp256k1/cmake/CheckX86_64Assembly.cmake @@ -0,0 +1,14 @@ +include(CheckCSourceCompiles) + +function(check_x86_64_assembly) + check_c_source_compiles(" + #include + + int main() + { + uint64_t a = 11, tmp; + __asm__ __volatile__(\"movq $0x100000000,%1; mulq %%rsi\" : \"+a\"(a) : \"S\"(tmp) : \"cc\", \"%rdx\"); + } + " HAVE_X86_64_ASM) + set(HAVE_X86_64_ASM ${HAVE_X86_64_ASM} PARENT_SCOPE) +endfunction() diff --git a/src/secp256k1/cmake/FindValgrind.cmake b/src/secp256k1/cmake/FindValgrind.cmake new file mode 100644 index 00000000..3af5e691 --- /dev/null +++ b/src/secp256k1/cmake/FindValgrind.cmake @@ -0,0 +1,41 @@ +if(CMAKE_HOST_APPLE) + find_program(BREW_COMMAND brew) + execute_process( + COMMAND ${BREW_COMMAND} --prefix valgrind + OUTPUT_VARIABLE valgrind_brew_prefix + ERROR_QUIET + OUTPUT_STRIP_TRAILING_WHITESPACE + ) +endif() + +set(hints_paths) +if(valgrind_brew_prefix) + set(hints_paths ${valgrind_brew_prefix}/include) +endif() + +find_path(Valgrind_INCLUDE_DIR + NAMES valgrind/memcheck.h + HINTS ${hints_paths} +) + +if(Valgrind_INCLUDE_DIR) + include(CheckCSourceCompiles) + set(CMAKE_REQUIRED_INCLUDES ${Valgrind_INCLUDE_DIR}) + check_c_source_compiles(" + #include + #if defined(NVALGRIND) + # error \"Valgrind does not support this platform.\" + #endif + + int main() {} + " Valgrind_WORKS) +endif() + +include(FindPackageHandleStandardArgs) +find_package_handle_standard_args(Valgrind + REQUIRED_VARS Valgrind_INCLUDE_DIR Valgrind_WORKS +) + +mark_as_advanced( + Valgrind_INCLUDE_DIR +) diff --git a/src/secp256k1/cmake/GeneratePkgConfigFile.cmake b/src/secp256k1/cmake/GeneratePkgConfigFile.cmake new file mode 100644 index 00000000..9c1d7f1d --- /dev/null +++ b/src/secp256k1/cmake/GeneratePkgConfigFile.cmake @@ -0,0 +1,8 @@ +function(generate_pkg_config_file in_file) + set(prefix ${CMAKE_INSTALL_PREFIX}) + set(exec_prefix \${prefix}) + set(libdir \${exec_prefix}/${CMAKE_INSTALL_LIBDIR}) + set(includedir \${prefix}/${CMAKE_INSTALL_INCLUDEDIR}) + set(PACKAGE_VERSION ${PROJECT_VERSION}) + configure_file(${in_file} ${PROJECT_NAME}.pc @ONLY) +endfunction() diff --git a/src/secp256k1/cmake/TryAppendCFlags.cmake b/src/secp256k1/cmake/TryAppendCFlags.cmake new file mode 100644 index 00000000..1d81a931 --- /dev/null +++ b/src/secp256k1/cmake/TryAppendCFlags.cmake @@ -0,0 +1,24 @@ +include(CheckCCompilerFlag) + +function(secp256k1_check_c_flags_internal flags output) + string(MAKE_C_IDENTIFIER "${flags}" result) + string(TOUPPER "${result}" result) + set(result "C_SUPPORTS_${result}") + if(NOT MSVC) + set(CMAKE_REQUIRED_FLAGS "-Werror") + endif() + + # This avoids running a linker. + set(CMAKE_TRY_COMPILE_TARGET_TYPE STATIC_LIBRARY) + check_c_compiler_flag("${flags}" ${result}) + + set(${output} ${${result}} PARENT_SCOPE) +endfunction() + +# Append flags to the COMPILE_OPTIONS directory property if CC accepts them. +macro(try_append_c_flags) + secp256k1_check_c_flags_internal("${ARGV}" result) + if(result) + add_compile_options(${ARGV}) + endif() +endmacro() diff --git a/src/secp256k1/cmake/arm-linux-gnueabihf.toolchain.cmake b/src/secp256k1/cmake/arm-linux-gnueabihf.toolchain.cmake new file mode 100644 index 00000000..0d91912b --- /dev/null +++ b/src/secp256k1/cmake/arm-linux-gnueabihf.toolchain.cmake @@ -0,0 +1,3 @@ +set(CMAKE_SYSTEM_NAME Linux) +set(CMAKE_SYSTEM_PROCESSOR arm) +set(CMAKE_C_COMPILER arm-linux-gnueabihf-gcc) diff --git a/src/secp256k1/cmake/config.cmake.in b/src/secp256k1/cmake/config.cmake.in new file mode 100644 index 00000000..46b180ab --- /dev/null +++ b/src/secp256k1/cmake/config.cmake.in @@ -0,0 +1,5 @@ +@PACKAGE_INIT@ + +include("${CMAKE_CURRENT_LIST_DIR}/@PROJECT_NAME@-targets.cmake") + +check_required_components(@PROJECT_NAME@) diff --git a/src/secp256k1/cmake/modules/AddCompilerFlags.cmake b/src/secp256k1/cmake/modules/AddCompilerFlags.cmake deleted file mode 100644 index 3a927fa7..00000000 --- a/src/secp256k1/cmake/modules/AddCompilerFlags.cmake +++ /dev/null @@ -1,186 +0,0 @@ -# Allow to easily add flags for C and C++ -include(CheckCXXCompilerFlag) -include(CheckCCompilerFlag) -include(SanitizeHelper) - -function(check_compiler_flags RESULT LANGUAGE) - sanitize_c_cxx_definition("have_${LANGUAGE}_" "${ARGN}" TEST_NAME) - - if("${LANGUAGE}" STREQUAL "C") - CHECK_C_COMPILER_FLAG("${ARGN}" ${TEST_NAME}) - elseif("${LANGUAGE}" STREQUAL "CXX") - CHECK_CXX_COMPILER_FLAG("${ARGN}" ${TEST_NAME}) - else() - message(FATAL_ERROR "check_compiler_flags LANGUAGE should be C or CXX") - endif() - set(${RESULT} ${${TEST_NAME}} PARENT_SCOPE) -endfunction() - -function(add_compiler_flags_for_language LANGUAGE) - foreach(f ${ARGN}) - check_compiler_flags(FLAG_IS_SUPPORTED ${LANGUAGE} ${f}) - if(${FLAG_IS_SUPPORTED}) - add_compile_options($<$:${f}>) - endif() - endforeach() -endfunction() - -macro(add_c_compiler_flags) - add_compiler_flags_for_language(C ${ARGN}) -endmacro() - -macro(add_cxx_compiler_flags) - add_compiler_flags_for_language(CXX ${ARGN}) -endmacro() - -macro(add_compiler_flags) - add_c_compiler_flags(${ARGN}) - add_cxx_compiler_flags(${ARGN}) -endmacro() - -function(add_compiler_flag_group_for_language LANGUAGE) - check_compiler_flags(FLAG_GROUP_IS_SUPPORTED ${LANGUAGE} ${ARGN}) - if(${FLAG_GROUP_IS_SUPPORTED}) - add_compile_options("$<$:${ARGN}>") - endif() -endfunction() - -macro(add_c_compiler_flag_group) - add_compiler_flag_group_for_language(C ${ARGN}) -endmacro() - -macro(add_cxx_compiler_flag_group) - add_compiler_flag_group_for_language(CXX ${ARGN}) -endmacro() - -macro(add_compiler_flag_group) - add_c_compiler_flag_group(${ARGN}) - add_cxx_compiler_flag_group(${ARGN}) -endmacro() - -macro(remove_compiler_flags_from_var TARGET) - foreach(f ${ARGN}) - string(REGEX REPLACE "${f}( |$)" "" ${TARGET} "${${TARGET}}") - endforeach() -endmacro() - -function(remove_c_compiler_flags) - remove_compiler_flags_from_var(CMAKE_C_FLAGS ${ARGN}) - set(CMAKE_C_FLAGS ${CMAKE_C_FLAGS} PARENT_SCOPE) - if(NOT "${CMAKE_BUILD_TYPE}" STREQUAL "") - string(TOUPPER "CMAKE_C_FLAGS_${CMAKE_BUILD_TYPE}" BUILD_TYPE_FLAGS) - remove_compiler_flags_from_var(${BUILD_TYPE_FLAGS} ${ARGN}) - set(${BUILD_TYPE_FLAGS} ${${BUILD_TYPE_FLAGS}} PARENT_SCOPE) - endif() -endfunction() - -function(remove_cxx_compiler_flags) - remove_compiler_flags_from_var(CMAKE_CXX_FLAGS ${ARGN}) - set(CMAKE_CXX_FLAGS ${CMAKE_CXX_FLAGS} PARENT_SCOPE) - if(NOT "${CMAKE_BUILD_TYPE}" STREQUAL "") - string(TOUPPER "CMAKE_CXX_FLAGS_${CMAKE_BUILD_TYPE}" BUILD_TYPE_FLAGS) - remove_compiler_flags_from_var(${BUILD_TYPE_FLAGS} ${ARGN}) - set(${BUILD_TYPE_FLAGS} ${${BUILD_TYPE_FLAGS}} PARENT_SCOPE) - endif() -endfunction() - -macro(remove_compiler_flags) - remove_c_compiler_flags(${ARGN}) - remove_cxx_compiler_flags(${ARGN}) -endmacro() - -function(add_compile_options_to_configuration_for_language CONFIGURATION LANGUAGE) - foreach(f ${ARGN}) - check_compiler_flags(FLAG_IS_SUPPORTED ${LANGUAGE} ${f}) - if(${FLAG_IS_SUPPORTED}) - add_compile_options($<$,$>:${f}>) - endif() - endforeach() -endfunction() - -macro(add_c_compile_options_to_configuration CONFIGURATION) - add_compile_options_to_configuration_for_language(${CONFIGURATION} C ${ARGN}) -endmacro() - -macro(add_cxx_compile_options_to_configuration CONFIGURATION) - add_compile_options_to_configuration_for_language(${CONFIGURATION} CXX ${ARGN}) -endmacro() - -macro(add_compile_options_to_configuration CONFIGURATION) - add_c_compile_options_to_configuration(${CONFIGURATION} ${ARGN}) - add_cxx_compile_options_to_configuration(${CONFIGURATION} ${ARGN}) -endmacro() - -function(add_compile_definitions_to_configuration CONFIGURATION) - foreach(f ${ARGN}) - add_compile_definitions($<$:${f}>) - endforeach() -endfunction() - -# Note that CMake does not provide any facility to check that a linker flag is -# supported by the compiler. -# However since CMake 3.2 introduced the CMP0056 policy, the -# CMAKE_EXE_LINKER_FLAGS variable is used by the try_compile function, so there -# is a workaround that allow for testing the linker flags. -function(check_linker_flag RESULT FLAG) - sanitize_c_cxx_definition("have_linker_" ${FLAG} FLAG_IS_SUPPORTED) - - # Some linkers (e.g.: Clang) will issue a -Wunused-command-line-argument - # warning when an unknown linker flag is set. - # Using -Werror will promote these warnings to errors so - # CHECK_CXX_COMPILER_FLAG() will return false, preventing the flag from - # being set. - set(WERROR_UNUSED_ARG -Werror=unused-command-line-argument) - check_compiler_flags(IS_WERROR_SUPPORTED CXX ${WERROR_UNUSED_ARG}) - if(${IS_WERROR_SUPPORTED}) - set(CMAKE_REQUIRED_FLAGS ${WERROR_UNUSED_ARG}) - endif() - - # Save the current linker flags - set(SAVE_CMAKE_EXE_LINKER_FLAGS ${CMAKE_EXE_LINKER_FLAGS}) - - # Append the flag under test to the linker flags - string(APPEND CMAKE_EXE_LINKER_FLAGS " ${FLAG}") - - # CHECK_CXX_COMPILER_FLAG calls CHECK_CXX_SOURCE_COMPILES which in turn - # calls try_compile, so it will check our flag - CHECK_CXX_COMPILER_FLAG("" ${FLAG_IS_SUPPORTED}) - - # Restore CMAKE_EXE_LINKER_FLAGS - set(CMAKE_EXE_LINKER_FLAGS ${SAVE_CMAKE_EXE_LINKER_FLAGS}) - - set(${RESULT} ${${FLAG_IS_SUPPORTED}} PARENT_SCOPE) -endfunction() - -function(add_linker_flags) - foreach(f ${ARGN}) - check_linker_flag(FLAG_IS_SUPPORTED ${f}) - - if(${FLAG_IS_SUPPORTED}) - add_link_options(${f}) - endif() - endforeach() -endfunction() - -macro(remove_optimization_level_from_var VAR) - string(REGEX REPLACE "-O[0-3gs]( |$)" "" ${VAR} "${${VAR}}") -endmacro() - -function(set_optimization_level_for_language LANGUAGE LEVEL) - if(NOT "${CMAKE_BUILD_TYPE}" STREQUAL "") - string(TOUPPER "CMAKE_${LANGUAGE}_FLAGS_${CMAKE_BUILD_TYPE}" BUILD_TYPE_FLAGS) - remove_optimization_level_from_var(${BUILD_TYPE_FLAGS}) - set(${BUILD_TYPE_FLAGS} "${${BUILD_TYPE_FLAGS}}" PARENT_SCOPE) - endif() - - remove_optimization_level_from_var(CMAKE_${LANGUAGE}_FLAGS) - set(CMAKE_${LANGUAGE}_FLAGS "${CMAKE_${LANGUAGE}_FLAGS} -O${LEVEL}" PARENT_SCOPE) -endfunction() - -macro(set_c_optimization_level LEVEL) - set_optimization_level_for_language(C ${LEVEL}) -endmacro() - -macro(set_cxx_optimization_level LEVEL) - set_optimization_level_for_language(CXX ${LEVEL}) -endmacro() diff --git a/src/secp256k1/cmake/modules/Coverage.cmake b/src/secp256k1/cmake/modules/Coverage.cmake deleted file mode 100644 index 4dce5e5f..00000000 --- a/src/secp256k1/cmake/modules/Coverage.cmake +++ /dev/null @@ -1,149 +0,0 @@ -# Copyright (c) 2020 The Bitcoin developers -############################################################################### -# Provide support for building test coverage reports. -# -# Dependencies: -# - c++filt -# - gcov -# - genhtml -# - lcov -# - python3 -# -# The basic workflow for building coverage report is as follow: -# 1/ Build the instrumented code by passing the --coverage flag to the -# compiler. For better accuracy there should be no optimization. -# 2/ Build the code, prior to run any test. Capture an initial state with -# `lcov` to get a baseline for the coverage information (function names, -# number of lines). This is achieved by running the `coverage-baseline` -# target. -# 3/ The coverage data is filtered to remove coverage info from code which is -# not of interest (such as 3rd party libs, generated files, etc.). -# 4/ Run the tests, and capture the generated coverage data with `lcov`. Again, -# the coverage data is filtered. After the test target has run, the -# coverage counters are reset in order to make each test run produce an -# independent output. -# 5/ Combine the test coverage data with the baseline data using `lcov` to -# produce the final coverage information for the test. -# 6/ Use `genhtml` to generate a HTML report from the combined coverage data. -# -# How to use: -# 1/ Enable coverage with the `enable_coverage()` function. The branch coverage -# can be enabled by setting the `ENABLE_BRANCH_COVERAGE` parameter to true. -# 2/ Call `exclude_from_coverage()` to exclude paths from the coverage report. -# 3/ Use `add_custom_target_coverage()` to enable coverage reporting for your -# test target. This generates a new `coverage-` target that will run -# the tests and create the HTML report in a `` directory. -############################################################################### - -include(SanitizeHelper) - -# Exclude directories (and subdirectories) from the coverage report. -function(exclude_from_coverage) - foreach(_dir ${ARGN}) - get_filename_component(_abspath "${_dir}" ABSOLUTE) - set_property(GLOBAL APPEND_STRING PROPERTY LCOV_FILTER_PATTERN " -p ${_abspath}") - endforeach() -endfunction() - -function(enable_coverage ENABLE_BRANCH_COVERAGE) - set(__ENABLE_COVERAGE ON CACHE INTERNAL "Coverage is enabled") - - # Required dependencies. - # c++filt is needed to demangle c++ function names at HTML generation time. - include(DoOrFail) - find_program_or_fail(LCOV_EXECUTABLE lcov) - find_program_or_fail(GCOV_EXECUTABLE gcov) - find_program_or_fail(GENHTML_EXECUTABLE genhtml) - find_program_or_fail(CXXFILT_EXECUTABLE c++filt) - find_package(Python3 COMPONENTS Interpreter REQUIRED) - set(__COVERAGE_PYTHON "${Python3_EXECUTABLE}" CACHE PATH "Path to the Python interpreter") - - get_property(_project_languages GLOBAL PROPERTY ENABLED_LANGUAGES) - set(COVERAGE_FLAG --coverage) - - foreach(_language ${_project_languages}) - sanitize_c_cxx_definition( - "supports_${_language}_" - ${COVERAGE_FLAG} - SUPPORTS_COVERAGE - ) - - set(_save_linker_flags ${CMAKE_EXE_LINKER_FLAGS}) - string(APPEND CMAKE_EXE_LINKER_FLAGS " ${COVERAGE_FLAG}") - - if("${_language}" STREQUAL "C") - include(CheckCCompilerFlag) - CHECK_C_COMPILER_FLAG(${COVERAGE_FLAG} ${SUPPORTS_COVERAGE}) - elseif("${_language}" STREQUAL "CXX") - include(CheckCXXCompilerFlag) - CHECK_CXX_COMPILER_FLAG(${COVERAGE_FLAG} ${SUPPORTS_COVERAGE}) - else() - message(WARNING "Coverage is not supported for the ${_language} language") - endif() - - set(CMAKE_EXE_LINKER_FLAGS ${_save_linker_flags}) - - if(NOT ${SUPPORTS_COVERAGE}) - message(FATAL_ERROR "The ${COVERAGE_FLAG} option is not supported by your ${_language} compiler") - endif() - - add_compile_options($<$:${COVERAGE_FLAG}>) - add_link_options($<$:${COVERAGE_FLAG}>) - endforeach() - - # Exclude some path by default, such as system headers and generated files. - exclude_from_coverage( - "${CMAKE_BINARY_DIR}" - "/usr/include" - "/usr/lib" - "/usr/lib64" - ) - - if(ENABLE_BRANCH_COVERAGE) - string(APPEND LCOV_OPTIONS "--rc lcov_branch_coverage=1") - set(LCOV_OPTIONS "${LCOV_OPTIONS}" CACHE STRING "Lcov options") - endif() -endfunction() - -function(add_custom_target_coverage TARGET) - # Coverage should have been enabled in order to create the new coverage-* - # targets. - if(NOT __ENABLE_COVERAGE) - return() - endif() - - get_property(LCOV_FILTER_PATTERN GLOBAL PROPERTY LCOV_FILTER_PATTERN) - - # Make sure we generate the base coverage data before building this target. - if(NOT TARGET coverage-baseline) - configure_file( - "${CMAKE_SOURCE_DIR}/cmake/templates/CoverageBaseline.sh.in" - "${CMAKE_BINARY_DIR}/CoverageBaseline.sh" - ) - - add_custom_command( - COMMENT "Generating baseline coverage info" - OUTPUT "${CMAKE_BINARY_DIR}/baseline.info" - COMMAND "${CMAKE_BINARY_DIR}/CoverageBaseline.sh" - VERBATIM USES_TERMINAL - ) - - add_custom_target(coverage-baseline - DEPENDS "${CMAKE_BINARY_DIR}/baseline.info" - ) - endif() - - sanitize_c_cxx_definition("" "${TARGET}" SANITIZED_TARGET) - - configure_file( - "${CMAKE_SOURCE_DIR}/cmake/templates/CoverageTest.sh.in" - "${CMAKE_BINARY_DIR}/Coverage-${TARGET}.sh" - ) - - add_custom_target(coverage-${TARGET} - DEPENDS coverage-baseline ${TARGET} - COMMENT "Generating ${TARGET} coverage report" - COMMAND "${CMAKE_BINARY_DIR}/Coverage-${TARGET}.sh" - VERBATIM USES_TERMINAL - ) -endfunction() diff --git a/src/secp256k1/cmake/modules/InstallationHelper.cmake b/src/secp256k1/cmake/modules/InstallationHelper.cmake deleted file mode 100644 index 75cb3a27..00000000 --- a/src/secp256k1/cmake/modules/InstallationHelper.cmake +++ /dev/null @@ -1,78 +0,0 @@ -# This file contains facilities for installing the files. - -include(GNUInstallDirs) - -function(install_target _target) - install( - TARGETS ${_target} - RUNTIME - DESTINATION "${CMAKE_INSTALL_BINDIR}" - COMPONENT ${PROJECT_NAME} - ${ARGN} - ARCHIVE - DESTINATION "${CMAKE_INSTALL_LIBDIR}" - COMPONENT ${PROJECT_NAME} - ${ARGN} - LIBRARY - DESTINATION "${CMAKE_INSTALL_LIBDIR}" - COMPONENT ${PROJECT_NAME} - ${ARGN} - PUBLIC_HEADER - DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}" - COMPONENT ${PROJECT_NAME} - ${ARGN} - ) -endfunction() - -function(install_shared_library NAME) - cmake_parse_arguments(ARG - "" - "" - "PUBLIC_HEADER" - ${ARGN} - ) - - set(_sources ${ARG_UNPARSED_ARGUMENTS}) - - get_target_property(_target_type ${NAME} TYPE) - if(_target_type STREQUAL "SHARED_LIBRARY") - set(_shared_name "${NAME}") - target_sources(${NAME} PRIVATE ${_sources}) - else() - set(_shared_name "${NAME}-shared") - add_library(${_shared_name} SHARED ${_sources}) - target_link_libraries(${_shared_name} ${NAME}) - endif() - - if(ARG_PUBLIC_HEADER) - set_property(TARGET ${_shared_name} PROPERTY PUBLIC_HEADER ${ARG_PUBLIC_HEADER}) - endif() - - if(${CMAKE_SYSTEM_NAME} MATCHES "Linux") - # FIXME For compatibility reason with autotools, the version is set - # to 0.0.0 (major being actually 0). This is obviously wrong and the - # version of the library should reflect the version of the release. - # On platforms other than linux, only the major version (0) is used. - # Replace the VERSION line with the statement below to set the - # correct version: - # set(_properties VERSION "${CMAKE_PROJECT_VERSION}") - list(APPEND _properties VERSION "${CMAKE_PROJECT_VERSION_MAJOR}.0.0") - else() - list(APPEND _properties VERSION "${CMAKE_PROJECT_VERSION_MAJOR}") - endif() - - # For autotools compatibility, rename the library to ${OUTPUT_NAME}-0.dll - if(${CMAKE_SYSTEM_NAME} MATCHES "Windows") - list(APPEND _properties OUTPUT_NAME "${NAME}-${CMAKE_PROJECT_VERSION_MAJOR}") - # DLL_EXPORT is defined by libtool, and is expected by some sources. - target_compile_definitions(${_shared_name} PRIVATE DLL_EXPORT) - else() - list(APPEND _properties OUTPUT_NAME "${NAME}") - endif() - - list(APPEND _properties SOVERSION "${CMAKE_PROJECT_VERSION_MAJOR}") - - set_target_properties(${_shared_name} PROPERTIES ${_properties}) - - install_target(${_shared_name}) -endfunction() diff --git a/src/secp256k1/cmake/modules/SanitizeHelper.cmake b/src/secp256k1/cmake/modules/SanitizeHelper.cmake deleted file mode 100644 index e01b8e41..00000000 --- a/src/secp256k1/cmake/modules/SanitizeHelper.cmake +++ /dev/null @@ -1,39 +0,0 @@ -macro(_sanitize REPLACEMENT_REGEX REPLACEMENT_STRING RAW_VAR SANITIZED_VAR) - string(REGEX REPLACE - "${REPLACEMENT_REGEX}" "${REPLACEMENT_STRING}" ${SANITIZED_VAR} "${RAW_VAR}") -endmacro() - -# Sanitize a variable according to cmake rules -# https://cmake.org/cmake/help/v3.10/manual/cmake-language.7.html#variable-references -# The NUL and ';' characters cannot be escaped in this context (see CMP0053) -macro(sanitize_variable PREFIX RAW_VAR SANITIZED_VAR) - # Escaping characters not in the supported list (see documentation) will - # work as long as the variable is not cached. - - # Variable caching is achieved by writing the variable to a CMakeCache.txt - # file, where the escaped chars get interpreted. The issue occurs when the - # cache is read, as the chars are not getting escaped again and cause the - # read to fail. - - # The safe way to sanitize a variable is not to escape these chars, but - # rather to replace them with a known supported one, here '_' is chosen. - # Not: this could lead to name collision in some rare case. These case can - # be handled manually by using a different prefix. - _sanitize("([^a-zA-Z0-9/_.+-])" "_" "${PREFIX}${RAW_VAR}" ${SANITIZED_VAR}) -endmacro() - -# Sanitize a variable intended to be used in a C/CXX #define statement. -# This is useful when using CHECK__COMPILER_FLAG or similar functions. -macro(sanitize_c_cxx_definition PREFIX RAW_VAR SANITIZED_VAR) - # Only allow for alphanum chars plus underscore. This will prevent the - # compiler to issue a warning like: - # `ISO C99 requires whitespace after the macro name [-Wc99-extensions]` - _sanitize("([^a-zA-Z0-9_])" "_" "${PREFIX}${RAW_VAR}" ${SANITIZED_VAR}) -endmacro() - -# Sanitize a variable intended to be used as a cmake target name. -macro(sanitize_target_name PREFIX RAW_VAR SANITIZED_VAR) - # Target names may contain upper and lower case letters, numbers, - # underscore, dot, plus and minus. - _sanitize("([^a-zA-Z0-9_.+-])" "-" "${PREFIX}${RAW_VAR}" ${SANITIZED_VAR}) -endmacro() diff --git a/src/secp256k1/cmake/modules/TestSuite.cmake b/src/secp256k1/cmake/modules/TestSuite.cmake deleted file mode 100644 index 19c4e300..00000000 --- a/src/secp256k1/cmake/modules/TestSuite.cmake +++ /dev/null @@ -1,165 +0,0 @@ -# Allow to easily build test suites - -macro(add_test_environment VARIABLE VALUE) - set_property(GLOBAL APPEND PROPERTY TEST_ENVIRONMENT "${VARIABLE}=${VALUE}") -endmacro() - -function(add_test_custom_target TARGET) - cmake_parse_arguments(ARG "" "" "CUSTOM_TARGET_ARGS;TEST_COMMAND" ${ARGN}) - - get_property(TEST_ENVIRONMENT GLOBAL PROPERTY TEST_ENVIRONMENT) - - add_custom_target(${TARGET} - ${ARG_CUSTOM_TARGET_ARGS} - COMMAND ${CMAKE_COMMAND} -E env ${TEST_ENVIRONMENT} ${ARG_TEST_COMMAND} - ) -endfunction() - -# Define a new target property to hold the list of tests associated with a test -# suite. This property is named UNIT_TESTS to avoid confusion with the directory -# level property TESTS. -define_property(TARGET - PROPERTY UNIT_TESTS - BRIEF_DOCS "List of tests" - FULL_DOCS "A list of the tests associated with a test suite" -) - -macro(get_target_from_suite SUITE TARGET) - set(${TARGET} "check-${SUITE}") -endmacro() - -include(Coverage) - -function(create_test_suite_with_parent_targets NAME) - get_target_from_suite(${NAME} TARGET) - - add_custom_target(${TARGET} - COMMENT "Running ${NAME} test suite" - COMMAND cmake -E echo "PASSED: ${NAME} test suite" - ) - - foreach(PARENT_TARGET ${ARGN}) - if(TARGET ${PARENT_TARGET}) - add_dependencies(${PARENT_TARGET} ${TARGET}) - endif() - endforeach() - - add_custom_target_coverage(${TARGET}) -endfunction() - -macro(create_test_suite NAME) - create_test_suite_with_parent_targets(${NAME} check-all check-extended) -endmacro() - -function(add_test_runner SUITE NAME EXECUTABLE) - get_target_from_suite(${SUITE} SUITE_TARGET) - set(TARGET "${SUITE_TARGET}-${NAME}") - - add_test_custom_target(${TARGET} - TEST_COMMAND - "${CMAKE_SOURCE_DIR}/cmake/utils/test_wrapper.sh" - "${SUITE}-${NAME}.log" - ${CMAKE_CROSSCOMPILING_EMULATOR} "$" ${ARGN} - CUSTOM_TARGET_ARGS - COMMENT "${SUITE}: testing ${NAME}" - DEPENDS ${EXECUTABLE} - VERBATIM - ) - add_dependencies(${SUITE_TARGET} ${TARGET}) -endfunction() - -function(add_lint_runner SUITE NAME LINTER_SCRIPT) - get_target_from_suite(${SUITE} SUITE_TARGET) - set(TARGET "${SUITE_TARGET}-${NAME}") - add_test_custom_target(${TARGET} - TEST_COMMAND - "${CMAKE_SOURCE_DIR}/cmake/utils/test_wrapper.sh" - "${CMAKE_CURRENT_BINARY_DIR}/${NAME}.log" - "${CMAKE_CURRENT_LIST_DIR}/${LINTER_SCRIPT}" ${ARGN} - CUSTOM_TARGET_ARGS - COMMENT "${SUITE}: testing ${NAME}" - DEPENDS ${LINTER_SCRIPT} - WORKING_DIRECTORY ${CMAKE_SOURCE_DIR} - VERBATIM - ) - add_dependencies(${SUITE_TARGET} ${TARGET}) -endfunction() - -function(add_test_to_suite SUITE NAME) - add_executable(${NAME} EXCLUDE_FROM_ALL ${ARGN}) - add_test_runner(${SUITE} ${NAME} ${NAME}) - - get_target_from_suite(${SUITE} TARGET) - set_property( - TARGET ${TARGET} - APPEND PROPERTY UNIT_TESTS ${NAME} - ) -endfunction(add_test_to_suite) - -function(add_boost_unit_tests_to_suite SUITE NAME) - cmake_parse_arguments(ARG - "" - "" - "TESTS" - ${ARGN} - ) - - get_target_from_suite(${SUITE} SUITE_TARGET) - add_executable(${NAME} EXCLUDE_FROM_ALL ${ARG_UNPARSED_ARGUMENTS}) - add_dependencies("${SUITE_TARGET}" ${NAME}) - - foreach(_test_source ${ARG_TESTS}) - target_sources(${NAME} PRIVATE "${_test_source}") - get_filename_component(_test_name "${_test_source}" NAME_WE) - add_test_runner( - ${SUITE} - ${_test_name} - ${NAME} -t "${_test_name}" -l test_suite - ) - set_property( - TARGET ${SUITE_TARGET} - APPEND PROPERTY UNIT_TESTS ${_test_name} - ) - endforeach() - - find_package(Boost 1.58 REQUIRED unit_test_framework) - target_link_libraries(${NAME} Boost::unit_test_framework) - - # We need to detect if the BOOST_TEST_DYN_LINK flag is required - include(CheckCXXSourceCompiles) - set(CMAKE_REQUIRED_LIBRARIES Boost::unit_test_framework) - - check_cxx_source_compiles(" - #define BOOST_TEST_DYN_LINK - #define BOOST_TEST_MAIN - #include - " BOOST_REQUIRES_TEST_DYN_LINK) - - if(BOOST_REQUIRES_TEST_DYN_LINK) - target_compile_definitions(${NAME} PRIVATE BOOST_TEST_DYN_LINK) - endif() -endfunction(add_boost_unit_tests_to_suite) - -function(add_lint_script_tests_to_suite SUITE) - cmake_parse_arguments(ARG - "" - "" - "TESTS" - ${ARGN} - ) - - get_target_from_suite(${SUITE} SUITE_TARGET) - - foreach(_test_source ${ARG_TESTS}) - get_filename_component(_test_name "${_test_source}" NAME_WE) - add_lint_runner( - ${SUITE} - ${_test_name} - ${_test_source} - ) - set_property( - TARGET ${SUITE_TARGET} - APPEND PROPERTY UNIT_TESTS ${_test_name} - ) - endforeach() -endfunction(add_lint_script_tests_to_suite) diff --git a/src/secp256k1/cmake/source_arm32.s b/src/secp256k1/cmake/source_arm32.s new file mode 100644 index 00000000..d3d93470 --- /dev/null +++ b/src/secp256k1/cmake/source_arm32.s @@ -0,0 +1,9 @@ +.syntax unified +.eabi_attribute 24, 1 +.eabi_attribute 25, 1 +.text +.global main +main: + ldr r0, =0x002A + mov r7, #1 + swi 0 diff --git a/src/secp256k1/cmake/x86_64-w64-mingw32.toolchain.cmake b/src/secp256k1/cmake/x86_64-w64-mingw32.toolchain.cmake new file mode 100644 index 00000000..96119b72 --- /dev/null +++ b/src/secp256k1/cmake/x86_64-w64-mingw32.toolchain.cmake @@ -0,0 +1,3 @@ +set(CMAKE_SYSTEM_NAME Windows) +set(CMAKE_SYSTEM_PROCESSOR x86_64) +set(CMAKE_C_COMPILER x86_64-w64-mingw32-gcc) diff --git a/src/secp256k1/configure.ac b/src/secp256k1/configure.ac deleted file mode 100644 index 17045748..00000000 --- a/src/secp256k1/configure.ac +++ /dev/null @@ -1,582 +0,0 @@ -AC_PREREQ([2.60]) -AC_INIT([libsecp256k1],[0.1]) -AC_CONFIG_AUX_DIR([build-aux]) -AC_CONFIG_MACRO_DIR([build-aux/m4]) -AC_CANONICAL_HOST -AH_TOP([#ifndef LIBSECP256K1_CONFIG_H]) -AH_TOP([#define LIBSECP256K1_CONFIG_H]) -AH_BOTTOM([#endif /*LIBSECP256K1_CONFIG_H*/]) -AM_INIT_AUTOMAKE([foreign subdir-objects]) - -# Set -g if CFLAGS are not already set, which matches the default autoconf -# behavior (see PROG_CC in the Autoconf manual) with the exception that we don't -# set -O2 here because we set it in any case (see further down). -: ${CFLAGS="-g"} -LT_INIT - -dnl make the compilation flags quiet unless V=1 is used -m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])]) - -PKG_PROG_PKG_CONFIG - -AC_PATH_TOOL(AR, ar) -AC_PATH_TOOL(RANLIB, ranlib) -AC_PATH_TOOL(STRIP, strip) -AX_PROG_CC_FOR_BUILD - -AM_PROG_CC_C_O - -AC_PROG_CC_C89 -if test x"$ac_cv_prog_cc_c89" = x"no"; then - AC_MSG_ERROR([c89 compiler support required]) -fi -AM_PROG_AS - -case $host_os in - *darwin*) - if test x$cross_compiling != xyes; then - AC_PATH_PROG([BREW],brew,) - if test x$BREW != x; then - dnl These Homebrew packages may be keg-only, meaning that they won't be found - dnl in expected paths because they may conflict with system files. Ask - dnl Homebrew where each one is located, then adjust paths accordingly. - - gmp_prefix=`$BREW --prefix gmp 2>/dev/null` - if test x$gmp_prefix != x; then - GMP_CPPFLAGS="-I$gmp_prefix/include" - GMP_LIBS="-L$gmp_prefix/lib" - fi - else - AC_PATH_PROG([PORT],port,) - dnl if homebrew isn't installed and macports is, add the macports default paths - dnl as a last resort. - if test x$PORT != x; then - CPPFLAGS="$CPPFLAGS -isystem /opt/local/include" - LDFLAGS="$LDFLAGS -L/opt/local/lib" - fi - fi - fi - ;; -esac - -CFLAGS="-W $CFLAGS" - -warn_CFLAGS="-std=c89 -pedantic -Wall -Wextra -Wcast-align -Wnested-externs -Wshadow -Wstrict-prototypes -Wno-unused-function -Wno-long-long -Wno-overlength-strings" -saved_CFLAGS="$CFLAGS" -CFLAGS="$warn_CFLAGS $CFLAGS" -AC_MSG_CHECKING([if ${CC} supports ${warn_CFLAGS}]) -AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])], - [ AC_MSG_RESULT([yes]) ], - [ AC_MSG_RESULT([no]) - CFLAGS="$saved_CFLAGS" - ]) - -saved_CFLAGS="$CFLAGS" -CFLAGS="-fvisibility=hidden $CFLAGS" -AC_MSG_CHECKING([if ${CC} supports -fvisibility=hidden]) -AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])], - [ AC_MSG_RESULT([yes]) ], - [ AC_MSG_RESULT([no]) - CFLAGS="$saved_CFLAGS" - ]) - -AC_ARG_ENABLE(benchmark, - AS_HELP_STRING([--enable-benchmark],[compile benchmark [default=yes]]), - [use_benchmark=$enableval], - [use_benchmark=yes]) - -AC_ARG_ENABLE(coverage, - AS_HELP_STRING([--enable-coverage],[enable compiler flags to support kcov coverage analysis [default=no]]), - [enable_coverage=$enableval], - [enable_coverage=no]) - -AC_ARG_ENABLE(tests, - AS_HELP_STRING([--enable-tests],[compile tests [default=yes]]), - [use_tests=$enableval], - [use_tests=yes]) - -AC_ARG_ENABLE(experimental, - AS_HELP_STRING([--enable-experimental],[allow experimental configure options [default=no]]), - [use_experimental=$enableval], - [use_experimental=no]) - -AC_ARG_ENABLE(exhaustive_tests, - AS_HELP_STRING([--enable-exhaustive-tests],[compile exhaustive tests [default=yes]]), - [use_exhaustive_tests=$enableval], - [use_exhaustive_tests=yes]) - -AC_ARG_ENABLE(endomorphism, - AS_HELP_STRING([--enable-endomorphism],[enable endomorphism [default=no]]), - [use_endomorphism=$enableval], - [use_endomorphism=no]) - -AC_ARG_ENABLE(ecmult_static_precomputation, - AS_HELP_STRING([--enable-ecmult-static-precomputation],[enable precomputed ecmult table for signing [default=auto]]), - [use_ecmult_static_precomputation=$enableval], - [use_ecmult_static_precomputation=auto]) - -AC_ARG_ENABLE(module_ecdh, - AS_HELP_STRING([--enable-module-ecdh],[enable ECDH shared secret computation (experimental)]), - [enable_module_ecdh=$enableval], - [enable_module_ecdh=no]) - -AC_ARG_ENABLE(module_multiset, - AS_HELP_STRING([--enable-module-multiset],[enable multiset operations (experimental)]), - [enable_module_multiset=$enableval], - [enable_module_multiset=no]) - -AC_ARG_ENABLE(module_recovery, - AS_HELP_STRING([--enable-module-recovery],[enable ECDSA pubkey recovery module [default=no]]), - [enable_module_recovery=$enableval], - [enable_module_recovery=no]) - -AC_ARG_ENABLE(module_schnorr, - AS_HELP_STRING([--enable-module-schnorr],[enable Schnorr signatures module [default=yes]]), - [enable_module_schnorr=$enableval], - [enable_module_schnorr=yes]) - -AC_ARG_ENABLE(external_default_callbacks, - AS_HELP_STRING([--enable-external-default-callbacks],[enable external default callback functions [default=no]]), - [use_external_default_callbacks=$enableval], - [use_external_default_callbacks=no]) - -AC_ARG_ENABLE(jni, - AS_HELP_STRING([--enable-jni],[enable libsecp256k1_jni [default=no]]), - [use_jni=$enableval], - [use_jni=no]) - -AC_ARG_WITH([field], [AS_HELP_STRING([--with-field=64bit|32bit|auto], -[finite field implementation to use [default=auto]])],[req_field=$withval], [req_field=auto]) - -AC_ARG_WITH([bignum], [AS_HELP_STRING([--with-bignum=gmp|no|auto], -[bignum implementation to use [default=auto]])],[req_bignum=$withval], [req_bignum=auto]) - -AC_ARG_WITH([scalar], [AS_HELP_STRING([--with-scalar=64bit|32bit|auto], -[scalar implementation to use [default=auto]])],[req_scalar=$withval], [req_scalar=auto]) - -AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm|no|auto], -[assembly optimizations to use (experimental: arm) [default=auto]])],[req_asm=$withval], [req_asm=auto]) - -AC_ARG_WITH([ecmult-window], [AS_HELP_STRING([--with-ecmult-window=SIZE|auto], -[window size for ecmult precomputation for verification, specified as integer in range [2..24].] -[Larger values result in possibly better performance at the cost of an exponentially larger precomputed table.] -[The table will store 2^(SIZE-2) * 64 bytes of data but can be larger in memory due to platform-specific padding and alignment.] -[If the endomorphism optimization is enabled, two tables of this size are used instead of only one.] -["auto" is a reasonable setting for desktop machines (currently 15). [default=auto]] -)], -[req_ecmult_window=$withval], [req_ecmult_window=auto]) - -AC_ARG_WITH([ecmult-gen-precision], [AS_HELP_STRING([--with-ecmult-gen-precision=2|4|8|auto], -[Precision bits to tune the precomputed table size for signing.] -[The size of the table is 32kB for 2 bits, 64kB for 4 bits, 512kB for 8 bits of precision.] -[A larger table size usually results in possible faster signing.] -["auto" is a reasonable setting for desktop machines (currently 4). [default=auto]] -)], -[req_ecmult_gen_precision=$withval], [req_ecmult_gen_precision=auto]) - -AC_CHECK_TYPES([__int128]) - -if test x"$enable_coverage" = x"yes"; then - AC_DEFINE(COVERAGE, 1, [Define this symbol to compile out all VERIFY code]) - CFLAGS="-O0 --coverage $CFLAGS" - LDFLAGS="--coverage $LDFLAGS" -else - CFLAGS="-O2 $CFLAGS" -fi - -if test x"$use_ecmult_static_precomputation" != x"no"; then - # Temporarily switch to an environment for the native compiler - save_cross_compiling=$cross_compiling - cross_compiling=no - SAVE_CC="$CC" - CC="$CC_FOR_BUILD" - SAVE_CFLAGS="$CFLAGS" - CFLAGS="$CFLAGS_FOR_BUILD" - SAVE_CPPFLAGS="$CPPFLAGS" - CPPFLAGS="$CPPFLAGS_FOR_BUILD" - SAVE_LDFLAGS="$LDFLAGS" - LDFLAGS="$LDFLAGS_FOR_BUILD" - - warn_CFLAGS_FOR_BUILD="-Wall -Wextra -Wno-unused-function" - saved_CFLAGS="$CFLAGS" - CFLAGS="$warn_CFLAGS_FOR_BUILD $CFLAGS" - AC_MSG_CHECKING([if native ${CC_FOR_BUILD} supports ${warn_CFLAGS_FOR_BUILD}]) - AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])], - [ AC_MSG_RESULT([yes]) ], - [ AC_MSG_RESULT([no]) - CFLAGS="$saved_CFLAGS" - ]) - - AC_MSG_CHECKING([for working native compiler: ${CC_FOR_BUILD}]) - AC_RUN_IFELSE( - [AC_LANG_PROGRAM([], [])], - [working_native_cc=yes], - [working_native_cc=no],[dnl]) - - CFLAGS_FOR_BUILD="$CFLAGS" - - # Restore the environment - cross_compiling=$save_cross_compiling - CC="$SAVE_CC" - CFLAGS="$SAVE_CFLAGS" - CPPFLAGS="$SAVE_CPPFLAGS" - LDFLAGS="$SAVE_LDFLAGS" - - if test x"$working_native_cc" = x"no"; then - AC_MSG_RESULT([no]) - set_precomp=no - m4_define([please_set_for_build], [Please set CC_FOR_BUILD, CFLAGS_FOR_BUILD, CPPFLAGS_FOR_BUILD, and/or LDFLAGS_FOR_BUILD.]) - if test x"$use_ecmult_static_precomputation" = x"yes"; then - AC_MSG_ERROR([native compiler ${CC_FOR_BUILD} does not produce working binaries. please_set_for_build]) - else - AC_MSG_WARN([Disabling statically generated ecmult table because the native compiler ${CC_FOR_BUILD} does not produce working binaries. please_set_for_build]) - fi - else - AC_MSG_RESULT([yes]) - set_precomp=yes - fi -else - set_precomp=no -fi - -if test x"$req_asm" = x"auto"; then - SECP_64BIT_ASM_CHECK - if test x"$has_64bit_asm" = x"yes"; then - set_asm=x86_64 - fi - if test x"$set_asm" = x; then - set_asm=no - fi -else - set_asm=$req_asm - case $set_asm in - x86_64) - SECP_64BIT_ASM_CHECK - if test x"$has_64bit_asm" != x"yes"; then - AC_MSG_ERROR([x86_64 assembly optimization requested but not available]) - fi - ;; - arm) - ;; - no) - ;; - *) - AC_MSG_ERROR([invalid assembly optimization selection]) - ;; - esac -fi - -if test x"$req_field" = x"auto"; then - if test x"set_asm" = x"x86_64"; then - set_field=64bit - fi - if test x"$set_field" = x; then - SECP_INT128_CHECK - if test x"$has_int128" = x"yes"; then - set_field=64bit - fi - fi - if test x"$set_field" = x; then - set_field=32bit - fi -else - set_field=$req_field - case $set_field in - 64bit) - if test x"$set_asm" != x"x86_64"; then - SECP_INT128_CHECK - if test x"$has_int128" != x"yes"; then - AC_MSG_ERROR([64bit field explicitly requested but neither __int128 support or x86_64 assembly available]) - fi - fi - ;; - 32bit) - ;; - *) - AC_MSG_ERROR([invalid field implementation selection]) - ;; - esac -fi - -if test x"$req_scalar" = x"auto"; then - SECP_INT128_CHECK - if test x"$has_int128" = x"yes"; then - set_scalar=64bit - fi - if test x"$set_scalar" = x; then - set_scalar=32bit - fi -else - set_scalar=$req_scalar - case $set_scalar in - 64bit) - SECP_INT128_CHECK - if test x"$has_int128" != x"yes"; then - AC_MSG_ERROR([64bit scalar explicitly requested but __int128 support not available]) - fi - ;; - 32bit) - ;; - *) - AC_MSG_ERROR([invalid scalar implementation selected]) - ;; - esac -fi - -if test x"$req_bignum" = x"auto"; then - SECP_GMP_CHECK - if test x"$has_gmp" = x"yes"; then - set_bignum=gmp - fi - - if test x"$set_bignum" = x; then - set_bignum=no - fi -else - set_bignum=$req_bignum - case $set_bignum in - gmp) - SECP_GMP_CHECK - if test x"$has_gmp" != x"yes"; then - AC_MSG_ERROR([gmp bignum explicitly requested but libgmp not available]) - fi - ;; - no) - ;; - *) - AC_MSG_ERROR([invalid bignum implementation selection]) - ;; - esac -fi - -# select assembly optimization -use_external_asm=no - -case $set_asm in -x86_64) - AC_DEFINE(USE_ASM_X86_64, 1, [Define this symbol to enable x86_64 assembly optimizations]) - ;; -arm) - use_external_asm=yes - ;; -no) - ;; -*) - AC_MSG_ERROR([invalid assembly optimizations]) - ;; -esac - -# select field implementation -case $set_field in -64bit) - AC_DEFINE(USE_FIELD_5X52, 1, [Define this symbol to use the FIELD_5X52 implementation]) - ;; -32bit) - AC_DEFINE(USE_FIELD_10X26, 1, [Define this symbol to use the FIELD_10X26 implementation]) - ;; -*) - AC_MSG_ERROR([invalid field implementation]) - ;; -esac - -# select bignum implementation -case $set_bignum in -gmp) - AC_DEFINE(HAVE_LIBGMP, 1, [Define this symbol if libgmp is installed]) - AC_DEFINE(USE_NUM_GMP, 1, [Define this symbol to use the gmp implementation for num]) - AC_DEFINE(USE_FIELD_INV_NUM, 1, [Define this symbol to use the num-based field inverse implementation]) - AC_DEFINE(USE_SCALAR_INV_NUM, 1, [Define this symbol to use the num-based scalar inverse implementation]) - ;; -no) - AC_DEFINE(USE_NUM_NONE, 1, [Define this symbol to use no num implementation]) - AC_DEFINE(USE_FIELD_INV_BUILTIN, 1, [Define this symbol to use the native field inverse implementation]) - AC_DEFINE(USE_SCALAR_INV_BUILTIN, 1, [Define this symbol to use the native scalar inverse implementation]) - ;; -*) - AC_MSG_ERROR([invalid bignum implementation]) - ;; -esac - -#select scalar implementation -case $set_scalar in -64bit) - AC_DEFINE(USE_SCALAR_4X64, 1, [Define this symbol to use the 4x64 scalar implementation]) - ;; -32bit) - AC_DEFINE(USE_SCALAR_8X32, 1, [Define this symbol to use the 8x32 scalar implementation]) - ;; -*) - AC_MSG_ERROR([invalid scalar implementation]) - ;; -esac - -#set ecmult window size -if test x"$req_ecmult_window" = x"auto"; then - set_ecmult_window=15 -else - set_ecmult_window=$req_ecmult_window -fi - -error_window_size=['window size for ecmult precomputation not an integer in range [2..24] or "auto"'] -case $set_ecmult_window in -''|*[[!0-9]]*) - # no valid integer - AC_MSG_ERROR($error_window_size) - ;; -*) - if test "$set_ecmult_window" -lt 2 -o "$set_ecmult_window" -gt 24 ; then - # not in range - AC_MSG_ERROR($error_window_size) - fi - AC_DEFINE_UNQUOTED(ECMULT_WINDOW_SIZE, $set_ecmult_window, [Set window size for ecmult precomputation]) - ;; -esac - -#set ecmult gen precision -if test x"$req_ecmult_gen_precision" = x"auto"; then - set_ecmult_gen_precision=4 -else - set_ecmult_gen_precision=$req_ecmult_gen_precision -fi - -case $set_ecmult_gen_precision in -2|4|8) - AC_DEFINE_UNQUOTED(ECMULT_GEN_PREC_BITS, $set_ecmult_gen_precision, [Set ecmult gen precision bits]) - ;; -*) - AC_MSG_ERROR(['ecmult gen precision not 2, 4, 8 or "auto"']) - ;; -esac - -if test x"$use_jni" != x"no"; then - AX_JNI_INCLUDE_DIR - have_jni_dependencies=yes - if test x"$enable_module_ecdh" = x"no"; then - have_jni_dependencies=no - fi - if test "x$JNI_INCLUDE_DIRS" = "x"; then - have_jni_dependencies=no - fi - if test "x$have_jni_dependencies" = "xno"; then - if test x"$use_jni" = x"yes"; then - AC_MSG_ERROR([jni support explicitly requested but headers/dependencies were not found. Enable ECDH and try again.]) - fi - AC_MSG_WARN([jni headers/dependencies not found. jni support disabled]) - use_jni=no - else - use_jni=yes - for JNI_INCLUDE_DIR in $JNI_INCLUDE_DIRS; do - JNI_INCLUDES="$JNI_INCLUDES -I$JNI_INCLUDE_DIR" - done - fi -fi - -if test x"$set_bignum" = x"gmp"; then - SECP_LIBS="$SECP_LIBS $GMP_LIBS" - SECP_INCLUDES="$SECP_INCLUDES $GMP_CPPFLAGS" -fi - -if test x"$use_endomorphism" = x"yes"; then - AC_DEFINE(USE_ENDOMORPHISM, 1, [Define this symbol to use endomorphism optimization]) -fi - -if test x"$set_precomp" = x"yes"; then - AC_DEFINE(USE_ECMULT_STATIC_PRECOMPUTATION, 1, [Define this symbol to use a statically generated ecmult table]) -fi - -if test x"$enable_module_ecdh" = x"yes"; then - AC_DEFINE(ENABLE_MODULE_ECDH, 1, [Define this symbol to enable the ECDH module]) -fi - -if test x"$enable_module_multiset" = x"yes"; then - AC_DEFINE(ENABLE_MODULE_MULTISET, 1, [Define this symbol to enable the multiset module]) -fi - -if test x"$enable_module_recovery" = x"yes"; then - AC_DEFINE(ENABLE_MODULE_RECOVERY, 1, [Define this symbol to enable the ECDSA pubkey recovery module]) -fi - -if test x"$enable_module_schnorr" = x"yes"; then - AC_DEFINE(ENABLE_MODULE_SCHNORR, 1, [Define this symbol to enable the Schnorr signature module]) -fi - -AC_C_BIGENDIAN() - -if test x"$use_external_asm" = x"yes"; then - AC_DEFINE(USE_EXTERNAL_ASM, 1, [Define this symbol if an external (non-inline) assembly implementation is used]) -fi - -if test x"$use_external_default_callbacks" = x"yes"; then - AC_DEFINE(USE_EXTERNAL_DEFAULT_CALLBACKS, 1, [Define this symbol if an external implementation of the default callbacks is used]) -fi - -if test x"$enable_experimental" = x"yes"; then - AC_MSG_NOTICE([******]) - AC_MSG_NOTICE([WARNING: experimental build]) - AC_MSG_NOTICE([Experimental features do not have stable APIs or properties, and may not be safe for production use.]) - AC_MSG_NOTICE([Building ECDH module: $enable_module_ecdh]) - AC_MSG_NOTICE([******]) -else - if test x"$enable_module_ecdh" = x"yes"; then - AC_MSG_ERROR([ECDH module is experimental. Use --enable-experimental to allow.]) - fi - if test x"$enable_module_multiset" = x"yes"; then - AC_MSG_ERROR([Multiset module is experimental. Use --enable-experimental to allow.]) - fi - if test x"$set_asm" = x"arm"; then - AC_MSG_ERROR([ARM assembly optimization is experimental. Use --enable-experimental to allow.]) - fi -fi - -AC_CONFIG_HEADERS([src/libsecp256k1-config.h]) -AC_CONFIG_FILES([Makefile libsecp256k1.pc]) -AC_SUBST(JNI_INCLUDES) -AC_SUBST(SECP_INCLUDES) -AC_SUBST(SECP_LIBS) -AC_SUBST(SECP_TEST_LIBS) -AC_SUBST(SECP_TEST_INCLUDES) -AM_CONDITIONAL([ENABLE_COVERAGE], [test x"$enable_coverage" = x"yes"]) -AM_CONDITIONAL([USE_TESTS], [test x"$use_tests" != x"no"]) -AM_CONDITIONAL([USE_EXHAUSTIVE_TESTS], [test x"$use_exhaustive_tests" != x"no"]) -AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" = x"yes"]) -AM_CONDITIONAL([USE_ECMULT_STATIC_PRECOMPUTATION], [test x"$set_precomp" = x"yes"]) -AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"]) -AM_CONDITIONAL([ENABLE_MODULE_MULTISET], [test x"$enable_module_multiset" = x"yes"]) -AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"]) -AM_CONDITIONAL([ENABLE_MODULE_SCHNORR], [test x"$enable_module_schnorr" = x"yes"]) -AM_CONDITIONAL([USE_JNI], [test x"$use_jni" = x"yes"]) -AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$use_external_asm" = x"yes"]) -AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm"]) - -dnl make sure nothing new is exported so that we don't break the cache -PKGCONFIG_PATH_TEMP="$PKG_CONFIG_PATH" -unset PKG_CONFIG_PATH -PKG_CONFIG_PATH="$PKGCONFIG_PATH_TEMP" - -AC_OUTPUT - -echo -echo "Build Options:" -echo " with endomorphism = $use_endomorphism" -echo " with ecmult precomp = $set_precomp" -echo " with external callbacks = $use_external_default_callbacks" -echo " with jni = $use_jni" -echo " with benchmarks = $use_benchmark" -echo " with coverage = $enable_coverage" -echo " module ecdh = $enable_module_ecdh" -echo " module recovery = $enable_module_recovery" -echo " module multiset = $enable_module_multiset" -echo " module schnorr = $enable_module_schnorr" -echo -echo " asm = $set_asm" -echo " bignum = $set_bignum" -echo " field = $set_field" -echo " scalar = $set_scalar" -echo " ecmult window size = $set_ecmult_window" -echo " ecmult gen prec. bits = $set_ecmult_gen_precision" -echo -echo " CC = $CC" -echo " CFLAGS = $CFLAGS" -echo " CPPFLAGS = $CPPFLAGS" -echo " LDFLAGS = $LDFLAGS" -echo diff --git a/src/secp256k1/contrib/lax_der_parsing.c b/src/secp256k1/contrib/lax_der_parsing.c deleted file mode 100644 index e177a056..00000000 --- a/src/secp256k1/contrib/lax_der_parsing.c +++ /dev/null @@ -1,150 +0,0 @@ -/********************************************************************** - * Copyright (c) 2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#include -#include - -#include "lax_der_parsing.h" - -int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input, size_t inputlen) { - size_t rpos, rlen, spos, slen; - size_t pos = 0; - size_t lenbyte; - unsigned char tmpsig[64] = {0}; - int overflow = 0; - - /* Hack to initialize sig with a correctly-parsed but invalid signature. */ - secp256k1_ecdsa_signature_parse_compact(ctx, sig, tmpsig); - - /* Sequence tag byte */ - if (pos == inputlen || input[pos] != 0x30) { - return 0; - } - pos++; - - /* Sequence length bytes */ - if (pos == inputlen) { - return 0; - } - lenbyte = input[pos++]; - if (lenbyte & 0x80) { - lenbyte -= 0x80; - if (lenbyte > inputlen - pos) { - return 0; - } - pos += lenbyte; - } - - /* Integer tag byte for R */ - if (pos == inputlen || input[pos] != 0x02) { - return 0; - } - pos++; - - /* Integer length for R */ - if (pos == inputlen) { - return 0; - } - lenbyte = input[pos++]; - if (lenbyte & 0x80) { - lenbyte -= 0x80; - if (lenbyte > inputlen - pos) { - return 0; - } - while (lenbyte > 0 && input[pos] == 0) { - pos++; - lenbyte--; - } - if (lenbyte >= sizeof(size_t)) { - return 0; - } - rlen = 0; - while (lenbyte > 0) { - rlen = (rlen << 8) + input[pos]; - pos++; - lenbyte--; - } - } else { - rlen = lenbyte; - } - if (rlen > inputlen - pos) { - return 0; - } - rpos = pos; - pos += rlen; - - /* Integer tag byte for S */ - if (pos == inputlen || input[pos] != 0x02) { - return 0; - } - pos++; - - /* Integer length for S */ - if (pos == inputlen) { - return 0; - } - lenbyte = input[pos++]; - if (lenbyte & 0x80) { - lenbyte -= 0x80; - if (lenbyte > inputlen - pos) { - return 0; - } - while (lenbyte > 0 && input[pos] == 0) { - pos++; - lenbyte--; - } - if (lenbyte >= sizeof(size_t)) { - return 0; - } - slen = 0; - while (lenbyte > 0) { - slen = (slen << 8) + input[pos]; - pos++; - lenbyte--; - } - } else { - slen = lenbyte; - } - if (slen > inputlen - pos) { - return 0; - } - spos = pos; - pos += slen; - - /* Ignore leading zeroes in R */ - while (rlen > 0 && input[rpos] == 0) { - rlen--; - rpos++; - } - /* Copy R value */ - if (rlen > 32) { - overflow = 1; - } else { - memcpy(tmpsig + 32 - rlen, input + rpos, rlen); - } - - /* Ignore leading zeroes in S */ - while (slen > 0 && input[spos] == 0) { - slen--; - spos++; - } - /* Copy S value */ - if (slen > 32) { - overflow = 1; - } else { - memcpy(tmpsig + 64 - slen, input + spos, slen); - } - - if (!overflow) { - overflow = !secp256k1_ecdsa_signature_parse_compact(ctx, sig, tmpsig); - } - if (overflow) { - memset(tmpsig, 0, 64); - secp256k1_ecdsa_signature_parse_compact(ctx, sig, tmpsig); - } - return 1; -} - diff --git a/src/secp256k1/contrib/lax_der_parsing.h b/src/secp256k1/contrib/lax_der_parsing.h deleted file mode 100644 index 7eaf63bf..00000000 --- a/src/secp256k1/contrib/lax_der_parsing.h +++ /dev/null @@ -1,91 +0,0 @@ -/********************************************************************** - * Copyright (c) 2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -/**** - * Please do not link this file directly. It is not part of the libsecp256k1 - * project and does not promise any stability in its API, functionality or - * presence. Projects which use this code should instead copy this header - * and its accompanying .c file directly into their codebase. - ****/ - -/* This file defines a function that parses DER with various errors and - * violations. This is not a part of the library itself, because the allowed - * violations are chosen arbitrarily and do not follow or establish any - * standard. - * - * In many places it matters that different implementations do not only accept - * the same set of valid signatures, but also reject the same set of signatures. - * The only means to accomplish that is by strictly obeying a standard, and not - * accepting anything else. - * - * Nonetheless, sometimes there is a need for compatibility with systems that - * use signatures which do not strictly obey DER. The snippet below shows how - * certain violations are easily supported. You may need to adapt it. - * - * Do not use this for new systems. Use well-defined DER or compact signatures - * instead if you have the choice (see secp256k1_ecdsa_signature_parse_der and - * secp256k1_ecdsa_signature_parse_compact). - * - * The supported violations are: - * - All numbers are parsed as nonnegative integers, even though X.609-0207 - * section 8.3.3 specifies that integers are always encoded as two's - * complement. - * - Integers can have length 0, even though section 8.3.1 says they can't. - * - Integers with overly long padding are accepted, violation section - * 8.3.2. - * - 127-byte long length descriptors are accepted, even though section - * 8.1.3.5.c says that they are not. - * - Trailing garbage data inside or after the signature is ignored. - * - The length descriptor of the sequence is ignored. - * - * Compared to for example OpenSSL, many violations are NOT supported: - * - Using overly long tag descriptors for the sequence or integers inside, - * violating section 8.1.2.2. - * - Encoding primitive integers as constructed values, violating section - * 8.3.1. - */ - -#ifndef SECP256K1_CONTRIB_LAX_DER_PARSING_H -#define SECP256K1_CONTRIB_LAX_DER_PARSING_H - -#include - -#ifdef __cplusplus -extern "C" { -#endif - -/** Parse a signature in "lax DER" format - * - * Returns: 1 when the signature could be parsed, 0 otherwise. - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input: a pointer to the signature to be parsed - * inputlen: the length of the array pointed to be input - * - * This function will accept any valid DER encoded signature, even if the - * encoded numbers are out of range. In addition, it will accept signatures - * which violate the DER spec in various ways. Its purpose is to allow - * validation of the Bitcoin blockchain, which includes non-DER signatures - * from before the network rules were updated to enforce DER. Note that - * the set of supported violations is a strict subset of what OpenSSL will - * accept. - * - * After the call, sig will always be initialized. If parsing failed or the - * encoded numbers are out of range, signature validation with it is - * guaranteed to fail for every message and public key. - */ -int ecdsa_signature_parse_der_lax( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, - const unsigned char *input, - size_t inputlen -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - -#ifdef __cplusplus -} -#endif - -#endif /* SECP256K1_CONTRIB_LAX_DER_PARSING_H */ diff --git a/src/secp256k1/contrib/lax_der_privatekey_parsing.c b/src/secp256k1/contrib/lax_der_privatekey_parsing.c deleted file mode 100644 index c2e63b4b..00000000 --- a/src/secp256k1/contrib/lax_der_privatekey_parsing.c +++ /dev/null @@ -1,113 +0,0 @@ -/********************************************************************** - * Copyright (c) 2014, 2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#include -#include - -#include "lax_der_privatekey_parsing.h" - -int ec_privkey_import_der(const secp256k1_context* ctx, unsigned char *out32, const unsigned char *privkey, size_t privkeylen) { - const unsigned char *end = privkey + privkeylen; - int lenb = 0; - int len = 0; - memset(out32, 0, 32); - /* sequence header */ - if (end < privkey+1 || *privkey != 0x30) { - return 0; - } - privkey++; - /* sequence length constructor */ - if (end < privkey+1 || !(*privkey & 0x80)) { - return 0; - } - lenb = *privkey & ~0x80; privkey++; - if (lenb < 1 || lenb > 2) { - return 0; - } - if (end < privkey+lenb) { - return 0; - } - /* sequence length */ - len = privkey[lenb-1] | (lenb > 1 ? privkey[lenb-2] << 8 : 0); - privkey += lenb; - if (end < privkey+len) { - return 0; - } - /* sequence element 0: version number (=1) */ - if (end < privkey+3 || privkey[0] != 0x02 || privkey[1] != 0x01 || privkey[2] != 0x01) { - return 0; - } - privkey += 3; - /* sequence element 1: octet string, up to 32 bytes */ - if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1]) { - return 0; - } - memcpy(out32 + 32 - privkey[1], privkey + 2, privkey[1]); - if (!secp256k1_ec_seckey_verify(ctx, out32)) { - memset(out32, 0, 32); - return 0; - } - return 1; -} - -int ec_privkey_export_der(const secp256k1_context *ctx, unsigned char *privkey, size_t *privkeylen, const unsigned char *key32, int compressed) { - secp256k1_pubkey pubkey; - size_t pubkeylen = 0; - if (!secp256k1_ec_pubkey_create(ctx, &pubkey, key32)) { - *privkeylen = 0; - return 0; - } - if (compressed) { - static const unsigned char begin[] = { - 0x30,0x81,0xD3,0x02,0x01,0x01,0x04,0x20 - }; - static const unsigned char middle[] = { - 0xA0,0x81,0x85,0x30,0x81,0x82,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, - 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, - 0x21,0x02,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87, - 0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8, - 0x17,0x98,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E, - 0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x24,0x03,0x22,0x00 - }; - unsigned char *ptr = privkey; - memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); - memcpy(ptr, key32, 32); ptr += 32; - memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); - pubkeylen = 33; - secp256k1_ec_pubkey_serialize(ctx, ptr, &pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED); - ptr += pubkeylen; - *privkeylen = ptr - privkey; - } else { - static const unsigned char begin[] = { - 0x30,0x82,0x01,0x13,0x02,0x01,0x01,0x04,0x20 - }; - static const unsigned char middle[] = { - 0xA0,0x81,0xA5,0x30,0x81,0xA2,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, - 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, - 0x41,0x04,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87, - 0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8, - 0x17,0x98,0x48,0x3A,0xDA,0x77,0x26,0xA3,0xC4,0x65,0x5D,0xA4,0xFB,0xFC,0x0E,0x11, - 0x08,0xA8,0xFD,0x17,0xB4,0x48,0xA6,0x85,0x54,0x19,0x9C,0x47,0xD0,0x8F,0xFB,0x10, - 0xD4,0xB8,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E, - 0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x44,0x03,0x42,0x00 - }; - unsigned char *ptr = privkey; - memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); - memcpy(ptr, key32, 32); ptr += 32; - memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); - pubkeylen = 65; - secp256k1_ec_pubkey_serialize(ctx, ptr, &pubkeylen, &pubkey, SECP256K1_EC_UNCOMPRESSED); - ptr += pubkeylen; - *privkeylen = ptr - privkey; - } - return 1; -} diff --git a/src/secp256k1/contrib/lax_der_privatekey_parsing.h b/src/secp256k1/contrib/lax_der_privatekey_parsing.h deleted file mode 100644 index fece261f..00000000 --- a/src/secp256k1/contrib/lax_der_privatekey_parsing.h +++ /dev/null @@ -1,90 +0,0 @@ -/********************************************************************** - * Copyright (c) 2014, 2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -/**** - * Please do not link this file directly. It is not part of the libsecp256k1 - * project and does not promise any stability in its API, functionality or - * presence. Projects which use this code should instead copy this header - * and its accompanying .c file directly into their codebase. - ****/ - -/* This file contains code snippets that parse DER private keys with - * various errors and violations. This is not a part of the library - * itself, because the allowed violations are chosen arbitrarily and - * do not follow or establish any standard. - * - * It also contains code to serialize private keys in a compatible - * manner. - * - * These functions are meant for compatibility with applications - * that require BER encoded keys. When working with secp256k1-specific - * code, the simple 32-byte private keys normally used by the - * library are sufficient. - */ - -#ifndef SECP256K1_CONTRIB_BER_PRIVATEKEY_H -#define SECP256K1_CONTRIB_BER_PRIVATEKEY_H - -#include - -#ifdef __cplusplus -extern "C" { -#endif - -/** Export a private key in DER format. - * - * Returns: 1 if the private key was valid. - * Args: ctx: pointer to a context object, initialized for signing (cannot - * be NULL) - * Out: privkey: pointer to an array for storing the private key in BER. - * Should have space for 279 bytes, and cannot be NULL. - * privkeylen: Pointer to an int where the length of the private key in - * privkey will be stored. - * In: seckey: pointer to a 32-byte secret key to export. - * compressed: 1 if the key should be exported in - * compressed format, 0 otherwise - * - * This function is purely meant for compatibility with applications that - * require BER encoded keys. When working with secp256k1-specific code, the - * simple 32-byte private keys are sufficient. - * - * Note that this function does not guarantee correct DER output. It is - * guaranteed to be parsable by secp256k1_ec_privkey_import_der - */ -SECP256K1_WARN_UNUSED_RESULT int ec_privkey_export_der( - const secp256k1_context* ctx, - unsigned char *privkey, - size_t *privkeylen, - const unsigned char *seckey, - int compressed -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); - -/** Import a private key in DER format. - * Returns: 1 if a private key was extracted. - * Args: ctx: pointer to a context object (cannot be NULL). - * Out: seckey: pointer to a 32-byte array for storing the private key. - * (cannot be NULL). - * In: privkey: pointer to a private key in DER format (cannot be NULL). - * privkeylen: length of the DER private key pointed to be privkey. - * - * This function will accept more than just strict DER, and even allow some BER - * violations. The public key stored inside the DER-encoded private key is not - * verified for correctness, nor are the curve parameters. Use this function - * only if you know in advance it is supposed to contain a secp256k1 private - * key. - */ -SECP256K1_WARN_UNUSED_RESULT int ec_privkey_import_der( - const secp256k1_context* ctx, - unsigned char *seckey, - const unsigned char *privkey, - size_t privkeylen -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - -#ifdef __cplusplus -} -#endif - -#endif /* SECP256K1_CONTRIB_BER_PRIVATEKEY_H */ diff --git a/src/secp256k1/include/secp256k1.h b/src/secp256k1/include/secp256k1.h index 34e815e6..c6e9417f 100644 --- a/src/secp256k1/include/secp256k1.h +++ b/src/secp256k1/include/secp256k1.h @@ -7,14 +7,16 @@ extern "C" { #include -/* These rules specify the order of arguments in API calls: +/** Unless explicitly stated all pointer arguments must not be NULL. + * + * The following rules specify the order of arguments in API calls: * * 1. Context pointers go first, followed by output arguments, combined * output/input arguments, and finally input-only arguments. - * 2. Array lengths always immediately the follow the argument whose length + * 2. Array lengths always immediately follow the argument whose length * they describe, even if this violates rule 1. * 3. Within the OUT/OUTIN/IN groups, pointers to data that is typically generated - * later go first. This means: signatures, public nonces, private nonces, + * later go first. This means: signatures, public nonces, secret nonces, * messages, public keys, secret keys, tweaks. * 4. Arguments that are not data pointers go last, from more complex to less * complex: function pointers, algorithm names, messages, void pointers, @@ -22,15 +24,19 @@ extern "C" { * 5. Opaque data pointers follow the function pointer they are to be passed to. */ -/** Opaque data structure that holds context information (precomputed tables etc.). +/** Opaque data structure that holds context information * - * The purpose of context structures is to cache large precomputed data tables - * that are expensive to construct, and also to maintain the randomization data - * for blinding. + * The primary purpose of context objects is to store randomization data for + * enhanced protection against side-channel leakage. This protection is only + * effective if the context is randomized after its creation. See + * secp256k1_context_create for creation of contexts and + * secp256k1_context_randomize for randomization. * - * Do not create a new context object for each operation, as construction is - * far slower than all other API calls (~100 times slower than an ECDSA - * verification). + * A secondary purpose of context objects is to store pointers to callback + * functions that the library will call when certain error states arise. See + * secp256k1_context_set_error_callback as well as + * secp256k1_context_set_illegal_callback for details. Future library versions + * may use context objects for additional purposes. * * A constructed context can safely be used from multiple threads * simultaneously, but API calls that take a non-const pointer to a context @@ -43,32 +49,20 @@ extern "C" { */ typedef struct secp256k1_context_struct secp256k1_context; -/** Opaque data structure that holds rewriteable "scratch space" - * - * The purpose of this structure is to replace dynamic memory allocations, - * because we target architectures where this may not be available. It is - * essentially a resizable (within specified parameters) block of bytes, - * which is initially created either by memory allocation or TODO as a pointer - * into some fixed rewritable space. - * - * Unlike the context object, this cannot safely be shared between threads - * without additional synchronization logic. - */ -typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space; - /** Opaque data structure that holds a parsed and valid public key. * * The exact representation of data inside is implementation defined and not * guaranteed to be portable between different platforms or versions. It is * however guaranteed to be 64 bytes in size, and can be safely copied/moved. - * If you need to convert to a format suitable for storage, transmission, or - * comparison, use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. + * If you need to convert to a format suitable for storage or transmission, + * use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. To + * compare keys, use secp256k1_ec_pubkey_cmp. */ -typedef struct { +typedef struct secp256k1_pubkey { unsigned char data[64]; } secp256k1_pubkey; -/** Opaque data structured that holds a parsed ECDSA signature. +/** Opaque data structure that holds a parsed ECDSA signature. * * The exact representation of data inside is implementation defined and not * guaranteed to be portable between different platforms or versions. It is @@ -77,7 +71,7 @@ typedef struct { * comparison, use the secp256k1_ecdsa_signature_serialize_* and * secp256k1_ecdsa_signature_parse_* functions. */ -typedef struct { +typedef struct secp256k1_ecdsa_signature { unsigned char data[64]; } secp256k1_ecdsa_signature; @@ -115,35 +109,62 @@ typedef int (*secp256k1_nonce_function)( # endif # endif -# if (!defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L) ) -# if SECP256K1_GNUC_PREREQ(2,7) -# define SECP256K1_INLINE __inline__ -# elif (defined(_MSC_VER)) -# define SECP256K1_INLINE __inline +/* When this header is used at build-time the SECP256K1_BUILD define needs to be set + * to correctly setup export attributes and nullness checks. This is normally done + * by secp256k1.c but to guard against this header being included before secp256k1.c + * has had a chance to set the define (e.g. via test harnesses that just includes + * secp256k1.c) we set SECP256K1_NO_BUILD when this header is processed without the + * BUILD define so this condition can be caught. + */ +#ifndef SECP256K1_BUILD +# define SECP256K1_NO_BUILD +#endif + +/* Symbol visibility. */ +#if defined(_WIN32) + /* GCC for Windows (e.g., MinGW) accepts the __declspec syntax + * for MSVC compatibility. A __declspec declaration implies (but is not + * exactly equivalent to) __attribute__ ((visibility("default"))), and so we + * actually want __declspec even on GCC, see "Microsoft Windows Function + * Attributes" in the GCC manual and the recommendations in + * https://gcc.gnu.org/wiki/Visibility. */ +# if defined(SECP256K1_BUILD) +# if defined(DLL_EXPORT) || defined(SECP256K1_DLL_EXPORT) + /* Building libsecp256k1 as a DLL. + * 1. If using Libtool, it defines DLL_EXPORT automatically. + * 2. In other cases, SECP256K1_DLL_EXPORT must be defined. */ +# define SECP256K1_API extern __declspec (dllexport) # else -# define SECP256K1_INLINE + /* Building libsecp256k1 as a static library on Windows. + * No declspec is needed, and so we would want the non-Windows-specific + * logic below take care of this case. However, this may result in setting + * __attribute__ ((visibility("default"))), which is supposed to be a noop + * on Windows but may trigger warnings when compiling with -flto due to a + * bug in GCC, see + * https://gcc.gnu.org/bugzilla/show_bug.cgi?id=116478 . */ +# define SECP256K1_API extern # endif -# else -# define SECP256K1_INLINE inline + /* The user must define SECP256K1_STATIC when consuming libsecp256k1 as a static + * library on Windows. */ +# elif !defined(SECP256K1_STATIC) + /* Consuming libsecp256k1 as a DLL. */ +# define SECP256K1_API extern __declspec (dllimport) # endif - +#endif #ifndef SECP256K1_API -# if defined(_WIN32) -# ifdef SECP256K1_BUILD -# define SECP256K1_API __declspec(dllexport) -# else -# define SECP256K1_API -# endif -# elif defined(__GNUC__) && defined(SECP256K1_BUILD) -# define SECP256K1_API __attribute__ ((visibility ("default"))) +/* All cases not captured by the Windows-specific logic. */ +# if defined(__GNUC__) && (__GNUC__ >= 4) && defined(SECP256K1_BUILD) + /* Building libsecp256k1 using GCC or compatible. */ +# define SECP256K1_API extern __attribute__ ((visibility ("default"))) # else -# define SECP256K1_API + /* Fall back to standard C's extern. */ +# define SECP256K1_API extern # endif #endif -/**Warning attributes - * NONNULL is not used if SECP256K1_BUILD is set to avoid the compiler optimizing out - * some paranoid null checks. */ +/* Warning attributes + * NONNULL is not used if SECP256K1_BUILD is set to avoid the compiler optimizing out + * some paranoid null checks. */ # if defined(__GNUC__) && SECP256K1_GNUC_PREREQ(3, 4) # define SECP256K1_WARN_UNUSED_RESULT __attribute__ ((__warn_unused_result__)) # else @@ -155,20 +176,37 @@ typedef int (*secp256k1_nonce_function)( # define SECP256K1_ARG_NONNULL(_x) # endif -/** All flags' lower 8 bits indicate what they're for. Do not use directly. */ +/* Attribute for marking functions, types, and variables as deprecated */ +#if !defined(SECP256K1_BUILD) && defined(__has_attribute) +# if __has_attribute(__deprecated__) +# define SECP256K1_DEPRECATED(_msg) __attribute__ ((__deprecated__(_msg))) +# else +# define SECP256K1_DEPRECATED(_msg) +# endif +#else +# define SECP256K1_DEPRECATED(_msg) +#endif + +/* All flags' lower 8 bits indicate what they're for. Do not use directly. */ #define SECP256K1_FLAGS_TYPE_MASK ((1 << 8) - 1) #define SECP256K1_FLAGS_TYPE_CONTEXT (1 << 0) #define SECP256K1_FLAGS_TYPE_COMPRESSION (1 << 1) -/** The higher bits contain the actual data. Do not use directly. */ +/* The higher bits contain the actual data. Do not use directly. */ #define SECP256K1_FLAGS_BIT_CONTEXT_VERIFY (1 << 8) #define SECP256K1_FLAGS_BIT_CONTEXT_SIGN (1 << 9) +#define SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY (1 << 10) #define SECP256K1_FLAGS_BIT_COMPRESSION (1 << 8) -/** Flags to pass to secp256k1_context_create, secp256k1_context_preallocated_size, and +/** Context flags to pass to secp256k1_context_create, secp256k1_context_preallocated_size, and * secp256k1_context_preallocated_create. */ +#define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT) + +/** Deprecated context flags. These flags are treated equivalent to SECP256K1_CONTEXT_NONE. */ #define SECP256K1_CONTEXT_VERIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) #define SECP256K1_CONTEXT_SIGN (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_SIGN) -#define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT) + +/* Testing flag. Do not use. */ +#define SECP256K1_CONTEXT_DECLASSIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY) /** Flag to pass to secp256k1_ec_pubkey_serialize. */ #define SECP256K1_EC_COMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION | SECP256K1_FLAGS_BIT_COMPRESSION) @@ -181,25 +219,68 @@ typedef int (*secp256k1_nonce_function)( #define SECP256K1_TAG_PUBKEY_HYBRID_EVEN 0x06 #define SECP256K1_TAG_PUBKEY_HYBRID_ODD 0x07 -/** A simple secp256k1 context object with no precomputed tables. These are useful for - * type serialization/parsing functions which require a context object to maintain - * API consistency, but currently do not require expensive precomputations or dynamic - * allocations. +/** A built-in constant secp256k1 context object with static storage duration, to be + * used in conjunction with secp256k1_selftest. + * + * This context object offers *only limited functionality* , i.e., it cannot be used + * for API functions that perform computations involving secret keys, e.g., signing + * and public key generation. If this restriction applies to a specific API function, + * it is mentioned in its documentation. See secp256k1_context_create if you need a + * full context object that supports all functionality offered by the library. + * + * It is highly recommended to call secp256k1_selftest before using this context. */ -SECP256K1_API extern const secp256k1_context *secp256k1_context_no_precomp; +SECP256K1_API const secp256k1_context *secp256k1_context_static; + +/** Deprecated alias for secp256k1_context_static. */ +SECP256K1_API const secp256k1_context *secp256k1_context_no_precomp +SECP256K1_DEPRECATED("Use secp256k1_context_static instead"); + +/** Perform basic self tests (to be used in conjunction with secp256k1_context_static) + * + * This function performs self tests that detect some serious usage errors and + * similar conditions, e.g., when the library is compiled for the wrong endianness. + * This is a last resort measure to be used in production. The performed tests are + * very rudimentary and are not intended as a replacement for running the test + * binaries. + * + * It is highly recommended to call this before using secp256k1_context_static. + * It is not necessary to call this function before using a context created with + * secp256k1_context_create (or secp256k1_context_preallocated_create), which will + * take care of performing the self tests. + * + * If the tests fail, this function will call the default error handler to abort the + * program (see secp256k1_context_set_error_callback). + */ +SECP256K1_API void secp256k1_selftest(void); + /** Create a secp256k1 context object (in dynamically allocated memory). * * This function uses malloc to allocate memory. It is guaranteed that malloc is * called at most once for every call of this function. If you need to avoid dynamic - * memory allocation entirely, see the functions in secp256k1_preallocated.h. + * memory allocation entirely, see secp256k1_context_static and the functions in + * secp256k1_preallocated.h. + * + * Returns: pointer to a newly created context object. + * In: flags: Always set to SECP256K1_CONTEXT_NONE (see below). + * + * The only valid non-deprecated flag in recent library versions is + * SECP256K1_CONTEXT_NONE, which will create a context sufficient for all functionality + * offered by the library. All other (deprecated) flags will be treated as equivalent + * to the SECP256K1_CONTEXT_NONE flag. Though the flags parameter primarily exists for + * historical reasons, future versions of the library may introduce new flags. * - * Returns: a newly created context object. - * In: flags: which parts of the context to initialize. + * If the context is intended to be used for API functions that perform computations + * involving secret keys, e.g., signing and public key generation, then it is highly + * recommended to call secp256k1_context_randomize on the context before calling + * those API functions. This will provide enhanced protection against side-channel + * leakage, see secp256k1_context_randomize for details. * - * See also secp256k1_context_randomize. + * Do not create a new context object for each operation, as construction and + * randomization can take non-negligible time. */ -SECP256K1_API secp256k1_context* secp256k1_context_create( +SECP256K1_API secp256k1_context *secp256k1_context_create( unsigned int flags ) SECP256K1_WARN_UNUSED_RESULT; @@ -209,11 +290,14 @@ SECP256K1_API secp256k1_context* secp256k1_context_create( * called at most once for every call of this function. If you need to avoid dynamic * memory allocation entirely, see the functions in secp256k1_preallocated.h. * - * Returns: a newly created context object. - * Args: ctx: an existing context to copy (cannot be NULL) + * Cloning secp256k1_context_static is not possible, and should not be emulated by + * the caller (e.g., using memcpy). Create a new context instead. + * + * Returns: pointer to a newly created context object. + * Args: ctx: pointer to a context to copy (not secp256k1_context_static). */ -SECP256K1_API secp256k1_context* secp256k1_context_clone( - const secp256k1_context* ctx +SECP256K1_API secp256k1_context *secp256k1_context_clone( + const secp256k1_context *ctx ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT; /** Destroy a secp256k1 context object (created in dynamically allocated memory). @@ -226,12 +310,13 @@ SECP256K1_API secp256k1_context* secp256k1_context_clone( * behaviour is undefined. In that case, secp256k1_context_preallocated_destroy must * be used instead. * - * Args: ctx: an existing context to destroy, constructed using + * Args: ctx: pointer to a context to destroy, constructed using * secp256k1_context_create or secp256k1_context_clone + * (i.e., not secp256k1_context_static). */ SECP256K1_API void secp256k1_context_destroy( - secp256k1_context* ctx -); + secp256k1_context *ctx +) SECP256K1_ARG_NONNULL(1); /** Set a callback function to be called when an illegal argument is passed to * an API call. It will only trigger for violations that are mentioned @@ -254,30 +339,33 @@ SECP256K1_API void secp256k1_context_destroy( * USE_EXTERNAL_DEFAULT_CALLBACKS is defined, which is the case if the build * has been configured with --enable-external-default-callbacks. Then the * following two symbols must be provided to link against: - * - void secp256k1_default_illegal_callback_fn(const char* message, void* data); - * - void secp256k1_default_error_callback_fn(const char* message, void* data); + * - void secp256k1_default_illegal_callback_fn(const char *message, void *data); + * - void secp256k1_default_error_callback_fn(const char *message, void *data); * The library can call these default handlers even before a proper callback data * pointer could have been set using secp256k1_context_set_illegal_callback or * secp256k1_context_set_error_callback, e.g., when the creation of a context * fails. In this case, the corresponding default handler will be called with * the data pointer argument set to NULL. * - * Args: ctx: an existing context object (cannot be NULL) - * In: fun: a pointer to a function to call when an illegal argument is + * Args: ctx: pointer to a context object. + * In: fun: pointer to a function to call when an illegal argument is * passed to the API, taking a message and an opaque pointer. * (NULL restores the default handler.) - * data: the opaque pointer to pass to fun above. + * data: the opaque pointer to pass to fun above, must be NULL for the default handler. * * See also secp256k1_context_set_error_callback. */ SECP256K1_API void secp256k1_context_set_illegal_callback( - secp256k1_context* ctx, - void (*fun)(const char* message, void* data), - const void* data + secp256k1_context *ctx, + void (*fun)(const char *message, void *data), + const void *data ) SECP256K1_ARG_NONNULL(1); /** Set a callback function to be called when an internal consistency check - * fails. The default is crashing. + * fails. + * + * The default callback writes an error message to stderr and calls abort + * to abort the program. * * This can only trigger in case of a hardware failure, miscompilation, * memory corruption, serious bug in the library, or other error would can @@ -286,49 +374,26 @@ SECP256K1_API void secp256k1_context_set_illegal_callback( * for that). After this callback returns, anything may happen, including * crashing. * - * Args: ctx: an existing context object (cannot be NULL) - * In: fun: a pointer to a function to call when an internal error occurs, + * Args: ctx: pointer to a context object. + * In: fun: pointer to a function to call when an internal error occurs, * taking a message and an opaque pointer (NULL restores the * default handler, see secp256k1_context_set_illegal_callback * for details). - * data: the opaque pointer to pass to fun above. + * data: the opaque pointer to pass to fun above, must be NULL for the default handler. * * See also secp256k1_context_set_illegal_callback. */ SECP256K1_API void secp256k1_context_set_error_callback( - secp256k1_context* ctx, - void (*fun)(const char* message, void* data), - const void* data -) SECP256K1_ARG_NONNULL(1); - -/** Create a secp256k1 scratch space object. - * - * Returns: a newly created scratch space. - * Args: ctx: an existing context object (cannot be NULL) - * In: size: amount of memory to be available as scratch space. Some extra - * (<100 bytes) will be allocated for extra accounting. - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT secp256k1_scratch_space* secp256k1_scratch_space_create( - const secp256k1_context* ctx, - size_t size -) SECP256K1_ARG_NONNULL(1); - -/** Destroy a secp256k1 scratch space. - * - * The pointer may not be used afterwards. - * Args: ctx: a secp256k1 context object. - * scratch: space to destroy - */ -SECP256K1_API void secp256k1_scratch_space_destroy( - const secp256k1_context* ctx, - secp256k1_scratch_space* scratch + secp256k1_context *ctx, + void (*fun)(const char *message, void *data), + const void *data ) SECP256K1_ARG_NONNULL(1); /** Parse a variable-length public key into the pubkey object. * * Returns: 1 if the public key was fully valid. * 0 if the public key could not be parsed or is invalid. - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object. * Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a * parsed version of input. If not, its value is undefined. * In: input: pointer to a serialized public key @@ -339,8 +404,8 @@ SECP256K1_API void secp256k1_scratch_space_destroy( * byte 0x06 or 0x07) format public keys. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse( - const secp256k1_context* ctx, - secp256k1_pubkey* pubkey, + const secp256k1_context *ctx, + secp256k1_pubkey *pubkey, const unsigned char *input, size_t inputlen ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -348,65 +413,94 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse( /** Serialize a pubkey object into a serialized byte sequence. * * Returns: 1 always. - * Args: ctx: a secp256k1 context object. - * Out: output: a pointer to a 65-byte (if compressed==0) or 33-byte (if + * Args: ctx: pointer to a context object. + * Out: output: pointer to a 65-byte (if compressed==0) or 33-byte (if * compressed==1) byte array to place the serialized key * in. - * In/Out: outputlen: a pointer to an integer which is initially set to the + * In/Out: outputlen: pointer to an integer which is initially set to the * size of output, and is overwritten with the written * size. - * In: pubkey: a pointer to a secp256k1_pubkey containing an + * In: pubkey: pointer to a secp256k1_pubkey containing an * initialized public key. * flags: SECP256K1_EC_COMPRESSED if serialization should be in * compressed format, otherwise SECP256K1_EC_UNCOMPRESSED. */ SECP256K1_API int secp256k1_ec_pubkey_serialize( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output, size_t *outputlen, - const secp256k1_pubkey* pubkey, + const secp256k1_pubkey *pubkey, unsigned int flags ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); +/** Compare two public keys using lexicographic (of compressed serialization) order + * + * Returns: <0 if the first public key is less than the second + * >0 if the first public key is greater than the second + * 0 if the two public keys are equal + * Args: ctx: pointer to a context object + * In: pubkey1: first public key to compare + * pubkey2: second public key to compare + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp( + const secp256k1_context *ctx, + const secp256k1_pubkey *pubkey1, + const secp256k1_pubkey *pubkey2 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Sort public keys using lexicographic (of compressed serialization) order + * + * Returns: 0 if the arguments are invalid. 1 otherwise. + * + * Args: ctx: pointer to a context object + * In: pubkeys: array of pointers to pubkeys to sort + * n_pubkeys: number of elements in the pubkeys array + */ +SECP256K1_API int secp256k1_ec_pubkey_sort( + const secp256k1_context *ctx, + const secp256k1_pubkey **pubkeys, + size_t n_pubkeys +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); + /** Parse an ECDSA signature in compact (64 bytes) format. * * Returns: 1 when the signature could be parsed, 0 otherwise. - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input64: a pointer to the 64-byte array to parse + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: input64: pointer to the 64-byte array to parse * * The signature must consist of a 32-byte big endian R value, followed by a * 32-byte big endian S value. If R or S fall outside of [0..order-1], the * encoding is invalid. R and S with value 0 are allowed in the encoding. * * After the call, sig will always be initialized. If parsing failed or R or - * S are zero, the resulting sig value is guaranteed to fail validation for any - * message and public key. + * S are zero, the resulting sig value is guaranteed to fail verification for + * any message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_compact( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, + const secp256k1_context *ctx, + secp256k1_ecdsa_signature *sig, const unsigned char *input64 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Parse a DER ECDSA signature. * * Returns: 1 when the signature could be parsed, 0 otherwise. - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input: a pointer to the signature to be parsed + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: input: pointer to the signature to be parsed * inputlen: the length of the array pointed to be input * * This function will accept any valid DER encoded signature, even if the * encoded numbers are out of range. * * After the call, sig will always be initialized. If parsing failed or the - * encoded numbers are out of range, signature validation with it is + * encoded numbers are out of range, signature verification with it is * guaranteed to fail for every message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_der( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, + const secp256k1_context *ctx, + secp256k1_ecdsa_signature *sig, const unsigned char *input, size_t inputlen ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -414,71 +508,77 @@ SECP256K1_API int secp256k1_ecdsa_signature_parse_der( /** Serialize an ECDSA signature in DER format. * * Returns: 1 if enough space was available to serialize, 0 otherwise - * Args: ctx: a secp256k1 context object - * Out: output: a pointer to an array to store the DER serialization - * In/Out: outputlen: a pointer to a length integer. Initially, this integer + * Args: ctx: pointer to a context object + * Out: output: pointer to an array to store the DER serialization + * In/Out: outputlen: pointer to a length integer. Initially, this integer * should be set to the length of output. After the call * it will be set to the length of the serialization (even * if 0 was returned). - * In: sig: a pointer to an initialized signature object + * In: sig: pointer to an initialized signature object */ SECP256K1_API int secp256k1_ecdsa_signature_serialize_der( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output, size_t *outputlen, - const secp256k1_ecdsa_signature* sig + const secp256k1_ecdsa_signature *sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); /** Serialize an ECDSA signature in compact (64 byte) format. * * Returns: 1 - * Args: ctx: a secp256k1 context object - * Out: output64: a pointer to a 64-byte array to store the compact serialization - * In: sig: a pointer to an initialized signature object + * Args: ctx: pointer to a context object + * Out: output64: pointer to a 64-byte array to store the compact serialization + * In: sig: pointer to an initialized signature object * * See secp256k1_ecdsa_signature_parse_compact for details about the encoding. */ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output64, - const secp256k1_ecdsa_signature* sig + const secp256k1_ecdsa_signature *sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Verify an ECDSA signature. * * Returns: 1: correct signature * 0: incorrect or unparseable signature - * Args: ctx: a secp256k1 context object, initialized for verification. - * In: sig: the signature being verified (cannot be NULL) - * msg32: the 32-byte message hash being verified (cannot be NULL) - * pubkey: pointer to an initialized public key to verify with (cannot be NULL) + * Args: ctx: pointer to a context object + * In: sig: the signature being verified. + * msghash32: the 32-byte message hash being verified. + * The verifier must make sure to apply a cryptographic + * hash function to the message by itself and not accept an + * msghash32 value directly. Otherwise, it would be easy to + * create a "valid" signature without knowledge of the + * secret key. See also + * https://bitcoin.stackexchange.com/a/81116/35586 for more + * background on this topic. + * pubkey: pointer to an initialized public key to verify with. * * To avoid accepting malleable signatures, only ECDSA signatures in lower-S * form are accepted. * * If you need to accept ECDSA signatures from sources that do not obey this * rule, apply secp256k1_ecdsa_signature_normalize to the signature prior to - * validation, but be aware that doing so results in malleable signatures. + * verification, but be aware that doing so results in malleable signatures. * * For details, see the comments for that function. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( - const secp256k1_context* ctx, + const secp256k1_context *ctx, const secp256k1_ecdsa_signature *sig, - const unsigned char *msg32, + const unsigned char *msghash32, const secp256k1_pubkey *pubkey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); /** Convert a signature to a normalized lower-S form. * * Returns: 1 if sigin was not normalized, 0 if it already was. - * Args: ctx: a secp256k1 context object - * Out: sigout: a pointer to a signature to fill with the normalized form, + * Args: ctx: pointer to a context object + * Out: sigout: pointer to a signature to fill with the normalized form, * or copy if the input was already normalized. (can be NULL if * you're only interested in whether the input was already * normalized). - * In: sigin: a pointer to a signature to check/normalize (cannot be NULL, - * can be identical to sigout) + * In: sigin: pointer to a signature to check/normalize (can be identical to sigout) * * With ECDSA a third-party can forge a second distinct signature of the same * message, given a single initial signature, but without knowing the key. This @@ -512,7 +612,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( * secp256k1_ecdsa_signature_normalize must be called before verification. */ SECP256K1_API int secp256k1_ecdsa_signature_normalize( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_ecdsa_signature *sigout, const secp256k1_ecdsa_signature *sigin ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3); @@ -521,185 +621,276 @@ SECP256K1_API int secp256k1_ecdsa_signature_normalize( * If a data pointer is passed, it is assumed to be a pointer to 32 bytes of * extra entropy. */ -SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_rfc6979; +SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_rfc6979; /** A default safe nonce generation function (currently equal to secp256k1_nonce_function_rfc6979). */ -SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_default; +SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_default; /** Create an ECDSA signature. * * Returns: 1: signature created - * 0: the nonce generation function failed, or the private key was invalid. - * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL) - * Out: sig: pointer to an array where the signature will be placed (cannot be NULL) - * In: msg32: the 32-byte message hash being signed (cannot be NULL) - * seckey: pointer to a 32-byte secret key (cannot be NULL) - * noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used - * ndata: pointer to arbitrary data used by the nonce generation function (can be NULL) + * 0: the nonce generation function failed, or the secret key was invalid. + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: sig: pointer to an array where the signature will be placed. + * In: msghash32: the 32-byte message hash being signed. + * seckey: pointer to a 32-byte secret key. + * noncefp: pointer to a nonce generation function. If NULL, + * secp256k1_nonce_function_default is used. + * ndata: pointer to arbitrary data used by the nonce generation function + * (can be NULL). If it is non-NULL and + * secp256k1_nonce_function_default is used, then ndata must be a + * pointer to 32-bytes of additional data. * * The created signature is always in lower-S form. See * secp256k1_ecdsa_signature_normalize for more details. */ SECP256K1_API int secp256k1_ecdsa_sign( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_ecdsa_signature *sig, - const unsigned char *msg32, + const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void *ndata ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); -/** Verify an ECDSA secret key. +/** Verify an elliptic curve secret key. + * + * A secret key is valid if it is not 0 and less than the secp256k1 curve order + * when interpreted as an integer (most significant byte first). The + * probability of choosing a 32-byte string uniformly at random which is an + * invalid secret key is negligible. However, if it does happen it should + * be assumed that the randomness source is severely broken and there should + * be no retry. * * Returns: 1: secret key is valid * 0: secret key is invalid - * Args: ctx: pointer to a context object (cannot be NULL) - * In: seckey: pointer to a 32-byte secret key (cannot be NULL) + * Args: ctx: pointer to a context object. + * In: seckey: pointer to a 32-byte secret key. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify( - const secp256k1_context* ctx, + const secp256k1_context *ctx, const unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); /** Compute the public key for a secret key. * - * Returns: 1: secret was valid, public key stores - * 0: secret was invalid, try again - * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL) - * Out: pubkey: pointer to the created public key (cannot be NULL) - * In: seckey: pointer to a 32-byte private key (cannot be NULL) + * Returns: 1: secret was valid, public key stores. + * 0: secret was invalid, try again. + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: pubkey: pointer to the created public key. + * In: seckey: pointer to a 32-byte secret key. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Negates a private key in place. +/** Negates a secret key in place. * - * Returns: 1 always - * Args: ctx: pointer to a context object - * In/Out: seckey: pointer to the 32-byte private key to be negated (cannot be NULL) + * Returns: 0 if the given secret key is invalid according to + * secp256k1_ec_seckey_verify. 1 otherwise + * Args: ctx: pointer to a context object + * In/Out: seckey: pointer to the 32-byte secret key to be negated. If the + * secret key is invalid according to + * secp256k1_ec_seckey_verify, this function returns 0 and + * seckey will be set to some unspecified value. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate( - const secp256k1_context* ctx, +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_negate( + const secp256k1_context *ctx, unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); +/** Same as secp256k1_ec_seckey_negate, but DEPRECATED. Will be removed in + * future versions. */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate( + const secp256k1_context *ctx, + unsigned char *seckey +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) + SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_negate instead"); + /** Negates a public key in place. * * Returns: 1 always * Args: ctx: pointer to a context object - * In/Out: pubkey: pointer to the public key to be negated (cannot be NULL) + * In/Out: pubkey: pointer to the public key to be negated. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); -/** Tweak a private key by adding tweak to it. - * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for - * uniformly random 32-byte arrays, or if the resulting private key - * would be invalid (only when the tweak is the complement of the - * private key). 1 otherwise. - * Args: ctx: pointer to a context object (cannot be NULL). - * In/Out: seckey: pointer to a 32-byte private key. - * In: tweak: pointer to a 32-byte tweak. - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add( - const secp256k1_context* ctx, +/** Tweak a secret key by adding tweak to it. + * + * Returns: 0 if the arguments are invalid or the resulting secret key would be + * invalid (only when the tweak is the negation of the secret key). 1 + * otherwise. + * Args: ctx: pointer to a context object. + * In/Out: seckey: pointer to a 32-byte secret key. If the secret key is + * invalid according to secp256k1_ec_seckey_verify, this + * function returns 0. seckey will be set to some unspecified + * value if this function returns 0. + * In: tweak32: pointer to a 32-byte tweak, which must be valid according to + * secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly + * random 32-byte tweaks, the chance of being invalid is + * negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add( + const secp256k1_context *ctx, unsigned char *seckey, - const unsigned char *tweak + const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); +/** Same as secp256k1_ec_seckey_tweak_add, but DEPRECATED. Will be removed in + * future versions. */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add( + const secp256k1_context *ctx, + unsigned char *seckey, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) + SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_add instead"); + /** Tweak a public key by adding tweak times the generator to it. - * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for - * uniformly random 32-byte arrays, or if the resulting public key - * would be invalid (only when the tweak is the complement of the - * corresponding private key). 1 otherwise. - * Args: ctx: pointer to a context object initialized for validation - * (cannot be NULL). - * In/Out: pubkey: pointer to a public key object. - * In: tweak: pointer to a 32-byte tweak. + * + * Returns: 0 if the arguments are invalid or the resulting public key would be + * invalid (only when the tweak is the negation of the corresponding + * secret key). 1 otherwise. + * Args: ctx: pointer to a context object. + * In/Out: pubkey: pointer to a public key object. pubkey will be set to an + * invalid value if this function returns 0. + * In: tweak32: pointer to a 32-byte tweak, which must be valid according to + * secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly + * random 32-byte tweaks, the chance of being invalid is + * negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, - const unsigned char *tweak + const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Tweak a private key by multiplying it by a tweak. - * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for - * uniformly random 32-byte arrays, or equal to zero. 1 otherwise. - * Args: ctx: pointer to a context object (cannot be NULL). - * In/Out: seckey: pointer to a 32-byte private key. - * In: tweak: pointer to a 32-byte tweak. - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul( - const secp256k1_context* ctx, +/** Tweak a secret key by multiplying it by a tweak. + * + * Returns: 0 if the arguments are invalid. 1 otherwise. + * Args: ctx: pointer to a context object. + * In/Out: seckey: pointer to a 32-byte secret key. If the secret key is + * invalid according to secp256k1_ec_seckey_verify, this + * function returns 0. seckey will be set to some unspecified + * value if this function returns 0. + * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to + * secp256k1_ec_seckey_verify, this function returns 0. For + * uniformly random 32-byte arrays the chance of being invalid + * is negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul( + const secp256k1_context *ctx, unsigned char *seckey, - const unsigned char *tweak + const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); +/** Same as secp256k1_ec_seckey_tweak_mul, but DEPRECATED. Will be removed in + * future versions. */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul( + const secp256k1_context *ctx, + unsigned char *seckey, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) + SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_mul instead"); + /** Tweak a public key by multiplying it by a tweak value. - * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for - * uniformly random 32-byte arrays, or equal to zero. 1 otherwise. - * Args: ctx: pointer to a context object initialized for validation - * (cannot be NULL). - * In/Out: pubkey: pointer to a public key object. - * In: tweak: pointer to a 32-byte tweak. + * + * Returns: 0 if the arguments are invalid. 1 otherwise. + * Args: ctx: pointer to a context object. + * In/Out: pubkey: pointer to a public key object. pubkey will be set to an + * invalid value if this function returns 0. + * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to + * secp256k1_ec_seckey_verify, this function returns 0. For + * uniformly random 32-byte arrays the chance of being invalid + * is negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, - const unsigned char *tweak + const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Updates the context randomization to protect against side-channel leakage. - * Returns: 1: randomization successfully updated or nothing to randomize +/** Randomizes the context to provide enhanced protection against side-channel leakage. + * + * Returns: 1: randomization successful * 0: error - * Args: ctx: pointer to a context object (cannot be NULL) - * In: seed32: pointer to a 32-byte random seed (NULL resets to initial state) + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * In: seed32: pointer to a 32-byte random seed (NULL resets to initial state). * - * While secp256k1 code is written to be constant-time no matter what secret - * values are, it's possible that a future compiler may output code which isn't, + * While secp256k1 code is written and tested to be constant-time no matter what + * secret values are, it is possible that a compiler may output code which is not, * and also that the CPU may not emit the same radio frequencies or draw the same - * amount power for all values. - * - * This function provides a seed which is combined into the blinding value: that - * blinding value is added before each multiplication (and removed afterwards) so - * that it does not affect function results, but shields against attacks which - * rely on any input-dependent behaviour. - * - * This function has currently an effect only on contexts initialized for signing - * because randomization is currently used only for signing. However, this is not - * guaranteed and may change in the future. It is safe to call this function on - * contexts not initialized for signing; then it will have no effect and return 1. - * - * You should call this after secp256k1_context_create or - * secp256k1_context_clone (and secp256k1_context_preallocated_create or - * secp256k1_context_clone, resp.), and you may call this repeatedly afterwards. + * amount of power for all values. Randomization of the context shields against + * side-channel observations which aim to exploit secret-dependent behaviour in + * certain computations which involve secret keys. + * + * It is highly recommended to call this function on contexts returned from + * secp256k1_context_create or secp256k1_context_clone (or from the corresponding + * functions in secp256k1_preallocated.h) before using these contexts to call API + * functions that perform computations involving secret keys, e.g., signing and + * public key generation. It is possible to call this function more than once on + * the same context, and doing so before every few computations involving secret + * keys is recommended as a defense-in-depth measure. Randomization of the static + * context secp256k1_context_static is not supported. + * + * Currently, the random seed is mainly used for blinding multiplications of a + * secret scalar with the elliptic curve base point. Multiplications of this + * kind are performed by exactly those API functions which are documented to + * require a context that is not secp256k1_context_static. As a rule of thumb, + * these are all functions which take a secret key (or a keypair) as an input. + * A notable exception to that rule is the ECDH module, which relies on a different + * kind of elliptic curve point multiplication and thus does not benefit from + * enhanced protection against side-channel leakage currently. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize( - secp256k1_context* ctx, + secp256k1_context *ctx, const unsigned char *seed32 ) SECP256K1_ARG_NONNULL(1); /** Add a number of public keys together. + * * Returns: 1: the sum of the public keys is valid. * 0: the sum of the public keys is not valid. - * Args: ctx: pointer to a context object - * Out: out: pointer to a public key object for placing the resulting public key - * (cannot be NULL) - * In: ins: pointer to array of pointers to public keys (cannot be NULL) - * n: the number of public keys to add together (must be at least 1) + * Args: ctx: pointer to a context object. + * Out: out: pointer to a public key object for placing the resulting public key. + * In: ins: pointer to array of pointers to public keys. + * n: the number of public keys to add together (must be at least 1). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *out, - const secp256k1_pubkey * const * ins, + const secp256k1_pubkey * const *ins, size_t n -) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Compute a tagged hash as defined in BIP-340. + * + * This is useful for creating a message hash and achieving domain separation + * through an application-specific tag. This function returns + * SHA256(SHA256(tag)||SHA256(tag)||msg). Therefore, tagged hash + * implementations optimized for a specific tag can precompute the SHA256 state + * after hashing the tag hashes. + * + * Returns: 1 always. + * Args: ctx: pointer to a context object + * Out: hash32: pointer to a 32-byte array to store the resulting hash + * In: tag: pointer to an array containing the tag + * taglen: length of the tag array + * msg: pointer to an array containing the message + * msglen: length of the message array + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_tagged_sha256( + const secp256k1_context *ctx, + unsigned char *hash32, + const unsigned char *tag, + size_t taglen, + const unsigned char *msg, + size_t msglen +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5); #ifdef __cplusplus } diff --git a/src/secp256k1/include/secp256k1_ecdh.h b/src/secp256k1/include/secp256k1_ecdh.h index 59b74091..4d9da346 100644 --- a/src/secp256k1/include/secp256k1_ecdh.h +++ b/src/secp256k1/include/secp256k1_ecdh.h @@ -27,30 +27,31 @@ typedef int (*secp256k1_ecdh_hash_function)( /** An implementation of SHA256 hash function that applies to compressed public key. * Populates the output parameter with 32 bytes. */ -SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256; +SECP256K1_API const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256; /** A default ECDH hash function (currently equal to secp256k1_ecdh_hash_function_sha256). * Populates the output parameter with 32 bytes. */ -SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default; +SECP256K1_API const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default; /** Compute an EC Diffie-Hellman secret in constant time * * Returns: 1: exponentiation was successful * 0: scalar was invalid (zero or overflow) or hashfp returned 0 - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: output: pointer to an array to be filled by hashfp - * In: pubkey: a pointer to a secp256k1_pubkey containing an - * initialized public key - * privkey: a 32-byte scalar with which to multiply the point - * hashfp: pointer to a hash function. If NULL, secp256k1_ecdh_hash_function_sha256 is used - * (in which case, 32 bytes will be written to output) + * Args: ctx: pointer to a context object. + * Out: output: pointer to an array to be filled by hashfp. + * In: pubkey: pointer to a secp256k1_pubkey containing an initialized public key. + * seckey: a 32-byte scalar with which to multiply the point. + * hashfp: pointer to a hash function. If NULL, + * secp256k1_ecdh_hash_function_sha256 is used + * (in which case, 32 bytes will be written to output). * data: arbitrary data pointer that is passed through to hashfp + * (can be NULL for secp256k1_ecdh_hash_function_sha256). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output, const secp256k1_pubkey *pubkey, - const unsigned char *privkey, + const unsigned char *seckey, secp256k1_ecdh_hash_function hashfp, void *data ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); diff --git a/src/secp256k1/include/secp256k1_ellswift.h b/src/secp256k1/include/secp256k1_ellswift.h new file mode 100644 index 00000000..0d1293e9 --- /dev/null +++ b/src/secp256k1/include/secp256k1_ellswift.h @@ -0,0 +1,200 @@ +#ifndef SECP256K1_ELLSWIFT_H +#define SECP256K1_ELLSWIFT_H + +#include "secp256k1.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* This module provides an implementation of ElligatorSwift as well as a + * version of x-only ECDH using it (including compatibility with BIP324). + * + * ElligatorSwift is described in https://eprint.iacr.org/2022/759 by + * Chavez-Saab, Rodriguez-Henriquez, and Tibouchi. It permits encoding + * uniformly chosen public keys as 64-byte arrays which are indistinguishable + * from uniformly random arrays. + * + * Let f be the function from pairs of field elements to point X coordinates, + * defined as follows (all operations modulo p = 2^256 - 2^32 - 977) + * f(u,t): + * - Let C = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852, + * a square root of -3. + * - If u=0, set u=1 instead. + * - If t=0, set t=1 instead. + * - If u^3 + t^2 + 7 = 0, multiply t by 2. + * - Let X = (u^3 + 7 - t^2) / (2 * t) + * - Let Y = (X + t) / (C * u) + * - Return the first in [u + 4 * Y^2, (-X/Y - u) / 2, (X/Y - u) / 2] that is an + * X coordinate on the curve (at least one of them is, for any u and t). + * + * Then an ElligatorSwift encoding of x consists of the 32-byte big-endian + * encodings of field elements u and t concatenated, where f(u,t) = x. + * The encoding algorithm is described in the paper, and effectively picks a + * uniformly random pair (u,t) among those which encode x. + * + * If the Y coordinate is relevant, it is given the same parity as t. + * + * Changes w.r.t. the paper: + * - The u=0, t=0, and u^3+t^2+7=0 conditions result in decoding to the point + * at infinity in the paper. Here they are remapped to finite points. + * - The paper uses an additional encoding bit for the parity of y. Here the + * parity of t is used (negating t does not affect the decoded x coordinate, + * so this is possible). + * + * For mathematical background about the scheme, see the doc/ellswift.md file. + */ + +/** A pointer to a function used by secp256k1_ellswift_xdh to hash the shared X + * coordinate along with the encoded public keys to a uniform shared secret. + * + * Returns: 1 if a shared secret was successfully computed. + * 0 will cause secp256k1_ellswift_xdh to fail and return 0. + * Other return values are not allowed, and the behaviour of + * secp256k1_ellswift_xdh is undefined for other return values. + * Out: output: pointer to an array to be filled by the function + * In: x32: pointer to the 32-byte serialized X coordinate + * of the resulting shared point (will not be NULL) + * ell_a64: pointer to the 64-byte encoded public key of party A + * (will not be NULL) + * ell_b64: pointer to the 64-byte encoded public key of party B + * (will not be NULL) + * data: arbitrary data pointer that is passed through + */ +typedef int (*secp256k1_ellswift_xdh_hash_function)( + unsigned char *output, + const unsigned char *x32, + const unsigned char *ell_a64, + const unsigned char *ell_b64, + void *data +); + +/** An implementation of an secp256k1_ellswift_xdh_hash_function which uses + * SHA256(prefix64 || ell_a64 || ell_b64 || x32), where prefix64 is the 64-byte + * array pointed to by data. */ +SECP256K1_API const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_prefix; + +/** An implementation of an secp256k1_ellswift_xdh_hash_function compatible with + * BIP324. It returns H_tag(ell_a64 || ell_b64 || x32), where H_tag is the + * BIP340 tagged hash function with tag "bip324_ellswift_xonly_ecdh". Equivalent + * to secp256k1_ellswift_xdh_hash_function_prefix with prefix64 set to + * SHA256("bip324_ellswift_xonly_ecdh")||SHA256("bip324_ellswift_xonly_ecdh"). + * The data argument is ignored. */ +SECP256K1_API const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_bip324; + +/** Construct a 64-byte ElligatorSwift encoding of a given pubkey. + * + * Returns: 1 always. + * Args: ctx: pointer to a context object + * Out: ell64: pointer to a 64-byte array to be filled + * In: pubkey: pointer to a secp256k1_pubkey containing an + * initialized public key + * rnd32: pointer to 32 bytes of randomness + * + * It is recommended that rnd32 consists of 32 uniformly random bytes, not + * known to any adversary trying to detect whether public keys are being + * encoded, though 16 bytes of randomness (padded to an array of 32 bytes, + * e.g., with zeros) suffice to make the result indistinguishable from + * uniform. The randomness in rnd32 must not be a deterministic function of + * the pubkey (it can be derived from the private key, though). + * + * It is not guaranteed that the computed encoding is stable across versions + * of the library, even if all arguments to this function (including rnd32) + * are the same. + * + * This function runs in variable time. + */ +SECP256K1_API int secp256k1_ellswift_encode( + const secp256k1_context *ctx, + unsigned char *ell64, + const secp256k1_pubkey *pubkey, + const unsigned char *rnd32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Decode a 64-bytes ElligatorSwift encoded public key. + * + * Returns: always 1 + * Args: ctx: pointer to a context object + * Out: pubkey: pointer to a secp256k1_pubkey that will be filled + * In: ell64: pointer to a 64-byte array to decode + * + * This function runs in variable time. + */ +SECP256K1_API int secp256k1_ellswift_decode( + const secp256k1_context *ctx, + secp256k1_pubkey *pubkey, + const unsigned char *ell64 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Compute an ElligatorSwift public key for a secret key. + * + * Returns: 1: secret was valid, public key was stored. + * 0: secret was invalid, try again. + * Args: ctx: pointer to a context object + * Out: ell64: pointer to a 64-byte array to receive the ElligatorSwift + * public key + * In: seckey32: pointer to a 32-byte secret key + * auxrnd32: (optional) pointer to 32 bytes of randomness + * + * Constant time in seckey and auxrnd32, but not in the resulting public key. + * + * It is recommended that auxrnd32 contains 32 uniformly random bytes, though + * it is optional (and does result in encodings that are indistinguishable from + * uniform even without any auxrnd32). It differs from the (mandatory) rnd32 + * argument to secp256k1_ellswift_encode in this regard. + * + * This function can be used instead of calling secp256k1_ec_pubkey_create + * followed by secp256k1_ellswift_encode. It is safer, as it uses the secret + * key as entropy for the encoding (supplemented with auxrnd32, if provided). + * + * Like secp256k1_ellswift_encode, this function does not guarantee that the + * computed encoding is stable across versions of the library, even if all + * arguments (including auxrnd32) are the same. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ellswift_create( + const secp256k1_context *ctx, + unsigned char *ell64, + const unsigned char *seckey32, + const unsigned char *auxrnd32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Given a private key, and ElligatorSwift public keys sent in both directions, + * compute a shared secret using x-only Elliptic Curve Diffie-Hellman (ECDH). + * + * Returns: 1: shared secret was successfully computed + * 0: secret was invalid or hashfp returned 0 + * Args: ctx: pointer to a context object. + * Out: output: pointer to an array to be filled by hashfp. + * In: ell_a64: pointer to the 64-byte encoded public key of party A + * (will not be NULL) + * ell_b64: pointer to the 64-byte encoded public key of party B + * (will not be NULL) + * seckey32: pointer to our 32-byte secret key + * party: boolean indicating which party we are: zero if we are + * party A, non-zero if we are party B. seckey32 must be + * the private key corresponding to that party's ell_?64. + * This correspondence is not checked. + * hashfp: pointer to a hash function. + * data: arbitrary data pointer passed through to hashfp. + * + * Constant time in seckey32. + * + * This function is more efficient than decoding the public keys, and performing + * ECDH on them. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ellswift_xdh( + const secp256k1_context *ctx, + unsigned char *output, + const unsigned char *ell_a64, + const unsigned char *ell_b64, + const unsigned char *seckey32, + int party, + secp256k1_ellswift_xdh_hash_function hashfp, + void *data +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(7); + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_ELLSWIFT_H */ diff --git a/src/secp256k1/include/secp256k1_extrakeys.h b/src/secp256k1/include/secp256k1_extrakeys.h new file mode 100644 index 00000000..48c98693 --- /dev/null +++ b/src/secp256k1/include/secp256k1_extrakeys.h @@ -0,0 +1,250 @@ +#ifndef SECP256K1_EXTRAKEYS_H +#define SECP256K1_EXTRAKEYS_H + +#include "secp256k1.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/** Opaque data structure that holds a parsed and valid "x-only" public key. + * An x-only pubkey encodes a point whose Y coordinate is even. It is + * serialized using only its X coordinate (32 bytes). See BIP-340 for more + * information about x-only pubkeys. + * + * The exact representation of data inside is implementation defined and not + * guaranteed to be portable between different platforms or versions. It is + * however guaranteed to be 64 bytes in size, and can be safely copied/moved. + * If you need to convert to a format suitable for storage, transmission, use + * use secp256k1_xonly_pubkey_serialize and secp256k1_xonly_pubkey_parse. To + * compare keys, use secp256k1_xonly_pubkey_cmp. + */ +typedef struct secp256k1_xonly_pubkey { + unsigned char data[64]; +} secp256k1_xonly_pubkey; + +/** Opaque data structure that holds a keypair consisting of a secret and a + * public key. + * + * The exact representation of data inside is implementation defined and not + * guaranteed to be portable between different platforms or versions. It is + * however guaranteed to be 96 bytes in size, and can be safely copied/moved. + */ +typedef struct secp256k1_keypair { + unsigned char data[96]; +} secp256k1_keypair; + +/** Parse a 32-byte sequence into a xonly_pubkey object. + * + * Returns: 1 if the public key was fully valid. + * 0 if the public key could not be parsed or is invalid. + * + * Args: ctx: pointer to a context object. + * Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a + * parsed version of input. If not, it's set to an invalid value. + * In: input32: pointer to a serialized xonly_pubkey. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse( + const secp256k1_context *ctx, + secp256k1_xonly_pubkey *pubkey, + const unsigned char *input32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize an xonly_pubkey object into a 32-byte sequence. + * + * Returns: 1 always. + * + * Args: ctx: pointer to a context object. + * Out: output32: pointer to a 32-byte array to place the serialized key in. + * In: pubkey: pointer to a secp256k1_xonly_pubkey containing an initialized public key. + */ +SECP256K1_API int secp256k1_xonly_pubkey_serialize( + const secp256k1_context *ctx, + unsigned char *output32, + const secp256k1_xonly_pubkey *pubkey +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Compare two x-only public keys using lexicographic order + * + * Returns: <0 if the first public key is less than the second + * >0 if the first public key is greater than the second + * 0 if the two public keys are equal + * Args: ctx: pointer to a context object. + * In: pubkey1: first public key to compare + * pubkey2: second public key to compare + */ +SECP256K1_API int secp256k1_xonly_pubkey_cmp( + const secp256k1_context *ctx, + const secp256k1_xonly_pubkey *pk1, + const secp256k1_xonly_pubkey *pk2 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Converts a secp256k1_pubkey into a secp256k1_xonly_pubkey. + * + * Returns: 1 always. + * + * Args: ctx: pointer to a context object. + * Out: xonly_pubkey: pointer to an x-only public key object for placing the converted public key. + * pk_parity: Ignored if NULL. Otherwise, pointer to an integer that + * will be set to 1 if the point encoded by xonly_pubkey is + * the negation of the pubkey and set to 0 otherwise. + * In: pubkey: pointer to a public key that is converted. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubkey( + const secp256k1_context *ctx, + secp256k1_xonly_pubkey *xonly_pubkey, + int *pk_parity, + const secp256k1_pubkey *pubkey +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4); + +/** Tweak an x-only public key by adding the generator multiplied with tweak32 + * to it. + * + * Note that the resulting point can not in general be represented by an x-only + * pubkey because it may have an odd Y coordinate. Instead, the output_pubkey + * is a normal secp256k1_pubkey. + * + * Returns: 0 if the arguments are invalid or the resulting public key would be + * invalid (only when the tweak is the negation of the corresponding + * secret key). 1 otherwise. + * + * Args: ctx: pointer to a context object. + * Out: output_pubkey: pointer to a public key to store the result. Will be set + * to an invalid value if this function returns 0. + * In: internal_pubkey: pointer to an x-only pubkey to apply the tweak to. + * tweak32: pointer to a 32-byte tweak, which must be valid + * according to secp256k1_ec_seckey_verify or 32 zero + * bytes. For uniformly random 32-byte tweaks, the chance of + * being invalid is negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add( + const secp256k1_context *ctx, + secp256k1_pubkey *output_pubkey, + const secp256k1_xonly_pubkey *internal_pubkey, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Checks that a tweaked pubkey is the result of calling + * secp256k1_xonly_pubkey_tweak_add with internal_pubkey and tweak32. + * + * The tweaked pubkey is represented by its 32-byte x-only serialization and + * its pk_parity, which can both be obtained by converting the result of + * tweak_add to a secp256k1_xonly_pubkey. + * + * Note that this alone does _not_ verify that the tweaked pubkey is a + * commitment. If the tweak is not chosen in a specific way, the tweaked pubkey + * can easily be the result of a different internal_pubkey and tweak. + * + * Returns: 0 if the arguments are invalid or the tweaked pubkey is not the + * result of tweaking the internal_pubkey with tweak32. 1 otherwise. + * Args: ctx: pointer to a context object. + * In: tweaked_pubkey32: pointer to a serialized xonly_pubkey. + * tweaked_pk_parity: the parity of the tweaked pubkey (whose serialization + * is passed in as tweaked_pubkey32). This must match the + * pk_parity value that is returned when calling + * secp256k1_xonly_pubkey with the tweaked pubkey, or + * this function will fail. + * internal_pubkey: pointer to an x-only public key object to apply the tweak to. + * tweak32: pointer to a 32-byte tweak. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_check( + const secp256k1_context *ctx, + const unsigned char *tweaked_pubkey32, + int tweaked_pk_parity, + const secp256k1_xonly_pubkey *internal_pubkey, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5); + +/** Compute the keypair for a valid secret key. + * + * See the documentation of `secp256k1_ec_seckey_verify` for more information + * about the validity of secret keys. + * + * Returns: 1: secret key is valid + * 0: secret key is invalid + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: keypair: pointer to the created keypair. + * In: seckey: pointer to a 32-byte secret key. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create( + const secp256k1_context *ctx, + secp256k1_keypair *keypair, + const unsigned char *seckey +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Get the secret key from a keypair. + * + * Returns: 1 always. + * Args: ctx: pointer to a context object. + * Out: seckey: pointer to a 32-byte buffer for the secret key. + * In: keypair: pointer to a keypair. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec( + const secp256k1_context *ctx, + unsigned char *seckey, + const secp256k1_keypair *keypair +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Get the public key from a keypair. + * + * Returns: 1 always. + * Args: ctx: pointer to a context object. + * Out: pubkey: pointer to a pubkey object, set to the keypair public key. + * In: keypair: pointer to a keypair. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub( + const secp256k1_context *ctx, + secp256k1_pubkey *pubkey, + const secp256k1_keypair *keypair +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Get the x-only public key from a keypair. + * + * This is the same as calling secp256k1_keypair_pub and then + * secp256k1_xonly_pubkey_from_pubkey. + * + * Returns: 1 always. + * Args: ctx: pointer to a context object. + * Out: pubkey: pointer to an xonly_pubkey object, set to the keypair + * public key after converting it to an xonly_pubkey. + * pk_parity: Ignored if NULL. Otherwise, pointer to an integer that will be set to the + * pk_parity argument of secp256k1_xonly_pubkey_from_pubkey. + * In: keypair: pointer to a keypair. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub( + const secp256k1_context *ctx, + secp256k1_xonly_pubkey *pubkey, + int *pk_parity, + const secp256k1_keypair *keypair +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4); + +/** Tweak a keypair by adding tweak32 to the secret key and updating the public + * key accordingly. + * + * Calling this function and then secp256k1_keypair_pub results in the same + * public key as calling secp256k1_keypair_xonly_pub and then + * secp256k1_xonly_pubkey_tweak_add. + * + * Returns: 0 if the arguments are invalid or the resulting keypair would be + * invalid (only when the tweak is the negation of the keypair's + * secret key). 1 otherwise. + * + * Args: ctx: pointer to a context object. + * In/Out: keypair: pointer to a keypair to apply the tweak to. Will be set to + * an invalid value if this function returns 0. + * In: tweak32: pointer to a 32-byte tweak, which must be valid according to + * secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly + * random 32-byte tweaks, the chance of being invalid is + * negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_tweak_add( + const secp256k1_context *ctx, + secp256k1_keypair *keypair, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_EXTRAKEYS_H */ diff --git a/src/secp256k1/include/secp256k1_multiset.h b/src/secp256k1/include/secp256k1_multiset.h deleted file mode 100644 index 1505d0d0..00000000 --- a/src/secp256k1/include/secp256k1_multiset.h +++ /dev/null @@ -1,157 +0,0 @@ -/********************************************************************** - * Copyright (c) 2017 Tomas van der Wansem * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - - -#ifndef _SECP256K1_MULTISET__ -# define _SECP256K1_MULTISET__ - -# include "secp256k1.h" - - -# ifdef __cplusplus -extern "C" { -# endif - - -/** Opaque multiset; this is actually a group element **/ -typedef struct { - unsigned char d[96]; -} secp256k1_multiset; - - - -/** Initialize a multiset. - * The resulting multiset is the multiset for no data elements (is empty). - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: multiset: the resulting multiset - */ -SECP256K1_API int secp256k1_multiset_init( - const secp256k1_context* ctx, - secp256k1_multiset *multiset -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); - - -/** Adds an element to a multiset - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: multiset: the multiset to update - * In: input: the data to add - * inputLen: the size of the data to add - */ -SECP256K1_API int secp256k1_multiset_add( - const secp256k1_context* ctx, - secp256k1_multiset *multiset, - const unsigned char *input, - size_t inputLen -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - - -/** Removes an element from a multiset - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: multiset: the multiset to update - * In: input: the data to remove - * inputLen: the size of the data to remove - */ -SECP256K1_API int secp256k1_multiset_remove( - const secp256k1_context* ctx, - secp256k1_multiset *multiset, - const unsigned char *input, - size_t inputLen -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - - -/** Combines two multisets - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * In/Out: multiset: the multiset to which the input must be added - * In: input: the multiset to add - */ -SECP256K1_API int secp256k1_multiset_combine( - const secp256k1_context* ctx, - secp256k1_multiset *multiset, - const secp256k1_multiset *input -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - - -/** Converts a multiset to a hash - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: hash: the resulting 32-byte hash - * In: multiset: the multiset to hash - */ -SECP256K1_API int secp256k1_multiset_finalize( - const secp256k1_context* ctx, - unsigned char *resultHash, - const secp256k1_multiset *multiset -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - - -/** Check if a multiset is empty - * - * Returns: 1: the multiset is empty - * 0: the multiset is not empty - * Args: ctx: pointer to a context object (cannot be NULL) - * In: multiset: the multiset (cannot be NULL) - */ -SECP256K1_API int secp256k1_multiset_is_empty( - const secp256k1_context* ctx, - const secp256k1_multiset *multiset -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); - - -/** Convert a multiset to a serialized 33-byte compressed pubkey - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: output: pointer to a 33-byte buffer to store the serialized - * pubkey; if the set is empty the pubkey will be - * be 33 bytes of all zeroes (cannot be NULL) - * In: multiset: the multiset from which to extract the pubkey (cannot be - * NULL) - */ -SECP256K1_API int secp256k1_multiset_serialize( - const secp256k1_context* ctx, - unsigned char *output, - const secp256k1_multiset *multiset -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - - -/** Parse a 33-byte serialized compressed public key into a multiset object - * - * Returns: 1: success - * 0: invalid parameter - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: multiset: the multiset result (cannot be NULL) - * In: input: pointer to a 33-byte buffer storing the serialized - * pubkey; if the buffer starts with 0x0, the multiset - * will start out empty (cannot be NULL) - */ -SECP256K1_API int secp256k1_multiset_parse( - const secp256k1_context* ctx, - secp256k1_multiset *multiset, - const unsigned char *input -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - - - -# ifdef __cplusplus -} -# endif - -#endif diff --git a/src/secp256k1/include/secp256k1_musig.h b/src/secp256k1/include/secp256k1_musig.h new file mode 100644 index 00000000..11b8f08c --- /dev/null +++ b/src/secp256k1/include/secp256k1_musig.h @@ -0,0 +1,588 @@ +#ifndef SECP256K1_MUSIG_H +#define SECP256K1_MUSIG_H + +#include "secp256k1_extrakeys.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#include +#include + +/** This module implements BIP 327 "MuSig2 for BIP340-compatible + * Multi-Signatures" + * (https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki) + * v1.0.0. You can find an example demonstrating the musig module in + * examples/musig.c. + * + * The module also supports BIP 341 ("Taproot") public key tweaking. + * + * It is recommended to read the documentation in this include file carefully. + * Further notes on API usage can be found in doc/musig.md + * + * Since the first version of MuSig is essentially replaced by MuSig2, we use + * MuSig, musig and MuSig2 synonymously unless noted otherwise. + */ + +/** Opaque data structures + * + * The exact representation of data inside the opaque data structures is + * implementation defined and not guaranteed to be portable between different + * platforms or versions. With the exception of `secp256k1_musig_secnonce`, the + * data structures can be safely copied/moved. If you need to convert to a + * format suitable for storage, transmission, or comparison, use the + * corresponding serialization and parsing functions. + */ + +/** Opaque data structure that caches information about public key aggregation. + * + * Guaranteed to be 197 bytes in size. No serialization and parsing functions + * (yet). + */ +typedef struct secp256k1_musig_keyagg_cache { + unsigned char data[197]; +} secp256k1_musig_keyagg_cache; + +/** Opaque data structure that holds a signer's _secret_ nonce. + * + * Guaranteed to be 132 bytes in size. + * + * WARNING: This structure MUST NOT be copied or read or written to directly. A + * signer who is online throughout the whole process and can keep this + * structure in memory can use the provided API functions for a safe standard + * workflow. + * + * Copying this data structure can result in nonce reuse which will leak the + * secret signing key. + */ +typedef struct secp256k1_musig_secnonce { + unsigned char data[132]; +} secp256k1_musig_secnonce; + +/** Opaque data structure that holds a signer's public nonce. + * + * Guaranteed to be 132 bytes in size. Serialized and parsed with + * `musig_pubnonce_serialize` and `musig_pubnonce_parse`. + */ +typedef struct secp256k1_musig_pubnonce { + unsigned char data[132]; +} secp256k1_musig_pubnonce; + +/** Opaque data structure that holds an aggregate public nonce. + * + * Guaranteed to be 132 bytes in size. Serialized and parsed with + * `musig_aggnonce_serialize` and `musig_aggnonce_parse`. + */ +typedef struct secp256k1_musig_aggnonce { + unsigned char data[132]; +} secp256k1_musig_aggnonce; + +/** Opaque data structure that holds a MuSig session. + * + * This structure is not required to be kept secret for the signing protocol to + * be secure. Guaranteed to be 133 bytes in size. No serialization and parsing + * functions (yet). + */ +typedef struct secp256k1_musig_session { + unsigned char data[133]; +} secp256k1_musig_session; + +/** Opaque data structure that holds a partial MuSig signature. + * + * Guaranteed to be 36 bytes in size. Serialized and parsed with + * `musig_partial_sig_serialize` and `musig_partial_sig_parse`. + */ +typedef struct secp256k1_musig_partial_sig { + unsigned char data[36]; +} secp256k1_musig_partial_sig; + +/** Parse a signer's public nonce. + * + * Returns: 1 when the nonce could be parsed, 0 otherwise. + * Args: ctx: pointer to a context object + * Out: nonce: pointer to a nonce object + * In: in66: pointer to the 66-byte nonce to be parsed + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubnonce_parse( + const secp256k1_context *ctx, + secp256k1_musig_pubnonce *nonce, + const unsigned char *in66 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize a signer's public nonce + * + * Returns: 1 always + * Args: ctx: pointer to a context object + * Out: out66: pointer to a 66-byte array to store the serialized nonce + * In: nonce: pointer to the nonce + */ +SECP256K1_API int secp256k1_musig_pubnonce_serialize( + const secp256k1_context *ctx, + unsigned char *out66, + const secp256k1_musig_pubnonce *nonce +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Parse an aggregate public nonce. + * + * Returns: 1 when the nonce could be parsed, 0 otherwise. + * Args: ctx: pointer to a context object + * Out: nonce: pointer to a nonce object + * In: in66: pointer to the 66-byte nonce to be parsed + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_aggnonce_parse( + const secp256k1_context *ctx, + secp256k1_musig_aggnonce *nonce, + const unsigned char *in66 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize an aggregate public nonce + * + * Returns: 1 always + * Args: ctx: pointer to a context object + * Out: out66: pointer to a 66-byte array to store the serialized nonce + * In: nonce: pointer to the nonce + */ +SECP256K1_API int secp256k1_musig_aggnonce_serialize( + const secp256k1_context *ctx, + unsigned char *out66, + const secp256k1_musig_aggnonce *nonce +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Parse a MuSig partial signature. + * + * Returns: 1 when the signature could be parsed, 0 otherwise. + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: in32: pointer to the 32-byte signature to be parsed + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_parse( + const secp256k1_context *ctx, + secp256k1_musig_partial_sig *sig, + const unsigned char *in32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize a MuSig partial signature + * + * Returns: 1 always + * Args: ctx: pointer to a context object + * Out: out32: pointer to a 32-byte array to store the serialized signature + * In: sig: pointer to the signature + */ +SECP256K1_API int secp256k1_musig_partial_sig_serialize( + const secp256k1_context *ctx, + unsigned char *out32, + const secp256k1_musig_partial_sig *sig +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Computes an aggregate public key and uses it to initialize a keyagg_cache + * + * Different orders of `pubkeys` result in different `agg_pk`s. + * + * Before aggregating, the pubkeys can be sorted with `secp256k1_ec_pubkey_sort` + * which ensures the same `agg_pk` result for the same multiset of pubkeys. + * This is useful to do before `pubkey_agg`, such that the order of pubkeys + * does not affect the aggregate public key. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: agg_pk: the MuSig-aggregated x-only public key. If you do not need it, + * this arg can be NULL. + * keyagg_cache: if non-NULL, pointer to a musig_keyagg_cache struct that + * is required for signing (or observing the signing session + * and verifying partial signatures). + * In: pubkeys: input array of pointers to public keys to aggregate. The order + * is important; a different order will result in a different + * aggregate public key. + * n_pubkeys: length of pubkeys array. Must be greater than 0. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_agg( + const secp256k1_context *ctx, + secp256k1_xonly_pubkey *agg_pk, + secp256k1_musig_keyagg_cache *keyagg_cache, + const secp256k1_pubkey * const *pubkeys, + size_t n_pubkeys +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(4); + +/** Obtain the aggregate public key from a keyagg_cache. + * + * This is only useful if you need the non-xonly public key, in particular for + * plain (non-xonly) tweaking or batch-verifying multiple key aggregations + * (not implemented). + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: agg_pk: the MuSig-aggregated public key. + * In: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by + * `musig_pubkey_agg` + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_get( + const secp256k1_context *ctx, + secp256k1_pubkey *agg_pk, + const secp256k1_musig_keyagg_cache *keyagg_cache +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Apply plain "EC" tweaking to a public key in a given keyagg_cache by adding + * the generator multiplied with `tweak32` to it. This is useful for deriving + * child keys from an aggregate public key via BIP 32 where `tweak32` is set to + * a hash as defined in BIP 32. + * + * Callers are responsible for deriving `tweak32` in a way that does not reduce + * the security of MuSig (for example, by following BIP 32). + * + * The tweaking method is the same as `secp256k1_ec_pubkey_tweak_add`. So after + * the following pseudocode buf and buf2 have identical contents (absent + * earlier failures). + * + * secp256k1_musig_pubkey_agg(..., keyagg_cache, pubkeys, ...) + * secp256k1_musig_pubkey_get(..., agg_pk, keyagg_cache) + * secp256k1_musig_pubkey_ec_tweak_add(..., output_pk, tweak32, keyagg_cache) + * secp256k1_ec_pubkey_serialize(..., buf, ..., output_pk, ...) + * secp256k1_ec_pubkey_tweak_add(..., agg_pk, tweak32) + * secp256k1_ec_pubkey_serialize(..., buf2, ..., agg_pk, ...) + * + * This function is required if you want to _sign_ for a tweaked aggregate key. + * If you are only computing a public key but not intending to create a + * signature for it, use `secp256k1_ec_pubkey_tweak_add` instead. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: output_pubkey: pointer to a public key to store the result. Will be set + * to an invalid value if this function returns 0. If you + * do not need it, this arg can be NULL. + * In/Out: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by + * `musig_pubkey_agg` + * In: tweak32: pointer to a 32-byte tweak. The tweak is valid if it passes + * `secp256k1_ec_seckey_verify` and is not equal to the + * secret key corresponding to the public key represented + * by keyagg_cache or its negation. For uniformly random + * 32-byte arrays the chance of being invalid is + * negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_ec_tweak_add( + const secp256k1_context *ctx, + secp256k1_pubkey *output_pubkey, + secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Apply x-only tweaking to a public key in a given keyagg_cache by adding the + * generator multiplied with `tweak32` to it. This is useful for creating + * Taproot outputs where `tweak32` is set to a TapTweak hash as defined in BIP + * 341. + * + * Callers are responsible for deriving `tweak32` in a way that does not reduce + * the security of MuSig (for example, by following Taproot BIP 341). + * + * The tweaking method is the same as `secp256k1_xonly_pubkey_tweak_add`. So in + * the following pseudocode xonly_pubkey_tweak_add_check (absent earlier + * failures) returns 1. + * + * secp256k1_musig_pubkey_agg(..., agg_pk, keyagg_cache, pubkeys, ...) + * secp256k1_musig_pubkey_xonly_tweak_add(..., output_pk, keyagg_cache, tweak32) + * secp256k1_xonly_pubkey_serialize(..., buf, output_pk) + * secp256k1_xonly_pubkey_tweak_add_check(..., buf, ..., agg_pk, tweak32) + * + * This function is required if you want to _sign_ for a tweaked aggregate key. + * If you are only computing a public key but not intending to create a + * signature for it, use `secp256k1_xonly_pubkey_tweak_add` instead. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: output_pubkey: pointer to a public key to store the result. Will be set + * to an invalid value if this function returns 0. If you + * do not need it, this arg can be NULL. + * In/Out: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by + * `musig_pubkey_agg` + * In: tweak32: pointer to a 32-byte tweak. The tweak is valid if it passes + * `secp256k1_ec_seckey_verify` and is not equal to the + * secret key corresponding to the public key represented + * by keyagg_cache or its negation. For uniformly random + * 32-byte arrays the chance of being invalid is + * negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_xonly_tweak_add( + const secp256k1_context *ctx, + secp256k1_pubkey *output_pubkey, + secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Starts a signing session by generating a nonce + * + * This function outputs a secret nonce that will be required for signing and a + * corresponding public nonce that is intended to be sent to other signers. + * + * MuSig differs from regular Schnorr signing in that implementers _must_ take + * special care to not reuse a nonce. This can be ensured by following these rules: + * + * 1. Each call to this function must have a UNIQUE session_secrand32 that must + * NOT BE REUSED in subsequent calls to this function and must be KEPT + * SECRET (even from other signers). + * 2. If you already know the seckey, message or aggregate public key + * cache, they can be optionally provided to derive the nonce and increase + * misuse-resistance. The extra_input32 argument can be used to provide + * additional data that does not repeat in normal scenarios, such as the + * current time. + * 3. Avoid copying (or serializing) the secnonce. This reduces the possibility + * that it is used more than once for signing. + * + * If you don't have access to good randomness for session_secrand32, but you + * have access to a non-repeating counter, then see + * secp256k1_musig_nonce_gen_counter. + * + * Remember that nonce reuse will leak the secret key! + * Note that using the same seckey for multiple MuSig sessions is fine. + * + * Returns: 0 if the arguments are invalid and 1 otherwise + * Args: ctx: pointer to a context object (not secp256k1_context_static) + * Out: secnonce: pointer to a structure to store the secret nonce + * pubnonce: pointer to a structure to store the public nonce + * In/Out: + * session_secrand32: a 32-byte session_secrand32 as explained above. Must be unique to this + * call to secp256k1_musig_nonce_gen and must be uniformly + * random. If the function call is successful, the + * session_secrand32 buffer is invalidated to prevent reuse. + * In: + * seckey: the 32-byte secret key that will later be used for signing, if + * already known (can be NULL) + * pubkey: public key of the signer creating the nonce. The secnonce + * output of this function cannot be used to sign for any + * other public key. While the public key should correspond + * to the provided seckey, a mismatch will not cause the + * function to return 0. + * msg32: the 32-byte message that will later be signed, if already known + * (can be NULL) + * keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate + * (and potentially tweaked) public key if already known + * (can be NULL) + * extra_input32: an optional 32-byte array that is input to the nonce + * derivation function (can be NULL) + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen( + const secp256k1_context *ctx, + secp256k1_musig_secnonce *secnonce, + secp256k1_musig_pubnonce *pubnonce, + unsigned char *session_secrand32, + const unsigned char *seckey, + const secp256k1_pubkey *pubkey, + const unsigned char *msg32, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *extra_input32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(6); + + +/** Alternative way to generate a nonce and start a signing session + * + * This function outputs a secret nonce that will be required for signing and a + * corresponding public nonce that is intended to be sent to other signers. + * + * This function differs from `secp256k1_musig_nonce_gen` by accepting a + * non-repeating counter value instead of a secret random value. This requires + * that a secret key is provided to `secp256k1_musig_nonce_gen_counter` + * (through the keypair argument), as opposed to `secp256k1_musig_nonce_gen` + * where the seckey argument is optional. + * + * MuSig differs from regular Schnorr signing in that implementers _must_ take + * special care to not reuse a nonce. This can be ensured by following these rules: + * + * 1. The nonrepeating_cnt argument must be a counter value that never repeats, + * i.e., you must never call `secp256k1_musig_nonce_gen_counter` twice with + * the same keypair and nonrepeating_cnt value. For example, this implies + * that if the same keypair is used with `secp256k1_musig_nonce_gen_counter` + * on multiple devices, none of the devices should have the same counter + * value as any other device. + * 2. If the seckey, message or aggregate public key cache is already available + * at this stage, any of these can be optionally provided, in which case + * they will be used in the derivation of the nonce and increase + * misuse-resistance. The extra_input32 argument can be used to provide + * additional data that does not repeat in normal scenarios, such as the + * current time. + * 3. Avoid copying (or serializing) the secnonce. This reduces the possibility + * that it is used more than once for signing. + * + * Remember that nonce reuse will leak the secret key! + * Note that using the same keypair for multiple MuSig sessions is fine. + * + * Returns: 0 if the arguments are invalid and 1 otherwise + * Args: ctx: pointer to a context object (not secp256k1_context_static) + * Out: secnonce: pointer to a structure to store the secret nonce + * pubnonce: pointer to a structure to store the public nonce + * In: + * nonrepeating_cnt: the value of a counter as explained above. Must be + * unique to this call to secp256k1_musig_nonce_gen. + * keypair: keypair of the signer creating the nonce. The secnonce + * output of this function cannot be used to sign for any + * other keypair. + * msg32: the 32-byte message that will later be signed, if already known + * (can be NULL) + * keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate + * (and potentially tweaked) public key if already known + * (can be NULL) + * extra_input32: an optional 32-byte array that is input to the nonce + * derivation function (can be NULL) + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen_counter( + const secp256k1_context *ctx, + secp256k1_musig_secnonce *secnonce, + secp256k1_musig_pubnonce *pubnonce, + uint64_t nonrepeating_cnt, + const secp256k1_keypair *keypair, + const unsigned char *msg32, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *extra_input32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5); + +/** Aggregates the nonces of all signers into a single nonce + * + * This can be done by an untrusted party to reduce the communication + * between signers. Instead of everyone sending nonces to everyone else, there + * can be one party receiving all nonces, aggregating the nonces with this + * function and then sending only the aggregate nonce back to the signers. + * + * If the aggregator does not compute the aggregate nonce correctly, the final + * signature will be invalid. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: aggnonce: pointer to an aggregate public nonce object for + * musig_nonce_process + * In: pubnonces: array of pointers to public nonces sent by the + * signers + * n_pubnonces: number of elements in the pubnonces array. Must be + * greater than 0. + */ +SECP256K1_API int secp256k1_musig_nonce_agg( + const secp256k1_context *ctx, + secp256k1_musig_aggnonce *aggnonce, + const secp256k1_musig_pubnonce * const *pubnonces, + size_t n_pubnonces +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Takes the aggregate nonce and creates a session that is required for signing + * and verification of partial signatures. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: session: pointer to a struct to store the session + * In: aggnonce: pointer to an aggregate public nonce object that is the + * output of musig_nonce_agg + * msg32: the 32-byte message to sign + * keyagg_cache: pointer to the keyagg_cache that was used to create the + * aggregate (and potentially tweaked) pubkey + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_process( + const secp256k1_context *ctx, + secp256k1_musig_session *session, + const secp256k1_musig_aggnonce *aggnonce, + const unsigned char *msg32, + const secp256k1_musig_keyagg_cache *keyagg_cache +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5); + +/** Produces a partial signature + * + * This function overwrites the given secnonce with zeros and will abort if given a + * secnonce that is all zeros. This is a best effort attempt to protect against nonce + * reuse. However, this is of course easily defeated if the secnonce has been + * copied (or serialized). Remember that nonce reuse will leak the secret key! + * + * For signing to succeed, the secnonce provided to this function must have + * been generated for the provided keypair. This means that when signing for a + * keypair consisting of a seckey and pubkey, the secnonce must have been + * created by calling musig_nonce_gen with that pubkey. Otherwise, the + * illegal_callback is called. + * + * This function does not verify the output partial signature, deviating from + * the BIP 327 specification. It is recommended to verify the output partial + * signature with `secp256k1_musig_partial_sig_verify` to prevent random or + * adversarially provoked computation errors. + * + * Returns: 0 if the arguments are invalid or the provided secnonce has already + * been used for signing, 1 otherwise + * Args: ctx: pointer to a context object + * Out: partial_sig: pointer to struct to store the partial signature + * In/Out: secnonce: pointer to the secnonce struct created in + * musig_nonce_gen that has been never used in a + * partial_sign call before and has been created for the + * keypair + * In: keypair: pointer to keypair to sign the message with + * keyagg_cache: pointer to the keyagg_cache that was output when the + * aggregate public key for this session + * session: pointer to the session that was created with + * musig_nonce_process + */ +SECP256K1_API int secp256k1_musig_partial_sign( + const secp256k1_context *ctx, + secp256k1_musig_partial_sig *partial_sig, + secp256k1_musig_secnonce *secnonce, + const secp256k1_keypair *keypair, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const secp256k1_musig_session *session +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6); + +/** Verifies an individual signer's partial signature + * + * The signature is verified for a specific signing session. In order to avoid + * accidentally verifying a signature from a different or non-existing signing + * session, you must ensure the following: + * 1. The `keyagg_cache` argument is identical to the one used to create the + * `session` with `musig_nonce_process`. + * 2. The `pubkey` argument must be identical to the one sent by the signer + * before aggregating it with `musig_pubkey_agg` to create the + * `keyagg_cache`. + * 3. The `pubnonce` argument must be identical to the one sent by the signer + * before aggregating it with `musig_nonce_agg` and using the result to + * create the `session` with `musig_nonce_process`. + * + * It is not required to call this function in regular MuSig sessions, because + * if any partial signature does not verify, the final signature will not + * verify either, so the problem will be caught. However, this function + * provides the ability to identify which specific partial signature fails + * verification. + * + * Returns: 0 if the arguments are invalid or the partial signature does not + * verify, 1 otherwise + * Args ctx: pointer to a context object + * In: partial_sig: pointer to partial signature to verify, sent by + * the signer associated with `pubnonce` and `pubkey` + * pubnonce: public nonce of the signer in the signing session + * pubkey: public key of the signer in the signing session + * keyagg_cache: pointer to the keyagg_cache that was output when the + * aggregate public key for this signing session + * session: pointer to the session that was created with + * `musig_nonce_process` + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_verify( + const secp256k1_context *ctx, + const secp256k1_musig_partial_sig *partial_sig, + const secp256k1_musig_pubnonce *pubnonce, + const secp256k1_pubkey *pubkey, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const secp256k1_musig_session *session +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6); + +/** Aggregates partial signatures + * + * Returns: 0 if the arguments are invalid, 1 otherwise (which does NOT mean + * the resulting signature verifies). + * Args: ctx: pointer to a context object + * Out: sig64: complete (but possibly invalid) Schnorr signature + * In: session: pointer to the session that was created with + * musig_nonce_process + * partial_sigs: array of pointers to partial signatures to aggregate + * n_sigs: number of elements in the partial_sigs array. Must be + * greater than 0. + */ +SECP256K1_API int secp256k1_musig_partial_sig_agg( + const secp256k1_context *ctx, + unsigned char *sig64, + const secp256k1_musig_session *session, + const secp256k1_musig_partial_sig * const *partial_sigs, + size_t n_sigs +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/src/secp256k1/include/secp256k1_preallocated.h b/src/secp256k1/include/secp256k1_preallocated.h index a9ae15d5..f2d95c24 100644 --- a/src/secp256k1/include/secp256k1_preallocated.h +++ b/src/secp256k1/include/secp256k1_preallocated.h @@ -52,17 +52,19 @@ SECP256K1_API size_t secp256k1_context_preallocated_size( * in the memory. In simpler words, the prealloc pointer (or any pointer derived * from it) should not be used during the lifetime of the context object. * - * Returns: a newly created context object. - * In: prealloc: a pointer to a rewritable contiguous block of memory of + * Returns: pointer to newly created context object. + * In: prealloc: pointer to a rewritable contiguous block of memory of * size at least secp256k1_context_preallocated_size(flags) - * bytes, as detailed above (cannot be NULL) + * bytes, as detailed above. * flags: which parts of the context to initialize. * + * See secp256k1_context_create (in secp256k1.h) for further details. + * * See also secp256k1_context_randomize (in secp256k1.h) * and secp256k1_context_preallocated_destroy. */ -SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create( - void* prealloc, +SECP256K1_API secp256k1_context *secp256k1_context_preallocated_create( + void *prealloc, unsigned int flags ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT; @@ -70,10 +72,10 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create( * caller-provided memory. * * Returns: the required size of the caller-provided memory block. - * In: ctx: an existing context to copy (cannot be NULL) + * In: ctx: pointer to a context to copy. */ SECP256K1_API size_t secp256k1_context_preallocated_clone_size( - const secp256k1_context* ctx + const secp256k1_context *ctx ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT; /** Copy a secp256k1 context object into caller-provided memory. @@ -86,15 +88,18 @@ SECP256K1_API size_t secp256k1_context_preallocated_clone_size( * the lifetime of this context object, see the description of * secp256k1_context_preallocated_create for details. * - * Returns: a newly created context object. - * Args: ctx: an existing context to copy (cannot be NULL) - * In: prealloc: a pointer to a rewritable contiguous block of memory of + * Cloning secp256k1_context_static is not possible, and should not be emulated by + * the caller (e.g., using memcpy). Create a new context instead. + * + * Returns: pointer to a newly created context object. + * Args: ctx: pointer to a context to copy (not secp256k1_context_static). + * In: prealloc: pointer to a rewritable contiguous block of memory of * size at least secp256k1_context_preallocated_size(flags) - * bytes, as detailed above (cannot be NULL) + * bytes, as detailed above. */ -SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone( - const secp256k1_context* ctx, - void* prealloc +SECP256K1_API secp256k1_context *secp256k1_context_preallocated_clone( + const secp256k1_context *ctx, + void *prealloc ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_WARN_UNUSED_RESULT; /** Destroy a secp256k1 context object that has been created in @@ -113,13 +118,14 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone( * preallocated pointer given to secp256k1_context_preallocated_create or * secp256k1_context_preallocated_clone. * - * Args: ctx: an existing context to destroy, constructed using + * Args: ctx: pointer to a context to destroy, constructed using * secp256k1_context_preallocated_create or - * secp256k1_context_preallocated_clone (cannot be NULL) + * secp256k1_context_preallocated_clone + * (i.e., not secp256k1_context_static). */ SECP256K1_API void secp256k1_context_preallocated_destroy( - secp256k1_context* ctx -); + secp256k1_context *ctx +) SECP256K1_ARG_NONNULL(1); #ifdef __cplusplus } diff --git a/src/secp256k1/include/secp256k1_recovery.h b/src/secp256k1/include/secp256k1_recovery.h index cf6c5ed7..93a2e4cc 100644 --- a/src/secp256k1/include/secp256k1_recovery.h +++ b/src/secp256k1/include/secp256k1_recovery.h @@ -7,7 +7,7 @@ extern "C" { #endif -/** Opaque data structured that holds a parsed ECDSA signature, +/** Opaque data structure that holds a parsed ECDSA signature, * supporting pubkey recovery. * * The exact representation of data inside is implementation defined and not @@ -21,21 +21,21 @@ extern "C" { * recoverability) will have identical representation, so they can be * memcmp'ed. */ -typedef struct { +typedef struct secp256k1_ecdsa_recoverable_signature { unsigned char data[65]; } secp256k1_ecdsa_recoverable_signature; /** Parse a compact ECDSA signature (64 bytes + recovery id). * * Returns: 1 when the signature could be parsed, 0 otherwise - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input64: a pointer to a 64-byte compact signature + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: input64: pointer to a 64-byte compact signature * recid: the recovery id (0, 1, 2 or 3) */ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact( - const secp256k1_context* ctx, - secp256k1_ecdsa_recoverable_signature* sig, + const secp256k1_context *ctx, + secp256k1_ecdsa_recoverable_signature *sig, const unsigned char *input64, int recid ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -43,45 +43,48 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact( /** Convert a recoverable signature into a normal signature. * * Returns: 1 - * Out: sig: a pointer to a normal signature (cannot be NULL). - * In: sigin: a pointer to a recoverable signature (cannot be NULL). + * Args: ctx: pointer to a context object. + * Out: sig: pointer to a normal signature. + * In: sigin: pointer to a recoverable signature. */ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, - const secp256k1_ecdsa_recoverable_signature* sigin + const secp256k1_context *ctx, + secp256k1_ecdsa_signature *sig, + const secp256k1_ecdsa_recoverable_signature *sigin ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Serialize an ECDSA signature in compact format (64 bytes + recovery id). * * Returns: 1 - * Args: ctx: a secp256k1 context object - * Out: output64: a pointer to a 64-byte array of the compact signature (cannot be NULL) - * recid: a pointer to an integer to hold the recovery id (can be NULL). - * In: sig: a pointer to an initialized signature object (cannot be NULL) + * Args: ctx: pointer to a context object. + * Out: output64: pointer to a 64-byte array of the compact signature. + * recid: pointer to an integer to hold the recovery id. + * In: sig: pointer to an initialized signature object. */ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output64, int *recid, - const secp256k1_ecdsa_recoverable_signature* sig + const secp256k1_ecdsa_recoverable_signature *sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); /** Create a recoverable ECDSA signature. * * Returns: 1: signature created - * 0: the nonce generation function failed, or the private key was invalid. - * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL) - * Out: sig: pointer to an array where the signature will be placed (cannot be NULL) - * In: msg32: the 32-byte message hash being signed (cannot be NULL) - * seckey: pointer to a 32-byte secret key (cannot be NULL) - * noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used - * ndata: pointer to arbitrary data used by the nonce generation function (can be NULL) + * 0: the nonce generation function failed, or the secret key was invalid. + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: sig: pointer to an array where the signature will be placed. + * In: msghash32: the 32-byte message hash being signed. + * seckey: pointer to a 32-byte secret key. + * noncefp: pointer to a nonce generation function. If NULL, + * secp256k1_nonce_function_default is used. + * ndata: pointer to arbitrary data used by the nonce generation function + * (can be NULL for secp256k1_nonce_function_default). */ SECP256K1_API int secp256k1_ecdsa_sign_recoverable( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_ecdsa_recoverable_signature *sig, - const unsigned char *msg32, + const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void *ndata @@ -91,16 +94,16 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable( * * Returns: 1: public key successfully recovered (which guarantees a correct signature). * 0: otherwise. - * Args: ctx: pointer to a context object, initialized for verification (cannot be NULL) - * Out: pubkey: pointer to the recovered public key (cannot be NULL) - * In: sig: pointer to initialized signature that supports pubkey recovery (cannot be NULL) - * msg32: the 32-byte message hash assumed to be signed (cannot be NULL) + * Args: ctx: pointer to a context object. + * Out: pubkey: pointer to the recovered public key. + * In: sig: pointer to initialized signature that supports pubkey recovery. + * msghash32: the 32-byte message hash assumed to be signed. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_recover( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *sig, - const unsigned char *msg32 + const unsigned char *msghash32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); #ifdef __cplusplus diff --git a/src/secp256k1/include/secp256k1_schnorrsig.h b/src/secp256k1/include/secp256k1_schnorrsig.h new file mode 100644 index 00000000..013d4ee7 --- /dev/null +++ b/src/secp256k1/include/secp256k1_schnorrsig.h @@ -0,0 +1,190 @@ +#ifndef SECP256K1_SCHNORRSIG_H +#define SECP256K1_SCHNORRSIG_H + +#include "secp256k1.h" +#include "secp256k1_extrakeys.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/** This module implements a variant of Schnorr signatures compliant with + * Bitcoin Improvement Proposal 340 "Schnorr Signatures for secp256k1" + * (https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki). + */ + +/** A pointer to a function to deterministically generate a nonce. + * + * Same as secp256k1_nonce function with the exception of accepting an + * additional pubkey argument and not requiring an attempt argument. The pubkey + * argument can protect signature schemes with key-prefixed challenge hash + * inputs against reusing the nonce when signing with the wrong precomputed + * pubkey. + * + * Returns: 1 if a nonce was successfully generated. 0 will cause signing to + * return an error. + * Out: nonce32: pointer to a 32-byte array to be filled by the function + * In: msg: the message being verified. Is NULL if and only if msglen + * is 0. + * msglen: the length of the message + * key32: pointer to a 32-byte secret key (will not be NULL) + * xonly_pk32: the 32-byte serialized xonly pubkey corresponding to key32 + * (will not be NULL) + * algo: pointer to an array describing the signature + * algorithm (will not be NULL) + * algolen: the length of the algo array + * data: arbitrary data pointer that is passed through + * + * Except for test cases, this function should compute some cryptographic hash of + * the message, the key, the pubkey, the algorithm description, and data. + */ +typedef int (*secp256k1_nonce_function_hardened)( + unsigned char *nonce32, + const unsigned char *msg, + size_t msglen, + const unsigned char *key32, + const unsigned char *xonly_pk32, + const unsigned char *algo, + size_t algolen, + void *data +); + +/** An implementation of the nonce generation function as defined in Bitcoin + * Improvement Proposal 340 "Schnorr Signatures for secp256k1" + * (https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki). + * + * If a data pointer is passed, it is assumed to be a pointer to 32 bytes of + * auxiliary random data as defined in BIP-340. If the data pointer is NULL, + * the nonce derivation procedure follows BIP-340 by setting the auxiliary + * random data to zero. The algo argument must be non-NULL, otherwise the + * function will fail and return 0. The hash will be tagged with algo. + * Therefore, to create BIP-340 compliant signatures, algo must be set to + * "BIP0340/nonce" and algolen to 13. + */ +SECP256K1_API const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340; + +/** Data structure that contains additional arguments for schnorrsig_sign_custom. + * + * A schnorrsig_extraparams structure object can be initialized correctly by + * setting it to SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT. + * + * Members: + * magic: set to SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC at initialization + * and has no other function than making sure the object is + * initialized. + * noncefp: pointer to a nonce generation function. If NULL, + * secp256k1_nonce_function_bip340 is used + * ndata: pointer to arbitrary data used by the nonce generation function + * (can be NULL). If it is non-NULL and + * secp256k1_nonce_function_bip340 is used, then ndata must be a + * pointer to 32-byte auxiliary randomness as per BIP-340. + */ +typedef struct secp256k1_schnorrsig_extraparams { + unsigned char magic[4]; + secp256k1_nonce_function_hardened noncefp; + void *ndata; +} secp256k1_schnorrsig_extraparams; + +#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC { 0xda, 0x6f, 0xb3, 0x8c } +#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT {\ + SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC,\ + NULL,\ + NULL\ +} + +/** Create a Schnorr signature. + * + * Does _not_ strictly follow BIP-340 because it does not verify the resulting + * signature. Instead, you can manually use secp256k1_schnorrsig_verify and + * abort if it fails. + * + * This function only signs 32-byte messages. If you have messages of a + * different size (or the same size but without a context-specific tag + * prefix), it is recommended to create a 32-byte message hash with + * secp256k1_tagged_sha256 and then sign the hash. Tagged hashing allows + * providing an context-specific tag for domain separation. This prevents + * signatures from being valid in multiple contexts by accident. + * + * Returns 1 on success, 0 on failure. + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: sig64: pointer to a 64-byte array to store the serialized signature. + * In: msg32: the 32-byte message being signed. + * keypair: pointer to an initialized keypair. + * aux_rand32: 32 bytes of fresh randomness. While recommended to provide + * this, it is only supplemental to security and can be NULL. A + * NULL argument is treated the same as an all-zero one. See + * BIP-340 "Default Signing" for a full explanation of this + * argument and for guidance if randomness is expensive. + */ +SECP256K1_API int secp256k1_schnorrsig_sign32( + const secp256k1_context *ctx, + unsigned char *sig64, + const unsigned char *msg32, + const secp256k1_keypair *keypair, + const unsigned char *aux_rand32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Same as secp256k1_schnorrsig_sign32, but DEPRECATED. Will be removed in + * future versions. */ +SECP256K1_API int secp256k1_schnorrsig_sign( + const secp256k1_context *ctx, + unsigned char *sig64, + const unsigned char *msg32, + const secp256k1_keypair *keypair, + const unsigned char *aux_rand32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) + SECP256K1_DEPRECATED("Use secp256k1_schnorrsig_sign32 instead"); + +/** Create a Schnorr signature with a more flexible API. + * + * Same arguments as secp256k1_schnorrsig_sign except that it allows signing + * variable length messages and accepts a pointer to an extraparams object that + * allows customizing signing by passing additional arguments. + * + * Equivalent to secp256k1_schnorrsig_sign32(..., aux_rand32) if msglen is 32 + * and extraparams is initialized as follows: + * ``` + * secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + * extraparams.ndata = (unsigned char*)aux_rand32; + * ``` + * + * Returns 1 on success, 0 on failure. + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: sig64: pointer to a 64-byte array to store the serialized signature. + * In: msg: the message being signed. Can only be NULL if msglen is 0. + * msglen: length of the message. + * keypair: pointer to an initialized keypair. + * extraparams: pointer to an extraparams object (can be NULL). + */ +SECP256K1_API int secp256k1_schnorrsig_sign_custom( + const secp256k1_context *ctx, + unsigned char *sig64, + const unsigned char *msg, + size_t msglen, + const secp256k1_keypair *keypair, + secp256k1_schnorrsig_extraparams *extraparams +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(5); + +/** Verify a Schnorr signature. + * + * Returns: 1: correct signature + * 0: incorrect signature + * Args: ctx: pointer to a context object. + * In: sig64: pointer to the 64-byte signature to verify. + * msg: the message being verified. Can only be NULL if msglen is 0. + * msglen: length of the message + * pubkey: pointer to an x-only public key to verify with + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify( + const secp256k1_context *ctx, + const unsigned char *sig64, + const unsigned char *msg, + size_t msglen, + const secp256k1_xonly_pubkey *pubkey +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(5); + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_SCHNORRSIG_H */ diff --git a/src/secp256k1/libsecp256k1.pc.in b/src/secp256k1/libsecp256k1.pc.in index 694e98ee..0fb6f48a 100644 --- a/src/secp256k1/libsecp256k1.pc.in +++ b/src/secp256k1/libsecp256k1.pc.in @@ -9,5 +9,4 @@ URL: https://github.com/bitcoin-core/secp256k1 Version: @PACKAGE_VERSION@ Cflags: -I${includedir} Libs: -L${libdir} -lsecp256k1 -Libs.private: @SECP_LIBS@ diff --git a/src/secp256k1/obj/.gitignore b/src/secp256k1/obj/.gitignore deleted file mode 100644 index e69de29b..00000000 diff --git a/src/secp256k1/sage/group_prover.sage b/src/secp256k1/sage/group_prover.sage deleted file mode 100644 index 8521f079..00000000 --- a/src/secp256k1/sage/group_prover.sage +++ /dev/null @@ -1,322 +0,0 @@ -# This code supports verifying group implementations which have branches -# or conditional statements (like cmovs), by allowing each execution path -# to independently set assumptions on input or intermediary variables. -# -# The general approach is: -# * A constraint is a tuple of two sets of symbolic expressions: -# the first of which are required to evaluate to zero, the second of which -# are required to evaluate to nonzero. -# - A constraint is said to be conflicting if any of its nonzero expressions -# is in the ideal with basis the zero expressions (in other words: when the -# zero expressions imply that one of the nonzero expressions are zero). -# * There is a list of laws that describe the intended behaviour, including -# laws for addition and doubling. Each law is called with the symbolic point -# coordinates as arguments, and returns: -# - A constraint describing the assumptions under which it is applicable, -# called "assumeLaw" -# - A constraint describing the requirements of the law, called "require" -# * Implementations are transliterated into functions that operate as well on -# algebraic input points, and are called once per combination of branches -# executed. Each execution returns: -# - A constraint describing the assumptions this implementation requires -# (such as Z1=1), called "assumeFormula" -# - A constraint describing the assumptions this specific branch requires, -# but which is by construction guaranteed to cover the entire space by -# merging the results from all branches, called "assumeBranch" -# - The result of the computation -# * All combinations of laws with implementation branches are tried, and: -# - If the combination of assumeLaw, assumeFormula, and assumeBranch results -# in a conflict, it means this law does not apply to this branch, and it is -# skipped. -# - For others, we try to prove the require constraints hold, assuming the -# information in assumeLaw + assumeFormula + assumeBranch, and if this does -# not succeed, we fail. -# + To prove an expression is zero, we check whether it belongs to the -# ideal with the assumed zero expressions as basis. This test is exact. -# + To prove an expression is nonzero, we check whether each of its -# factors is contained in the set of nonzero assumptions' factors. -# This test is not exact, so various combinations of original and -# reduced expressions' factors are tried. -# - If we succeed, we print out the assumptions from assumeFormula that -# weren't implied by assumeLaw already. Those from assumeBranch are skipped, -# as we assume that all constraints in it are complementary with each other. -# -# Based on the sage verification scripts used in the Explicit-Formulas Database -# by Tanja Lange and others, see http://hyperelliptic.org/EFD - -class fastfrac: - """Fractions over rings.""" - - def __init__(self,R,top,bot=1): - """Construct a fractional, given a ring, a numerator, and denominator.""" - self.R = R - if parent(top) == ZZ or parent(top) == R: - self.top = R(top) - self.bot = R(bot) - elif top.__class__ == fastfrac: - self.top = top.top - self.bot = top.bot * bot - else: - self.top = R(numerator(top)) - self.bot = R(denominator(top)) * bot - - def iszero(self,I): - """Return whether this fraction is zero given an ideal.""" - return self.top in I and self.bot not in I - - def reduce(self,assumeZero): - zero = self.R.ideal(map(numerator, assumeZero)) - return fastfrac(self.R, zero.reduce(self.top)) / fastfrac(self.R, zero.reduce(self.bot)) - - def __add__(self,other): - """Add two fractions.""" - if parent(other) == ZZ: - return fastfrac(self.R,self.top + self.bot * other,self.bot) - if other.__class__ == fastfrac: - return fastfrac(self.R,self.top * other.bot + self.bot * other.top,self.bot * other.bot) - return NotImplemented - - def __sub__(self,other): - """Subtract two fractions.""" - if parent(other) == ZZ: - return fastfrac(self.R,self.top - self.bot * other,self.bot) - if other.__class__ == fastfrac: - return fastfrac(self.R,self.top * other.bot - self.bot * other.top,self.bot * other.bot) - return NotImplemented - - def __neg__(self): - """Return the negation of a fraction.""" - return fastfrac(self.R,-self.top,self.bot) - - def __mul__(self,other): - """Multiply two fractions.""" - if parent(other) == ZZ: - return fastfrac(self.R,self.top * other,self.bot) - if other.__class__ == fastfrac: - return fastfrac(self.R,self.top * other.top,self.bot * other.bot) - return NotImplemented - - def __rmul__(self,other): - """Multiply something else with a fraction.""" - return self.__mul__(other) - - def __div__(self,other): - """Divide two fractions.""" - if parent(other) == ZZ: - return fastfrac(self.R,self.top,self.bot * other) - if other.__class__ == fastfrac: - return fastfrac(self.R,self.top * other.bot,self.bot * other.top) - return NotImplemented - - def __pow__(self,other): - """Compute a power of a fraction.""" - if parent(other) == ZZ: - if other < 0: - # Negative powers require flipping top and bottom - return fastfrac(self.R,self.bot ^ (-other),self.top ^ (-other)) - else: - return fastfrac(self.R,self.top ^ other,self.bot ^ other) - return NotImplemented - - def __str__(self): - return "fastfrac((" + str(self.top) + ") / (" + str(self.bot) + "))" - def __repr__(self): - return "%s" % self - - def numerator(self): - return self.top - -class constraints: - """A set of constraints, consisting of zero and nonzero expressions. - - Constraints can either be used to express knowledge or a requirement. - - Both the fields zero and nonzero are maps from expressions to description - strings. The expressions that are the keys in zero are required to be zero, - and the expressions that are the keys in nonzero are required to be nonzero. - - Note that (a != 0) and (b != 0) is the same as (a*b != 0), so all keys in - nonzero could be multiplied into a single key. This is often much less - efficient to work with though, so we keep them separate inside the - constraints. This allows higher-level code to do fast checks on the individual - nonzero elements, or combine them if needed for stronger checks. - - We can't multiply the different zero elements, as it would suffice for one of - the factors to be zero, instead of all of them. Instead, the zero elements are - typically combined into an ideal first. - """ - - def __init__(self, **kwargs): - if 'zero' in kwargs: - self.zero = dict(kwargs['zero']) - else: - self.zero = dict() - if 'nonzero' in kwargs: - self.nonzero = dict(kwargs['nonzero']) - else: - self.nonzero = dict() - - def negate(self): - return constraints(zero=self.nonzero, nonzero=self.zero) - - def __add__(self, other): - zero = self.zero.copy() - zero.update(other.zero) - nonzero = self.nonzero.copy() - nonzero.update(other.nonzero) - return constraints(zero=zero, nonzero=nonzero) - - def __str__(self): - return "constraints(zero=%s,nonzero=%s)" % (self.zero, self.nonzero) - - def __repr__(self): - return "%s" % self - - -def conflicts(R, con): - """Check whether any of the passed non-zero assumptions is implied by the zero assumptions""" - zero = R.ideal(map(numerator, con.zero)) - if 1 in zero: - return True - # First a cheap check whether any of the individual nonzero terms conflict on - # their own. - for nonzero in con.nonzero: - if nonzero.iszero(zero): - return True - # It can be the case that entries in the nonzero set do not individually - # conflict with the zero set, but their combination does. For example, knowing - # that either x or y is zero is equivalent to having x*y in the zero set. - # Having x or y individually in the nonzero set is not a conflict, but both - # simultaneously is, so that is the right thing to check for. - if reduce(lambda a,b: a * b, con.nonzero, fastfrac(R, 1)).iszero(zero): - return True - return False - - -def get_nonzero_set(R, assume): - """Calculate a simple set of nonzero expressions""" - zero = R.ideal(map(numerator, assume.zero)) - nonzero = set() - for nz in map(numerator, assume.nonzero): - for (f,n) in nz.factor(): - nonzero.add(f) - rnz = zero.reduce(nz) - for (f,n) in rnz.factor(): - nonzero.add(f) - return nonzero - - -def prove_nonzero(R, exprs, assume): - """Check whether an expression is provably nonzero, given assumptions""" - zero = R.ideal(map(numerator, assume.zero)) - nonzero = get_nonzero_set(R, assume) - expl = set() - ok = True - for expr in exprs: - if numerator(expr) in zero: - return (False, [exprs[expr]]) - allexprs = reduce(lambda a,b: numerator(a)*numerator(b), exprs, 1) - for (f, n) in allexprs.factor(): - if f not in nonzero: - ok = False - if ok: - return (True, None) - ok = True - for (f, n) in zero.reduce(numerator(allexprs)).factor(): - if f not in nonzero: - ok = False - if ok: - return (True, None) - ok = True - for expr in exprs: - for (f,n) in numerator(expr).factor(): - if f not in nonzero: - ok = False - if ok: - return (True, None) - ok = True - for expr in exprs: - for (f,n) in zero.reduce(numerator(expr)).factor(): - if f not in nonzero: - expl.add(exprs[expr]) - if expl: - return (False, list(expl)) - else: - return (True, None) - - -def prove_zero(R, exprs, assume): - """Check whether all of the passed expressions are provably zero, given assumptions""" - r, e = prove_nonzero(R, dict(map(lambda x: (fastfrac(R, x.bot, 1), exprs[x]), exprs)), assume) - if not r: - return (False, map(lambda x: "Possibly zero denominator: %s" % x, e)) - zero = R.ideal(map(numerator, assume.zero)) - nonzero = prod(x for x in assume.nonzero) - expl = [] - for expr in exprs: - if not expr.iszero(zero): - expl.append(exprs[expr]) - if not expl: - return (True, None) - return (False, expl) - - -def describe_extra(R, assume, assumeExtra): - """Describe what assumptions are added, given existing assumptions""" - zerox = assume.zero.copy() - zerox.update(assumeExtra.zero) - zero = R.ideal(map(numerator, assume.zero)) - zeroextra = R.ideal(map(numerator, zerox)) - nonzero = get_nonzero_set(R, assume) - ret = set() - # Iterate over the extra zero expressions - for base in assumeExtra.zero: - if base not in zero: - add = [] - for (f, n) in numerator(base).factor(): - if f not in nonzero: - add += ["%s" % f] - if add: - ret.add((" * ".join(add)) + " = 0 [%s]" % assumeExtra.zero[base]) - # Iterate over the extra nonzero expressions - for nz in assumeExtra.nonzero: - nzr = zeroextra.reduce(numerator(nz)) - if nzr not in zeroextra: - for (f,n) in nzr.factor(): - if zeroextra.reduce(f) not in nonzero: - ret.add("%s != 0" % zeroextra.reduce(f)) - return ", ".join(x for x in ret) - - -def check_symbolic(R, assumeLaw, assumeAssert, assumeBranch, require): - """Check a set of zero and nonzero requirements, given a set of zero and nonzero assumptions""" - assume = assumeLaw + assumeAssert + assumeBranch - - if conflicts(R, assume): - # This formula does not apply - return None - - describe = describe_extra(R, assumeLaw + assumeBranch, assumeAssert) - - ok, msg = prove_zero(R, require.zero, assume) - if not ok: - return "FAIL, %s fails (assuming %s)" % (str(msg), describe) - - res, expl = prove_nonzero(R, require.nonzero, assume) - if not res: - return "FAIL, %s fails (assuming %s)" % (str(expl), describe) - - if describe != "": - return "OK (assuming %s)" % describe - else: - return "OK" - - -def concrete_verify(c): - for k in c.zero: - if k != 0: - return (False, c.zero[k]) - for k in c.nonzero: - if k == 0: - return (False, c.nonzero[k]) - return (True, None) diff --git a/src/secp256k1/sage/secp256k1.sage b/src/secp256k1/sage/secp256k1.sage deleted file mode 100644 index a97e732f..00000000 --- a/src/secp256k1/sage/secp256k1.sage +++ /dev/null @@ -1,306 +0,0 @@ -# Test libsecp256k1' group operation implementations using prover.sage - -import sys - -load("group_prover.sage") -load("weierstrass_prover.sage") - -def formula_secp256k1_gej_double_var(a): - """libsecp256k1's secp256k1_gej_double_var, used by various addition functions""" - rz = a.Z * a.Y - rz = rz * 2 - t1 = a.X^2 - t1 = t1 * 3 - t2 = t1^2 - t3 = a.Y^2 - t3 = t3 * 2 - t4 = t3^2 - t4 = t4 * 2 - t3 = t3 * a.X - rx = t3 - rx = rx * 4 - rx = -rx - rx = rx + t2 - t2 = -t2 - t3 = t3 * 6 - t3 = t3 + t2 - ry = t1 * t3 - t2 = -t4 - ry = ry + t2 - return jacobianpoint(rx, ry, rz) - -def formula_secp256k1_gej_add_var(branch, a, b): - """libsecp256k1's secp256k1_gej_add_var""" - if branch == 0: - return (constraints(), constraints(nonzero={a.Infinity : 'a_infinite'}), b) - if branch == 1: - return (constraints(), constraints(zero={a.Infinity : 'a_finite'}, nonzero={b.Infinity : 'b_infinite'}), a) - z22 = b.Z^2 - z12 = a.Z^2 - u1 = a.X * z22 - u2 = b.X * z12 - s1 = a.Y * z22 - s1 = s1 * b.Z - s2 = b.Y * z12 - s2 = s2 * a.Z - h = -u1 - h = h + u2 - i = -s1 - i = i + s2 - if branch == 2: - r = formula_secp256k1_gej_double_var(a) - return (constraints(), constraints(zero={h : 'h=0', i : 'i=0', a.Infinity : 'a_finite', b.Infinity : 'b_finite'}), r) - if branch == 3: - return (constraints(), constraints(zero={h : 'h=0', a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={i : 'i!=0'}), point_at_infinity()) - i2 = i^2 - h2 = h^2 - h3 = h2 * h - h = h * b.Z - rz = a.Z * h - t = u1 * h2 - rx = t - rx = rx * 2 - rx = rx + h3 - rx = -rx - rx = rx + i2 - ry = -rx - ry = ry + t - ry = ry * i - h3 = h3 * s1 - h3 = -h3 - ry = ry + h3 - return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz)) - -def formula_secp256k1_gej_add_ge_var(branch, a, b): - """libsecp256k1's secp256k1_gej_add_ge_var, which assume bz==1""" - if branch == 0: - return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(nonzero={a.Infinity : 'a_infinite'}), b) - if branch == 1: - return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite'}, nonzero={b.Infinity : 'b_infinite'}), a) - z12 = a.Z^2 - u1 = a.X - u2 = b.X * z12 - s1 = a.Y - s2 = b.Y * z12 - s2 = s2 * a.Z - h = -u1 - h = h + u2 - i = -s1 - i = i + s2 - if (branch == 2): - r = formula_secp256k1_gej_double_var(a) - return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0', i : 'i=0'}), r) - if (branch == 3): - return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0'}, nonzero={i : 'i!=0'}), point_at_infinity()) - i2 = i^2 - h2 = h^2 - h3 = h * h2 - rz = a.Z * h - t = u1 * h2 - rx = t - rx = rx * 2 - rx = rx + h3 - rx = -rx - rx = rx + i2 - ry = -rx - ry = ry + t - ry = ry * i - h3 = h3 * s1 - h3 = -h3 - ry = ry + h3 - return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz)) - -def formula_secp256k1_gej_add_zinv_var(branch, a, b): - """libsecp256k1's secp256k1_gej_add_zinv_var""" - bzinv = b.Z^(-1) - if branch == 0: - return (constraints(), constraints(nonzero={b.Infinity : 'b_infinite'}), a) - if branch == 1: - bzinv2 = bzinv^2 - bzinv3 = bzinv2 * bzinv - rx = b.X * bzinv2 - ry = b.Y * bzinv3 - rz = 1 - return (constraints(), constraints(zero={b.Infinity : 'b_finite'}, nonzero={a.Infinity : 'a_infinite'}), jacobianpoint(rx, ry, rz)) - azz = a.Z * bzinv - z12 = azz^2 - u1 = a.X - u2 = b.X * z12 - s1 = a.Y - s2 = b.Y * z12 - s2 = s2 * azz - h = -u1 - h = h + u2 - i = -s1 - i = i + s2 - if branch == 2: - r = formula_secp256k1_gej_double_var(a) - return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0', i : 'i=0'}), r) - if branch == 3: - return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0'}, nonzero={i : 'i!=0'}), point_at_infinity()) - i2 = i^2 - h2 = h^2 - h3 = h * h2 - rz = a.Z - rz = rz * h - t = u1 * h2 - rx = t - rx = rx * 2 - rx = rx + h3 - rx = -rx - rx = rx + i2 - ry = -rx - ry = ry + t - ry = ry * i - h3 = h3 * s1 - h3 = -h3 - ry = ry + h3 - return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz)) - -def formula_secp256k1_gej_add_ge(branch, a, b): - """libsecp256k1's secp256k1_gej_add_ge""" - zeroes = {} - nonzeroes = {} - a_infinity = False - if (branch & 4) != 0: - nonzeroes.update({a.Infinity : 'a_infinite'}) - a_infinity = True - else: - zeroes.update({a.Infinity : 'a_finite'}) - zz = a.Z^2 - u1 = a.X - u2 = b.X * zz - s1 = a.Y - s2 = b.Y * zz - s2 = s2 * a.Z - t = u1 - t = t + u2 - m = s1 - m = m + s2 - rr = t^2 - m_alt = -u2 - tt = u1 * m_alt - rr = rr + tt - degenerate = (branch & 3) == 3 - if (branch & 1) != 0: - zeroes.update({m : 'm_zero'}) - else: - nonzeroes.update({m : 'm_nonzero'}) - if (branch & 2) != 0: - zeroes.update({rr : 'rr_zero'}) - else: - nonzeroes.update({rr : 'rr_nonzero'}) - rr_alt = s1 - rr_alt = rr_alt * 2 - m_alt = m_alt + u1 - if not degenerate: - rr_alt = rr - m_alt = m - n = m_alt^2 - q = n * t - n = n^2 - if degenerate: - n = m - t = rr_alt^2 - rz = a.Z * m_alt - infinity = False - if (branch & 8) != 0: - if not a_infinity: - infinity = True - zeroes.update({rz : 'r.z=0'}) - else: - nonzeroes.update({rz : 'r.z!=0'}) - rz = rz * 2 - q = -q - t = t + q - rx = t - t = t * 2 - t = t + q - t = t * rr_alt - t = t + n - ry = -t - rx = rx * 4 - ry = ry * 4 - if a_infinity: - rx = b.X - ry = b.Y - rz = 1 - if infinity: - return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zeroes, nonzero=nonzeroes), point_at_infinity()) - return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zeroes, nonzero=nonzeroes), jacobianpoint(rx, ry, rz)) - -def formula_secp256k1_gej_add_ge_old(branch, a, b): - """libsecp256k1's old secp256k1_gej_add_ge, which fails when ay+by=0 but ax!=bx""" - a_infinity = (branch & 1) != 0 - zero = {} - nonzero = {} - if a_infinity: - nonzero.update({a.Infinity : 'a_infinite'}) - else: - zero.update({a.Infinity : 'a_finite'}) - zz = a.Z^2 - u1 = a.X - u2 = b.X * zz - s1 = a.Y - s2 = b.Y * zz - s2 = s2 * a.Z - z = a.Z - t = u1 - t = t + u2 - m = s1 - m = m + s2 - n = m^2 - q = n * t - n = n^2 - rr = t^2 - t = u1 * u2 - t = -t - rr = rr + t - t = rr^2 - rz = m * z - infinity = False - if (branch & 2) != 0: - if not a_infinity: - infinity = True - else: - return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(nonzero={z : 'conflict_a'}, zero={z : 'conflict_b'}), point_at_infinity()) - zero.update({rz : 'r.z=0'}) - else: - nonzero.update({rz : 'r.z!=0'}) - rz = rz * (0 if a_infinity else 2) - rx = t - q = -q - rx = rx + q - q = q * 3 - t = t * 2 - t = t + q - t = t * rr - t = t + n - ry = -t - rx = rx * (0 if a_infinity else 4) - ry = ry * (0 if a_infinity else 4) - t = b.X - t = t * (1 if a_infinity else 0) - rx = rx + t - t = b.Y - t = t * (1 if a_infinity else 0) - ry = ry + t - t = (1 if a_infinity else 0) - rz = rz + t - if infinity: - return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zero, nonzero=nonzero), point_at_infinity()) - return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zero, nonzero=nonzero), jacobianpoint(rx, ry, rz)) - -if __name__ == "__main__": - check_symbolic_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var) - check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var) - check_symbolic_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var) - check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge) - check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old) - - if len(sys.argv) >= 2 and sys.argv[1] == "--exhaustive": - check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var, 43) - check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var, 43) - check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var, 43) - check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge, 43) - check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old, 43) diff --git a/src/secp256k1/sage/weierstrass_prover.sage b/src/secp256k1/sage/weierstrass_prover.sage deleted file mode 100644 index 03ef2ec9..00000000 --- a/src/secp256k1/sage/weierstrass_prover.sage +++ /dev/null @@ -1,264 +0,0 @@ -# Prover implementation for Weierstrass curves of the form -# y^2 = x^3 + A * x + B, specifically with a = 0 and b = 7, with group laws -# operating on affine and Jacobian coordinates, including the point at infinity -# represented by a 4th variable in coordinates. - -load("group_prover.sage") - - -class affinepoint: - def __init__(self, x, y, infinity=0): - self.x = x - self.y = y - self.infinity = infinity - def __str__(self): - return "affinepoint(x=%s,y=%s,inf=%s)" % (self.x, self.y, self.infinity) - - -class jacobianpoint: - def __init__(self, x, y, z, infinity=0): - self.X = x - self.Y = y - self.Z = z - self.Infinity = infinity - def __str__(self): - return "jacobianpoint(X=%s,Y=%s,Z=%s,inf=%s)" % (self.X, self.Y, self.Z, self.Infinity) - - -def point_at_infinity(): - return jacobianpoint(1, 1, 1, 1) - - -def negate(p): - if p.__class__ == affinepoint: - return affinepoint(p.x, -p.y) - if p.__class__ == jacobianpoint: - return jacobianpoint(p.X, -p.Y, p.Z) - assert(False) - - -def on_weierstrass_curve(A, B, p): - """Return a set of zero-expressions for an affine point to be on the curve""" - return constraints(zero={p.x^3 + A*p.x + B - p.y^2: 'on_curve'}) - - -def tangential_to_weierstrass_curve(A, B, p12, p3): - """Return a set of zero-expressions for ((x12,y12),(x3,y3)) to be a line that is tangential to the curve at (x12,y12)""" - return constraints(zero={ - (p12.y - p3.y) * (p12.y * 2) - (p12.x^2 * 3 + A) * (p12.x - p3.x): 'tangential_to_curve' - }) - - -def colinear(p1, p2, p3): - """Return a set of zero-expressions for ((x1,y1),(x2,y2),(x3,y3)) to be collinear""" - return constraints(zero={ - (p1.y - p2.y) * (p1.x - p3.x) - (p1.y - p3.y) * (p1.x - p2.x): 'colinear_1', - (p2.y - p3.y) * (p2.x - p1.x) - (p2.y - p1.y) * (p2.x - p3.x): 'colinear_2', - (p3.y - p1.y) * (p3.x - p2.x) - (p3.y - p2.y) * (p3.x - p1.x): 'colinear_3' - }) - - -def good_affine_point(p): - return constraints(nonzero={p.x : 'nonzero_x', p.y : 'nonzero_y'}) - - -def good_jacobian_point(p): - return constraints(nonzero={p.X : 'nonzero_X', p.Y : 'nonzero_Y', p.Z^6 : 'nonzero_Z'}) - - -def good_point(p): - return constraints(nonzero={p.Z^6 : 'nonzero_X'}) - - -def finite(p, *affine_fns): - con = good_point(p) + constraints(zero={p.Infinity : 'finite_point'}) - if p.Z != 0: - return con + reduce(lambda a, b: a + b, (f(affinepoint(p.X / p.Z^2, p.Y / p.Z^3)) for f in affine_fns), con) - else: - return con - -def infinite(p): - return constraints(nonzero={p.Infinity : 'infinite_point'}) - - -def law_jacobian_weierstrass_add(A, B, pa, pb, pA, pB, pC): - """Check whether the passed set of coordinates is a valid Jacobian add, given assumptions""" - assumeLaw = (good_affine_point(pa) + - good_affine_point(pb) + - good_jacobian_point(pA) + - good_jacobian_point(pB) + - on_weierstrass_curve(A, B, pa) + - on_weierstrass_curve(A, B, pb) + - finite(pA) + - finite(pB) + - constraints(nonzero={pa.x - pb.x : 'different_x'})) - require = (finite(pC, lambda pc: on_weierstrass_curve(A, B, pc) + - colinear(pa, pb, negate(pc)))) - return (assumeLaw, require) - - -def law_jacobian_weierstrass_double(A, B, pa, pb, pA, pB, pC): - """Check whether the passed set of coordinates is a valid Jacobian doubling, given assumptions""" - assumeLaw = (good_affine_point(pa) + - good_affine_point(pb) + - good_jacobian_point(pA) + - good_jacobian_point(pB) + - on_weierstrass_curve(A, B, pa) + - on_weierstrass_curve(A, B, pb) + - finite(pA) + - finite(pB) + - constraints(zero={pa.x - pb.x : 'equal_x', pa.y - pb.y : 'equal_y'})) - require = (finite(pC, lambda pc: on_weierstrass_curve(A, B, pc) + - tangential_to_weierstrass_curve(A, B, pa, negate(pc)))) - return (assumeLaw, require) - - -def law_jacobian_weierstrass_add_opposites(A, B, pa, pb, pA, pB, pC): - assumeLaw = (good_affine_point(pa) + - good_affine_point(pb) + - good_jacobian_point(pA) + - good_jacobian_point(pB) + - on_weierstrass_curve(A, B, pa) + - on_weierstrass_curve(A, B, pb) + - finite(pA) + - finite(pB) + - constraints(zero={pa.x - pb.x : 'equal_x', pa.y + pb.y : 'opposite_y'})) - require = infinite(pC) - return (assumeLaw, require) - - -def law_jacobian_weierstrass_add_infinite_a(A, B, pa, pb, pA, pB, pC): - assumeLaw = (good_affine_point(pa) + - good_affine_point(pb) + - good_jacobian_point(pA) + - good_jacobian_point(pB) + - on_weierstrass_curve(A, B, pb) + - infinite(pA) + - finite(pB)) - require = finite(pC, lambda pc: constraints(zero={pc.x - pb.x : 'c.x=b.x', pc.y - pb.y : 'c.y=b.y'})) - return (assumeLaw, require) - - -def law_jacobian_weierstrass_add_infinite_b(A, B, pa, pb, pA, pB, pC): - assumeLaw = (good_affine_point(pa) + - good_affine_point(pb) + - good_jacobian_point(pA) + - good_jacobian_point(pB) + - on_weierstrass_curve(A, B, pa) + - infinite(pB) + - finite(pA)) - require = finite(pC, lambda pc: constraints(zero={pc.x - pa.x : 'c.x=a.x', pc.y - pa.y : 'c.y=a.y'})) - return (assumeLaw, require) - - -def law_jacobian_weierstrass_add_infinite_ab(A, B, pa, pb, pA, pB, pC): - assumeLaw = (good_affine_point(pa) + - good_affine_point(pb) + - good_jacobian_point(pA) + - good_jacobian_point(pB) + - infinite(pA) + - infinite(pB)) - require = infinite(pC) - return (assumeLaw, require) - - -laws_jacobian_weierstrass = { - 'add': law_jacobian_weierstrass_add, - 'double': law_jacobian_weierstrass_double, - 'add_opposite': law_jacobian_weierstrass_add_opposites, - 'add_infinite_a': law_jacobian_weierstrass_add_infinite_a, - 'add_infinite_b': law_jacobian_weierstrass_add_infinite_b, - 'add_infinite_ab': law_jacobian_weierstrass_add_infinite_ab -} - - -def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p): - """Verify an implementation of addition of Jacobian points on a Weierstrass curve, by executing and validating the result for every possible addition in a prime field""" - F = Integers(p) - print "Formula %s on Z%i:" % (name, p) - points = [] - for x in xrange(0, p): - for y in xrange(0, p): - point = affinepoint(F(x), F(y)) - r, e = concrete_verify(on_weierstrass_curve(A, B, point)) - if r: - points.append(point) - - for za in xrange(1, p): - for zb in xrange(1, p): - for pa in points: - for pb in points: - for ia in xrange(2): - for ib in xrange(2): - pA = jacobianpoint(pa.x * F(za)^2, pa.y * F(za)^3, F(za), ia) - pB = jacobianpoint(pb.x * F(zb)^2, pb.y * F(zb)^3, F(zb), ib) - for branch in xrange(0, branches): - assumeAssert, assumeBranch, pC = formula(branch, pA, pB) - pC.X = F(pC.X) - pC.Y = F(pC.Y) - pC.Z = F(pC.Z) - pC.Infinity = F(pC.Infinity) - r, e = concrete_verify(assumeAssert + assumeBranch) - if r: - match = False - for key in laws_jacobian_weierstrass: - assumeLaw, require = laws_jacobian_weierstrass[key](A, B, pa, pb, pA, pB, pC) - r, e = concrete_verify(assumeLaw) - if r: - if match: - print " multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity) - else: - match = True - r, e = concrete_verify(require) - if not r: - print " failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e) - print - - -def check_symbolic_function(R, assumeAssert, assumeBranch, f, A, B, pa, pb, pA, pB, pC): - assumeLaw, require = f(A, B, pa, pb, pA, pB, pC) - return check_symbolic(R, assumeLaw, assumeAssert, assumeBranch, require) - -def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula): - """Verify an implementation of addition of Jacobian points on a Weierstrass curve symbolically""" - R. = PolynomialRing(QQ,8,order='invlex') - lift = lambda x: fastfrac(R,x) - ax = lift(ax) - ay = lift(ay) - Az = lift(Az) - bx = lift(bx) - by = lift(by) - Bz = lift(Bz) - Ai = lift(Ai) - Bi = lift(Bi) - - pa = affinepoint(ax, ay, Ai) - pb = affinepoint(bx, by, Bi) - pA = jacobianpoint(ax * Az^2, ay * Az^3, Az, Ai) - pB = jacobianpoint(bx * Bz^2, by * Bz^3, Bz, Bi) - - res = {} - - for key in laws_jacobian_weierstrass: - res[key] = [] - - print ("Formula " + name + ":") - count = 0 - for branch in xrange(branches): - assumeFormula, assumeBranch, pC = formula(branch, pA, pB) - pC.X = lift(pC.X) - pC.Y = lift(pC.Y) - pC.Z = lift(pC.Z) - pC.Infinity = lift(pC.Infinity) - - for key in laws_jacobian_weierstrass: - res[key].append((check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC), branch)) - - for key in res: - print " %s:" % key - val = res[key] - for x in val: - if x[0] is not None: - print " branch %i: %s" % (x[1], x[0]) - - print diff --git a/src/secp256k1/src/CMakeLists.txt b/src/secp256k1/src/CMakeLists.txt new file mode 100644 index 00000000..f31b8c8f --- /dev/null +++ b/src/secp256k1/src/CMakeLists.txt @@ -0,0 +1,176 @@ +# Must be included before CMAKE_INSTALL_INCLUDEDIR is used. +include(GNUInstallDirs) + +add_library(secp256k1_precomputed OBJECT EXCLUDE_FROM_ALL + precomputed_ecmult.c + precomputed_ecmult_gen.c +) + +# Add objects explicitly rather than linking to the object libs to keep them +# from being exported. +add_library(secp256k1 secp256k1.c $) + +add_library(secp256k1_asm INTERFACE) +if(SECP256K1_ASM STREQUAL "arm32") + add_library(secp256k1_asm_arm OBJECT EXCLUDE_FROM_ALL) + target_sources(secp256k1_asm_arm PUBLIC + asm/field_10x26_arm.s + ) + target_sources(secp256k1 PRIVATE $) + target_link_libraries(secp256k1_asm INTERFACE secp256k1_asm_arm) +endif() + +if(WIN32) + # Define our export symbol only for shared libs. + set_target_properties(secp256k1 PROPERTIES DEFINE_SYMBOL SECP256K1_DLL_EXPORT) + target_compile_definitions(secp256k1 INTERFACE $<$>:SECP256K1_STATIC>) +endif() + +# Object libs don't know if they're being built for a shared or static lib. +# Grab the PIC property from secp256k1 which knows. +get_target_property(use_pic secp256k1 POSITION_INDEPENDENT_CODE) +set_target_properties(secp256k1_precomputed PROPERTIES POSITION_INDEPENDENT_CODE ${use_pic}) + +target_include_directories(secp256k1 INTERFACE + # Add the include path for parent projects so that they don't have to manually add it. + $>:${PROJECT_SOURCE_DIR}/include>> + $ +) + +# This emulates Libtool to make sure Libtool and CMake agree on the ABI version, +# see below "Calculate the version variables" in build-aux/ltmain.sh. +math(EXPR ${PROJECT_NAME}_soversion "${${PROJECT_NAME}_LIB_VERSION_CURRENT} - ${${PROJECT_NAME}_LIB_VERSION_AGE}") +set_target_properties(secp256k1 PROPERTIES + SOVERSION ${${PROJECT_NAME}_soversion} +) +if(CMAKE_SYSTEM_NAME STREQUAL "Linux") + set_target_properties(secp256k1 PROPERTIES + VERSION ${${PROJECT_NAME}_soversion}.${${PROJECT_NAME}_LIB_VERSION_AGE}.${${PROJECT_NAME}_LIB_VERSION_REVISION} + ) +elseif(APPLE) + if(CMAKE_VERSION VERSION_GREATER_EQUAL 3.17) + math(EXPR ${PROJECT_NAME}_compatibility_version "${${PROJECT_NAME}_LIB_VERSION_CURRENT} + 1") + set_target_properties(secp256k1 PROPERTIES + MACHO_COMPATIBILITY_VERSION ${${PROJECT_NAME}_compatibility_version} + MACHO_CURRENT_VERSION ${${PROJECT_NAME}_compatibility_version}.${${PROJECT_NAME}_LIB_VERSION_REVISION} + ) + unset(${PROJECT_NAME}_compatibility_version) + elseif(BUILD_SHARED_LIBS) + message(WARNING + "The 'compatibility version' and 'current version' values of the DYLIB " + "will diverge from the values set by the GNU Libtool. To ensure " + "compatibility, it is recommended to upgrade CMake to at least version 3.17." + ) + endif() +elseif(CMAKE_SYSTEM_NAME STREQUAL "Windows") + set(${PROJECT_NAME}_windows "secp256k1") + if(MSVC) + set(${PROJECT_NAME}_windows "${PROJECT_NAME}") + endif() + set_target_properties(secp256k1 PROPERTIES + ARCHIVE_OUTPUT_NAME "${${PROJECT_NAME}_windows}" + RUNTIME_OUTPUT_NAME "${${PROJECT_NAME}_windows}-${${PROJECT_NAME}_soversion}" + ) + unset(${PROJECT_NAME}_windows) +endif() +unset(${PROJECT_NAME}_soversion) + +if(SECP256K1_BUILD_BENCHMARK) + add_executable(bench bench.c) + target_link_libraries(bench secp256k1) + add_executable(bench_internal bench_internal.c) + target_link_libraries(bench_internal secp256k1_precomputed secp256k1_asm) + add_executable(bench_ecmult bench_ecmult.c) + target_link_libraries(bench_ecmult secp256k1_precomputed secp256k1_asm) +endif() + +if(SECP256K1_BUILD_TESTS) + add_executable(noverify_tests tests.c) + target_link_libraries(noverify_tests secp256k1_precomputed secp256k1_asm) + add_test(NAME secp256k1_noverify_tests COMMAND noverify_tests) + if(NOT CMAKE_BUILD_TYPE STREQUAL "Coverage") + add_executable(tests tests.c) + target_compile_definitions(tests PRIVATE VERIFY) + target_link_libraries(tests secp256k1_precomputed secp256k1_asm) + add_test(NAME secp256k1_tests COMMAND tests) + endif() +endif() + +if(SECP256K1_BUILD_EXHAUSTIVE_TESTS) + # Note: do not include secp256k1_precomputed in exhaustive_tests (it uses runtime-generated tables). + add_executable(exhaustive_tests tests_exhaustive.c) + target_link_libraries(exhaustive_tests secp256k1_asm) + target_compile_definitions(exhaustive_tests PRIVATE $<$>:VERIFY>) + add_test(NAME secp256k1_exhaustive_tests COMMAND exhaustive_tests) +endif() + +if(SECP256K1_BUILD_CTIME_TESTS) + add_executable(ctime_tests ctime_tests.c) + target_link_libraries(ctime_tests secp256k1) +endif() + +if(SECP256K1_INSTALL) + install(TARGETS secp256k1 + EXPORT ${PROJECT_NAME}-targets + RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR} + LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR} + ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR} + ) + set(${PROJECT_NAME}_headers + "${PROJECT_SOURCE_DIR}/include/secp256k1.h" + "${PROJECT_SOURCE_DIR}/include/secp256k1_preallocated.h" + ) + if(SECP256K1_ENABLE_MODULE_ECDH) + list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ecdh.h") + endif() + if(SECP256K1_ENABLE_MODULE_RECOVERY) + list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_recovery.h") + endif() + if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) + list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_extrakeys.h") + endif() + if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) + list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_schnorrsig.h") + endif() + if(SECP256K1_ENABLE_MODULE_MUSIG) + list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_musig.h") + endif() + if(SECP256K1_ENABLE_MODULE_ELLSWIFT) + list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ellswift.h") + endif() + install(FILES ${${PROJECT_NAME}_headers} + DESTINATION ${CMAKE_INSTALL_INCLUDEDIR} + ) + + install(EXPORT ${PROJECT_NAME}-targets + FILE ${PROJECT_NAME}-targets.cmake + NAMESPACE ${PROJECT_NAME}:: + DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} + ) + + include(CMakePackageConfigHelpers) + configure_package_config_file( + ${PROJECT_SOURCE_DIR}/cmake/config.cmake.in + ${PROJECT_NAME}-config.cmake + INSTALL_DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} + NO_SET_AND_CHECK_MACRO + ) + write_basic_package_version_file(${PROJECT_NAME}-config-version.cmake + COMPATIBILITY SameMinorVersion + ) + + install( + FILES + ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}-config.cmake + ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}-config-version.cmake + DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} + ) + + include(GeneratePkgConfigFile) + generate_pkg_config_file(${PROJECT_SOURCE_DIR}/libsecp256k1.pc.in) + install( + FILES + ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}.pc + DESTINATION ${CMAKE_INSTALL_LIBDIR}/pkgconfig + ) +endif() diff --git a/src/secp256k1/src/asm/field_10x26_arm.s b/src/secp256k1/src/asm/field_10x26_arm.s index 9a5bd067..664b9214 100644 --- a/src/secp256k1/src/asm/field_10x26_arm.s +++ b/src/secp256k1/src/asm/field_10x26_arm.s @@ -1,9 +1,9 @@ @ vim: set tabstop=8 softtabstop=8 shiftwidth=8 noexpandtab syntax=armasm: -/********************************************************************** - * Copyright (c) 2014 Wladimir J. van der Laan * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Wladimir J. van der Laan * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ /* ARM implementation of field_10x26 inner loops. @@ -29,6 +29,7 @@ Note: .align 2 .global secp256k1_fe_mul_inner .type secp256k1_fe_mul_inner, %function + .hidden secp256k1_fe_mul_inner @ Arguments: @ r0 r Restrict: can overlap with a, not with b @ r1 a @@ -516,6 +517,7 @@ secp256k1_fe_mul_inner: .align 2 .global secp256k1_fe_sqr_inner .type secp256k1_fe_sqr_inner, %function + .hidden secp256k1_fe_sqr_inner @ Arguments: @ r0 r Can overlap with a @ r1 a @@ -911,3 +913,4 @@ secp256k1_fe_sqr_inner: ldmfd sp!, {r4, r5, r6, r7, r8, r9, r10, r11, pc} .size secp256k1_fe_sqr_inner, .-secp256k1_fe_sqr_inner + .section .note.GNU-stack,"",%progbits diff --git a/src/secp256k1/src/assumptions.h b/src/secp256k1/src/assumptions.h new file mode 100644 index 00000000..79610053 --- /dev/null +++ b/src/secp256k1/src/assumptions.h @@ -0,0 +1,87 @@ +/*********************************************************************** + * Copyright (c) 2020 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_ASSUMPTIONS_H +#define SECP256K1_ASSUMPTIONS_H + +#include + +#include "util.h" +#if defined(SECP256K1_INT128_NATIVE) +#include "int128_native.h" +#endif + +/* This library, like most software, relies on a number of compiler implementation defined (but not undefined) + behaviours. Although the behaviours we require are essentially universal we test them specifically here to + reduce the odds of experiencing an unwelcome surprise. +*/ + +#if defined(__has_attribute) +# if __has_attribute(__unavailable__) +__attribute__((__unavailable__("Don't call this function. It only exists because STATIC_ASSERT cannot be used outside a function."))) +# endif +#endif +static void secp256k1_assumption_checker(void) { + /* Bytes are 8 bits. */ + STATIC_ASSERT(CHAR_BIT == 8); + + /* No integer promotion for uint32_t. This ensures that we can multiply uintXX_t values where XX >= 32 + without signed overflow, which would be undefined behaviour. */ + STATIC_ASSERT(UINT_MAX <= UINT32_MAX); + + /* Conversions from unsigned to signed outside of the bounds of the signed type are + implementation-defined. Verify that they function as reinterpreting the lower + bits of the input in two's complement notation. Do this for conversions: + - from uint(N)_t to int(N)_t with negative result + - from uint(2N)_t to int(N)_t with negative result + - from int(2N)_t to int(N)_t with negative result + - from int(2N)_t to int(N)_t with positive result */ + + /* To int8_t. */ + STATIC_ASSERT(((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55)); + STATIC_ASSERT((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33); + STATIC_ASSERT((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF); + STATIC_ASSERT((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34); + + /* To int16_t. */ + STATIC_ASSERT((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322); + STATIC_ASSERT((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C); + STATIC_ASSERT((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4); + STATIC_ASSERT((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678); + + /* To int32_t. */ + STATIC_ASSERT((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B); + STATIC_ASSERT((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE); + STATIC_ASSERT((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8); + STATIC_ASSERT((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789); + + /* To int64_t. */ + STATIC_ASSERT((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL); +#if defined(SECP256K1_INT128_NATIVE) + STATIC_ASSERT((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL); + STATIC_ASSERT(((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL); + STATIC_ASSERT(((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL); + + /* To int128_t. */ + STATIC_ASSERT((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)); +#endif + + /* Right shift on negative signed values is implementation defined. Verify that it + acts as a right shift in two's complement with sign extension (i.e duplicating + the top bit into newly added bits). */ + STATIC_ASSERT((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA); + STATIC_ASSERT((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A); + STATIC_ASSERT((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48); + STATIC_ASSERT((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL); +#if defined(SECP256K1_INT128_NATIVE) + STATIC_ASSERT((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)); +#endif + + /* This function is not supposed to be called. */ + VERIFY_CHECK(0); +} + +#endif /* SECP256K1_ASSUMPTIONS_H */ diff --git a/src/secp256k1/src/basic-config.h b/src/secp256k1/src/basic-config.h deleted file mode 100644 index e9be39d4..00000000 --- a/src/secp256k1/src/basic-config.h +++ /dev/null @@ -1,38 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_BASIC_CONFIG_H -#define SECP256K1_BASIC_CONFIG_H - -#ifdef USE_BASIC_CONFIG - -#undef USE_ASM_X86_64 -#undef USE_ECMULT_STATIC_PRECOMPUTATION -#undef USE_ENDOMORPHISM -#undef USE_EXTERNAL_ASM -#undef USE_EXTERNAL_DEFAULT_CALLBACKS -#undef USE_FIELD_10X26 -#undef USE_FIELD_5X52 -#undef USE_FIELD_INV_BUILTIN -#undef USE_FIELD_INV_NUM -#undef USE_NUM_GMP -#undef USE_NUM_NONE -#undef USE_SCALAR_4X64 -#undef USE_SCALAR_8X32 -#undef USE_SCALAR_INV_BUILTIN -#undef USE_SCALAR_INV_NUM -#undef ECMULT_WINDOW_SIZE - -#define USE_NUM_NONE 1 -#define USE_FIELD_INV_BUILTIN 1 -#define USE_SCALAR_INV_BUILTIN 1 -#define USE_FIELD_10X26 1 -#define USE_SCALAR_8X32 1 -#define ECMULT_WINDOW_SIZE 15 - -#endif /* USE_BASIC_CONFIG */ - -#endif /* SECP256K1_BASIC_CONFIG_H */ diff --git a/src/secp256k1/src/bench.c b/src/secp256k1/src/bench.c new file mode 100644 index 00000000..1127df67 --- /dev/null +++ b/src/secp256k1/src/bench.c @@ -0,0 +1,279 @@ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#include +#include + +#include "../include/secp256k1.h" +#include "util.h" +#include "bench.h" + +static void help(int default_iters) { + printf("Benchmarks the following algorithms:\n"); + printf(" - ECDSA signing/verification\n"); + +#ifdef ENABLE_MODULE_ECDH + printf(" - ECDH key exchange (optional module)\n"); +#endif + +#ifdef ENABLE_MODULE_RECOVERY + printf(" - Public key recovery (optional module)\n"); +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG + printf(" - Schnorr signatures (optional module)\n"); +#endif + + printf("\n"); + printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters); + printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n"); + printf("\n"); + printf("Usage: ./bench [args]\n"); + printf("By default, all benchmarks will be run.\n"); + printf("args:\n"); + printf(" help : display this help and exit\n"); + printf(" ecdsa : all ECDSA algorithms--sign, verify, recovery (if enabled)\n"); + printf(" ecdsa_sign : ECDSA siging algorithm\n"); + printf(" ecdsa_verify : ECDSA verification algorithm\n"); + printf(" ec : all EC public key algorithms (keygen)\n"); + printf(" ec_keygen : EC public key generation\n"); + +#ifdef ENABLE_MODULE_RECOVERY + printf(" ecdsa_recover : ECDSA public key recovery algorithm\n"); +#endif + +#ifdef ENABLE_MODULE_ECDH + printf(" ecdh : ECDH key exchange algorithm\n"); +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG + printf(" schnorrsig : all Schnorr signature algorithms (sign, verify)\n"); + printf(" schnorrsig_sign : Schnorr sigining algorithm\n"); + printf(" schnorrsig_verify : Schnorr verification algorithm\n"); +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT + printf(" ellswift : all ElligatorSwift benchmarks (encode, decode, keygen, ecdh)\n"); + printf(" ellswift_encode : ElligatorSwift encoding\n"); + printf(" ellswift_decode : ElligatorSwift decoding\n"); + printf(" ellswift_keygen : ElligatorSwift key generation\n"); + printf(" ellswift_ecdh : ECDH on ElligatorSwift keys\n"); +#endif + + printf("\n"); +} + +typedef struct { + secp256k1_context *ctx; + unsigned char msg[32]; + unsigned char key[32]; + unsigned char sig[72]; + size_t siglen; + unsigned char pubkey[33]; + size_t pubkeylen; +} bench_data; + +static void bench_verify(void* arg, int iters) { + int i; + bench_data* data = (bench_data*)arg; + + for (i = 0; i < iters; i++) { + secp256k1_pubkey pubkey; + secp256k1_ecdsa_signature sig; + data->sig[data->siglen - 1] ^= (i & 0xFF); + data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); + data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); + CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1); + CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0)); + data->sig[data->siglen - 1] ^= (i & 0xFF); + data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); + data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); + } +} + +static void bench_sign_setup(void* arg) { + int i; + bench_data *data = (bench_data*)arg; + + for (i = 0; i < 32; i++) { + data->msg[i] = i + 1; + } + for (i = 0; i < 32; i++) { + data->key[i] = i + 65; + } +} + +static void bench_sign_run(void* arg, int iters) { + int i; + bench_data *data = (bench_data*)arg; + + unsigned char sig[74]; + for (i = 0; i < iters; i++) { + size_t siglen = 74; + int j; + secp256k1_ecdsa_signature signature; + CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL)); + CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature)); + for (j = 0; j < 32; j++) { + data->msg[j] = sig[j]; + data->key[j] = sig[j + 32]; + } + } +} + +static void bench_keygen_setup(void* arg) { + int i; + bench_data *data = (bench_data*)arg; + + for (i = 0; i < 32; i++) { + data->key[i] = i + 65; + } +} + +static void bench_keygen_run(void *arg, int iters) { + int i; + bench_data *data = (bench_data*)arg; + + for (i = 0; i < iters; i++) { + unsigned char pub33[33]; + size_t len = 33; + secp256k1_pubkey pubkey; + CHECK(secp256k1_ec_pubkey_create(data->ctx, &pubkey, data->key)); + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, pub33, &len, &pubkey, SECP256K1_EC_COMPRESSED)); + memcpy(data->key, pub33 + 1, 32); + } +} + + +#ifdef ENABLE_MODULE_ECDH +# include "modules/ecdh/bench_impl.h" +#endif + +#ifdef ENABLE_MODULE_RECOVERY +# include "modules/recovery/bench_impl.h" +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG +# include "modules/schnorrsig/bench_impl.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/bench_impl.h" +#endif + +int main(int argc, char** argv) { + int i; + secp256k1_pubkey pubkey; + secp256k1_ecdsa_signature sig; + bench_data data; + + int d = argc == 1; + int default_iters = 20000; + int iters = get_iters(default_iters); + + /* Check for invalid user arguments */ + char* valid_args[] = {"ecdsa", "verify", "ecdsa_verify", "sign", "ecdsa_sign", "ecdh", "recover", + "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign", "ec", + "keygen", "ec_keygen", "ellswift", "encode", "ellswift_encode", "decode", + "ellswift_decode", "ellswift_keygen", "ellswift_ecdh"}; + size_t valid_args_size = sizeof(valid_args)/sizeof(valid_args[0]); + int invalid_args = have_invalid_args(argc, argv, valid_args, valid_args_size); + + if (argc > 1) { + if (have_flag(argc, argv, "-h") + || have_flag(argc, argv, "--help") + || have_flag(argc, argv, "help")) { + help(default_iters); + return 0; + } else if (invalid_args) { + fprintf(stderr, "./bench: unrecognized argument.\n\n"); + help(default_iters); + return 1; + } + } + +/* Check if the user tries to benchmark optional module without building it */ +#ifndef ENABLE_MODULE_ECDH + if (have_flag(argc, argv, "ecdh")) { + fprintf(stderr, "./bench: ECDH module not enabled.\n"); + fprintf(stderr, "Use ./configure --enable-module-ecdh.\n\n"); + return 1; + } +#endif + +#ifndef ENABLE_MODULE_RECOVERY + if (have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) { + fprintf(stderr, "./bench: Public key recovery module not enabled.\n"); + fprintf(stderr, "Use ./configure --enable-module-recovery.\n\n"); + return 1; + } +#endif + +#ifndef ENABLE_MODULE_SCHNORRSIG + if (have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "schnorrsig_sign") || have_flag(argc, argv, "schnorrsig_verify")) { + fprintf(stderr, "./bench: Schnorr signatures module not enabled.\n"); + fprintf(stderr, "Use ./configure --enable-module-schnorrsig.\n\n"); + return 1; + } +#endif + +#ifndef ENABLE_MODULE_ELLSWIFT + if (have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "ellswift_encode") || have_flag(argc, argv, "ellswift_decode") || + have_flag(argc, argv, "encode") || have_flag(argc, argv, "decode") || have_flag(argc, argv, "ellswift_keygen") || + have_flag(argc, argv, "ellswift_ecdh")) { + fprintf(stderr, "./bench: ElligatorSwift module not enabled.\n"); + fprintf(stderr, "Use ./configure --enable-module-ellswift.\n\n"); + return 1; + } +#endif + + /* ECDSA benchmark */ + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + + for (i = 0; i < 32; i++) { + data.msg[i] = 1 + i; + } + for (i = 0; i < 32; i++) { + data.key[i] = 33 + i; + } + data.siglen = 72; + CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL)); + CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig)); + CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key)); + data.pubkeylen = 33; + CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + + print_output_table_header_row(); + if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "ecdsa_verify")) run_benchmark("ecdsa_verify", bench_verify, NULL, NULL, &data, 10, iters); + + if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "ecdsa_sign")) run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ec") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ec_keygen")) run_benchmark("ec_keygen", bench_keygen_run, bench_keygen_setup, NULL, &data, 10, iters); + + secp256k1_context_destroy(data.ctx); + +#ifdef ENABLE_MODULE_ECDH + /* ECDH benchmarks */ + run_ecdh_bench(iters, argc, argv); +#endif + +#ifdef ENABLE_MODULE_RECOVERY + /* ECDSA recovery benchmarks */ + run_recovery_bench(iters, argc, argv); +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG + /* Schnorr signature benchmarks */ + run_schnorrsig_bench(iters, argc, argv); +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT + /* ElligatorSwift benchmarks */ + run_ellswift_bench(iters, argc, argv); +#endif + + return 0; +} diff --git a/src/secp256k1/src/bench.h b/src/secp256k1/src/bench.h index b8a1c2b4..1564b1a1 100644 --- a/src/secp256k1/src/bench.h +++ b/src/secp256k1/src/bench.h @@ -1,30 +1,46 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_BENCH_H #define SECP256K1_BENCH_H +#include #include #include #include -#include "sys/time.h" + +#if (defined(_MSC_VER) && _MSC_VER >= 1900) +# include +#else +# include +#endif static int64_t gettime_i64(void) { +#if (defined(_MSC_VER) && _MSC_VER >= 1900) + /* C11 way to get wallclock time */ + struct timespec tv; + if (!timespec_get(&tv, TIME_UTC)) { + fputs("timespec_get failed!", stderr); + exit(1); + } + return (int64_t)tv.tv_nsec / 1000 + (int64_t)tv.tv_sec * 1000000LL; +#else struct timeval tv; gettimeofday(&tv, NULL); return (int64_t)tv.tv_usec + (int64_t)tv.tv_sec * 1000000LL; +#endif } #define FP_EXP (6) #define FP_MULT (1000000LL) /* Format fixed point number. */ -void print_number(const int64_t x) { +static void print_number(const int64_t x) { int64_t x_abs, y; - int c, i, rounding; + int c, i, rounding, g; /* g = integer part size, c = fractional part size */ size_t ptr; char buffer[30]; @@ -56,24 +72,30 @@ void print_number(const int64_t x) { /* Format and print the number. */ ptr = sizeof(buffer) - 1; buffer[ptr] = 0; - if (c != 0) { + g = 0; + if (c != 0) { /* non zero fractional part */ for (i = 0; i < c; ++i) { buffer[--ptr] = '0' + (y % 10); y /= 10; } - buffer[--ptr] = '.'; + } else if (c == 0) { /* fractional part is 0 */ + buffer[--ptr] = '0'; } + buffer[--ptr] = '.'; do { buffer[--ptr] = '0' + (y % 10); y /= 10; + g++; } while (y != 0); if (x < 0) { buffer[--ptr] = '-'; + g++; } - printf("%s", &buffer[ptr]); + printf("%5.*s", g, &buffer[ptr]); /* Prints integer part */ + printf("%-*s", FP_EXP, &buffer[ptr + g]); /* Prints fractional part */ } -void run_benchmark(char *name, void (*benchmark)(void*), void (*setup)(void*), void (*teardown)(void*), void* data, int count, int iter) { +static void run_benchmark(char *name, void (*benchmark)(void*, int), void (*setup)(void*), void (*teardown)(void*, int), void* data, int count, int iter) { int i; int64_t min = INT64_MAX; int64_t sum = 0; @@ -84,10 +106,10 @@ void run_benchmark(char *name, void (*benchmark)(void*), void (*setup)(void*), v setup(data); } begin = gettime_i64(); - benchmark(data); + benchmark(data, iter); total = gettime_i64() - begin; if (teardown != NULL) { - teardown(data); + teardown(data, iter); } if (total < min) { min = total; @@ -97,22 +119,20 @@ void run_benchmark(char *name, void (*benchmark)(void*), void (*setup)(void*), v } sum += total; } - printf("%s: min ", name); + /* ',' is used as a column delimiter */ + printf("%-30s, ", name); print_number(min * FP_MULT / iter); - printf("us / avg "); + printf(" , "); print_number(((sum * FP_MULT) / count) / iter); - printf("us / max "); + printf(" , "); print_number(max * FP_MULT / iter); - printf("us\n"); + printf("\n"); } -int have_flag(int argc, char** argv, char *flag) { +static int have_flag(int argc, char** argv, char *flag) { char** argm = argv + argc; argv++; - if (argv == argm) { - return 1; - } - while (argv != NULL && argv != argm) { + while (argv != argm) { if (strcmp(*argv, flag) == 0) { return 1; } @@ -121,4 +141,48 @@ int have_flag(int argc, char** argv, char *flag) { return 0; } +/* takes an array containing the arguments that the user is allowed to enter on the command-line + returns: + - 1 if the user entered an invalid argument + - 0 if all the user entered arguments are valid */ +static int have_invalid_args(int argc, char** argv, char** valid_args, size_t n) { + size_t i; + int found_valid; + char** argm = argv + argc; + argv++; + + while (argv != argm) { + found_valid = 0; + for (i = 0; i < n; i++) { + if (strcmp(*argv, valid_args[i]) == 0) { + found_valid = 1; /* user entered a valid arg from the list */ + break; + } + } + if (found_valid == 0) { + return 1; /* invalid arg found */ + } + argv++; + } + return 0; +} + +static int get_iters(int default_iters) { + char* env = getenv("SECP256K1_BENCH_ITERS"); + if (env) { + return strtol(env, NULL, 0); + } else { + return default_iters; + } +} + +static void print_output_table_header_row(void) { + char* bench_str = "Benchmark"; /* left justified */ + char* min_str = " Min(us) "; /* center alignment */ + char* avg_str = " Avg(us) "; + char* max_str = " Max(us) "; + printf("%-30s,%-15s,%-15s,%-15s\n", bench_str, min_str, avg_str, max_str); + printf("\n"); +} + #endif /* SECP256K1_BENCH_H */ diff --git a/src/secp256k1/src/bench_ecmult.c b/src/secp256k1/src/bench_ecmult.c index 7b5d185d..3974af75 100644 --- a/src/secp256k1/src/bench_ecmult.c +++ b/src/secp256k1/src/bench_ecmult.c @@ -1,24 +1,37 @@ -/********************************************************************** - * Copyright (c) 2017 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2017 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #include -#include "include/secp256k1.h" +#include "secp256k1.c" +#include "../include/secp256k1.h" #include "util.h" #include "hash_impl.h" -#include "num_impl.h" #include "field_impl.h" #include "group_impl.h" #include "scalar_impl.h" #include "ecmult_impl.h" #include "bench.h" -#include "secp256k1.c" #define POINTS 32768 -#define ITERS 10000 + +static void help(char **argv) { + printf("Benchmark EC multiplication algorithms\n"); + printf("\n"); + printf("Usage: %s \n", argv[0]); + printf("The output shows the number of multiplied and summed points right after the\n"); + printf("function name. The letter 'g' indicates that one of the points is the generator.\n"); + printf("The benchmarks are divided by the number of points.\n"); + printf("\n"); + printf("default (ecmult_multi): picks pippenger_wnaf or strauss_wnaf depending on the\n"); + printf(" batch size\n"); + printf("pippenger_wnaf: for all batch sizes\n"); + printf("strauss_wnaf: for all batch sizes\n"); + printf("simple: multiply and sum each point individually\n"); +} typedef struct { /* Setup once in advance */ @@ -26,23 +39,149 @@ typedef struct { secp256k1_scratch_space* scratch; secp256k1_scalar* scalars; secp256k1_ge* pubkeys; + secp256k1_gej* pubkeys_gej; secp256k1_scalar* seckeys; secp256k1_gej* expected_output; secp256k1_ecmult_multi_func ecmult_multi; - /* Changes per test */ + /* Changes per benchmark */ size_t count; int includes_g; - /* Changes per test iteration */ + /* Changes per benchmark iteration, used to pick different scalars and pubkeys + * in each run. */ size_t offset1; size_t offset2; - /* Test output. */ + /* Benchmark output. */ secp256k1_gej* output; } bench_data; -static int bench_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) { +/* Hashes x into [0, POINTS) twice and store the result in offset1 and offset2. */ +static void hash_into_offset(bench_data* data, size_t x) { + data->offset1 = (x * 0x537b7f6f + 0x8f66a481) % POINTS; + data->offset2 = (x * 0x7f6f537b + 0x6a1a8f49) % POINTS; +} + +/* Check correctness of the benchmark by computing + * sum(outputs) ?= (sum(scalars_gen) + sum(seckeys)*sum(scalars))*G */ +static void bench_ecmult_teardown_helper(bench_data* data, size_t* seckey_offset, size_t* scalar_offset, size_t* scalar_gen_offset, int iters) { + int i; + secp256k1_gej sum_output, tmp; + secp256k1_scalar sum_scalars; + + secp256k1_gej_set_infinity(&sum_output); + secp256k1_scalar_set_int(&sum_scalars, 0); + for (i = 0; i < iters; ++i) { + secp256k1_gej_add_var(&sum_output, &sum_output, &data->output[i], NULL); + if (scalar_gen_offset != NULL) { + secp256k1_scalar_add(&sum_scalars, &sum_scalars, &data->scalars[(*scalar_gen_offset+i) % POINTS]); + } + if (seckey_offset != NULL) { + secp256k1_scalar s = data->seckeys[(*seckey_offset+i) % POINTS]; + secp256k1_scalar_mul(&s, &s, &data->scalars[(*scalar_offset+i) % POINTS]); + secp256k1_scalar_add(&sum_scalars, &sum_scalars, &s); + } + } + secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &tmp, &sum_scalars); + CHECK(secp256k1_gej_eq_var(&tmp, &sum_output)); +} + +static void bench_ecmult_setup(void* arg) { + bench_data* data = (bench_data*)arg; + /* Re-randomize offset to ensure that we're using different scalars and + * group elements in each run. */ + hash_into_offset(data, data->offset1); +} + +static void bench_ecmult_gen(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters; ++i) { + secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &data->output[i], &data->scalars[(data->offset1+i) % POINTS]); + } +} + +static void bench_ecmult_gen_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters); +} + +static void bench_ecmult_const(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters; ++i) { + secp256k1_ecmult_const(&data->output[i], &data->pubkeys[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS]); + } +} + +static void bench_ecmult_const_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters); +} + +static void bench_ecmult_1p(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters; ++i) { + secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], NULL); + } +} + +static void bench_ecmult_1p_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters); +} + +static void bench_ecmult_0p_g(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters; ++i) { + secp256k1_ecmult(&data->output[i], NULL, &secp256k1_scalar_zero, &data->scalars[(data->offset1+i) % POINTS]); + } +} + +static void bench_ecmult_0p_g_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters); +} + +static void bench_ecmult_1p_g(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters/2; ++i) { + secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], &data->scalars[(data->offset1+i) % POINTS]); + } +} + +static void bench_ecmult_1p_g_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, &data->offset1, iters/2); +} + +static void run_ecmult_bench(bench_data* data, int iters) { + char str[32]; + sprintf(str, "ecmult_gen"); + run_benchmark(str, bench_ecmult_gen, bench_ecmult_setup, bench_ecmult_gen_teardown, data, 10, iters); + sprintf(str, "ecmult_const"); + run_benchmark(str, bench_ecmult_const, bench_ecmult_setup, bench_ecmult_const_teardown, data, 10, iters); + /* ecmult with non generator point */ + sprintf(str, "ecmult_1p"); + run_benchmark(str, bench_ecmult_1p, bench_ecmult_setup, bench_ecmult_1p_teardown, data, 10, iters); + /* ecmult with generator point */ + sprintf(str, "ecmult_0p_g"); + run_benchmark(str, bench_ecmult_0p_g, bench_ecmult_setup, bench_ecmult_0p_g_teardown, data, 10, iters); + /* ecmult with generator and non-generator point. The reported time is per point. */ + sprintf(str, "ecmult_1p_g"); + run_benchmark(str, bench_ecmult_1p_g, bench_ecmult_setup, bench_ecmult_1p_g_teardown, data, 10, 2*iters); +} + +static int bench_ecmult_multi_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) { bench_data* data = (bench_data*)arg; if (data->includes_g) ++idx; if (idx == 0) { @@ -55,31 +194,30 @@ static int bench_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, vo return 1; } -static void bench_ecmult(void* arg) { +static void bench_ecmult_multi(void* arg, int iters) { bench_data* data = (bench_data*)arg; - size_t count = data->count; int includes_g = data->includes_g; - size_t iters = 1 + ITERS / count; - size_t iter; + int iter; + int count = data->count; + iters = iters / data->count; for (iter = 0; iter < iters; ++iter) { - data->ecmult_multi(&data->ctx->error_callback, &data->ctx->ecmult_ctx, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_callback, arg, count - includes_g); + data->ecmult_multi(&data->ctx->error_callback, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_ecmult_multi_callback, arg, count - includes_g); data->offset1 = (data->offset1 + count) % POINTS; data->offset2 = (data->offset2 + count - 1) % POINTS; } } -static void bench_ecmult_setup(void* arg) { +static void bench_ecmult_multi_setup(void* arg) { bench_data* data = (bench_data*)arg; - data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS; - data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS; + hash_into_offset(data, data->count); } -static void bench_ecmult_teardown(void* arg) { +static void bench_ecmult_multi_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; - size_t iters = 1 + ITERS / data->count; - size_t iter; + int iter; + iters = iters / data->count; /* Verify the results in teardown, to avoid doing comparisons while benchmarking. */ for (iter = 0; iter < iters; ++iter) { secp256k1_gej tmp; @@ -90,7 +228,7 @@ static void bench_ecmult_teardown(void* arg) { static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) { secp256k1_sha256 sha256; - unsigned char c[11] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0}; + unsigned char c[10] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0}; unsigned char buf[32]; int overflow = 0; c[6] = num; @@ -104,18 +242,16 @@ static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) { CHECK(!overflow); } -static void run_test(bench_data* data, size_t count, int includes_g) { +static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_g, int num_iters) { char str[32]; - static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - size_t iters = 1 + ITERS / count; + size_t iters = 1 + num_iters / count; size_t iter; data->count = count; data->includes_g = includes_g; /* Compute (the negation of) the expected results directly. */ - data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS; - data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS; + hash_into_offset(data, data->count); for (iter = 0; iter < iters; ++iter) { secp256k1_scalar tmp; secp256k1_scalar total = data->scalars[(data->offset1++) % POINTS]; @@ -125,27 +261,34 @@ static void run_test(bench_data* data, size_t count, int includes_g) { secp256k1_scalar_add(&total, &total, &tmp); } secp256k1_scalar_negate(&total, &total); - secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->expected_output[iter], NULL, &zero, &total); + secp256k1_ecmult(&data->expected_output[iter], NULL, &secp256k1_scalar_zero, &total); } /* Run the benchmark. */ - sprintf(str, includes_g ? "ecmult_%ig" : "ecmult_%i", (int)count); - run_benchmark(str, bench_ecmult, bench_ecmult_setup, bench_ecmult_teardown, data, 10, count * (1 + ITERS / count)); + if (includes_g) { + sprintf(str, "ecmult_multi_%ip_g", (int)count - 1); + } else { + sprintf(str, "ecmult_multi_%ip", (int)count); + } + run_benchmark(str, bench_ecmult_multi, bench_ecmult_multi_setup, bench_ecmult_multi_teardown, data, 10, count * iters); } int main(int argc, char **argv) { bench_data data; int i, p; - secp256k1_gej* pubkeys_gej; size_t scratch_size; - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16; - data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size); + int iters = get_iters(10000); + data.ecmult_multi = secp256k1_ecmult_multi_var; if (argc > 1) { - if(have_flag(argc, argv, "pippenger_wnaf")) { + if(have_flag(argc, argv, "-h") + || have_flag(argc, argv, "--help") + || have_flag(argc, argv, "help")) { + help(argv); + return 0; + } else if(have_flag(argc, argv, "pippenger_wnaf")) { printf("Using pippenger_wnaf:\n"); data.ecmult_multi = secp256k1_ecmult_pippenger_batch_single; } else if(have_flag(argc, argv, "strauss_wnaf")) { @@ -153,52 +296,69 @@ int main(int argc, char **argv) { data.ecmult_multi = secp256k1_ecmult_strauss_batch_single; } else if(have_flag(argc, argv, "simple")) { printf("Using simple algorithm:\n"); - data.ecmult_multi = secp256k1_ecmult_multi_var; - secp256k1_scratch_space_destroy(data.ctx, data.scratch); - data.scratch = NULL; } else { - fprintf(stderr, "%s: unrecognized argument '%s'.\n", argv[0], argv[1]); - fprintf(stderr, "Use 'pippenger_wnaf', 'strauss_wnaf', 'simple' or no argument to benchmark a combined algorithm.\n"); + fprintf(stderr, "%s: unrecognized argument '%s'.\n\n", argv[0], argv[1]); + help(argv); return 1; } } + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16; + if (!have_flag(argc, argv, "simple")) { + data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size); + } else { + data.scratch = NULL; + } + /* Allocate stuff */ data.scalars = malloc(sizeof(secp256k1_scalar) * POINTS); data.seckeys = malloc(sizeof(secp256k1_scalar) * POINTS); data.pubkeys = malloc(sizeof(secp256k1_ge) * POINTS); - data.expected_output = malloc(sizeof(secp256k1_gej) * (ITERS + 1)); - data.output = malloc(sizeof(secp256k1_gej) * (ITERS + 1)); + data.pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS); + data.expected_output = malloc(sizeof(secp256k1_gej) * (iters + 1)); + data.output = malloc(sizeof(secp256k1_gej) * (iters + 1)); /* Generate a set of scalars, and private/public keypairs. */ - pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS); - secp256k1_gej_set_ge(&pubkeys_gej[0], &secp256k1_ge_const_g); + secp256k1_gej_set_ge(&data.pubkeys_gej[0], &secp256k1_ge_const_g); secp256k1_scalar_set_int(&data.seckeys[0], 1); for (i = 0; i < POINTS; ++i) { generate_scalar(i, &data.scalars[i]); if (i) { - secp256k1_gej_double_var(&pubkeys_gej[i], &pubkeys_gej[i - 1], NULL); + secp256k1_gej_double_var(&data.pubkeys_gej[i], &data.pubkeys_gej[i - 1], NULL); secp256k1_scalar_add(&data.seckeys[i], &data.seckeys[i - 1], &data.seckeys[i - 1]); } } - secp256k1_ge_set_all_gej_var(data.pubkeys, pubkeys_gej, POINTS); - free(pubkeys_gej); + secp256k1_ge_set_all_gej_var(data.pubkeys, data.pubkeys_gej, POINTS); + + + print_output_table_header_row(); + /* Initialize offset1 and offset2 */ + hash_into_offset(&data, 0); + run_ecmult_bench(&data, iters); for (i = 1; i <= 8; ++i) { - run_test(&data, i, 1); + run_ecmult_multi_bench(&data, i, 1, iters); } - for (p = 0; p <= 11; ++p) { - for (i = 9; i <= 16; ++i) { - run_test(&data, i << p, 1); + /* This is disabled with low count of iterations because the loop runs 77 times even with iters=1 + * and the higher it goes the longer the computation takes(more points) + * So we don't run this benchmark with low iterations to prevent slow down */ + if (iters > 2) { + for (p = 0; p <= 11; ++p) { + for (i = 9; i <= 16; ++i) { + run_ecmult_multi_bench(&data, i << p, 1, iters); + } } } + if (data.scratch != NULL) { secp256k1_scratch_space_destroy(data.ctx, data.scratch); } secp256k1_context_destroy(data.ctx); free(data.scalars); free(data.pubkeys); + free(data.pubkeys_gej); free(data.seckeys); free(data.output); free(data.expected_output); diff --git a/src/secp256k1/src/bench_internal.c b/src/secp256k1/src/bench_internal.c index 9159c0a7..a7006849 100644 --- a/src/secp256k1/src/bench_internal.c +++ b/src/secp256k1/src/bench_internal.c @@ -1,379 +1,436 @@ -/********************************************************************** - * Copyright (c) 2014-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #include -#include "include/secp256k1.h" +#include "secp256k1.c" +#include "../include/secp256k1.h" +#include "assumptions.h" #include "util.h" #include "hash_impl.h" -#include "num_impl.h" #include "field_impl.h" #include "group_impl.h" #include "scalar_impl.h" -#include "ecmult_const_impl.h" #include "ecmult_impl.h" #include "bench.h" -#include "secp256k1.c" + +static void help(int default_iters) { + printf("Benchmarks various internal routines.\n"); + printf("\n"); + printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters); + printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n"); + printf("\n"); + printf("Usage: ./bench_internal [args]\n"); + printf("By default, all benchmarks will be run.\n"); + printf("args:\n"); + printf(" help : display this help and exit\n"); + printf(" scalar : all scalar operations (add, half, inverse, mul, negate, split)\n"); + printf(" field : all field operations (half, inverse, issquare, mul, normalize, sqr, sqrt)\n"); + printf(" group : all group operations (add, double, to_affine)\n"); + printf(" ecmult : all point multiplication operations (ecmult_wnaf) \n"); + printf(" hash : all hash algorithms (hmac, rng6979, sha256)\n"); + printf(" context : all context object operations (context_create)\n"); + printf("\n"); +} typedef struct { - secp256k1_scalar scalar_x, scalar_y; - secp256k1_fe fe_x, fe_y; - secp256k1_ge ge_x, ge_y; - secp256k1_gej gej_x, gej_y; + secp256k1_scalar scalar[2]; + secp256k1_fe fe[4]; + secp256k1_ge ge[2]; + secp256k1_gej gej[2]; unsigned char data[64]; int wnaf[256]; } bench_inv; -void bench_setup(void* arg) { +static void bench_setup(void* arg) { bench_inv *data = (bench_inv*)arg; - static const unsigned char init_x[32] = { - 0x02, 0x03, 0x05, 0x07, 0x0b, 0x0d, 0x11, 0x13, - 0x17, 0x1d, 0x1f, 0x25, 0x29, 0x2b, 0x2f, 0x35, - 0x3b, 0x3d, 0x43, 0x47, 0x49, 0x4f, 0x53, 0x59, - 0x61, 0x65, 0x67, 0x6b, 0x6d, 0x71, 0x7f, 0x83 - }; - - static const unsigned char init_y[32] = { - 0x82, 0x83, 0x85, 0x87, 0x8b, 0x8d, 0x81, 0x83, - 0x97, 0xad, 0xaf, 0xb5, 0xb9, 0xbb, 0xbf, 0xc5, - 0xdb, 0xdd, 0xe3, 0xe7, 0xe9, 0xef, 0xf3, 0xf9, - 0x11, 0x15, 0x17, 0x1b, 0x1d, 0xb1, 0xbf, 0xd3 + static const unsigned char init[4][32] = { + /* Initializer for scalar[0], fe[0], first half of data, the X coordinate of ge[0], + and the (implied affine) X coordinate of gej[0]. */ + { + 0x02, 0x03, 0x05, 0x07, 0x0b, 0x0d, 0x11, 0x13, + 0x17, 0x1d, 0x1f, 0x25, 0x29, 0x2b, 0x2f, 0x35, + 0x3b, 0x3d, 0x43, 0x47, 0x49, 0x4f, 0x53, 0x59, + 0x61, 0x65, 0x67, 0x6b, 0x6d, 0x71, 0x7f, 0x83 + }, + /* Initializer for scalar[1], fe[1], first half of data, the X coordinate of ge[1], + and the (implied affine) X coordinate of gej[1]. */ + { + 0x82, 0x83, 0x85, 0x87, 0x8b, 0x8d, 0x81, 0x83, + 0x97, 0xad, 0xaf, 0xb5, 0xb9, 0xbb, 0xbf, 0xc5, + 0xdb, 0xdd, 0xe3, 0xe7, 0xe9, 0xef, 0xf3, 0xf9, + 0x11, 0x15, 0x17, 0x1b, 0x1d, 0xb1, 0xbf, 0xd3 + }, + /* Initializer for fe[2] and the Z coordinate of gej[0]. */ + { + 0x3d, 0x2d, 0xef, 0xf4, 0x25, 0x98, 0x4f, 0x5d, + 0xe2, 0xca, 0x5f, 0x41, 0x3f, 0x3f, 0xce, 0x44, + 0xaa, 0x2c, 0x53, 0x8a, 0xc6, 0x59, 0x1f, 0x38, + 0x38, 0x23, 0xe4, 0x11, 0x27, 0xc6, 0xa0, 0xe7 + }, + /* Initializer for fe[3] and the Z coordinate of gej[1]. */ + { + 0xbd, 0x21, 0xa5, 0xe1, 0x13, 0x50, 0x73, 0x2e, + 0x52, 0x98, 0xc8, 0x9e, 0xab, 0x00, 0xa2, 0x68, + 0x43, 0xf5, 0xd7, 0x49, 0x80, 0x72, 0xa7, 0xf3, + 0xd7, 0x60, 0xe6, 0xab, 0x90, 0x92, 0xdf, 0xc5 + } }; - secp256k1_scalar_set_b32(&data->scalar_x, init_x, NULL); - secp256k1_scalar_set_b32(&data->scalar_y, init_y, NULL); - secp256k1_fe_set_b32(&data->fe_x, init_x); - secp256k1_fe_set_b32(&data->fe_y, init_y); - CHECK(secp256k1_ge_set_xo_var(&data->ge_x, &data->fe_x, 0)); - CHECK(secp256k1_ge_set_xo_var(&data->ge_y, &data->fe_y, 1)); - secp256k1_gej_set_ge(&data->gej_x, &data->ge_x); - secp256k1_gej_set_ge(&data->gej_y, &data->ge_y); - memcpy(data->data, init_x, 32); - memcpy(data->data + 32, init_y, 32); + secp256k1_scalar_set_b32(&data->scalar[0], init[0], NULL); + secp256k1_scalar_set_b32(&data->scalar[1], init[1], NULL); + secp256k1_fe_set_b32_limit(&data->fe[0], init[0]); + secp256k1_fe_set_b32_limit(&data->fe[1], init[1]); + secp256k1_fe_set_b32_limit(&data->fe[2], init[2]); + secp256k1_fe_set_b32_limit(&data->fe[3], init[3]); + CHECK(secp256k1_ge_set_xo_var(&data->ge[0], &data->fe[0], 0)); + CHECK(secp256k1_ge_set_xo_var(&data->ge[1], &data->fe[1], 1)); + secp256k1_gej_set_ge(&data->gej[0], &data->ge[0]); + secp256k1_gej_rescale(&data->gej[0], &data->fe[2]); + secp256k1_gej_set_ge(&data->gej[1], &data->ge[1]); + secp256k1_gej_rescale(&data->gej[1], &data->fe[3]); + memcpy(data->data, init[0], 32); + memcpy(data->data + 32, init[1], 32); } -void bench_scalar_add(void* arg) { +static void bench_scalar_add(void* arg, int iters) { int i, j = 0; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 2000000; i++) { - j += secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; i++) { + j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]); } - CHECK(j <= 2000000); + CHECK(j <= iters); } -void bench_scalar_negate(void* arg) { +static void bench_scalar_negate(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 2000000; i++) { - secp256k1_scalar_negate(&data->scalar_x, &data->scalar_x); + for (i = 0; i < iters; i++) { + secp256k1_scalar_negate(&data->scalar[0], &data->scalar[0]); } } -void bench_scalar_sqr(void* arg) { +static void bench_scalar_half(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; + secp256k1_scalar s = data->scalar[0]; - for (i = 0; i < 200000; i++) { - secp256k1_scalar_sqr(&data->scalar_x, &data->scalar_x); + for (i = 0; i < iters; i++) { + secp256k1_scalar_half(&s, &s); } + + data->scalar[0] = s; } -void bench_scalar_mul(void* arg) { +static void bench_scalar_mul(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_scalar_mul(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; i++) { + secp256k1_scalar_mul(&data->scalar[0], &data->scalar[0], &data->scalar[1]); } } -#ifdef USE_ENDOMORPHISM -void bench_scalar_split(void* arg) { +static void bench_scalar_split(void* arg, int iters) { int i, j = 0; bench_inv *data = (bench_inv*)arg; + secp256k1_scalar tmp; - for (i = 0; i < 20000; i++) { - secp256k1_scalar_split_lambda(&data->scalar_x, &data->scalar_y, &data->scalar_x); - j += secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; i++) { + secp256k1_scalar_split_lambda(&tmp, &data->scalar[1], &data->scalar[0]); + j += secp256k1_scalar_add(&data->scalar[0], &tmp, &data->scalar[1]); } - CHECK(j <= 20000); + CHECK(j <= iters); } -#endif -void bench_scalar_inverse(void* arg) { +static void bench_scalar_inverse(void* arg, int iters) { int i, j = 0; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 2000; i++) { - secp256k1_scalar_inverse(&data->scalar_x, &data->scalar_x); - j += secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; i++) { + secp256k1_scalar_inverse(&data->scalar[0], &data->scalar[0]); + j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]); } - CHECK(j <= 2000); + CHECK(j <= iters); } -void bench_scalar_inverse_var(void* arg) { +static void bench_scalar_inverse_var(void* arg, int iters) { int i, j = 0; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 2000; i++) { - secp256k1_scalar_inverse_var(&data->scalar_x, &data->scalar_x); - j += secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; i++) { + secp256k1_scalar_inverse_var(&data->scalar[0], &data->scalar[0]); + j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]); } - CHECK(j <= 2000); + CHECK(j <= iters); } -void bench_field_normalize(void* arg) { +static void bench_field_half(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 2000000; i++) { - secp256k1_fe_normalize(&data->fe_x); + for (i = 0; i < iters; i++) { + secp256k1_fe_half(&data->fe[0]); } } -void bench_field_normalize_weak(void* arg) { +static void bench_field_normalize(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 2000000; i++) { - secp256k1_fe_normalize_weak(&data->fe_x); + for (i = 0; i < iters; i++) { + secp256k1_fe_normalize(&data->fe[0]); } } -void bench_field_mul(void* arg) { +static void bench_field_normalize_weak(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_fe_mul(&data->fe_x, &data->fe_x, &data->fe_y); + for (i = 0; i < iters; i++) { + secp256k1_fe_normalize_weak(&data->fe[0]); } } -void bench_field_sqr(void* arg) { +static void bench_field_mul(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_fe_sqr(&data->fe_x, &data->fe_x); + for (i = 0; i < iters; i++) { + secp256k1_fe_mul(&data->fe[0], &data->fe[0], &data->fe[1]); } } -void bench_field_inverse(void* arg) { +static void bench_field_sqr(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 20000; i++) { - secp256k1_fe_inv(&data->fe_x, &data->fe_x); - secp256k1_fe_add(&data->fe_x, &data->fe_y); + for (i = 0; i < iters; i++) { + secp256k1_fe_sqr(&data->fe[0], &data->fe[0]); } } -void bench_field_inverse_var(void* arg) { +static void bench_field_inverse(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 20000; i++) { - secp256k1_fe_inv_var(&data->fe_x, &data->fe_x); - secp256k1_fe_add(&data->fe_x, &data->fe_y); + for (i = 0; i < iters; i++) { + secp256k1_fe_inv(&data->fe[0], &data->fe[0]); + secp256k1_fe_add(&data->fe[0], &data->fe[1]); } } -void bench_field_sqrt(void* arg) { +static void bench_field_inverse_var(void* arg, int iters) { + int i; + bench_inv *data = (bench_inv*)arg; + + for (i = 0; i < iters; i++) { + secp256k1_fe_inv_var(&data->fe[0], &data->fe[0]); + secp256k1_fe_add(&data->fe[0], &data->fe[1]); + } +} + +static void bench_field_sqrt(void* arg, int iters) { int i, j = 0; bench_inv *data = (bench_inv*)arg; secp256k1_fe t; - for (i = 0; i < 20000; i++) { - t = data->fe_x; - j += secp256k1_fe_sqrt(&data->fe_x, &t); - secp256k1_fe_add(&data->fe_x, &data->fe_y); + for (i = 0; i < iters; i++) { + t = data->fe[0]; + j += secp256k1_fe_sqrt(&data->fe[0], &t); + secp256k1_fe_add(&data->fe[0], &data->fe[1]); + } + CHECK(j <= iters); +} + +static void bench_field_is_square_var(void* arg, int iters) { + int i, j = 0; + bench_inv *data = (bench_inv*)arg; + secp256k1_fe t = data->fe[0]; + + for (i = 0; i < iters; i++) { + j += secp256k1_fe_is_square_var(&t); + secp256k1_fe_add(&t, &data->fe[1]); + secp256k1_fe_normalize_var(&t); } - CHECK(j <= 20000); + CHECK(j <= iters); } -void bench_group_double_var(void* arg) { +static void bench_group_double_var(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_gej_double_var(&data->gej_x, &data->gej_x, NULL); + for (i = 0; i < iters; i++) { + secp256k1_gej_double_var(&data->gej[0], &data->gej[0], NULL); } } -void bench_group_add_var(void* arg) { +static void bench_group_add_var(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_gej_add_var(&data->gej_x, &data->gej_x, &data->gej_y, NULL); + for (i = 0; i < iters; i++) { + secp256k1_gej_add_var(&data->gej[0], &data->gej[0], &data->gej[1], NULL); } } -void bench_group_add_affine(void* arg) { +static void bench_group_add_affine(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_gej_add_ge(&data->gej_x, &data->gej_x, &data->ge_y); + for (i = 0; i < iters; i++) { + secp256k1_gej_add_ge(&data->gej[0], &data->gej[0], &data->ge[1]); } } -void bench_group_add_affine_var(void* arg) { +static void bench_group_add_affine_var(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 200000; i++) { - secp256k1_gej_add_ge_var(&data->gej_x, &data->gej_x, &data->ge_y, NULL); + for (i = 0; i < iters; i++) { + secp256k1_gej_add_ge_var(&data->gej[0], &data->gej[0], &data->ge[1], NULL); } } -void bench_group_jacobi_var(void* arg) { - int i, j = 0; +static void bench_group_add_zinv_var(void* arg, int iters) { + int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 20000; i++) { - j += secp256k1_gej_has_quad_y_var(&data->gej_x); + for (i = 0; i < iters; i++) { + secp256k1_gej_add_zinv_var(&data->gej[0], &data->gej[0], &data->ge[1], &data->gej[0].y); } - CHECK(j == 20000); } -void bench_ecmult_wnaf(void* arg) { - int i, bits = 0, overflow = 0; +static void bench_group_to_affine_var(void* arg, int iters) { + int i; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 20000; i++) { - bits += secp256k1_ecmult_wnaf(data->wnaf, 256, &data->scalar_x, WINDOW_A); - overflow += secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; ++i) { + secp256k1_ge_set_gej_var(&data->ge[1], &data->gej[0]); + /* Use the output affine X/Y coordinates to vary the input X/Y/Z coordinates. + Note that the resulting coordinates will generally not correspond to a point + on the curve, but this is not a problem for the code being benchmarked here. + Adding and normalizing have less overhead than EC operations (which could + guarantee the point remains on the curve). */ + secp256k1_fe_add(&data->gej[0].x, &data->ge[1].y); + secp256k1_fe_add(&data->gej[0].y, &data->fe[2]); + secp256k1_fe_add(&data->gej[0].z, &data->ge[1].x); + secp256k1_fe_normalize_var(&data->gej[0].x); + secp256k1_fe_normalize_var(&data->gej[0].y); + secp256k1_fe_normalize_var(&data->gej[0].z); } - CHECK(overflow >= 0); - CHECK(bits <= 256*20000); } -void bench_wnaf_const(void* arg) { +static void bench_ecmult_wnaf(void* arg, int iters) { int i, bits = 0, overflow = 0; bench_inv *data = (bench_inv*)arg; - for (i = 0; i < 20000; i++) { - bits += secp256k1_wnaf_const(data->wnaf, &data->scalar_x, WINDOW_A, 256); - overflow += secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + for (i = 0; i < iters; i++) { + bits += secp256k1_ecmult_wnaf(data->wnaf, 256, &data->scalar[0], WINDOW_A); + overflow += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]); } CHECK(overflow >= 0); - CHECK(bits <= 256*20000); + CHECK(bits <= 256*iters); } - -void bench_sha256(void* arg) { +static void bench_sha256(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; secp256k1_sha256 sha; - for (i = 0; i < 20000; i++) { + for (i = 0; i < iters; i++) { secp256k1_sha256_initialize(&sha); secp256k1_sha256_write(&sha, data->data, 32); secp256k1_sha256_finalize(&sha, data->data); } } -void bench_hmac_sha256(void* arg) { +static void bench_hmac_sha256(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; secp256k1_hmac_sha256 hmac; - for (i = 0; i < 20000; i++) { + for (i = 0; i < iters; i++) { secp256k1_hmac_sha256_initialize(&hmac, data->data, 32); secp256k1_hmac_sha256_write(&hmac, data->data, 32); secp256k1_hmac_sha256_finalize(&hmac, data->data); } } -void bench_rfc6979_hmac_sha256(void* arg) { +static void bench_rfc6979_hmac_sha256(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; secp256k1_rfc6979_hmac_sha256 rng; - for (i = 0; i < 20000; i++) { + for (i = 0; i < iters; i++) { secp256k1_rfc6979_hmac_sha256_initialize(&rng, data->data, 64); secp256k1_rfc6979_hmac_sha256_generate(&rng, data->data, 32); } } -void bench_context_verify(void* arg) { +static void bench_context(void* arg, int iters) { int i; (void)arg; - for (i = 0; i < 20; i++) { - secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_VERIFY)); + for (i = 0; i < iters; i++) { + secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_NONE)); } } -void bench_context_sign(void* arg) { - int i; - (void)arg; - for (i = 0; i < 200; i++) { - secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_SIGN)); +int main(int argc, char **argv) { + bench_inv data; + int default_iters = 20000; + int iters = get_iters(default_iters); + int d = argc == 1; /* default */ + + if (argc > 1) { + if (have_flag(argc, argv, "-h") + || have_flag(argc, argv, "--help") + || have_flag(argc, argv, "help")) { + help(default_iters); + return 0; + } } -} -#ifndef USE_NUM_NONE -void bench_num_jacobi(void* arg) { - int i, j = 0; - bench_inv *data = (bench_inv*)arg; - secp256k1_num nx, norder; + print_output_table_header_row(); + + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "half")) run_benchmark("scalar_half", bench_scalar_half, bench_setup, NULL, &data, 10, iters*100); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, iters*100); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, iters*100); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "split")) run_benchmark("scalar_split", bench_scalar_split, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse", bench_scalar_inverse, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse_var", bench_scalar_inverse_var, bench_setup, NULL, &data, 10, iters); + + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "half")) run_benchmark("field_half", bench_field_half, bench_setup, NULL, &data, 10, iters*100); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize", bench_field_normalize, bench_setup, NULL, &data, 10, iters*100); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize_weak", bench_field_normalize_weak, bench_setup, NULL, &data, 10, iters*100); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqr")) run_benchmark("field_sqr", bench_field_sqr, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "issquare")) run_benchmark("field_is_square_var", bench_field_is_square_var, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, iters); + + if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_zinv_var", bench_group_add_zinv_var, bench_setup, NULL, &data, 10, iters*10); + if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "to_affine")) run_benchmark("group_to_affine_var", bench_group_to_affine_var, bench_setup, NULL, &data, 10, iters); + + if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, iters); + + if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, iters); + + if (d || have_flag(argc, argv, "context")) run_benchmark("context_create", bench_context, bench_setup, NULL, &data, 10, iters); - secp256k1_scalar_get_num(&nx, &data->scalar_x); - secp256k1_scalar_order_get_num(&norder); - secp256k1_scalar_get_num(&norder, &data->scalar_y); - - for (i = 0; i < 200000; i++) { - j += secp256k1_num_jacobi(&nx, &norder); - } - CHECK(j <= 200000); -} -#endif - -int main(int argc, char **argv) { - bench_inv data; - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, 2000000); - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, 2000000); - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "sqr")) run_benchmark("scalar_sqr", bench_scalar_sqr, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, 200000); -#ifdef USE_ENDOMORPHISM - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "split")) run_benchmark("scalar_split", bench_scalar_split, bench_setup, NULL, &data, 10, 20000); -#endif - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse", bench_scalar_inverse, bench_setup, NULL, &data, 10, 2000); - if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse_var", bench_scalar_inverse_var, bench_setup, NULL, &data, 10, 2000); - - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize", bench_field_normalize, bench_setup, NULL, &data, 10, 2000000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize_weak", bench_field_normalize_weak, bench_setup, NULL, &data, 10, 2000000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqr")) run_benchmark("field_sqr", bench_field_sqr, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, 20000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, 20000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, 20000); - - if (have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, 200000); - if (have_flag(argc, argv, "group") || have_flag(argc, argv, "jacobi")) run_benchmark("group_jacobi_var", bench_group_jacobi_var, bench_setup, NULL, &data, 10, 20000); - - if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, 20000); - if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, 20000); - - if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, 20000); - if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, 20000); - if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, 20000); - - if (have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 20); - if (have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 200); - -#ifndef USE_NUM_NONE - if (have_flag(argc, argv, "num") || have_flag(argc, argv, "jacobi")) run_benchmark("num_jacobi", bench_num_jacobi, bench_setup, NULL, &data, 10, 200000); -#endif return 0; } diff --git a/src/secp256k1/src/bench_multiset.c b/src/secp256k1/src/bench_multiset.c deleted file mode 100644 index 0fd0136d..00000000 --- a/src/secp256k1/src/bench_multiset.c +++ /dev/null @@ -1,53 +0,0 @@ -/********************************************************************** - * Copyright (c) 2017 Tomas van der Wansem * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#include "include/secp256k1.h" -#include "include/secp256k1_multiset.h" -#include "util.h" -#include "bench.h" - -secp256k1_context *ctx; - -#define UNUSED(x) (void)(x) - -void bench_multiset(void* arg) { - int it=0; - unsigned n,m; - unsigned char result[32]; - secp256k1_multiset multiset; - - UNUSED(arg); - secp256k1_multiset_init(ctx, &multiset); - - for (m=0; m < 300000; m++) - { - unsigned char buf[32*3]; - secp256k1_multiset x; - - for(n = 0; n < sizeof(buf); n++) - { - buf[n] = it++; - } - - secp256k1_multiset_add(ctx, &x, buf, sizeof(buf)); - } - - secp256k1_multiset_finalize(ctx, result, &multiset); -} - -void bench_multiset_setup(void* arg) { - UNUSED(arg); -} - -int main(void) { - - ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - - run_benchmark("multiset", bench_multiset, bench_multiset_setup, NULL, NULL, 5, 1); - - secp256k1_context_destroy(ctx); - return 0; -} diff --git a/src/secp256k1/src/bench_sign.c b/src/secp256k1/src/bench_sign.c deleted file mode 100644 index e69ec195..00000000 --- a/src/secp256k1/src/bench_sign.c +++ /dev/null @@ -1,80 +0,0 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#include "include/secp256k1.h" -#include "util.h" -#include "bench.h" - -#ifdef ENABLE_MODULE_SCHNORR -#include "include/secp256k1_schnorr.h" -#endif - - -typedef struct { - secp256k1_context* ctx; - unsigned char msg[32]; - unsigned char key[32]; -} bench_sign; - -static void bench_sign_setup(void* arg) { - int i; - bench_sign *data = (bench_sign*)arg; - - for (i = 0; i < 32; i++) { - data->msg[i] = i + 1; - } - for (i = 0; i < 32; i++) { - data->key[i] = i + 65; - } -} - -static void bench_sign_run(void* arg) { - int i; - bench_sign *data = (bench_sign*)arg; - - unsigned char sig[74]; - for (i = 0; i < 20000; i++) { - size_t siglen = 74; - int j; - secp256k1_ecdsa_signature signature; - CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL)); - CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature)); - for (j = 0; j < 32; j++) { - data->msg[j] = sig[j]; - data->key[j] = sig[j + 32]; - } - } -} - -#ifdef ENABLE_MODULE_SCHNORR -static void bench_schnorr_sign_run(void* arg) { - int i,j; - bench_sign *data = (bench_sign*)arg; - - unsigned char sig[64]; - for (i = 0; i < 20000; i++) { - CHECK(secp256k1_schnorr_sign(data->ctx, sig, data->msg, data->key, NULL, NULL)); - for (j = 0; j < 32; j++) { - data->msg[j] = sig[j]; - data->key[j] = sig[j + 32]; - } - } -} -#endif - -int main(void) { - bench_sign data; - - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - - run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, 20000); -#ifdef ENABLE_MODULE_SCHNORR - run_benchmark("schnorr_sign", bench_schnorr_sign_run, bench_sign_setup, NULL, &data, 10, 20000); -#endif - - secp256k1_context_destroy(data.ctx); - return 0; -} diff --git a/src/secp256k1/src/bench_verify.c b/src/secp256k1/src/bench_verify.c deleted file mode 100644 index 97306aa7..00000000 --- a/src/secp256k1/src/bench_verify.c +++ /dev/null @@ -1,96 +0,0 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#include -#include - -#include "include/secp256k1.h" -#include "util.h" -#include "bench.h" - -#ifdef ENABLE_MODULE_SCHNORR -#include "include/secp256k1_schnorr.h" -#endif - -typedef struct { - secp256k1_context *ctx; - unsigned char msg[32]; - unsigned char key[32]; - unsigned char sig[72]; - size_t siglen; - unsigned char pubkey[33]; - size_t pubkeylen; -} benchmark_verify_t; - -static void benchmark_verify(void* arg) { - int i; - benchmark_verify_t* data = (benchmark_verify_t*)arg; - - for (i = 0; i < 20000; i++) { - secp256k1_pubkey pubkey; - secp256k1_ecdsa_signature sig; - data->sig[data->siglen - 1] ^= (i & 0xFF); - data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); - data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); - CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1); - CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1); - CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0)); - data->sig[data->siglen - 1] ^= (i & 0xFF); - data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); - data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); - } -} - -#ifdef ENABLE_MODULE_SCHNORR -static void benchmark_schnorr_verify(void* arg) { - int i; - benchmark_verify_t* data = (benchmark_verify_t*)arg; - - for (i = 0; i < 20000; i++) { - secp256k1_pubkey pubkey; - data->sig[data->siglen - 1] ^= (i & 0xFF); - data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); - data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); - CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1); - CHECK(secp256k1_schnorr_verify(data->ctx, data->sig, data->msg, &pubkey) == (i == 0)); - data->sig[data->siglen - 1] ^= (i & 0xFF); - data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); - data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); - } -} -#endif - -int main(void) { - int i; - secp256k1_pubkey pubkey; - secp256k1_ecdsa_signature sig; - benchmark_verify_t data; - - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - - for (i = 0; i < 32; i++) { - data.msg[i] = 1 + i; - } - for (i = 0; i < 32; i++) { - data.key[i] = 33 + i; - } - data.siglen = 72; - CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL)); - CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig)); - CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key)); - data.pubkeylen = 33; - CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - - run_benchmark("ecdsa_verify", benchmark_verify, NULL, NULL, &data, 10, 20000); -#ifdef ENABLE_MODULE_SCHNORR - CHECK(secp256k1_schnorr_sign(data.ctx, data.sig, data.msg, data.key, NULL, NULL)); - data.siglen = 64; - run_benchmark("schnorr_verify", benchmark_schnorr_verify, NULL, NULL, &data, 10, 20000); -#endif - - secp256k1_context_destroy(data.ctx); - return 0; -} diff --git a/src/secp256k1/src/checkmem.h b/src/secp256k1/src/checkmem.h new file mode 100644 index 00000000..7e333ce5 --- /dev/null +++ b/src/secp256k1/src/checkmem.h @@ -0,0 +1,102 @@ +/*********************************************************************** + * Copyright (c) 2022 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +/* The code here is inspired by Kris Kwiatkowski's approach in + * https://github.com/kriskwiatkowski/pqc/blob/main/src/common/ct_check.h + * to provide a general interface for memory-checking mechanisms, primarily + * for constant-time checking. + */ + +/* These macros are defined by this header file: + * + * - SECP256K1_CHECKMEM_ENABLED: + * - 1 if memory-checking integration is available, 0 otherwise. + * This is just a compile-time macro. Use the next macro to check it is actually + * available at runtime. + * - SECP256K1_CHECKMEM_RUNNING(): + * - Acts like a function call, returning 1 if memory checking is available + * at runtime. + * - SECP256K1_CHECKMEM_CHECK(p, len): + * - Assert or otherwise fail in case the len-byte memory block pointed to by p is + * not considered entirely defined. + * - SECP256K1_CHECKMEM_CHECK_VERIFY(p, len): + * - Like SECP256K1_CHECKMEM_CHECK, but only works in VERIFY mode. + * - SECP256K1_CHECKMEM_UNDEFINE(p, len): + * - marks the len-byte memory block pointed to by p as undefined data (secret data, + * in the context of constant-time checking). + * - SECP256K1_CHECKMEM_DEFINE(p, len): + * - marks the len-byte memory pointed to by p as defined data (public data, in the + * context of constant-time checking). + * - SECP256K1_CHECKMEM_MSAN_DEFINE(p, len): + * - Like SECP256K1_CHECKMEM_DEFINE, but applies only to memory_sanitizer. + * + */ + +#ifndef SECP256K1_CHECKMEM_H +#define SECP256K1_CHECKMEM_H + +/* Define a statement-like macro that ignores the arguments. */ +#define SECP256K1_CHECKMEM_NOOP(p, len) do { (void)(p); (void)(len); } while(0) + +/* If compiling under msan, map the SECP256K1_CHECKMEM_* functionality to msan. + * Choose this preferentially, even when VALGRIND is defined, as msan-compiled + * binaries can't be run under valgrind anyway. */ +#if defined(__has_feature) +# if __has_feature(memory_sanitizer) +# include +# define SECP256K1_CHECKMEM_ENABLED 1 +# define SECP256K1_CHECKMEM_UNDEFINE(p, len) __msan_allocated_memory((p), (len)) +# define SECP256K1_CHECKMEM_DEFINE(p, len) __msan_unpoison((p), (len)) +# define SECP256K1_CHECKMEM_MSAN_DEFINE(p, len) __msan_unpoison((p), (len)) +# define SECP256K1_CHECKMEM_CHECK(p, len) __msan_check_mem_is_initialized((p), (len)) +# define SECP256K1_CHECKMEM_RUNNING() (1) +# endif +#endif + +#if !defined SECP256K1_CHECKMEM_MSAN_DEFINE +# define SECP256K1_CHECKMEM_MSAN_DEFINE(p, len) SECP256K1_CHECKMEM_NOOP((p), (len)) +#endif + +/* If valgrind integration is desired (through the VALGRIND define), implement the + * SECP256K1_CHECKMEM_* macros using valgrind. */ +#if !defined SECP256K1_CHECKMEM_ENABLED +# if defined VALGRIND +# include +# if defined(__clang__) && defined(__APPLE__) +# pragma clang diagnostic push +# pragma clang diagnostic ignored "-Wreserved-identifier" +# endif +# include +# if defined(__clang__) && defined(__APPLE__) +# pragma clang diagnostic pop +# endif +# define SECP256K1_CHECKMEM_ENABLED 1 +# define SECP256K1_CHECKMEM_UNDEFINE(p, len) VALGRIND_MAKE_MEM_UNDEFINED((p), (len)) +# define SECP256K1_CHECKMEM_DEFINE(p, len) VALGRIND_MAKE_MEM_DEFINED((p), (len)) +# define SECP256K1_CHECKMEM_CHECK(p, len) VALGRIND_CHECK_MEM_IS_DEFINED((p), (len)) + /* VALGRIND_MAKE_MEM_DEFINED returns 0 iff not running on memcheck. + * This is more precise than the RUNNING_ON_VALGRIND macro, which + * checks for valgrind in general instead of memcheck specifically. */ +# define SECP256K1_CHECKMEM_RUNNING() (VALGRIND_MAKE_MEM_DEFINED(NULL, 0) != 0) +# endif +#endif + +/* As a fall-back, map these macros to dummy statements. */ +#if !defined SECP256K1_CHECKMEM_ENABLED +# define SECP256K1_CHECKMEM_ENABLED 0 +# define SECP256K1_CHECKMEM_UNDEFINE(p, len) SECP256K1_CHECKMEM_NOOP((p), (len)) +# define SECP256K1_CHECKMEM_DEFINE(p, len) SECP256K1_CHECKMEM_NOOP((p), (len)) +# define SECP256K1_CHECKMEM_CHECK(p, len) SECP256K1_CHECKMEM_NOOP((p), (len)) +# define SECP256K1_CHECKMEM_RUNNING() (0) +#endif + +#if defined VERIFY +#define SECP256K1_CHECKMEM_CHECK_VERIFY(p, len) SECP256K1_CHECKMEM_CHECK((p), (len)) +#else +#define SECP256K1_CHECKMEM_CHECK_VERIFY(p, len) SECP256K1_CHECKMEM_NOOP((p), (len)) +#endif + +#endif /* SECP256K1_CHECKMEM_H */ diff --git a/src/secp256k1/src/ctime_tests.c b/src/secp256k1/src/ctime_tests.c new file mode 100644 index 00000000..bbde863d --- /dev/null +++ b/src/secp256k1/src/ctime_tests.c @@ -0,0 +1,266 @@ +/*********************************************************************** + * Copyright (c) 2020 Gregory Maxwell * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#include +#include + +#include "../include/secp256k1.h" +#include "assumptions.h" +#include "checkmem.h" + +#if !SECP256K1_CHECKMEM_ENABLED +# error "This tool cannot be compiled without memory-checking interface (valgrind or msan)" +#endif + +#ifdef ENABLE_MODULE_ECDH +# include "../include/secp256k1_ecdh.h" +#endif + +#ifdef ENABLE_MODULE_RECOVERY +# include "../include/secp256k1_recovery.h" +#endif + +#ifdef ENABLE_MODULE_EXTRAKEYS +# include "../include/secp256k1_extrakeys.h" +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG +#include "../include/secp256k1_schnorrsig.h" +#endif + +#ifdef ENABLE_MODULE_MUSIG +#include "../include/secp256k1_musig.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +#include "../include/secp256k1_ellswift.h" +#endif + +static void run_tests(secp256k1_context *ctx, unsigned char *key); + +int main(void) { + secp256k1_context* ctx; + unsigned char key[32]; + int ret, i; + + if (!SECP256K1_CHECKMEM_RUNNING()) { + fprintf(stderr, "This test can only usefully be run inside valgrind because it was not compiled under msan.\n"); + fprintf(stderr, "Usage: libtool --mode=execute valgrind ./ctime_tests\n"); + return 1; + } + ctx = secp256k1_context_create(SECP256K1_CONTEXT_DECLASSIFY); + /** In theory, testing with a single secret input should be sufficient: + * If control flow depended on secrets the tool would generate an error. + */ + for (i = 0; i < 32; i++) { + key[i] = i + 65; + } + + run_tests(ctx, key); + + /* Test context randomisation. Do this last because it leaves the context + * tainted. */ + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_context_randomize(ctx, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret); + + secp256k1_context_destroy(ctx); + return 0; +} + +static void run_tests(secp256k1_context *ctx, unsigned char *key) { + secp256k1_ecdsa_signature signature; + secp256k1_pubkey pubkey; + size_t siglen = 74; + size_t outputlen = 33; + int i; + int ret; + unsigned char msg[32]; + unsigned char sig[74]; + unsigned char spubkey[33]; +#ifdef ENABLE_MODULE_RECOVERY + secp256k1_ecdsa_recoverable_signature recoverable_signature; + int recid; +#endif +#ifdef ENABLE_MODULE_EXTRAKEYS + secp256k1_keypair keypair; +#endif +#ifdef ENABLE_MODULE_ELLSWIFT + unsigned char ellswift[64]; + static const unsigned char prefix[64] = {'t', 'e', 's', 't'}; +#endif + + for (i = 0; i < 32; i++) { + msg[i] = i + 1; + } + + /* Test keygen. */ + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ec_pubkey_create(ctx, &pubkey, key); + SECP256K1_CHECKMEM_DEFINE(&pubkey, sizeof(secp256k1_pubkey)); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret); + CHECK(secp256k1_ec_pubkey_serialize(ctx, spubkey, &outputlen, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + + /* Test signing. */ + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ecdsa_sign(ctx, &signature, msg, key, NULL, NULL); + SECP256K1_CHECKMEM_DEFINE(&signature, sizeof(secp256k1_ecdsa_signature)); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret); + CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature)); + +#ifdef ENABLE_MODULE_ECDH + /* Test ECDH. */ + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ecdh(ctx, msg, &pubkey, key, NULL, NULL); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); +#endif + +#ifdef ENABLE_MODULE_RECOVERY + /* Test signing a recoverable signature. */ + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ecdsa_sign_recoverable(ctx, &recoverable_signature, msg, key, NULL, NULL); + SECP256K1_CHECKMEM_DEFINE(&recoverable_signature, sizeof(recoverable_signature)); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &recoverable_signature)); + CHECK(recid >= 0 && recid <= 3); +#endif + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ec_seckey_verify(ctx, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ec_seckey_negate(ctx, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_UNDEFINE(msg, 32); + ret = secp256k1_ec_seckey_tweak_add(ctx, key, msg); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_UNDEFINE(msg, 32); + ret = secp256k1_ec_seckey_tweak_mul(ctx, key, msg); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + /* Test keypair_create and keypair_xonly_tweak_add. */ +#ifdef ENABLE_MODULE_EXTRAKEYS + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_keypair_create(ctx, &keypair, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + /* The tweak is not treated as a secret in keypair_tweak_add */ + SECP256K1_CHECKMEM_DEFINE(msg, 32); + ret = secp256k1_keypair_xonly_tweak_add(ctx, &keypair, msg); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_UNDEFINE(&keypair, sizeof(keypair)); + ret = secp256k1_keypair_sec(ctx, key, &keypair); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_keypair_create(ctx, &keypair, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + ret = secp256k1_schnorrsig_sign32(ctx, sig, msg, &keypair, NULL); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); +#endif + +#ifdef ENABLE_MODULE_MUSIG + { + secp256k1_pubkey pk; + const secp256k1_pubkey *pk_ptr[1]; + secp256k1_xonly_pubkey agg_pk; + unsigned char session_secrand[32]; + uint64_t nonrepeating_cnt = 0; + secp256k1_musig_secnonce secnonce; + secp256k1_musig_pubnonce pubnonce; + const secp256k1_musig_pubnonce *pubnonce_ptr[1]; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_keyagg_cache cache; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + unsigned char extra_input[32]; + + pk_ptr[0] = &pk; + pubnonce_ptr[0] = &pubnonce; + SECP256K1_CHECKMEM_DEFINE(key, 32); + memcpy(session_secrand, key, sizeof(session_secrand)); + session_secrand[0] = session_secrand[0] + 1; + memcpy(extra_input, key, sizeof(extra_input)); + extra_input[0] = extra_input[0] + 2; + + CHECK(secp256k1_keypair_create(ctx, &keypair, key)); + CHECK(secp256k1_keypair_pub(ctx, &pk, &keypair)); + CHECK(secp256k1_musig_pubkey_agg(ctx, &agg_pk, &cache, pk_ptr, 1)); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_UNDEFINE(session_secrand, sizeof(session_secrand)); + SECP256K1_CHECKMEM_UNDEFINE(extra_input, sizeof(extra_input)); + ret = secp256k1_musig_nonce_gen(ctx, &secnonce, &pubnonce, session_secrand, key, &pk, msg, &cache, extra_input); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + ret = secp256k1_musig_nonce_gen_counter(ctx, &secnonce, &pubnonce, nonrepeating_cnt, &keypair, msg, &cache, extra_input); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + CHECK(secp256k1_musig_nonce_agg(ctx, &aggnonce, pubnonce_ptr, 1)); + /* Make sure that previous tests don't undefine msg. It's not used as a secret here. */ + SECP256K1_CHECKMEM_DEFINE(msg, sizeof(msg)); + CHECK(secp256k1_musig_nonce_process(ctx, &session, &aggnonce, msg, &cache) == 1); + + ret = secp256k1_keypair_create(ctx, &keypair, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + ret = secp256k1_musig_partial_sign(ctx, &partial_sig, &secnonce, &keypair, &cache, &session); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + } +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ellswift_create(ctx, ellswift, key, NULL); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ellswift_create(ctx, ellswift, key, ellswift); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + for (i = 0; i < 2; i++) { + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_DEFINE(&ellswift, sizeof(ellswift)); + ret = secp256k1_ellswift_xdh(ctx, msg, ellswift, ellswift, key, i, secp256k1_ellswift_xdh_hash_function_bip324, NULL); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_DEFINE(&ellswift, sizeof(ellswift)); + ret = secp256k1_ellswift_xdh(ctx, msg, ellswift, ellswift, key, i, secp256k1_ellswift_xdh_hash_function_prefix, (void *)prefix); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + } + +#endif +} diff --git a/src/secp256k1/src/ecdsa.h b/src/secp256k1/src/ecdsa.h index 80590c7c..4441b083 100644 --- a/src/secp256k1/src/ecdsa.h +++ b/src/secp256k1/src/ecdsa.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECDSA_H #define SECP256K1_ECDSA_H @@ -15,7 +15,7 @@ static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *r, secp256k1_scalar *s, const unsigned char *sig, size_t size); static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar *r, const secp256k1_scalar *s); -static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message); +static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message); static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid); #endif /* SECP256K1_ECDSA_H */ diff --git a/src/secp256k1/src/ecdsa_impl.h b/src/secp256k1/src/ecdsa_impl.h index eb099c87..ce36e85e 100644 --- a/src/secp256k1/src/ecdsa_impl.h +++ b/src/secp256k1/src/ecdsa_impl.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECDSA_IMPL_H @@ -16,17 +16,8 @@ #include "ecdsa.h" /** Group order for secp256k1 defined as 'n' in "Standards for Efficient Cryptography" (SEC2) 2.7.1 - * sage: for t in xrange(1023, -1, -1): - * .. p = 2**256 - 2**32 - t - * .. if p.is_prime(): - * .. print '%x'%p - * .. break - * 'fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f' - * sage: a = 0 - * sage: b = 7 - * sage: F = FiniteField (p) - * sage: '%x' % (EllipticCurve ([F (a), F (b)]).order()) - * 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141' + * $ sage -c 'load("secp256k1_params.sage"); print(hex(N))' + * 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 */ static const secp256k1_fe secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CONST( 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, @@ -35,12 +26,8 @@ static const secp256k1_fe secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CONST /** Difference between field and order, values 'p' and 'n' values defined in * "Standards for Efficient Cryptography" (SEC2) 2.7.1. - * sage: p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F - * sage: a = 0 - * sage: b = 7 - * sage: F = FiniteField (p) - * sage: '%x' % (p - EllipticCurve ([F (a), F (b)]).order()) - * '14551231950b75fc4402da1722fc9baee' + * $ sage -c 'load("secp256k1_params.sage"); print(hex(P-N))' + * 0x14551231950b75fc4402da1722fc9baee */ static const secp256k1_fe secp256k1_ecdsa_const_p_minus_order = SECP256K1_FE_CONST( 0, 0, 0, 1, 0x45512319UL, 0x50B75FC4UL, 0x402DA172UL, 0x2FC9BAEEUL @@ -79,8 +66,7 @@ static int secp256k1_der_read_len(size_t *len, const unsigned char **sigp, const } if (lenleft > sizeof(size_t)) { /* The resulting length would exceed the range of a size_t, so - * certainly longer than the passed array size. - */ + * it is certainly longer than the passed array size. */ return 0; } while (lenleft > 0) { @@ -89,7 +75,9 @@ static int secp256k1_der_read_len(size_t *len, const unsigned char **sigp, const lenleft--; } if (*len > (size_t)(sigend - *sigp)) { - /* Result exceeds the length of the passed array. */ + /* Result exceeds the length of the passed array. + (Checking this is the responsibility of the caller but it + can't hurt do it here, too.) */ return 0; } if (*len < 128) { @@ -112,7 +100,7 @@ static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char if (secp256k1_der_read_len(&rlen, sig, sigend) == 0) { return 0; } - if (rlen == 0 || *sig + rlen > sigend) { + if (rlen == 0 || rlen > (size_t)(sigend - *sig)) { /* Exceeds bounds or not at least length 1 (X.690-0207 8.3.1). */ return 0; } @@ -140,7 +128,7 @@ static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char overflow = 1; } if (!overflow) { - memcpy(ra + 32 - rlen, *sig, rlen); + if (rlen) memcpy(ra + 32 - rlen, *sig, rlen); secp256k1_scalar_set_b32(r, ra, &overflow); } if (overflow) { @@ -204,7 +192,7 @@ static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const return 1; } -static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) { +static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) { unsigned char c[32]; secp256k1_scalar sn, u1, u2; #if !defined(EXHAUSTIVE_TEST_ORDER) @@ -221,7 +209,7 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar_mul(&u1, &sn, message); secp256k1_scalar_mul(&u2, &sn, sigr); secp256k1_gej_set_ge(&pubkeyj, pubkey); - secp256k1_ecmult(ctx, &pr, &pubkeyj, &u2, &u1); + secp256k1_ecmult(&pr, &pubkeyj, &u2, &u1); if (secp256k1_gej_is_infinity(&pr)) { return 0; } @@ -239,7 +227,8 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const } #else secp256k1_scalar_get_b32(c, sigr); - secp256k1_fe_set_b32(&xr, c); + /* we can ignore the fe_set_b32_limit return value, because we know the input is in range */ + (void)secp256k1_fe_set_b32_limit(&xr, c); /** We now have the recomputed R point in pr, and its claimed x coordinate (modulo n) * in xr. Naively, we would extract the x coordinate from pr (requiring a inversion modulo p), @@ -280,6 +269,7 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec secp256k1_ge r; secp256k1_scalar n; int overflow = 0; + int high; secp256k1_ecmult_gen(ctx, &rp, nonce); secp256k1_ge_set_gej(&r, &rp); @@ -287,15 +277,11 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec secp256k1_fe_normalize(&r.y); secp256k1_fe_get_b32(b, &r.x); secp256k1_scalar_set_b32(sigr, b, &overflow); - /* These two conditions should be checked before calling */ - VERIFY_CHECK(!secp256k1_scalar_is_zero(sigr)); - VERIFY_CHECK(overflow == 0); - if (recid) { /* The overflow condition is cryptographically unreachable as hitting it requires finding the discrete log * of some P where P.x >= order, and only 1 in about 2^127 points meet this criteria. */ - *recid = (overflow ? 2 : 0) | (secp256k1_fe_is_odd(&r.y) ? 1 : 0); + *recid = (overflow << 1) | secp256k1_fe_is_odd(&r.y); } secp256k1_scalar_mul(&n, sigr, seckey); secp256k1_scalar_add(&n, &n, message); @@ -304,16 +290,15 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec secp256k1_scalar_clear(&n); secp256k1_gej_clear(&rp); secp256k1_ge_clear(&r); - if (secp256k1_scalar_is_zero(sigs)) { - return 0; - } - if (secp256k1_scalar_is_high(sigs)) { - secp256k1_scalar_negate(sigs, sigs); - if (recid) { - *recid ^= 1; - } + high = secp256k1_scalar_is_high(sigs); + secp256k1_scalar_cond_negate(sigs, high); + if (recid) { + *recid ^= high; } - return 1; + /* P.x = order is on the curve, so technically sig->r could end up being zero, which would be an invalid signature. + * This is cryptographically unreachable as hitting it requires finding the discrete log of P.x = N. + */ + return (int)(!secp256k1_scalar_is_zero(sigr)) & (int)(!secp256k1_scalar_is_zero(sigs)); } #endif /* SECP256K1_ECDSA_IMPL_H */ diff --git a/src/secp256k1/src/eckey.h b/src/secp256k1/src/eckey.h index b621f1e6..d54d44c9 100644 --- a/src/secp256k1/src/eckey.h +++ b/src/secp256k1/src/eckey.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECKEY_H #define SECP256K1_ECKEY_H @@ -18,8 +18,8 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed); static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak); -static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak); static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak); -static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak); #endif /* SECP256K1_ECKEY_H */ diff --git a/src/secp256k1/src/eckey_impl.h b/src/secp256k1/src/eckey_impl.h index 7c5b7893..121966f8 100644 --- a/src/secp256k1/src/eckey_impl.h +++ b/src/secp256k1/src/eckey_impl.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECKEY_IMPL_H #define SECP256K1_ECKEY_IMPL_H @@ -17,10 +17,10 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char *pub, size_t size) { if (size == 33 && (pub[0] == SECP256K1_TAG_PUBKEY_EVEN || pub[0] == SECP256K1_TAG_PUBKEY_ODD)) { secp256k1_fe x; - return secp256k1_fe_set_b32(&x, pub+1) && secp256k1_ge_set_xo_var(elem, &x, pub[0] == SECP256K1_TAG_PUBKEY_ODD); + return secp256k1_fe_set_b32_limit(&x, pub+1) && secp256k1_ge_set_xo_var(elem, &x, pub[0] == SECP256K1_TAG_PUBKEY_ODD); } else if (size == 65 && (pub[0] == SECP256K1_TAG_PUBKEY_UNCOMPRESSED || pub[0] == SECP256K1_TAG_PUBKEY_HYBRID_EVEN || pub[0] == SECP256K1_TAG_PUBKEY_HYBRID_ODD)) { secp256k1_fe x, y; - if (!secp256k1_fe_set_b32(&x, pub+1) || !secp256k1_fe_set_b32(&y, pub+33)) { + if (!secp256k1_fe_set_b32_limit(&x, pub+1) || !secp256k1_fe_set_b32_limit(&y, pub+33)) { return 0; } secp256k1_ge_set_xy(elem, &x, &y); @@ -54,18 +54,13 @@ static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *p static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak) { secp256k1_scalar_add(key, key, tweak); - if (secp256k1_scalar_is_zero(key)) { - return 0; - } - return 1; + return !secp256k1_scalar_is_zero(key); } -static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) { +static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak) { secp256k1_gej pt; - secp256k1_scalar one; secp256k1_gej_set_ge(&pt, key); - secp256k1_scalar_set_int(&one, 1); - secp256k1_ecmult(ctx, &pt, &pt, &one, tweak); + secp256k1_ecmult(&pt, &pt, &secp256k1_scalar_one, tweak); if (secp256k1_gej_is_infinity(&pt)) { return 0; @@ -75,24 +70,21 @@ static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, } static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak) { - if (secp256k1_scalar_is_zero(tweak)) { - return 0; - } + int ret; + ret = !secp256k1_scalar_is_zero(tweak); secp256k1_scalar_mul(key, key, tweak); - return 1; + return ret; } -static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) { - secp256k1_scalar zero; +static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak) { secp256k1_gej pt; if (secp256k1_scalar_is_zero(tweak)) { return 0; } - secp256k1_scalar_set_int(&zero, 0); secp256k1_gej_set_ge(&pt, key); - secp256k1_ecmult(ctx, &pt, &pt, tweak, &zero); + secp256k1_ecmult(&pt, &pt, tweak, &secp256k1_scalar_zero); secp256k1_ge_set_gej(key, &pt); return 1; } diff --git a/src/secp256k1/src/ecmult.h b/src/secp256k1/src/ecmult.h index c9b19823..326a5eeb 100644 --- a/src/secp256k1/src/ecmult.h +++ b/src/secp256k1/src/ecmult.h @@ -1,34 +1,47 @@ -/********************************************************************** - * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECMULT_H #define SECP256K1_ECMULT_H -#include "num.h" #include "group.h" #include "scalar.h" #include "scratch.h" -typedef struct { - /* For accelerating the computation of a*P + b*G: */ - secp256k1_ge_storage (*pre_g)[]; /* odd multiples of the generator */ -#ifdef USE_ENDOMORPHISM - secp256k1_ge_storage (*pre_g_128)[]; /* odd multiples of 2^128*generator */ +#ifndef ECMULT_WINDOW_SIZE +# define ECMULT_WINDOW_SIZE 15 +# ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_MSG("ECMULT_WINDOW_SIZE undefined, assuming default value") +# endif #endif -} secp256k1_ecmult_context; -static const size_t SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; -static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx); -static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc); -static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src); -static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx); -static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx); +#ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_DEF(ECMULT_WINDOW_SIZE) +#endif + +/* No one will ever need more than a window size of 24. The code might + * be correct for larger values of ECMULT_WINDOW_SIZE but this is not + * tested. + * + * The following limitations are known, and there are probably more: + * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect + * because the size of the memory object that we allocate (in bytes) + * will not fit in a size_t. + * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect + * because certain expressions will overflow. + */ +#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24 +# error Set ECMULT_WINDOW_SIZE to an integer in range [2..24]. +#endif + +/** The number of entries a table with precomputed multiples needs to have. */ +#define ECMULT_TABLE_SIZE(w) (1L << ((w)-2)) /** Double multiply: R = na*A + ng*G */ -static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng); +static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng); typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data); @@ -43,6 +56,6 @@ typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge * 0 if there is not enough scratch space for a single point or * callback returns 0 */ -static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n); +static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n); #endif /* SECP256K1_ECMULT_H */ diff --git a/src/secp256k1/src/ecmult_compute_table.h b/src/secp256k1/src/ecmult_compute_table.h new file mode 100644 index 00000000..665f87ff --- /dev/null +++ b/src/secp256k1/src/ecmult_compute_table.h @@ -0,0 +1,16 @@ +/***************************************************************************************************** + * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *****************************************************************************************************/ + +#ifndef SECP256K1_ECMULT_COMPUTE_TABLE_H +#define SECP256K1_ECMULT_COMPUTE_TABLE_H + +/* Construct table of all odd multiples of gen in range 1..(2**(window_g-1)-1). */ +static void secp256k1_ecmult_compute_table(secp256k1_ge_storage* table, int window_g, const secp256k1_gej* gen); + +/* Like secp256k1_ecmult_compute_table, but one for both gen and gen*2^128. */ +static void secp256k1_ecmult_compute_two_tables(secp256k1_ge_storage* table, secp256k1_ge_storage* table_128, int window_g, const secp256k1_ge* gen); + +#endif /* SECP256K1_ECMULT_COMPUTE_TABLE_H */ diff --git a/src/secp256k1/src/ecmult_compute_table_impl.h b/src/secp256k1/src/ecmult_compute_table_impl.h new file mode 100644 index 00000000..69d59ce5 --- /dev/null +++ b/src/secp256k1/src/ecmult_compute_table_impl.h @@ -0,0 +1,49 @@ +/***************************************************************************************************** + * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *****************************************************************************************************/ + +#ifndef SECP256K1_ECMULT_COMPUTE_TABLE_IMPL_H +#define SECP256K1_ECMULT_COMPUTE_TABLE_IMPL_H + +#include "ecmult_compute_table.h" +#include "group_impl.h" +#include "field_impl.h" +#include "ecmult.h" +#include "util.h" + +static void secp256k1_ecmult_compute_table(secp256k1_ge_storage* table, int window_g, const secp256k1_gej* gen) { + secp256k1_gej gj; + secp256k1_ge ge, dgen; + int j; + + gj = *gen; + secp256k1_ge_set_gej_var(&ge, &gj); + secp256k1_ge_to_storage(&table[0], &ge); + + secp256k1_gej_double_var(&gj, gen, NULL); + secp256k1_ge_set_gej_var(&dgen, &gj); + + for (j = 1; j < ECMULT_TABLE_SIZE(window_g); ++j) { + secp256k1_gej_set_ge(&gj, &ge); + secp256k1_gej_add_ge_var(&gj, &gj, &dgen, NULL); + secp256k1_ge_set_gej_var(&ge, &gj); + secp256k1_ge_to_storage(&table[j], &ge); + } +} + +/* Like secp256k1_ecmult_compute_table, but one for both gen and gen*2^128. */ +static void secp256k1_ecmult_compute_two_tables(secp256k1_ge_storage* table, secp256k1_ge_storage* table_128, int window_g, const secp256k1_ge* gen) { + secp256k1_gej gj; + int i; + + secp256k1_gej_set_ge(&gj, gen); + secp256k1_ecmult_compute_table(table, window_g, &gj); + for (i = 0; i < 128; ++i) { + secp256k1_gej_double_var(&gj, &gj, NULL); + } + secp256k1_ecmult_compute_table(table_128, window_g, &gj); +} + +#endif /* SECP256K1_ECMULT_COMPUTE_TABLE_IMPL_H */ diff --git a/src/secp256k1/src/ecmult_const.h b/src/secp256k1/src/ecmult_const.h index 03bb3325..080e04bc 100644 --- a/src/secp256k1/src/ecmult_const.h +++ b/src/secp256k1/src/ecmult_const.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2015 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECMULT_CONST_H #define SECP256K1_ECMULT_CONST_H @@ -11,10 +11,28 @@ #include "group.h" /** - * Multiply: R = q*A (in constant-time) - * Here `bits` should be set to the maximum bitlength of the _absolute value_ of `q`, plus - * one because we internally sometimes add 2 to the number during the WNAF conversion. + * Multiply: R = q*A (in constant-time for q) */ -static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits); +static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q); + +/** + * Same as secp256k1_ecmult_const, but takes in an x coordinate of the base point + * only, specified as fraction n/d (numerator/denominator). Only the x coordinate of the result is + * returned. + * + * If known_on_curve is 0, a verification is performed that n/d is a valid X + * coordinate, and 0 is returned if not. Otherwise, 1 is returned. + * + * d being NULL is interpreted as d=1. If non-NULL, d must not be zero. q must not be zero. + * + * Constant time in the value of q, but not any other inputs. + */ +static int secp256k1_ecmult_const_xonly( + secp256k1_fe *r, + const secp256k1_fe *n, + const secp256k1_fe *d, + const secp256k1_scalar *q, + int known_on_curve +); #endif /* SECP256K1_ECMULT_CONST_H */ diff --git a/src/secp256k1/src/ecmult_const_impl.h b/src/secp256k1/src/ecmult_const_impl.h index d0d96318..0d78f7c3 100644 --- a/src/secp256k1/src/ecmult_const_impl.h +++ b/src/secp256k1/src/ecmult_const_impl.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015, 2022 Pieter Wuille, Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECMULT_CONST_IMPL_H #define SECP256K1_ECMULT_CONST_IMPL_H @@ -12,253 +12,388 @@ #include "ecmult_const.h" #include "ecmult_impl.h" -/* This is like `ECMULT_TABLE_GET_GE` but is constant time */ -#define ECMULT_CONST_TABLE_GET_GE(r,pre,n,w) do { \ - int m; \ - /* Extract the sign-bit for a constant time absolute-value. */ \ - int mask = (n) >> (sizeof(n) * CHAR_BIT - 1); \ - int abs_n = ((n) + mask) ^ mask; \ - int idx_n = abs_n >> 1; \ - secp256k1_fe neg_y; \ - VERIFY_CHECK(((n) & 1) == 1); \ - VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ - VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ - VERIFY_SETUP(secp256k1_fe_clear(&(r)->x)); \ - VERIFY_SETUP(secp256k1_fe_clear(&(r)->y)); \ - for (m = 0; m < ECMULT_TABLE_SIZE(w); m++) { \ - /* This loop is used to avoid secret data in array indices. See - * the comment in ecmult_gen_impl.h for rationale. */ \ - secp256k1_fe_cmov(&(r)->x, &(pre)[m].x, m == idx_n); \ - secp256k1_fe_cmov(&(r)->y, &(pre)[m].y, m == idx_n); \ - } \ - (r)->infinity = 0; \ - secp256k1_fe_negate(&neg_y, &(r)->y, 1); \ - secp256k1_fe_cmov(&(r)->y, &neg_y, (n) != abs_n); \ -} while(0) +#if defined(EXHAUSTIVE_TEST_ORDER) +/* We need 2^ECMULT_CONST_GROUP_SIZE - 1 to be less than EXHAUSTIVE_TEST_ORDER, because + * the tables cannot have infinities in them (this breaks the effective-affine technique's + * z-ratio tracking) */ +# if EXHAUSTIVE_TEST_ORDER == 199 +# define ECMULT_CONST_GROUP_SIZE 4 +# elif EXHAUSTIVE_TEST_ORDER == 13 +# define ECMULT_CONST_GROUP_SIZE 3 +# elif EXHAUSTIVE_TEST_ORDER == 7 +# define ECMULT_CONST_GROUP_SIZE 2 +# else +# error "Unknown EXHAUSTIVE_TEST_ORDER" +# endif +#else +/* Group size 4 or 5 appears optimal. */ +# define ECMULT_CONST_GROUP_SIZE 5 +#endif +#define ECMULT_CONST_TABLE_SIZE (1L << (ECMULT_CONST_GROUP_SIZE - 1)) +#define ECMULT_CONST_GROUPS ((129 + ECMULT_CONST_GROUP_SIZE - 1) / ECMULT_CONST_GROUP_SIZE) +#define ECMULT_CONST_BITS (ECMULT_CONST_GROUPS * ECMULT_CONST_GROUP_SIZE) -/** Convert a number to WNAF notation. - * The number becomes represented by sum(2^{wi} * wnaf[i], i=0..WNAF_SIZE(w)+1) - return_val. - * It has the following guarantees: - * - each wnaf[i] an odd integer between -(1 << w) and (1 << w) - * - each wnaf[i] is nonzero - * - the number of words set is always WNAF_SIZE(w) + 1 +/** Fill a table 'pre' with precomputed odd multiples of a. * - * Adapted from `The Width-w NAF Method Provides Small Memory and Fast Elliptic Scalar - * Multiplications Secure against Side Channel Attacks`, Okeya and Tagaki. M. Joye (Ed.) - * CT-RSA 2003, LNCS 2612, pp. 328-443, 2003. Springer-Verlagy Berlin Heidelberg 2003 + * The resulting point set is brought to a single constant Z denominator, stores the X and Y + * coordinates as ge points in pre, and stores the global Z in globalz. * - * Numbers reference steps of `Algorithm SPA-resistant Width-w NAF with Odd Scalar` on pp. 335 + * 'pre' must be an array of size ECMULT_CONST_TABLE_SIZE. */ -static int secp256k1_wnaf_const(int *wnaf, const secp256k1_scalar *scalar, int w, int size) { - int global_sign; - int skew = 0; - int word = 0; - - /* 1 2 3 */ - int u_last; - int u; +static void secp256k1_ecmult_const_odd_multiples_table_globalz(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) { + secp256k1_fe zr[ECMULT_CONST_TABLE_SIZE]; - int flip; - int bit; - secp256k1_scalar s; - int not_neg_one; - - VERIFY_CHECK(w > 0); - VERIFY_CHECK(size > 0); + secp256k1_ecmult_odd_multiples_table(ECMULT_CONST_TABLE_SIZE, pre, zr, globalz, a); + secp256k1_ge_table_set_globalz(ECMULT_CONST_TABLE_SIZE, pre, zr); +} - /* Note that we cannot handle even numbers by negating them to be odd, as is - * done in other implementations, since if our scalars were specified to have - * width < 256 for performance reasons, their negations would have width 256 - * and we'd lose any performance benefit. Instead, we use a technique from - * Section 4.2 of the Okeya/Tagaki paper, which is to add either 1 (for even) - * or 2 (for odd) to the number we are encoding, returning a skew value indicating - * this, and having the caller compensate after doing the multiplication. +/* Given a table 'pre' with odd multiples of a point, put in r the signed-bit multiplication of n with that point. + * + * For example, if ECMULT_CONST_GROUP_SIZE is 4, then pre is expected to contain 8 entries: + * [1*P, 3*P, 5*P, 7*P, 9*P, 11*P, 13*P, 15*P]. n is then expected to be a 4-bit integer (range 0-15), and its + * bits are interpreted as signs of powers of two to look up. + * + * For example, if n=4, which is 0100 in binary, which is interpreted as [- + - -], so the looked up value is + * [ -(2^3) + (2^2) - (2^1) - (2^0) ]*P = -7*P. Every valid n translates to an odd number in range [-15,15], + * which means we just need to look up one of the precomputed values, and optionally negate it. + */ +#define ECMULT_CONST_TABLE_GET_GE(r,pre,n) do { \ + unsigned int m = 0; \ + /* If the top bit of n is 0, we want the negation. */ \ + volatile unsigned int negative = ((n) >> (ECMULT_CONST_GROUP_SIZE - 1)) ^ 1; \ + /* Let n[i] be the i-th bit of n, then the index is + * sum(cnot(n[i]) * 2^i, i=0..l-2) + * where cnot(b) = b if n[l-1] = 1 and 1 - b otherwise. + * For example, if n = 4, in binary 0100, the index is 3, in binary 011. * - * In fact, we _do_ want to negate numbers to minimize their bit-lengths (and in - * particular, to ensure that the outputs from the endomorphism-split fit into - * 128 bits). If we negate, the parity of our number flips, inverting which of - * {1, 2} we want to add to the scalar when ensuring that it's odd. Further - * complicating things, -1 interacts badly with `secp256k1_scalar_cadd_bit` and - * we need to special-case it in this logic. */ - flip = secp256k1_scalar_is_high(scalar); - /* We add 1 to even numbers, 2 to odd ones, noting that negation flips parity */ - bit = flip ^ !secp256k1_scalar_is_even(scalar); - /* We check for negative one, since adding 2 to it will cause an overflow */ - secp256k1_scalar_negate(&s, scalar); - not_neg_one = !secp256k1_scalar_is_one(&s); - s = *scalar; - secp256k1_scalar_cadd_bit(&s, bit, not_neg_one); - /* If we had negative one, flip == 1, s.d[0] == 0, bit == 1, so caller expects - * that we added two to it and flipped it. In fact for -1 these operations are - * identical. We only flipped, but since skewing is required (in the sense that - * the skew must be 1 or 2, never zero) and flipping is not, we need to change - * our flags to claim that we only skewed. */ - global_sign = secp256k1_scalar_cond_negate(&s, flip); - global_sign *= not_neg_one * 2 - 1; - skew = 1 << bit; - - /* 4 */ - u_last = secp256k1_scalar_shr_int(&s, w); - do { - int sign; - int even; - - /* 4.1 4.4 */ - u = secp256k1_scalar_shr_int(&s, w); - /* 4.2 */ - even = ((u & 1) == 0); - sign = 2 * (u_last > 0) - 1; - u += sign * even; - u_last -= sign * even * (1 << w); - - /* 4.3, adapted for global sign change */ - wnaf[word++] = u_last * global_sign; + * Proof: + * Let + * x = sum((2*n[i] - 1)*2^i, i=0..l-1) + * = 2*sum(n[i] * 2^i, i=0..l-1) - 2^l + 1 + * be the value represented by n. + * The index is (x - 1)/2 if x > 0 and -(x + 1)/2 otherwise. + * Case x > 0: + * n[l-1] = 1 + * index = sum(n[i] * 2^i, i=0..l-1) - 2^(l-1) + * = sum(n[i] * 2^i, i=0..l-2) + * Case x <= 0: + * n[l-1] = 0 + * index = -(2*sum(n[i] * 2^i, i=0..l-1) - 2^l + 2)/2 + * = 2^(l-1) - 1 - sum(n[i] * 2^i, i=0..l-1) + * = sum((1 - n[i]) * 2^i, i=0..l-2) + */ \ + unsigned int index = ((unsigned int)(-negative) ^ n) & ((1U << (ECMULT_CONST_GROUP_SIZE - 1)) - 1U); \ + secp256k1_fe neg_y; \ + VERIFY_CHECK((n) < (1U << ECMULT_CONST_GROUP_SIZE)); \ + VERIFY_CHECK(index < (1U << (ECMULT_CONST_GROUP_SIZE - 1))); \ + /* Unconditionally set r->x = (pre)[m].x. r->y = (pre)[m].y. because it's either the correct one + * or will get replaced in the later iterations, this is needed to make sure `r` is initialized. */ \ + (r)->x = (pre)[m].x; \ + (r)->y = (pre)[m].y; \ + for (m = 1; m < ECMULT_CONST_TABLE_SIZE; m++) { \ + /* This loop is used to avoid secret data in array indices. See + * the comment in ecmult_gen_impl.h for rationale. */ \ + secp256k1_fe_cmov(&(r)->x, &(pre)[m].x, m == index); \ + secp256k1_fe_cmov(&(r)->y, &(pre)[m].y, m == index); \ + } \ + (r)->infinity = 0; \ + secp256k1_fe_negate(&neg_y, &(r)->y, 1); \ + secp256k1_fe_cmov(&(r)->y, &neg_y, negative); \ +} while(0) - u_last = u; - } while (word * w < size); - wnaf[word] = u * global_sign; +/* For K as defined in the comment of secp256k1_ecmult_const, we have several precomputed + * formulas/constants. + * - in exhaustive test mode, we give an explicit expression to compute it at compile time: */ +#ifdef EXHAUSTIVE_TEST_ORDER +static const secp256k1_scalar secp256k1_ecmult_const_K = ((SECP256K1_SCALAR_CONST(0, 0, 0, (1U << (ECMULT_CONST_BITS - 128)) - 2U, 0, 0, 0, 0) + EXHAUSTIVE_TEST_ORDER - 1U) * (1U + EXHAUSTIVE_TEST_LAMBDA)) % EXHAUSTIVE_TEST_ORDER; +/* - for the real secp256k1 group we have constants for various ECMULT_CONST_BITS values. */ +#elif ECMULT_CONST_BITS == 129 +/* For GROUP_SIZE = 1,3. */ +static const secp256k1_scalar secp256k1_ecmult_const_K = SECP256K1_SCALAR_CONST(0xac9c52b3ul, 0x3fa3cf1ful, 0x5ad9e3fdul, 0x77ed9ba4ul, 0xa880b9fcul, 0x8ec739c2ul, 0xe0cfc810ul, 0xb51283ceul); +#elif ECMULT_CONST_BITS == 130 +/* For GROUP_SIZE = 2,5. */ +static const secp256k1_scalar secp256k1_ecmult_const_K = SECP256K1_SCALAR_CONST(0xa4e88a7dul, 0xcb13034eul, 0xc2bdd6bful, 0x7c118d6bul, 0x589ae848ul, 0x26ba29e4ul, 0xb5c2c1dcul, 0xde9798d9ul); +#elif ECMULT_CONST_BITS == 132 +/* For GROUP_SIZE = 4,6 */ +static const secp256k1_scalar secp256k1_ecmult_const_K = SECP256K1_SCALAR_CONST(0x76b1d93dul, 0x0fae3c6bul, 0x3215874bul, 0x94e93813ul, 0x7937fe0dul, 0xb66bcaaful, 0xb3749ca5ul, 0xd7b6171bul); +#else +# error "Unknown ECMULT_CONST_BITS" +#endif - VERIFY_CHECK(secp256k1_scalar_is_zero(&s)); - VERIFY_CHECK(word == WNAF_SIZE_BITS(size, w)); - return skew; -} +static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q) { + /* The approach below combines the signed-digit logic from Mike Hamburg's + * "Fast and compact elliptic-curve cryptography" (https://eprint.iacr.org/2012/309) + * Section 3.3, with the GLV endomorphism. + * + * The idea there is to interpret the bits of a scalar as signs (1 = +, 0 = -), and compute a + * point multiplication in that fashion. Let v be an n-bit non-negative integer (0 <= v < 2^n), + * and v[i] its i'th bit (so v = sum(v[i] * 2^i, i=0..n-1)). Then define: + * + * C_l(v, A) = sum((2*v[i] - 1) * 2^i*A, i=0..l-1) + * + * Then it holds that C_l(v, A) = sum((2*v[i] - 1) * 2^i*A, i=0..l-1) + * = (2*sum(v[i] * 2^i, i=0..l-1) + 1 - 2^l) * A + * = (2*v + 1 - 2^l) * A + * + * Thus, one can compute q*A as C_256((q + 2^256 - 1) / 2, A). This is the basis for the + * paper's signed-digit multi-comb algorithm for multiplication using a precomputed table. + * + * It is appealing to try to combine this with the GLV optimization: the idea that a scalar + * s can be written as s1 + lambda*s2, where lambda is a curve-specific constant such that + * lambda*A is easy to compute, and where s1 and s2 are small. In particular we have the + * secp256k1_scalar_split_lambda function which performs such a split with the resulting s1 + * and s2 in range (-2^128, 2^128) mod n. This does work, but is uninteresting: + * + * To compute q*A: + * - Let s1, s2 = split_lambda(q) + * - Let R1 = C_256((s1 + 2^256 - 1) / 2, A) + * - Let R2 = C_256((s2 + 2^256 - 1) / 2, lambda*A) + * - Return R1 + R2 + * + * The issue is that while s1 and s2 are small-range numbers, (s1 + 2^256 - 1) / 2 (mod n) + * and (s2 + 2^256 - 1) / 2 (mod n) are not, undoing the benefit of the splitting. + * + * To make it work, we want to modify the input scalar q first, before splitting, and then only + * add a 2^128 offset of the split results (so that they end up in the single 129-bit range + * [0,2^129]). A slightly smaller offset would work due to the bounds on the split, but we pick + * 2^128 for simplicity. Let s be the scalar fed to split_lambda, and f(q) the function to + * compute it from q: + * + * To compute q*A: + * - Compute s = f(q) + * - Let s1, s2 = split_lambda(s) + * - Let v1 = s1 + 2^128 (mod n) + * - Let v2 = s2 + 2^128 (mod n) + * - Let R1 = C_l(v1, A) + * - Let R2 = C_l(v2, lambda*A) + * - Return R1 + R2 + * + * l will thus need to be at least 129, but we may overshoot by a few bits (see + * further), so keep it as a variable. + * + * To solve for s, we reason: + * q*A = R1 + R2 + * <=> q*A = C_l(s1 + 2^128, A) + C_l(s2 + 2^128, lambda*A) + * <=> q*A = (2*(s1 + 2^128) + 1 - 2^l) * A + (2*(s2 + 2^128) + 1 - 2^l) * lambda*A + * <=> q*A = (2*(s1 + s2*lambda) + (2^129 + 1 - 2^l) * (1 + lambda)) * A + * <=> q = 2*(s1 + s2*lambda) + (2^129 + 1 - 2^l) * (1 + lambda) (mod n) + * <=> q = 2*s + (2^129 + 1 - 2^l) * (1 + lambda) (mod n) + * <=> s = (q + (2^l - 2^129 - 1) * (1 + lambda)) / 2 (mod n) + * <=> f(q) = (q + K) / 2 (mod n) + * where K = (2^l - 2^129 - 1)*(1 + lambda) (mod n) + * + * We will process the computation of C_l(v1, A) and C_l(v2, lambda*A) in groups of + * ECMULT_CONST_GROUP_SIZE, so we set l to the smallest multiple of ECMULT_CONST_GROUP_SIZE + * that is not less than 129; this equals ECMULT_CONST_BITS. + */ -static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *scalar, int size) { - secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; - secp256k1_ge tmpa; - secp256k1_fe Z; + /* The offset to add to s1 and s2 to make them non-negative. Equal to 2^128. */ + static const secp256k1_scalar S_OFFSET = SECP256K1_SCALAR_CONST(0, 0, 0, 1, 0, 0, 0, 0); + secp256k1_scalar s, v1, v2; + secp256k1_ge pre_a[ECMULT_CONST_TABLE_SIZE]; + secp256k1_ge pre_a_lam[ECMULT_CONST_TABLE_SIZE]; + secp256k1_fe global_z; + int group, i; - int skew_1; -#ifdef USE_ENDOMORPHISM - secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; - int wnaf_lam[1 + WNAF_SIZE(WINDOW_A - 1)]; - int skew_lam; - secp256k1_scalar q_1, q_lam; -#endif - int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)]; + /* We're allowed to be non-constant time in the point, and the code below (in particular, + * secp256k1_ecmult_const_odd_multiples_table_globalz) cannot deal with infinity in a + * constant-time manner anyway. */ + if (secp256k1_ge_is_infinity(a)) { + secp256k1_gej_set_infinity(r); + return; + } - int i; + /* Compute v1 and v2. */ + secp256k1_scalar_add(&s, q, &secp256k1_ecmult_const_K); + secp256k1_scalar_half(&s, &s); + secp256k1_scalar_split_lambda(&v1, &v2, &s); + secp256k1_scalar_add(&v1, &v1, &S_OFFSET); + secp256k1_scalar_add(&v2, &v2, &S_OFFSET); - /* build wnaf representation for q. */ - int rsize = size; -#ifdef USE_ENDOMORPHISM - if (size > 128) { - rsize = 128; - /* split q into q_1 and q_lam (where q = q_1 + q_lam*lambda, and q_1 and q_lam are ~128 bit) */ - secp256k1_scalar_split_lambda(&q_1, &q_lam, scalar); - skew_1 = secp256k1_wnaf_const(wnaf_1, &q_1, WINDOW_A - 1, 128); - skew_lam = secp256k1_wnaf_const(wnaf_lam, &q_lam, WINDOW_A - 1, 128); - } else -#endif - { - skew_1 = secp256k1_wnaf_const(wnaf_1, scalar, WINDOW_A - 1, size); -#ifdef USE_ENDOMORPHISM - skew_lam = 0; -#endif +#ifdef VERIFY + /* Verify that v1 and v2 are in range [0, 2^129-1]. */ + for (i = 129; i < 256; ++i) { + VERIFY_CHECK(secp256k1_scalar_get_bits_limb32(&v1, i, 1) == 0); + VERIFY_CHECK(secp256k1_scalar_get_bits_limb32(&v2, i, 1) == 0); } +#endif - /* Calculate odd multiples of a. + /* Calculate odd multiples of A and A*lambda. * All multiples are brought to the same Z 'denominator', which is stored - * in Z. Due to secp256k1' isomorphism we can do all operations pretending + * in global_z. Due to secp256k1' isomorphism we can do all operations pretending * that the Z coordinate was 1, use affine addition formulae, and correct * the Z coordinate of the result once at the end. */ secp256k1_gej_set_ge(r, a); - secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, r); - for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { - secp256k1_fe_normalize_weak(&pre_a[i].y); - } -#ifdef USE_ENDOMORPHISM - if (size > 128) { - for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { - secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]); - } - + secp256k1_ecmult_const_odd_multiples_table_globalz(pre_a, &global_z, r); + for (i = 0; i < ECMULT_CONST_TABLE_SIZE; i++) { + secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]); } -#endif - /* first loop iteration (separated out so we can directly set r, rather - * than having it start at infinity, get doubled several times, then have - * its new value added to it) */ - i = wnaf_1[WNAF_SIZE_BITS(rsize, WINDOW_A - 1)]; - VERIFY_CHECK(i != 0); - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A); - secp256k1_gej_set_ge(r, &tmpa); -#ifdef USE_ENDOMORPHISM - if (size > 128) { - i = wnaf_lam[WNAF_SIZE_BITS(rsize, WINDOW_A - 1)]; - VERIFY_CHECK(i != 0); - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, i, WINDOW_A); - secp256k1_gej_add_ge(r, r, &tmpa); - } -#endif - /* remaining loop iterations */ - for (i = WNAF_SIZE_BITS(rsize, WINDOW_A - 1) - 1; i >= 0; i--) { - int n; + /* Next, we compute r = C_l(v1, A) + C_l(v2, lambda*A). + * + * We proceed in groups of ECMULT_CONST_GROUP_SIZE bits, operating on that many bits + * at a time, from high in v1, v2 to low. Call these bits1 (from v1) and bits2 (from v2). + * + * Now note that ECMULT_CONST_TABLE_GET_GE(&t, pre_a, bits1) loads into t a point equal + * to C_{ECMULT_CONST_GROUP_SIZE}(bits1, A), and analogously for pre_lam_a / bits2. + * This means that all we need to do is add these looked up values together, multiplied + * by 2^(ECMULT_GROUP_SIZE * group). + */ + for (group = ECMULT_CONST_GROUPS - 1; group >= 0; --group) { + /* Using the _var get_bits function is ok here, since it's only variable in offset and count, not in the scalar. */ + unsigned int bits1 = secp256k1_scalar_get_bits_var(&v1, group * ECMULT_CONST_GROUP_SIZE, ECMULT_CONST_GROUP_SIZE); + unsigned int bits2 = secp256k1_scalar_get_bits_var(&v2, group * ECMULT_CONST_GROUP_SIZE, ECMULT_CONST_GROUP_SIZE); + secp256k1_ge t; int j; - for (j = 0; j < WINDOW_A - 1; ++j) { - secp256k1_gej_double_nonzero(r, r); - } - n = wnaf_1[i]; - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); - VERIFY_CHECK(n != 0); - secp256k1_gej_add_ge(r, r, &tmpa); -#ifdef USE_ENDOMORPHISM - if (size > 128) { - n = wnaf_lam[i]; - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A); - VERIFY_CHECK(n != 0); - secp256k1_gej_add_ge(r, r, &tmpa); + ECMULT_CONST_TABLE_GET_GE(&t, pre_a, bits1); + if (group == ECMULT_CONST_GROUPS - 1) { + /* Directly set r in the first iteration. */ + secp256k1_gej_set_ge(r, &t); + } else { + /* Shift the result so far up. */ + for (j = 0; j < ECMULT_CONST_GROUP_SIZE; ++j) { + secp256k1_gej_double(r, r); + } + secp256k1_gej_add_ge(r, r, &t); } -#endif + ECMULT_CONST_TABLE_GET_GE(&t, pre_a_lam, bits2); + secp256k1_gej_add_ge(r, r, &t); } - secp256k1_fe_mul(&r->z, &r->z, &Z); + /* Map the result back to the secp256k1 curve from the isomorphic curve. */ + secp256k1_fe_mul(&r->z, &r->z, &global_z); +} - { - /* Correct for wNAF skew */ - secp256k1_ge correction = *a; - secp256k1_ge_storage correction_1_stor; -#ifdef USE_ENDOMORPHISM - secp256k1_ge_storage correction_lam_stor; -#endif - secp256k1_ge_storage a2_stor; - secp256k1_gej tmpj; - secp256k1_gej_set_ge(&tmpj, &correction); - secp256k1_gej_double_var(&tmpj, &tmpj, NULL); - secp256k1_ge_set_gej(&correction, &tmpj); - secp256k1_ge_to_storage(&correction_1_stor, a); -#ifdef USE_ENDOMORPHISM - if (size > 128) { - secp256k1_ge_to_storage(&correction_lam_stor, a); - } -#endif - secp256k1_ge_to_storage(&a2_stor, &correction); +static int secp256k1_ecmult_const_xonly(secp256k1_fe* r, const secp256k1_fe *n, const secp256k1_fe *d, const secp256k1_scalar *q, int known_on_curve) { - /* For odd numbers this is 2a (so replace it), for even ones a (so no-op) */ - secp256k1_ge_storage_cmov(&correction_1_stor, &a2_stor, skew_1 == 2); -#ifdef USE_ENDOMORPHISM - if (size > 128) { - secp256k1_ge_storage_cmov(&correction_lam_stor, &a2_stor, skew_lam == 2); - } -#endif + /* This algorithm is a generalization of Peter Dettman's technique for + * avoiding the square root in a random-basepoint x-only multiplication + * on a Weierstrass curve: + * https://mailarchive.ietf.org/arch/msg/cfrg/7DyYY6gg32wDgHAhgSb6XxMDlJA/ + * + * + * === Background: the effective affine technique === + * + * Let phi_u be the isomorphism that maps (x, y) on secp256k1 curve y^2 = x^3 + 7 to + * x' = u^2*x, y' = u^3*y on curve y'^2 = x'^3 + u^6*7. This new curve has the same order as + * the original (it is isomorphic), but moreover, has the same addition/doubling formulas, as + * the curve b=7 coefficient does not appear in those formulas (or at least does not appear in + * the formulas implemented in this codebase, both affine and Jacobian). See also Example 9.5.2 + * in https://www.math.auckland.ac.nz/~sgal018/crypto-book/ch9.pdf. + * + * This means any linear combination of secp256k1 points can be computed by applying phi_u + * (with non-zero u) on all input points (including the generator, if used), computing the + * linear combination on the isomorphic curve (using the same group laws), and then applying + * phi_u^{-1} to get back to secp256k1. + * + * Switching to Jacobian coordinates, note that phi_u applied to (X, Y, Z) is simply + * (X, Y, Z/u). Thus, if we want to compute (X1, Y1, Z) + (X2, Y2, Z), with identical Z + * coordinates, we can use phi_Z to transform it to (X1, Y1, 1) + (X2, Y2, 1) on an isomorphic + * curve where the affine addition formula can be used instead. + * If (X3, Y3, Z3) = (X1, Y1) + (X2, Y2) on that curve, then our answer on secp256k1 is + * (X3, Y3, Z3*Z). + * + * This is the effective affine technique: if we have a linear combination of group elements + * to compute, and all those group elements have the same Z coordinate, we can simply pretend + * that all those Z coordinates are 1, perform the computation that way, and then multiply the + * original Z coordinate back in. + * + * The technique works on any a=0 short Weierstrass curve. It is possible to generalize it to + * other curves too, but there the isomorphic curves will have different 'a' coefficients, + * which typically does affect the group laws. + * + * + * === Avoiding the square root for x-only point multiplication === + * + * In this function, we want to compute the X coordinate of q*(n/d, y), for + * y = sqrt((n/d)^3 + 7). Its negation would also be a valid Y coordinate, but by convention + * we pick whatever sqrt returns (which we assume to be a deterministic function). + * + * Let g = y^2*d^3 = n^3 + 7*d^3. This also means y = sqrt(g/d^3). + * Further let v = sqrt(d*g), which must exist as d*g = y^2*d^4 = (y*d^2)^2. + * + * The input point (n/d, y) also has Jacobian coordinates: + * + * (n/d, y, 1) + * = (n/d * v^2, y * v^3, v) + * = (n/d * d*g, y * sqrt(d^3*g^3), v) + * = (n/d * d*g, sqrt(y^2 * d^3*g^3), v) + * = (n*g, sqrt(g/d^3 * d^3*g^3), v) + * = (n*g, sqrt(g^4), v) + * = (n*g, g^2, v) + * + * It is easy to verify that both (n*g, g^2, v) and its negation (n*g, -g^2, v) have affine X + * coordinate n/d, and this holds even when the square root function doesn't have a + * deterministic sign. We choose the (n*g, g^2, v) version. + * + * Now switch to the effective affine curve using phi_v, where the input point has coordinates + * (n*g, g^2). Compute (X, Y, Z) = q * (n*g, g^2) there. + * + * Back on secp256k1, that means q * (n*g, g^2, v) = (X, Y, v*Z). This last point has affine X + * coordinate X / (v^2*Z^2) = X / (d*g*Z^2). Determining the affine Y coordinate would involve + * a square root, but as long as we only care about the resulting X coordinate, no square root + * is needed anywhere in this computation. + */ - /* Apply the correction */ - secp256k1_ge_from_storage(&correction, &correction_1_stor); - secp256k1_ge_neg(&correction, &correction); - secp256k1_gej_add_ge(r, r, &correction); + secp256k1_fe g, i; + secp256k1_ge p; + secp256k1_gej rj; -#ifdef USE_ENDOMORPHISM - if (size > 128) { - secp256k1_ge_from_storage(&correction, &correction_lam_stor); - secp256k1_ge_neg(&correction, &correction); - secp256k1_ge_mul_lambda(&correction, &correction); - secp256k1_gej_add_ge(r, r, &correction); + /* Compute g = (n^3 + B*d^3). */ + secp256k1_fe_sqr(&g, n); + secp256k1_fe_mul(&g, &g, n); + if (d) { + secp256k1_fe b; + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero(d)); + secp256k1_fe_sqr(&b, d); + VERIFY_CHECK(SECP256K1_B <= 8); /* magnitude of b will be <= 8 after the next call */ + secp256k1_fe_mul_int(&b, SECP256K1_B); + secp256k1_fe_mul(&b, &b, d); + secp256k1_fe_add(&g, &b); + if (!known_on_curve) { + /* We need to determine whether (n/d)^3 + 7 is square. + * + * is_square((n/d)^3 + 7) + * <=> is_square(((n/d)^3 + 7) * d^4) + * <=> is_square((n^3 + 7*d^3) * d) + * <=> is_square(g * d) + */ + secp256k1_fe c; + secp256k1_fe_mul(&c, &g, d); + if (!secp256k1_fe_is_square_var(&c)) return 0; + } + } else { + secp256k1_fe_add_int(&g, SECP256K1_B); + if (!known_on_curve) { + /* g at this point equals x^3 + 7. Test if it is square. */ + if (!secp256k1_fe_is_square_var(&g)) return 0; } -#endif } + + /* Compute base point P = (n*g, g^2), the effective affine version of (n*g, g^2, v), which has + * corresponding affine X coordinate n/d. */ + secp256k1_fe_mul(&p.x, &g, n); + secp256k1_fe_sqr(&p.y, &g); + p.infinity = 0; + + /* Perform x-only EC multiplication of P with q. */ + VERIFY_CHECK(!secp256k1_scalar_is_zero(q)); + secp256k1_ecmult_const(&rj, &p, q); + VERIFY_CHECK(!secp256k1_gej_is_infinity(&rj)); + + /* The resulting (X, Y, Z) point on the effective-affine isomorphic curve corresponds to + * (X, Y, Z*v) on the secp256k1 curve. The affine version of that has X coordinate + * (X / (Z^2*d*g)). */ + secp256k1_fe_sqr(&i, &rj.z); + secp256k1_fe_mul(&i, &i, &g); + if (d) secp256k1_fe_mul(&i, &i, d); + secp256k1_fe_inv(&i, &i); + secp256k1_fe_mul(r, &rj.x, &i); + + return 1; } #endif /* SECP256K1_ECMULT_CONST_IMPL_H */ diff --git a/src/secp256k1/src/ecmult_gen.h b/src/secp256k1/src/ecmult_gen.h index 30815e5a..43dd10c3 100644 --- a/src/secp256k1/src/ecmult_gen.h +++ b/src/secp256k1/src/ecmult_gen.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) Pieter Wuille, Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECMULT_GEN_H #define SECP256K1_ECMULT_GEN_H @@ -10,37 +10,130 @@ #include "scalar.h" #include "group.h" -#if ECMULT_GEN_PREC_BITS != 2 && ECMULT_GEN_PREC_BITS != 4 && ECMULT_GEN_PREC_BITS != 8 -# error "Set ECMULT_GEN_PREC_BITS to 2, 4 or 8." + +/* Configuration parameters for the signed-digit multi-comb algorithm: + * + * - COMB_BLOCKS is the number of blocks the input is split into. Each + * has a corresponding table. + * - COMB_TEETH is the number of bits simultaneously covered by one table. + * - COMB_RANGE is the number of bits in supported scalars. For production + * purposes, only 256 is reasonable, but smaller numbers are supported for + * exhaustive test mode. + * + * The comb's spacing (COMB_SPACING), or the distance between the teeth, + * is defined as ceil(COMB_RANGE / (COMB_BLOCKS * COMB_TEETH)). Each block covers + * COMB_SPACING * COMB_TEETH consecutive bits in the input. + * + * The size of the precomputed table is COMB_BLOCKS * (1 << (COMB_TEETH - 1)) + * secp256k1_ge_storages. + * + * The number of point additions equals COMB_BLOCKS * COMB_SPACING. Each point + * addition involves a cmov from (1 << (COMB_TEETH - 1)) table entries and a + * conditional negation. + * + * The number of point doublings is COMB_SPACING - 1. */ + +#if defined(EXHAUSTIVE_TEST_ORDER) +/* We need to control these values for exhaustive tests because + * the table cannot have infinities in them (secp256k1_ge_storage + * doesn't support infinities) */ +# undef COMB_BLOCKS +# undef COMB_TEETH +# if EXHAUSTIVE_TEST_ORDER == 7 +# define COMB_RANGE 3 +# define COMB_BLOCKS 1 +# define COMB_TEETH 2 +# elif EXHAUSTIVE_TEST_ORDER == 13 +# define COMB_RANGE 4 +# define COMB_BLOCKS 1 +# define COMB_TEETH 2 +# elif EXHAUSTIVE_TEST_ORDER == 199 +# define COMB_RANGE 8 +# define COMB_BLOCKS 2 +# define COMB_TEETH 3 +# else +# error "Unknown exhaustive test order" +# endif +# if (COMB_RANGE >= 32) || ((EXHAUSTIVE_TEST_ORDER >> (COMB_RANGE - 1)) != 1) +# error "COMB_RANGE != ceil(log2(EXHAUSTIVE_TEST_ORDER+1))" +# endif +#else /* !defined(EXHAUSTIVE_TEST_ORDER) */ +# define COMB_RANGE 256 +#endif /* defined(EXHAUSTIVE_TEST_ORDER) */ + +/* Use (11, 6) as default configuration, which results in a 22 kB table. */ +#ifndef COMB_BLOCKS +# define COMB_BLOCKS 11 +# ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_MSG("COMB_BLOCKS undefined, assuming default value") +# endif +#endif +#ifndef COMB_TEETH +# define COMB_TEETH 6 +# ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_MSG("COMB_TEETH undefined, assuming default value") +# endif +#endif +/* Use ceil(COMB_RANGE / (COMB_BLOCKS * COMB_TEETH)) as COMB_SPACING. */ +#define COMB_SPACING CEIL_DIV(COMB_RANGE, COMB_BLOCKS * COMB_TEETH) + +/* Range checks on the parameters. */ + +/* The remaining COMB_* parameters are derived values, don't modify these. */ +/* - The number of bits covered by all the blocks; must be at least COMB_RANGE. */ +#define COMB_BITS (COMB_BLOCKS * COMB_TEETH * COMB_SPACING) +/* - The number of entries per table. */ +#define COMB_POINTS (1 << (COMB_TEETH - 1)) + +/* Sanity checks. */ +#if !(1 <= COMB_BLOCKS && COMB_BLOCKS <= 256) +# error "COMB_BLOCKS must be in the range [1, 256]" +#endif +#if !(1 <= COMB_TEETH && COMB_TEETH <= 8) +# error "COMB_TEETH must be in the range [1, 8]" +#endif +#if COMB_BITS < COMB_RANGE +# error "COMB_BLOCKS * COMB_TEETH * COMB_SPACING is too low" +#endif + +/* These last 2 checks are not strictly required, but prevent gratuitously inefficient + * configurations. Note that they compare with 256 rather than COMB_RANGE, so they do + * permit somewhat excessive values for the exhaustive test case, where testing with + * suboptimal parameters may be desirable. */ +#if (COMB_BLOCKS - 1) * COMB_TEETH * COMB_SPACING >= 256 +# error "COMB_BLOCKS can be reduced" +#endif +#if COMB_BLOCKS * (COMB_TEETH - 1) * COMB_SPACING >= 256 +# error "COMB_TEETH can be reduced" +#endif + +#ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_DEF(COMB_RANGE) +# pragma message DEBUG_CONFIG_DEF(COMB_BLOCKS) +# pragma message DEBUG_CONFIG_DEF(COMB_TEETH) +# pragma message DEBUG_CONFIG_DEF(COMB_SPACING) #endif -#define ECMULT_GEN_PREC_B ECMULT_GEN_PREC_BITS -#define ECMULT_GEN_PREC_G (1 << ECMULT_GEN_PREC_B) -#define ECMULT_GEN_PREC_N (256 / ECMULT_GEN_PREC_B) typedef struct { - /* For accelerating the computation of a*G: - * To harden against timing attacks, use the following mechanism: - * * Break up the multiplicand into groups of PREC_B bits, called n_0, n_1, n_2, ..., n_(PREC_N-1). - * * Compute sum(n_i * (PREC_G)^i * G + U_i, i=0 ... PREC_N-1), where: - * * U_i = U * 2^i, for i=0 ... PREC_N-2 - * * U_i = U * (1-2^(PREC_N-1)), for i=PREC_N-1 - * where U is a point with no known corresponding scalar. Note that sum(U_i, i=0 ... PREC_N-1) = 0. - * For each i, and each of the PREC_G possible values of n_i, (n_i * (PREC_G)^i * G + U_i) is - * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0 ... PREC_N-1). - * None of the resulting prec group elements have a known scalar, and neither do any of - * the intermediate sums while computing a*G. - */ - secp256k1_ge_storage (*prec)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G]; /* prec[j][i] = (PREC_G)^j * i * G + U_i */ - secp256k1_scalar blind; - secp256k1_gej initial; + /* Whether the context has been built. */ + int built; + + /* Values chosen such that + * + * n*G == comb(n + scalar_offset, G/2) + ge_offset. + * + * This expression lets us use scalar blinding and optimize the comb precomputation. See + * ecmult_gen_impl.h for more details. */ + secp256k1_scalar scalar_offset; + secp256k1_ge ge_offset; + + /* Factor used for projective blinding. This value is used to rescale the Z + * coordinate of the first table lookup. */ + secp256k1_fe proj_blind; } secp256k1_ecmult_gen_context; -static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE; -static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context* ctx); -static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx, void **prealloc); -static void secp256k1_ecmult_gen_context_finalize_memcpy(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context* src); +static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx); static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context* ctx); -static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx); /** Multiply with the generator: R = a*G */ static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context* ctx, secp256k1_gej *r, const secp256k1_scalar *a); diff --git a/src/secp256k1/src/ecmult_gen_compute_table.h b/src/secp256k1/src/ecmult_gen_compute_table.h new file mode 100644 index 00000000..bd41803a --- /dev/null +++ b/src/secp256k1/src/ecmult_gen_compute_table.h @@ -0,0 +1,14 @@ +/*********************************************************************** + * Copyright (c) Pieter Wuille, Gregory Maxwell * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H +#define SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H + +#include "ecmult_gen.h" + +static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int blocks, int teeth, int spacing); + +#endif /* SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H */ diff --git a/src/secp256k1/src/ecmult_gen_compute_table_impl.h b/src/secp256k1/src/ecmult_gen_compute_table_impl.h new file mode 100644 index 00000000..6aa8d840 --- /dev/null +++ b/src/secp256k1/src/ecmult_gen_compute_table_impl.h @@ -0,0 +1,108 @@ +/*********************************************************************** + * Copyright (c) Pieter Wuille, Gregory Maxwell, Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H +#define SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H + +#include "ecmult_gen_compute_table.h" +#include "group_impl.h" +#include "field_impl.h" +#include "scalar_impl.h" +#include "ecmult_gen.h" +#include "util.h" + +static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int blocks, int teeth, int spacing) { + size_t points = ((size_t)1) << (teeth - 1); + size_t points_total = points * blocks; + secp256k1_ge* prec = checked_malloc(&default_error_callback, points_total * sizeof(*prec)); + secp256k1_gej* ds = checked_malloc(&default_error_callback, teeth * sizeof(*ds)); + secp256k1_gej* vs = checked_malloc(&default_error_callback, points_total * sizeof(*vs)); + secp256k1_gej u; + size_t vs_pos = 0; + secp256k1_scalar half; + int block, i; + + VERIFY_CHECK(points_total > 0); + + /* u is the running power of two times gen we're working with, initially gen/2. */ + secp256k1_scalar_half(&half, &secp256k1_scalar_one); + secp256k1_gej_set_infinity(&u); + for (i = 255; i >= 0; --i) { + /* Use a very simple multiplication ladder to avoid dependency on ecmult. */ + secp256k1_gej_double_var(&u, &u, NULL); + if (secp256k1_scalar_get_bits_limb32(&half, i, 1)) { + secp256k1_gej_add_ge_var(&u, &u, gen, NULL); + } + } +#ifdef VERIFY + { + /* Verify that u*2 = gen. */ + secp256k1_gej double_u; + secp256k1_gej_double_var(&double_u, &u, NULL); + VERIFY_CHECK(secp256k1_gej_eq_ge_var(&double_u, gen)); + } +#endif + + for (block = 0; block < blocks; ++block) { + int tooth; + /* Here u = 2^(block*teeth*spacing) * gen/2. */ + secp256k1_gej sum; + secp256k1_gej_set_infinity(&sum); + for (tooth = 0; tooth < teeth; ++tooth) { + /* Here u = 2^((block*teeth + tooth)*spacing) * gen/2. */ + /* Make sum = sum(2^((block*teeth + t)*spacing), t=0..tooth) * gen/2. */ + secp256k1_gej_add_var(&sum, &sum, &u, NULL); + /* Make u = 2^((block*teeth + tooth)*spacing + 1) * gen/2. */ + secp256k1_gej_double_var(&u, &u, NULL); + /* Make ds[tooth] = u = 2^((block*teeth + tooth)*spacing + 1) * gen/2. */ + ds[tooth] = u; + /* Make u = 2^((block*teeth + tooth + 1)*spacing) * gen/2, unless at the end. */ + if (block + tooth != blocks + teeth - 2) { + int bit_off; + for (bit_off = 1; bit_off < spacing; ++bit_off) { + secp256k1_gej_double_var(&u, &u, NULL); + } + } + } + /* Now u = 2^((block*teeth + teeth)*spacing) * gen/2 + * = 2^((block+1)*teeth*spacing) * gen/2 */ + + /* Next, compute the table entries for block number block in Jacobian coordinates. + * The entries will occupy vs[block*points + i] for i=0..points-1. + * We start by computing the first (i=0) value corresponding to all summed + * powers of two times G being negative. */ + secp256k1_gej_neg(&vs[vs_pos++], &sum); + /* And then teeth-1 times "double" the range of i values for which the table + * is computed: in each iteration, double the table by taking an existing + * table entry and adding ds[tooth]. */ + for (tooth = 0; tooth < teeth - 1; ++tooth) { + size_t stride = ((size_t)1) << tooth; + size_t index; + for (index = 0; index < stride; ++index, ++vs_pos) { + secp256k1_gej_add_var(&vs[vs_pos], &vs[vs_pos - stride], &ds[tooth], NULL); + } + } + } + VERIFY_CHECK(vs_pos == points_total); + + /* Convert all points simultaneously from secp256k1_gej to secp256k1_ge. */ + secp256k1_ge_set_all_gej_var(prec, vs, points_total); + /* Convert all points from secp256k1_ge to secp256k1_ge_storage output. */ + for (block = 0; block < blocks; ++block) { + size_t index; + for (index = 0; index < points; ++index) { + VERIFY_CHECK(!secp256k1_ge_is_infinity(&prec[block * points + index])); + secp256k1_ge_to_storage(&table[block * points + index], &prec[block * points + index]); + } + } + + /* Free memory. */ + free(vs); + free(ds); + free(prec); +} + +#endif /* SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H */ diff --git a/src/secp256k1/src/ecmult_gen_impl.h b/src/secp256k1/src/ecmult_gen_impl.h index a1b96393..070a1213 100644 --- a/src/secp256k1/src/ecmult_gen_impl.h +++ b/src/secp256k1/src/ecmult_gen_impl.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) Pieter Wuille, Gregory Maxwell, Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_ECMULT_GEN_IMPL_H #define SECP256K1_ECMULT_GEN_IMPL_H @@ -12,130 +12,228 @@ #include "group.h" #include "ecmult_gen.h" #include "hash_impl.h" -#ifdef USE_ECMULT_STATIC_PRECOMPUTATION -#include "ecmult_static_context.h" -#endif - -#ifndef USE_ECMULT_STATIC_PRECOMPUTATION - static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = ROUND_TO_ALIGN(sizeof(*((secp256k1_ecmult_gen_context*) NULL)->prec)); -#else - static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = 0; -#endif - -static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context *ctx) { - ctx->prec = NULL; -} - -static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx, void **prealloc) { -#ifndef USE_ECMULT_STATIC_PRECOMPUTATION - secp256k1_ge prec[ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G]; - secp256k1_gej gj; - secp256k1_gej nums_gej; - int i, j; - size_t const prealloc_size = SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE; - void* const base = *prealloc; -#endif - - if (ctx->prec != NULL) { - return; - } -#ifndef USE_ECMULT_STATIC_PRECOMPUTATION - ctx->prec = (secp256k1_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])manual_alloc(prealloc, prealloc_size, base, prealloc_size); - - /* get the generator */ - secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); - - /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */ - { - static const unsigned char nums_b32[33] = "The scalar for this x is unknown"; - secp256k1_fe nums_x; - secp256k1_ge nums_ge; - int r; - r = secp256k1_fe_set_b32(&nums_x, nums_b32); - (void)r; - VERIFY_CHECK(r); - r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0); - (void)r; - VERIFY_CHECK(r); - secp256k1_gej_set_ge(&nums_gej, &nums_ge); - /* Add G to make the bits in x uniformly distributed. */ - secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, &secp256k1_ge_const_g, NULL); - } +#include "precomputed_ecmult_gen.h" - /* compute prec. */ - { - secp256k1_gej precj[ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G]; /* Jacobian versions of prec. */ - secp256k1_gej gbase; - secp256k1_gej numsbase; - gbase = gj; /* PREC_G^j * G */ - numsbase = nums_gej; /* 2^j * nums. */ - for (j = 0; j < ECMULT_GEN_PREC_N; j++) { - /* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */ - precj[j*ECMULT_GEN_PREC_G] = numsbase; - for (i = 1; i < ECMULT_GEN_PREC_G; i++) { - secp256k1_gej_add_var(&precj[j*ECMULT_GEN_PREC_G + i], &precj[j*ECMULT_GEN_PREC_G + i - 1], &gbase, NULL); - } - /* Multiply gbase by PREC_G. */ - for (i = 0; i < ECMULT_GEN_PREC_B; i++) { - secp256k1_gej_double_var(&gbase, &gbase, NULL); - } - /* Multiply numbase by 2. */ - secp256k1_gej_double_var(&numsbase, &numsbase, NULL); - if (j == ECMULT_GEN_PREC_N - 2) { - /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */ - secp256k1_gej_neg(&numsbase, &numsbase); - secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL); - } - } - secp256k1_ge_set_all_gej_var(prec, precj, ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G); - } - for (j = 0; j < ECMULT_GEN_PREC_N; j++) { - for (i = 0; i < ECMULT_GEN_PREC_G; i++) { - secp256k1_ge_to_storage(&(*ctx->prec)[j][i], &prec[j*ECMULT_GEN_PREC_G + i]); - } - } -#else - (void)prealloc; - ctx->prec = (secp256k1_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])secp256k1_ecmult_static_context; -#endif +static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx) { secp256k1_ecmult_gen_blind(ctx, NULL); + ctx->built = 1; } static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx) { - return ctx->prec != NULL; + return ctx->built; } -static void secp256k1_ecmult_gen_context_finalize_memcpy(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context *src) { -#ifndef USE_ECMULT_STATIC_PRECOMPUTATION - if (src->prec != NULL) { - /* We cast to void* first to suppress a -Wcast-align warning. */ - dst->prec = (secp256k1_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])(void*)((unsigned char*)dst + ((unsigned char*)src->prec - (unsigned char*)src)); - } -#else - (void)dst, (void)src; -#endif +static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx) { + ctx->built = 0; + secp256k1_scalar_clear(&ctx->scalar_offset); + secp256k1_ge_clear(&ctx->ge_offset); + secp256k1_fe_clear(&ctx->proj_blind); } -static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx) { - secp256k1_scalar_clear(&ctx->blind); - secp256k1_gej_clear(&ctx->initial); - ctx->prec = NULL; +/* Compute the scalar (2^COMB_BITS - 1) / 2, the difference between the gn argument to + * secp256k1_ecmult_gen, and the scalar whose encoding the table lookup bits are drawn + * from (before applying blinding). */ +static void secp256k1_ecmult_gen_scalar_diff(secp256k1_scalar* diff) { + int i; + + /* Compute scalar -1/2. */ + secp256k1_scalar neghalf; + secp256k1_scalar_half(&neghalf, &secp256k1_scalar_one); + secp256k1_scalar_negate(&neghalf, &neghalf); + + /* Compute offset = 2^(COMB_BITS - 1). */ + *diff = secp256k1_scalar_one; + for (i = 0; i < COMB_BITS - 1; ++i) { + secp256k1_scalar_add(diff, diff, diff); + } + + /* The result is the sum 2^(COMB_BITS - 1) + (-1/2). */ + secp256k1_scalar_add(diff, diff, &neghalf); } static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *gn) { + uint32_t comb_off; secp256k1_ge add; + secp256k1_fe neg; secp256k1_ge_storage adds; - secp256k1_scalar gnb; - int bits; - int i, j; + secp256k1_scalar d; + /* Array of uint32_t values large enough to store COMB_BITS bits. Only the bottom + * 8 are ever nonzero, but having the zero padding at the end if COMB_BITS>256 + * avoids the need to deal with out-of-bounds reads from a scalar. */ + uint32_t recoded[(COMB_BITS + 31) >> 5] = {0}; + int first = 1, i; + memset(&adds, 0, sizeof(adds)); - *r = ctx->initial; - /* Blind scalar/point multiplication by computing (n-b)G + bG instead of nG. */ - secp256k1_scalar_add(&gnb, gn, &ctx->blind); - add.infinity = 0; - for (j = 0; j < ECMULT_GEN_PREC_N; j++) { - bits = secp256k1_scalar_get_bits(&gnb, j * ECMULT_GEN_PREC_B, ECMULT_GEN_PREC_B); - for (i = 0; i < ECMULT_GEN_PREC_G; i++) { + + /* We want to compute R = gn*G. + * + * To blind the scalar used in the computation, we rewrite this to be + * R = (gn - b)*G + b*G, with a blinding value b determined by the context. + * + * The multiplication (gn-b)*G will be performed using a signed-digit multi-comb (see Section + * 3.3 of "Fast and compact elliptic-curve cryptography" by Mike Hamburg, + * https://eprint.iacr.org/2012/309). + * + * Let comb(s, P) = sum((2*s[i]-1)*2^i*P for i=0..COMB_BITS-1), where s[i] is the i'th bit of + * the binary representation of scalar s. So the s[i] values determine whether -2^i*P (s[i]=0) + * or +2^i*P (s[i]=1) are added together. COMB_BITS is at least 256, so all bits of s are + * covered. By manipulating: + * + * comb(s, P) = sum((2*s[i]-1)*2^i*P for i=0..COMB_BITS-1) + * <=> comb(s, P) = sum((2*s[i]-1)*2^i for i=0..COMB_BITS-1) * P + * <=> comb(s, P) = (2*sum(s[i]*2^i for i=0..COMB_BITS-1) - sum(2^i for i=0..COMB_BITS-1)) * P + * <=> comb(s, P) = (2*s - (2^COMB_BITS - 1)) * P + * + * If we wanted to compute (gn-b)*G as comb(s, G), it would need to hold that + * + * (gn - b) * G = (2*s - (2^COMB_BITS - 1)) * G + * <=> s = (gn - b + (2^COMB_BITS - 1))/2 (mod order) + * + * We use an alternative here that avoids the modular division by two: instead we compute + * (gn-b)*G as comb(d, G/2). For that to hold it must be the case that + * + * (gn - b) * G = (2*d - (2^COMB_BITS - 1)) * (G/2) + * <=> d = gn - b + (2^COMB_BITS - 1)/2 (mod order) + * + * Adding precomputation, our final equations become: + * + * ctx->scalar_offset = (2^COMB_BITS - 1)/2 - b (mod order) + * ctx->ge_offset = b*G + * d = gn + ctx->scalar_offset (mod order) + * R = comb(d, G/2) + ctx->ge_offset + * + * comb(d, G/2) function is then computed by summing + or - 2^(i-1)*G, for i=0..COMB_BITS-1, + * depending on the value of the bits d[i] of the binary representation of scalar d. + */ + + /* Compute the scalar d = (gn + ctx->scalar_offset). */ + secp256k1_scalar_add(&d, &ctx->scalar_offset, gn); + /* Convert to recoded array. */ + for (i = 0; i < 8 && i < ((COMB_BITS + 31) >> 5); ++i) { + recoded[i] = secp256k1_scalar_get_bits_limb32(&d, 32 * i, 32); + } + secp256k1_scalar_clear(&d); + + /* In secp256k1_ecmult_gen_prec_table we have precomputed sums of the + * (2*d[i]-1) * 2^(i-1) * G points, for various combinations of i positions. + * We rewrite our equation in terms of these table entries. + * + * Let mask(b) = sum(2^((b*COMB_TEETH + t)*COMB_SPACING) for t=0..COMB_TEETH-1), + * with b ranging from 0 to COMB_BLOCKS-1. So for example with COMB_BLOCKS=11, + * COMB_TEETH=6, COMB_SPACING=4, we would have: + * mask(0) = 2^0 + 2^4 + 2^8 + 2^12 + 2^16 + 2^20, + * mask(1) = 2^24 + 2^28 + 2^32 + 2^36 + 2^40 + 2^44, + * mask(2) = 2^48 + 2^52 + 2^56 + 2^60 + 2^64 + 2^68, + * ... + * mask(10) = 2^240 + 2^244 + 2^248 + 2^252 + 2^256 + 2^260 + * + * We will split up the bits d[i] using these masks. Specifically, each mask is + * used COMB_SPACING times, with different shifts: + * + * d = (d & mask(0)<<0) + (d & mask(1)<<0) + ... + (d & mask(COMB_BLOCKS-1)<<0) + + * (d & mask(0)<<1) + (d & mask(1)<<1) + ... + (d & mask(COMB_BLOCKS-1)<<1) + + * ... + * (d & mask(0)<<(COMB_SPACING-1)) + ... + * + * Now define table(b, m) = (m - mask(b)/2) * G, and we will precompute these values for + * b=0..COMB_BLOCKS-1, and for all values m which (d & mask(b)) can take (so m can take on + * 2^COMB_TEETH distinct values). + * + * If m=(d & mask(b)), then table(b, m) is the sum of 2^i * (2*d[i]-1) * G/2, with i + * iterating over the set bits in mask(b). In our example, table(2, 2^48 + 2^56 + 2^68) + * would equal (2^48 - 2^52 + 2^56 - 2^60 - 2^64 + 2^68) * G/2. + * + * With that, we can rewrite comb(d, G/2) as: + * + * 2^0 * (table(0, d>>0 & mask(0)) + ... + table(COMB_BLOCKS-1, d>>0 & mask(COMP_BLOCKS-1))) + * + 2^1 * (table(0, d>>1 & mask(0)) + ... + table(COMB_BLOCKS-1, d>>1 & mask(COMP_BLOCKS-1))) + * + 2^2 * (table(0, d>>2 & mask(0)) + ... + table(COMB_BLOCKS-1, d>>2 & mask(COMP_BLOCKS-1))) + * + ... + * + 2^(COMB_SPACING-1) * (table(0, d>>(COMB_SPACING-1) & mask(0)) + ...) + * + * Or more generically as + * + * sum(2^i * sum(table(b, d>>i & mask(b)), b=0..COMB_BLOCKS-1), i=0..COMB_SPACING-1) + * + * This is implemented using an outer loop that runs in reverse order over the lines of this + * equation, which in each iteration runs an inner loop that adds the terms of that line and + * then doubles the result before proceeding to the next line. + * + * In pseudocode: + * c = infinity + * for comb_off in range(COMB_SPACING - 1, -1, -1): + * for block in range(COMB_BLOCKS): + * c += table(block, (d >> comb_off) & mask(block)) + * if comb_off > 0: + * c = 2*c + * return c + * + * This computes c = comb(d, G/2), and thus finally R = c + ctx->ge_offset. Note that it would + * be possible to apply an initial offset instead of a final offset (moving ge_offset to take + * the place of infinity above), but the chosen approach allows using (in a future improvement) + * an incomplete addition formula for most of the multiplication. + * + * The last question is how to implement the table(b, m) function. For any value of b, + * m=(d & mask(b)) can only take on at most 2^COMB_TEETH possible values (the last one may have + * fewer as there mask(b) may exceed the curve order). So we could create COMB_BLOCK tables + * which contain a value for each such m value. + * + * Now note that if m=(d & mask(b)), then flipping the relevant bits of m results in negating + * the result of table(b, m). This is because table(b,m XOR mask(b)) = table(b, mask(b) - m) = + * (mask(b) - m - mask(b)/2)*G = (-m + mask(b)/2)*G = -(m - mask(b)/2)*G = -table(b, m). + * Because of this it suffices to only store the first half of the m values for every b. If an + * entry from the second half is needed, we look up its bit-flipped version instead, and negate + * it. + * + * secp256k1_ecmult_gen_prec_table[b][index] stores the table(b, m) entries. Index + * is the relevant mask(b) bits of m packed together without gaps. */ + + /* Outer loop: iterate over comb_off from COMB_SPACING - 1 down to 0. */ + comb_off = COMB_SPACING - 1; + while (1) { + uint32_t block; + uint32_t bit_pos = comb_off; + /* Inner loop: for each block, add table entries to the result. */ + for (block = 0; block < COMB_BLOCKS; ++block) { + /* Gather the mask(block)-selected bits of d into bits. They're packed: + * bits[tooth] = d[(block*COMB_TEETH + tooth)*COMB_SPACING + comb_off]. */ + uint32_t bits = 0, sign, abs, index, tooth; + /* Instead of reading individual bits here to construct the bits variable, + * build up the result by xoring rotated reads together. In every iteration, + * one additional bit is made correct, starting at the bottom. The bits + * above that contain junk. This reduces leakage by avoiding computations + * on variables that can have only a low number of possible values (e.g., + * just two values when reading a single bit into a variable.) See: + * https://www.usenix.org/system/files/conference/usenixsecurity18/sec18-alam.pdf + */ + for (tooth = 0; tooth < COMB_TEETH; ++tooth) { + /* Construct bitdata s.t. the bottom bit is the bit we'd like to read. + * + * We could just set bitdata = recoded[bit_pos >> 5] >> (bit_pos & 0x1f) + * but this would simply discard the bits that fall off at the bottom, + * and thus, for example, bitdata could still have only two values if we + * happen to shift by exactly 31 positions. We use a rotation instead, + * which ensures that bitdata doesn't loose entropy. This relies on the + * rotation being atomic, i.e., the compiler emitting an actual rot + * instruction. */ + uint32_t bitdata = secp256k1_rotr32(recoded[bit_pos >> 5], bit_pos & 0x1f); + + /* Clear the bit at position tooth, but sssh, don't tell clang. */ + uint32_t volatile vmask = ~(1 << tooth); + bits &= vmask; + + /* Write the bit into position tooth (and junk into higher bits). */ + bits ^= bitdata << tooth; + bit_pos += COMB_SPACING; + } + + /* If the top bit of bits is 1, flip them all (corresponding to looking up + * the negated table value), and remember to negate the result in sign. */ + sign = (bits >> (COMB_TEETH - 1)) & 1; + abs = (bits ^ -sign) & (COMB_POINTS - 1); + VERIFY_CHECK(sign == 0 || sign == 1); + VERIFY_CHECK(abs < COMB_POINTS); + /** This uses a conditional move to avoid any secret data in array indexes. * _Any_ use of secret indexes has been demonstrated to result in timing * sidechannels, even when the cache-line access patterns are uniform. @@ -144,68 +242,100 @@ static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp25 * (https://cryptojedi.org/peter/data/chesrump-20130822.pdf) and * "Cache Attacks and Countermeasures: the Case of AES", RSA 2006, * by Dag Arne Osvik, Adi Shamir, and Eran Tromer - * (http://www.tau.ac.il/~tromer/papers/cache.pdf) + * (https://www.tau.ac.il/~tromer/papers/cache.pdf) */ - secp256k1_ge_storage_cmov(&adds, &(*ctx->prec)[j][i], i == bits); + for (index = 0; index < COMB_POINTS; ++index) { + secp256k1_ge_storage_cmov(&adds, &secp256k1_ecmult_gen_prec_table[block][index], index == abs); + } + + /* Set add=adds or add=-adds, in constant time, based on sign. */ + secp256k1_ge_from_storage(&add, &adds); + secp256k1_fe_negate(&neg, &add.y, 1); + secp256k1_fe_cmov(&add.y, &neg, sign); + + /* Add the looked up and conditionally negated value to r. */ + if (EXPECT(first, 0)) { + /* If this is the first table lookup, we can skip addition. */ + secp256k1_gej_set_ge(r, &add); + /* Give the entry a random Z coordinate to blind intermediary results. */ + secp256k1_gej_rescale(r, &ctx->proj_blind); + first = 0; + } else { + secp256k1_gej_add_ge(r, r, &add); + } } - secp256k1_ge_from_storage(&add, &adds); - secp256k1_gej_add_ge(r, r, &add); + + /* Double the result, except in the last iteration. */ + if (comb_off-- == 0) break; + secp256k1_gej_double(r, r); } - bits = 0; + + /* Correct for the scalar_offset added at the start (ge_offset = b*G, while b was + * subtracted from the input scalar gn). */ + secp256k1_gej_add_ge(r, r, &ctx->ge_offset); + + /* Cleanup. */ + secp256k1_fe_clear(&neg); secp256k1_ge_clear(&add); - secp256k1_scalar_clear(&gnb); + secp256k1_memclear(&adds, sizeof(adds)); + secp256k1_memclear(&recoded, sizeof(recoded)); } /* Setup blinding values for secp256k1_ecmult_gen. */ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const unsigned char *seed32) { secp256k1_scalar b; + secp256k1_scalar diff; secp256k1_gej gb; - secp256k1_fe s; + secp256k1_fe f; unsigned char nonce32[32]; secp256k1_rfc6979_hmac_sha256 rng; - int retry; - unsigned char keydata[64] = {0}; + unsigned char keydata[64]; + + /* Compute the (2^COMB_BITS - 1)/2 term once. */ + secp256k1_ecmult_gen_scalar_diff(&diff); + if (seed32 == NULL) { - /* When seed is NULL, reset the initial point and blinding value. */ - secp256k1_gej_set_ge(&ctx->initial, &secp256k1_ge_const_g); - secp256k1_gej_neg(&ctx->initial, &ctx->initial); - secp256k1_scalar_set_int(&ctx->blind, 1); + /* When seed is NULL, reset the final point and blinding value. */ + secp256k1_ge_neg(&ctx->ge_offset, &secp256k1_ge_const_g); + secp256k1_scalar_add(&ctx->scalar_offset, &secp256k1_scalar_one, &diff); + ctx->proj_blind = secp256k1_fe_one; + return; } /* The prior blinding value (if not reset) is chained forward by including it in the hash. */ - secp256k1_scalar_get_b32(nonce32, &ctx->blind); + secp256k1_scalar_get_b32(keydata, &ctx->scalar_offset); /** Using a CSPRNG allows a failure free interface, avoids needing large amounts of random data, * and guards against weak or adversarial seeds. This is a simpler and safer interface than * asking the caller for blinding values directly and expecting them to retry on failure. */ - memcpy(keydata, nonce32, 32); - if (seed32 != NULL) { - memcpy(keydata + 32, seed32, 32); - } - secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, seed32 ? 64 : 32); - memset(keydata, 0, sizeof(keydata)); - /* Retry for out of range results to achieve uniformity. */ - do { - secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); - retry = !secp256k1_fe_set_b32(&s, nonce32); - retry = retry || secp256k1_fe_is_zero(&s); - } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > Fp. */ - /* Randomize the projection to defend against multiplier sidechannels. */ - secp256k1_gej_rescale(&ctx->initial, &s); - secp256k1_fe_clear(&s); - do { - secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); - secp256k1_scalar_set_b32(&b, nonce32, &retry); - /* A blinding value of 0 works, but would undermine the projection hardening. */ - retry = retry || secp256k1_scalar_is_zero(&b); - } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > order. */ + VERIFY_CHECK(seed32 != NULL); + memcpy(keydata + 32, seed32, 32); + secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, 64); + secp256k1_memclear(keydata, sizeof(keydata)); + + /* Compute projective blinding factor (cannot be 0). */ + secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); + secp256k1_fe_set_b32_mod(&f, nonce32); + secp256k1_fe_cmov(&f, &secp256k1_fe_one, secp256k1_fe_normalizes_to_zero(&f)); + ctx->proj_blind = f; + + /* For a random blinding value b, set scalar_offset=diff-b, ge_offset=bG */ + secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); + secp256k1_scalar_set_b32(&b, nonce32, NULL); + /* The blinding value cannot be zero, as that would mean ge_offset = infinity, + * which secp256k1_gej_add_ge cannot handle. */ + secp256k1_scalar_cmov(&b, &secp256k1_scalar_one, secp256k1_scalar_is_zero(&b)); secp256k1_rfc6979_hmac_sha256_finalize(&rng); - memset(nonce32, 0, 32); secp256k1_ecmult_gen(ctx, &gb, &b); secp256k1_scalar_negate(&b, &b); - ctx->blind = b; - ctx->initial = gb; + secp256k1_scalar_add(&ctx->scalar_offset, &b, &diff); + secp256k1_ge_set_gej(&ctx->ge_offset, &gb); + + /* Clean up. */ + secp256k1_memclear(nonce32, sizeof(nonce32)); secp256k1_scalar_clear(&b); secp256k1_gej_clear(&gb); + secp256k1_fe_clear(&f); + secp256k1_rfc6979_hmac_sha256_clear(&rng); } #endif /* SECP256K1_ECMULT_GEN_IMPL_H */ diff --git a/src/secp256k1/src/ecmult_impl.h b/src/secp256k1/src/ecmult_impl.h index 866b63a3..0b53b3fc 100644 --- a/src/secp256k1/src/ecmult_impl.h +++ b/src/secp256k1/src/ecmult_impl.h @@ -1,8 +1,8 @@ -/***************************************************************************** - * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra, Jonas Nick * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php. * - *****************************************************************************/ +/****************************************************************************** + * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + ******************************************************************************/ #ifndef SECP256K1_ECMULT_IMPL_H #define SECP256K1_ECMULT_IMPL_H @@ -14,6 +14,7 @@ #include "group.h" #include "scalar.h" #include "ecmult.h" +#include "precomputed_ecmult.h" #if defined(EXHAUSTIVE_TEST_ORDER) /* We need to lower these values for exhaustive tests because @@ -21,13 +22,10 @@ * affine-isomorphism stuff which tracks z-ratios) */ # if EXHAUSTIVE_TEST_ORDER > 128 # define WINDOW_A 5 -# define WINDOW_G 8 # elif EXHAUSTIVE_TEST_ORDER > 8 # define WINDOW_A 4 -# define WINDOW_G 4 # else # define WINDOW_A 2 -# define WINDOW_G 2 # endif #else /* optimal for 128-bit and 256-bit exponents. */ @@ -38,65 +36,43 @@ * (1 << (WINDOW_G - 2)) * sizeof(secp256k1_ge_storage) bytes, * where sizeof(secp256k1_ge_storage) is typically 64 bytes but can * be larger due to platform-specific padding and alignment. - * If the endomorphism optimization is enabled (USE_ENDOMORMPHSIM) - * two tables of this size are used instead of only one. + * Two tables of this size are used (due to the endomorphism + * optimization). */ -# define WINDOW_G ECMULT_WINDOW_SIZE #endif -/* Noone will ever need more than a window size of 24. The code might - * be correct for larger values of ECMULT_WINDOW_SIZE but this is not - * tested. - * - * The following limitations are known, and there are probably more: - * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect - * because the size of the memory object that we allocate (in bytes) - * will not fit in a size_t. - * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect - * because certain expressions will overflow. - */ -#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24 -# error Set ECMULT_WINDOW_SIZE to an integer in range [2..24]. -#endif - -#ifdef USE_ENDOMORPHISM - #define WNAF_BITS 128 -#else - #define WNAF_BITS 256 -#endif -#define WNAF_SIZE_BITS(bits, w) (((bits) + (w) - 1) / (w)) +#define WNAF_BITS 128 +#define WNAF_SIZE_BITS(bits, w) CEIL_DIV(bits, w) #define WNAF_SIZE(w) WNAF_SIZE_BITS(WNAF_BITS, w) -/** The number of entries a table with precomputed multiples needs to have. */ -#define ECMULT_TABLE_SIZE(w) (1 << ((w)-2)) - /* The number of objects allocated on the scratch space for ecmult_multi algorithms */ #define PIPPENGER_SCRATCH_OBJECTS 6 -#define STRAUSS_SCRATCH_OBJECTS 6 +#define STRAUSS_SCRATCH_OBJECTS 5 #define PIPPENGER_MAX_BUCKET_WINDOW 12 /* Minimum number of points for which pippenger_wnaf is faster than strauss wnaf */ -#ifdef USE_ENDOMORPHISM - #define ECMULT_PIPPENGER_THRESHOLD 88 -#else - #define ECMULT_PIPPENGER_THRESHOLD 160 -#endif +#define ECMULT_PIPPENGER_THRESHOLD 88 -#ifdef USE_ENDOMORPHISM - #define ECMULT_MAX_POINTS_PER_BATCH 5000000 -#else - #define ECMULT_MAX_POINTS_PER_BATCH 10000000 -#endif +#define ECMULT_MAX_POINTS_PER_BATCH 5000000 -/** Fill a table 'prej' with precomputed odd multiples of a. Prej will contain - * the values [1*a,3*a,...,(2*n-1)*a], so it space for n values. zr[0] will - * contain prej[0].z / a.z. The other zr[i] values = prej[i].z / prej[i-1].z. - * Prej's Z values are undefined, except for the last value. +/** Fill a table 'pre_a' with precomputed odd multiples of a. + * pre_a will contain [1*a,3*a,...,(2*n-1)*a], so it needs space for n group elements. + * zr needs space for n field elements. + * + * Although pre_a is an array of _ge rather than _gej, it actually represents elements + * in Jacobian coordinates with their z coordinates omitted. The omitted z-coordinates + * can be recovered using z and zr. Using the notation z(b) to represent the omitted + * z coordinate of b: + * - z(pre_a[n-1]) = 'z' + * - z(pre_a[i-1]) = z(pre_a[i]) / zr[i] for n > i > 0 + * + * Lastly the zr[0] value, which isn't used above, is set so that: + * - a.z = z(pre_a[0]) / zr[0] */ -static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_gej *prej, secp256k1_fe *zr, const secp256k1_gej *a) { - secp256k1_gej d; - secp256k1_ge a_ge, d_ge; +static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_ge *pre_a, secp256k1_fe *zr, secp256k1_fe *z, const secp256k1_gej *a) { + secp256k1_gej d, ai; + secp256k1_ge d_ge; int i; VERIFY_CHECK(!a->infinity); @@ -104,287 +80,76 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_gej *prej, sec secp256k1_gej_double_var(&d, a, NULL); /* - * Perform the additions on an isomorphism where 'd' is affine: drop the z coordinate - * of 'd', and scale the 1P starting value's x/y coordinates without changing its z. + * Perform the additions using an isomorphic curve Y^2 = X^3 + 7*C^6 where C := d.z. + * The isomorphism, phi, maps a secp256k1 point (x, y) to the point (x*C^2, y*C^3) on the other curve. + * In Jacobian coordinates phi maps (x, y, z) to (x*C^2, y*C^3, z) or, equivalently to (x, y, z/C). + * + * phi(x, y, z) = (x*C^2, y*C^3, z) = (x, y, z/C) + * d_ge := phi(d) = (d.x, d.y, 1) + * ai := phi(a) = (a.x*C^2, a.y*C^3, a.z) + * + * The group addition functions work correctly on these isomorphic curves. + * In particular phi(d) is easy to represent in affine coordinates under this isomorphism. + * This lets us use the faster secp256k1_gej_add_ge_var group addition function that we wouldn't be able to use otherwise. */ - d_ge.x = d.x; - d_ge.y = d.y; - d_ge.infinity = 0; - - secp256k1_ge_set_gej_zinv(&a_ge, a, &d.z); - prej[0].x = a_ge.x; - prej[0].y = a_ge.y; - prej[0].z = a->z; - prej[0].infinity = 0; + secp256k1_ge_set_xy(&d_ge, &d.x, &d.y); + secp256k1_ge_set_gej_zinv(&pre_a[0], a, &d.z); + secp256k1_gej_set_ge(&ai, &pre_a[0]); + ai.z = a->z; + /* pre_a[0] is the point (a.x*C^2, a.y*C^3, a.z*C) which is equivalent to a. + * Set zr[0] to C, which is the ratio between the omitted z(pre_a[0]) value and a.z. + */ zr[0] = d.z; + for (i = 1; i < n; i++) { - secp256k1_gej_add_ge_var(&prej[i], &prej[i-1], &d_ge, &zr[i]); + secp256k1_gej_add_ge_var(&ai, &ai, &d_ge, &zr[i]); + secp256k1_ge_set_xy(&pre_a[i], &ai.x, &ai.y); } - /* - * Each point in 'prej' has a z coordinate too small by a factor of 'd.z'. Only - * the final point's z coordinate is actually used though, so just update that. + /* Multiply the last z-coordinate by C to undo the isomorphism. + * Since the z-coordinates of the pre_a values are implied by the zr array of z-coordinate ratios, + * undoing the isomorphism here undoes the isomorphism for all pre_a values. */ - secp256k1_fe_mul(&prej[n-1].z, &prej[n-1].z, &d.z); + secp256k1_fe_mul(z, &ai.z, &d.z); } -/** Fill a table 'pre' with precomputed odd multiples of a. - * - * There are two versions of this function: - * - secp256k1_ecmult_odd_multiples_table_globalz_windowa which brings its - * resulting point set to a single constant Z denominator, stores the X and Y - * coordinates as ge_storage points in pre, and stores the global Z in rz. - * It only operates on tables sized for WINDOW_A wnaf multiples. - * - secp256k1_ecmult_odd_multiples_table_storage_var, which converts its - * resulting point set to actually affine points, and stores those in pre. - * It operates on tables of any size. - * - * To compute a*P + b*G, we compute a table for P using the first function, - * and for G using the second (which requires an inverse, but it only needs to - * happen once). - */ -static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) { - secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)]; - secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)]; - - /* Compute the odd multiples in Jacobian form. */ - secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), prej, zr, a); - /* Bring them to the same Z denominator. */ - secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A), pre, globalz, prej, zr); +SECP256K1_INLINE static void secp256k1_ecmult_table_verify(int n, int w) { + (void)n; + (void)w; + VERIFY_CHECK(((n) & 1) == 1); + VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); + VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); } -static void secp256k1_ecmult_odd_multiples_table_storage_var(const int n, secp256k1_ge_storage *pre, const secp256k1_gej *a) { - secp256k1_gej d; - secp256k1_ge d_ge, p_ge; - secp256k1_gej pj; - secp256k1_fe zi; - secp256k1_fe zr; - secp256k1_fe dx_over_dz_squared; - int i; - - VERIFY_CHECK(!a->infinity); - - secp256k1_gej_double_var(&d, a, NULL); - - /* First, we perform all the additions in an isomorphic curve obtained by multiplying - * all `z` coordinates by 1/`d.z`. In these coordinates `d` is affine so we can use - * `secp256k1_gej_add_ge_var` to perform the additions. For each addition, we store - * the resulting y-coordinate and the z-ratio, since we only have enough memory to - * store two field elements. These are sufficient to efficiently undo the isomorphism - * and recompute all the `x`s. - */ - d_ge.x = d.x; - d_ge.y = d.y; - d_ge.infinity = 0; - - secp256k1_ge_set_gej_zinv(&p_ge, a, &d.z); - pj.x = p_ge.x; - pj.y = p_ge.y; - pj.z = a->z; - pj.infinity = 0; - - for (i = 0; i < (n - 1); i++) { - secp256k1_fe_normalize_var(&pj.y); - secp256k1_fe_to_storage(&pre[i].y, &pj.y); - secp256k1_gej_add_ge_var(&pj, &pj, &d_ge, &zr); - secp256k1_fe_normalize_var(&zr); - secp256k1_fe_to_storage(&pre[i].x, &zr); - } - - /* Invert d.z in the same batch, preserving pj.z so we can extract 1/d.z */ - secp256k1_fe_mul(&zi, &pj.z, &d.z); - secp256k1_fe_inv_var(&zi, &zi); - - /* Directly set `pre[n - 1]` to `pj`, saving the inverted z-coordinate so - * that we can combine it with the saved z-ratios to compute the other zs - * without any more inversions. */ - secp256k1_ge_set_gej_zinv(&p_ge, &pj, &zi); - secp256k1_ge_to_storage(&pre[n - 1], &p_ge); - - /* Compute the actual x-coordinate of D, which will be needed below. */ - secp256k1_fe_mul(&d.z, &zi, &pj.z); /* d.z = 1/d.z */ - secp256k1_fe_sqr(&dx_over_dz_squared, &d.z); - secp256k1_fe_mul(&dx_over_dz_squared, &dx_over_dz_squared, &d.x); - - /* Going into the second loop, we have set `pre[n-1]` to its final affine - * form, but still need to set `pre[i]` for `i` in 0 through `n-2`. We - * have `zi = (p.z * d.z)^-1`, where - * - * `p.z` is the z-coordinate of the point on the isomorphic curve - * which was ultimately assigned to `pre[n-1]`. - * `d.z` is the multiplier that must be applied to all z-coordinates - * to move from our isomorphic curve back to secp256k1; so the - * product `p.z * d.z` is the z-coordinate of the secp256k1 - * point assigned to `pre[n-1]`. - * - * All subsequent inverse-z-coordinates can be obtained by multiplying this - * factor by successive z-ratios, which is much more efficient than directly - * computing each one. - * - * Importantly, these inverse-zs will be coordinates of points on secp256k1, - * while our other stored values come from computations on the isomorphic - * curve. So in the below loop, we will take care not to actually use `zi` - * or any derived values until we're back on secp256k1. - */ - i = n - 1; - while (i > 0) { - secp256k1_fe zi2, zi3; - const secp256k1_fe *rzr; - i--; - - secp256k1_ge_from_storage(&p_ge, &pre[i]); - - /* For each remaining point, we extract the z-ratio from the stored - * x-coordinate, compute its z^-1 from that, and compute the full - * point from that. */ - rzr = &p_ge.x; - secp256k1_fe_mul(&zi, &zi, rzr); - secp256k1_fe_sqr(&zi2, &zi); - secp256k1_fe_mul(&zi3, &zi2, &zi); - /* To compute the actual x-coordinate, we use the stored z ratio and - * y-coordinate, which we obtained from `secp256k1_gej_add_ge_var` - * in the loop above, as well as the inverse of the square of its - * z-coordinate. We store the latter in the `zi2` variable, which is - * computed iteratively starting from the overall Z inverse then - * multiplying by each z-ratio in turn. - * - * Denoting the z-ratio as `rzr`, we observe that it is equal to `h` - * from the inside of the above `gej_add_ge_var` call. This satisfies - * - * rzr = d_x * z^2 - x * d_z^2 - * - * where (`d_x`, `d_z`) are Jacobian coordinates of `D` and `(x, z)` - * are Jacobian coordinates of our desired point -- except both are on - * the isomorphic curve that we were using when we called `gej_add_ge_var`. - * To get back to secp256k1, we must multiply both `z`s by `d_z`, or - * equivalently divide both `x`s by `d_z^2`. Our equation then becomes - * - * rzr = d_x * z^2 / d_z^2 - x - * - * (The left-hand-side, being a ratio of z-coordinates, is unaffected - * by the isomorphism.) - * - * Rearranging to solve for `x`, we have - * - * x = d_x * z^2 / d_z^2 - rzr - * - * But what we actually want is the affine coordinate `X = x/z^2`, - * which will satisfy - * - * X = d_x / d_z^2 - rzr / z^2 - * = dx_over_dz_squared - rzr * zi2 - */ - secp256k1_fe_mul(&p_ge.x, rzr, &zi2); - secp256k1_fe_negate(&p_ge.x, &p_ge.x, 1); - secp256k1_fe_add(&p_ge.x, &dx_over_dz_squared); - /* y is stored_y/z^3, as we expect */ - secp256k1_fe_mul(&p_ge.y, &p_ge.y, &zi3); - /* Store */ - secp256k1_ge_to_storage(&pre[i], &p_ge); +SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge(secp256k1_ge *r, const secp256k1_ge *pre, int n, int w) { + secp256k1_ecmult_table_verify(n,w); + if (n > 0) { + *r = pre[(n-1)/2]; + } else { + *r = pre[(-n-1)/2]; + secp256k1_fe_negate(&(r->y), &(r->y), 1); } } -/** The following two macro retrieves a particular odd multiple from a table - * of precomputed multiples. */ -#define ECMULT_TABLE_GET_GE(r,pre,n,w) do { \ - VERIFY_CHECK(((n) & 1) == 1); \ - VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ - VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ - if ((n) > 0) { \ - *(r) = (pre)[((n)-1)/2]; \ - } else { \ - *(r) = (pre)[(-(n)-1)/2]; \ - secp256k1_fe_negate(&((r)->y), &((r)->y), 1); \ - } \ -} while(0) - -#define ECMULT_TABLE_GET_GE_STORAGE(r,pre,n,w) do { \ - VERIFY_CHECK(((n) & 1) == 1); \ - VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ - VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ - if ((n) > 0) { \ - secp256k1_ge_from_storage((r), &(pre)[((n)-1)/2]); \ - } else { \ - secp256k1_ge_from_storage((r), &(pre)[(-(n)-1)/2]); \ - secp256k1_fe_negate(&((r)->y), &((r)->y), 1); \ - } \ -} while(0) - -static const size_t SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE = - ROUND_TO_ALIGN(sizeof((*((secp256k1_ecmult_context*) NULL)->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)) -#ifdef USE_ENDOMORPHISM - + ROUND_TO_ALIGN(sizeof((*((secp256k1_ecmult_context*) NULL)->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)) -#endif - ; - -static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx) { - ctx->pre_g = NULL; -#ifdef USE_ENDOMORPHISM - ctx->pre_g_128 = NULL; -#endif -} - -static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc) { - secp256k1_gej gj; - void* const base = *prealloc; - size_t const prealloc_size = SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; - - if (ctx->pre_g != NULL) { - return; - } - - /* get the generator */ - secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); - - { - size_t size = sizeof((*ctx->pre_g)[0]) * ((size_t)ECMULT_TABLE_SIZE(WINDOW_G)); - /* check for overflow */ - VERIFY_CHECK(size / sizeof((*ctx->pre_g)[0]) == ((size_t)ECMULT_TABLE_SIZE(WINDOW_G))); - ctx->pre_g = (secp256k1_ge_storage (*)[])manual_alloc(prealloc, sizeof((*ctx->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G), base, prealloc_size); - } - - /* precompute the tables with odd multiples */ - secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g, &gj); - -#ifdef USE_ENDOMORPHISM - { - secp256k1_gej g_128j; - int i; - - size_t size = sizeof((*ctx->pre_g_128)[0]) * ((size_t) ECMULT_TABLE_SIZE(WINDOW_G)); - /* check for overflow */ - VERIFY_CHECK(size / sizeof((*ctx->pre_g_128)[0]) == ((size_t)ECMULT_TABLE_SIZE(WINDOW_G))); - ctx->pre_g_128 = (secp256k1_ge_storage (*)[])manual_alloc(prealloc, sizeof((*ctx->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G), base, prealloc_size); - - /* calculate 2^128*generator */ - g_128j = gj; - for (i = 0; i < 128; i++) { - secp256k1_gej_double_var(&g_128j, &g_128j, NULL); - } - secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g_128, &g_128j); +SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_lambda(secp256k1_ge *r, const secp256k1_ge *pre, const secp256k1_fe *x, int n, int w) { + secp256k1_ecmult_table_verify(n,w); + if (n > 0) { + secp256k1_ge_set_xy(r, &x[(n-1)/2], &pre[(n-1)/2].y); + } else { + secp256k1_ge_set_xy(r, &x[(-n-1)/2], &pre[(-n-1)/2].y); + secp256k1_fe_negate(&(r->y), &(r->y), 1); } -#endif } -static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src) { - if (src->pre_g != NULL) { - /* We cast to void* first to suppress a -Wcast-align warning. */ - dst->pre_g = (secp256k1_ge_storage (*)[])(void*)((unsigned char*)dst + ((unsigned char*)(src->pre_g) - (unsigned char*)src)); - } -#ifdef USE_ENDOMORPHISM - if (src->pre_g_128 != NULL) { - dst->pre_g_128 = (secp256k1_ge_storage (*)[])(void*)((unsigned char*)dst + ((unsigned char*)(src->pre_g_128) - (unsigned char*)src)); +SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_storage(secp256k1_ge *r, const secp256k1_ge_storage *pre, int n, int w) { + secp256k1_ecmult_table_verify(n,w); + if (n > 0) { + secp256k1_ge_from_storage(r, &pre[(n-1)/2]); + } else { + secp256k1_ge_from_storage(r, &pre[(-n-1)/2]); + secp256k1_fe_negate(&(r->y), &(r->y), 1); } -#endif -} - -static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx) { - return ctx->pre_g != NULL; -} - -static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx) { - secp256k1_ecmult_context_init(ctx); } /** Convert a number to WNAF notation. The number becomes represented by sum(2^i * wnaf[i], i=0..bits), @@ -406,18 +171,21 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, VERIFY_CHECK(a != NULL); VERIFY_CHECK(2 <= w && w <= 31); - memset(wnaf, 0, len * sizeof(wnaf[0])); + for (bit = 0; bit < len; bit++) { + wnaf[bit] = 0; + } s = *a; - if (secp256k1_scalar_get_bits(&s, 255, 1)) { + if (secp256k1_scalar_get_bits_limb32(&s, 255, 1)) { secp256k1_scalar_negate(&s, &s); sign = -1; } + bit = 0; while (bit < len) { int now; int word; - if (secp256k1_scalar_get_bits(&s, bit, 1) == (unsigned int)carry) { + if (secp256k1_scalar_get_bits_limb32(&s, bit, 1) == (unsigned int)carry) { bit++; continue; } @@ -438,119 +206,98 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, bit += now; } #ifdef VERIFY - CHECK(carry == 0); - while (bit < 256) { - CHECK(secp256k1_scalar_get_bits(&s, bit++, 1) == 0); + { + int verify_bit = bit; + + VERIFY_CHECK(carry == 0); + + while (verify_bit < 256) { + VERIFY_CHECK(secp256k1_scalar_get_bits_limb32(&s, verify_bit, 1) == 0); + verify_bit++; + } } #endif return last_set_bit + 1; } struct secp256k1_strauss_point_state { -#ifdef USE_ENDOMORPHISM - secp256k1_scalar na_1, na_lam; - int wnaf_na_1[130]; - int wnaf_na_lam[130]; + int wnaf_na_1[129]; + int wnaf_na_lam[129]; int bits_na_1; int bits_na_lam; -#else - int wnaf_na[256]; - int bits_na; -#endif - size_t input_pos; }; struct secp256k1_strauss_state { - secp256k1_gej* prej; - secp256k1_fe* zr; + /* aux is used to hold z-ratios, and then used to hold pre_a[i].x * BETA values. */ + secp256k1_fe* aux; secp256k1_ge* pre_a; -#ifdef USE_ENDOMORPHISM - secp256k1_ge* pre_a_lam; -#endif struct secp256k1_strauss_point_state* ps; }; -static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, const struct secp256k1_strauss_state *state, secp256k1_gej *r, int num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { +static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state *state, secp256k1_gej *r, size_t num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { secp256k1_ge tmpa; secp256k1_fe Z; -#ifdef USE_ENDOMORPHISM - /* Splitted G factors. */ + /* Split G factors. */ secp256k1_scalar ng_1, ng_128; int wnaf_ng_1[129]; int bits_ng_1 = 0; int wnaf_ng_128[129]; int bits_ng_128 = 0; -#else - int wnaf_ng[256]; - int bits_ng = 0; -#endif int i; int bits = 0; - int np; - int no = 0; + size_t np; + size_t no = 0; + secp256k1_fe_set_int(&Z, 1); for (np = 0; np < num; ++np) { + secp256k1_gej tmp; + secp256k1_scalar na_1, na_lam; if (secp256k1_scalar_is_zero(&na[np]) || secp256k1_gej_is_infinity(&a[np])) { continue; } - state->ps[no].input_pos = np; -#ifdef USE_ENDOMORPHISM /* split na into na_1 and na_lam (where na = na_1 + na_lam*lambda, and na_1 and na_lam are ~128 bit) */ - secp256k1_scalar_split_lambda(&state->ps[no].na_1, &state->ps[no].na_lam, &na[np]); + secp256k1_scalar_split_lambda(&na_1, &na_lam, &na[np]); /* build wnaf representation for na_1 and na_lam. */ - state->ps[no].bits_na_1 = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_1, 130, &state->ps[no].na_1, WINDOW_A); - state->ps[no].bits_na_lam = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_lam, 130, &state->ps[no].na_lam, WINDOW_A); - VERIFY_CHECK(state->ps[no].bits_na_1 <= 130); - VERIFY_CHECK(state->ps[no].bits_na_lam <= 130); + state->ps[no].bits_na_1 = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_1, 129, &na_1, WINDOW_A); + state->ps[no].bits_na_lam = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_lam, 129, &na_lam, WINDOW_A); + VERIFY_CHECK(state->ps[no].bits_na_1 <= 129); + VERIFY_CHECK(state->ps[no].bits_na_lam <= 129); if (state->ps[no].bits_na_1 > bits) { bits = state->ps[no].bits_na_1; } if (state->ps[no].bits_na_lam > bits) { bits = state->ps[no].bits_na_lam; } -#else - /* build wnaf representation for na. */ - state->ps[no].bits_na = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na, 256, &na[np], WINDOW_A); - if (state->ps[no].bits_na > bits) { - bits = state->ps[no].bits_na; + + /* Calculate odd multiples of a. + * All multiples are brought to the same Z 'denominator', which is stored + * in Z. Due to secp256k1' isomorphism we can do all operations pretending + * that the Z coordinate was 1, use affine addition formulae, and correct + * the Z coordinate of the result once at the end. + * The exception is the precomputed G table points, which are actually + * affine. Compared to the base used for other points, they have a Z ratio + * of 1/Z, so we can use secp256k1_gej_add_zinv_var, which uses the same + * isomorphism to efficiently add with a known Z inverse. + */ + tmp = a[np]; + if (no) { + secp256k1_gej_rescale(&tmp, &Z); } -#endif + secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->pre_a + no * ECMULT_TABLE_SIZE(WINDOW_A), state->aux + no * ECMULT_TABLE_SIZE(WINDOW_A), &Z, &tmp); + if (no) secp256k1_fe_mul(state->aux + no * ECMULT_TABLE_SIZE(WINDOW_A), state->aux + no * ECMULT_TABLE_SIZE(WINDOW_A), &(a[np].z)); + ++no; } - /* Calculate odd multiples of a. - * All multiples are brought to the same Z 'denominator', which is stored - * in Z. Due to secp256k1' isomorphism we can do all operations pretending - * that the Z coordinate was 1, use affine addition formulae, and correct - * the Z coordinate of the result once at the end. - * The exception is the precomputed G table points, which are actually - * affine. Compared to the base used for other points, they have a Z ratio - * of 1/Z, so we can use secp256k1_gej_add_zinv_var, which uses the same - * isomorphism to efficiently add with a known Z inverse. - */ - if (no > 0) { - /* Compute the odd multiples in Jacobian form. */ - secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->prej, state->zr, &a[state->ps[0].input_pos]); - for (np = 1; np < no; ++np) { - secp256k1_gej tmp = a[state->ps[np].input_pos]; -#ifdef VERIFY - secp256k1_fe_normalize_var(&(state->prej[(np - 1) * ECMULT_TABLE_SIZE(WINDOW_A) + ECMULT_TABLE_SIZE(WINDOW_A) - 1].z)); -#endif - secp256k1_gej_rescale(&tmp, &(state->prej[(np - 1) * ECMULT_TABLE_SIZE(WINDOW_A) + ECMULT_TABLE_SIZE(WINDOW_A) - 1].z)); - secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->prej + np * ECMULT_TABLE_SIZE(WINDOW_A), state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), &tmp); - secp256k1_fe_mul(state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), &(a[state->ps[np].input_pos].z)); - } - /* Bring them to the same Z denominator. */ - secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A) * no, state->pre_a, &Z, state->prej, state->zr); - } else { - secp256k1_fe_set_int(&Z, 1); + /* Bring them to the same Z denominator. */ + if (no) { + secp256k1_ge_table_set_globalz(ECMULT_TABLE_SIZE(WINDOW_A) * no, state->pre_a, state->aux); } -#ifdef USE_ENDOMORPHISM for (np = 0; np < no; ++np) { for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { - secp256k1_ge_mul_lambda(&state->pre_a_lam[np * ECMULT_TABLE_SIZE(WINDOW_A) + i], &state->pre_a[np * ECMULT_TABLE_SIZE(WINDOW_A) + i]); + secp256k1_fe_mul(&state->aux[np * ECMULT_TABLE_SIZE(WINDOW_A) + i], &state->pre_a[np * ECMULT_TABLE_SIZE(WINDOW_A) + i].x, &secp256k1_const_beta); } } @@ -568,51 +315,30 @@ static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, c bits = bits_ng_128; } } -#else - if (ng) { - bits_ng = secp256k1_ecmult_wnaf(wnaf_ng, 256, ng, WINDOW_G); - if (bits_ng > bits) { - bits = bits_ng; - } - } -#endif secp256k1_gej_set_infinity(r); for (i = bits - 1; i >= 0; i--) { int n; secp256k1_gej_double_var(r, r, NULL); -#ifdef USE_ENDOMORPHISM for (np = 0; np < no; ++np) { if (i < state->ps[np].bits_na_1 && (n = state->ps[np].wnaf_na_1[i])) { - ECMULT_TABLE_GET_GE(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); + secp256k1_ecmult_table_get_ge(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); } if (i < state->ps[np].bits_na_lam && (n = state->ps[np].wnaf_na_lam[i])) { - ECMULT_TABLE_GET_GE(&tmpa, state->pre_a_lam + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); + secp256k1_ecmult_table_get_ge_lambda(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), state->aux + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); } } if (i < bits_ng_1 && (n = wnaf_ng_1[i])) { - ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G); + secp256k1_ecmult_table_get_ge_storage(&tmpa, secp256k1_pre_g, n, WINDOW_G); secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } if (i < bits_ng_128 && (n = wnaf_ng_128[i])) { - ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g_128, n, WINDOW_G); + secp256k1_ecmult_table_get_ge_storage(&tmpa, secp256k1_pre_g_128, n, WINDOW_G); secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } -#else - for (np = 0; np < no; ++np) { - if (i < state->ps[np].bits_na && (n = state->ps[np].wnaf_na[i])) { - ECMULT_TABLE_GET_GE(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); - secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); - } - } - if (i < bits_ng && (n = wnaf_ng[i])) { - ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G); - secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); - } -#endif } if (!r->infinity) { @@ -620,36 +346,24 @@ static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, c } } -static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { - secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)]; - secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)]; +static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { + secp256k1_fe aux[ECMULT_TABLE_SIZE(WINDOW_A)]; secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; struct secp256k1_strauss_point_state ps[1]; -#ifdef USE_ENDOMORPHISM - secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; -#endif struct secp256k1_strauss_state state; - state.prej = prej; - state.zr = zr; + state.aux = aux; state.pre_a = pre_a; -#ifdef USE_ENDOMORPHISM - state.pre_a_lam = pre_a_lam; -#endif state.ps = ps; - secp256k1_ecmult_strauss_wnaf(ctx, &state, r, 1, a, na, ng); + secp256k1_ecmult_strauss_wnaf(&state, r, 1, a, na, ng); } static size_t secp256k1_strauss_scratch_size(size_t n_points) { -#ifdef USE_ENDOMORPHISM - static const size_t point_size = (2 * sizeof(secp256k1_ge) + sizeof(secp256k1_gej) + sizeof(secp256k1_fe)) * ECMULT_TABLE_SIZE(WINDOW_A) + sizeof(struct secp256k1_strauss_point_state) + sizeof(secp256k1_gej) + sizeof(secp256k1_scalar); -#else - static const size_t point_size = (sizeof(secp256k1_ge) + sizeof(secp256k1_gej) + sizeof(secp256k1_fe)) * ECMULT_TABLE_SIZE(WINDOW_A) + sizeof(struct secp256k1_strauss_point_state) + sizeof(secp256k1_gej) + sizeof(secp256k1_scalar); -#endif + static const size_t point_size = (sizeof(secp256k1_ge) + sizeof(secp256k1_fe)) * ECMULT_TABLE_SIZE(WINDOW_A) + sizeof(struct secp256k1_strauss_point_state) + sizeof(secp256k1_gej) + sizeof(secp256k1_scalar); return n_points*point_size; } -static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { +static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { secp256k1_gej* points; secp256k1_scalar* scalars; struct secp256k1_strauss_state state; @@ -661,19 +375,16 @@ static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callba return 1; } + /* We allocate STRAUSS_SCRATCH_OBJECTS objects on the scratch space. If these + * allocations change, make sure to update the STRAUSS_SCRATCH_OBJECTS + * constant and strauss_scratch_size accordingly. */ points = (secp256k1_gej*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(secp256k1_gej)); scalars = (secp256k1_scalar*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(secp256k1_scalar)); - state.prej = (secp256k1_gej*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_gej)); - state.zr = (secp256k1_fe*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_fe)); -#ifdef USE_ENDOMORPHISM - state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * 2 * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge)); - state.pre_a_lam = state.pre_a + n_points * ECMULT_TABLE_SIZE(WINDOW_A); -#else + state.aux = (secp256k1_fe*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_fe)); state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge)); -#endif state.ps = (struct secp256k1_strauss_point_state*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(struct secp256k1_strauss_point_state)); - if (points == NULL || scalars == NULL || state.prej == NULL || state.zr == NULL || state.pre_a == NULL) { + if (points == NULL || scalars == NULL || state.aux == NULL || state.pre_a == NULL || state.ps == NULL) { secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); return 0; } @@ -686,14 +397,14 @@ static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callba } secp256k1_gej_set_ge(&points[i], &point); } - secp256k1_ecmult_strauss_wnaf(ctx, &state, r, n_points, points, scalars, inp_g_sc); + secp256k1_ecmult_strauss_wnaf(&state, r, n_points, points, scalars, inp_g_sc); secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); return 1; } /* Wrapper for secp256k1_ecmult_multi_func interface */ -static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { - return secp256k1_ecmult_strauss_batch(error_callback, actx, scratch, r, inp_g_sc, cb, cbdata, n, 0); +static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { + return secp256k1_ecmult_strauss_batch(error_callback, scratch, r, inp_g_sc, cb, cbdata, n, 0); } static size_t secp256k1_strauss_max_points(const secp256k1_callback* error_callback, secp256k1_scratch *scratch) { @@ -868,7 +579,6 @@ static int secp256k1_ecmult_pippenger_wnaf(secp256k1_gej *buckets, int bucket_wi * set of buckets) for a given number of points. */ static int secp256k1_pippenger_bucket_window(size_t n) { -#ifdef USE_ENDOMORPHISM if (n <= 1) { return 1; } else if (n <= 4) { @@ -892,33 +602,6 @@ static int secp256k1_pippenger_bucket_window(size_t n) { } else { return PIPPENGER_MAX_BUCKET_WINDOW; } -#else - if (n <= 1) { - return 1; - } else if (n <= 11) { - return 2; - } else if (n <= 45) { - return 3; - } else if (n <= 100) { - return 4; - } else if (n <= 275) { - return 5; - } else if (n <= 625) { - return 6; - } else if (n <= 1850) { - return 7; - } else if (n <= 3400) { - return 8; - } else if (n <= 9630) { - return 9; - } else if (n <= 17900) { - return 10; - } else if (n <= 32800) { - return 11; - } else { - return PIPPENGER_MAX_BUCKET_WINDOW; - } -#endif } /** @@ -926,7 +609,6 @@ static int secp256k1_pippenger_bucket_window(size_t n) { */ static size_t secp256k1_pippenger_bucket_window_inv(int bucket_window) { switch(bucket_window) { -#ifdef USE_ENDOMORPHISM case 1: return 1; case 2: return 4; case 3: return 20; @@ -939,26 +621,11 @@ static size_t secp256k1_pippenger_bucket_window_inv(int bucket_window) { case 10: return 7880; case 11: return 16050; case PIPPENGER_MAX_BUCKET_WINDOW: return SIZE_MAX; -#else - case 1: return 1; - case 2: return 11; - case 3: return 45; - case 4: return 100; - case 5: return 275; - case 6: return 625; - case 7: return 1850; - case 8: return 3400; - case 9: return 9630; - case 10: return 17900; - case 11: return 32800; - case PIPPENGER_MAX_BUCKET_WINDOW: return SIZE_MAX; -#endif } return 0; } -#ifdef USE_ENDOMORPHISM SECP256K1_INLINE static void secp256k1_ecmult_endo_split(secp256k1_scalar *s1, secp256k1_scalar *s2, secp256k1_ge *p1, secp256k1_ge *p2) { secp256k1_scalar tmp = *s1; secp256k1_scalar_split_lambda(s1, s2, &tmp); @@ -973,48 +640,41 @@ SECP256K1_INLINE static void secp256k1_ecmult_endo_split(secp256k1_scalar *s1, s secp256k1_ge_neg(p2, p2); } } -#endif /** * Returns the scratch size required for a given number of points (excluding * base point G) without considering alignment. */ static size_t secp256k1_pippenger_scratch_size(size_t n_points, int bucket_window) { -#ifdef USE_ENDOMORPHISM size_t entries = 2*n_points + 2; -#else - size_t entries = n_points + 1; -#endif size_t entry_size = sizeof(secp256k1_ge) + sizeof(secp256k1_scalar) + sizeof(struct secp256k1_pippenger_point_state) + (WNAF_SIZE(bucket_window+1)+1)*sizeof(int); return (sizeof(secp256k1_gej) << bucket_window) + sizeof(struct secp256k1_pippenger_state) + entries * entry_size; } -static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { +static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { const size_t scratch_checkpoint = secp256k1_scratch_checkpoint(error_callback, scratch); - /* Use 2(n+1) with the endomorphism, n+1 without, when calculating batch + /* Use 2(n+1) with the endomorphism, when calculating batch * sizes. The reason for +1 is that we add the G scalar to the list of * other scalars. */ -#ifdef USE_ENDOMORPHISM size_t entries = 2*n_points + 2; -#else - size_t entries = n_points + 1; -#endif secp256k1_ge *points; secp256k1_scalar *scalars; secp256k1_gej *buckets; struct secp256k1_pippenger_state *state_space; size_t idx = 0; size_t point_idx = 0; - int i, j; int bucket_window; - (void)ctx; secp256k1_gej_set_infinity(r); if (inp_g_sc == NULL && n_points == 0) { return 1; } - bucket_window = secp256k1_pippenger_bucket_window(n_points); + + /* We allocate PIPPENGER_SCRATCH_OBJECTS objects on the scratch space. If + * these allocations change, make sure to update the + * PIPPENGER_SCRATCH_OBJECTS constant and pippenger_scratch_size + * accordingly. */ points = (secp256k1_ge *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*points)); scalars = (secp256k1_scalar *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*scalars)); state_space = (struct secp256k1_pippenger_state *) secp256k1_scratch_alloc(error_callback, scratch, sizeof(*state_space)); @@ -1022,10 +682,9 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); return 0; } - state_space->ps = (struct secp256k1_pippenger_point_state *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*state_space->ps)); state_space->wnaf_na = (int *) secp256k1_scratch_alloc(error_callback, scratch, entries*(WNAF_SIZE(bucket_window+1)) * sizeof(int)); - buckets = (secp256k1_gej *) secp256k1_scratch_alloc(error_callback, scratch, (1<ps == NULL || state_space->wnaf_na == NULL || buckets == NULL) { secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); return 0; @@ -1035,10 +694,8 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call scalars[0] = *inp_g_sc; points[0] = secp256k1_ge_const_g; idx++; -#ifdef USE_ENDOMORPHISM secp256k1_ecmult_endo_split(&scalars[0], &scalars[1], &points[0], &points[1]); idx++; -#endif } while (point_idx < n_points) { @@ -1047,33 +704,19 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call return 0; } idx++; -#ifdef USE_ENDOMORPHISM secp256k1_ecmult_endo_split(&scalars[idx - 1], &scalars[idx], &points[idx - 1], &points[idx]); idx++; -#endif point_idx++; } secp256k1_ecmult_pippenger_wnaf(buckets, bucket_window, state_space, r, scalars, points, idx); - - /* Clear data */ - for(i = 0; (size_t)i < idx; i++) { - secp256k1_scalar_clear(&scalars[i]); - state_space->ps[i].skew_na = 0; - for(j = 0; j < WNAF_SIZE(bucket_window+1); j++) { - state_space->wnaf_na[i * WNAF_SIZE(bucket_window+1) + j] = 0; - } - } - for(i = 0; i < 1< max_alloc) { break; @@ -1119,16 +760,14 @@ static size_t secp256k1_pippenger_max_points(const secp256k1_callback* error_cal /* Computes ecmult_multi by simply multiplying and adding each point. Does not * require a scratch space */ -static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) { +static int secp256k1_ecmult_multi_simple_var(secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) { size_t point_idx; - secp256k1_scalar szero; secp256k1_gej tmpj; - secp256k1_scalar_set_int(&szero, 0); secp256k1_gej_set_infinity(r); secp256k1_gej_set_infinity(&tmpj); /* r = inp_g_sc*G */ - secp256k1_ecmult(ctx, r, &tmpj, &szero, inp_g_sc); + secp256k1_ecmult(r, &tmpj, &secp256k1_scalar_zero, inp_g_sc); for (point_idx = 0; point_idx < n_points; point_idx++) { secp256k1_ge point; secp256k1_gej pointj; @@ -1138,7 +777,7 @@ static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx } /* r += scalar*point */ secp256k1_gej_set_ge(&pointj, &point); - secp256k1_ecmult(ctx, &tmpj, &pointj, &scalar, NULL); + secp256k1_ecmult(&tmpj, &pointj, &scalar, NULL); secp256k1_gej_add_var(r, r, &tmpj, NULL); } return 1; @@ -1159,16 +798,16 @@ static int secp256k1_ecmult_multi_batch_size_helper(size_t *n_batches, size_t *n return 1; } /* Compute ceil(n/max_n_batch_points) and ceil(n/n_batches) */ - *n_batches = 1 + (n - 1) / max_n_batch_points; - *n_batch_points = 1 + (n - 1) / *n_batches; + *n_batches = CEIL_DIV(n, max_n_batch_points); + *n_batch_points = CEIL_DIV(n, *n_batches); return 1; } -typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t); -static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { +typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t); +static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { size_t i; - int (*f)(const secp256k1_callback* error_callback, const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t); + int (*f)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t); size_t n_batches; size_t n_batch_points; @@ -1176,13 +815,11 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, if (inp_g_sc == NULL && n == 0) { return 1; } else if (n == 0) { - secp256k1_scalar szero; - secp256k1_scalar_set_int(&szero, 0); - secp256k1_ecmult(ctx, r, r, &szero, inp_g_sc); + secp256k1_ecmult(r, r, &secp256k1_scalar_zero, inp_g_sc); return 1; } if (scratch == NULL) { - return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n); + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); } /* Compute the batch sizes for Pippenger's algorithm given a scratch space. If it's greater than @@ -1190,13 +827,13 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, * As a first step check if there's enough space for Pippenger's algo (which requires less space * than Strauss' algo) and if not, use the simple algorithm. */ if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_pippenger_max_points(error_callback, scratch), n)) { - return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n); + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); } if (n_batch_points >= ECMULT_PIPPENGER_THRESHOLD) { f = secp256k1_ecmult_pippenger_batch; } else { if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_strauss_max_points(error_callback, scratch), n)) { - return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n); + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); } f = secp256k1_ecmult_strauss_batch; } @@ -1204,7 +841,7 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, size_t nbp = n < n_batch_points ? n : n_batch_points; size_t offset = n_batch_points*i; secp256k1_gej tmp; - if (!f(error_callback, ctx, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) { + if (!f(error_callback, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) { return 0; } secp256k1_gej_add_var(r, r, &tmp, NULL); diff --git a/src/secp256k1/src/ecmult_static_context.h b/src/secp256k1/src/ecmult_static_context.h deleted file mode 100644 index 8bb4e76f..00000000 --- a/src/secp256k1/src/ecmult_static_context.h +++ /dev/null @@ -1,1163 +0,0 @@ -#ifndef _SECP256K1_ECMULT_STATIC_CONTEXT_ -#define _SECP256K1_ECMULT_STATIC_CONTEXT_ -#include "src/group.h" -#define SC SECP256K1_GE_STORAGE_CONST -#if ECMULT_GEN_PREC_N != 64 || ECMULT_GEN_PREC_G != 16 - #error configuration mismatch, invalid ECMULT_GEN_PREC_N, ECMULT_GEN_PREC_G. Try deleting ecmult_static_context.h before the build. -#endif -static const secp256k1_ge_storage secp256k1_ecmult_static_context[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G] = { -{ - SC(983487347u, 1861041900u, 2599115456u, 565528146u, 1451326239u, 148794576u, 4224640328u, 3120843701u, 2076989736u, 3184115747u, 3754320824u, 2656004457u, 2876577688u, 2388659905u, 3527541004u, 1170708298u), - SC(3830281845u, 3284871255u, 1309883393u, 2806991612u, 1558611192u, 1249416977u, 1614773327u, 1353445208u, 633124399u, 4264439010u, 426432620u, 167800352u, 2355417627u, 2991792291u, 3042397084u, 505150283u), - SC(1792710820u, 2165839471u, 3876070801u, 3603801374u, 2437636273u, 1231643248u, 860890267u, 4002236272u, 3258245037u, 4085545079u, 2695347418u, 288209541u, 484302592u, 139267079u, 14621978u, 2750167787u), - SC(11094760u, 1663454715u, 3104893589u, 1290390142u, 1334245677u, 2671416785u, 3982578986u, 2050971459u, 2136209393u, 1792200847u, 367473428u, 114820199u, 1096121039u, 425028623u, 3983611854u, 923011107u), - SC(3063072592u, 3527226996u, 3276923831u, 3785926779u, 346414977u, 2234429237u, 547163845u, 1847763663u, 2978762519u, 623753375u, 2207114031u, 3006533282u, 3147176505u, 1421052999u, 4188545436u, 1210097867u), - SC(1763690305u, 2162645845u, 1202943473u, 469109438u, 1159538654u, 390308918u, 1603161004u, 2906790921u, 2394291613u, 4089459264u, 1827402608u, 2166723935u, 3207526147u, 1197293526u, 436375990u, 1773481373u), - SC(1882939156u, 2815960179u, 295089455u, 2929502411u, 2990911492u, 2056857815u, 3502518067u, 957616604u, 1591168682u, 1240626880u, 1298264859u, 1839469436u, 3185927997u, 2386526557u, 4025121105u, 260593756u), - SC(699984967u, 3527536033u, 3843799838u, 958940236u, 927446270u, 2095887205u, 733758855u, 793790581u, 2288595512u, 2237855935u, 4158071588u, 103726164u, 1804839263u, 2006149890u, 3944535719u, 3558448075u), - SC(1145702317u, 3893958345u, 851308226u, 566580932u, 1803510929u, 244954233u, 754894895u, 1321302288u, 772295727u, 4004336128u, 2009158070u, 4026087258u, 1899732245u, 1392930957u, 3019192545u, 149625039u), - SC(3772604811u, 577564124u, 4116730494u, 548732504u, 241159976u, 965811878u, 3286803623u, 3781136673u, 2690883927u, 863484863u, 463101630u, 2948469162u, 1712070245u, 3742601912u, 2535479384u, 1015456764u), - SC(2610513434u, 780361970u, 4072278968u, 3165566617u, 362677842u, 1775830058u, 4195110448u, 2813784845u, 1072168452u, 1018450691u, 1028609376u, 2101464438u, 2419500187u, 2190549840u, 1837865365u, 625038589u), - SC(1347265449u, 3654928411u, 3255194520u, 1322421425u, 3049188507u, 1827004342u, 3467202132u, 4261348427u, 3419671838u, 2239837129u, 3441474020u, 268041876u, 4157379961u, 971431753u, 2053887746u, 2038404815u), - SC(3723233964u, 515696298u, 2908946645u, 1626400003u, 2191461318u, 1201029625u, 186243574u, 1212380923u, 858781105u, 4236445790u, 1936144063u, 1009147468u, 2407567966u, 1865959325u, 1701035060u, 241151649u), - SC(3696430315u, 3089900654u, 1103438577u, 3528924465u, 1259662835u, 2438429227u, 1692672370u, 2989843137u, 1446894995u, 2239587625u, 2340544036u, 434491102u, 128239031u, 2734594294u, 2667284742u, 1865591178u), - SC(1980028431u, 1099813170u, 2013628738u, 4214038867u, 3231891435u, 3896266769u, 2756820145u, 1490749299u, 951981230u, 3655451652u, 1676645053u, 3593230746u, 3010864552u, 405419875u, 1336073872u, 1398624425u), - SC(3414779716u, 2008156201u, 4125277506u, 2287126283u, 2446053551u, 212726297u, 2794923956u, 3421277562u, 1460719994u, 552209919u, 2551004934u, 953727248u, 3096710400u, 3712627263u, 3614955842u, 557715603u) -}, -{ - SC(461660907u, 483260338u, 3090624303u, 3468817529u, 2869411999u, 3408320195u, 157674611u, 1298485121u, 103769941u, 3030878493u, 1440637991u, 4223892787u, 3840844824u, 2730509202u, 2748389383u, 214732837u), - SC(4143598594u, 459898515u, 2922648667u, 1209678535u, 1176716252u, 1612841999u, 2202917330u, 13015901u, 1575346251u, 891263272u, 3091905261u, 3543244385u, 3935435865u, 2372913859u, 1075649255u, 201888830u), - SC(3481295448u, 3640243220u, 2859715852u, 3846556079u, 1065182531u, 2330293896u, 2178091110u, 3893510868u, 4099261975u, 2577582684u, 4207143791u, 589834100u, 2090766670u, 4242818989u, 2413240316u, 1338191979u), - SC(1222367653u, 2295459885u, 1856816550u, 918616911u, 3733449540u, 288527426u, 308654335u, 175301747u, 2585816357u, 1572985110u, 3820086017u, 3400646033u, 3928615806u, 2543586180u, 1619974000u, 1257448912u), - SC(3467862907u, 681146163u, 2909728989u, 83906098u, 2626131995u, 3872919971u, 2290108548u, 1697087700u, 1793941143u, 3236443826u, 1940064764u, 1563989881u, 527371209u, 610869743u, 1604941439u, 3670721525u), - SC(2302729378u, 1391194029u, 1641771531u, 3876177737u, 1929557473u, 2752989331u, 2519109900u, 1131448856u, 3786463166u, 506905989u, 2345013855u, 2144715811u, 1583628159u, 291930150u, 3243470493u, 4130365181u), - SC(2855519179u, 3147287790u, 1536116015u, 1784764672u, 959281397u, 3099717666u, 86403980u, 3409201632u, 3921301684u, 2101228153u, 575924517u, 1382150904u, 641478876u, 3860064926u, 1937521554u, 2358132463u), - SC(972265053u, 3025511526u, 2467192450u, 4011934802u, 4015820825u, 3179306985u, 1744647725u, 423238442u, 2406064939u, 901607195u, 3316491016u, 4128592049u, 1397491632u, 439641584u, 90500461u, 2834580417u), - SC(1730532518u, 2821193463u, 2700804628u, 2416923244u, 3795632308u, 2799866320u, 3434703577u, 3883111373u, 1777933228u, 2963254493u, 3042948878u, 1746288680u, 2832145340u, 544625602u, 3633879343u, 2300858165u), - SC(62331695u, 2228442612u, 3527845246u, 2989876118u, 3995298903u, 3601545798u, 4170931516u, 445717530u, 1981201926u, 94264130u, 2668647577u, 953251412u, 3322279962u, 3837653687u, 3116466555u, 3369796531u), - SC(2739333573u, 3637259489u, 443756582u, 825678124u, 2455706402u, 2994548791u, 3653546249u, 2584145078u, 1245698352u, 89066746u, 1738138166u, 2916153640u, 1850062717u, 3472193431u, 2110631011u, 1214009088u), - SC(2386327178u, 3993497770u, 1051345891u, 4137183237u, 3078790224u, 3598213568u, 3344610192u, 1517270932u, 869515922u, 2057215060u, 2792454282u, 4228826509u, 3425305972u, 2708629086u, 880185559u, 1356729037u), - SC(2989561710u, 3550122639u, 1990591383u, 2036612756u, 3588709655u, 595888062u, 4189293408u, 1955008963u, 987876526u, 542093629u, 1953520395u, 2315684331u, 2929815182u, 3270759899u, 393611756u, 1677885197u), - SC(2331762734u, 371120497u, 1141333410u, 3466824114u, 4113916626u, 3698793791u, 2483365276u, 4265751258u, 3804325409u, 4085909553u, 3531838853u, 2629626707u, 625187055u, 3045263564u, 198131065u, 3993694760u), - SC(27419592u, 3267954699u, 2966738458u, 3143461717u, 3869766944u, 2163162934u, 1886283869u, 2052225367u, 958768216u, 2006727717u, 2069130137u, 1939449196u, 3015752138u, 258766841u, 3290132621u, 4163970366u), - SC(903383785u, 2983456345u, 4269392462u, 3731664159u, 1837248343u, 1888413004u, 652691803u, 897487558u, 3732206419u, 3625013640u, 1917594162u, 967935585u, 1804564817u, 883883125u, 2389854768u, 2347234078u) -}, -{ - SC(1793692126u, 406948681u, 23075151u, 2805328754u, 3264854407u, 427926777u, 2859563730u, 198037267u, 2129133850u, 1089701106u, 3842694445u, 2533380467u, 663211132u, 2312829798u, 807127373u, 38506815u), - SC(571890638u, 3882751380u, 1536180709u, 3437159763u, 3953528399u, 516828575u, 3769463872u, 1449076325u, 4270798907u, 3135758980u, 3520630973u, 1452980147u, 3957715387u, 3054428574u, 2391664223u, 2297670550u), - 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SC(1164630680u, 735028522u, 1426163473u, 1764145219u, 2188722839u, 2599797011u, 2331123230u, 996298865u, 2803113036u, 1732133918u, 4135374745u, 1403496102u, 61305906u, 1982207767u, 35608603u, 680731708u), - SC(3097030574u, 2239944926u, 3004506636u, 3698971324u, 438440050u, 806226289u, 3299217652u, 2137747676u, 2376642592u, 2372355096u, 1444993877u, 4198291752u, 3194432604u, 579432496u, 3143260503u, 58153128u), - SC(3073570790u, 2457870973u, 3254087300u, 132589961u, 3090464363u, 4031655485u, 3397735349u, 3738272915u, 2438408586u, 1610016484u, 3607490511u, 1979839295u, 1993157220u, 1628966973u, 2566520843u, 2415504793u), - SC(2516700697u, 2521039798u, 2777488721u, 3196543385u, 3593950703u, 2445108602u, 4227515375u, 3361503440u, 3741757104u, 1367007706u, 4282009789u, 2127358709u, 2970274265u, 108953332u, 1376097231u, 3612352600u), - SC(2841122028u, 289695603u, 908429972u, 1449591303u, 3496532142u, 430811028u, 1377898285u, 198605765u, 702014643u, 1582973696u, 1654127041u, 4145703462u, 294032334u, 4235431914u, 3438393459u, 865474483u), - 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SC(3117811324u, 4230396490u, 526101390u, 3589443580u, 12282838u, 3055128772u, 453582536u, 750425919u, 87216299u, 1999749165u, 2446098001u, 1907762611u, 183870981u, 3643605669u, 4232900175u, 2946539195u), - SC(3903405291u, 1034986659u, 2587588236u, 1880077572u, 1696686560u, 1243434386u, 3746745675u, 2212912696u, 2031851135u, 575946730u, 2663616094u, 2706019532u, 2635197066u, 1942621203u, 3760379195u, 4173271368u), - SC(2892050679u, 1105289247u, 1519565685u, 2426902952u, 65580444u, 3373395323u, 2112756687u, 3658806066u, 2548718870u, 3586646888u, 3350821933u, 1921239811u, 4061525916u, 3520594550u, 1872307168u, 3464547908u), - SC(2889143489u, 489507550u, 788811400u, 1800916293u, 3249681744u, 1400920516u, 3917828215u, 1093821500u, 1905385813u, 2931012984u, 1800788801u, 1697549042u, 3133274419u, 3606456099u, 2156683634u, 3205410986u), - SC(2814687995u, 4053305746u, 484530004u, 410862009u, 246830045u, 3164065541u, 3723774424u, 3388961612u, 3438413619u, 3662326637u, 2178649434u, 3555798301u, 164350275u, 2341607004u, 3896269562u, 1591806179u), - 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SC(4098631786u, 3088674341u, 2277647863u, 546429701u, 239595915u, 96051385u, 2043858235u, 356783975u, 3081379864u, 1495630942u, 1713035648u, 2797737429u, 4252005067u, 1174473008u, 182861961u, 1284115192u), - SC(1497340893u, 2990980382u, 435071738u, 25048206u, 1369038540u, 2388914024u, 3985375113u, 3187649864u, 1375850783u, 2762762203u, 3714513839u, 1546363407u, 2343675571u, 416152492u, 1797618344u, 3540898582u), - SC(2184924310u, 2347360549u, 640504537u, 1253044800u, 1440674061u, 1666425671u, 3827600864u, 2022304946u, 2918906490u, 263308814u, 3892002350u, 1942380643u, 1520343008u, 1245225248u, 3081248535u, 2098883649u), - SC(2377054091u, 3295547231u, 2240796492u, 1757295037u, 62158041u, 1809272299u, 4005194159u, 1592984938u, 366675588u, 3144502911u, 2973082795u, 4105706826u, 2851896979u, 3262002710u, 3082369242u, 634669574u), - SC(729159370u, 3948971047u, 1511320403u, 3061460707u, 3090283349u, 1868816562u, 3759558902u, 3868199437u, 2438888892u, 1660478281u, 2415784493u, 3546303863u, 3144683831u, 3066258755u, 2228021651u, 3294706852u) -} -}; -#undef SC -#endif diff --git a/src/secp256k1/src/field.h b/src/secp256k1/src/field.h index 8283e4b1..1f6ba746 100644 --- a/src/secp256k1/src/field.h +++ b/src/secp256k1/src/field.h @@ -1,134 +1,350 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_H #define SECP256K1_FIELD_H -/** Field element module. - * - * Field elements can be represented in several ways, but code accessing - * it (and implementations) need to take certain properties into account: - * - Each field element can be normalized or not. - * - Each field element has a magnitude, which represents how far away - * its representation is away from normalization. Normalized elements - * always have a magnitude of 1, but a magnitude of 1 doesn't imply - * normality. - */ +#include "util.h" -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" +/* This file defines the generic interface for working with secp256k1_fe + * objects, which represent field elements (integers modulo 2^256 - 2^32 - 977). + * + * The actual definition of the secp256k1_fe type depends on the chosen field + * implementation; see the field_5x52.h and field_10x26.h files for details. + * + * All secp256k1_fe objects have implicit properties that determine what + * operations are permitted on it. These are purely a function of what + * secp256k1_fe_ operations are applied on it, generally (implicitly) fixed at + * compile time, and do not depend on the chosen field implementation. Despite + * that, what these properties actually entail for the field representation + * values depends on the chosen field implementation. These properties are: + * - magnitude: an integer in [0,32] + * - normalized: 0 or 1; normalized=1 implies magnitude <= 1. + * + * In VERIFY mode, they are materialized explicitly as fields in the struct, + * allowing run-time verification of these properties. In that case, the field + * implementation also provides a secp256k1_fe_verify routine to verify that + * these fields match the run-time value and perform internal consistency + * checks. */ +#ifdef VERIFY +# define SECP256K1_FE_VERIFY_FIELDS \ + int magnitude; \ + int normalized; +#else +# define SECP256K1_FE_VERIFY_FIELDS #endif -#if defined(USE_FIELD_10X26) -#include "field_10x26.h" -#elif defined(USE_FIELD_5X52) +#if defined(SECP256K1_WIDEMUL_INT128) #include "field_5x52.h" +#elif defined(SECP256K1_WIDEMUL_INT64) +#include "field_10x26.h" #else -#error "Please select field implementation" +#error "Please select wide multiplication implementation" #endif -#include "util.h" +#ifdef VERIFY +/* Magnitude and normalized value for constants. */ +#define SECP256K1_FE_VERIFY_CONST(d7, d6, d5, d4, d3, d2, d1, d0) \ + /* Magnitude is 0 for constant 0; 1 otherwise. */ \ + , (((d7) | (d6) | (d5) | (d4) | (d3) | (d2) | (d1) | (d0)) != 0) \ + /* Normalized is 1 unless sum(d_i<<(32*i) for i=0..7) exceeds field modulus. */ \ + , (!(((d7) & (d6) & (d5) & (d4) & (d3) & (d2)) == 0xfffffffful && ((d1) == 0xfffffffful || ((d1) == 0xfffffffe && (d0 >= 0xfffffc2f))))) +#else +#define SECP256K1_FE_VERIFY_CONST(d7, d6, d5, d4, d3, d2, d1, d0) +#endif -/** Normalize a field element. This brings the field element to a canonical representation, reduces - * its magnitude to 1, and reduces it modulo field size `p`. +/** This expands to an initializer for a secp256k1_fe valued sum((i*32) * d_i, i=0..7) mod p. + * + * It has magnitude 1, unless d_i are all 0, in which case the magnitude is 0. + * It is normalized, unless sum(2^(i*32) * d_i, i=0..7) >= p. + * + * SECP256K1_FE_CONST_INNER is provided by the implementation. + */ +#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)) SECP256K1_FE_VERIFY_CONST((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)) } + +static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); +static const secp256k1_fe secp256k1_const_beta = SECP256K1_FE_CONST( + 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul, + 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul +); + +#ifndef VERIFY +/* In non-VERIFY mode, we #define the fe operations to be identical to their + * internal field implementation, to avoid the potential overhead of a + * function call (even though presumably inlinable). */ +# define secp256k1_fe_normalize secp256k1_fe_impl_normalize +# define secp256k1_fe_normalize_weak secp256k1_fe_impl_normalize_weak +# define secp256k1_fe_normalize_var secp256k1_fe_impl_normalize_var +# define secp256k1_fe_normalizes_to_zero secp256k1_fe_impl_normalizes_to_zero +# define secp256k1_fe_normalizes_to_zero_var secp256k1_fe_impl_normalizes_to_zero_var +# define secp256k1_fe_set_int secp256k1_fe_impl_set_int +# define secp256k1_fe_is_zero secp256k1_fe_impl_is_zero +# define secp256k1_fe_is_odd secp256k1_fe_impl_is_odd +# define secp256k1_fe_cmp_var secp256k1_fe_impl_cmp_var +# define secp256k1_fe_set_b32_mod secp256k1_fe_impl_set_b32_mod +# define secp256k1_fe_set_b32_limit secp256k1_fe_impl_set_b32_limit +# define secp256k1_fe_get_b32 secp256k1_fe_impl_get_b32 +# define secp256k1_fe_negate_unchecked secp256k1_fe_impl_negate_unchecked +# define secp256k1_fe_mul_int_unchecked secp256k1_fe_impl_mul_int_unchecked +# define secp256k1_fe_add secp256k1_fe_impl_add +# define secp256k1_fe_mul secp256k1_fe_impl_mul +# define secp256k1_fe_sqr secp256k1_fe_impl_sqr +# define secp256k1_fe_cmov secp256k1_fe_impl_cmov +# define secp256k1_fe_to_storage secp256k1_fe_impl_to_storage +# define secp256k1_fe_from_storage secp256k1_fe_impl_from_storage +# define secp256k1_fe_inv secp256k1_fe_impl_inv +# define secp256k1_fe_inv_var secp256k1_fe_impl_inv_var +# define secp256k1_fe_get_bounds secp256k1_fe_impl_get_bounds +# define secp256k1_fe_half secp256k1_fe_impl_half +# define secp256k1_fe_add_int secp256k1_fe_impl_add_int +# define secp256k1_fe_is_square_var secp256k1_fe_impl_is_square_var +#endif /* !defined(VERIFY) */ + +/** Normalize a field element. + * + * On input, r must be a valid field element. + * On output, r represents the same value but has normalized=1 and magnitude=1. */ static void secp256k1_fe_normalize(secp256k1_fe *r); -/** Weakly normalize a field element: reduce its magnitude to 1, but don't fully normalize. */ +/** Give a field element magnitude 1. + * + * On input, r must be a valid field element. + * On output, r represents the same value but has magnitude=1. Normalized is unchanged. + */ static void secp256k1_fe_normalize_weak(secp256k1_fe *r); -/** Normalize a field element, without constant-time guarantee. */ +/** Normalize a field element, without constant-time guarantee. + * + * Identical in behavior to secp256k1_fe_normalize, but not constant time in r. + */ static void secp256k1_fe_normalize_var(secp256k1_fe *r); -/** Verify whether a field element represents zero i.e. would normalize to a zero value. The field - * implementation may optionally normalize the input, but this should not be relied upon. */ -static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r); +/** Determine whether r represents field element 0. + * + * On input, r must be a valid field element. + * Returns whether r = 0 (mod p). + */ +static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r); -/** Verify whether a field element represents zero i.e. would normalize to a zero value. The field - * implementation may optionally normalize the input, but this should not be relied upon. */ -static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r); +/** Determine whether r represents field element 0, without constant-time guarantee. + * + * Identical in behavior to secp256k1_normalizes_to_zero, but not constant time in r. + */ +static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r); -/** Set a field element equal to a small integer. Resulting field element is normalized. */ +/** Set a field element to an integer in range [0,0x7FFF]. + * + * On input, r does not need to be initialized, a must be in [0,0x7FFF]. + * On output, r represents value a, is normalized and has magnitude (a!=0). + */ static void secp256k1_fe_set_int(secp256k1_fe *r, int a); -/** Sets a field element equal to zero, initializing all fields. */ +/** Clear a field element to prevent leaking sensitive information. */ static void secp256k1_fe_clear(secp256k1_fe *a); -/** Verify whether a field element is zero. Requires the input to be normalized. */ +/** Determine whether a represents field element 0. + * + * On input, a must be a valid normalized field element. + * Returns whether a = 0 (mod p). + * + * This behaves identical to secp256k1_normalizes_to_zero{,_var}, but requires + * normalized input (and is much faster). + */ static int secp256k1_fe_is_zero(const secp256k1_fe *a); -/** Check the "oddness" of a field element. Requires the input to be normalized. */ +/** Determine whether a (mod p) is odd. + * + * On input, a must be a valid normalized field element. + * Returns (int(a) mod p) & 1. + */ static int secp256k1_fe_is_odd(const secp256k1_fe *a); -/** Compare two field elements. Requires magnitude-1 inputs. */ +/** Determine whether two field elements are equal. + * + * On input, a and b must be valid field elements with magnitudes not exceeding + * 1 and 31, respectively. + * Returns a = b (mod p). + */ static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b); -/** Same as secp256k1_fe_equal, but may be variable time. */ -static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b); - -/** Compare two field elements. Requires both inputs to be normalized */ +/** Compare the values represented by 2 field elements, without constant-time guarantee. + * + * On input, a and b must be valid normalized field elements. + * Returns 1 if a > b, -1 if a < b, and 0 if a = b (comparisons are done as integers + * in range 0..p-1). + */ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b); -/** Set a field element equal to 32-byte big endian value. If successful, the resulting field element is normalized. */ -static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a); +/** Set a field element equal to the element represented by a provided 32-byte big endian value + * interpreted modulo p. + * + * On input, r does not need to be initialized. a must be a pointer to an initialized 32-byte array. + * On output, r = a (mod p). It will have magnitude 1, and not be normalized. + */ +static void secp256k1_fe_set_b32_mod(secp256k1_fe *r, const unsigned char *a); + +/** Set a field element equal to a provided 32-byte big endian value, checking for overflow. + * + * On input, r does not need to be initialized. a must be a pointer to an initialized 32-byte array. + * On output, r = a if (a < p), it will be normalized with magnitude 1, and 1 is returned. + * If a >= p, 0 is returned, and r will be made invalid (and must not be used without overwriting). + */ +static int secp256k1_fe_set_b32_limit(secp256k1_fe *r, const unsigned char *a); -/** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ +/** Convert a field element to 32-byte big endian byte array. + * On input, a must be a valid normalized field element, and r a pointer to a 32-byte array. + * On output, r = a (mod p). + */ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a); -/** Set a field element equal to the additive inverse of another. Takes a maximum magnitude of the input - * as an argument. The magnitude of the output is one higher. */ -static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m); +/** Negate a field element. + * + * On input, r does not need to be initialized. a must be a valid field element with + * magnitude not exceeding m. m must be an integer constant expression in [0,31]. + * Performs {r = -a}. + * On output, r will not be normalized, and will have magnitude m+1. + */ +#define secp256k1_fe_negate(r, a, m) ASSERT_INT_CONST_AND_DO(m, secp256k1_fe_negate_unchecked(r, a, m)) -/** Multiplies the passed field element with a small integer constant. Multiplies the magnitude by that - * small integer. */ -static void secp256k1_fe_mul_int(secp256k1_fe *r, int a); +/** Like secp256k1_fe_negate_unchecked but m is not checked to be an integer constant expression. + * + * Should not be called directly outside of tests. + */ +static void secp256k1_fe_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m); -/** Adds a field element to another. The result has the sum of the inputs' magnitudes as magnitude. */ +/** Add a small integer to a field element. + * + * Performs {r += a}. The magnitude of r increases by 1, and normalized is cleared. + * a must be in range [0,0x7FFF]. + */ +static void secp256k1_fe_add_int(secp256k1_fe *r, int a); + +/** Multiply a field element with a small integer. + * + * On input, r must be a valid field element. a must be an integer constant expression in [0,32]. + * The magnitude of r times a must not exceed 32. + * Performs {r *= a}. + * On output, r's magnitude is multiplied by a, and r will not be normalized. + */ +#define secp256k1_fe_mul_int(r, a) ASSERT_INT_CONST_AND_DO(a, secp256k1_fe_mul_int_unchecked(r, a)) + +/** Like secp256k1_fe_mul_int but a is not checked to be an integer constant expression. + * + * Should not be called directly outside of tests. + */ +static void secp256k1_fe_mul_int_unchecked(secp256k1_fe *r, int a); + +/** Increment a field element by another. + * + * On input, r and a must be valid field elements, not necessarily normalized. + * The sum of their magnitudes must not exceed 32. + * Performs {r += a}. + * On output, r will not be normalized, and will have magnitude incremented by a's. + */ static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a); -/** Sets a field element to be the product of two others. Requires the inputs' magnitudes to be at most 8. - * The output magnitude is 1 (but not guaranteed to be normalized). */ +/** Multiply two field elements. + * + * On input, a and b must be valid field elements; r does not need to be initialized. + * r and a may point to the same object, but neither may point to the object pointed + * to by b. The magnitudes of a and b must not exceed 8. + * Performs {r = a * b} + * On output, r will have magnitude 1, but won't be normalized. + */ static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b); -/** Sets a field element to be the square of another. Requires the input's magnitude to be at most 8. - * The output magnitude is 1 (but not guaranteed to be normalized). */ +/** Square a field element. + * + * On input, a must be a valid field element; r does not need to be initialized. The magnitude + * of a must not exceed 8. + * Performs {r = a**2} + * On output, r will have magnitude 1, but won't be normalized. + */ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a); -/** If a has a square root, it is computed in r and 1 is returned. If a does not - * have a square root, the root of its negation is computed and 0 is returned. - * The input's magnitude can be at most 8. The output magnitude is 1 (but not - * guaranteed to be normalized). The result in r will always be a square - * itself. */ -static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a); - -/** Checks whether a field element is a quadratic residue. */ -static int secp256k1_fe_is_quad_var(const secp256k1_fe *a); +/** Compute a square root of a field element. + * + * On input, a must be a valid field element with magnitude<=8; r need not be initialized. + * If sqrt(a) exists, performs {r = sqrt(a)} and returns 1. + * Otherwise, sqrt(-a) exists. The function performs {r = sqrt(-a)} and returns 0. + * The resulting value represented by r will be a square itself. + * Variables r and a must not point to the same object. + * On output, r will have magnitude 1 but will not be normalized. + */ +static int secp256k1_fe_sqrt(secp256k1_fe * SECP256K1_RESTRICT r, const secp256k1_fe * SECP256K1_RESTRICT a); -/** Sets a field element to be the (modular) inverse of another. Requires the input's magnitude to be - * at most 8. The output magnitude is 1 (but not guaranteed to be normalized). */ +/** Compute the modular inverse of a field element. + * + * On input, a must be a valid field element; r need not be initialized. + * Performs {r = a**(p-2)} (which maps 0 to 0, and every other element to its + * inverse). + * On output, r will have magnitude (a.magnitude != 0) and be normalized. + */ static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a); -/** Potentially faster version of secp256k1_fe_inv, without constant-time guarantee. */ +/** Compute the modular inverse of a field element, without constant-time guarantee. + * + * Behaves identically to secp256k1_fe_inv, but is not constant-time in a. + */ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a); -/** Calculate the (modular) inverses of a batch of field elements. Requires the inputs' magnitudes to be - * at most 8. The output magnitudes are 1 (but not guaranteed to be normalized). The inputs and - * outputs must not overlap in memory. */ -static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len); - -/** Convert a field element to the storage type. */ +/** Convert a field element to secp256k1_fe_storage. + * + * On input, a must be a valid normalized field element. + * Performs {r = a}. + */ static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); -/** Convert a field element back from the storage type. */ +/** Convert a field element back from secp256k1_fe_storage. + * + * On input, r need not be initialized. + * Performs {r = a}. + * On output, r will be normalized and will have magnitude 1. + */ static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a); -/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */ +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ static void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag); -/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */ +/** Conditionally move a field element in constant time. + * + * On input, both r and a must be valid field elements. Flag must be 0 or 1. + * Performs {r = flag ? a : r}. + * + * On output, r's magnitude will be the maximum of both input magnitudes. + * It will be normalized if and only if both inputs were normalized. + */ static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag); +/** Halve the value of a field element modulo the field prime in constant-time. + * + * On input, r must be a valid field element. + * On output, r will be normalized and have magnitude floor(m/2) + 1 where m is + * the magnitude of r on input. + */ +static void secp256k1_fe_half(secp256k1_fe *r); + +/** Sets r to a field element with magnitude m, normalized if (and only if) m==0. + * The value is chosen so that it is likely to trigger edge cases related to + * internal overflows. */ +static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m); + +/** Determine whether a is a square (modulo p). + * + * On input, a must be a valid field element. + */ +static int secp256k1_fe_is_square_var(const secp256k1_fe *a); + +/** Check invariants on a field element (no-op unless VERIFY is enabled). */ +static void secp256k1_fe_verify(const secp256k1_fe *a); +#define SECP256K1_FE_VERIFY(a) secp256k1_fe_verify(a) + +/** Check that magnitude of a is at most m (no-op unless VERIFY is enabled). */ +static void secp256k1_fe_verify_magnitude(const secp256k1_fe *a, int m); +#define SECP256K1_FE_VERIFY_MAGNITUDE(a, m) secp256k1_fe_verify_magnitude(a, m) + #endif /* SECP256K1_FIELD_H */ diff --git a/src/secp256k1/src/field_10x26.h b/src/secp256k1/src/field_10x26.h index 5ff03c8a..203c1016 100644 --- a/src/secp256k1/src/field_10x26.h +++ b/src/secp256k1/src/field_10x26.h @@ -1,23 +1,36 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_REPR_H #define SECP256K1_FIELD_REPR_H #include +/** This field implementation represents the value as 10 uint32_t limbs in base + * 2^26. */ typedef struct { - /* X = sum(i=0..9, n[i]*2^(i*26)) mod p - * where p = 2^256 - 0x1000003D1 - */ + /* A field element f represents the sum(i=0..9, f.n[i] << (i*26)) mod p, + * where p is the field modulus, 2^256 - 2^32 - 977. + * + * The individual limbs f.n[i] can exceed 2^26; the field's magnitude roughly + * corresponds to how much excess is allowed. The value + * sum(i=0..9, f.n[i] << (i*26)) may exceed p, unless the field element is + * normalized. */ uint32_t n[10]; -#ifdef VERIFY - int magnitude; - int normalized; -#endif + /* + * Magnitude m requires: + * n[i] <= 2 * m * (2^26 - 1) for i=0..8 + * n[9] <= 2 * m * (2^22 - 1) + * + * Normalized requires: + * n[i] <= (2^26 - 1) for i=0..8 + * sum(i=0..9, n[i] << (i*26)) < p + * (together these imply n[9] <= 2^22 - 1) + */ + SECP256K1_FE_VERIFY_FIELDS } secp256k1_fe; /* Unpacks a constant into a overlapping multi-limbed FE element. */ @@ -34,12 +47,6 @@ typedef struct { (((uint32_t)d7) >> 10) \ } -#ifdef VERIFY -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)), 1, 1} -#else -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0))} -#endif - typedef struct { uint32_t n[8]; } secp256k1_fe_storage; diff --git a/src/secp256k1/src/field_10x26_impl.h b/src/secp256k1/src/field_10x26_impl.h index 4ae4fdce..ea14c273 100644 --- a/src/secp256k1/src/field_10x26_impl.h +++ b/src/secp256k1/src/field_10x26_impl.h @@ -1,45 +1,56 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_REPR_IMPL_H #define SECP256K1_FIELD_REPR_IMPL_H +#include "checkmem.h" #include "util.h" #include "field.h" +#include "modinv32_impl.h" #ifdef VERIFY -static void secp256k1_fe_verify(const secp256k1_fe *a) { +static void secp256k1_fe_impl_verify(const secp256k1_fe *a) { const uint32_t *d = a->n; - int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; - r &= (d[0] <= 0x3FFFFFFUL * m); - r &= (d[1] <= 0x3FFFFFFUL * m); - r &= (d[2] <= 0x3FFFFFFUL * m); - r &= (d[3] <= 0x3FFFFFFUL * m); - r &= (d[4] <= 0x3FFFFFFUL * m); - r &= (d[5] <= 0x3FFFFFFUL * m); - r &= (d[6] <= 0x3FFFFFFUL * m); - r &= (d[7] <= 0x3FFFFFFUL * m); - r &= (d[8] <= 0x3FFFFFFUL * m); - r &= (d[9] <= 0x03FFFFFUL * m); - r &= (a->magnitude >= 0); - r &= (a->magnitude <= 32); + int m = a->normalized ? 1 : 2 * a->magnitude; + VERIFY_CHECK(d[0] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[1] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[2] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[3] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[4] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[5] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[6] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[7] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[8] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[9] <= 0x03FFFFFUL * m); if (a->normalized) { - r &= (a->magnitude <= 1); - if (r && (d[9] == 0x03FFFFFUL)) { + if (d[9] == 0x03FFFFFUL) { uint32_t mid = d[8] & d[7] & d[6] & d[5] & d[4] & d[3] & d[2]; if (mid == 0x3FFFFFFUL) { - r &= ((d[1] + 0x40UL + ((d[0] + 0x3D1UL) >> 26)) <= 0x3FFFFFFUL); + VERIFY_CHECK((d[1] + 0x40UL + ((d[0] + 0x3D1UL) >> 26)) <= 0x3FFFFFFUL); } } } - VERIFY_CHECK(r == 1); } #endif -static void secp256k1_fe_normalize(secp256k1_fe *r) { +static void secp256k1_fe_impl_get_bounds(secp256k1_fe *r, int m) { + r->n[0] = 0x3FFFFFFUL * 2 * m; + r->n[1] = 0x3FFFFFFUL * 2 * m; + r->n[2] = 0x3FFFFFFUL * 2 * m; + r->n[3] = 0x3FFFFFFUL * 2 * m; + r->n[4] = 0x3FFFFFFUL * 2 * m; + r->n[5] = 0x3FFFFFFUL * 2 * m; + r->n[6] = 0x3FFFFFFUL * 2 * m; + r->n[7] = 0x3FFFFFFUL * 2 * m; + r->n[8] = 0x3FFFFFFUL * 2 * m; + r->n[9] = 0x03FFFFFUL * 2 * m; +} + +static void secp256k1_fe_impl_normalize(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -86,15 +97,9 @@ static void secp256k1_fe_normalize(secp256k1_fe *r) { r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_weak(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -118,14 +123,9 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; - -#ifdef VERIFY - r->magnitude = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_var(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_var(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -173,15 +173,9 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) { r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero(const secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -210,7 +204,7 @@ static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) { return (z0 == 0) | (z1 == 0x3FFFFFFUL); } -static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero_var(const secp256k1_fe *r) { uint32_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9; uint32_t z0, z1; uint32_t x; @@ -262,52 +256,22 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) { return (z0 == 0) | (z1 == 0x3FFFFFFUL); } -SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_impl_set_int(secp256k1_fe *r, int a) { r->n[0] = a; r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0; -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { +SECP256K1_INLINE static int secp256k1_fe_impl_is_zero(const secp256k1_fe *a) { const uint32_t *t = a->n; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif return (t[0] | t[1] | t[2] | t[3] | t[4] | t[5] | t[6] | t[7] | t[8] | t[9]) == 0; } -SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static int secp256k1_fe_impl_is_odd(const secp256k1_fe *a) { return a->n[0] & 1; } -SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { - int i; -#ifdef VERIFY - a->magnitude = 0; - a->normalized = 1; -#endif - for (i=0; i<10; i++) { - a->n[i] = 0; - } -} - -static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { +static int secp256k1_fe_impl_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { int i; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - VERIFY_CHECK(b->normalized); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); -#endif for (i = 9; i >= 0; i--) { if (a->n[i] > b->n[i]) { return 1; @@ -319,7 +283,7 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { return 0; } -static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { +static void secp256k1_fe_impl_set_b32_mod(secp256k1_fe *r, const unsigned char *a) { r->n[0] = (uint32_t)a[31] | ((uint32_t)a[30] << 8) | ((uint32_t)a[29] << 16) | ((uint32_t)(a[28] & 0x3) << 24); r->n[1] = (uint32_t)((a[28] >> 2) & 0x3f) | ((uint32_t)a[27] << 6) | ((uint32_t)a[26] << 14) | ((uint32_t)(a[25] & 0xf) << 22); r->n[2] = (uint32_t)((a[25] >> 4) & 0xf) | ((uint32_t)a[24] << 4) | ((uint32_t)a[23] << 12) | ((uint32_t)(a[22] & 0x3f) << 20); @@ -330,24 +294,15 @@ static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { r->n[7] = (uint32_t)((a[9] >> 6) & 0x3) | ((uint32_t)a[8] << 2) | ((uint32_t)a[7] << 10) | ((uint32_t)a[6] << 18); r->n[8] = (uint32_t)a[5] | ((uint32_t)a[4] << 8) | ((uint32_t)a[3] << 16) | ((uint32_t)(a[2] & 0x3) << 24); r->n[9] = (uint32_t)((a[2] >> 2) & 0x3f) | ((uint32_t)a[1] << 6) | ((uint32_t)a[0] << 14); +} - if (r->n[9] == 0x3FFFFFUL && (r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL && (r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL) { - return 0; - } -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif - return 1; +static int secp256k1_fe_impl_set_b32_limit(secp256k1_fe *r, const unsigned char *a) { + secp256k1_fe_impl_set_b32_mod(r, a); + return !((r->n[9] == 0x3FFFFFUL) & ((r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL) & ((r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL)); } /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +static void secp256k1_fe_impl_get_b32(unsigned char *r, const secp256k1_fe *a) { r[0] = (a->n[9] >> 14) & 0xff; r[1] = (a->n[9] >> 6) & 0xff; r[2] = ((a->n[9] & 0x3F) << 2) | ((a->n[8] >> 24) & 0x3); @@ -382,11 +337,15 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { r[31] = a->n[0] & 0xff; } -SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= m); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m) { + /* For all legal values of m (0..31), the following properties hold: */ + VERIFY_CHECK(0x3FFFC2FUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m); + VERIFY_CHECK(0x3FFFFBFUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m); + VERIFY_CHECK(0x3FFFFFFUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m); + VERIFY_CHECK(0x03FFFFFUL * 2 * (m + 1) >= 0x03FFFFFUL * 2 * m); + + /* Due to the properties above, the left hand in the subtractions below is never less than + * the right hand. */ r->n[0] = 0x3FFFC2FUL * 2 * (m + 1) - a->n[0]; r->n[1] = 0x3FFFFBFUL * 2 * (m + 1) - a->n[1]; r->n[2] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[2]; @@ -397,14 +356,9 @@ SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k r->n[7] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[7]; r->n[8] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[8]; r->n[9] = 0x03FFFFFUL * 2 * (m + 1) - a->n[9]; -#ifdef VERIFY - r->magnitude = m + 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_impl_mul_int_unchecked(secp256k1_fe *r, int a) { r->n[0] *= a; r->n[1] *= a; r->n[2] *= a; @@ -415,17 +369,9 @@ SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { r->n[7] *= a; r->n[8] *= a; r->n[9] *= a; -#ifdef VERIFY - r->magnitude *= a; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_add(secp256k1_fe *r, const secp256k1_fe *a) { r->n[0] += a->n[0]; r->n[1] += a->n[1]; r->n[2] += a->n[2]; @@ -436,11 +382,10 @@ SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_f r->n[7] += a->n[7]; r->n[8] += a->n[8]; r->n[9] += a->n[9]; -#ifdef VERIFY - r->magnitude += a->magnitude; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif +} + +SECP256K1_INLINE static void secp256k1_fe_impl_add_int(secp256k1_fe *r, int a) { + r->n[0] += a; } #if defined(USE_EXTERNAL_ASM) @@ -451,11 +396,7 @@ void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t *a); #else -#ifdef VERIFY #define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) -#else -#define VERIFY_BITS(x, n) do { } while(0) -#endif SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint32_t *r, const uint32_t *a, const uint32_t * SECP256K1_RESTRICT b) { uint64_t c, d; @@ -1062,39 +1003,19 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t } #endif -static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - VERIFY_CHECK(b->magnitude <= 8); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); - VERIFY_CHECK(r != b); - VERIFY_CHECK(a != b); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { secp256k1_fe_mul_inner(r->n, a->n, b->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_sqr(secp256k1_fe *r, const secp256k1_fe *a) { secp256k1_fe_sqr_inner(r->n, a->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { +SECP256K1_INLINE static void secp256k1_fe_impl_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { uint32_t mask0, mask1; - mask0 = flag + ~((uint32_t)0); + volatile int vflag = flag; + SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = vflag + ~((uint32_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); @@ -1106,17 +1027,78 @@ static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_ r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); r->n[8] = (r->n[8] & mask0) | (a->n[8] & mask1); r->n[9] = (r->n[9] & mask0) | (a->n[9] & mask1); -#ifdef VERIFY - if (a->magnitude > r->magnitude) { - r->magnitude = a->magnitude; - } - r->normalized &= a->normalized; -#endif +} + +static SECP256K1_INLINE void secp256k1_fe_impl_half(secp256k1_fe *r) { + uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], + t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; + uint32_t one = (uint32_t)1; + uint32_t mask = -(t0 & one) >> 6; + + /* Bounds analysis (over the rationals). + * + * Let m = r->magnitude + * C = 0x3FFFFFFUL * 2 + * D = 0x03FFFFFUL * 2 + * + * Initial bounds: t0..t8 <= C * m + * t9 <= D * m + */ + + t0 += 0x3FFFC2FUL & mask; + t1 += 0x3FFFFBFUL & mask; + t2 += mask; + t3 += mask; + t4 += mask; + t5 += mask; + t6 += mask; + t7 += mask; + t8 += mask; + t9 += mask >> 4; + + VERIFY_CHECK((t0 & one) == 0); + + /* t0..t8: added <= C/2 + * t9: added <= D/2 + * + * Current bounds: t0..t8 <= C * (m + 1/2) + * t9 <= D * (m + 1/2) + */ + + r->n[0] = (t0 >> 1) + ((t1 & one) << 25); + r->n[1] = (t1 >> 1) + ((t2 & one) << 25); + r->n[2] = (t2 >> 1) + ((t3 & one) << 25); + r->n[3] = (t3 >> 1) + ((t4 & one) << 25); + r->n[4] = (t4 >> 1) + ((t5 & one) << 25); + r->n[5] = (t5 >> 1) + ((t6 & one) << 25); + r->n[6] = (t6 >> 1) + ((t7 & one) << 25); + r->n[7] = (t7 >> 1) + ((t8 & one) << 25); + r->n[8] = (t8 >> 1) + ((t9 & one) << 25); + r->n[9] = (t9 >> 1); + + /* t0..t8: shifted right and added <= C/4 + 1/2 + * t9: shifted right + * + * Current bounds: t0..t8 <= C * (m/2 + 1/2) + * t9 <= D * (m/2 + 1/4) + * + * Therefore the output magnitude (M) has to be set such that: + * t0..t8: C * M >= C * (m/2 + 1/2) + * t9: D * M >= D * (m/2 + 1/4) + * + * It suffices for all limbs that, for any input magnitude m: + * M >= m/2 + 1/2 + * + * and since we want the smallest such integer value for M: + * M == floor(m/2) + 1 + */ } static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { uint32_t mask0, mask1; - mask0 = flag + ~((uint32_t)0); + volatile int vflag = flag; + SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = vflag + ~((uint32_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); @@ -1128,10 +1110,7 @@ static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); } -static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); -#endif +static void secp256k1_fe_impl_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { r->n[0] = a->n[0] | a->n[1] << 26; r->n[1] = a->n[1] >> 6 | a->n[2] << 20; r->n[2] = a->n[2] >> 12 | a->n[3] << 14; @@ -1142,7 +1121,7 @@ static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe r->n[7] = a->n[8] >> 16 | a->n[9] << 10; } -static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { +static SECP256K1_INLINE void secp256k1_fe_impl_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { r->n[0] = a->n[0] & 0x3FFFFFFUL; r->n[1] = a->n[0] >> 26 | ((a->n[1] << 6) & 0x3FFFFFFUL); r->n[2] = a->n[1] >> 20 | ((a->n[2] << 12) & 0x3FFFFFFUL); @@ -1153,10 +1132,101 @@ static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const se r->n[7] = a->n[5] >> 22 | ((a->n[6] << 10) & 0x3FFFFFFUL); r->n[8] = a->n[6] >> 16 | ((a->n[7] << 16) & 0x3FFFFFFUL); r->n[9] = a->n[7] >> 10; -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; -#endif +} + +static void secp256k1_fe_from_signed30(secp256k1_fe *r, const secp256k1_modinv32_signed30 *a) { + const uint32_t M26 = UINT32_MAX >> 6; + const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4], + a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8]; + + /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8). + */ + VERIFY_CHECK(a0 >> 30 == 0); + VERIFY_CHECK(a1 >> 30 == 0); + VERIFY_CHECK(a2 >> 30 == 0); + VERIFY_CHECK(a3 >> 30 == 0); + VERIFY_CHECK(a4 >> 30 == 0); + VERIFY_CHECK(a5 >> 30 == 0); + VERIFY_CHECK(a6 >> 30 == 0); + VERIFY_CHECK(a7 >> 30 == 0); + VERIFY_CHECK(a8 >> 16 == 0); + + r->n[0] = a0 & M26; + r->n[1] = (a0 >> 26 | a1 << 4) & M26; + r->n[2] = (a1 >> 22 | a2 << 8) & M26; + r->n[3] = (a2 >> 18 | a3 << 12) & M26; + r->n[4] = (a3 >> 14 | a4 << 16) & M26; + r->n[5] = (a4 >> 10 | a5 << 20) & M26; + r->n[6] = (a5 >> 6 | a6 << 24) & M26; + r->n[7] = (a6 >> 2 ) & M26; + r->n[8] = (a6 >> 28 | a7 << 2) & M26; + r->n[9] = (a7 >> 24 | a8 << 6); +} + +static void secp256k1_fe_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_fe *a) { + const uint32_t M30 = UINT32_MAX >> 2; + const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4], + a5 = a->n[5], a6 = a->n[6], a7 = a->n[7], a8 = a->n[8], a9 = a->n[9]; + + r->v[0] = (a0 | a1 << 26) & M30; + r->v[1] = (a1 >> 4 | a2 << 22) & M30; + r->v[2] = (a2 >> 8 | a3 << 18) & M30; + r->v[3] = (a3 >> 12 | a4 << 14) & M30; + r->v[4] = (a4 >> 16 | a5 << 10) & M30; + r->v[5] = (a5 >> 20 | a6 << 6) & M30; + r->v[6] = (a6 >> 24 | a7 << 2 + | a8 << 28) & M30; + r->v[7] = (a8 >> 2 | a9 << 24) & M30; + r->v[8] = a9 >> 6; +} + +static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_fe = { + {{-0x3D1, -4, 0, 0, 0, 0, 0, 0, 65536}}, + 0x2DDACACFL +}; + +static void secp256k1_fe_impl_inv(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; + secp256k1_modinv32_signed30 s; + + secp256k1_fe_normalize(&tmp); + secp256k1_fe_to_signed30(&s, &tmp); + secp256k1_modinv32(&s, &secp256k1_const_modinfo_fe); + secp256k1_fe_from_signed30(r, &s); +} + +static void secp256k1_fe_impl_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; + secp256k1_modinv32_signed30 s; + + secp256k1_fe_normalize_var(&tmp); + secp256k1_fe_to_signed30(&s, &tmp); + secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_fe); + secp256k1_fe_from_signed30(r, &s); +} + +static int secp256k1_fe_impl_is_square_var(const secp256k1_fe *x) { + secp256k1_fe tmp; + secp256k1_modinv32_signed30 s; + int jac, ret; + + tmp = *x; + secp256k1_fe_normalize_var(&tmp); + /* secp256k1_jacobi32_maybe_var cannot deal with input 0. */ + if (secp256k1_fe_is_zero(&tmp)) return 1; + secp256k1_fe_to_signed30(&s, &tmp); + jac = secp256k1_jacobi32_maybe_var(&s, &secp256k1_const_modinfo_fe); + if (jac == 0) { + /* secp256k1_jacobi32_maybe_var failed to compute the Jacobi symbol. Fall back + * to computing a square root. This should be extremely rare with random + * input (except in VERIFY mode, where a lower iteration count is used). */ + secp256k1_fe dummy; + ret = secp256k1_fe_sqrt(&dummy, &tmp); + } else { + ret = jac >= 0; + } + return ret; } #endif /* SECP256K1_FIELD_REPR_IMPL_H */ diff --git a/src/secp256k1/src/field_5x52.h b/src/secp256k1/src/field_5x52.h index fc5bfe35..f20c246f 100644 --- a/src/secp256k1/src/field_5x52.h +++ b/src/secp256k1/src/field_5x52.h @@ -1,23 +1,36 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_REPR_H #define SECP256K1_FIELD_REPR_H #include +/** This field implementation represents the value as 5 uint64_t limbs in base + * 2^52. */ typedef struct { - /* X = sum(i=0..4, n[i]*2^(i*52)) mod p - * where p = 2^256 - 0x1000003D1 - */ + /* A field element f represents the sum(i=0..4, f.n[i] << (i*52)) mod p, + * where p is the field modulus, 2^256 - 2^32 - 977. + * + * The individual limbs f.n[i] can exceed 2^52; the field's magnitude roughly + * corresponds to how much excess is allowed. The value + * sum(i=0..4, f.n[i] << (i*52)) may exceed p, unless the field element is + * normalized. */ uint64_t n[5]; -#ifdef VERIFY - int magnitude; - int normalized; -#endif + /* + * Magnitude m requires: + * n[i] <= 2 * m * (2^52 - 1) for i=0..3 + * n[4] <= 2 * m * (2^48 - 1) + * + * Normalized requires: + * n[i] <= (2^52 - 1) for i=0..3 + * sum(i=0..4, n[i] << (i*52)) < p + * (together these imply n[4] <= 2^48 - 1) + */ + SECP256K1_FE_VERIFY_FIELDS } secp256k1_fe; /* Unpacks a constant into a overlapping multi-limbed FE element. */ @@ -29,12 +42,6 @@ typedef struct { ((uint64_t)(d6) >> 16) | (((uint64_t)(d7)) << 16) \ } -#ifdef VERIFY -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)), 1, 1} -#else -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0))} -#endif - typedef struct { uint64_t n[4]; } secp256k1_fe_storage; @@ -46,4 +53,10 @@ typedef struct { (d6) | (((uint64_t)(d7)) << 32) \ }} +#define SECP256K1_FE_STORAGE_CONST_GET(d) \ + (uint32_t)(d.n[3] >> 32), (uint32_t)d.n[3], \ + (uint32_t)(d.n[2] >> 32), (uint32_t)d.n[2], \ + (uint32_t)(d.n[1] >> 32), (uint32_t)d.n[1], \ + (uint32_t)(d.n[0] >> 32), (uint32_t)d.n[0] + #endif /* SECP256K1_FIELD_REPR_H */ diff --git a/src/secp256k1/src/field_5x52_asm_impl.h b/src/secp256k1/src/field_5x52_asm_impl.h deleted file mode 100644 index 1fc3171f..00000000 --- a/src/secp256k1/src/field_5x52_asm_impl.h +++ /dev/null @@ -1,502 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -/** - * Changelog: - * - March 2013, Diederik Huys: original version - * - November 2014, Pieter Wuille: updated to use Peter Dettman's parallel multiplication algorithm - * - December 2014, Pieter Wuille: converted from YASM to GCC inline assembly - */ - -#ifndef SECP256K1_FIELD_INNER5X52_IMPL_H -#define SECP256K1_FIELD_INNER5X52_IMPL_H - -SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { -/** - * Registers: rdx:rax = multiplication accumulator - * r9:r8 = c - * r15:rcx = d - * r10-r14 = a0-a4 - * rbx = b - * rdi = r - * rsi = a / t? - */ - uint64_t tmp1, tmp2, tmp3; -__asm__ __volatile__( - "movq 0(%%rsi),%%r10\n" - "movq 8(%%rsi),%%r11\n" - "movq 16(%%rsi),%%r12\n" - "movq 24(%%rsi),%%r13\n" - "movq 32(%%rsi),%%r14\n" - - /* d += a3 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r13\n" - "movq %%rax,%%rcx\n" - "movq %%rdx,%%r15\n" - /* d += a2 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a1 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d = a0 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c = a4 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r14\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += (c & M) * R */ - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* t3 (tmp1) = d & M */ - "movq %%rcx,%%rsi\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rsi\n" - "movq %%rsi,%q1\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* d += a4 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a2 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a1 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a0 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += c * R */ - "movq %%r8,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* t4 = d & M (%%rsi) */ - "movq %%rcx,%%rsi\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* tx = t4 >> 48 (tmp3) */ - "movq %%rsi,%%rax\n" - "shrq $48,%%rax\n" - "movq %%rax,%q3\n" - /* t4 &= (M >> 4) (tmp2) */ - "movq $0xffffffffffff,%%rax\n" - "andq %%rax,%%rsi\n" - "movq %%rsi,%q2\n" - /* c = a0 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r10\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += a4 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a2 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a1 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* u0 = d & M (%%rsi) */ - "movq %%rcx,%%rsi\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* u0 = (u0 << 4) | tx (%%rsi) */ - "shlq $4,%%rsi\n" - "movq %q3,%%rax\n" - "orq %%rax,%%rsi\n" - /* c += u0 * (R >> 4) */ - "movq $0x1000003d1,%%rax\n" - "mulq %%rsi\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[0] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,0(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += a1 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* c += a0 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d += a4 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a2 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c += (d & M) * R */ - "movq %%rcx,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* r[1] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,8(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += a2 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* c += a1 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* c += a0 * b2 (last use of %%r10 = a0) */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* fetch t3 (%%r10, overwrites a0), t4 (%%rsi) */ - "movq %q2,%%rsi\n" - "movq %q1,%%r10\n" - /* d += a4 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c += (d & M) * R */ - "movq %%rcx,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 (%%rcx only) */ - "shrdq $52,%%r15,%%rcx\n" - /* r[2] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,16(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += t3 */ - "addq %%r10,%%r8\n" - /* c += d * R */ - "movq %%rcx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[3] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,24(%%rdi)\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* c += t4 (%%r8 only) */ - "addq %%rsi,%%r8\n" - /* r[4] = c */ - "movq %%r8,32(%%rdi)\n" -: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) -: "b"(b), "D"(r) -: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" -); -} - -SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { -/** - * Registers: rdx:rax = multiplication accumulator - * r9:r8 = c - * rcx:rbx = d - * r10-r14 = a0-a4 - * r15 = M (0xfffffffffffff) - * rdi = r - * rsi = a / t? - */ - uint64_t tmp1, tmp2, tmp3; -__asm__ __volatile__( - "movq 0(%%rsi),%%r10\n" - "movq 8(%%rsi),%%r11\n" - "movq 16(%%rsi),%%r12\n" - "movq 24(%%rsi),%%r13\n" - "movq 32(%%rsi),%%r14\n" - "movq $0xfffffffffffff,%%r15\n" - - /* d = (a0*2) * a3 */ - "leaq (%%r10,%%r10,1),%%rax\n" - "mulq %%r13\n" - "movq %%rax,%%rbx\n" - "movq %%rdx,%%rcx\n" - /* d += (a1*2) * a2 */ - "leaq (%%r11,%%r11,1),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c = a4 * a4 */ - "movq %%r14,%%rax\n" - "mulq %%r14\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += (c & M) * R */ - "andq %%r15,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* t3 (tmp1) = d & M */ - "movq %%rbx,%%rsi\n" - "andq %%r15,%%rsi\n" - "movq %%rsi,%q1\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* a4 *= 2 */ - "addq %%r14,%%r14\n" - /* d += a0 * a4 */ - "movq %%r10,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d+= (a1*2) * a3 */ - "leaq (%%r11,%%r11,1),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += a2 * a2 */ - "movq %%r12,%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += c * R */ - "movq %%r8,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* t4 = d & M (%%rsi) */ - "movq %%rbx,%%rsi\n" - "andq %%r15,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* tx = t4 >> 48 (tmp3) */ - "movq %%rsi,%%rax\n" - "shrq $48,%%rax\n" - "movq %%rax,%q3\n" - /* t4 &= (M >> 4) (tmp2) */ - "movq $0xffffffffffff,%%rax\n" - "andq %%rax,%%rsi\n" - "movq %%rsi,%q2\n" - /* c = a0 * a0 */ - "movq %%r10,%%rax\n" - "mulq %%r10\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += a1 * a4 */ - "movq %%r11,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += (a2*2) * a3 */ - "leaq (%%r12,%%r12,1),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* u0 = d & M (%%rsi) */ - "movq %%rbx,%%rsi\n" - "andq %%r15,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* u0 = (u0 << 4) | tx (%%rsi) */ - "shlq $4,%%rsi\n" - "movq %q3,%%rax\n" - "orq %%rax,%%rsi\n" - /* c += u0 * (R >> 4) */ - "movq $0x1000003d1,%%rax\n" - "mulq %%rsi\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[0] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,0(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* a0 *= 2 */ - "addq %%r10,%%r10\n" - /* c += a0 * a1 */ - "movq %%r10,%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d += a2 * a4 */ - "movq %%r12,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += a3 * a3 */ - "movq %%r13,%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c += (d & M) * R */ - "movq %%rbx,%%rax\n" - "andq %%r15,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* r[1] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,8(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += a0 * a2 (last use of %%r10) */ - "movq %%r10,%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* fetch t3 (%%r10, overwrites a0),t4 (%%rsi) */ - "movq %q2,%%rsi\n" - "movq %q1,%%r10\n" - /* c += a1 * a1 */ - "movq %%r11,%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d += a3 * a4 */ - "movq %%r13,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c += (d & M) * R */ - "movq %%rbx,%%rax\n" - "andq %%r15,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 (%%rbx only) */ - "shrdq $52,%%rcx,%%rbx\n" - /* r[2] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,16(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += t3 */ - "addq %%r10,%%r8\n" - /* c += d * R */ - "movq %%rbx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[3] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,24(%%rdi)\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* c += t4 (%%r8 only) */ - "addq %%rsi,%%r8\n" - /* r[4] = c */ - "movq %%r8,32(%%rdi)\n" -: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) -: "D"(r) -: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" -); -} - -#endif /* SECP256K1_FIELD_INNER5X52_IMPL_H */ diff --git a/src/secp256k1/src/field_5x52_impl.h b/src/secp256k1/src/field_5x52_impl.h index f4263320..46dca6b9 100644 --- a/src/secp256k1/src/field_5x52_impl.h +++ b/src/secp256k1/src/field_5x52_impl.h @@ -1,56 +1,46 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_REPR_IMPL_H #define SECP256K1_FIELD_REPR_IMPL_H -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif - +#include "checkmem.h" #include "util.h" #include "field.h" +#include "modinv64_impl.h" -#if defined(USE_ASM_X86_64) -#include "field_5x52_asm_impl.h" -#else #include "field_5x52_int128_impl.h" -#endif - -/** Implements arithmetic modulo FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F, - * represented as 5 uint64_t's in base 2^52. The values are allowed to contain >52 each. In particular, - * each FieldElem has a 'magnitude' associated with it. Internally, a magnitude M means each element - * is at most M*(2^53-1), except the most significant one, which is limited to M*(2^49-1). All operations - * accept any input with magnitude at most M, and have different rules for propagating magnitude to their - * output. - */ #ifdef VERIFY -static void secp256k1_fe_verify(const secp256k1_fe *a) { +static void secp256k1_fe_impl_verify(const secp256k1_fe *a) { const uint64_t *d = a->n; - int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; + int m = a->normalized ? 1 : 2 * a->magnitude; /* secp256k1 'p' value defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ - r &= (d[0] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[1] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[2] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[3] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[4] <= 0x0FFFFFFFFFFFFULL * m); - r &= (a->magnitude >= 0); - r &= (a->magnitude <= 2048); + VERIFY_CHECK(d[0] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[1] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[2] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[3] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[4] <= 0x0FFFFFFFFFFFFULL * m); if (a->normalized) { - r &= (a->magnitude <= 1); - if (r && (d[4] == 0x0FFFFFFFFFFFFULL) && ((d[3] & d[2] & d[1]) == 0xFFFFFFFFFFFFFULL)) { - r &= (d[0] < 0xFFFFEFFFFFC2FULL); + if ((d[4] == 0x0FFFFFFFFFFFFULL) && ((d[3] & d[2] & d[1]) == 0xFFFFFFFFFFFFFULL)) { + VERIFY_CHECK(d[0] < 0xFFFFEFFFFFC2FULL); } } - VERIFY_CHECK(r == 1); } #endif -static void secp256k1_fe_normalize(secp256k1_fe *r) { +static void secp256k1_fe_impl_get_bounds(secp256k1_fe *r, int m) { + r->n[0] = 0xFFFFFFFFFFFFFULL * 2 * m; + r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * m; + r->n[2] = 0xFFFFFFFFFFFFFULL * 2 * m; + r->n[3] = 0xFFFFFFFFFFFFFULL * 2 * m; + r->n[4] = 0x0FFFFFFFFFFFFULL * 2 * m; +} + +static void secp256k1_fe_impl_normalize(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -85,15 +75,9 @@ static void secp256k1_fe_normalize(secp256k1_fe *r) { t4 &= 0x0FFFFFFFFFFFFULL; r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_weak(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -110,14 +94,9 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { VERIFY_CHECK(t4 >> 49 == 0); r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; - -#ifdef VERIFY - r->magnitude = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_var(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_var(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -153,15 +132,9 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) { } r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero(const secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ @@ -184,7 +157,7 @@ static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) { return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); } -static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero_var(const secp256k1_fe *r) { uint64_t t0, t1, t2, t3, t4; uint64_t z0, z1; uint64_t x; @@ -225,52 +198,22 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) { return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); } -SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_impl_set_int(secp256k1_fe *r, int a) { r->n[0] = a; r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0; -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { +SECP256K1_INLINE static int secp256k1_fe_impl_is_zero(const secp256k1_fe *a) { const uint64_t *t = a->n; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif return (t[0] | t[1] | t[2] | t[3] | t[4]) == 0; } -SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static int secp256k1_fe_impl_is_odd(const secp256k1_fe *a) { return a->n[0] & 1; } -SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { +static int secp256k1_fe_impl_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { int i; -#ifdef VERIFY - a->magnitude = 0; - a->normalized = 1; -#endif - for (i=0; i<5; i++) { - a->n[i] = 0; - } -} - -static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { - int i; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - VERIFY_CHECK(b->normalized); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); -#endif for (i = 4; i >= 0; i--) { if (a->n[i] > b->n[i]) { return 1; @@ -282,7 +225,7 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { return 0; } -static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { +static void secp256k1_fe_impl_set_b32_mod(secp256k1_fe *r, const unsigned char *a) { r->n[0] = (uint64_t)a[31] | ((uint64_t)a[30] << 8) | ((uint64_t)a[29] << 16) @@ -317,23 +260,15 @@ static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { | ((uint64_t)a[2] << 24) | ((uint64_t)a[1] << 32) | ((uint64_t)a[0] << 40); - if (r->n[4] == 0x0FFFFFFFFFFFFULL && (r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL && r->n[0] >= 0xFFFFEFFFFFC2FULL) { - return 0; - } -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif - return 1; +} + +static int secp256k1_fe_impl_set_b32_limit(secp256k1_fe *r, const unsigned char *a) { + secp256k1_fe_impl_set_b32_mod(r, a); + return !((r->n[4] == 0x0FFFFFFFFFFFFULL) & ((r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL) & (r->n[0] >= 0xFFFFEFFFFFC2FULL)); } /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +static void secp256k1_fe_impl_get_b32(unsigned char *r, const secp256k1_fe *a) { r[0] = (a->n[4] >> 40) & 0xFF; r[1] = (a->n[4] >> 32) & 0xFF; r[2] = (a->n[4] >> 24) & 0xFF; @@ -368,102 +303,121 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { r[31] = a->n[0] & 0xFF; } -SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= m); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m) { + /* For all legal values of m (0..31), the following properties hold: */ + VERIFY_CHECK(0xFFFFEFFFFFC2FULL * 2 * (m + 1) >= 0xFFFFFFFFFFFFFULL * 2 * m); + VERIFY_CHECK(0xFFFFFFFFFFFFFULL * 2 * (m + 1) >= 0xFFFFFFFFFFFFFULL * 2 * m); + VERIFY_CHECK(0x0FFFFFFFFFFFFULL * 2 * (m + 1) >= 0x0FFFFFFFFFFFFULL * 2 * m); + + /* Due to the properties above, the left hand in the subtractions below is never less than + * the right hand. */ r->n[0] = 0xFFFFEFFFFFC2FULL * 2 * (m + 1) - a->n[0]; r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[1]; r->n[2] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[2]; r->n[3] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[3]; r->n[4] = 0x0FFFFFFFFFFFFULL * 2 * (m + 1) - a->n[4]; -#ifdef VERIFY - r->magnitude = m + 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_impl_mul_int_unchecked(secp256k1_fe *r, int a) { r->n[0] *= a; r->n[1] *= a; r->n[2] *= a; r->n[3] *= a; r->n[4] *= a; -#ifdef VERIFY - r->magnitude *= a; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_add_int(secp256k1_fe *r, int a) { + r->n[0] += a; +} + +SECP256K1_INLINE static void secp256k1_fe_impl_add(secp256k1_fe *r, const secp256k1_fe *a) { r->n[0] += a->n[0]; r->n[1] += a->n[1]; r->n[2] += a->n[2]; r->n[3] += a->n[3]; r->n[4] += a->n[4]; -#ifdef VERIFY - r->magnitude += a->magnitude; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - VERIFY_CHECK(b->magnitude <= 8); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); - VERIFY_CHECK(r != b); - VERIFY_CHECK(a != b); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { secp256k1_fe_mul_inner(r->n, a->n, b->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_sqr(secp256k1_fe *r, const secp256k1_fe *a) { secp256k1_fe_sqr_inner(r->n, a->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { +SECP256K1_INLINE static void secp256k1_fe_impl_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { uint64_t mask0, mask1; - mask0 = flag + ~((uint64_t)0); + volatile int vflag = flag; + SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = vflag + ~((uint64_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); r->n[2] = (r->n[2] & mask0) | (a->n[2] & mask1); r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1); -#ifdef VERIFY - if (a->magnitude > r->magnitude) { - r->magnitude = a->magnitude; - } - r->normalized &= a->normalized; -#endif +} + +static SECP256K1_INLINE void secp256k1_fe_impl_half(secp256k1_fe *r) { + uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; + uint64_t one = (uint64_t)1; + uint64_t mask = -(t0 & one) >> 12; + + /* Bounds analysis (over the rationals). + * + * Let m = r->magnitude + * C = 0xFFFFFFFFFFFFFULL * 2 + * D = 0x0FFFFFFFFFFFFULL * 2 + * + * Initial bounds: t0..t3 <= C * m + * t4 <= D * m + */ + + t0 += 0xFFFFEFFFFFC2FULL & mask; + t1 += mask; + t2 += mask; + t3 += mask; + t4 += mask >> 4; + + VERIFY_CHECK((t0 & one) == 0); + + /* t0..t3: added <= C/2 + * t4: added <= D/2 + * + * Current bounds: t0..t3 <= C * (m + 1/2) + * t4 <= D * (m + 1/2) + */ + + r->n[0] = (t0 >> 1) + ((t1 & one) << 51); + r->n[1] = (t1 >> 1) + ((t2 & one) << 51); + r->n[2] = (t2 >> 1) + ((t3 & one) << 51); + r->n[3] = (t3 >> 1) + ((t4 & one) << 51); + r->n[4] = (t4 >> 1); + + /* t0..t3: shifted right and added <= C/4 + 1/2 + * t4: shifted right + * + * Current bounds: t0..t3 <= C * (m/2 + 1/2) + * t4 <= D * (m/2 + 1/4) + * + * Therefore the output magnitude (M) has to be set such that: + * t0..t3: C * M >= C * (m/2 + 1/2) + * t4: D * M >= D * (m/2 + 1/4) + * + * It suffices for all limbs that, for any input magnitude m: + * M >= m/2 + 1/2 + * + * and since we want the smallest such integer value for M: + * M == floor(m/2) + 1 + */ } static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { uint64_t mask0, mask1; - mask0 = flag + ~((uint64_t)0); + volatile int vflag = flag; + SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = vflag + ~((uint64_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); @@ -471,26 +425,98 @@ static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); } -static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); -#endif +static void secp256k1_fe_impl_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { r->n[0] = a->n[0] | a->n[1] << 52; r->n[1] = a->n[1] >> 12 | a->n[2] << 40; r->n[2] = a->n[2] >> 24 | a->n[3] << 28; r->n[3] = a->n[3] >> 36 | a->n[4] << 16; } -static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { +static SECP256K1_INLINE void secp256k1_fe_impl_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { r->n[0] = a->n[0] & 0xFFFFFFFFFFFFFULL; r->n[1] = a->n[0] >> 52 | ((a->n[1] << 12) & 0xFFFFFFFFFFFFFULL); r->n[2] = a->n[1] >> 40 | ((a->n[2] << 24) & 0xFFFFFFFFFFFFFULL); r->n[3] = a->n[2] >> 28 | ((a->n[3] << 36) & 0xFFFFFFFFFFFFFULL); r->n[4] = a->n[3] >> 16; -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; -#endif +} + +static void secp256k1_fe_from_signed62(secp256k1_fe *r, const secp256k1_modinv64_signed62 *a) { + const uint64_t M52 = UINT64_MAX >> 12; + const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4]; + + /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4). + */ + VERIFY_CHECK(a0 >> 62 == 0); + VERIFY_CHECK(a1 >> 62 == 0); + VERIFY_CHECK(a2 >> 62 == 0); + VERIFY_CHECK(a3 >> 62 == 0); + VERIFY_CHECK(a4 >> 8 == 0); + + r->n[0] = a0 & M52; + r->n[1] = (a0 >> 52 | a1 << 10) & M52; + r->n[2] = (a1 >> 42 | a2 << 20) & M52; + r->n[3] = (a2 >> 32 | a3 << 30) & M52; + r->n[4] = (a3 >> 22 | a4 << 40); +} + +static void secp256k1_fe_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_fe *a) { + const uint64_t M62 = UINT64_MAX >> 2; + const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4]; + + r->v[0] = (a0 | a1 << 52) & M62; + r->v[1] = (a1 >> 10 | a2 << 42) & M62; + r->v[2] = (a2 >> 20 | a3 << 32) & M62; + r->v[3] = (a3 >> 30 | a4 << 22) & M62; + r->v[4] = a4 >> 40; +} + +static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_fe = { + {{-0x1000003D1LL, 0, 0, 0, 256}}, + 0x27C7F6E22DDACACFLL +}; + +static void secp256k1_fe_impl_inv(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; + secp256k1_modinv64_signed62 s; + + secp256k1_fe_normalize(&tmp); + secp256k1_fe_to_signed62(&s, &tmp); + secp256k1_modinv64(&s, &secp256k1_const_modinfo_fe); + secp256k1_fe_from_signed62(r, &s); +} + +static void secp256k1_fe_impl_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; + secp256k1_modinv64_signed62 s; + + secp256k1_fe_normalize_var(&tmp); + secp256k1_fe_to_signed62(&s, &tmp); + secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_fe); + secp256k1_fe_from_signed62(r, &s); +} + +static int secp256k1_fe_impl_is_square_var(const secp256k1_fe *x) { + secp256k1_fe tmp; + secp256k1_modinv64_signed62 s; + int jac, ret; + + tmp = *x; + secp256k1_fe_normalize_var(&tmp); + /* secp256k1_jacobi64_maybe_var cannot deal with input 0. */ + if (secp256k1_fe_is_zero(&tmp)) return 1; + secp256k1_fe_to_signed62(&s, &tmp); + jac = secp256k1_jacobi64_maybe_var(&s, &secp256k1_const_modinfo_fe); + if (jac == 0) { + /* secp256k1_jacobi64_maybe_var failed to compute the Jacobi symbol. Fall back + * to computing a square root. This should be extremely rare with random + * input (except in VERIFY mode, where a lower iteration count is used). */ + secp256k1_fe dummy; + ret = secp256k1_fe_sqrt(&dummy, &tmp); + } else { + ret = jac >= 0; + } + return ret; } #endif /* SECP256K1_FIELD_REPR_IMPL_H */ diff --git a/src/secp256k1/src/field_5x52_int128_impl.h b/src/secp256k1/src/field_5x52_int128_impl.h index bcbfb92a..f23f8ee1 100644 --- a/src/secp256k1/src/field_5x52_int128_impl.h +++ b/src/secp256k1/src/field_5x52_int128_impl.h @@ -1,22 +1,22 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_INNER5X52_IMPL_H #define SECP256K1_FIELD_INNER5X52_IMPL_H #include -#ifdef VERIFY +#include "int128.h" +#include "util.h" + #define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) -#else -#define VERIFY_BITS(x, n) do { } while(0) -#endif +#define VERIFY_BITS_128(x, n) VERIFY_CHECK(secp256k1_u128_check_bits((x), (n))) SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { - uint128_t c, d; + secp256k1_uint128 c, d; uint64_t t3, t4, tx, u0; uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; @@ -40,124 +40,121 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t * Note that [x 0 0 0 0 0] = [x*R]. */ - d = (uint128_t)a0 * b[3] - + (uint128_t)a1 * b[2] - + (uint128_t)a2 * b[1] - + (uint128_t)a3 * b[0]; - VERIFY_BITS(d, 114); + secp256k1_u128_mul(&d, a0, b[3]); + secp256k1_u128_accum_mul(&d, a1, b[2]); + secp256k1_u128_accum_mul(&d, a2, b[1]); + secp256k1_u128_accum_mul(&d, a3, b[0]); + VERIFY_BITS_128(&d, 114); /* [d 0 0 0] = [p3 0 0 0] */ - c = (uint128_t)a4 * b[4]; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a4, b[4]); + VERIFY_BITS_128(&c, 112); /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - d += (c & M) * R; c >>= 52; - VERIFY_BITS(d, 115); - VERIFY_BITS(c, 60); - /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - t3 = d & M; d >>= 52; + secp256k1_u128_accum_mul(&d, R, secp256k1_u128_to_u64(&c)); secp256k1_u128_rshift(&c, 64); + VERIFY_BITS_128(&d, 115); + VERIFY_BITS_128(&c, 48); + /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + t3 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t3, 52); - VERIFY_BITS(d, 63); - /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + VERIFY_BITS_128(&d, 63); + /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - d += (uint128_t)a0 * b[4] - + (uint128_t)a1 * b[3] - + (uint128_t)a2 * b[2] - + (uint128_t)a3 * b[1] - + (uint128_t)a4 * b[0]; - VERIFY_BITS(d, 115); - /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - d += c * R; - VERIFY_BITS(d, 116); + secp256k1_u128_accum_mul(&d, a0, b[4]); + secp256k1_u128_accum_mul(&d, a1, b[3]); + secp256k1_u128_accum_mul(&d, a2, b[2]); + secp256k1_u128_accum_mul(&d, a3, b[1]); + secp256k1_u128_accum_mul(&d, a4, b[0]); + VERIFY_BITS_128(&d, 115); + /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + secp256k1_u128_accum_mul(&d, R << 12, secp256k1_u128_to_u64(&c)); + VERIFY_BITS_128(&d, 116); /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - t4 = d & M; d >>= 52; + t4 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t4, 52); - VERIFY_BITS(d, 64); + VERIFY_BITS_128(&d, 64); /* [d t4 t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ tx = (t4 >> 48); t4 &= (M >> 4); VERIFY_BITS(tx, 4); VERIFY_BITS(t4, 48); /* [d t4+(tx<<48) t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - c = (uint128_t)a0 * b[0]; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a0, b[0]); + VERIFY_BITS_128(&c, 112); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 0 p4 p3 0 0 p0] */ - d += (uint128_t)a1 * b[4] - + (uint128_t)a2 * b[3] - + (uint128_t)a3 * b[2] - + (uint128_t)a4 * b[1]; - VERIFY_BITS(d, 115); + secp256k1_u128_accum_mul(&d, a1, b[4]); + secp256k1_u128_accum_mul(&d, a2, b[3]); + secp256k1_u128_accum_mul(&d, a3, b[2]); + secp256k1_u128_accum_mul(&d, a4, b[1]); + VERIFY_BITS_128(&d, 114); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - u0 = d & M; d >>= 52; + u0 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(u0, 52); - VERIFY_BITS(d, 63); + VERIFY_BITS_128(&d, 62); /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ u0 = (u0 << 4) | tx; VERIFY_BITS(u0, 56); /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - c += (uint128_t)u0 * (R >> 4); - VERIFY_BITS(c, 115); + secp256k1_u128_accum_mul(&c, u0, R >> 4); + VERIFY_BITS_128(&c, 113); /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - r[0] = c & M; c >>= 52; + r[0] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[0], 52); - VERIFY_BITS(c, 61); + VERIFY_BITS_128(&c, 61); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 0 p0] */ - c += (uint128_t)a0 * b[1] - + (uint128_t)a1 * b[0]; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, b[1]); + secp256k1_u128_accum_mul(&c, a1, b[0]); + VERIFY_BITS_128(&c, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 p1 p0] */ - d += (uint128_t)a2 * b[4] - + (uint128_t)a3 * b[3] - + (uint128_t)a4 * b[2]; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a2, b[4]); + secp256k1_u128_accum_mul(&d, a3, b[3]); + secp256k1_u128_accum_mul(&d, a4, b[2]); + VERIFY_BITS_128(&d, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (d & M) * R; d >>= 52; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 62); + secp256k1_u128_accum_mul(&c, secp256k1_u128_to_u64(&d) & M, R); secp256k1_u128_rshift(&d, 52); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 62); /* [d 0 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - r[1] = c & M; c >>= 52; + r[1] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[1], 52); - VERIFY_BITS(c, 63); + VERIFY_BITS_128(&c, 63); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (uint128_t)a0 * b[2] - + (uint128_t)a1 * b[1] - + (uint128_t)a2 * b[0]; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, b[2]); + secp256k1_u128_accum_mul(&c, a1, b[1]); + secp256k1_u128_accum_mul(&c, a2, b[0]); + VERIFY_BITS_128(&c, 114); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 p2 p1 p0] */ - d += (uint128_t)a3 * b[4] - + (uint128_t)a4 * b[3]; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a3, b[4]); + secp256k1_u128_accum_mul(&d, a4, b[3]); + VERIFY_BITS_128(&d, 114); /* [d 0 0 t4 t3 c t1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += (d & M) * R; d >>= 52; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 62); - /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + secp256k1_u128_accum_mul(&c, R, secp256k1_u128_to_u64(&d)); secp256k1_u128_rshift(&d, 64); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 50); + /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[2] = c & M; c >>= 52; + r[2] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[2], 52); - VERIFY_BITS(c, 63); - /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += d * R + t3; - VERIFY_BITS(c, 100); + VERIFY_BITS_128(&c, 63); + /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + secp256k1_u128_accum_mul(&c, R << 12, secp256k1_u128_to_u64(&d)); + secp256k1_u128_accum_u64(&c, t3); + VERIFY_BITS_128(&c, 100); /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[3] = c & M; c >>= 52; + r[3] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[3], 52); - VERIFY_BITS(c, 48); + VERIFY_BITS_128(&c, 48); /* [t4+c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += t4; - VERIFY_BITS(c, 49); - /* [c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[4] = c; + r[4] = secp256k1_u128_to_u64(&c) + t4; VERIFY_BITS(r[4], 49); /* [r4 r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ } SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { - uint128_t c, d; + secp256k1_uint128 c, d; uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; - int64_t t3, t4, tx, u0; + uint64_t t3, t4, tx, u0; const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; VERIFY_BITS(a[0], 56); @@ -171,107 +168,105 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t * Note that [x 0 0 0 0 0] = [x*R]. */ - d = (uint128_t)(a0*2) * a3 - + (uint128_t)(a1*2) * a2; - VERIFY_BITS(d, 114); + secp256k1_u128_mul(&d, a0*2, a3); + secp256k1_u128_accum_mul(&d, a1*2, a2); + VERIFY_BITS_128(&d, 114); /* [d 0 0 0] = [p3 0 0 0] */ - c = (uint128_t)a4 * a4; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a4, a4); + VERIFY_BITS_128(&c, 112); /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - d += (c & M) * R; c >>= 52; - VERIFY_BITS(d, 115); - VERIFY_BITS(c, 60); - /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - t3 = d & M; d >>= 52; + secp256k1_u128_accum_mul(&d, R, secp256k1_u128_to_u64(&c)); secp256k1_u128_rshift(&c, 64); + VERIFY_BITS_128(&d, 115); + VERIFY_BITS_128(&c, 48); + /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + t3 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t3, 52); - VERIFY_BITS(d, 63); - /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + VERIFY_BITS_128(&d, 63); + /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ a4 *= 2; - d += (uint128_t)a0 * a4 - + (uint128_t)(a1*2) * a3 - + (uint128_t)a2 * a2; - VERIFY_BITS(d, 115); - /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - d += c * R; - VERIFY_BITS(d, 116); + secp256k1_u128_accum_mul(&d, a0, a4); + secp256k1_u128_accum_mul(&d, a1*2, a3); + secp256k1_u128_accum_mul(&d, a2, a2); + VERIFY_BITS_128(&d, 115); + /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + secp256k1_u128_accum_mul(&d, R << 12, secp256k1_u128_to_u64(&c)); + VERIFY_BITS_128(&d, 116); /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - t4 = d & M; d >>= 52; + t4 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t4, 52); - VERIFY_BITS(d, 64); + VERIFY_BITS_128(&d, 64); /* [d t4 t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ tx = (t4 >> 48); t4 &= (M >> 4); VERIFY_BITS(tx, 4); VERIFY_BITS(t4, 48); /* [d t4+(tx<<48) t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - c = (uint128_t)a0 * a0; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a0, a0); + VERIFY_BITS_128(&c, 112); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 0 p4 p3 0 0 p0] */ - d += (uint128_t)a1 * a4 - + (uint128_t)(a2*2) * a3; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a1, a4); + secp256k1_u128_accum_mul(&d, a2*2, a3); + VERIFY_BITS_128(&d, 114); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - u0 = d & M; d >>= 52; + u0 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(u0, 52); - VERIFY_BITS(d, 62); + VERIFY_BITS_128(&d, 62); /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ u0 = (u0 << 4) | tx; VERIFY_BITS(u0, 56); /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - c += (uint128_t)u0 * (R >> 4); - VERIFY_BITS(c, 113); + secp256k1_u128_accum_mul(&c, u0, R >> 4); + VERIFY_BITS_128(&c, 113); /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - r[0] = c & M; c >>= 52; + r[0] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[0], 52); - VERIFY_BITS(c, 61); + VERIFY_BITS_128(&c, 61); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 0 p0] */ a0 *= 2; - c += (uint128_t)a0 * a1; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, a1); + VERIFY_BITS_128(&c, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 p1 p0] */ - d += (uint128_t)a2 * a4 - + (uint128_t)a3 * a3; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a2, a4); + secp256k1_u128_accum_mul(&d, a3, a3); + VERIFY_BITS_128(&d, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (d & M) * R; d >>= 52; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 62); + secp256k1_u128_accum_mul(&c, secp256k1_u128_to_u64(&d) & M, R); secp256k1_u128_rshift(&d, 52); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 62); /* [d 0 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - r[1] = c & M; c >>= 52; + r[1] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[1], 52); - VERIFY_BITS(c, 63); + VERIFY_BITS_128(&c, 63); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (uint128_t)a0 * a2 - + (uint128_t)a1 * a1; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, a2); + secp256k1_u128_accum_mul(&c, a1, a1); + VERIFY_BITS_128(&c, 114); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 p2 p1 p0] */ - d += (uint128_t)a3 * a4; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a3, a4); + VERIFY_BITS_128(&d, 114); /* [d 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += (d & M) * R; d >>= 52; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 62); - /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[2] = c & M; c >>= 52; + secp256k1_u128_accum_mul(&c, R, secp256k1_u128_to_u64(&d)); secp256k1_u128_rshift(&d, 64); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 50); + /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[2] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[2], 52); - VERIFY_BITS(c, 63); - /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + VERIFY_BITS_128(&c, 63); + /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += d * R + t3; - VERIFY_BITS(c, 100); + secp256k1_u128_accum_mul(&c, R << 12, secp256k1_u128_to_u64(&d)); + secp256k1_u128_accum_u64(&c, t3); + VERIFY_BITS_128(&c, 100); /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[3] = c & M; c >>= 52; + r[3] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[3], 52); - VERIFY_BITS(c, 48); + VERIFY_BITS_128(&c, 48); /* [t4+c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += t4; - VERIFY_BITS(c, 49); - /* [c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[4] = c; + r[4] = secp256k1_u128_to_u64(&c) + t4; VERIFY_BITS(r[4], 49); /* [r4 r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ } diff --git a/src/secp256k1/src/field_impl.h b/src/secp256k1/src/field_impl.h index 6070cacc..896507a3 100644 --- a/src/secp256k1/src/field_impl.h +++ b/src/secp256k1/src/field_impl.h @@ -1,42 +1,40 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_FIELD_IMPL_H #define SECP256K1_FIELD_IMPL_H -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif - +#include "field.h" #include "util.h" -#include "num.h" -#if defined(USE_FIELD_10X26) -#include "field_10x26_impl.h" -#elif defined(USE_FIELD_5X52) +#if defined(SECP256K1_WIDEMUL_INT128) #include "field_5x52_impl.h" +#elif defined(SECP256K1_WIDEMUL_INT64) +#include "field_10x26_impl.h" #else -#error "Please select field implementation" +#error "Please select wide multiplication implementation" #endif -SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { - secp256k1_fe na; - secp256k1_fe_negate(&na, a, 1); - secp256k1_fe_add(&na, b); - return secp256k1_fe_normalizes_to_zero(&na); +SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { + secp256k1_memclear(a, sizeof(secp256k1_fe)); } -SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b) { +SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { secp256k1_fe na; + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(b); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 1); + SECP256K1_FE_VERIFY_MAGNITUDE(b, 31); + secp256k1_fe_negate(&na, a, 1); secp256k1_fe_add(&na, b); - return secp256k1_fe_normalizes_to_zero_var(&na); + return secp256k1_fe_normalizes_to_zero(&na); } -static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { +static int secp256k1_fe_sqrt(secp256k1_fe * SECP256K1_RESTRICT r, const secp256k1_fe * SECP256K1_RESTRICT a) { /** Given that p is congruent to 3 mod 4, we can compute the square root of * a mod p as the (p+1)/4'th power of a. * @@ -47,9 +45,11 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { * itself always a square (a ** ((p+1)/4) is the square of a ** ((p+1)/8)). */ secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; - int j; + int j, ret; VERIFY_CHECK(r != a); + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 8); /** The binary representation of (p + 1)/4 has 3 blocks of 1s, with lengths in * { 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each block: @@ -133,186 +133,325 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { /* Check that a square root was actually calculated */ secp256k1_fe_sqr(&t1, r); - return secp256k1_fe_equal(&t1, a); + ret = secp256k1_fe_equal(&t1, a); + +#ifdef VERIFY + if (!ret) { + secp256k1_fe_negate(&t1, &t1, 1); + secp256k1_fe_normalize_var(&t1); + VERIFY_CHECK(secp256k1_fe_equal(&t1, a)); + } +#endif + return ret; } -static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a) { - secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; - int j; +#ifndef VERIFY +static void secp256k1_fe_verify(const secp256k1_fe *a) { (void)a; } +static void secp256k1_fe_verify_magnitude(const secp256k1_fe *a, int m) { (void)a; (void)m; } +#else +static void secp256k1_fe_impl_verify(const secp256k1_fe *a); +static void secp256k1_fe_verify(const secp256k1_fe *a) { + /* Magnitude between 0 and 32. */ + SECP256K1_FE_VERIFY_MAGNITUDE(a, 32); + /* Normalized is 0 or 1. */ + VERIFY_CHECK((a->normalized == 0) || (a->normalized == 1)); + /* If normalized, magnitude must be 0 or 1. */ + if (a->normalized) SECP256K1_FE_VERIFY_MAGNITUDE(a, 1); + /* Invoke implementation-specific checks. */ + secp256k1_fe_impl_verify(a); +} - /** The binary representation of (p - 2) has 5 blocks of 1s, with lengths in - * { 1, 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each block: - * [1], [2], 3, 6, 9, 11, [22], 44, 88, 176, 220, [223] - */ +static void secp256k1_fe_verify_magnitude(const secp256k1_fe *a, int m) { + VERIFY_CHECK(m >= 0); + VERIFY_CHECK(m <= 32); + VERIFY_CHECK(a->magnitude <= m); +} - secp256k1_fe_sqr(&x2, a); - secp256k1_fe_mul(&x2, &x2, a); +static void secp256k1_fe_impl_normalize(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_normalize(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); - secp256k1_fe_sqr(&x3, &x2); - secp256k1_fe_mul(&x3, &x3, a); + secp256k1_fe_impl_normalize(r); + r->magnitude = 1; + r->normalized = 1; - x6 = x3; - for (j=0; j<3; j++) { - secp256k1_fe_sqr(&x6, &x6); - } - secp256k1_fe_mul(&x6, &x6, &x3); + SECP256K1_FE_VERIFY(r); +} - x9 = x6; - for (j=0; j<3; j++) { - secp256k1_fe_sqr(&x9, &x9); - } - secp256k1_fe_mul(&x9, &x9, &x3); +static void secp256k1_fe_impl_normalize_weak(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); - x11 = x9; - for (j=0; j<2; j++) { - secp256k1_fe_sqr(&x11, &x11); - } - secp256k1_fe_mul(&x11, &x11, &x2); + secp256k1_fe_impl_normalize_weak(r); + r->magnitude = 1; - x22 = x11; - for (j=0; j<11; j++) { - secp256k1_fe_sqr(&x22, &x22); - } - secp256k1_fe_mul(&x22, &x22, &x11); + SECP256K1_FE_VERIFY(r); +} - x44 = x22; - for (j=0; j<22; j++) { - secp256k1_fe_sqr(&x44, &x44); - } - secp256k1_fe_mul(&x44, &x44, &x22); +static void secp256k1_fe_impl_normalize_var(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_normalize_var(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); - x88 = x44; - for (j=0; j<44; j++) { - secp256k1_fe_sqr(&x88, &x88); - } - secp256k1_fe_mul(&x88, &x88, &x44); + secp256k1_fe_impl_normalize_var(r); + r->magnitude = 1; + r->normalized = 1; - x176 = x88; - for (j=0; j<88; j++) { - secp256k1_fe_sqr(&x176, &x176); - } - secp256k1_fe_mul(&x176, &x176, &x88); + SECP256K1_FE_VERIFY(r); +} - x220 = x176; - for (j=0; j<44; j++) { - secp256k1_fe_sqr(&x220, &x220); - } - secp256k1_fe_mul(&x220, &x220, &x44); +static int secp256k1_fe_impl_normalizes_to_zero(const secp256k1_fe *r); +SECP256K1_INLINE static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); - x223 = x220; - for (j=0; j<3; j++) { - secp256k1_fe_sqr(&x223, &x223); - } - secp256k1_fe_mul(&x223, &x223, &x3); + return secp256k1_fe_impl_normalizes_to_zero(r); +} - /* The final result is then assembled using a sliding window over the blocks. */ +static int secp256k1_fe_impl_normalizes_to_zero_var(const secp256k1_fe *r); +SECP256K1_INLINE static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); - t1 = x223; - for (j=0; j<23; j++) { - secp256k1_fe_sqr(&t1, &t1); - } - secp256k1_fe_mul(&t1, &t1, &x22); - for (j=0; j<5; j++) { - secp256k1_fe_sqr(&t1, &t1); - } - secp256k1_fe_mul(&t1, &t1, a); - for (j=0; j<3; j++) { - secp256k1_fe_sqr(&t1, &t1); - } - secp256k1_fe_mul(&t1, &t1, &x2); - for (j=0; j<2; j++) { - secp256k1_fe_sqr(&t1, &t1); - } - secp256k1_fe_mul(r, a, &t1); + return secp256k1_fe_impl_normalizes_to_zero_var(r); } -static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) { -#if defined(USE_FIELD_INV_BUILTIN) - secp256k1_fe_inv(r, a); -#elif defined(USE_FIELD_INV_NUM) - secp256k1_num n, m; - static const secp256k1_fe negone = SECP256K1_FE_CONST( - 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, - 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, 0xFFFFFC2EUL - ); - /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ - static const unsigned char prime[32] = { - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F - }; - unsigned char b[32]; - int res; - secp256k1_fe c = *a; - secp256k1_fe_normalize_var(&c); - secp256k1_fe_get_b32(b, &c); - secp256k1_num_set_bin(&n, b, 32); - secp256k1_num_set_bin(&m, prime, 32); - secp256k1_num_mod_inverse(&n, &n, &m); - secp256k1_num_get_bin(b, 32, &n); - res = secp256k1_fe_set_b32(r, b); - (void)res; - VERIFY_CHECK(res); - /* Verify the result is the (unique) valid inverse using non-GMP code. */ - secp256k1_fe_mul(&c, &c, r); - secp256k1_fe_add(&c, &negone); - CHECK(secp256k1_fe_normalizes_to_zero_var(&c)); -#else -#error "Please select field inverse implementation" -#endif +static void secp256k1_fe_impl_set_int(secp256k1_fe *r, int a); +SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { + VERIFY_CHECK(0 <= a && a <= 0x7FFF); + + secp256k1_fe_impl_set_int(r, a); + r->magnitude = (a != 0); + r->normalized = 1; + + SECP256K1_FE_VERIFY(r); } -static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len) { - secp256k1_fe u; - size_t i; - if (len < 1) { - return; - } +static void secp256k1_fe_impl_add_int(secp256k1_fe *r, int a); +SECP256K1_INLINE static void secp256k1_fe_add_int(secp256k1_fe *r, int a) { + VERIFY_CHECK(0 <= a && a <= 0x7FFF); + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_add_int(r, a); + r->magnitude += 1; + r->normalized = 0; - VERIFY_CHECK((r + len <= a) || (a + len <= r)); + SECP256K1_FE_VERIFY(r); +} - r[0] = a[0]; +static int secp256k1_fe_impl_is_zero(const secp256k1_fe *a); +SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); - i = 0; - while (++i < len) { - secp256k1_fe_mul(&r[i], &r[i - 1], &a[i]); - } + return secp256k1_fe_impl_is_zero(a); +} - secp256k1_fe_inv_var(&u, &r[--i]); +static int secp256k1_fe_impl_is_odd(const secp256k1_fe *a); +SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); + + return secp256k1_fe_impl_is_odd(a); +} - while (i > 0) { - size_t j = i--; - secp256k1_fe_mul(&r[j], &r[i], &u); - secp256k1_fe_mul(&u, &u, &a[j]); +static int secp256k1_fe_impl_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b); +SECP256K1_INLINE static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(b); + VERIFY_CHECK(a->normalized); + VERIFY_CHECK(b->normalized); + + return secp256k1_fe_impl_cmp_var(a, b); +} + +static void secp256k1_fe_impl_set_b32_mod(secp256k1_fe *r, const unsigned char *a); +SECP256K1_INLINE static void secp256k1_fe_set_b32_mod(secp256k1_fe *r, const unsigned char *a) { + secp256k1_fe_impl_set_b32_mod(r, a); + r->magnitude = 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static int secp256k1_fe_impl_set_b32_limit(secp256k1_fe *r, const unsigned char *a); +SECP256K1_INLINE static int secp256k1_fe_set_b32_limit(secp256k1_fe *r, const unsigned char *a) { + if (secp256k1_fe_impl_set_b32_limit(r, a)) { + r->magnitude = 1; + r->normalized = 1; + SECP256K1_FE_VERIFY(r); + return 1; + } else { + /* Mark the output field element as invalid. */ + r->magnitude = -1; + return 0; } +} + +static void secp256k1_fe_impl_get_b32(unsigned char *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); - r[0] = u; + secp256k1_fe_impl_get_b32(r, a); } -static int secp256k1_fe_is_quad_var(const secp256k1_fe *a) { -#ifndef USE_NUM_NONE - unsigned char b[32]; - secp256k1_num n; - secp256k1_num m; - /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ - static const unsigned char prime[32] = { - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F - }; - - secp256k1_fe c = *a; - secp256k1_fe_normalize_var(&c); - secp256k1_fe_get_b32(b, &c); - secp256k1_num_set_bin(&n, b, 32); - secp256k1_num_set_bin(&m, prime, 32); - return secp256k1_num_jacobi(&n, &m) >= 0; -#else - secp256k1_fe r; - return secp256k1_fe_sqrt(&r, a); -#endif +static void secp256k1_fe_impl_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m); +SECP256K1_INLINE static void secp256k1_fe_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(m >= 0 && m <= 31); + SECP256K1_FE_VERIFY_MAGNITUDE(a, m); + + secp256k1_fe_impl_negate_unchecked(r, a, m); + r->magnitude = m + 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_mul_int_unchecked(secp256k1_fe *r, int a); +SECP256K1_INLINE static void secp256k1_fe_mul_int_unchecked(secp256k1_fe *r, int a) { + SECP256K1_FE_VERIFY(r); + + VERIFY_CHECK(a >= 0 && a <= 32); + VERIFY_CHECK(a*r->magnitude <= 32); + secp256k1_fe_impl_mul_int_unchecked(r, a); + r->magnitude *= a; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_add(secp256k1_fe *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(r); + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(r->magnitude + a->magnitude <= 32); + + secp256k1_fe_impl_add(r, a); + r->magnitude += a->magnitude; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b); +SECP256K1_INLINE static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(b); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 8); + SECP256K1_FE_VERIFY_MAGNITUDE(b, 8); + VERIFY_CHECK(r != b); + VERIFY_CHECK(a != b); + + secp256k1_fe_impl_mul(r, a, b); + r->magnitude = 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_sqr(secp256k1_fe *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 8); + + secp256k1_fe_impl_sqr(r, a); + r->magnitude = 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag); +SECP256K1_INLINE static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { + VERIFY_CHECK(flag == 0 || flag == 1); + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_cmov(r, a, flag); + if (a->magnitude > r->magnitude) r->magnitude = a->magnitude; + if (!a->normalized) r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); + + secp256k1_fe_impl_to_storage(r, a); } +static void secp256k1_fe_impl_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a); +SECP256K1_INLINE static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { + secp256k1_fe_impl_from_storage(r, a); + r->magnitude = 1; + r->normalized = 1; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_inv(secp256k1_fe *r, const secp256k1_fe *x); +SECP256K1_INLINE static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) { + int input_is_zero = secp256k1_fe_normalizes_to_zero(x); + SECP256K1_FE_VERIFY(x); + + secp256k1_fe_impl_inv(r, x); + r->magnitude = x->magnitude > 0; + r->normalized = 1; + + VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == input_is_zero); + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_inv_var(secp256k1_fe *r, const secp256k1_fe *x); +SECP256K1_INLINE static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + int input_is_zero = secp256k1_fe_normalizes_to_zero(x); + SECP256K1_FE_VERIFY(x); + + secp256k1_fe_impl_inv_var(r, x); + r->magnitude = x->magnitude > 0; + r->normalized = 1; + + VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == input_is_zero); + SECP256K1_FE_VERIFY(r); +} + +static int secp256k1_fe_impl_is_square_var(const secp256k1_fe *x); +SECP256K1_INLINE static int secp256k1_fe_is_square_var(const secp256k1_fe *x) { + int ret; + secp256k1_fe tmp = *x, sqrt; + SECP256K1_FE_VERIFY(x); + + ret = secp256k1_fe_impl_is_square_var(x); + secp256k1_fe_normalize_weak(&tmp); + VERIFY_CHECK(ret == secp256k1_fe_sqrt(&sqrt, &tmp)); + return ret; +} + +static void secp256k1_fe_impl_get_bounds(secp256k1_fe* r, int m); +SECP256K1_INLINE static void secp256k1_fe_get_bounds(secp256k1_fe* r, int m) { + VERIFY_CHECK(m >= 0); + VERIFY_CHECK(m <= 32); + + secp256k1_fe_impl_get_bounds(r, m); + r->magnitude = m; + r->normalized = (m == 0); + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_half(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_half(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + SECP256K1_FE_VERIFY_MAGNITUDE(r, 31); + + secp256k1_fe_impl_half(r); + r->magnitude = (r->magnitude >> 1) + 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +#endif /* defined(VERIFY) */ + #endif /* SECP256K1_FIELD_IMPL_H */ diff --git a/src/secp256k1/src/gen_context.c b/src/secp256k1/src/gen_context.c deleted file mode 100644 index 0683830e..00000000 --- a/src/secp256k1/src/gen_context.c +++ /dev/null @@ -1,87 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014, 2015 Thomas Daede, Cory Fields * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -/* Autotools creates libsecp256k1-config.h, of which ECMULT_GEN_PREC_BITS is needed. */ -/* ifndef guard so downstream users can define their own if they do not use autotools. */ -#if !defined(ECMULT_GEN_PREC_BITS) -#include "libsecp256k1-config.h" -#endif -#define USE_BASIC_CONFIG 1 -#include "basic-config.h" - -#include "include/secp256k1.h" -#include "util.h" -#include "field_impl.h" -#include "scalar_impl.h" -#include "group_impl.h" -#include "ecmult_gen_impl.h" - -static void default_error_callback_fn(const char* str, void* data) { - (void)data; - fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str); - abort(); -} - -static const secp256k1_callback default_error_callback = { - default_error_callback_fn, - NULL -}; - -int main(int argc, char **argv) { - secp256k1_ecmult_gen_context ctx; - void *prealloc, *base; - int inner; - int outer; - FILE* fp; - - (void)argc; - (void)argv; - - fp = fopen("src/ecmult_static_context.h","w"); - if (fp == NULL) { - fprintf(stderr, "Could not open src/ecmult_static_context.h for writing!\n"); - return -1; - } - - fprintf(fp, "#ifndef _SECP256K1_ECMULT_STATIC_CONTEXT_\n"); - fprintf(fp, "#define _SECP256K1_ECMULT_STATIC_CONTEXT_\n"); - fprintf(fp, "#include \"src/group.h\"\n"); - fprintf(fp, "#define SC SECP256K1_GE_STORAGE_CONST\n"); - fprintf(fp, "#if ECMULT_GEN_PREC_N != %d || ECMULT_GEN_PREC_G != %d\n", ECMULT_GEN_PREC_N, ECMULT_GEN_PREC_G); - fprintf(fp, " #error configuration mismatch, invalid ECMULT_GEN_PREC_N, ECMULT_GEN_PREC_G. Try deleting ecmult_static_context.h before the build.\n"); - fprintf(fp, "#endif\n"); - fprintf(fp, "static const secp256k1_ge_storage secp256k1_ecmult_static_context[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G] = {\n"); - - base = checked_malloc(&default_error_callback, SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE); - prealloc = base; - secp256k1_ecmult_gen_context_init(&ctx); - secp256k1_ecmult_gen_context_build(&ctx, &prealloc); - for(outer = 0; outer != ECMULT_GEN_PREC_N; outer++) { - fprintf(fp,"{\n"); - for(inner = 0; inner != ECMULT_GEN_PREC_G; inner++) { - fprintf(fp," SC(%uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu)", SECP256K1_GE_STORAGE_CONST_GET((*ctx.prec)[outer][inner])); - if (inner != ECMULT_GEN_PREC_G - 1) { - fprintf(fp,",\n"); - } else { - fprintf(fp,"\n"); - } - } - if (outer != ECMULT_GEN_PREC_N - 1) { - fprintf(fp,"},\n"); - } else { - fprintf(fp,"}\n"); - } - } - fprintf(fp,"};\n"); - secp256k1_ecmult_gen_context_clear(&ctx); - free(base); - - fprintf(fp, "#undef SC\n"); - fprintf(fp, "#endif\n"); - fclose(fp); - - return 0; -} diff --git a/src/secp256k1/src/group.h b/src/secp256k1/src/group.h index ded4e1da..992ff5c9 100644 --- a/src/secp256k1/src/group.h +++ b/src/secp256k1/src/group.h @@ -1,16 +1,18 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_GROUP_H #define SECP256K1_GROUP_H -#include "num.h" #include "field.h" -/** A group element of the secp256k1 curve, in affine coordinates. */ +/** A group element in affine coordinates on the secp256k1 curve, + * or occasionally on an isomorphic curve of the form y^2 = x^3 + 7*t^6. + * Note: For exhaustive test mode, secp256k1 is replaced by a small subgroup of a different curve. + */ typedef struct { secp256k1_fe x; secp256k1_fe y; @@ -20,7 +22,9 @@ typedef struct { #define SECP256K1_GE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_CONST((i),(j),(k),(l),(m),(n),(o),(p)), 0} #define SECP256K1_GE_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1} -/** A group element of the secp256k1 curve, in jacobian coordinates. */ +/** A group element of the secp256k1 curve, in jacobian coordinates. + * Note: For exhastive test mode, secp256k1 is replaced by a small subgroup of a different curve. + */ typedef struct { secp256k1_fe x; /* actual X: x/z^2 */ secp256k1_fe y; /* actual Y: y/z^3 */ @@ -40,39 +44,66 @@ typedef struct { #define SECP256K1_GE_STORAGE_CONST_GET(t) SECP256K1_FE_STORAGE_CONST_GET(t.x), SECP256K1_FE_STORAGE_CONST_GET(t.y) +/** Maximum allowed magnitudes for group element coordinates + * in affine (x, y) and jacobian (x, y, z) representation. */ +#define SECP256K1_GE_X_MAGNITUDE_MAX 4 +#define SECP256K1_GE_Y_MAGNITUDE_MAX 3 +#define SECP256K1_GEJ_X_MAGNITUDE_MAX 4 +#define SECP256K1_GEJ_Y_MAGNITUDE_MAX 4 +#define SECP256K1_GEJ_Z_MAGNITUDE_MAX 1 + /** Set a group element equal to the point with given X and Y coordinates */ static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y); -/** Set a group element (affine) equal to the point with the given X coordinate - * and a Y coordinate that is a quadratic residue modulo p. The return value - * is true iff a coordinate with the given X coordinate exists. - */ -static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x); - /** Set a group element (affine) equal to the point with the given X coordinate, and given oddness * for Y. Return value indicates whether the result is valid. */ static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd); +/** Determine whether x is a valid X coordinate on the curve. */ +static int secp256k1_ge_x_on_curve_var(const secp256k1_fe *x); + +/** Determine whether fraction xn/xd is a valid X coordinate on the curve (xd != 0). */ +static int secp256k1_ge_x_frac_on_curve_var(const secp256k1_fe *xn, const secp256k1_fe *xd); + /** Check whether a group element is the point at infinity. */ static int secp256k1_ge_is_infinity(const secp256k1_ge *a); /** Check whether a group element is valid (i.e., on the curve). */ static int secp256k1_ge_is_valid_var(const secp256k1_ge *a); +/** Set r equal to the inverse of a (i.e., mirrored around the X axis) */ static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a); -/** Set a group element equal to another which is given in jacobian coordinates */ +/** Set a group element equal to another which is given in jacobian coordinates. Constant time. */ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a); +/** Set a group element equal to another which is given in jacobian coordinates. */ +static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a); + /** Set a batch of group elements equal to the inputs given in jacobian coordinates */ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len); -/** Bring a batch inputs given in jacobian coordinates (with known z-ratios) to - * the same global z "denominator". zr must contain the known z-ratios such - * that mul(a[i].z, zr[i+1]) == a[i+1].z. zr[0] is ignored. The x and y - * coordinates of the result are stored in r, the common z coordinate is - * stored in globalz. */ -static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr); +/** Bring a batch of inputs to the same global z "denominator", based on ratios between + * (omitted) z coordinates of adjacent elements. + * + * Although the elements a[i] are _ge rather than _gej, they actually represent elements + * in Jacobian coordinates with their z coordinates omitted. + * + * Using the notation z(b) to represent the omitted z coordinate of b, the array zr of + * z coordinate ratios must satisfy zr[i] == z(a[i]) / z(a[i-1]) for 0 < 'i' < len. + * The zr[0] value is unused. + * + * This function adjusts the coordinates of 'a' in place so that for all 'i', z(a[i]) == z(a[len-1]). + * In other words, the initial value of z(a[len-1]) becomes the global z "denominator". Only the + * a[i].x and a[i].y coordinates are explicitly modified; the adjustment of the omitted z coordinate is + * implicit. + * + * The coordinates of the final element a[len-1] are not changed. + */ +static void secp256k1_ge_table_set_globalz(size_t len, secp256k1_ge *a, const secp256k1_fe *zr); + +/** Check two group elements (affine) for equality in variable time. */ +static int secp256k1_ge_eq_var(const secp256k1_ge *a, const secp256k1_ge *b); /** Set a group element (affine) equal to the point at infinity. */ static void secp256k1_ge_set_infinity(secp256k1_ge *r); @@ -83,7 +114,14 @@ static void secp256k1_gej_set_infinity(secp256k1_gej *r); /** Set a group element (jacobian) equal to another which is given in affine coordinates. */ static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a); -/** Compare the X coordinate of a group element (jacobian). */ +/** Check two group elements (jacobian) for equality in variable time. */ +static int secp256k1_gej_eq_var(const secp256k1_gej *a, const secp256k1_gej *b); + +/** Check two group elements (jacobian and affine) for equality in variable time. */ +static int secp256k1_gej_eq_ge_var(const secp256k1_gej *a, const secp256k1_ge *b); + +/** Compare the X coordinate of a group element (jacobian). + * The magnitude of the group element's X coordinate must not exceed 31. */ static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a); /** Set r equal to the inverse of a (i.e., mirrored around the X axis) */ @@ -92,11 +130,8 @@ static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a); /** Check whether a group element is the point at infinity. */ static int secp256k1_gej_is_infinity(const secp256k1_gej *a); -/** Check whether a group element's y coordinate is a quadratic residue. */ -static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a); - -/** Set r equal to the double of a, a cannot be infinity. Constant time. */ -static void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a); +/** Set r equal to the double of a. Constant time. */ +static void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a); /** Set r equal to the double of a. If rzr is not-NULL this sets *rzr such that r->z == a->z * *rzr (where infinity means an implicit z = 0). */ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr); @@ -115,10 +150,8 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c /** Set r equal to the sum of a and b (with the inverse of b's Z coordinate passed as bzinv). */ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv); -#ifdef USE_ENDOMORPHISM /** Set r to be equal to lambda times a, where lambda is chosen in a way such that this is very fast. */ static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a); -#endif /** Clear a secp256k1_gej to prevent leaking sensitive information. */ static void secp256k1_gej_clear(secp256k1_gej *r); @@ -132,10 +165,48 @@ static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge /** Convert a group element back from the storage type. */ static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a); -/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */ +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ +static void secp256k1_gej_cmov(secp256k1_gej *r, const secp256k1_gej *a, int flag); + +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ static void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag); /** Rescale a jacobian point by b which must be non-zero. Constant-time. */ static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *b); +/** Convert a group element that is not infinity to a 64-byte array. The output + * array is platform-dependent. */ +static void secp256k1_ge_to_bytes(unsigned char *buf, const secp256k1_ge *a); + +/** Convert a 64-byte array into group element. This function assumes that the + * provided buffer correctly encodes a group element. */ +static void secp256k1_ge_from_bytes(secp256k1_ge *r, const unsigned char *buf); + +/** Convert a group element (that is allowed to be infinity) to a 64-byte + * array. The output array is platform-dependent. */ +static void secp256k1_ge_to_bytes_ext(unsigned char *data, const secp256k1_ge *ge); + +/** Convert a 64-byte array into a group element. This function assumes that the + * provided buffer is the output of secp256k1_ge_to_bytes_ext. */ +static void secp256k1_ge_from_bytes_ext(secp256k1_ge *ge, const unsigned char *data); + +/** Determine if a point (which is assumed to be on the curve) is in the correct (sub)group of the curve. + * + * In normal mode, the used group is secp256k1, which has cofactor=1 meaning that every point on the curve is in the + * group, and this function returns always true. + * + * When compiling in exhaustive test mode, a slightly different curve equation is used, leading to a group with a + * (very) small subgroup, and that subgroup is what is used for all cryptographic operations. In that mode, this + * function checks whether a point that is on the curve is in fact also in that subgroup. + */ +static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge); + +/** Check invariants on an affine group element (no-op unless VERIFY is enabled). */ +static void secp256k1_ge_verify(const secp256k1_ge *a); +#define SECP256K1_GE_VERIFY(a) secp256k1_ge_verify(a) + +/** Check invariants on a Jacobian group element (no-op unless VERIFY is enabled). */ +static void secp256k1_gej_verify(const secp256k1_gej *a); +#define SECP256K1_GEJ_VERIFY(a) secp256k1_gej_verify(a) + #endif /* SECP256K1_GROUP_H */ diff --git a/src/secp256k1/src/group_impl.h b/src/secp256k1/src/group_impl.h index 43b039be..c668fb24 100644 --- a/src/secp256k1/src/group_impl.h +++ b/src/secp256k1/src/group_impl.h @@ -1,104 +1,165 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_GROUP_IMPL_H #define SECP256K1_GROUP_IMPL_H -#include "num.h" +#include + #include "field.h" #include "group.h" - -/* These points can be generated in sage as follows: - * - * 0. Setup a worksheet with the following parameters. - * b = 4 # whatever CURVE_B will be set to - * F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F) - * C = EllipticCurve ([F (0), F (b)]) - * - * 1. Determine all the small orders available to you. (If there are - * no satisfactory ones, go back and change b.) - * print C.order().factor(limit=1000) - * - * 2. Choose an order as one of the prime factors listed in the above step. - * (You can also multiply some to get a composite order, though the - * tests will crash trying to invert scalars during signing.) We take a - * random point and scale it to drop its order to the desired value. - * There is some probability this won't work; just try again. - * order = 199 - * P = C.random_point() - * P = (int(P.order()) / int(order)) * P - * assert(P.order() == order) - * - * 3. Print the values. You'll need to use a vim macro or something to - * split the hex output into 4-byte chunks. - * print "%x %x" % P.xy() +#include "util.h" + +/* Begin of section generated by sage/gen_exhaustive_groups.sage. */ +#define SECP256K1_G_ORDER_7 SECP256K1_GE_CONST(\ + 0x66625d13, 0x317ffe44, 0x63d32cff, 0x1ca02b9b,\ + 0xe5c6d070, 0x50b4b05e, 0x81cc30db, 0xf5166f0a,\ + 0x1e60e897, 0xa7c00c7c, 0x2df53eb6, 0x98274ff4,\ + 0x64252f42, 0x8ca44e17, 0x3b25418c, 0xff4ab0cf\ +) +#define SECP256K1_G_ORDER_13 SECP256K1_GE_CONST(\ + 0xa2482ff8, 0x4bf34edf, 0xa51262fd, 0xe57921db,\ + 0xe0dd2cb7, 0xa5914790, 0xbc71631f, 0xc09704fb,\ + 0x942536cb, 0xa3e49492, 0x3a701cc3, 0xee3e443f,\ + 0xdf182aa9, 0x15b8aa6a, 0x166d3b19, 0xba84b045\ +) +#define SECP256K1_G_ORDER_199 SECP256K1_GE_CONST(\ + 0x7fb07b5c, 0xd07c3bda, 0x553902e2, 0x7a87ea2c,\ + 0x35108a7f, 0x051f41e5, 0xb76abad5, 0x1f2703ad,\ + 0x0a251539, 0x5b4c4438, 0x952a634f, 0xac10dd4d,\ + 0x6d6f4745, 0x98990c27, 0x3a4f3116, 0xd32ff969\ +) +/** Generator for secp256k1, value 'g' defined in + * "Standards for Efficient Cryptography" (SEC2) 2.7.1. + */ +#define SECP256K1_G SECP256K1_GE_CONST(\ + 0x79be667e, 0xf9dcbbac, 0x55a06295, 0xce870b07,\ + 0x029bfcdb, 0x2dce28d9, 0x59f2815b, 0x16f81798,\ + 0x483ada77, 0x26a3c465, 0x5da4fbfc, 0x0e1108a8,\ + 0xfd17b448, 0xa6855419, 0x9c47d08f, 0xfb10d4b8\ +) +/* These exhaustive group test orders and generators are chosen such that: + * - The field size is equal to that of secp256k1, so field code is the same. + * - The curve equation is of the form y^2=x^3+B for some small constant B. + * - The subgroup has a generator 2*P, where P.x is as small as possible. + * - The subgroup has size less than 1000 to permit exhaustive testing. + * - The subgroup admits an endomorphism of the form lambda*(x,y) == (beta*x,y). */ #if defined(EXHAUSTIVE_TEST_ORDER) -# if EXHAUSTIVE_TEST_ORDER == 199 -static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( - 0xFA7CC9A7, 0x0737F2DB, 0xA749DD39, 0x2B4FB069, - 0x3B017A7D, 0xA808C2F1, 0xFB12940C, 0x9EA66C18, - 0x78AC123A, 0x5ED8AEF3, 0x8732BC91, 0x1F3A2868, - 0x48DF246C, 0x808DAE72, 0xCFE52572, 0x7F0501ED -); - -static const int CURVE_B = 4; +# if EXHAUSTIVE_TEST_ORDER == 7 + +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_7; +#define SECP256K1_B 6 + # elif EXHAUSTIVE_TEST_ORDER == 13 -static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( - 0xedc60018, 0xa51a786b, 0x2ea91f4d, 0x4c9416c0, - 0x9de54c3b, 0xa1316554, 0x6cf4345c, 0x7277ef15, - 0x54cb1b6b, 0xdc8c1273, 0x087844ea, 0x43f4603e, - 0x0eaf9a43, 0xf6effe55, 0x939f806d, 0x37adf8ac -); -static const int CURVE_B = 2; + +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_13; +#define SECP256K1_B 2 + +# elif EXHAUSTIVE_TEST_ORDER == 199 + +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_199; +#define SECP256K1_B 4 + # else # error No known generator for the specified exhaustive test group order. # endif #else -/** Generator for secp256k1, value 'g' defined in - * "Standards for Efficient Cryptography" (SEC2) 2.7.1. - */ -static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( - 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL, - 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL, - 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL, - 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL -); - -static const int CURVE_B = 7; + +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G; +#define SECP256K1_B 7 + #endif +/* End of section generated by sage/gen_exhaustive_groups.sage. */ + +static void secp256k1_ge_verify(const secp256k1_ge *a) { + SECP256K1_FE_VERIFY(&a->x); + SECP256K1_FE_VERIFY(&a->y); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->x, SECP256K1_GE_X_MAGNITUDE_MAX); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->y, SECP256K1_GE_Y_MAGNITUDE_MAX); + VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); + (void)a; +} +static void secp256k1_gej_verify(const secp256k1_gej *a) { + SECP256K1_FE_VERIFY(&a->x); + SECP256K1_FE_VERIFY(&a->y); + SECP256K1_FE_VERIFY(&a->z); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->x, SECP256K1_GEJ_X_MAGNITUDE_MAX); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->y, SECP256K1_GEJ_Y_MAGNITUDE_MAX); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->z, SECP256K1_GEJ_Z_MAGNITUDE_MAX); + VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); + (void)a; +} + +/* Set r to the affine coordinates of Jacobian point (a.x, a.y, 1/zi). */ static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) { secp256k1_fe zi2; secp256k1_fe zi3; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_FE_VERIFY(zi); + VERIFY_CHECK(!a->infinity); + + secp256k1_fe_sqr(&zi2, zi); + secp256k1_fe_mul(&zi3, &zi2, zi); + secp256k1_fe_mul(&r->x, &a->x, &zi2); + secp256k1_fe_mul(&r->y, &a->y, &zi3); + r->infinity = a->infinity; + + SECP256K1_GE_VERIFY(r); +} + +/* Set r to the affine coordinates of Jacobian point (a.x, a.y, 1/zi). */ +static void secp256k1_ge_set_ge_zinv(secp256k1_ge *r, const secp256k1_ge *a, const secp256k1_fe *zi) { + secp256k1_fe zi2; + secp256k1_fe zi3; + SECP256K1_GE_VERIFY(a); + SECP256K1_FE_VERIFY(zi); + VERIFY_CHECK(!a->infinity); + secp256k1_fe_sqr(&zi2, zi); secp256k1_fe_mul(&zi3, &zi2, zi); secp256k1_fe_mul(&r->x, &a->x, &zi2); secp256k1_fe_mul(&r->y, &a->y, &zi3); r->infinity = a->infinity; + + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y) { + SECP256K1_FE_VERIFY(x); + SECP256K1_FE_VERIFY(y); + r->infinity = 0; r->x = *x; r->y = *y; + + SECP256K1_GE_VERIFY(r); } static int secp256k1_ge_is_infinity(const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + return a->infinity; } static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + *r = *a; secp256k1_fe_normalize_weak(&r->y); secp256k1_fe_negate(&r->y, &r->y, 1); + + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe z2, z3; + SECP256K1_GEJ_VERIFY(a); + r->infinity = a->infinity; secp256k1_fe_inv(&a->z, &a->z); secp256k1_fe_sqr(&z2, &a->z); @@ -108,31 +169,46 @@ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe_set_int(&a->z, 1); r->x = a->x; r->y = a->y; + + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe z2, z3; - r->infinity = a->infinity; - if (a->infinity) { + SECP256K1_GEJ_VERIFY(a); + + if (secp256k1_gej_is_infinity(a)) { + secp256k1_ge_set_infinity(r); return; } + r->infinity = 0; secp256k1_fe_inv_var(&a->z, &a->z); secp256k1_fe_sqr(&z2, &a->z); secp256k1_fe_mul(&z3, &a->z, &z2); secp256k1_fe_mul(&a->x, &a->x, &z2); secp256k1_fe_mul(&a->y, &a->y, &z3); secp256k1_fe_set_int(&a->z, 1); - r->x = a->x; - r->y = a->y; + secp256k1_ge_set_xy(r, &a->x, &a->y); + + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) { secp256k1_fe u; size_t i; size_t last_i = SIZE_MAX; +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GEJ_VERIFY(&a[i]); + } +#endif for (i = 0; i < len; i++) { - if (!a[i].infinity) { + if (a[i].infinity) { + secp256k1_ge_set_infinity(&r[i]); + } else { /* Use destination's x coordinates as scratch space */ if (last_i == SIZE_MAX) { r[i].x = a[i].z; @@ -160,25 +236,32 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a r[last_i].x = u; for (i = 0; i < len; i++) { - r[i].infinity = a[i].infinity; if (!a[i].infinity) { secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x); } } + +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&r[i]); + } +#endif } -static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr) { - size_t i = len - 1; +static void secp256k1_ge_table_set_globalz(size_t len, secp256k1_ge *a, const secp256k1_fe *zr) { + size_t i; secp256k1_fe zs; +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&a[i]); + SECP256K1_FE_VERIFY(&zr[i]); + } +#endif if (len > 0) { - /* The z of the final point gives us the "global Z" for the table. */ - r[i].x = a[i].x; - r[i].y = a[i].y; + i = len - 1; /* Ensure all y values are in weak normal form for fast negation of points */ - secp256k1_fe_normalize_weak(&r[i].y); - *globalz = a[i].z; - r[i].infinity = 0; + secp256k1_fe_normalize_weak(&a[i].y); zs = zr[i]; /* Work our way backwards, using the z-ratios to scale the x/y values. */ @@ -187,158 +270,193 @@ static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp secp256k1_fe_mul(&zs, &zs, &zr[i]); } i--; - secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zs); + secp256k1_ge_set_ge_zinv(&a[i], &a[i], &zs); } } + +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&a[i]); + } +#endif } static void secp256k1_gej_set_infinity(secp256k1_gej *r) { r->infinity = 1; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); - secp256k1_fe_clear(&r->z); + secp256k1_fe_set_int(&r->x, 0); + secp256k1_fe_set_int(&r->y, 0); + secp256k1_fe_set_int(&r->z, 0); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_ge_set_infinity(secp256k1_ge *r) { r->infinity = 1; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); + secp256k1_fe_set_int(&r->x, 0); + secp256k1_fe_set_int(&r->y, 0); + + SECP256K1_GE_VERIFY(r); } static void secp256k1_gej_clear(secp256k1_gej *r) { - r->infinity = 0; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); - secp256k1_fe_clear(&r->z); + secp256k1_memclear(r, sizeof(secp256k1_gej)); } static void secp256k1_ge_clear(secp256k1_ge *r) { - r->infinity = 0; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); + secp256k1_memclear(r, sizeof(secp256k1_ge)); } -static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x) { - secp256k1_fe x2, x3, c; +static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { + secp256k1_fe x2, x3; + int ret; + SECP256K1_FE_VERIFY(x); + r->x = *x; secp256k1_fe_sqr(&x2, x); secp256k1_fe_mul(&x3, x, &x2); r->infinity = 0; - secp256k1_fe_set_int(&c, CURVE_B); - secp256k1_fe_add(&c, &x3); - return secp256k1_fe_sqrt(&r->y, &c); -} - -static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { - if (!secp256k1_ge_set_xquad(r, x)) { - return 0; - } + secp256k1_fe_add_int(&x3, SECP256K1_B); + ret = secp256k1_fe_sqrt(&r->y, &x3); secp256k1_fe_normalize_var(&r->y); if (secp256k1_fe_is_odd(&r->y) != odd) { secp256k1_fe_negate(&r->y, &r->y, 1); } - return 1; + SECP256K1_GE_VERIFY(r); + return ret; } static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + r->infinity = a->infinity; r->x = a->x; r->y = a->y; secp256k1_fe_set_int(&r->z, 1); + + SECP256K1_GEJ_VERIFY(r); +} + +static int secp256k1_gej_eq_var(const secp256k1_gej *a, const secp256k1_gej *b) { + secp256k1_gej tmp; + SECP256K1_GEJ_VERIFY(b); + SECP256K1_GEJ_VERIFY(a); + + secp256k1_gej_neg(&tmp, a); + secp256k1_gej_add_var(&tmp, &tmp, b, NULL); + return secp256k1_gej_is_infinity(&tmp); +} + +static int secp256k1_gej_eq_ge_var(const secp256k1_gej *a, const secp256k1_ge *b) { + secp256k1_gej tmp; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); + + secp256k1_gej_neg(&tmp, a); + secp256k1_gej_add_ge_var(&tmp, &tmp, b, NULL); + return secp256k1_gej_is_infinity(&tmp); +} + +static int secp256k1_ge_eq_var(const secp256k1_ge *a, const secp256k1_ge *b) { + secp256k1_fe tmp; + SECP256K1_GE_VERIFY(a); + SECP256K1_GE_VERIFY(b); + + if (a->infinity != b->infinity) return 0; + if (a->infinity) return 1; + + tmp = a->x; + secp256k1_fe_normalize_weak(&tmp); + if (!secp256k1_fe_equal(&tmp, &b->x)) return 0; + + tmp = a->y; + secp256k1_fe_normalize_weak(&tmp); + if (!secp256k1_fe_equal(&tmp, &b->y)) return 0; + + return 1; } static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a) { - secp256k1_fe r, r2; + secp256k1_fe r; + SECP256K1_FE_VERIFY(x); + SECP256K1_GEJ_VERIFY(a); VERIFY_CHECK(!a->infinity); + secp256k1_fe_sqr(&r, &a->z); secp256k1_fe_mul(&r, &r, x); - r2 = a->x; secp256k1_fe_normalize_weak(&r2); - return secp256k1_fe_equal_var(&r, &r2); + return secp256k1_fe_equal(&r, &a->x); } static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a) { + SECP256K1_GEJ_VERIFY(a); + r->infinity = a->infinity; r->x = a->x; r->y = a->y; r->z = a->z; secp256k1_fe_normalize_weak(&r->y); secp256k1_fe_negate(&r->y, &r->y, 1); + + SECP256K1_GEJ_VERIFY(r); } static int secp256k1_gej_is_infinity(const secp256k1_gej *a) { - return a->infinity; -} + SECP256K1_GEJ_VERIFY(a); -static int secp256k1_gej_is_valid_var(const secp256k1_gej *a) { - secp256k1_fe y2, x3, z2, z6; - if (a->infinity) { - return 0; - } - /** y^2 = x^3 + 7 - * (Y/Z^3)^2 = (X/Z^2)^3 + 7 - * Y^2 / Z^6 = X^3 / Z^6 + 7 - * Y^2 = X^3 + 7*Z^6 - */ - secp256k1_fe_sqr(&y2, &a->y); - secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x); - secp256k1_fe_sqr(&z2, &a->z); - secp256k1_fe_sqr(&z6, &z2); secp256k1_fe_mul(&z6, &z6, &z2); - secp256k1_fe_mul_int(&z6, CURVE_B); - secp256k1_fe_add(&x3, &z6); - secp256k1_fe_normalize_weak(&x3); - return secp256k1_fe_equal_var(&y2, &x3); + return a->infinity; } static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) { - secp256k1_fe y2, x3, c; + secp256k1_fe y2, x3; + SECP256K1_GE_VERIFY(a); + if (a->infinity) { return 0; } /* y^2 = x^3 + 7 */ secp256k1_fe_sqr(&y2, &a->y); secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x); - secp256k1_fe_set_int(&c, CURVE_B); - secp256k1_fe_add(&x3, &c); - secp256k1_fe_normalize_weak(&x3); - return secp256k1_fe_equal_var(&y2, &x3); + secp256k1_fe_add_int(&x3, SECP256K1_B); + return secp256k1_fe_equal(&y2, &x3); } -static SECP256K1_INLINE void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a) { - /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate. - * - * Note that there is an implementation described at - * https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l - * which trades a multiply for a square, but in practice this is actually slower, - * mainly because it requires more normalizations. - */ - secp256k1_fe t1,t2,t3,t4; +static SECP256K1_INLINE void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a) { + /* Operations: 3 mul, 4 sqr, 8 add/half/mul_int/negate */ + secp256k1_fe l, s, t; + SECP256K1_GEJ_VERIFY(a); - VERIFY_CHECK(!secp256k1_gej_is_infinity(a)); - r->infinity = 0; + r->infinity = a->infinity; - secp256k1_fe_mul(&r->z, &a->z, &a->y); - secp256k1_fe_mul_int(&r->z, 2); /* Z' = 2*Y*Z (2) */ - secp256k1_fe_sqr(&t1, &a->x); - secp256k1_fe_mul_int(&t1, 3); /* T1 = 3*X^2 (3) */ - secp256k1_fe_sqr(&t2, &t1); /* T2 = 9*X^4 (1) */ - secp256k1_fe_sqr(&t3, &a->y); - secp256k1_fe_mul_int(&t3, 2); /* T3 = 2*Y^2 (2) */ - secp256k1_fe_sqr(&t4, &t3); - secp256k1_fe_mul_int(&t4, 2); /* T4 = 8*Y^4 (2) */ - secp256k1_fe_mul(&t3, &t3, &a->x); /* T3 = 2*X*Y^2 (1) */ - r->x = t3; - secp256k1_fe_mul_int(&r->x, 4); /* X' = 8*X*Y^2 (4) */ - secp256k1_fe_negate(&r->x, &r->x, 4); /* X' = -8*X*Y^2 (5) */ - secp256k1_fe_add(&r->x, &t2); /* X' = 9*X^4 - 8*X*Y^2 (6) */ - secp256k1_fe_negate(&t2, &t2, 1); /* T2 = -9*X^4 (2) */ - secp256k1_fe_mul_int(&t3, 6); /* T3 = 12*X*Y^2 (6) */ - secp256k1_fe_add(&t3, &t2); /* T3 = 12*X*Y^2 - 9*X^4 (8) */ - secp256k1_fe_mul(&r->y, &t1, &t3); /* Y' = 36*X^3*Y^2 - 27*X^6 (1) */ - secp256k1_fe_negate(&t2, &t4, 2); /* T2 = -8*Y^4 (3) */ - secp256k1_fe_add(&r->y, &t2); /* Y' = 36*X^3*Y^2 - 27*X^6 - 8*Y^4 (4) */ + /* Formula used: + * L = (3/2) * X1^2 + * S = Y1^2 + * T = -X1*S + * X3 = L^2 + 2*T + * Y3 = -(L*(X3 + T) + S^2) + * Z3 = Y1*Z1 + */ + + secp256k1_fe_mul(&r->z, &a->z, &a->y); /* Z3 = Y1*Z1 (1) */ + secp256k1_fe_sqr(&s, &a->y); /* S = Y1^2 (1) */ + secp256k1_fe_sqr(&l, &a->x); /* L = X1^2 (1) */ + secp256k1_fe_mul_int(&l, 3); /* L = 3*X1^2 (3) */ + secp256k1_fe_half(&l); /* L = 3/2*X1^2 (2) */ + secp256k1_fe_negate(&t, &s, 1); /* T = -S (2) */ + secp256k1_fe_mul(&t, &t, &a->x); /* T = -X1*S (1) */ + secp256k1_fe_sqr(&r->x, &l); /* X3 = L^2 (1) */ + secp256k1_fe_add(&r->x, &t); /* X3 = L^2 + T (2) */ + secp256k1_fe_add(&r->x, &t); /* X3 = L^2 + 2*T (3) */ + secp256k1_fe_sqr(&s, &s); /* S' = S^2 (1) */ + secp256k1_fe_add(&t, &r->x); /* T' = X3 + T (4) */ + secp256k1_fe_mul(&r->y, &t, &l); /* Y3 = L*(X3 + T) (1) */ + secp256k1_fe_add(&r->y, &s); /* Y3 = L*(X3 + T) + S^2 (2) */ + secp256k1_fe_negate(&r->y, &r->y, 2); /* Y3 = -(L*(X3 + T) + S^2) (3) */ + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) { + SECP256K1_GEJ_VERIFY(a); + /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity, * Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have * y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p. @@ -350,7 +468,7 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s * point will be gibberish (z = 0 but infinity = 0). */ if (a->infinity) { - r->infinity = 1; + secp256k1_gej_set_infinity(r); if (rzr != NULL) { secp256k1_fe_set_int(rzr, 1); } @@ -360,22 +478,24 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s if (rzr != NULL) { *rzr = a->y; secp256k1_fe_normalize_weak(rzr); - secp256k1_fe_mul_int(rzr, 2); } - secp256k1_gej_double_nonzero(r, a); + secp256k1_gej_double(r, a); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr) { - /* Operations: 12 mul, 4 sqr, 2 normalize, 12 mul_int/add/negate */ - secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + /* 12 mul, 4 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */ + secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, h2, h3, t; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GEJ_VERIFY(b); if (a->infinity) { VERIFY_CHECK(rzr == NULL); *r = *b; return; } - if (b->infinity) { if (rzr != NULL) { secp256k1_fe_set_int(rzr, 1); @@ -384,7 +504,6 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons return; } - r->infinity = 0; secp256k1_fe_sqr(&z22, &b->z); secp256k1_fe_sqr(&z12, &a->z); secp256k1_fe_mul(&u1, &a->x, &z22); @@ -392,7 +511,7 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons secp256k1_fe_mul(&s1, &a->y, &z22); secp256k1_fe_mul(&s1, &s1, &b->z); secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z); secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); - secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { secp256k1_gej_double_var(r, a, rzr); @@ -400,28 +519,42 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons if (rzr != NULL) { secp256k1_fe_set_int(rzr, 0); } - r->infinity = 1; + secp256k1_gej_set_infinity(r); } return; } - secp256k1_fe_sqr(&i2, &i); - secp256k1_fe_sqr(&h2, &h); - secp256k1_fe_mul(&h3, &h, &h2); - secp256k1_fe_mul(&h, &h, &b->z); + + r->infinity = 0; + secp256k1_fe_mul(&t, &h, &b->z); if (rzr != NULL) { - *rzr = h; + *rzr = t; } - secp256k1_fe_mul(&r->z, &a->z, &h); + secp256k1_fe_mul(&r->z, &a->z, &t); + + secp256k1_fe_sqr(&h2, &h); + secp256k1_fe_negate(&h2, &h2, 1); + secp256k1_fe_mul(&h3, &h2, &h); secp256k1_fe_mul(&t, &u1, &h2); - r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); - secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); - secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + + secp256k1_fe_sqr(&r->x, &i); + secp256k1_fe_add(&r->x, &h3); + secp256k1_fe_add(&r->x, &t); + secp256k1_fe_add(&r->x, &t); + + secp256k1_fe_add(&t, &r->x); + secp256k1_fe_mul(&r->y, &t, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_add(&r->y, &h3); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr) { - /* 8 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */ - secp256k1_fe z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + /* Operations: 8 mul, 3 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */ + secp256k1_fe z12, u1, u2, s1, s2, h, i, h2, h3, t; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); + if (a->infinity) { VERIFY_CHECK(rzr == NULL); secp256k1_gej_set_ge(r, b); @@ -434,15 +567,14 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c *r = *a; return; } - r->infinity = 0; secp256k1_fe_sqr(&z12, &a->z); - u1 = a->x; secp256k1_fe_normalize_weak(&u1); + u1 = a->x; secp256k1_fe_mul(&u2, &b->x, &z12); - s1 = a->y; secp256k1_fe_normalize_weak(&s1); + s1 = a->y; secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z); - secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); - secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + secp256k1_fe_negate(&h, &u1, SECP256K1_GEJ_X_MAGNITUDE_MAX); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { secp256k1_gej_double_var(r, a, rzr); @@ -450,32 +582,43 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c if (rzr != NULL) { secp256k1_fe_set_int(rzr, 0); } - r->infinity = 1; + secp256k1_gej_set_infinity(r); } return; } - secp256k1_fe_sqr(&i2, &i); - secp256k1_fe_sqr(&h2, &h); - secp256k1_fe_mul(&h3, &h, &h2); + + r->infinity = 0; if (rzr != NULL) { *rzr = h; } secp256k1_fe_mul(&r->z, &a->z, &h); + + secp256k1_fe_sqr(&h2, &h); + secp256k1_fe_negate(&h2, &h2, 1); + secp256k1_fe_mul(&h3, &h2, &h); secp256k1_fe_mul(&t, &u1, &h2); - r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); - secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); - secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + + secp256k1_fe_sqr(&r->x, &i); + secp256k1_fe_add(&r->x, &h3); + secp256k1_fe_add(&r->x, &t); + secp256k1_fe_add(&r->x, &t); + + secp256k1_fe_add(&t, &r->x); + secp256k1_fe_mul(&r->y, &t, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_add(&r->y, &h3); + + SECP256K1_GEJ_VERIFY(r); + if (rzr != NULL) SECP256K1_FE_VERIFY(rzr); } static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv) { - /* 9 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */ - secp256k1_fe az, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + /* Operations: 9 mul, 3 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */ + secp256k1_fe az, z12, u1, u2, s1, s2, h, i, h2, h3, t; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); + SECP256K1_FE_VERIFY(bzinv); - if (b->infinity) { - *r = *a; - return; - } if (a->infinity) { secp256k1_fe bzinv2, bzinv3; r->infinity = b->infinity; @@ -484,9 +627,13 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe_mul(&r->x, &b->x, &bzinv2); secp256k1_fe_mul(&r->y, &b->y, &bzinv3); secp256k1_fe_set_int(&r->z, 1); + SECP256K1_GEJ_VERIFY(r); + return; + } + if (b->infinity) { + *r = *a; return; } - r->infinity = 0; /** We need to calculate (rx,ry,rz) = (ax,ay,az) + (bx,by,1/bzinv). Due to * secp256k1's isomorphism we can multiply the Z coordinates on both sides @@ -499,42 +646,53 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe_mul(&az, &a->z, bzinv); secp256k1_fe_sqr(&z12, &az); - u1 = a->x; secp256k1_fe_normalize_weak(&u1); + u1 = a->x; secp256k1_fe_mul(&u2, &b->x, &z12); - s1 = a->y; secp256k1_fe_normalize_weak(&s1); + s1 = a->y; secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &az); - secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); - secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + secp256k1_fe_negate(&h, &u1, SECP256K1_GEJ_X_MAGNITUDE_MAX); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { secp256k1_gej_double_var(r, a, NULL); } else { - r->infinity = 1; + secp256k1_gej_set_infinity(r); } return; } - secp256k1_fe_sqr(&i2, &i); + + r->infinity = 0; + secp256k1_fe_mul(&r->z, &a->z, &h); + secp256k1_fe_sqr(&h2, &h); - secp256k1_fe_mul(&h3, &h, &h2); - r->z = a->z; secp256k1_fe_mul(&r->z, &r->z, &h); + secp256k1_fe_negate(&h2, &h2, 1); + secp256k1_fe_mul(&h3, &h2, &h); secp256k1_fe_mul(&t, &u1, &h2); - r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); - secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); - secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + + secp256k1_fe_sqr(&r->x, &i); + secp256k1_fe_add(&r->x, &h3); + secp256k1_fe_add(&r->x, &t); + secp256k1_fe_add(&r->x, &t); + + secp256k1_fe_add(&t, &r->x); + secp256k1_fe_mul(&r->y, &t, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_add(&r->y, &h3); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b) { - /* Operations: 7 mul, 5 sqr, 4 normalize, 21 mul_int/add/negate/cmov */ - static const secp256k1_fe fe_1 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); + /* Operations: 7 mul, 5 sqr, 21 add/cmov/half/mul_int/negate/normalizes_to_zero */ secp256k1_fe zz, u1, u2, s1, s2, t, tt, m, n, q, rr; secp256k1_fe m_alt, rr_alt; - int infinity, degenerate; + int degenerate; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); VERIFY_CHECK(!b->infinity); - VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); - /** In: + /* In: * Eric Brier and Marc Joye, Weierstrass Elliptic Curves and Side-Channel Attacks. * In D. Naccache and P. Paillier, Eds., Public Key Cryptography, vol. 2274 of Lecture Notes in Computer Science, pages 335-345. Springer-Verlag, 2002. * we find as solution for a unified addition/doubling formula: @@ -548,11 +706,11 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const * Z = Z1*Z2 * T = U1+U2 * M = S1+S2 - * Q = T*M^2 + * Q = -T*M^2 * R = T^2-U1*U2 - * X3 = 4*(R^2-Q) - * Y3 = 4*(R*(3*Q-2*R^2)-M^4) - * Z3 = 2*M*Z + * X3 = R^2+Q + * Y3 = -(R*(2*X3+Q)+M^4)/2 + * Z3 = M*Z * (Note that the paper uses xi = Xi / Zi and yi = Yi / Zi instead.) * * This formula has the benefit of being the same for both addition @@ -585,82 +743,104 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const */ secp256k1_fe_sqr(&zz, &a->z); /* z = Z1^2 */ - u1 = a->x; secp256k1_fe_normalize_weak(&u1); /* u1 = U1 = X1*Z2^2 (1) */ + u1 = a->x; /* u1 = U1 = X1*Z2^2 (GEJ_X_M) */ secp256k1_fe_mul(&u2, &b->x, &zz); /* u2 = U2 = X2*Z1^2 (1) */ - s1 = a->y; secp256k1_fe_normalize_weak(&s1); /* s1 = S1 = Y1*Z2^3 (1) */ + s1 = a->y; /* s1 = S1 = Y1*Z2^3 (GEJ_Y_M) */ secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z1^2 (1) */ secp256k1_fe_mul(&s2, &s2, &a->z); /* s2 = S2 = Y2*Z1^3 (1) */ - t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (2) */ - m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (2) */ + t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (GEJ_X_M+1) */ + m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (GEJ_Y_M+1) */ secp256k1_fe_sqr(&rr, &t); /* rr = T^2 (1) */ - secp256k1_fe_negate(&m_alt, &u2, 1); /* Malt = -X2*Z1^2 */ - secp256k1_fe_mul(&tt, &u1, &m_alt); /* tt = -U1*U2 (2) */ - secp256k1_fe_add(&rr, &tt); /* rr = R = T^2-U1*U2 (3) */ - /** If lambda = R/M = 0/0 we have a problem (except in the "trivial" - * case that Z = z1z2 = 0, and this is special-cased later on). */ - degenerate = secp256k1_fe_normalizes_to_zero(&m) & - secp256k1_fe_normalizes_to_zero(&rr); + secp256k1_fe_negate(&m_alt, &u2, 1); /* Malt = -X2*Z1^2 (2) */ + secp256k1_fe_mul(&tt, &u1, &m_alt); /* tt = -U1*U2 (1) */ + secp256k1_fe_add(&rr, &tt); /* rr = R = T^2-U1*U2 (2) */ + /* If lambda = R/M = R/0 we have a problem (except in the "trivial" + * case that Z = z1z2 = 0, and this is special-cased later on). */ + degenerate = secp256k1_fe_normalizes_to_zero(&m); /* This only occurs when y1 == -y2 and x1^3 == x2^3, but x1 != x2. * This means either x1 == beta*x2 or beta*x1 == x2, where beta is * a nontrivial cube root of one. In either case, an alternate * non-indeterminate expression for lambda is (y1 - y2)/(x1 - x2), * so we set R/M equal to this. */ rr_alt = s1; - secp256k1_fe_mul_int(&rr_alt, 2); /* rr = Y1*Z2^3 - Y2*Z1^3 (2) */ - secp256k1_fe_add(&m_alt, &u1); /* Malt = X1*Z2^2 - X2*Z1^2 */ + secp256k1_fe_mul_int(&rr_alt, 2); /* rr_alt = Y1*Z2^3 - Y2*Z1^3 (GEJ_Y_M*2) */ + secp256k1_fe_add(&m_alt, &u1); /* Malt = X1*Z2^2 - X2*Z1^2 (GEJ_X_M+2) */ - secp256k1_fe_cmov(&rr_alt, &rr, !degenerate); - secp256k1_fe_cmov(&m_alt, &m, !degenerate); - /* Now Ralt / Malt = lambda and is guaranteed not to be 0/0. + secp256k1_fe_cmov(&rr_alt, &rr, !degenerate); /* rr_alt (GEJ_Y_M*2) */ + secp256k1_fe_cmov(&m_alt, &m, !degenerate); /* m_alt (GEJ_X_M+2) */ + /* Now Ralt / Malt = lambda and is guaranteed not to be Ralt / 0. * From here on out Ralt and Malt represent the numerator * and denominator of lambda; R and M represent the explicit * expressions x1^2 + x2^2 + x1x2 and y1 + y2. */ secp256k1_fe_sqr(&n, &m_alt); /* n = Malt^2 (1) */ - secp256k1_fe_mul(&q, &n, &t); /* q = Q = T*Malt^2 (1) */ + secp256k1_fe_negate(&q, &t, + SECP256K1_GEJ_X_MAGNITUDE_MAX + 1); /* q = -T (GEJ_X_M+2) */ + secp256k1_fe_mul(&q, &q, &n); /* q = Q = -T*Malt^2 (1) */ /* These two lines use the observation that either M == Malt or M == 0, * so M^3 * Malt is either Malt^4 (which is computed by squaring), or * zero (which is "computed" by cmov). So the cost is one squaring * versus two multiplications. */ - secp256k1_fe_sqr(&n, &n); - secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (2) */ + secp256k1_fe_sqr(&n, &n); /* n = Malt^4 (1) */ + secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (GEJ_Y_M+1) */ secp256k1_fe_sqr(&t, &rr_alt); /* t = Ralt^2 (1) */ - secp256k1_fe_mul(&r->z, &a->z, &m_alt); /* r->z = Malt*Z (1) */ - infinity = secp256k1_fe_normalizes_to_zero(&r->z) * (1 - a->infinity); - secp256k1_fe_mul_int(&r->z, 2); /* r->z = Z3 = 2*Malt*Z (2) */ - secp256k1_fe_negate(&q, &q, 1); /* q = -Q (2) */ - secp256k1_fe_add(&t, &q); /* t = Ralt^2-Q (3) */ - secp256k1_fe_normalize_weak(&t); - r->x = t; /* r->x = Ralt^2-Q (1) */ - secp256k1_fe_mul_int(&t, 2); /* t = 2*x3 (2) */ - secp256k1_fe_add(&t, &q); /* t = 2*x3 - Q: (4) */ - secp256k1_fe_mul(&t, &t, &rr_alt); /* t = Ralt*(2*x3 - Q) (1) */ - secp256k1_fe_add(&t, &n); /* t = Ralt*(2*x3 - Q) + M^3*Malt (3) */ - secp256k1_fe_negate(&r->y, &t, 3); /* r->y = Ralt*(Q - 2x3) - M^3*Malt (4) */ - secp256k1_fe_normalize_weak(&r->y); - secp256k1_fe_mul_int(&r->x, 4); /* r->x = X3 = 4*(Ralt^2-Q) */ - secp256k1_fe_mul_int(&r->y, 4); /* r->y = Y3 = 4*Ralt*(Q - 2x3) - 4*M^3*Malt (4) */ - - /** In case a->infinity == 1, replace r with (b->x, b->y, 1). */ + secp256k1_fe_mul(&r->z, &a->z, &m_alt); /* r->z = Z3 = Malt*Z (1) */ + secp256k1_fe_add(&t, &q); /* t = Ralt^2 + Q (2) */ + r->x = t; /* r->x = X3 = Ralt^2 + Q (2) */ + secp256k1_fe_mul_int(&t, 2); /* t = 2*X3 (4) */ + secp256k1_fe_add(&t, &q); /* t = 2*X3 + Q (5) */ + secp256k1_fe_mul(&t, &t, &rr_alt); /* t = Ralt*(2*X3 + Q) (1) */ + secp256k1_fe_add(&t, &n); /* t = Ralt*(2*X3 + Q) + M^3*Malt (GEJ_Y_M+2) */ + secp256k1_fe_negate(&r->y, &t, + SECP256K1_GEJ_Y_MAGNITUDE_MAX + 2); /* r->y = -(Ralt*(2*X3 + Q) + M^3*Malt) (GEJ_Y_M+3) */ + secp256k1_fe_half(&r->y); /* r->y = Y3 = -(Ralt*(2*X3 + Q) + M^3*Malt)/2 ((GEJ_Y_M+3)/2 + 1) */ + + /* In case a->infinity == 1, replace r with (b->x, b->y, 1). */ secp256k1_fe_cmov(&r->x, &b->x, a->infinity); secp256k1_fe_cmov(&r->y, &b->y, a->infinity); - secp256k1_fe_cmov(&r->z, &fe_1, a->infinity); - r->infinity = infinity; + secp256k1_fe_cmov(&r->z, &secp256k1_fe_one, a->infinity); + + /* Set r->infinity if r->z is 0. + * + * If a->infinity is set, then r->infinity = (r->z == 0) = (1 == 0) = false, + * which is correct because the function assumes that b is not infinity. + * + * Now assume !a->infinity. This implies Z = Z1 != 0. + * + * Case y1 = -y2: + * In this case we could have a = -b, namely if x1 = x2. + * We have degenerate = true, r->z = (x1 - x2) * Z. + * Then r->infinity = ((x1 - x2)Z == 0) = (x1 == x2) = (a == -b). + * + * Case y1 != -y2: + * In this case, we can't have a = -b. + * We have degenerate = false, r->z = (y1 + y2) * Z. + * Then r->infinity = ((y1 + y2)Z == 0) = (y1 == -y2) = false. */ + r->infinity = secp256k1_fe_normalizes_to_zero(&r->z); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *s) { /* Operations: 4 mul, 1 sqr */ secp256k1_fe zz; - VERIFY_CHECK(!secp256k1_fe_is_zero(s)); + SECP256K1_GEJ_VERIFY(r); + SECP256K1_FE_VERIFY(s); + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(s)); + secp256k1_fe_sqr(&zz, s); secp256k1_fe_mul(&r->x, &r->x, &zz); /* r->x *= s^2 */ secp256k1_fe_mul(&r->y, &r->y, &zz); secp256k1_fe_mul(&r->y, &r->y, s); /* r->y *= s^3 */ secp256k1_fe_mul(&r->z, &r->z, s); /* r->z *= s */ + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a) { secp256k1_fe x, y; + SECP256K1_GE_VERIFY(a); VERIFY_CHECK(!a->infinity); + x = a->x; secp256k1_fe_normalize(&x); y = a->y; @@ -673,6 +853,20 @@ static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storag secp256k1_fe_from_storage(&r->x, &a->x); secp256k1_fe_from_storage(&r->y, &a->y); r->infinity = 0; + + SECP256K1_GE_VERIFY(r); +} + +static SECP256K1_INLINE void secp256k1_gej_cmov(secp256k1_gej *r, const secp256k1_gej *a, int flag) { + SECP256K1_GEJ_VERIFY(r); + SECP256K1_GEJ_VERIFY(a); + + secp256k1_fe_cmov(&r->x, &a->x, flag); + secp256k1_fe_cmov(&r->y, &a->y, flag); + secp256k1_fe_cmov(&r->z, &a->z, flag); + r->infinity ^= (r->infinity ^ a->infinity) & flag; + + SECP256K1_GEJ_VERIFY(r); } static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag) { @@ -680,29 +874,101 @@ static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, secp256k1_fe_storage_cmov(&r->y, &a->y, flag); } -#ifdef USE_ENDOMORPHISM static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) { - static const secp256k1_fe beta = SECP256K1_FE_CONST( - 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul, - 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul - ); + SECP256K1_GE_VERIFY(a); + *r = *a; - secp256k1_fe_mul(&r->x, &r->x, &beta); + secp256k1_fe_mul(&r->x, &r->x, &secp256k1_const_beta); + + SECP256K1_GE_VERIFY(r); } + +static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) { +#ifdef EXHAUSTIVE_TEST_ORDER + secp256k1_gej out; + int i; + SECP256K1_GE_VERIFY(ge); + + /* A very simple EC multiplication ladder that avoids a dependency on ecmult. */ + secp256k1_gej_set_infinity(&out); + for (i = 0; i < 32; ++i) { + secp256k1_gej_double_var(&out, &out, NULL); + if ((((uint32_t)EXHAUSTIVE_TEST_ORDER) >> (31 - i)) & 1) { + secp256k1_gej_add_ge_var(&out, &out, ge, NULL); + } + } + return secp256k1_gej_is_infinity(&out); +#else + SECP256K1_GE_VERIFY(ge); + + (void)ge; + /* The real secp256k1 group has cofactor 1, so the subgroup is the entire curve. */ + return 1; #endif +} -static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a) { - secp256k1_fe yz; +static int secp256k1_ge_x_on_curve_var(const secp256k1_fe *x) { + secp256k1_fe c; + secp256k1_fe_sqr(&c, x); + secp256k1_fe_mul(&c, &c, x); + secp256k1_fe_add_int(&c, SECP256K1_B); + return secp256k1_fe_is_square_var(&c); +} - if (a->infinity) { - return 0; +static int secp256k1_ge_x_frac_on_curve_var(const secp256k1_fe *xn, const secp256k1_fe *xd) { + /* We want to determine whether (xn/xd) is on the curve. + * + * (xn/xd)^3 + 7 is square <=> xd*xn^3 + 7*xd^4 is square (multiplying by xd^4, a square). + */ + secp256k1_fe r, t; + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(xd)); + + secp256k1_fe_mul(&r, xd, xn); /* r = xd*xn */ + secp256k1_fe_sqr(&t, xn); /* t = xn^2 */ + secp256k1_fe_mul(&r, &r, &t); /* r = xd*xn^3 */ + secp256k1_fe_sqr(&t, xd); /* t = xd^2 */ + secp256k1_fe_sqr(&t, &t); /* t = xd^4 */ + VERIFY_CHECK(SECP256K1_B <= 31); + secp256k1_fe_mul_int(&t, SECP256K1_B); /* t = 7*xd^4 */ + secp256k1_fe_add(&r, &t); /* r = xd*xn^3 + 7*xd^4 */ + return secp256k1_fe_is_square_var(&r); +} + +static void secp256k1_ge_to_bytes(unsigned char *buf, const secp256k1_ge *a) { + secp256k1_ge_storage s; + + /* We require that the secp256k1_ge_storage type is exactly 64 bytes. + * This is formally not guaranteed by the C standard, but should hold on any + * sane compiler in the real world. */ + STATIC_ASSERT(sizeof(secp256k1_ge_storage) == 64); + VERIFY_CHECK(!secp256k1_ge_is_infinity(a)); + secp256k1_ge_to_storage(&s, a); + memcpy(buf, &s, 64); +} + +static void secp256k1_ge_from_bytes(secp256k1_ge *r, const unsigned char *buf) { + secp256k1_ge_storage s; + + STATIC_ASSERT(sizeof(secp256k1_ge_storage) == 64); + memcpy(&s, buf, 64); + secp256k1_ge_from_storage(r, &s); +} + +static void secp256k1_ge_to_bytes_ext(unsigned char *data, const secp256k1_ge *ge) { + if (secp256k1_ge_is_infinity(ge)) { + memset(data, 0, 64); + } else { + secp256k1_ge_to_bytes(data, ge); } +} - /* We rely on the fact that the Jacobi symbol of 1 / a->z^3 is the same as - * that of a->z. Thus a->y / a->z^3 is a quadratic residue iff a->y * a->z - is */ - secp256k1_fe_mul(&yz, &a->y, &a->z); - return secp256k1_fe_is_quad_var(&yz); +static void secp256k1_ge_from_bytes_ext(secp256k1_ge *ge, const unsigned char *data) { + static const unsigned char zeros[64] = { 0 }; + if (secp256k1_memcmp_var(data, zeros, sizeof(zeros)) == 0) { + secp256k1_ge_set_infinity(ge); + } else { + secp256k1_ge_from_bytes(ge, data); + } } #endif /* SECP256K1_GROUP_IMPL_H */ diff --git a/src/secp256k1/src/hash.h b/src/secp256k1/src/hash.h index de26e4b8..6d903ca7 100644 --- a/src/secp256k1/src/hash.h +++ b/src/secp256k1/src/hash.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_HASH_H #define SECP256K1_HASH_H @@ -12,13 +12,14 @@ typedef struct { uint32_t s[8]; - uint32_t buf[16]; /* In big endian */ - size_t bytes; + unsigned char buf[64]; + uint64_t bytes; } secp256k1_sha256; static void secp256k1_sha256_initialize(secp256k1_sha256 *hash); static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char *data, size_t size); static void secp256k1_sha256_finalize(secp256k1_sha256 *hash, unsigned char *out32); +static void secp256k1_sha256_clear(secp256k1_sha256 *hash); typedef struct { secp256k1_sha256 inner, outer; @@ -27,6 +28,7 @@ typedef struct { static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t size); static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256 *hash, const unsigned char *data, size_t size); static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256 *hash, unsigned char *out32); +static void secp256k1_hmac_sha256_clear(secp256k1_hmac_sha256 *hash); typedef struct { unsigned char v[32]; @@ -37,5 +39,6 @@ typedef struct { static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256 *rng, const unsigned char *key, size_t keylen); static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 *rng, unsigned char *out, size_t outlen); static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 *rng); +static void secp256k1_rfc6979_hmac_sha256_clear(secp256k1_rfc6979_hmac_sha256 *rng); #endif /* SECP256K1_HASH_H */ diff --git a/src/secp256k1/src/hash_impl.h b/src/secp256k1/src/hash_impl.h index 782f9721..956e0ea4 100644 --- a/src/secp256k1/src/hash_impl.h +++ b/src/secp256k1/src/hash_impl.h @@ -1,13 +1,14 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_HASH_IMPL_H #define SECP256K1_HASH_IMPL_H #include "hash.h" +#include "util.h" #include #include @@ -27,12 +28,6 @@ (h) = t1 + t2; \ } while(0) -#ifdef WORDS_BIGENDIAN -#define BE32(x) (x) -#else -#define BE32(p) ((((p) & 0xFF) << 24) | (((p) & 0xFF00) << 8) | (((p) & 0xFF0000) >> 8) | (((p) & 0xFF000000) >> 24)) -#endif - static void secp256k1_sha256_initialize(secp256k1_sha256 *hash) { hash->s[0] = 0x6a09e667ul; hash->s[1] = 0xbb67ae85ul; @@ -46,26 +41,26 @@ static void secp256k1_sha256_initialize(secp256k1_sha256 *hash) { } /** Perform one SHA-256 transformation, processing 16 big endian 32-bit words. */ -static void secp256k1_sha256_transform(uint32_t* s, const uint32_t* chunk) { +static void secp256k1_sha256_transform(uint32_t* s, const unsigned char* buf) { uint32_t a = s[0], b = s[1], c = s[2], d = s[3], e = s[4], f = s[5], g = s[6], h = s[7]; uint32_t w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15; - Round(a, b, c, d, e, f, g, h, 0x428a2f98, w0 = BE32(chunk[0])); - Round(h, a, b, c, d, e, f, g, 0x71374491, w1 = BE32(chunk[1])); - Round(g, h, a, b, c, d, e, f, 0xb5c0fbcf, w2 = BE32(chunk[2])); - Round(f, g, h, a, b, c, d, e, 0xe9b5dba5, w3 = BE32(chunk[3])); - Round(e, f, g, h, a, b, c, d, 0x3956c25b, w4 = BE32(chunk[4])); - Round(d, e, f, g, h, a, b, c, 0x59f111f1, w5 = BE32(chunk[5])); - Round(c, d, e, f, g, h, a, b, 0x923f82a4, w6 = BE32(chunk[6])); - Round(b, c, d, e, f, g, h, a, 0xab1c5ed5, w7 = BE32(chunk[7])); - Round(a, b, c, d, e, f, g, h, 0xd807aa98, w8 = BE32(chunk[8])); - Round(h, a, b, c, d, e, f, g, 0x12835b01, w9 = BE32(chunk[9])); - Round(g, h, a, b, c, d, e, f, 0x243185be, w10 = BE32(chunk[10])); - Round(f, g, h, a, b, c, d, e, 0x550c7dc3, w11 = BE32(chunk[11])); - Round(e, f, g, h, a, b, c, d, 0x72be5d74, w12 = BE32(chunk[12])); - Round(d, e, f, g, h, a, b, c, 0x80deb1fe, w13 = BE32(chunk[13])); - Round(c, d, e, f, g, h, a, b, 0x9bdc06a7, w14 = BE32(chunk[14])); - Round(b, c, d, e, f, g, h, a, 0xc19bf174, w15 = BE32(chunk[15])); + Round(a, b, c, d, e, f, g, h, 0x428a2f98, w0 = secp256k1_read_be32(&buf[0])); + Round(h, a, b, c, d, e, f, g, 0x71374491, w1 = secp256k1_read_be32(&buf[4])); + Round(g, h, a, b, c, d, e, f, 0xb5c0fbcf, w2 = secp256k1_read_be32(&buf[8])); + Round(f, g, h, a, b, c, d, e, 0xe9b5dba5, w3 = secp256k1_read_be32(&buf[12])); + Round(e, f, g, h, a, b, c, d, 0x3956c25b, w4 = secp256k1_read_be32(&buf[16])); + Round(d, e, f, g, h, a, b, c, 0x59f111f1, w5 = secp256k1_read_be32(&buf[20])); + Round(c, d, e, f, g, h, a, b, 0x923f82a4, w6 = secp256k1_read_be32(&buf[24])); + Round(b, c, d, e, f, g, h, a, 0xab1c5ed5, w7 = secp256k1_read_be32(&buf[28])); + Round(a, b, c, d, e, f, g, h, 0xd807aa98, w8 = secp256k1_read_be32(&buf[32])); + Round(h, a, b, c, d, e, f, g, 0x12835b01, w9 = secp256k1_read_be32(&buf[36])); + Round(g, h, a, b, c, d, e, f, 0x243185be, w10 = secp256k1_read_be32(&buf[40])); + Round(f, g, h, a, b, c, d, e, 0x550c7dc3, w11 = secp256k1_read_be32(&buf[44])); + Round(e, f, g, h, a, b, c, d, 0x72be5d74, w12 = secp256k1_read_be32(&buf[48])); + Round(d, e, f, g, h, a, b, c, 0x80deb1fe, w13 = secp256k1_read_be32(&buf[52])); + Round(c, d, e, f, g, h, a, b, 0x9bdc06a7, w14 = secp256k1_read_be32(&buf[56])); + Round(b, c, d, e, f, g, h, a, 0xc19bf174, w15 = secp256k1_read_be32(&buf[60])); Round(a, b, c, d, e, f, g, h, 0xe49b69c1, w0 += sigma1(w14) + w9 + sigma0(w1)); Round(h, a, b, c, d, e, f, g, 0xefbe4786, w1 += sigma1(w15) + w10 + sigma0(w2)); @@ -135,7 +130,7 @@ static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char * while (len >= 64 - bufsize) { /* Fill the buffer, and process it. */ size_t chunk_len = 64 - bufsize; - memcpy(((unsigned char*)hash->buf) + bufsize, data, chunk_len); + memcpy(hash->buf + bufsize, data, chunk_len); data += chunk_len; len -= chunk_len; secp256k1_sha256_transform(hash->s, hash->buf); @@ -143,24 +138,41 @@ static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char * } if (len) { /* Fill the buffer with what remains. */ - memcpy(((unsigned char*)hash->buf) + bufsize, data, len); + memcpy(hash->buf + bufsize, data, len); } } static void secp256k1_sha256_finalize(secp256k1_sha256 *hash, unsigned char *out32) { - static const unsigned char pad[64] = {0x80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; - uint32_t sizedesc[2]; - uint32_t out[8]; - int i = 0; - sizedesc[0] = BE32(hash->bytes >> 29); - sizedesc[1] = BE32(hash->bytes << 3); + static const unsigned char pad[64] = {0x80}; + unsigned char sizedesc[8]; + int i; + /* The maximum message size of SHA256 is 2^64-1 bits. */ + VERIFY_CHECK(hash->bytes < ((uint64_t)1 << 61)); + secp256k1_write_be32(&sizedesc[0], hash->bytes >> 29); + secp256k1_write_be32(&sizedesc[4], hash->bytes << 3); secp256k1_sha256_write(hash, pad, 1 + ((119 - (hash->bytes % 64)) % 64)); - secp256k1_sha256_write(hash, (const unsigned char*)sizedesc, 8); + secp256k1_sha256_write(hash, sizedesc, 8); for (i = 0; i < 8; i++) { - out[i] = BE32(hash->s[i]); + secp256k1_write_be32(&out32[4*i], hash->s[i]); hash->s[i] = 0; } - memcpy(out32, (const unsigned char*)out, 32); +} + +/* Initializes a sha256 struct and writes the 64 byte string + * SHA256(tag)||SHA256(tag) into it. */ +static void secp256k1_sha256_initialize_tagged(secp256k1_sha256 *hash, const unsigned char *tag, size_t taglen) { + unsigned char buf[32]; + secp256k1_sha256_initialize(hash); + secp256k1_sha256_write(hash, tag, taglen); + secp256k1_sha256_finalize(hash, buf); + + secp256k1_sha256_initialize(hash); + secp256k1_sha256_write(hash, buf, 32); + secp256k1_sha256_write(hash, buf, 32); +} + +static void secp256k1_sha256_clear(secp256k1_sha256 *hash) { + secp256k1_memclear(hash, sizeof(*hash)); } static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t keylen) { @@ -188,7 +200,7 @@ static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const rkey[n] ^= 0x5c ^ 0x36; } secp256k1_sha256_write(&hash->inner, rkey, sizeof(rkey)); - memset(rkey, 0, sizeof(rkey)); + secp256k1_memclear(rkey, sizeof(rkey)); } static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256 *hash, const unsigned char *data, size_t size) { @@ -199,10 +211,13 @@ static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256 *hash, unsigned unsigned char temp[32]; secp256k1_sha256_finalize(&hash->inner, temp); secp256k1_sha256_write(&hash->outer, temp, 32); - memset(temp, 0, 32); + secp256k1_memclear(temp, sizeof(temp)); secp256k1_sha256_finalize(&hash->outer, out32); } +static void secp256k1_hmac_sha256_clear(secp256k1_hmac_sha256 *hash) { + secp256k1_memclear(hash, sizeof(*hash)); +} static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256 *rng, const unsigned char *key, size_t keylen) { secp256k1_hmac_sha256 hmac; @@ -266,12 +281,13 @@ static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 } static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 *rng) { - memset(rng->k, 0, 32); - memset(rng->v, 0, 32); - rng->retry = 0; + (void) rng; +} + +static void secp256k1_rfc6979_hmac_sha256_clear(secp256k1_rfc6979_hmac_sha256 *rng) { + secp256k1_memclear(rng, sizeof(*rng)); } -#undef BE32 #undef Round #undef sigma1 #undef sigma0 diff --git a/src/secp256k1/src/hsort.h b/src/secp256k1/src/hsort.h new file mode 100644 index 00000000..d54995ca --- /dev/null +++ b/src/secp256k1/src/hsort.h @@ -0,0 +1,33 @@ +/*********************************************************************** + * Copyright (c) 2021 Russell O'Connor, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_HSORT_H +#define SECP256K1_HSORT_H + +#include +#include + +/* In-place, iterative heapsort with an interface matching glibc's qsort_r. This + * is preferred over standard library implementations because they generally + * make no guarantee about being fast for malicious inputs. + * Remember that heapsort is unstable. + * + * In/Out: ptr: pointer to the array to sort. The contents of the array are + * sorted in ascending order according to the comparison function. + * In: count: number of elements in the array. + * size: size in bytes of each element. + * cmp: pointer to a comparison function that is called with two + * arguments that point to the objects being compared. The cmp_data + * argument of secp256k1_hsort is passed as third argument. The + * function must return an integer less than, equal to, or greater + * than zero if the first argument is considered to be respectively + * less than, equal to, or greater than the second. + * cmp_data: pointer passed as third argument to cmp. + */ +static void secp256k1_hsort(void *ptr, size_t count, size_t size, + int (*cmp)(const void *, const void *, void *), + void *cmp_data); +#endif diff --git a/src/secp256k1/src/hsort_impl.h b/src/secp256k1/src/hsort_impl.h new file mode 100644 index 00000000..1c674ff1 --- /dev/null +++ b/src/secp256k1/src/hsort_impl.h @@ -0,0 +1,125 @@ +/*********************************************************************** + * Copyright (c) 2021 Russell O'Connor, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_HSORT_IMPL_H +#define SECP256K1_HSORT_IMPL_H + +#include "hsort.h" + +/* An array is a heap when, for all non-zero indexes i, the element at index i + * compares as less than or equal to the element at index parent(i) = (i-1)/2. + */ + +static SECP256K1_INLINE size_t secp256k1_heap_child1(size_t i) { + VERIFY_CHECK(i <= (SIZE_MAX - 1)/2); + return 2*i + 1; +} + +static SECP256K1_INLINE size_t secp256k1_heap_child2(size_t i) { + VERIFY_CHECK(i <= SIZE_MAX/2 - 1); + return secp256k1_heap_child1(i)+1; +} + +static SECP256K1_INLINE void secp256k1_heap_swap64(unsigned char *a, unsigned char *b, size_t len) { + unsigned char tmp[64]; + VERIFY_CHECK(len <= 64); + memcpy(tmp, a, len); + memmove(a, b, len); + memcpy(b, tmp, len); +} + +static SECP256K1_INLINE void secp256k1_heap_swap(unsigned char *arr, size_t i, size_t j, size_t stride) { + unsigned char *a = arr + i*stride; + unsigned char *b = arr + j*stride; + size_t len = stride; + while (64 < len) { + secp256k1_heap_swap64(a + (len - 64), b + (len - 64), 64); + len -= 64; + } + secp256k1_heap_swap64(a, b, len); +} + +/* This function accepts an array arr containing heap_size elements, each of + * size stride. The elements in the array at indices >i satisfy the max-heap + * property, i.e., for any element at index j (where j > i), all of its children + * are smaller than the element itself. The purpose of the function is to update + * the array so that all elements at indices >=i satisfy the max-heap + * property. */ +static SECP256K1_INLINE void secp256k1_heap_down(unsigned char *arr, size_t i, size_t heap_size, size_t stride, + int (*cmp)(const void *, const void *, void *), void *cmp_data) { + while (i < heap_size/2) { + VERIFY_CHECK(i <= SIZE_MAX/2 - 1); + /* Proof: + * i < heap_size/2 + * i + 1 <= heap_size/2 + * 2*i + 2 <= heap_size <= SIZE_MAX + * 2*i <= SIZE_MAX - 2 + */ + + VERIFY_CHECK(secp256k1_heap_child1(i) < heap_size); + /* Proof: + * i < heap_size/2 + * i + 1 <= heap_size/2 + * 2*i + 2 <= heap_size + * 2*i + 1 < heap_size + * child1(i) < heap_size + */ + + /* Let [x] be notation for the contents at arr[x*stride]. + * + * If [child1(i)] > [i] and [child2(i)] > [i], + * swap [i] with the larger child to ensure the new parent is larger + * than both children. When [child1(i)] == [child2(i)], swap [i] with + * [child2(i)]. + * Else if [child1(i)] > [i], swap [i] with [child1(i)]. + * Else if [child2(i)] > [i], swap [i] with [child2(i)]. + */ + if (secp256k1_heap_child2(i) < heap_size + && 0 <= cmp(arr + secp256k1_heap_child2(i)*stride, arr + secp256k1_heap_child1(i)*stride, cmp_data)) { + if (0 < cmp(arr + secp256k1_heap_child2(i)*stride, arr + i*stride, cmp_data)) { + secp256k1_heap_swap(arr, i, secp256k1_heap_child2(i), stride); + i = secp256k1_heap_child2(i); + } else { + /* At this point we have [child2(i)] >= [child1(i)] and we have + * [child2(i)] <= [i], and thus [child1(i)] <= [i] which means + * that the next comparison can be skipped. */ + return; + } + } else if (0 < cmp(arr + secp256k1_heap_child1(i)*stride, arr + i*stride, cmp_data)) { + secp256k1_heap_swap(arr, i, secp256k1_heap_child1(i), stride); + i = secp256k1_heap_child1(i); + } else { + return; + } + } + /* heap_size/2 <= i + * heap_size/2 < i + 1 + * heap_size < 2*i + 2 + * heap_size <= 2*i + 1 + * heap_size <= child1(i) + * Thus child1(i) and child2(i) are now out of bounds and we are at a leaf. + */ +} + +/* In-place heap sort. */ +static void secp256k1_hsort(void *ptr, size_t count, size_t size, + int (*cmp)(const void *, const void *, void *), + void *cmp_data) { + size_t i; + + for (i = count/2; 0 < i; --i) { + secp256k1_heap_down(ptr, i-1, count, size, cmp, cmp_data); + } + for (i = count; 1 < i; --i) { + /* Extract the largest value from the heap */ + secp256k1_heap_swap(ptr, 0, i-1, size); + + /* Repair the heap condition */ + secp256k1_heap_down(ptr, 0, i-1, size, cmp, cmp_data); + } +} + +#endif diff --git a/src/secp256k1/src/int128.h b/src/secp256k1/src/int128.h new file mode 100644 index 00000000..5355fbfa --- /dev/null +++ b/src/secp256k1/src/int128.h @@ -0,0 +1,90 @@ +#ifndef SECP256K1_INT128_H +#define SECP256K1_INT128_H + +#include "util.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +# if defined(SECP256K1_INT128_NATIVE) +# include "int128_native.h" +# elif defined(SECP256K1_INT128_STRUCT) +# include "int128_struct.h" +# else +# error "Please select int128 implementation" +# endif + +/* Construct an unsigned 128-bit value from a high and a low 64-bit value. */ +static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo); + +/* Multiply two unsigned 64-bit values a and b and write the result to r. */ +static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b); + +/* Multiply two unsigned 64-bit values a and b and add the result to r. + * The final result is taken modulo 2^128. + */ +static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b); + +/* Add an unsigned 64-bit value a to r. + * The final result is taken modulo 2^128. + */ +static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a); + +/* Unsigned (logical) right shift. + * Non-constant time in n. + */ +static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n); + +/* Return the low 64-bits of a 128-bit value as an unsigned 64-bit value. */ +static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a); + +/* Return the high 64-bits of a 128-bit value as an unsigned 64-bit value. */ +static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a); + +/* Write an unsigned 64-bit value to r. */ +static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a); + +/* Tests if r is strictly less than to 2^n. + * n must be strictly less than 128. + */ +static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n); + +/* Construct an signed 128-bit value from a high and a low 64-bit value. */ +static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo); + +/* Multiply two signed 64-bit values a and b and write the result to r. */ +static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b); + +/* Multiply two signed 64-bit values a and b and add the result to r. + * Overflow or underflow from the addition is undefined behaviour. + */ +static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b); + +/* Compute a*d - b*c from signed 64-bit values and write the result to r. */ +static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d); + +/* Signed (arithmetic) right shift. + * Non-constant time in b. + */ +static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int b); + +/* Return the input value modulo 2^64. */ +static SECP256K1_INLINE uint64_t secp256k1_i128_to_u64(const secp256k1_int128 *a); + +/* Return the value as a signed 64-bit value. + * Requires the input to be between INT64_MIN and INT64_MAX. + */ +static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a); + +/* Write a signed 64-bit value to r. */ +static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a); + +/* Compare two 128-bit values for equality. */ +static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b); + +/* Tests if r is equal to sign*2^n (sign must be 1 or -1). + * n must be strictly less than 127. + */ +static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign); + +#endif + +#endif diff --git a/src/secp256k1/src/int128_impl.h b/src/secp256k1/src/int128_impl.h new file mode 100644 index 00000000..cfc57340 --- /dev/null +++ b/src/secp256k1/src/int128_impl.h @@ -0,0 +1,18 @@ +#ifndef SECP256K1_INT128_IMPL_H +#define SECP256K1_INT128_IMPL_H + +#include "util.h" + +#include "int128.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +# if defined(SECP256K1_INT128_NATIVE) +# include "int128_native_impl.h" +# elif defined(SECP256K1_INT128_STRUCT) +# include "int128_struct_impl.h" +# else +# error "Please select int128 implementation" +# endif +#endif + +#endif diff --git a/src/secp256k1/src/int128_native.h b/src/secp256k1/src/int128_native.h new file mode 100644 index 00000000..7c97aafc --- /dev/null +++ b/src/secp256k1/src/int128_native.h @@ -0,0 +1,19 @@ +#ifndef SECP256K1_INT128_NATIVE_H +#define SECP256K1_INT128_NATIVE_H + +#include +#include "util.h" + +#if !defined(UINT128_MAX) && defined(__SIZEOF_INT128__) +SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t; +SECP256K1_GNUC_EXT typedef __int128 int128_t; +# define UINT128_MAX ((uint128_t)(-1)) +# define INT128_MAX ((int128_t)(UINT128_MAX >> 1)) +# define INT128_MIN (-INT128_MAX - 1) +/* No (U)INT128_C macros because compilers providing __int128 do not support 128-bit literals. */ +#endif + +typedef uint128_t secp256k1_uint128; +typedef int128_t secp256k1_int128; + +#endif diff --git a/src/secp256k1/src/int128_native_impl.h b/src/secp256k1/src/int128_native_impl.h new file mode 100644 index 00000000..7f02e159 --- /dev/null +++ b/src/secp256k1/src/int128_native_impl.h @@ -0,0 +1,94 @@ +#ifndef SECP256K1_INT128_NATIVE_IMPL_H +#define SECP256K1_INT128_NATIVE_IMPL_H + +#include "int128.h" +#include "util.h" + +static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) { + *r = (((uint128_t)hi) << 64) + lo; +} + +static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + *r = (uint128_t)a * b; +} + +static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + *r += (uint128_t)a * b; +} + +static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a) { + *r += a; +} + +static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + *r >>= n; +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a) { + return (uint64_t)(*a); +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a) { + return (uint64_t)(*a >> 64); +} + +static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a) { + *r = a; +} + +static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + return (*r >> n == 0); +} + +static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo) { + *r = (((uint128_t)(uint64_t)hi) << 64) + lo; +} + +static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + *r = (int128_t)a * b; +} + +static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int128_t ab = (int128_t)a * b; + VERIFY_CHECK(0 <= ab ? *r <= INT128_MAX - ab : INT128_MIN - ab <= *r); + *r += ab; +} + +static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d) { + int128_t ad = (int128_t)a * d; + int128_t bc = (int128_t)b * c; + VERIFY_CHECK(0 <= bc ? INT128_MIN + bc <= ad : ad <= INT128_MAX + bc); + *r = ad - bc; +} + +static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + *r >>= n; +} + +static SECP256K1_INLINE uint64_t secp256k1_i128_to_u64(const secp256k1_int128 *a) { + return (uint64_t)*a; +} + +static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a) { + VERIFY_CHECK(INT64_MIN <= *a && *a <= INT64_MAX); + return *a; +} + +static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a) { + *r = a; +} + +static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b) { + return *a == *b; +} + +static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) { + VERIFY_CHECK(n < 127); + VERIFY_CHECK(sign == 1 || sign == -1); + return (*r == (int128_t)((uint128_t)sign << n)); +} + +#endif diff --git a/src/secp256k1/src/int128_struct.h b/src/secp256k1/src/int128_struct.h new file mode 100644 index 00000000..6156f82c --- /dev/null +++ b/src/secp256k1/src/int128_struct.h @@ -0,0 +1,14 @@ +#ifndef SECP256K1_INT128_STRUCT_H +#define SECP256K1_INT128_STRUCT_H + +#include +#include "util.h" + +typedef struct { + uint64_t lo; + uint64_t hi; +} secp256k1_uint128; + +typedef secp256k1_uint128 secp256k1_int128; + +#endif diff --git a/src/secp256k1/src/int128_struct_impl.h b/src/secp256k1/src/int128_struct_impl.h new file mode 100644 index 00000000..962a71d1 --- /dev/null +++ b/src/secp256k1/src/int128_struct_impl.h @@ -0,0 +1,205 @@ +#ifndef SECP256K1_INT128_STRUCT_IMPL_H +#define SECP256K1_INT128_STRUCT_IMPL_H + +#include "int128.h" +#include "util.h" + +#if defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64)) /* MSVC */ +# include +# if defined(_M_ARM64) || defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE) +/* On ARM64 MSVC, use __(u)mulh for the upper half of 64x64 multiplications. + (Define SECP256K1_MSVC_MULH_TEST_OVERRIDE to test this code path on X64, + which supports both __(u)mulh and _umul128.) */ +# if defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE) +# pragma message(__FILE__ ": SECP256K1_MSVC_MULH_TEST_OVERRIDE is defined, forcing use of __(u)mulh.") +# endif +static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) { + *hi = __umulh(a, b); + return a * b; +} + +static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { + *hi = __mulh(a, b); + return (uint64_t)a * (uint64_t)b; +} +# else +/* On x84_64 MSVC, use native _(u)mul128 for 64x64->128 multiplications. */ +# define secp256k1_umul128 _umul128 +# define secp256k1_mul128 _mul128 +# endif +#else +/* On other systems, emulate 64x64->128 multiplications using 32x32->64 multiplications. */ +static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) { + uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b; + uint64_t lh = (uint32_t)a * (b >> 32); + uint64_t hl = (a >> 32) * (uint32_t)b; + uint64_t hh = (a >> 32) * (b >> 32); + uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl; + *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32); + return (mid34 << 32) + (uint32_t)ll; +} + +static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { + uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b; + int64_t lh = (uint32_t)a * (b >> 32); + int64_t hl = (a >> 32) * (uint32_t)b; + int64_t hh = (a >> 32) * (b >> 32); + uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl; + *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32); + return (mid34 << 32) + (uint32_t)ll; +} +#endif + +static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) { + r->hi = hi; + r->lo = lo; +} + +static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + r->lo = secp256k1_umul128(a, b, &r->hi); +} + +static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + uint64_t lo, hi; + lo = secp256k1_umul128(a, b, &hi); + r->lo += lo; + r->hi += hi + (r->lo < lo); +} + +static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a) { + r->lo += a; + r->hi += r->lo < a; +} + +/* Unsigned (logical) right shift. + * Non-constant time in n. + */ +static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + if (n >= 64) { + r->lo = r->hi >> (n-64); + r->hi = 0; + } else if (n > 0) { +#if defined(_MSC_VER) && defined(_M_X64) + VERIFY_CHECK(n < 64); + r->lo = __shiftright128(r->lo, r->hi, n); +#else + r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; +#endif + r->hi >>= n; + } +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a) { + return a->lo; +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a) { + return a->hi; +} + +static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a) { + r->hi = 0; + r->lo = a; +} + +static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + return n >= 64 ? r->hi >> (n - 64) == 0 + : r->hi == 0 && r->lo >> n == 0; +} + +static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo) { + r->hi = hi; + r->lo = lo; +} + +static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int64_t hi; + r->lo = (uint64_t)secp256k1_mul128(a, b, &hi); + r->hi = (uint64_t)hi; +} + +static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int64_t hi; + uint64_t lo = (uint64_t)secp256k1_mul128(a, b, &hi); + r->lo += lo; + hi += r->lo < lo; + /* Verify no overflow. + * If r represents a positive value (the sign bit is not set) and the value we are adding is a positive value (the sign bit is not set), + * then we require that the resulting value also be positive (the sign bit is not set). + * Note that (X <= Y) means (X implies Y) when X and Y are boolean values (i.e. 0 or 1). + */ + VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi <= 0x7fffffffffffffffu)); + /* Verify no underflow. + * If r represents a negative value (the sign bit is set) and the value we are adding is a negative value (the sign bit is set), + * then we require that the resulting value also be negative (the sign bit is set). + */ + VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi > 0x7fffffffffffffffu)); + r->hi += hi; +} + +static SECP256K1_INLINE void secp256k1_i128_dissip_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int64_t hi; + uint64_t lo = (uint64_t)secp256k1_mul128(a, b, &hi); + hi += r->lo < lo; + /* Verify no overflow. + * If r represents a positive value (the sign bit is not set) and the value we are subtracting is a negative value (the sign bit is set), + * then we require that the resulting value also be positive (the sign bit is not set). + */ + VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi <= 0x7fffffffffffffffu)); + /* Verify no underflow. + * If r represents a negative value (the sign bit is set) and the value we are subtracting is a positive value (the sign sign bit is not set), + * then we require that the resulting value also be negative (the sign bit is set). + */ + VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi > 0x7fffffffffffffffu)); + r->hi -= hi; + r->lo -= lo; +} + +static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d) { + secp256k1_i128_mul(r, a, d); + secp256k1_i128_dissip_mul(r, b, c); +} + +/* Signed (arithmetic) right shift. + * Non-constant time in n. + */ +static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + if (n >= 64) { + r->lo = (uint64_t)((int64_t)(r->hi) >> (n-64)); + r->hi = (uint64_t)((int64_t)(r->hi) >> 63); + } else if (n > 0) { + r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; + r->hi = (uint64_t)((int64_t)(r->hi) >> n); + } +} + +static SECP256K1_INLINE uint64_t secp256k1_i128_to_u64(const secp256k1_int128 *a) { + return a->lo; +} + +static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a) { + /* Verify that a represents a 64 bit signed value by checking that the high bits are a sign extension of the low bits. */ + VERIFY_CHECK(a->hi == -(a->lo >> 63)); + return (int64_t)secp256k1_i128_to_u64(a); +} + +static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a) { + r->hi = (uint64_t)(a >> 63); + r->lo = (uint64_t)a; +} + +static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b) { + return a->hi == b->hi && a->lo == b->lo; +} + +static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) { + VERIFY_CHECK(n < 127); + VERIFY_CHECK(sign == 1 || sign == -1); + return n >= 64 ? r->hi == (uint64_t)sign << (n - 64) && r->lo == 0 + : r->hi == (uint64_t)(sign >> 1) && r->lo == (uint64_t)sign << n; +} + +#endif diff --git a/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1.java b/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1.java deleted file mode 100644 index 4b328432..00000000 --- a/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1.java +++ /dev/null @@ -1,514 +0,0 @@ -/* - * Copyright 2013 Google Inc. - * Copyright 2014-2016 the libsecp256k1 contributors - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -package org.bitcoin; - -import java.nio.ByteBuffer; -import java.nio.ByteOrder; - -import java.math.BigInteger; -import java.util.concurrent.locks.Lock; -import java.util.concurrent.locks.ReentrantReadWriteLock; -import static org.bitcoin.NativeSecp256k1Util.*; - -/** - *

This class holds native methods to handle ECDSA verification.

- * - *

You can find an example library that can be used for this at https://github.com/bitcoin/secp256k1

- * - *

To build secp256k1 for use with bitcoinj, run - * `./configure --enable-jni --enable-experimental --enable-module-ecdh` - * and `make` then copy `.libs/libsecp256k1.so` to your system library path - * or point the JVM to the folder containing it with -Djava.library.path - *

- */ -public class NativeSecp256k1 { - - private static final ReentrantReadWriteLock rwl = new ReentrantReadWriteLock(); - private static final Lock r = rwl.readLock(); - private static final Lock w = rwl.writeLock(); - private static ThreadLocal nativeByteBuffer = new ThreadLocal(); - /** - * Verifies the given secp256k1 signature in native code. - * Calling when enabled == false is undefined (probably library not loaded) - * - * @param data The data which was signed, must be exactly 32 bytes - * @param signature The signature - * @param pub The public key which did the signing - */ - public static boolean verify(byte[] data, byte[] signature, byte[] pub) { - checkArgument(data.length == 32 && signature.length <= 520 && pub.length <= 520); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < 520) { - byteBuff = ByteBuffer.allocateDirect(520); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(data); - byteBuff.put(signature); - byteBuff.put(pub); - - r.lock(); - try { - return secp256k1_ecdsa_verify(byteBuff, Secp256k1Context.getContext(), signature.length, pub.length) == 1; - } finally { - r.unlock(); - } - } - - /** - * libsecp256k1 Create an ECDSA signature. - * - * @param data Message hash, 32 bytes - * @param key Secret key, 32 bytes - * - * Return values - * @param sig byte array of signature - */ - public static byte[] sign(byte[] data, byte[] sec) throws AssertFailException{ - checkArgument(data.length == 32 && sec.length <= 32); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < 32 + 32) { - byteBuff = ByteBuffer.allocateDirect(32 + 32); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(data); - byteBuff.put(sec); - - byte[][] retByteArray; - - r.lock(); - try { - retByteArray = secp256k1_ecdsa_sign(byteBuff, Secp256k1Context.getContext()); - } finally { - r.unlock(); - } - - byte[] sigArr = retByteArray[0]; - int sigLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); - int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); - - assertEquals(sigArr.length, sigLen, "Got bad signature length."); - - return retVal == 0 ? new byte[0] : sigArr; - } - - /** - * libsecp256k1 Seckey Verify - returns 1 if valid, 0 if invalid - * - * @param seckey ECDSA Secret key, 32 bytes - */ - public static boolean secKeyVerify(byte[] seckey) { - checkArgument(seckey.length == 32); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < seckey.length) { - byteBuff = ByteBuffer.allocateDirect(seckey.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(seckey); - - r.lock(); - try { - return secp256k1_ec_seckey_verify(byteBuff,Secp256k1Context.getContext()) == 1; - } finally { - r.unlock(); - } - } - - - /** - * libsecp256k1 Compute Pubkey - computes public key from secret key - * - * @param seckey ECDSA Secret key, 32 bytes - * - * Return values - * @param pubkey ECDSA Public key, 33 or 65 bytes - */ - //TODO add a 'compressed' arg - public static byte[] computePubkey(byte[] seckey) throws AssertFailException{ - checkArgument(seckey.length == 32); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < seckey.length) { - byteBuff = ByteBuffer.allocateDirect(seckey.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(seckey); - - byte[][] retByteArray; - - r.lock(); - try { - retByteArray = secp256k1_ec_pubkey_create(byteBuff, Secp256k1Context.getContext()); - } finally { - r.unlock(); - } - - byte[] pubArr = retByteArray[0]; - int pubLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); - int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); - - assertEquals(pubArr.length, pubLen, "Got bad pubkey length."); - - return retVal == 0 ? new byte[0]: pubArr; - } - - /** - * libsecp256k1 Cleanup - This destroys the secp256k1 context object - * This should be called at the end of the program for proper cleanup of the context. - */ - public static synchronized void cleanup() { - w.lock(); - try { - secp256k1_destroy_context(Secp256k1Context.getContext()); - } finally { - w.unlock(); - } - } - - public static long cloneContext() { - r.lock(); - try { - return secp256k1_ctx_clone(Secp256k1Context.getContext()); - } finally { r.unlock(); } - } - - /** - * libsecp256k1 PrivKey Tweak-Mul - Tweak privkey by multiplying to it - * - * @param tweak some bytes to tweak with - * @param seckey 32-byte seckey - */ - public static byte[] privKeyTweakMul(byte[] privkey, byte[] tweak) throws AssertFailException{ - checkArgument(privkey.length == 32); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) { - byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(privkey); - byteBuff.put(tweak); - - byte[][] retByteArray; - r.lock(); - try { - retByteArray = secp256k1_privkey_tweak_mul(byteBuff,Secp256k1Context.getContext()); - } finally { - r.unlock(); - } - - byte[] privArr = retByteArray[0]; - - int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; - int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); - - assertEquals(privArr.length, privLen, "Got bad pubkey length."); - - assertEquals(retVal, 1, "Failed return value check."); - - return privArr; - } - - /** - * libsecp256k1 PrivKey Tweak-Add - Tweak privkey by adding to it - * - * @param tweak some bytes to tweak with - * @param seckey 32-byte seckey - */ - public static byte[] privKeyTweakAdd(byte[] privkey, byte[] tweak) throws AssertFailException{ - checkArgument(privkey.length == 32); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) { - byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(privkey); - byteBuff.put(tweak); - - byte[][] retByteArray; - r.lock(); - try { - retByteArray = secp256k1_privkey_tweak_add(byteBuff,Secp256k1Context.getContext()); - } finally { - r.unlock(); - } - - byte[] privArr = retByteArray[0]; - - int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; - int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); - - assertEquals(privArr.length, privLen, "Got bad pubkey length."); - - assertEquals(retVal, 1, "Failed return value check."); - - return privArr; - } - - /** - * libsecp256k1 PubKey Tweak-Add - Tweak pubkey by adding to it - * - * @param tweak some bytes to tweak with - * @param pubkey 32-byte seckey - */ - public static byte[] pubKeyTweakAdd(byte[] pubkey, byte[] tweak) throws AssertFailException{ - checkArgument(pubkey.length == 33 || pubkey.length == 65); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) { - byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(pubkey); - byteBuff.put(tweak); - - byte[][] retByteArray; - r.lock(); - try { - retByteArray = secp256k1_pubkey_tweak_add(byteBuff,Secp256k1Context.getContext(), pubkey.length); - } finally { - r.unlock(); - } - - byte[] pubArr = retByteArray[0]; - - int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; - int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); - - assertEquals(pubArr.length, pubLen, "Got bad pubkey length."); - - assertEquals(retVal, 1, "Failed return value check."); - - return pubArr; - } - - /** - * libsecp256k1 PubKey Tweak-Mul - Tweak pubkey by multiplying to it - * - * @param tweak some bytes to tweak with - * @param pubkey 32-byte seckey - */ - public static byte[] pubKeyTweakMul(byte[] pubkey, byte[] tweak) throws AssertFailException{ - checkArgument(pubkey.length == 33 || pubkey.length == 65); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) { - byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(pubkey); - byteBuff.put(tweak); - - byte[][] retByteArray; - r.lock(); - try { - retByteArray = secp256k1_pubkey_tweak_mul(byteBuff,Secp256k1Context.getContext(), pubkey.length); - } finally { - r.unlock(); - } - - byte[] pubArr = retByteArray[0]; - - int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; - int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); - - assertEquals(pubArr.length, pubLen, "Got bad pubkey length."); - - assertEquals(retVal, 1, "Failed return value check."); - - return pubArr; - } - - /** - * libsecp256k1 create ECDH secret - constant time ECDH calculation - * - * @param seckey byte array of secret key used in exponentiaion - * @param pubkey byte array of public key used in exponentiaion - */ - public static byte[] createECDHSecret(byte[] seckey, byte[] pubkey) throws AssertFailException{ - checkArgument(seckey.length <= 32 && pubkey.length <= 65); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < 32 + pubkey.length) { - byteBuff = ByteBuffer.allocateDirect(32 + pubkey.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(seckey); - byteBuff.put(pubkey); - - byte[][] retByteArray; - r.lock(); - try { - retByteArray = secp256k1_ecdh(byteBuff, Secp256k1Context.getContext(), pubkey.length); - } finally { - r.unlock(); - } - - byte[] resArr = retByteArray[0]; - int retVal = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); - - assertEquals(resArr.length, 32, "Got bad result length."); - assertEquals(retVal, 1, "Failed return value check."); - - return resArr; - } - - /** - * libsecp256k1 randomize - updates the context randomization - * - * @param seed 32-byte random seed - */ - public static synchronized boolean randomize(byte[] seed) throws AssertFailException{ - checkArgument(seed.length == 32 || seed == null); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < seed.length) { - byteBuff = ByteBuffer.allocateDirect(seed.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(seed); - - w.lock(); - try { - return secp256k1_context_randomize(byteBuff, Secp256k1Context.getContext()) == 1; - } finally { - w.unlock(); - } - } - - /** - * libsecp256k1 Create a Schnorr signature. - * - * @param data Message hash, 32 bytes - * @param seckey Secret key, 32 bytes - * @return sig byte array of signature - */ - public static byte[] schnorrSign(byte[] data, byte[] seckey) throws AssertFailException { - checkArgument(data.length == 32 && seckey.length <= 32); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < data.length + seckey.length) { - byteBuff = ByteBuffer.allocateDirect(32 + 32); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(data); - byteBuff.put(seckey); - - byte[][] retByteArray; - - r.lock(); - try { - retByteArray = secp256k1_schnorr_sign(byteBuff, Secp256k1Context.getContext()); - } finally { - r.unlock(); - } - - byte[] sigArr = retByteArray[0]; - int retVal = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); - - assertEquals(sigArr.length, 64, "Got bad signature length."); - - return retVal == 0 ? new byte[0] : sigArr; - } - - /** - * Verifies the given Schnorr signature in native code. - * Calling when enabled == false is undefined (probably library not loaded) - * - * @param data The data which was signed, must be exactly 32 bytes - * @param signature The signature is exactly 64 bytes - * @param pub The public key which did the signing which is the same ECDSA - */ - public static boolean schnorrVerify(byte[] data, byte[] signature, byte[] pub) { - checkArgument(data.length == 32 && signature.length == 64 && (pub.length == 33 || pub.length == 65)); - - ByteBuffer byteBuff = nativeByteBuffer.get(); - if (byteBuff == null || byteBuff.capacity() < 32 + 64 + pub.length) { - byteBuff = ByteBuffer.allocateDirect(32 + 64 + pub.length); - byteBuff.order(ByteOrder.nativeOrder()); - nativeByteBuffer.set(byteBuff); - } - byteBuff.rewind(); - byteBuff.put(data); - byteBuff.put(signature); - byteBuff.put(pub); - - r.lock(); - try { - return secp256k1_schnorr_verify(byteBuff, Secp256k1Context.getContext(), pub.length) == 1; - } finally { - r.unlock(); - } - } - - private static native long secp256k1_ctx_clone(long context); - - private static native int secp256k1_context_randomize(ByteBuffer byteBuff, long context); - - private static native byte[][] secp256k1_privkey_tweak_add(ByteBuffer byteBuff, long context); - - private static native byte[][] secp256k1_privkey_tweak_mul(ByteBuffer byteBuff, long context); - - private static native byte[][] secp256k1_pubkey_tweak_add(ByteBuffer byteBuff, long context, int pubLen); - - private static native byte[][] secp256k1_pubkey_tweak_mul(ByteBuffer byteBuff, long context, int pubLen); - - private static native void secp256k1_destroy_context(long context); - - private static native int secp256k1_ecdsa_verify(ByteBuffer byteBuff, long context, int sigLen, int pubLen); - - private static native byte[][] secp256k1_ecdsa_sign(ByteBuffer byteBuff, long context); - - private static native int secp256k1_ec_seckey_verify(ByteBuffer byteBuff, long context); - - private static native byte[][] secp256k1_ec_pubkey_create(ByteBuffer byteBuff, long context); - - private static native byte[][] secp256k1_ec_pubkey_parse(ByteBuffer byteBuff, long context, int inputLen); - - private static native int secp256k1_schnorr_verify(ByteBuffer byteBuff, long context, int pubLen); - - private static native byte[][] secp256k1_schnorr_sign(ByteBuffer byteBuff, long context); - - private static native byte[][] secp256k1_ecdh(ByteBuffer byteBuff, long context, int inputLen); - -} diff --git a/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java b/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java deleted file mode 100644 index ed9c803f..00000000 --- a/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java +++ /dev/null @@ -1,417 +0,0 @@ -package org.bitcoin; - -import static org.bitcoin.NativeSecp256k1Util.*; - -/** - * This class holds test cases defined for testing this library. - */ -public class NativeSecp256k1Test { - - private static byte[] hexStringToByteArray(String s) { - int len = s.length(); - assert len % 2 == 0 : "The hex string length should be even !"; - byte[] byteArray = new byte[len / 2]; - for (int i = 0; i < len; i += 2) { - byteArray[i / 2] = (byte)((Character.digit(s.charAt(i), 16) << 4) + - Character.digit(s.charAt(i + 1), 16)); - } - return byteArray; - } - - private static String byteArrayToHexString(byte[] byteArray) { - StringBuilder stringBuilder = new StringBuilder(byteArray.length * 2); - for(byte b: byteArray) { - stringBuilder.append(String.format("%02X", b)); - } - return stringBuilder.toString(); - } - - //TODO improve comments/add more tests - - /** - * This tests verify() for a valid signature. - */ - public static void testVerifyPos() throws AssertFailException{ - boolean result = false; - - // sha256hash of "testing" - byte[] data = hexStringToByteArray("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90"); - byte[] sig = hexStringToByteArray("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589"); - byte[] pub = hexStringToByteArray("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40"); - - result = NativeSecp256k1.verify(data, sig, pub); - assertEquals(result, true, "testVerifyPos"); - } - - /** - * This tests verify() for a non-valid signature. - */ - public static void testVerifyNeg() throws AssertFailException{ - boolean result = false; - - // sha256hash of "testing" - byte[] data = hexStringToByteArray("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A91"); - byte[] sig = hexStringToByteArray("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589"); - byte[] pub = hexStringToByteArray("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40"); - - result = NativeSecp256k1.verify(data, sig, pub); - assertEquals(result, false, "testVerifyNeg"); - } - - /** - * This tests secret key verify() for a valid secretkey. - */ - public static void testSecKeyVerifyPos() throws AssertFailException{ - boolean result = false; - - byte[] sec = hexStringToByteArray("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530"); - - result = NativeSecp256k1.secKeyVerify(sec); - assertEquals(result, true, "testSecKeyVerifyPos"); - } - - /** - * This tests secret key verify() for an invalid secretkey. - */ - public static void testSecKeyVerifyNeg() throws AssertFailException{ - boolean result = false; - - byte[] sec = hexStringToByteArray("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); - - result = NativeSecp256k1.secKeyVerify(sec); - assertEquals(result, false, "testSecKeyVerifyNeg"); - } - - /** - * This tests public key create() for a valid secretkey. - */ - public static void testPubKeyCreatePos() throws AssertFailException{ - byte[] sec = hexStringToByteArray("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530"); - - byte[] resultArr = NativeSecp256k1.computePubkey(sec); - String pubkeyString = byteArrayToHexString(resultArr); - assertEquals(pubkeyString, "04C591A8FF19AC9C4E4E5793673B83123437E975285E7B442F4EE2654DFFCA5E2D2103ED494718C697AC9AEBCFD19612E224DB46661011863ED2FC54E71861E2A6", "testPubKeyCreatePos"); - } - - /** - * This tests public key create() for a invalid secretkey. - */ - public static void testPubKeyCreateNeg() throws AssertFailException{ - byte[] sec = hexStringToByteArray("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); - - byte[] resultArr = NativeSecp256k1.computePubkey(sec); - String pubkeyString = byteArrayToHexString(resultArr); - assertEquals(pubkeyString, "", "testPubKeyCreateNeg"); - } - - /** - * This tests sign() for a valid secretkey. - */ - public static void testSignPos() throws AssertFailException{ - // sha256hash of "testing" - byte[] data = hexStringToByteArray("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90"); - byte[] sec = hexStringToByteArray("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530"); - - byte[] resultArr = NativeSecp256k1.sign(data, sec); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "3045022100F51D069AA46EDB4E2E77773FE364AA2AF6818AF733EA542CFC4D546640A58D8802204F1C442AC9F26F232451A0C3EE99F6875353FC73902C68055C19E31624F687CC", "testSignPos"); - } - - /** - * This tests sign() for a invalid secretkey. - */ - public static void testSignNeg() throws AssertFailException{ - // sha256hash of "testing" - byte[] data = hexStringToByteArray("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90"); - byte[] sec = hexStringToByteArray("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); - - byte[] resultArr = NativeSecp256k1.sign(data, sec); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "", "testSignNeg"); - } - - /** - * This tests private key tweak-add. - */ - public static void testPrivKeyTweakAdd_1() throws AssertFailException { - // sha256hash of "tweak" - byte[] data = hexStringToByteArray("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3"); - byte[] sec = hexStringToByteArray("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530"); - - byte[] resultArr = NativeSecp256k1.privKeyTweakAdd(sec, data); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "A168571E189E6F9A7E2D657A4B53AE99B909F7E712D1C23CED28093CD57C88F3", "testPrivKeyAdd_1"); - } - - /** - * This tests private key tweak-mul. - */ - public static void testPrivKeyTweakMul_1() throws AssertFailException { - // sha256hash of "tweak" - byte[] data = hexStringToByteArray("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3"); - byte[] sec = hexStringToByteArray("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530"); - - byte[] resultArr = NativeSecp256k1.privKeyTweakMul(sec, data); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "97F8184235F101550F3C71C927507651BD3F1CDB4A5A33B8986ACF0DEE20FFFC", "testPrivKeyMul_1"); - } - - /** - * This tests private key tweak-add uncompressed. - */ - public static void testPrivKeyTweakAdd_2() throws AssertFailException { - // sha256hash of "tweak" - byte[] data = hexStringToByteArray("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3"); - byte[] pub = hexStringToByteArray("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40"); - - byte[] resultArr = NativeSecp256k1.pubKeyTweakAdd(pub ,data); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "0411C6790F4B663CCE607BAAE08C43557EDC1A4D11D88DFCB3D841D0C6A941AF525A268E2A863C148555C48FB5FBA368E88718A46E205FABC3DBA2CCFFAB0796EF", "testPrivKeyAdd_2"); - } - - /** - * This tests private key tweak-mul uncompressed. - */ - public static void testPrivKeyTweakMul_2() throws AssertFailException { - // sha256hash of "tweak" - byte[] data = hexStringToByteArray("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3"); - byte[] pub = hexStringToByteArray("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40"); - - byte[] resultArr = NativeSecp256k1.pubKeyTweakMul(pub, data); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "04E0FE6FE55EBCA626B98A807F6CAF654139E14E5E3698F01A9A658E21DC1D2791EC060D4F412A794D5370F672BC94B722640B5F76914151CFCA6E712CA48CC589", "testPrivKeyMul_2"); - } - - /** - * This tests seed randomization. - */ - public static void testRandomize() throws AssertFailException { - // sha256hash of "random" - byte[] seed = hexStringToByteArray("A441B15FE9A3CF56661190A0B93B9DEC7D04127288CC87250967CF3B52894D11"); - - boolean result = NativeSecp256k1.randomize(seed); - assertEquals(result, true, "testRandomize"); - } - - private static class SchnorrTestVector { - String data; - String sig; - String pubKey; - boolean expected; - String comment; - - SchnorrTestVector(String d, String s, String p, boolean e, String c) { - data = d; - sig = s; - pubKey = p; - expected = e; - comment = c; - } - } - - /** - * This tests schnorrVerify() for a valid signature. - * It tests the following test vectors: - * https://github.com/sipa/bips/blob/bip-schnorr/bip-schnorr/test-vectors.csv - */ - public static void testSchnorrVerify() throws AssertFailException{ - SchnorrTestVector[] tests = new SchnorrTestVector[]{ - new SchnorrTestVector( - "0000000000000000000000000000000000000000000000000000000000000000", - "787A848E71043D280C50470E8E1532B2DD5D20EE912A45DBDD2BD1DFBF187EF67031A98831859DC34DFFEEDDA86831842CCD0079E1F92AF177F7F22CC1DCED05", - "0279BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", - true, - "success" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "2A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D1E51A22CCEC35599B8F266912281F8365FFC2D035A230434A1A64DC59F7013FD", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - true, - "success" - ), - new SchnorrTestVector( - "5E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C", - "00DA9B08172A9B6F0466A2DEFD817F2D7AB437E0D253CB5395A963866B3574BE00880371D01766935B92D2AB4CD5C8A2A5837EC57FED7660773A05F0DE142380", - "03FAC2114C2FBB091527EB7C64ECB11F8021CB45E8E7809D3C0938E4B8C0E5F84B", - true, - "success" - ), - new SchnorrTestVector( - "4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703", - "00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6302A8DC32E64E86A333F20EF56EAC9BA30B7246D6D25E22ADB8C6BE1AEB08D49D", - "03DEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34", - true, - "success" - ), - new SchnorrTestVector( - "0000000000000000000000000000000000000000000000000000000000000000", - "52818579ACA59767E3291D91B76B637BEF062083284992F2D95F564CA6CB4E3530B1DA849C8E8304ADC0CFE870660334B3CFC18E825EF1DB34CFAE3DFC5D8187", - "031B84C5567B126440995D3ED5AABA0565D71E1834604819FF9C17F5E9D5DD078F", - true, - "success" - ), - new SchnorrTestVector( - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", - "570DD4CA83D4E6317B8EE6BAE83467A1BF419D0767122DE409394414B05080DCE9EE5F237CBD108EABAE1E37759AE47F8E4203DA3532EB28DB860F33D62D49BD", - "03FAC2114C2FBB091527EB7C64ECB11F8021CB45E8E7809D3C0938E4B8C0E5F84B", - true, - "success" - ), - new SchnorrTestVector( - "4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703", - "00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6302A8DC32E64E86A333F20EF56EAC9BA30B7246D6D25E22ADB8C6BE1AEB08D49D", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "public key not on the curve" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "2A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1DFA16AEE06609280A19B67A24E1977E4697712B5FD2943914ECD5F730901B4AB7", - "03EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34", - false, - "incorrect R residuosity" - ), - new SchnorrTestVector( - "5E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C", - "00DA9B08172A9B6F0466A2DEFD817F2D7AB437E0D253CB5395A963866B3574BED092F9D860F1776A1F7412AD8A1EB50DACCC222BC8C0E26B2056DF2F273EFDEC", - "03FAC2114C2FBB091527EB7C64ECB11F8021CB45E8E7809D3C0938E4B8C0E5F84B", - false, - "negated message hash" - ), - new SchnorrTestVector( - "0000000000000000000000000000000000000000000000000000000000000000", - "787A848E71043D280C50470E8E1532B2DD5D20EE912A45DBDD2BD1DFBF187EF68FCE5677CE7A623CB20011225797CE7A8DE1DC6CCD4F754A47DA6C600E59543C", - "0279BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", - false, - "negated s value" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "2A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D1E51A22CCEC35599B8F266912281F8365FFC2D035A230434A1A64DC59F7013FD", - "03DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "negated public key" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "00000000000000000000000000000000000000000000000000000000000000009E9D01AF988B5CEDCE47221BFA9B222721F3FA408915444A4B489021DB55775F", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "sG - eP is infinite. Test fails in single verification if jacobi(y(inf)) is defined as 1 and x(inf) as 0" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "0000000000000000000000000000000000000000000000000000000000000001D37DDF0254351836D84B1BD6A795FD5D523048F298C4214D187FE4892947F728", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "sG - eP is infinite. Test fails in single verification if jacobi(y(inf)) is defined as 1 and x(inf) as 1" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D1E51A22CCEC35599B8F266912281F8365FFC2D035A230434A1A64DC59F7013FD", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "sig[0:32] is not an X coordinate on the curve" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC2F1E51A22CCEC35599B8F266912281F8365FFC2D035A230434A1A64DC59F7013FD", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "sig[0:32] is equal to field size" - ), - new SchnorrTestVector( - "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", - "2A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1DFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", - "02DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", - false, - "sig[32:64] is equal to curve order" - ) - }; - int i = 0; - for(SchnorrTestVector test : tests) { - boolean expected = test.expected; - byte[] data = hexStringToByteArray(test.data); - byte[] sig = hexStringToByteArray(test.sig); - byte[] pub = hexStringToByteArray(test.pubKey); - boolean result = NativeSecp256k1.schnorrVerify(data, sig, pub); - - String testMsg = String.join(" ", "testSchnorrVerify", String.valueOf(i++), String.valueOf(expected), test.comment); - - assertEquals(result, expected, testMsg); - } - } - - /** - * This tests signSchnorr() for a valid secretkey. - */ - public static void testSchnorrSign() throws AssertFailException{ - // sha256(sha256("Very deterministic message")) - byte[] data = hexStringToByteArray("5255683DA567900BFD3E786ED8836A4E7763C221BF1AC20ECE2A5171B9199E8A"); - byte[] sec = hexStringToByteArray("12B004FFF7F4B69EF8650E767F18F11EDE158148B425660723B9F9A66E61F747"); - - byte[] resultArr = NativeSecp256k1.schnorrSign(data, sec); - String sigString = byteArrayToHexString(resultArr); - assertEquals(sigString, "2C56731AC2F7A7E7F11518FC7722A166B02438924CA9D8B4D111347B81D0717571846DE67AD3D913A8FDF9D8F3F73161A4C48AE81CB183B214765FEB86E255CE", "testSchnorrSign"); - } - - public static void testCreateECDHSecret() throws AssertFailException{ - byte[] sec = hexStringToByteArray("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530"); - byte[] pub = hexStringToByteArray("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40"); - - byte[] resultArr = NativeSecp256k1.createECDHSecret(sec, pub); - String ecdhString = byteArrayToHexString(resultArr); - assertEquals(ecdhString, "2A2A67007A926E6594AF3EB564FC74005B37A9C8AEF2033C4552051B5C87F043", "testCreateECDHSecret"); - } - - public static void main(String[] args) throws AssertFailException{ - System.out.println("\nlibsecp256k1 enabled: " + Secp256k1Context.isEnabled() + "\n"); - - assertEquals(Secp256k1Context.isEnabled(), true, "isEnabled"); - - // Test verify() success/fail - testVerifyPos(); - testVerifyNeg(); - - // Test secKeyVerify() success/fail - testSecKeyVerifyPos(); - testSecKeyVerifyNeg(); - - // Test computePubkey() success/fail - testPubKeyCreatePos(); - testPubKeyCreateNeg(); - - // Test sign() success/fail - testSignPos(); - testSignNeg(); - - // Test privKeyTweakAdd() 1 - testPrivKeyTweakAdd_1(); - - // Test privKeyTweakMul() 2 - testPrivKeyTweakMul_1(); - - // Test privKeyTweakAdd() 3 - testPrivKeyTweakAdd_2(); - - // Test privKeyTweakMul() 4 - testPrivKeyTweakMul_2(); - - // Test randomize() - testRandomize(); - - // Test verifySchnorr() success/fail - testSchnorrVerify(); - - // Test schnorrSign() - testSchnorrSign(); - - // Test ECDH - testCreateECDHSecret(); - - NativeSecp256k1.cleanup(); - - System.out.println("All tests passed."); - } -} diff --git a/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java b/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java deleted file mode 100644 index 54c6fcc5..00000000 --- a/src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java +++ /dev/null @@ -1,51 +0,0 @@ -/* - * Copyright 2014-2016 the libsecp256k1 contributors - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -package org.bitcoin; - -public class NativeSecp256k1Util{ - - public static void assertEquals( int val, int val2, String message ) throws AssertFailException{ - if( val != val2 ) - throw new AssertFailException("FAIL: " + message); - } - - public static void assertEquals( boolean val, boolean val2, String message ) throws AssertFailException{ - if( val != val2 ) - throw new AssertFailException("FAIL: " + message); - else - System.out.println("PASS: " + message); - } - - public static void assertEquals( String val, String val2, String message ) throws AssertFailException{ - if( !val.equals(val2) ) - throw new AssertFailException("FAIL: " + message); - else - System.out.println("PASS: " + message); - } - - public static void checkArgument(boolean expression) { - if (!expression) { - throw new IllegalArgumentException(); - } - } - - public static class AssertFailException extends Exception { - public AssertFailException(String message) { - super( message ); - } - } -} diff --git a/src/secp256k1/src/java/org/bitcoin/Secp256k1Context.java b/src/secp256k1/src/java/org/bitcoin/Secp256k1Context.java deleted file mode 100644 index 5c615bb4..00000000 --- a/src/secp256k1/src/java/org/bitcoin/Secp256k1Context.java +++ /dev/null @@ -1,51 +0,0 @@ -/* - * Copyright 2014-2016 the libsecp256k1 contributors - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -package org.bitcoin; - -/** - * This class holds the context reference used in native methods - * to handle ECDSA operations. - */ -public class Secp256k1Context { - private static final boolean enabled; //true if the library is loaded - private static final long context; //ref to pointer to context obj - - static { //static initializer - boolean isEnabled = true; - long contextRef = -1; - try { - System.loadLibrary("secp256k1_jni"); - contextRef = secp256k1_init_context(); - } catch (UnsatisfiedLinkError e) { - System.out.println("UnsatisfiedLinkError: " + e.toString()); - isEnabled = false; - } - enabled = isEnabled; - context = contextRef; - } - - public static boolean isEnabled() { - return enabled; - } - - public static long getContext() { - if(!enabled) return -1; //sanity check - return context; - } - - private static native long secp256k1_init_context(); -} diff --git a/src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.c b/src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.c deleted file mode 100644 index cea1f854..00000000 --- a/src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.c +++ /dev/null @@ -1,431 +0,0 @@ -#include -#include -#include -#include "org_bitcoin_NativeSecp256k1.h" -#include "include/secp256k1.h" -#include "include/secp256k1_ecdh.h" -#include "include/secp256k1_recovery.h" -#include "include/secp256k1_schnorr.h" - -SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone - (JNIEnv* env, jclass classObject, jlong ctx_l) -{ - const secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - - jlong ctx_clone_l = (uintptr_t) secp256k1_context_clone(ctx); - - (void)classObject;(void)env; - - return ctx_clone_l; - -} - -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - - const unsigned char* seed = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - - (void)classObject; - - return secp256k1_context_randomize(ctx, seed); - -} - -SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context - (JNIEnv* env, jclass classObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - - secp256k1_context_destroy(ctx); - - (void)classObject;(void)env; -} - -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint siglen, jint publen) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - - unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* sigdata = { (unsigned char*) (data + 32) }; - const unsigned char* pubdata = { (unsigned char*) (data + siglen + 32) }; - - secp256k1_ecdsa_signature sig; - secp256k1_pubkey pubkey; - - int ret = secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigdata, siglen); - - if( ret ) { - ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen); - - if( ret ) { - ret = secp256k1_ecdsa_verify(ctx, &sig, data, &pubkey); - } - } - - (void)classObject; - - return ret; -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - unsigned char* secKey = (unsigned char*) (data + 32); - - jobjectArray retArray; - jbyteArray sigArray, intsByteArray; - unsigned char intsarray[2]; - - secp256k1_ecdsa_signature sig; - - int ret = secp256k1_ecdsa_sign(ctx, &sig, data, secKey, NULL, NULL); - - unsigned char outputSer[72]; - size_t outputLen = 72; - - if( ret ) { - int ret2 = secp256k1_ecdsa_signature_serialize_der(ctx,outputSer, &outputLen, &sig ); (void)ret2; - } - - intsarray[0] = outputLen; - intsarray[1] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - sigArray = (*env)->NewByteArray(env, outputLen); - (*env)->SetByteArrayRegion(env, sigArray, 0, outputLen, (jbyte*)outputSer); - (*env)->SetObjectArrayElement(env, retArray, 0, sigArray); - - intsByteArray = (*env)->NewByteArray(env, 2); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} - -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - - (void)classObject; - - return secp256k1_ec_seckey_verify(ctx, secKey); -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - const unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - - secp256k1_pubkey pubkey; - - jobjectArray retArray; - jbyteArray pubkeyArray, intsByteArray; - unsigned char intsarray[2]; - - int ret = secp256k1_ec_pubkey_create(ctx, &pubkey, secKey); - - unsigned char outputSer[65]; - size_t outputLen = 65; - - if( ret ) { - int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2; - } - - intsarray[0] = outputLen; - intsarray[1] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - pubkeyArray = (*env)->NewByteArray(env, outputLen); - (*env)->SetByteArrayRegion(env, pubkeyArray, 0, outputLen, (jbyte*)outputSer); - (*env)->SetObjectArrayElement(env, retArray, 0, pubkeyArray); - - intsByteArray = (*env)->NewByteArray(env, 2); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; - -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* tweak = (unsigned char*) (privkey + 32); - - jobjectArray retArray; - jbyteArray privArray, intsByteArray; - unsigned char intsarray[2]; - - int privkeylen = 32; - - int ret = secp256k1_ec_privkey_tweak_add(ctx, privkey, tweak); - - intsarray[0] = privkeylen; - intsarray[1] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - privArray = (*env)->NewByteArray(env, privkeylen); - (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey); - (*env)->SetObjectArrayElement(env, retArray, 0, privArray); - - intsByteArray = (*env)->NewByteArray(env, 2); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* tweak = (unsigned char*) (privkey + 32); - - jobjectArray retArray; - jbyteArray privArray, intsByteArray; - unsigned char intsarray[2]; - - int privkeylen = 32; - - int ret = secp256k1_ec_privkey_tweak_mul(ctx, privkey, tweak); - - intsarray[0] = privkeylen; - intsarray[1] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - privArray = (*env)->NewByteArray(env, privkeylen); - (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey); - (*env)->SetObjectArrayElement(env, retArray, 0, privArray); - - intsByteArray = (*env)->NewByteArray(env, 2); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; -/* secp256k1_pubkey* pubkey = (secp256k1_pubkey*) (*env)->GetDirectBufferAddress(env, byteBufferObject);*/ - unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* tweak = (unsigned char*) (pkey + publen); - - jobjectArray retArray; - jbyteArray pubArray, intsByteArray; - unsigned char intsarray[2]; - unsigned char outputSer[65]; - size_t outputLen = 65; - - secp256k1_pubkey pubkey; - int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen); - - if( ret ) { - ret = secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, tweak); - } - - if( ret ) { - int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2; - } - - intsarray[0] = outputLen; - intsarray[1] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - pubArray = (*env)->NewByteArray(env, outputLen); - (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer); - (*env)->SetObjectArrayElement(env, retArray, 0, pubArray); - - intsByteArray = (*env)->NewByteArray(env, 2); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* tweak = (unsigned char*) (pkey + publen); - - jobjectArray retArray; - jbyteArray pubArray, intsByteArray; - unsigned char intsarray[2]; - unsigned char outputSer[65]; - size_t outputLen = 65; - - secp256k1_pubkey pubkey; - int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen); - - if ( ret ) { - ret = secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, tweak); - } - - if( ret ) { - int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2; - } - - intsarray[0] = outputLen; - intsarray[1] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - pubArray = (*env)->NewByteArray(env, outputLen); - (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer); - (*env)->SetObjectArrayElement(env, retArray, 0, pubArray); - - intsByteArray = (*env)->NewByteArray(env, 2); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} - -SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1pubkey_1combine - (JNIEnv * env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint numkeys) -{ - (void)classObject;(void)env;(void)byteBufferObject;(void)ctx_l;(void)numkeys; - - return 0; -} - -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1schnorr_1verify - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - - unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* sigdata = { (unsigned char*) (data + 32) }; - const unsigned char* pubdata = { (unsigned char*) (data + 32 + 64) }; - - secp256k1_pubkey pubkey; - int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen); - - if( ret ) { - ret = secp256k1_schnorr_verify(ctx, sigdata, data, &pubkey); - } - - (void)classObject; - - return ret; -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1schnorr_1sign - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - unsigned char* secKey = (unsigned char*) (data + 32); - - jobjectArray retArray; - jbyteArray sigArray, intsByteArray; - unsigned char intsarray[1]; - unsigned char sig[64]; - - intsarray[0] = secp256k1_schnorr_sign(ctx, sig, data, secKey, NULL, NULL); - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - sigArray = (*env)->NewByteArray(env, 64); - (*env)->SetByteArrayRegion(env, sigArray, 0, 64, (jbyte*)sig); - (*env)->SetObjectArrayElement(env, retArray, 0, sigArray); - - intsByteArray = (*env)->NewByteArray(env, 1); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 1, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} - -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) -{ - secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; - const unsigned char* secdata = (*env)->GetDirectBufferAddress(env, byteBufferObject); - const unsigned char* pubdata = (const unsigned char*) (secdata + 32); - - jobjectArray retArray; - jbyteArray outArray, intsByteArray; - unsigned char intsarray[1]; - secp256k1_pubkey pubkey; - unsigned char nonce_res[32]; - size_t outputLen = 32; - - int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen); - - if (ret) { - ret = secp256k1_ecdh( - ctx, - nonce_res, - &pubkey, - secdata, - NULL, - NULL - ); - } - - intsarray[0] = ret; - - retArray = (*env)->NewObjectArray(env, 2, - (*env)->FindClass(env, "[B"), - (*env)->NewByteArray(env, 1)); - - outArray = (*env)->NewByteArray(env, outputLen); - (*env)->SetByteArrayRegion(env, outArray, 0, 32, (jbyte*)nonce_res); - (*env)->SetObjectArrayElement(env, retArray, 0, outArray); - - intsByteArray = (*env)->NewByteArray(env, 1); - (*env)->SetByteArrayRegion(env, intsByteArray, 0, 1, (jbyte*)intsarray); - (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); - - (void)classObject; - - return retArray; -} diff --git a/src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.h b/src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.h deleted file mode 100644 index dcbcfc2d..00000000 --- a/src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.h +++ /dev/null @@ -1,135 +0,0 @@ -/* DO NOT EDIT THIS FILE - it is machine generated */ -#include -#include "include/secp256k1.h" -/* Header for class org_bitcoin_NativeSecp256k1 */ - -#ifndef _Included_org_bitcoin_NativeSecp256k1 -#define _Included_org_bitcoin_NativeSecp256k1 -#ifdef __cplusplus -extern "C" { -#endif -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ctx_clone - * Signature: (J)J - */ -SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone - (JNIEnv *, jclass, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_context_randomize - * Signature: (Ljava/nio/ByteBuffer;J)I - */ -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_privkey_tweak_add - * Signature: (Ljava/nio/ByteBuffer;J)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_privkey_tweak_mul - * Signature: (Ljava/nio/ByteBuffer;J)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_pubkey_tweak_add - * Signature: (Ljava/nio/ByteBuffer;JI)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add - (JNIEnv *, jclass, jobject, jlong, jint); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_pubkey_tweak_mul - * Signature: (Ljava/nio/ByteBuffer;JI)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul - (JNIEnv *, jclass, jobject, jlong, jint); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_destroy_context - * Signature: (J)V - */ -SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context - (JNIEnv *, jclass, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ecdsa_verify - * Signature: (Ljava/nio/ByteBuffer;JII)I - */ -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify - (JNIEnv *, jclass, jobject, jlong, jint, jint); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ecdsa_sign - * Signature: (Ljava/nio/ByteBuffer;J)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ec_seckey_verify - * Signature: (Ljava/nio/ByteBuffer;J)I - */ -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ec_pubkey_create - * Signature: (Ljava/nio/ByteBuffer;J)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ec_pubkey_parse - * Signature: (Ljava/nio/ByteBuffer;JI)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1parse - (JNIEnv *, jclass, jobject, jlong, jint); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_schnorr_verify - * Signature: (Ljava/nio/ByteBuffer;JI)I - */ -SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1schnorr_1verify - (JNIEnv *, jclass, jobject, jlong, jint); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_schnorr_sign - * Signature: (Ljava/nio/ByteBuffer;J)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1schnorr_1sign - (JNIEnv *, jclass, jobject, jlong); - -/* - * Class: org_bitcoin_NativeSecp256k1 - * Method: secp256k1_ecdh - * Signature: (Ljava/nio/ByteBuffer;JI)[[B - */ -SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh - (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen); - - -#ifdef __cplusplus -} -#endif -#endif diff --git a/src/secp256k1/src/java/org_bitcoin_Secp256k1Context.c b/src/secp256k1/src/java/org_bitcoin_Secp256k1Context.c deleted file mode 100644 index a52939e7..00000000 --- a/src/secp256k1/src/java/org_bitcoin_Secp256k1Context.c +++ /dev/null @@ -1,15 +0,0 @@ -#include -#include -#include "org_bitcoin_Secp256k1Context.h" -#include "include/secp256k1.h" - -SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context - (JNIEnv* env, jclass classObject) -{ - secp256k1_context *ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - - (void)classObject;(void)env; - - return (uintptr_t)ctx; -} - diff --git a/src/secp256k1/src/java/org_bitcoin_Secp256k1Context.h b/src/secp256k1/src/java/org_bitcoin_Secp256k1Context.h deleted file mode 100644 index 0d2bc84b..00000000 --- a/src/secp256k1/src/java/org_bitcoin_Secp256k1Context.h +++ /dev/null @@ -1,22 +0,0 @@ -/* DO NOT EDIT THIS FILE - it is machine generated */ -#include -#include "include/secp256k1.h" -/* Header for class org_bitcoin_Secp256k1Context */ - -#ifndef _Included_org_bitcoin_Secp256k1Context -#define _Included_org_bitcoin_Secp256k1Context -#ifdef __cplusplus -extern "C" { -#endif -/* - * Class: org_bitcoin_Secp256k1Context - * Method: secp256k1_init_context - * Signature: ()J - */ -SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context - (JNIEnv *, jclass); - -#ifdef __cplusplus -} -#endif -#endif diff --git a/src/secp256k1/src/libsecp256k1-config.h.cmake.in b/src/secp256k1/src/libsecp256k1-config.h.cmake.in deleted file mode 100644 index 96443e80..00000000 --- a/src/secp256k1/src/libsecp256k1-config.h.cmake.in +++ /dev/null @@ -1,39 +0,0 @@ -/* Copyright (c) 2017 The Bitcoin developers */ - -#ifndef LIBSECP256K1_CONFIG_H -#define LIBSECP256K1_CONFIG_H - -#cmakedefine HAVE___INT128 - -#cmakedefine USE_NUM_GMP -#cmakedefine USE_FIELD_INV_NUM -#cmakedefine USE_SCALAR_INV_NUM - -#cmakedefine USE_NUM_NONE -#cmakedefine USE_FIELD_INV_BUILTIN -#cmakedefine USE_SCALAR_INV_BUILTIN - -#cmakedefine USE_SCALAR_4X64 -#cmakedefine USE_FIELD_5X52 - -#cmakedefine USE_SCALAR_8X32 -#cmakedefine USE_FIELD_10X26 - -#cmakedefine USE_ASM_X86_64 -#cmakedefine USE_EXTERNAL_ASM - -#cmakedefine USE_ENDOMORPHISM -#cmakedefine USE_EXTERNAL_DEFAULT_CALLBACKS - -#cmakedefine USE_ECMULT_STATIC_PRECOMPUTATION -#define ECMULT_WINDOW_SIZE ${SECP256K1_ECMULT_WINDOW_SIZE} -#define ECMULT_GEN_PREC_BITS ${SECP256K1_ECMULT_GEN_PRECISION} - -#cmakedefine ENABLE_MODULE_ECDH -#cmakedefine ENABLE_MODULE_MULTISET -#cmakedefine ENABLE_MODULE_RECOVERY -#cmakedefine ENABLE_MODULE_SCHNORR - -#cmakedefine COVERAGE - -#endif /* LIBSECP256K1_CONFIG_H */ diff --git a/src/secp256k1/src/modinv32.h b/src/secp256k1/src/modinv32.h new file mode 100644 index 00000000..846c642f --- /dev/null +++ b/src/secp256k1/src/modinv32.h @@ -0,0 +1,43 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV32_H +#define SECP256K1_MODINV32_H + +#include "util.h" + +/* A signed 30-bit limb representation of integers. + * + * Its value is sum(v[i] * 2^(30*i), i=0..8). */ +typedef struct { + int32_t v[9]; +} secp256k1_modinv32_signed30; + +typedef struct { + /* The modulus in signed30 notation, must be odd and in [3, 2^256]. */ + secp256k1_modinv32_signed30 modulus; + + /* modulus^{-1} mod 2^30 */ + uint32_t modulus_inv30; +} secp256k1_modinv32_modinfo; + +/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus). + * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of + * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime. + * + * On output, all of x's limbs will be in [0, 2^30). + */ +static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo); + +/* Same as secp256k1_modinv32_var, but constant time in x (not in the modulus). */ +static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo); + +/* Compute the Jacobi symbol for (x | modinfo->modulus). x must be coprime with modulus (and thus + * cannot be 0, as modulus >= 3). All limbs of x must be non-negative. Returns 0 if the result + * cannot be computed. */ +static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo); + +#endif /* SECP256K1_MODINV32_H */ diff --git a/src/secp256k1/src/modinv32_impl.h b/src/secp256k1/src/modinv32_impl.h new file mode 100644 index 00000000..981d2abc --- /dev/null +++ b/src/secp256k1/src/modinv32_impl.h @@ -0,0 +1,725 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV32_IMPL_H +#define SECP256K1_MODINV32_IMPL_H + +#include "modinv32.h" + +#include "util.h" + +#include + +/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and + * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang. + * + * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an + * implementation for N=30, using 30-bit signed limbs represented as int32_t. + */ + +#ifdef VERIFY +static const secp256k1_modinv32_signed30 SECP256K1_SIGNED30_ONE = {{1}}; + +/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^30). */ +static void secp256k1_modinv32_mul_30(secp256k1_modinv32_signed30 *r, const secp256k1_modinv32_signed30 *a, int alen, int32_t factor) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + int64_t c = 0; + int i; + for (i = 0; i < 8; ++i) { + if (i < alen) c += (int64_t)a->v[i] * factor; + r->v[i] = (int32_t)c & M30; c >>= 30; + } + if (8 < alen) c += (int64_t)a->v[8] * factor; + VERIFY_CHECK(c == (int32_t)c); + r->v[8] = (int32_t)c; +} + +/* Return -1 for ab*factor. A consists of alen limbs; b has 9. */ +static int secp256k1_modinv32_mul_cmp_30(const secp256k1_modinv32_signed30 *a, int alen, const secp256k1_modinv32_signed30 *b, int32_t factor) { + int i; + secp256k1_modinv32_signed30 am, bm; + secp256k1_modinv32_mul_30(&am, a, alen, 1); /* Normalize all but the top limb of a. */ + secp256k1_modinv32_mul_30(&bm, b, 9, factor); + for (i = 0; i < 8; ++i) { + /* Verify that all but the top limb of a and b are normalized. */ + VERIFY_CHECK(am.v[i] >> 30 == 0); + VERIFY_CHECK(bm.v[i] >> 30 == 0); + } + for (i = 8; i >= 0; --i) { + if (am.v[i] < bm.v[i]) return -1; + if (am.v[i] > bm.v[i]) return 1; + } + return 0; +} +#endif + +/* Take as input a signed30 number in range (-2*modulus,modulus), and add a multiple of the modulus + * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the + * process. The input must have limbs in range (-2^30,2^30). The output will have limbs in range + * [0,2^30). */ +static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int32_t sign, const secp256k1_modinv32_modinfo *modinfo) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + int32_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4], + r5 = r->v[5], r6 = r->v[6], r7 = r->v[7], r8 = r->v[8]; + volatile int32_t cond_add, cond_negate; + +#ifdef VERIFY + /* Verify that all limbs are in range (-2^30,2^30). */ + int i; + for (i = 0; i < 9; ++i) { + VERIFY_CHECK(r->v[i] >= -M30); + VERIFY_CHECK(r->v[i] <= M30); + } + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, -2) > 0); /* r > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */ +#endif + + /* In a first step, add the modulus if the input is negative, and then negate if requested. + * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input + * limbs are in range (-2^30,2^30), this cannot overflow an int32_t. Note that the right + * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is + * indeed the behavior of the right shift operator). */ + cond_add = r8 >> 31; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + r5 += modinfo->modulus.v[5] & cond_add; + r6 += modinfo->modulus.v[6] & cond_add; + r7 += modinfo->modulus.v[7] & cond_add; + r8 += modinfo->modulus.v[8] & cond_add; + cond_negate = sign >> 31; + r0 = (r0 ^ cond_negate) - cond_negate; + r1 = (r1 ^ cond_negate) - cond_negate; + r2 = (r2 ^ cond_negate) - cond_negate; + r3 = (r3 ^ cond_negate) - cond_negate; + r4 = (r4 ^ cond_negate) - cond_negate; + r5 = (r5 ^ cond_negate) - cond_negate; + r6 = (r6 ^ cond_negate) - cond_negate; + r7 = (r7 ^ cond_negate) - cond_negate; + r8 = (r8 ^ cond_negate) - cond_negate; + /* Propagate the top bits, to bring limbs back to range (-2^30,2^30). */ + r1 += r0 >> 30; r0 &= M30; + r2 += r1 >> 30; r1 &= M30; + r3 += r2 >> 30; r2 &= M30; + r4 += r3 >> 30; r3 &= M30; + r5 += r4 >> 30; r4 &= M30; + r6 += r5 >> 30; r5 &= M30; + r7 += r6 >> 30; r6 &= M30; + r8 += r7 >> 30; r7 &= M30; + + /* In a second step add the modulus again if the result is still negative, bringing r to range + * [0,modulus). */ + cond_add = r8 >> 31; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + r5 += modinfo->modulus.v[5] & cond_add; + r6 += modinfo->modulus.v[6] & cond_add; + r7 += modinfo->modulus.v[7] & cond_add; + r8 += modinfo->modulus.v[8] & cond_add; + /* And propagate again. */ + r1 += r0 >> 30; r0 &= M30; + r2 += r1 >> 30; r1 &= M30; + r3 += r2 >> 30; r2 &= M30; + r4 += r3 >> 30; r3 &= M30; + r5 += r4 >> 30; r4 &= M30; + r6 += r5 >> 30; r5 &= M30; + r7 += r6 >> 30; r6 &= M30; + r8 += r7 >> 30; r7 &= M30; + + r->v[0] = r0; + r->v[1] = r1; + r->v[2] = r2; + r->v[3] = r3; + r->v[4] = r4; + r->v[5] = r5; + r->v[6] = r6; + r->v[7] = r7; + r->v[8] = r8; + + VERIFY_CHECK(r0 >> 30 == 0); + VERIFY_CHECK(r1 >> 30 == 0); + VERIFY_CHECK(r2 >> 30 == 0); + VERIFY_CHECK(r3 >> 30 == 0); + VERIFY_CHECK(r4 >> 30 == 0); + VERIFY_CHECK(r5 >> 30 == 0); + VERIFY_CHECK(r6 >> 30 == 0); + VERIFY_CHECK(r7 >> 30 == 0); + VERIFY_CHECK(r8 >> 30 == 0); + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 0) >= 0); /* r >= 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */ +} + +/* Data type for transition matrices (see section 3 of explanation). + * + * t = [ u v ] + * [ q r ] + */ +typedef struct { + int32_t u, v, q, r; +} secp256k1_modinv32_trans2x2; + +/* Compute the transition matrix and zeta for 30 divsteps. + * + * Input: zeta: initial zeta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final zeta + * + * Implements the divsteps_n_matrix function from the explanation. + */ +static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) { + /* u,v,q,r are the elements of the transformation matrix being built up, + * starting with the identity matrix. Semantically they are signed integers + * in range [-2^30,2^30], but here represented as unsigned mod 2^32. This + * permits left shifting (which is UB for negative numbers). The range + * being inside [-2^31,2^31) means that casting to signed works correctly. + */ + uint32_t u = 1, v = 0, q = 0, r = 1; + volatile uint32_t c1, c2; + uint32_t mask1, mask2, f = f0, g = g0, x, y, z; + int i; + + for (i = 0; i < 30; ++i) { + VERIFY_CHECK((f & 1) == 1); /* f must always be odd */ + VERIFY_CHECK((u * f0 + v * g0) == f << i); + VERIFY_CHECK((q * f0 + r * g0) == g << i); + /* Compute conditional masks for (zeta < 0) and for (g & 1). */ + c1 = zeta >> 31; + mask1 = c1; + c2 = g & 1; + mask2 = -c2; + /* Compute x,y,z, conditionally negated versions of f,u,v. */ + x = (f ^ mask1) - mask1; + y = (u ^ mask1) - mask1; + z = (v ^ mask1) - mask1; + /* Conditionally add x,y,z to g,q,r. */ + g += x & mask2; + q += y & mask2; + r += z & mask2; + /* In what follows, mask1 is a condition mask for (zeta < 0) and (g & 1). */ + mask1 &= mask2; + /* Conditionally change zeta into -zeta-2 or zeta-1. */ + zeta = (zeta ^ mask1) - 1; + /* Conditionally add g,q,r to f,u,v. */ + f += g & mask1; + u += q & mask1; + v += r & mask1; + /* Shifts */ + g >>= 1; + u <<= 1; + v <<= 1; + /* Bounds on zeta that follow from the bounds on iteration count (max 20*30 divsteps). */ + VERIFY_CHECK(zeta >= -601 && zeta <= 601); + } + /* Return data in t and return value. */ + t->u = (int32_t)u; + t->v = (int32_t)v; + t->q = (int32_t)q; + t->r = (int32_t)r; + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2, the + * aggregate of 30 of them will have determinant 2^30. */ + VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30); + return zeta; +} + +/* secp256k1_modinv32_inv256[i] = -(2*i+1)^-1 (mod 256) */ +static const uint8_t secp256k1_modinv32_inv256[128] = { + 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59, + 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31, + 0x2F, 0x05, 0xE3, 0x79, 0xF7, 0x0D, 0xEB, 0x41, 0x3F, 0x95, 0x73, 0x89, + 0x07, 0x9D, 0x7B, 0x51, 0x4F, 0x25, 0x03, 0x99, 0x17, 0x2D, 0x0B, 0x61, + 0x5F, 0xB5, 0x93, 0xA9, 0x27, 0xBD, 0x9B, 0x71, 0x6F, 0x45, 0x23, 0xB9, + 0x37, 0x4D, 0x2B, 0x81, 0x7F, 0xD5, 0xB3, 0xC9, 0x47, 0xDD, 0xBB, 0x91, + 0x8F, 0x65, 0x43, 0xD9, 0x57, 0x6D, 0x4B, 0xA1, 0x9F, 0xF5, 0xD3, 0xE9, + 0x67, 0xFD, 0xDB, 0xB1, 0xAF, 0x85, 0x63, 0xF9, 0x77, 0x8D, 0x6B, 0xC1, + 0xBF, 0x15, 0xF3, 0x09, 0x87, 0x1D, 0xFB, 0xD1, 0xCF, 0xA5, 0x83, 0x19, + 0x97, 0xAD, 0x8B, 0xE1, 0xDF, 0x35, 0x13, 0x29, 0xA7, 0x3D, 0x1B, 0xF1, + 0xEF, 0xC5, 0xA3, 0x39, 0xB7, 0xCD, 0xAB, 0x01 +}; + +/* Compute the transition matrix and eta for 30 divsteps (variable time). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final eta + * + * Implements the divsteps_n_matrix_var function from the explanation. + */ +static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) { + /* Transformation matrix; see comments in secp256k1_modinv32_divsteps_30. */ + uint32_t u = 1, v = 0, q = 0, r = 1; + uint32_t f = f0, g = g0, m; + uint16_t w; + int i = 30, limit, zeros; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* We're done once we've done 30 divsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i)); + /* Bounds on eta that follow from the bounds on iteration count (max 25*30 divsteps). */ + VERIFY_CHECK(eta >= -751 && eta <= 751); + /* If eta is negative, negate it and replace f,g with g,-f. */ + if (eta < 0) { + uint32_t tmp; + eta = -eta; + tmp = f; f = g; g = -tmp; + tmp = u; u = q; q = -tmp; + tmp = v; v = r; r = -tmp; + } + /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more + * than i can be cancelled out (as we'd be done before that point), and no more than eta+1 + * can be done as its sign will flip once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */ + VERIFY_CHECK(limit > 0 && limit <= 30); + m = (UINT32_MAX >> (32 - limit)) & 255U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */ + w = (g * secp256k1_modinv32_inv256[(f >> 1) & 127]) & m; + /* Do so. */ + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int32_t)u; + t->v = (int32_t)v; + t->q = (int32_t)q; + t->r = (int32_t)r; + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2, the + * aggregate of 30 of them will have determinant 2^30. */ + VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30); + return eta; +} + +/* Compute the transition matrix and eta for 30 posdivsteps (variable time, eta=-delta), and keeps track + * of the Jacobi symbol along the way. f0 and g0 must be f and g mod 2^32 rather than 2^30, because + * Jacobi tracking requires knowing (f mod 8) rather than just (f mod 2). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Input/Output: (*jacp & 1) is bitflipped if and only if the Jacobi symbol of (f | g) changes sign + * by applying the returned transformation matrix to it. The other bits of *jacp may + * change, but are meaningless. + * Return: final eta + */ +static int32_t secp256k1_modinv32_posdivsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t, int *jacp) { + /* Transformation matrix. */ + uint32_t u = 1, v = 0, q = 0, r = 1; + uint32_t f = f0, g = g0, m; + uint16_t w; + int i = 30, limit, zeros; + int jac = *jacp; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* Update the bottom bit of jac: when dividing g by an odd power of 2, + * if (f mod 8) is 3 or 5, the Jacobi symbol changes sign. */ + jac ^= (zeros & ((f >> 1) ^ (f >> 2))); + /* We're done once we've done 30 posdivsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i)); + /* If eta is negative, negate it and replace f,g with g,f. */ + if (eta < 0) { + uint32_t tmp; + eta = -eta; + /* Update bottom bit of jac: when swapping f and g, the Jacobi symbol changes sign + * if both f and g are 3 mod 4. */ + jac ^= ((f & g) >> 1); + tmp = f; f = g; g = tmp; + tmp = u; u = q; q = tmp; + tmp = v; v = r; r = tmp; + } + /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more + * than i can be cancelled out (as we'd be done before that point), and no more than eta+1 + * can be done as its sign will flip once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */ + VERIFY_CHECK(limit > 0 && limit <= 30); + m = (UINT32_MAX >> (32 - limit)) & 255U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */ + w = (g * secp256k1_modinv32_inv256[(f >> 1) & 127]) & m; + /* Do so. */ + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int32_t)u; + t->v = (int32_t)v; + t->q = (int32_t)q; + t->r = (int32_t)r; + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2 or -2, + * the aggregate of 30 of them will have determinant 2^30 or -2^30. */ + VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30 || + (int64_t)t->u * t->r - (int64_t)t->v * t->q == -(((int64_t)1) << 30)); + *jacp = jac; + return eta; +} + +/* Compute (t/2^30) * [d, e] mod modulus, where t is a transition matrix for 30 divsteps. + * + * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range + * (-2^30,2^30). + * + * This implements the update_de function from the explanation. + */ +static void secp256k1_modinv32_update_de_30(secp256k1_modinv32_signed30 *d, secp256k1_modinv32_signed30 *e, const secp256k1_modinv32_trans2x2 *t, const secp256k1_modinv32_modinfo* modinfo) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + const int32_t u = t->u, v = t->v, q = t->q, r = t->r; + int32_t di, ei, md, me, sd, se; + int64_t cd, ce; + int i; + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */ + VERIFY_CHECK(labs(u) <= (M30 + 1 - labs(v))); /* |u|+|v| <= 2^30 */ + VERIFY_CHECK(labs(q) <= (M30 + 1 - labs(r))); /* |q|+|r| <= 2^30 */ + + /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */ + sd = d->v[8] >> 31; + se = e->v[8] >> 31; + md = (u & sd) + (v & se); + me = (q & sd) + (r & se); + /* Begin computing t*[d,e]. */ + di = d->v[0]; + ei = e->v[0]; + cd = (int64_t)u * di + (int64_t)v * ei; + ce = (int64_t)q * di + (int64_t)r * ei; + /* Correct md,me so that t*[d,e]+modulus*[md,me] has 30 zero bottom bits. */ + md -= (modinfo->modulus_inv30 * (uint32_t)cd + md) & M30; + me -= (modinfo->modulus_inv30 * (uint32_t)ce + me) & M30; + /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */ + cd += (int64_t)modinfo->modulus.v[0] * md; + ce += (int64_t)modinfo->modulus.v[0] * me; + /* Verify that the low 30 bits of the computation are indeed zero, and then throw them away. */ + VERIFY_CHECK(((int32_t)cd & M30) == 0); cd >>= 30; + VERIFY_CHECK(((int32_t)ce & M30) == 0); ce >>= 30; + /* Now iteratively compute limb i=1..8 of t*[d,e]+modulus*[md,me], and store them in output + * limb i-1 (shifting down by 30 bits). */ + for (i = 1; i < 9; ++i) { + di = d->v[i]; + ei = e->v[i]; + cd += (int64_t)u * di + (int64_t)v * ei; + ce += (int64_t)q * di + (int64_t)r * ei; + cd += (int64_t)modinfo->modulus.v[i] * md; + ce += (int64_t)modinfo->modulus.v[i] * me; + d->v[i - 1] = (int32_t)cd & M30; cd >>= 30; + e->v[i - 1] = (int32_t)ce & M30; ce >>= 30; + } + /* What remains is limb 9 of t*[d,e]+modulus*[md,me]; store it as output limb 8. */ + d->v[8] = (int32_t)cd; + e->v[8] = (int32_t)ce; + + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */ +} + +/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps. + * + * This implements the update_fg function from the explanation. + */ +static void secp256k1_modinv32_update_fg_30(secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + const int32_t u = t->u, v = t->v, q = t->q, r = t->r; + int32_t fi, gi; + int64_t cf, cg; + int i; + /* Start computing t*[f,g]. */ + fi = f->v[0]; + gi = g->v[0]; + cf = (int64_t)u * fi + (int64_t)v * gi; + cg = (int64_t)q * fi + (int64_t)r * gi; + /* Verify that the bottom 30 bits of the result are zero, and then throw them away. */ + VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30; + VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30; + /* Now iteratively compute limb i=1..8 of t*[f,g], and store them in output limb i-1 (shifting + * down by 30 bits). */ + for (i = 1; i < 9; ++i) { + fi = f->v[i]; + gi = g->v[i]; + cf += (int64_t)u * fi + (int64_t)v * gi; + cg += (int64_t)q * fi + (int64_t)r * gi; + f->v[i - 1] = (int32_t)cf & M30; cf >>= 30; + g->v[i - 1] = (int32_t)cg & M30; cg >>= 30; + } + /* What remains is limb 9 of t*[f,g]; store it as output limb 8. */ + f->v[8] = (int32_t)cf; + g->v[8] = (int32_t)cg; +} + +/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps. + * + * Version that operates on a variable number of limbs in f and g. + * + * This implements the update_fg function from the explanation in modinv64_impl.h. + */ +static void secp256k1_modinv32_update_fg_30_var(int len, secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + const int32_t u = t->u, v = t->v, q = t->q, r = t->r; + int32_t fi, gi; + int64_t cf, cg; + int i; + VERIFY_CHECK(len > 0); + /* Start computing t*[f,g]. */ + fi = f->v[0]; + gi = g->v[0]; + cf = (int64_t)u * fi + (int64_t)v * gi; + cg = (int64_t)q * fi + (int64_t)r * gi; + /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ + VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30; + VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30; + /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting + * down by 30 bits). */ + for (i = 1; i < len; ++i) { + fi = f->v[i]; + gi = g->v[i]; + cf += (int64_t)u * fi + (int64_t)v * gi; + cg += (int64_t)q * fi + (int64_t)r * gi; + f->v[i - 1] = (int32_t)cf & M30; cf >>= 30; + g->v[i - 1] = (int32_t)cg & M30; cg >>= 30; + } + /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */ + f->v[len - 1] = (int32_t)cf; + g->v[len - 1] = (int32_t)cg; +} + +/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */ +static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) { + /* Start with d=0, e=1, f=modulus, g=x, zeta=-1. */ + secp256k1_modinv32_signed30 d = {{0}}; + secp256k1_modinv32_signed30 e = {{1}}; + secp256k1_modinv32_signed30 f = modinfo->modulus; + secp256k1_modinv32_signed30 g = *x; + int i; + int32_t zeta = -1; /* zeta = -(delta+1/2); delta is initially 1/2. */ + + /* Do 20 iterations of 30 divsteps each = 600 divsteps. 590 suffices for 256-bit inputs. */ + for (i = 0; i < 20; ++i) { + /* Compute transition matrix and new zeta after 30 divsteps. */ + secp256k1_modinv32_trans2x2 t; + zeta = secp256k1_modinv32_divsteps_30(zeta, f.v[0], g.v[0], &t); + /* Update d,e using that transition matrix. */ + secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo); + /* Update f,g using that transition matrix. */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */ + + secp256k1_modinv32_update_fg_30(&f, &g, &t); + + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */ + } + + /* At this point sufficient iterations have been performed that g must have reached 0 + * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g + * values i.e. +/- 1, and d now contains +/- the modular inverse. */ + + /* g == 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &SECP256K1_SIGNED30_ONE, 0) == 0); + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, -1) == 0 || + secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, 1) == 0 || + (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && + secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && + secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) == 0)); + + /* Optionally negate d, normalize to [0,modulus), and return it. */ + secp256k1_modinv32_normalize_30(&d, f.v[8], modinfo); + *x = d; +} + +/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */ +static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) { + /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */ + secp256k1_modinv32_signed30 d = {{0, 0, 0, 0, 0, 0, 0, 0, 0}}; + secp256k1_modinv32_signed30 e = {{1, 0, 0, 0, 0, 0, 0, 0, 0}}; + secp256k1_modinv32_signed30 f = modinfo->modulus; + secp256k1_modinv32_signed30 g = *x; +#ifdef VERIFY + int i = 0; +#endif + int j, len = 9; + int32_t eta = -1; /* eta = -delta; delta is initially 1 (faster for the variable-time code) */ + int32_t cond, fn, gn; + + /* Do iterations of 30 divsteps each until g=0. */ + while (1) { + /* Compute transition matrix and new eta after 30 divsteps. */ + secp256k1_modinv32_trans2x2 t; + eta = secp256k1_modinv32_divsteps_30_var(eta, f.v[0], g.v[0], &t); + /* Update d,e using that transition matrix. */ + secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo); + /* Update f,g using that transition matrix. */ + + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + + secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t); + /* If the bottom limb of g is 0, there is a chance g=0. */ + if (g.v[0] == 0) { + cond = 0; + /* Check if all other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= g.v[j]; + } + /* If so, we're done. */ + if (cond == 0) break; + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int32_t)len - 2) >> 31; + cond |= fn ^ (fn >> 31); + cond |= gn ^ (gn >> 31); + /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */ + if (cond == 0) { + f.v[len - 2] |= (uint32_t)fn << 30; + g.v[len - 2] |= (uint32_t)gn << 30; + --len; + } + + VERIFY_CHECK(++i < 25); /* We should never need more than 25*30 = 750 divsteps */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + } + + /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of + * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */ + + /* g == 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &SECP256K1_SIGNED30_ONE, 0) == 0); + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, -1) == 0 || + secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, 1) == 0 || + (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && + secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && + secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) == 0)); + + /* Optionally negate d, normalize to [0,modulus), and return it. */ + secp256k1_modinv32_normalize_30(&d, f.v[len - 1], modinfo); + *x = d; +} + +/* Do up to 50 iterations of 30 posdivsteps (up to 1500 steps; more is extremely rare) each until f=1. + * In VERIFY mode use a lower number of iterations (750, close to the median 756), so failure actually occurs. */ +#ifdef VERIFY +#define JACOBI32_ITERATIONS 25 +#else +#define JACOBI32_ITERATIONS 50 +#endif + +/* Compute the Jacobi symbol of x modulo modinfo->modulus (variable time). gcd(x,modulus) must be 1. */ +static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) { + /* Start with f=modulus, g=x, eta=-1. */ + secp256k1_modinv32_signed30 f = modinfo->modulus; + secp256k1_modinv32_signed30 g = *x; + int j, len = 9; + int32_t eta = -1; /* eta = -delta; delta is initially 1 */ + int32_t cond, fn, gn; + int jac = 0; + int count; + + /* The input limbs must all be non-negative. */ + VERIFY_CHECK(g.v[0] >= 0 && g.v[1] >= 0 && g.v[2] >= 0 && g.v[3] >= 0 && g.v[4] >= 0 && g.v[5] >= 0 && g.v[6] >= 0 && g.v[7] >= 0 && g.v[8] >= 0); + + /* If x > 0, then if the loop below converges, it converges to f=g=gcd(x,modulus). Since we + * require that gcd(x,modulus)=1 and modulus>=3, x cannot be 0. Thus, we must reach f=1 (or + * time out). */ + VERIFY_CHECK((g.v[0] | g.v[1] | g.v[2] | g.v[3] | g.v[4] | g.v[5] | g.v[6] | g.v[7] | g.v[8]) != 0); + + for (count = 0; count < JACOBI32_ITERATIONS; ++count) { + /* Compute transition matrix and new eta after 30 posdivsteps. */ + secp256k1_modinv32_trans2x2 t; + eta = secp256k1_modinv32_posdivsteps_30_var(eta, f.v[0] | ((uint32_t)f.v[1] << 30), g.v[0] | ((uint32_t)g.v[1] << 30), &t, &jac); + /* Update f,g using that transition matrix. */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + + secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t); + /* If the bottom limb of f is 1, there is a chance that f=1. */ + if (f.v[0] == 1) { + cond = 0; + /* Check if the other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= f.v[j]; + } + /* If so, we're done. If f=1, the Jacobi symbol (g | f)=1. */ + if (cond == 0) return 1 - 2*(jac & 1); + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int32_t)len - 2) >> 31; + cond |= fn; + cond |= gn; + /* If so, reduce length. */ + if (cond == 0) --len; + + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + } + + /* The loop failed to converge to f=g after 1500 iterations. Return 0, indicating unknown result. */ + return 0; +} + +#endif /* SECP256K1_MODINV32_IMPL_H */ diff --git a/src/secp256k1/src/modinv64.h b/src/secp256k1/src/modinv64.h new file mode 100644 index 00000000..f4208e6c --- /dev/null +++ b/src/secp256k1/src/modinv64.h @@ -0,0 +1,47 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV64_H +#define SECP256K1_MODINV64_H + +#include "util.h" + +#ifndef SECP256K1_WIDEMUL_INT128 +#error "modinv64 requires 128-bit wide multiplication support" +#endif + +/* A signed 62-bit limb representation of integers. + * + * Its value is sum(v[i] * 2^(62*i), i=0..4). */ +typedef struct { + int64_t v[5]; +} secp256k1_modinv64_signed62; + +typedef struct { + /* The modulus in signed62 notation, must be odd and in [3, 2^256]. */ + secp256k1_modinv64_signed62 modulus; + + /* modulus^{-1} mod 2^62 */ + uint64_t modulus_inv62; +} secp256k1_modinv64_modinfo; + +/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus). + * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of + * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime. + * + * On output, all of x's limbs will be in [0, 2^62). + */ +static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo); + +/* Same as secp256k1_modinv64_var, but constant time in x (not in the modulus). */ +static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo); + +/* Compute the Jacobi symbol for (x | modinfo->modulus). x must be coprime with modulus (and thus + * cannot be 0, as modulus >= 3). All limbs of x must be non-negative. Returns 0 if the result + * cannot be computed. */ +static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo); + +#endif /* SECP256K1_MODINV64_H */ diff --git a/src/secp256k1/src/modinv64_impl.h b/src/secp256k1/src/modinv64_impl.h new file mode 100644 index 00000000..548787be --- /dev/null +++ b/src/secp256k1/src/modinv64_impl.h @@ -0,0 +1,780 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV64_IMPL_H +#define SECP256K1_MODINV64_IMPL_H + +#include "int128.h" +#include "modinv64.h" + +/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and + * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang. + * + * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an + * implementation for N=62, using 62-bit signed limbs represented as int64_t. + */ + +/* Data type for transition matrices (see section 3 of explanation). + * + * t = [ u v ] + * [ q r ] + */ +typedef struct { + int64_t u, v, q, r; +} secp256k1_modinv64_trans2x2; + +#ifdef VERIFY +/* Helper function to compute the absolute value of an int64_t. + * (we don't use abs/labs/llabs as it depends on the int sizes). */ +static int64_t secp256k1_modinv64_abs(int64_t v) { + VERIFY_CHECK(v > INT64_MIN); + if (v < 0) return -v; + return v; +} + +static const secp256k1_modinv64_signed62 SECP256K1_SIGNED62_ONE = {{1}}; + +/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^62). */ +static void secp256k1_modinv64_mul_62(secp256k1_modinv64_signed62 *r, const secp256k1_modinv64_signed62 *a, int alen, int64_t factor) { + const uint64_t M62 = UINT64_MAX >> 2; + secp256k1_int128 c, d; + int i; + secp256k1_i128_from_i64(&c, 0); + for (i = 0; i < 4; ++i) { + if (i < alen) secp256k1_i128_accum_mul(&c, a->v[i], factor); + r->v[i] = secp256k1_i128_to_u64(&c) & M62; secp256k1_i128_rshift(&c, 62); + } + if (4 < alen) secp256k1_i128_accum_mul(&c, a->v[4], factor); + secp256k1_i128_from_i64(&d, secp256k1_i128_to_i64(&c)); + VERIFY_CHECK(secp256k1_i128_eq_var(&c, &d)); + r->v[4] = secp256k1_i128_to_i64(&c); +} + +/* Return -1 for ab*factor. A has alen limbs; b has 5. */ +static int secp256k1_modinv64_mul_cmp_62(const secp256k1_modinv64_signed62 *a, int alen, const secp256k1_modinv64_signed62 *b, int64_t factor) { + int i; + secp256k1_modinv64_signed62 am, bm; + secp256k1_modinv64_mul_62(&am, a, alen, 1); /* Normalize all but the top limb of a. */ + secp256k1_modinv64_mul_62(&bm, b, 5, factor); + for (i = 0; i < 4; ++i) { + /* Verify that all but the top limb of a and b are normalized. */ + VERIFY_CHECK(am.v[i] >> 62 == 0); + VERIFY_CHECK(bm.v[i] >> 62 == 0); + } + for (i = 4; i >= 0; --i) { + if (am.v[i] < bm.v[i]) return -1; + if (am.v[i] > bm.v[i]) return 1; + } + return 0; +} + +/* Check if the determinant of t is equal to 1 << n. If abs, check if |det t| == 1 << n. */ +static int secp256k1_modinv64_det_check_pow2(const secp256k1_modinv64_trans2x2 *t, unsigned int n, int abs) { + secp256k1_int128 a; + secp256k1_i128_det(&a, t->u, t->v, t->q, t->r); + if (secp256k1_i128_check_pow2(&a, n, 1)) return 1; + if (abs && secp256k1_i128_check_pow2(&a, n, -1)) return 1; + return 0; +} +#endif + +/* Take as input a signed62 number in range (-2*modulus,modulus), and add a multiple of the modulus + * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the + * process. The input must have limbs in range (-2^62,2^62). The output will have limbs in range + * [0,2^62). */ +static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int64_t sign, const secp256k1_modinv64_modinfo *modinfo) { + const int64_t M62 = (int64_t)(UINT64_MAX >> 2); + int64_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4]; + volatile int64_t cond_add, cond_negate; + +#ifdef VERIFY + /* Verify that all limbs are in range (-2^62,2^62). */ + int i; + for (i = 0; i < 5; ++i) { + VERIFY_CHECK(r->v[i] >= -M62); + VERIFY_CHECK(r->v[i] <= M62); + } + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, -2) > 0); /* r > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */ +#endif + + /* In a first step, add the modulus if the input is negative, and then negate if requested. + * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input + * limbs are in range (-2^62,2^62), this cannot overflow an int64_t. Note that the right + * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is + * indeed the behavior of the right shift operator). */ + cond_add = r4 >> 63; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + cond_negate = sign >> 63; + r0 = (r0 ^ cond_negate) - cond_negate; + r1 = (r1 ^ cond_negate) - cond_negate; + r2 = (r2 ^ cond_negate) - cond_negate; + r3 = (r3 ^ cond_negate) - cond_negate; + r4 = (r4 ^ cond_negate) - cond_negate; + /* Propagate the top bits, to bring limbs back to range (-2^62,2^62). */ + r1 += r0 >> 62; r0 &= M62; + r2 += r1 >> 62; r1 &= M62; + r3 += r2 >> 62; r2 &= M62; + r4 += r3 >> 62; r3 &= M62; + + /* In a second step add the modulus again if the result is still negative, bringing + * r to range [0,modulus). */ + cond_add = r4 >> 63; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + /* And propagate again. */ + r1 += r0 >> 62; r0 &= M62; + r2 += r1 >> 62; r1 &= M62; + r3 += r2 >> 62; r2 &= M62; + r4 += r3 >> 62; r3 &= M62; + + r->v[0] = r0; + r->v[1] = r1; + r->v[2] = r2; + r->v[3] = r3; + r->v[4] = r4; + + VERIFY_CHECK(r0 >> 62 == 0); + VERIFY_CHECK(r1 >> 62 == 0); + VERIFY_CHECK(r2 >> 62 == 0); + VERIFY_CHECK(r3 >> 62 == 0); + VERIFY_CHECK(r4 >> 62 == 0); + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 0) >= 0); /* r >= 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */ +} + +/* Compute the transition matrix and eta for 59 divsteps (where zeta=-(delta+1/2)). + * Note that the transformation matrix is scaled by 2^62 and not 2^59. + * + * Input: zeta: initial zeta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final zeta + * + * Implements the divsteps_n_matrix function from the explanation. + */ +static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) { + /* u,v,q,r are the elements of the transformation matrix being built up, + * starting with the identity matrix times 8 (because the caller expects + * a result scaled by 2^62). Semantically they are signed integers + * in range [-2^62,2^62], but here represented as unsigned mod 2^64. This + * permits left shifting (which is UB for negative numbers). The range + * being inside [-2^63,2^63) means that casting to signed works correctly. + */ + uint64_t u = 8, v = 0, q = 0, r = 8; + volatile uint64_t c1, c2; + uint64_t mask1, mask2, f = f0, g = g0, x, y, z; + int i; + + for (i = 3; i < 62; ++i) { + VERIFY_CHECK((f & 1) == 1); /* f must always be odd */ + VERIFY_CHECK((u * f0 + v * g0) == f << i); + VERIFY_CHECK((q * f0 + r * g0) == g << i); + /* Compute conditional masks for (zeta < 0) and for (g & 1). */ + c1 = zeta >> 63; + mask1 = c1; + c2 = g & 1; + mask2 = -c2; + /* Compute x,y,z, conditionally negated versions of f,u,v. */ + x = (f ^ mask1) - mask1; + y = (u ^ mask1) - mask1; + z = (v ^ mask1) - mask1; + /* Conditionally add x,y,z to g,q,r. */ + g += x & mask2; + q += y & mask2; + r += z & mask2; + /* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */ + mask1 &= mask2; + /* Conditionally change zeta into -zeta-2 or zeta-1. */ + zeta = (zeta ^ mask1) - 1; + /* Conditionally add g,q,r to f,u,v. */ + f += g & mask1; + u += q & mask1; + v += r & mask1; + /* Shifts */ + g >>= 1; + u <<= 1; + v <<= 1; + /* Bounds on zeta that follow from the bounds on iteration count (max 10*59 divsteps). */ + VERIFY_CHECK(zeta >= -591 && zeta <= 591); + } + /* Return data in t and return value. */ + t->u = (int64_t)u; + t->v = (int64_t)v; + t->q = (int64_t)q; + t->r = (int64_t)r; + + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2, the + * aggregate of 59 of them will have determinant 2^59. Multiplying with the initial + * 8*identity (which has determinant 2^6) means the overall outputs has determinant + * 2^65. */ + VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 65, 0)); + + return zeta; +} + +/* Compute the transition matrix and eta for 62 divsteps (variable time, eta=-delta). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final eta + * + * Implements the divsteps_n_matrix_var function from the explanation. + */ +static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) { + /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */ + uint64_t u = 1, v = 0, q = 0, r = 1; + uint64_t f = f0, g = g0, m; + uint32_t w; + int i = 62, limit, zeros; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* We're done once we've done 62 divsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i)); + /* Bounds on eta that follow from the bounds on iteration count (max 12*62 divsteps). */ + VERIFY_CHECK(eta >= -745 && eta <= 745); + /* If eta is negative, negate it and replace f,g with g,-f. */ + if (eta < 0) { + uint64_t tmp; + eta = -eta; + tmp = f; f = g; g = -tmp; + tmp = u; u = q; q = -tmp; + tmp = v; v = r; r = -tmp; + /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled + * out (as we'd be done before that point), and no more than eta+1 can be done as its + * sign will flip again once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 6) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 63U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6) + * bits. */ + w = (f * g * (f * f - 2)) & m; + } else { + /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as + * eta tends to be smaller here. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 4) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 15U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4) + * bits. */ + w = f + (((f + 1) & 4) << 1); + w = (-w * g) & m; + } + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int64_t)u; + t->v = (int64_t)v; + t->q = (int64_t)q; + t->r = (int64_t)r; + + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2, the + * aggregate of 62 of them will have determinant 2^62. */ + VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 0)); + + return eta; +} + +/* Compute the transition matrix and eta for 62 posdivsteps (variable time, eta=-delta), and keeps track + * of the Jacobi symbol along the way. f0 and g0 must be f and g mod 2^64 rather than 2^62, because + * Jacobi tracking requires knowing (f mod 8) rather than just (f mod 2). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Input/Output: (*jacp & 1) is bitflipped if and only if the Jacobi symbol of (f | g) changes sign + * by applying the returned transformation matrix to it. The other bits of *jacp may + * change, but are meaningless. + * Return: final eta + */ +static int64_t secp256k1_modinv64_posdivsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t, int *jacp) { + /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */ + uint64_t u = 1, v = 0, q = 0, r = 1; + uint64_t f = f0, g = g0, m; + uint32_t w; + int i = 62, limit, zeros; + int jac = *jacp; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* Update the bottom bit of jac: when dividing g by an odd power of 2, + * if (f mod 8) is 3 or 5, the Jacobi symbol changes sign. */ + jac ^= (zeros & ((f >> 1) ^ (f >> 2))); + /* We're done once we've done 62 posdivsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i)); + /* If eta is negative, negate it and replace f,g with g,f. */ + if (eta < 0) { + uint64_t tmp; + eta = -eta; + tmp = f; f = g; g = tmp; + tmp = u; u = q; q = tmp; + tmp = v; v = r; r = tmp; + /* Update bottom bit of jac: when swapping f and g, the Jacobi symbol changes sign + * if both f and g are 3 mod 4. */ + jac ^= ((f & g) >> 1); + /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled + * out (as we'd be done before that point), and no more than eta+1 can be done as its + * sign will flip again once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 6) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 63U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6) + * bits. */ + w = (f * g * (f * f - 2)) & m; + } else { + /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as + * eta tends to be smaller here. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 4) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 15U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4) + * bits. */ + w = f + (((f + 1) & 4) << 1); + w = (-w * g) & m; + } + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int64_t)u; + t->v = (int64_t)v; + t->q = (int64_t)q; + t->r = (int64_t)r; + + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2 or -2, + * the aggregate of 62 of them will have determinant 2^62 or -2^62. */ + VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 1)); + + *jacp = jac; + return eta; +} + +/* Compute (t/2^62) * [d, e] mod modulus, where t is a transition matrix scaled by 2^62. + * + * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range + * (-2^62,2^62). + * + * This implements the update_de function from the explanation. + */ +static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp256k1_modinv64_signed62 *e, const secp256k1_modinv64_trans2x2 *t, const secp256k1_modinv64_modinfo* modinfo) { + const uint64_t M62 = UINT64_MAX >> 2; + const int64_t d0 = d->v[0], d1 = d->v[1], d2 = d->v[2], d3 = d->v[3], d4 = d->v[4]; + const int64_t e0 = e->v[0], e1 = e->v[1], e2 = e->v[2], e3 = e->v[3], e4 = e->v[4]; + const int64_t u = t->u, v = t->v, q = t->q, r = t->r; + int64_t md, me, sd, se; + secp256k1_int128 cd, ce; + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */ + VERIFY_CHECK(secp256k1_modinv64_abs(u) <= (((int64_t)1 << 62) - secp256k1_modinv64_abs(v))); /* |u|+|v| <= 2^62 */ + VERIFY_CHECK(secp256k1_modinv64_abs(q) <= (((int64_t)1 << 62) - secp256k1_modinv64_abs(r))); /* |q|+|r| <= 2^62 */ + + /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */ + sd = d4 >> 63; + se = e4 >> 63; + md = (u & sd) + (v & se); + me = (q & sd) + (r & se); + /* Begin computing t*[d,e]. */ + secp256k1_i128_mul(&cd, u, d0); + secp256k1_i128_accum_mul(&cd, v, e0); + secp256k1_i128_mul(&ce, q, d0); + secp256k1_i128_accum_mul(&ce, r, e0); + /* Correct md,me so that t*[d,e]+modulus*[md,me] has 62 zero bottom bits. */ + md -= (modinfo->modulus_inv62 * secp256k1_i128_to_u64(&cd) + md) & M62; + me -= (modinfo->modulus_inv62 * secp256k1_i128_to_u64(&ce) + me) & M62; + /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */ + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[0], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[0], me); + /* Verify that the low 62 bits of the computation are indeed zero, and then throw them away. */ + VERIFY_CHECK((secp256k1_i128_to_u64(&cd) & M62) == 0); secp256k1_i128_rshift(&cd, 62); + VERIFY_CHECK((secp256k1_i128_to_u64(&ce) & M62) == 0); secp256k1_i128_rshift(&ce, 62); + /* Compute limb 1 of t*[d,e]+modulus*[md,me], and store it as output limb 0 (= down shift). */ + secp256k1_i128_accum_mul(&cd, u, d1); + secp256k1_i128_accum_mul(&cd, v, e1); + secp256k1_i128_accum_mul(&ce, q, d1); + secp256k1_i128_accum_mul(&ce, r, e1); + if (modinfo->modulus.v[1]) { /* Optimize for the case where limb of modulus is zero. */ + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[1], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[1], me); + } + d->v[0] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[0] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); + /* Compute limb 2 of t*[d,e]+modulus*[md,me], and store it as output limb 1. */ + secp256k1_i128_accum_mul(&cd, u, d2); + secp256k1_i128_accum_mul(&cd, v, e2); + secp256k1_i128_accum_mul(&ce, q, d2); + secp256k1_i128_accum_mul(&ce, r, e2); + if (modinfo->modulus.v[2]) { /* Optimize for the case where limb of modulus is zero. */ + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[2], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[2], me); + } + d->v[1] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[1] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); + /* Compute limb 3 of t*[d,e]+modulus*[md,me], and store it as output limb 2. */ + secp256k1_i128_accum_mul(&cd, u, d3); + secp256k1_i128_accum_mul(&cd, v, e3); + secp256k1_i128_accum_mul(&ce, q, d3); + secp256k1_i128_accum_mul(&ce, r, e3); + if (modinfo->modulus.v[3]) { /* Optimize for the case where limb of modulus is zero. */ + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[3], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[3], me); + } + d->v[2] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[2] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); + /* Compute limb 4 of t*[d,e]+modulus*[md,me], and store it as output limb 3. */ + secp256k1_i128_accum_mul(&cd, u, d4); + secp256k1_i128_accum_mul(&cd, v, e4); + secp256k1_i128_accum_mul(&ce, q, d4); + secp256k1_i128_accum_mul(&ce, r, e4); + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[4], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[4], me); + d->v[3] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[3] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); + /* What remains is limb 5 of t*[d,e]+modulus*[md,me]; store it as output limb 4. */ + d->v[4] = secp256k1_i128_to_i64(&cd); + e->v[4] = secp256k1_i128_to_i64(&ce); + + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */ +} + +/* Compute (t/2^62) * [f, g], where t is a transition matrix scaled by 2^62. + * + * This implements the update_fg function from the explanation. + */ +static void secp256k1_modinv64_update_fg_62(secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) { + const uint64_t M62 = UINT64_MAX >> 2; + const int64_t f0 = f->v[0], f1 = f->v[1], f2 = f->v[2], f3 = f->v[3], f4 = f->v[4]; + const int64_t g0 = g->v[0], g1 = g->v[1], g2 = g->v[2], g3 = g->v[3], g4 = g->v[4]; + const int64_t u = t->u, v = t->v, q = t->q, r = t->r; + secp256k1_int128 cf, cg; + /* Start computing t*[f,g]. */ + secp256k1_i128_mul(&cf, u, f0); + secp256k1_i128_accum_mul(&cf, v, g0); + secp256k1_i128_mul(&cg, q, f0); + secp256k1_i128_accum_mul(&cg, r, g0); + /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ + VERIFY_CHECK((secp256k1_i128_to_u64(&cf) & M62) == 0); secp256k1_i128_rshift(&cf, 62); + VERIFY_CHECK((secp256k1_i128_to_u64(&cg) & M62) == 0); secp256k1_i128_rshift(&cg, 62); + /* Compute limb 1 of t*[f,g], and store it as output limb 0 (= down shift). */ + secp256k1_i128_accum_mul(&cf, u, f1); + secp256k1_i128_accum_mul(&cf, v, g1); + secp256k1_i128_accum_mul(&cg, q, f1); + secp256k1_i128_accum_mul(&cg, r, g1); + f->v[0] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[0] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); + /* Compute limb 2 of t*[f,g], and store it as output limb 1. */ + secp256k1_i128_accum_mul(&cf, u, f2); + secp256k1_i128_accum_mul(&cf, v, g2); + secp256k1_i128_accum_mul(&cg, q, f2); + secp256k1_i128_accum_mul(&cg, r, g2); + f->v[1] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[1] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); + /* Compute limb 3 of t*[f,g], and store it as output limb 2. */ + secp256k1_i128_accum_mul(&cf, u, f3); + secp256k1_i128_accum_mul(&cf, v, g3); + secp256k1_i128_accum_mul(&cg, q, f3); + secp256k1_i128_accum_mul(&cg, r, g3); + f->v[2] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[2] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); + /* Compute limb 4 of t*[f,g], and store it as output limb 3. */ + secp256k1_i128_accum_mul(&cf, u, f4); + secp256k1_i128_accum_mul(&cf, v, g4); + secp256k1_i128_accum_mul(&cg, q, f4); + secp256k1_i128_accum_mul(&cg, r, g4); + f->v[3] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[3] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); + /* What remains is limb 5 of t*[f,g]; store it as output limb 4. */ + f->v[4] = secp256k1_i128_to_i64(&cf); + g->v[4] = secp256k1_i128_to_i64(&cg); +} + +/* Compute (t/2^62) * [f, g], where t is a transition matrix for 62 divsteps. + * + * Version that operates on a variable number of limbs in f and g. + * + * This implements the update_fg function from the explanation. + */ +static void secp256k1_modinv64_update_fg_62_var(int len, secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) { + const uint64_t M62 = UINT64_MAX >> 2; + const int64_t u = t->u, v = t->v, q = t->q, r = t->r; + int64_t fi, gi; + secp256k1_int128 cf, cg; + int i; + VERIFY_CHECK(len > 0); + /* Start computing t*[f,g]. */ + fi = f->v[0]; + gi = g->v[0]; + secp256k1_i128_mul(&cf, u, fi); + secp256k1_i128_accum_mul(&cf, v, gi); + secp256k1_i128_mul(&cg, q, fi); + secp256k1_i128_accum_mul(&cg, r, gi); + /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ + VERIFY_CHECK((secp256k1_i128_to_u64(&cf) & M62) == 0); secp256k1_i128_rshift(&cf, 62); + VERIFY_CHECK((secp256k1_i128_to_u64(&cg) & M62) == 0); secp256k1_i128_rshift(&cg, 62); + /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting + * down by 62 bits). */ + for (i = 1; i < len; ++i) { + fi = f->v[i]; + gi = g->v[i]; + secp256k1_i128_accum_mul(&cf, u, fi); + secp256k1_i128_accum_mul(&cf, v, gi); + secp256k1_i128_accum_mul(&cg, q, fi); + secp256k1_i128_accum_mul(&cg, r, gi); + f->v[i - 1] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[i - 1] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); + } + /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */ + f->v[len - 1] = secp256k1_i128_to_i64(&cf); + g->v[len - 1] = secp256k1_i128_to_i64(&cg); +} + +/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */ +static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) { + /* Start with d=0, e=1, f=modulus, g=x, zeta=-1. */ + secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}}; + secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}}; + secp256k1_modinv64_signed62 f = modinfo->modulus; + secp256k1_modinv64_signed62 g = *x; + int i; + int64_t zeta = -1; /* zeta = -(delta+1/2); delta starts at 1/2. */ + + /* Do 10 iterations of 59 divsteps each = 590 divsteps. This suffices for 256-bit inputs. */ + for (i = 0; i < 10; ++i) { + /* Compute transition matrix and new zeta after 59 divsteps. */ + secp256k1_modinv64_trans2x2 t; + zeta = secp256k1_modinv64_divsteps_59(zeta, f.v[0], g.v[0], &t); + /* Update d,e using that transition matrix. */ + secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo); + /* Update f,g using that transition matrix. */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */ + + secp256k1_modinv64_update_fg_62(&f, &g, &t); + + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */ + } + + /* At this point sufficient iterations have been performed that g must have reached 0 + * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g + * values i.e. +/- 1, and d now contains +/- the modular inverse. */ + + /* g == 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &SECP256K1_SIGNED62_ONE, 0) == 0); + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, -1) == 0 || + secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, 1) == 0 || + (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && + secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && + secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) == 0)); + + /* Optionally negate d, normalize to [0,modulus), and return it. */ + secp256k1_modinv64_normalize_62(&d, f.v[4], modinfo); + *x = d; +} + +/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */ +static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) { + /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */ + secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}}; + secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}}; + secp256k1_modinv64_signed62 f = modinfo->modulus; + secp256k1_modinv64_signed62 g = *x; +#ifdef VERIFY + int i = 0; +#endif + int j, len = 5; + int64_t eta = -1; /* eta = -delta; delta is initially 1 */ + int64_t cond, fn, gn; + + /* Do iterations of 62 divsteps each until g=0. */ + while (1) { + /* Compute transition matrix and new eta after 62 divsteps. */ + secp256k1_modinv64_trans2x2 t; + eta = secp256k1_modinv64_divsteps_62_var(eta, f.v[0], g.v[0], &t); + /* Update d,e using that transition matrix. */ + secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo); + /* Update f,g using that transition matrix. */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + + secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t); + /* If the bottom limb of g is zero, there is a chance that g=0. */ + if (g.v[0] == 0) { + cond = 0; + /* Check if the other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= g.v[j]; + } + /* If so, we're done. */ + if (cond == 0) break; + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int64_t)len - 2) >> 63; + cond |= fn ^ (fn >> 63); + cond |= gn ^ (gn >> 63); + /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */ + if (cond == 0) { + f.v[len - 2] |= (uint64_t)fn << 62; + g.v[len - 2] |= (uint64_t)gn << 62; + --len; + } + + VERIFY_CHECK(++i < 12); /* We should never need more than 12*62 = 744 divsteps */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + } + + /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of + * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */ + + /* g == 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &SECP256K1_SIGNED62_ONE, 0) == 0); + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, -1) == 0 || + secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, 1) == 0 || + (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && + secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && + secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) == 0)); + + /* Optionally negate d, normalize to [0,modulus), and return it. */ + secp256k1_modinv64_normalize_62(&d, f.v[len - 1], modinfo); + *x = d; +} + +/* Do up to 25 iterations of 62 posdivsteps (up to 1550 steps; more is extremely rare) each until f=1. + * In VERIFY mode use a lower number of iterations (744, close to the median 756), so failure actually occurs. */ +#ifdef VERIFY +#define JACOBI64_ITERATIONS 12 +#else +#define JACOBI64_ITERATIONS 25 +#endif + +/* Compute the Jacobi symbol of x modulo modinfo->modulus (variable time). gcd(x,modulus) must be 1. */ +static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) { + /* Start with f=modulus, g=x, eta=-1. */ + secp256k1_modinv64_signed62 f = modinfo->modulus; + secp256k1_modinv64_signed62 g = *x; + int j, len = 5; + int64_t eta = -1; /* eta = -delta; delta is initially 1 */ + int64_t cond, fn, gn; + int jac = 0; + int count; + + /* The input limbs must all be non-negative. */ + VERIFY_CHECK(g.v[0] >= 0 && g.v[1] >= 0 && g.v[2] >= 0 && g.v[3] >= 0 && g.v[4] >= 0); + + /* If x > 0, then if the loop below converges, it converges to f=g=gcd(x,modulus). Since we + * require that gcd(x,modulus)=1 and modulus>=3, x cannot be 0. Thus, we must reach f=1 (or + * time out). */ + VERIFY_CHECK((g.v[0] | g.v[1] | g.v[2] | g.v[3] | g.v[4]) != 0); + + for (count = 0; count < JACOBI64_ITERATIONS; ++count) { + /* Compute transition matrix and new eta after 62 posdivsteps. */ + secp256k1_modinv64_trans2x2 t; + eta = secp256k1_modinv64_posdivsteps_62_var(eta, f.v[0] | ((uint64_t)f.v[1] << 62), g.v[0] | ((uint64_t)g.v[1] << 62), &t, &jac); + /* Update f,g using that transition matrix. */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + + secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t); + /* If the bottom limb of f is 1, there is a chance that f=1. */ + if (f.v[0] == 1) { + cond = 0; + /* Check if the other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= f.v[j]; + } + /* If so, we're done. When f=1, the Jacobi symbol (g | f)=1. */ + if (cond == 0) return 1 - 2*(jac & 1); + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int64_t)len - 2) >> 63; + cond |= fn; + cond |= gn; + /* If so, reduce length. */ + if (cond == 0) --len; + + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ + } + + /* The loop failed to converge to f=g after 1550 iterations. Return 0, indicating unknown result. */ + return 0; +} + +#endif /* SECP256K1_MODINV64_IMPL_H */ diff --git a/src/secp256k1/src/modules/ecdh/Makefile.am.include b/src/secp256k1/src/modules/ecdh/Makefile.am.include index e3088b46..7f7f95f1 100644 --- a/src/secp256k1/src/modules/ecdh/Makefile.am.include +++ b/src/secp256k1/src/modules/ecdh/Makefile.am.include @@ -1,8 +1,4 @@ include_HEADERS += include/secp256k1_ecdh.h noinst_HEADERS += src/modules/ecdh/main_impl.h noinst_HEADERS += src/modules/ecdh/tests_impl.h -if USE_BENCHMARK -noinst_PROGRAMS += bench_ecdh -bench_ecdh_SOURCES = src/bench_ecdh.c -bench_ecdh_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB) -endif +noinst_HEADERS += src/modules/ecdh/bench_impl.h diff --git a/src/secp256k1/src/bench_ecdh.c b/src/secp256k1/src/modules/ecdh/bench_impl.h similarity index 63% rename from src/secp256k1/src/bench_ecdh.c rename to src/secp256k1/src/modules/ecdh/bench_impl.h index c1dd5a6a..c23aaa94 100644 --- a/src/secp256k1/src/bench_ecdh.c +++ b/src/secp256k1/src/modules/ecdh/bench_impl.h @@ -1,15 +1,13 @@ -/********************************************************************** - * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ -#include +#ifndef SECP256K1_MODULE_ECDH_BENCH_H +#define SECP256K1_MODULE_ECDH_BENCH_H -#include "include/secp256k1.h" -#include "include/secp256k1_ecdh.h" -#include "util.h" -#include "bench.h" +#include "../../../include/secp256k1_ecdh.h" typedef struct { secp256k1_context *ctx; @@ -28,27 +26,32 @@ static void bench_ecdh_setup(void* arg) { 0xa2, 0xba, 0xd1, 0x84, 0xf8, 0x83, 0xc6, 0x9f }; - /* create a context with no capabilities */ - data->ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT); for (i = 0; i < 32; i++) { data->scalar[i] = i + 1; } CHECK(secp256k1_ec_pubkey_parse(data->ctx, &data->point, point, sizeof(point)) == 1); } -static void bench_ecdh(void* arg) { +static void bench_ecdh(void* arg, int iters) { int i; unsigned char res[32]; bench_ecdh_data *data = (bench_ecdh_data*)arg; - for (i = 0; i < 20000; i++) { + for (i = 0; i < iters; i++) { CHECK(secp256k1_ecdh(data->ctx, res, &data->point, data->scalar, NULL, NULL) == 1); } } -int main(void) { +static void run_ecdh_bench(int iters, int argc, char** argv) { bench_ecdh_data data; + int d = argc == 1; + + /* create a context with no capabilities */ + data.ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT); - run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, 20000); - return 0; + if (d || have_flag(argc, argv, "ecdh")) run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, iters); + + secp256k1_context_destroy(data.ctx); } + +#endif /* SECP256K1_MODULE_ECDH_BENCH_H */ diff --git a/src/secp256k1/src/modules/ecdh/main_impl.h b/src/secp256k1/src/modules/ecdh/main_impl.h index 944d49f8..842b5359 100644 --- a/src/secp256k1/src/modules/ecdh/main_impl.h +++ b/src/secp256k1/src/modules/ecdh/main_impl.h @@ -1,14 +1,14 @@ -/********************************************************************** - * Copyright (c) 2015 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_MODULE_ECDH_MAIN_H #define SECP256K1_MODULE_ECDH_MAIN_H -#include "include/secp256k1_ecdh.h" -#include "ecmult_const_impl.h" +#include "../../../include/secp256k1_ecdh.h" +#include "../../ecmult_const_impl.h" static int ecdh_hash_function_sha256(unsigned char *output, const unsigned char *x32, const unsigned char *y32, void *data) { unsigned char version = (y32[31] & 0x01) | 0x02; @@ -19,6 +19,7 @@ static int ecdh_hash_function_sha256(unsigned char *output, const unsigned char secp256k1_sha256_write(&sha, &version, 1); secp256k1_sha256_write(&sha, x32, 32); secp256k1_sha256_finalize(&sha, output); + secp256k1_sha256_clear(&sha); return 1; } @@ -32,36 +33,42 @@ int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *output, const se secp256k1_gej res; secp256k1_ge pt; secp256k1_scalar s; + unsigned char x[32]; + unsigned char y[32]; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(output != NULL); ARG_CHECK(point != NULL); ARG_CHECK(scalar != NULL); + if (hashfp == NULL) { hashfp = secp256k1_ecdh_hash_function_default; } secp256k1_pubkey_load(ctx, &pt, point); secp256k1_scalar_set_b32(&s, scalar, &overflow); - if (overflow || secp256k1_scalar_is_zero(&s)) { - ret = 0; - } else { - unsigned char x[32]; - unsigned char y[32]; - - secp256k1_ecmult_const(&res, &pt, &s, 256); - secp256k1_ge_set_gej(&pt, &res); - - /* Compute a hash of the point */ - secp256k1_fe_normalize(&pt.x); - secp256k1_fe_normalize(&pt.y); - secp256k1_fe_get_b32(x, &pt.x); - secp256k1_fe_get_b32(y, &pt.y); - - ret = hashfp(output, x, y, data); - } + overflow |= secp256k1_scalar_is_zero(&s); + secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow); + + secp256k1_ecmult_const(&res, &pt, &s); + secp256k1_ge_set_gej(&pt, &res); + + /* Compute a hash of the point */ + secp256k1_fe_normalize(&pt.x); + secp256k1_fe_normalize(&pt.y); + secp256k1_fe_get_b32(x, &pt.x); + secp256k1_fe_get_b32(y, &pt.y); + + ret = hashfp(output, x, y, data); + + secp256k1_memclear(x, sizeof(x)); + secp256k1_memclear(y, sizeof(y)); secp256k1_scalar_clear(&s); - return ret; + secp256k1_ge_clear(&pt); + secp256k1_gej_clear(&res); + + return !!ret & !overflow; } #endif /* SECP256K1_MODULE_ECDH_MAIN_H */ diff --git a/src/secp256k1/src/modules/ecdh/tests_impl.h b/src/secp256k1/src/modules/ecdh/tests_impl.h index fe26e8fb..3c3acdaf 100644 --- a/src/secp256k1/src/modules/ecdh/tests_impl.h +++ b/src/secp256k1/src/modules/ecdh/tests_impl.h @@ -1,13 +1,13 @@ -/********************************************************************** - * Copyright (c) 2015 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_MODULE_ECDH_TESTS_H #define SECP256K1_MODULE_ECDH_TESTS_H -int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { +static int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { (void)output; (void)x; (void)y; @@ -15,7 +15,7 @@ int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, return 0; } -int ecdh_hash_function_custom(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { +static int ecdh_hash_function_custom(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { (void)data; /* Save x and y as uncompressed public key */ output[0] = 0x04; @@ -24,43 +24,30 @@ int ecdh_hash_function_custom(unsigned char *output, const unsigned char *x, con return 1; } -void test_ecdh_api(void) { - /* Setup context that just counts errors */ - secp256k1_context *tctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); +static void test_ecdh_api(void) { secp256k1_pubkey point; unsigned char res[32]; unsigned char s_one[32] = { 0 }; - int32_t ecount = 0; s_one[31] = 1; - secp256k1_context_set_error_callback(tctx, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(tctx, counting_illegal_callback_fn, &ecount); - CHECK(secp256k1_ec_pubkey_create(tctx, &point, s_one) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_one) == 1); /* Check all NULLs are detected */ - CHECK(secp256k1_ecdh(tctx, res, &point, s_one, NULL, NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdh(tctx, NULL, &point, s_one, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdh(tctx, res, NULL, s_one, NULL, NULL) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdh(tctx, res, &point, NULL, NULL, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdh(tctx, res, &point, s_one, NULL, NULL) == 1); - CHECK(ecount == 3); - - /* Cleanup */ - secp256k1_context_destroy(tctx); + CHECK(secp256k1_ecdh(CTX, res, &point, s_one, NULL, NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, NULL, &point, s_one, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, res, NULL, s_one, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, res, &point, NULL, NULL, NULL)); + CHECK(secp256k1_ecdh(CTX, res, &point, s_one, NULL, NULL) == 1); } -void test_ecdh_generator_basepoint(void) { +static void test_ecdh_generator_basepoint(void) { unsigned char s_one[32] = { 0 }; secp256k1_pubkey point[2]; int i; s_one[31] = 1; /* Check against pubkey creation when the basepoint is the generator */ - for (i = 0; i < 100; ++i) { + for (i = 0; i < 2 * COUNT; ++i) { secp256k1_sha256 sha; unsigned char s_b32[32]; unsigned char output_ecdh[65]; @@ -69,32 +56,32 @@ void test_ecdh_generator_basepoint(void) { size_t point_ser_len = sizeof(point_ser); secp256k1_scalar s; - random_scalar_order(&s); + testutil_random_scalar_order(&s); secp256k1_scalar_get_b32(s_b32, &s); - CHECK(secp256k1_ec_pubkey_create(ctx, &point[0], s_one) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &point[1], s_b32) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &point[0], s_one) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &point[1], s_b32) == 1); /* compute using ECDH function with custom hash function */ - CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32, ecdh_hash_function_custom, NULL) == 1); + CHECK(secp256k1_ecdh(CTX, output_ecdh, &point[0], s_b32, ecdh_hash_function_custom, NULL) == 1); /* compute "explicitly" */ - CHECK(secp256k1_ec_pubkey_serialize(ctx, point_ser, &point_ser_len, &point[1], SECP256K1_EC_UNCOMPRESSED) == 1); + CHECK(secp256k1_ec_pubkey_serialize(CTX, point_ser, &point_ser_len, &point[1], SECP256K1_EC_UNCOMPRESSED) == 1); /* compare */ - CHECK(memcmp(output_ecdh, point_ser, 65) == 0); + CHECK(secp256k1_memcmp_var(output_ecdh, point_ser, 65) == 0); /* compute using ECDH function with default hash function */ - CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32, NULL, NULL) == 1); + CHECK(secp256k1_ecdh(CTX, output_ecdh, &point[0], s_b32, NULL, NULL) == 1); /* compute "explicitly" */ - CHECK(secp256k1_ec_pubkey_serialize(ctx, point_ser, &point_ser_len, &point[1], SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_ec_pubkey_serialize(CTX, point_ser, &point_ser_len, &point[1], SECP256K1_EC_COMPRESSED) == 1); secp256k1_sha256_initialize(&sha); secp256k1_sha256_write(&sha, point_ser, point_ser_len); secp256k1_sha256_finalize(&sha, output_ser); /* compare */ - CHECK(memcmp(output_ecdh, output_ser, 32) == 0); + CHECK(secp256k1_memcmp_var(output_ecdh, output_ser, 32) == 0); } } -void test_bad_scalar(void) { +static void test_bad_scalar(void) { unsigned char s_zero[32] = { 0 }; unsigned char s_overflow[32] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, @@ -108,25 +95,58 @@ void test_bad_scalar(void) { secp256k1_pubkey point; /* Create random point */ - random_scalar_order(&rand); + testutil_random_scalar_order(&rand); secp256k1_scalar_get_b32(s_rand, &rand); - CHECK(secp256k1_ec_pubkey_create(ctx, &point, s_rand) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_rand) == 1); /* Try to multiply it by bad values */ - CHECK(secp256k1_ecdh(ctx, output, &point, s_zero, NULL, NULL) == 0); - CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow, NULL, NULL) == 0); + CHECK(secp256k1_ecdh(CTX, output, &point, s_zero, NULL, NULL) == 0); + CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, NULL, NULL) == 0); /* ...and a good one */ s_overflow[31] -= 1; - CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow, NULL, NULL) == 1); + CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, NULL, NULL) == 1); /* Hash function failure results in ecdh failure */ - CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow, ecdh_hash_function_test_fail, NULL) == 0); + CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, ecdh_hash_function_test_fail, NULL) == 0); } -void run_ecdh_tests(void) { +/** Test that ECDH(sG, 1/s) == ECDH((1/s)G, s) == ECDH(G, 1) for a few random s. */ +static void test_result_basepoint(void) { + secp256k1_pubkey point; + secp256k1_scalar rand; + unsigned char s[32]; + unsigned char s_inv[32]; + unsigned char out[32]; + unsigned char out_inv[32]; + unsigned char out_base[32]; + int i; + + unsigned char s_one[32] = { 0 }; + s_one[31] = 1; + CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_one) == 1); + CHECK(secp256k1_ecdh(CTX, out_base, &point, s_one, NULL, NULL) == 1); + + for (i = 0; i < 2 * COUNT; i++) { + testutil_random_scalar_order(&rand); + secp256k1_scalar_get_b32(s, &rand); + secp256k1_scalar_inverse(&rand, &rand); + secp256k1_scalar_get_b32(s_inv, &rand); + + CHECK(secp256k1_ec_pubkey_create(CTX, &point, s) == 1); + CHECK(secp256k1_ecdh(CTX, out, &point, s_inv, NULL, NULL) == 1); + CHECK(secp256k1_memcmp_var(out, out_base, 32) == 0); + + CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_inv) == 1); + CHECK(secp256k1_ecdh(CTX, out_inv, &point, s, NULL, NULL) == 1); + CHECK(secp256k1_memcmp_var(out_inv, out_base, 32) == 0); + } +} + +static void run_ecdh_tests(void) { test_ecdh_api(); test_ecdh_generator_basepoint(); test_bad_scalar(); + test_result_basepoint(); } #endif /* SECP256K1_MODULE_ECDH_TESTS_H */ diff --git a/src/secp256k1/src/modules/ellswift/Makefile.am.include b/src/secp256k1/src/modules/ellswift/Makefile.am.include new file mode 100644 index 00000000..8251231e --- /dev/null +++ b/src/secp256k1/src/modules/ellswift/Makefile.am.include @@ -0,0 +1,5 @@ +include_HEADERS += include/secp256k1_ellswift.h +noinst_HEADERS += src/modules/ellswift/bench_impl.h +noinst_HEADERS += src/modules/ellswift/main_impl.h +noinst_HEADERS += src/modules/ellswift/tests_impl.h +noinst_HEADERS += src/modules/ellswift/tests_exhaustive_impl.h diff --git a/src/secp256k1/src/modules/ellswift/bench_impl.h b/src/secp256k1/src/modules/ellswift/bench_impl.h new file mode 100644 index 00000000..b16a3a36 --- /dev/null +++ b/src/secp256k1/src/modules/ellswift/bench_impl.h @@ -0,0 +1,106 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_BENCH_H +#define SECP256K1_MODULE_ELLSWIFT_BENCH_H + +#include "../../../include/secp256k1_ellswift.h" + +typedef struct { + secp256k1_context *ctx; + secp256k1_pubkey point[256]; + unsigned char rnd64[64]; +} bench_ellswift_data; + +static void bench_ellswift_setup(void *arg) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + static const unsigned char init[64] = { + 0x78, 0x1f, 0xb7, 0xd4, 0x67, 0x7f, 0x08, 0x68, + 0xdb, 0xe3, 0x1d, 0x7f, 0x1b, 0xb0, 0xf6, 0x9e, + 0x0a, 0x64, 0xca, 0x32, 0x9e, 0xc6, 0x20, 0x79, + 0x03, 0xf3, 0xd0, 0x46, 0x7a, 0x0f, 0xd2, 0x21, + 0xb0, 0x2c, 0x46, 0xd8, 0xba, 0xca, 0x26, 0x4f, + 0x8f, 0x8c, 0xd4, 0xdd, 0x2d, 0x04, 0xbe, 0x30, + 0x48, 0x51, 0x1e, 0xd4, 0x16, 0xfd, 0x42, 0x85, + 0x62, 0xc9, 0x02, 0xf9, 0x89, 0x84, 0xff, 0xdc + }; + memcpy(data->rnd64, init, 64); + for (i = 0; i < 256; ++i) { + int j; + CHECK(secp256k1_ellswift_decode(data->ctx, &data->point[i], data->rnd64)); + for (j = 0; j < 64; ++j) { + data->rnd64[j] += 1; + } + } + CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[255], init + 16)); +} + +static void bench_ellswift_encode(void *arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[i & 255], data->rnd64 + 16)); + } +} + +static void bench_ellswift_create(void *arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + unsigned char buf[64]; + CHECK(secp256k1_ellswift_create(data->ctx, buf, data->rnd64, data->rnd64 + 32)); + memcpy(data->rnd64, buf, 64); + } +} + +static void bench_ellswift_decode(void *arg, int iters) { + int i; + secp256k1_pubkey out; + size_t len; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_decode(data->ctx, &out, data->rnd64) == 1); + len = 33; + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, data->rnd64 + (i % 32), &len, &out, SECP256K1_EC_COMPRESSED)); + } +} + +static void bench_ellswift_xdh(void *arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + int party = i & 1; + CHECK(secp256k1_ellswift_xdh(data->ctx, + data->rnd64 + (i % 33), + data->rnd64, + data->rnd64, + data->rnd64 + ((i + 16) % 33), + party, + secp256k1_ellswift_xdh_hash_function_bip324, + NULL) == 1); + } +} + +void run_ellswift_bench(int iters, int argc, char **argv) { + bench_ellswift_data data; + int d = argc == 1; + + /* create a context with signing capabilities */ + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "encode") || have_flag(argc, argv, "ellswift_encode")) run_benchmark("ellswift_encode", bench_ellswift_encode, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "decode") || have_flag(argc, argv, "ellswift_decode")) run_benchmark("ellswift_decode", bench_ellswift_decode, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ellswift_keygen")) run_benchmark("ellswift_keygen", bench_ellswift_create, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "ecdh") || have_flag(argc, argv, "ellswift_ecdh")) run_benchmark("ellswift_ecdh", bench_ellswift_xdh, bench_ellswift_setup, NULL, &data, 10, iters); + + secp256k1_context_destroy(data.ctx); +} + +#endif diff --git a/src/secp256k1/src/modules/ellswift/main_impl.h b/src/secp256k1/src/modules/ellswift/main_impl.h new file mode 100644 index 00000000..745a9691 --- /dev/null +++ b/src/secp256k1/src/modules/ellswift/main_impl.h @@ -0,0 +1,592 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_MAIN_H +#define SECP256K1_MODULE_ELLSWIFT_MAIN_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_ellswift.h" +#include "../../eckey.h" +#include "../../hash.h" + +/** c1 = (sqrt(-3)-1)/2 */ +static const secp256k1_fe secp256k1_ellswift_c1 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa40); +/** c2 = (-sqrt(-3)-1)/2 = -(c1+1) */ +static const secp256k1_fe secp256k1_ellswift_c2 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ee); +/** c3 = (-sqrt(-3)+1)/2 = -c1 = c2+1 */ +static const secp256k1_fe secp256k1_ellswift_c3 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ef); +/** c4 = (sqrt(-3)+1)/2 = -c2 = c1+1 */ +static const secp256k1_fe secp256k1_ellswift_c4 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa41); + +/** Decode ElligatorSwift encoding (u, t) to a fraction xn/xd representing a curve X coordinate. */ +static void secp256k1_ellswift_xswiftec_frac_var(secp256k1_fe *xn, secp256k1_fe *xd, const secp256k1_fe *u, const secp256k1_fe *t) { + /* The implemented algorithm is the following (all operations in GF(p)): + * + * - Let c0 = sqrt(-3) = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852. + * - If u = 0, set u = 1. + * - If t = 0, set t = 1. + * - If u^3+7+t^2 = 0, set t = 2*t. + * - Let X = (u^3+7-t^2)/(2*t). + * - Let Y = (X+t)/(c0*u). + * - If x3 = u+4*Y^2 is a valid x coordinate, return it. + * - If x2 = (-X/Y-u)/2 is a valid x coordinate, return it. + * - Return x1 = (X/Y-u)/2 (which is now guaranteed to be a valid x coordinate). + * + * Introducing s=t^2, g=u^3+7, and simplifying x1=-(x2+u) we get: + * + * - Let c0 = ... + * - If u = 0, set u = 1. + * - If t = 0, set t = 1. + * - Let s = t^2 + * - Let g = u^3+7 + * - If g+s = 0, set t = 2*t, s = 4*s + * - Let X = (g-s)/(2*t). + * - Let Y = (X+t)/(c0*u) = (g+s)/(2*c0*t*u). + * - If x3 = u+4*Y^2 is a valid x coordinate, return it. + * - If x2 = (-X/Y-u)/2 is a valid x coordinate, return it. + * - Return x1 = -(x2+u). + * + * Now substitute Y^2 = -(g+s)^2/(12*s*u^2) and X/Y = c0*u*(g-s)/(g+s). This + * means X and Y do not need to be evaluated explicitly anymore. + * + * - ... + * - If g+s = 0, set s = 4*s. + * - If x3 = u-(g+s)^2/(3*s*u^2) is a valid x coordinate, return it. + * - If x2 = (-c0*u*(g-s)/(g+s)-u)/2 is a valid x coordinate, return it. + * - Return x1 = -(x2+u). + * + * Simplifying x2 using 2 additional constants: + * + * - Let c1 = (c0-1)/2 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40. + * - Let c2 = (-c0-1)/2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee. + * - ... + * - If x2 = u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it. + * - ... + * + * Writing x3 as a fraction: + * + * - ... + * - If x3 = (3*s*u^3-(g+s)^2)/(3*s*u^2) ... + * - ... + + * Overall, we get: + * + * - Let c1 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40. + * - Let c2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee. + * - If u = 0, set u = 1. + * - If t = 0, set s = 1, else set s = t^2. + * - Let g = u^3+7. + * - If g+s = 0, set s = 4*s. + * - If x3 = (3*s*u^3-(g+s)^2)/(3*s*u^2) is a valid x coordinate, return it. + * - If x2 = u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it. + * - Return x1 = -(x2+u). + */ + secp256k1_fe u1, s, g, p, d, n, l; + u1 = *u; + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&u1), 0)) u1 = secp256k1_fe_one; + secp256k1_fe_sqr(&s, t); + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(t), 0)) s = secp256k1_fe_one; + secp256k1_fe_sqr(&l, &u1); /* l = u^2 */ + secp256k1_fe_mul(&g, &l, &u1); /* g = u^3 */ + secp256k1_fe_add_int(&g, SECP256K1_B); /* g = u^3 + 7 */ + p = g; /* p = g */ + secp256k1_fe_add(&p, &s); /* p = g+s */ + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&p), 0)) { + secp256k1_fe_mul_int(&s, 4); + /* Recompute p = g+s */ + p = g; /* p = g */ + secp256k1_fe_add(&p, &s); /* p = g+s */ + } + secp256k1_fe_mul(&d, &s, &l); /* d = s*u^2 */ + secp256k1_fe_mul_int(&d, 3); /* d = 3*s*u^2 */ + secp256k1_fe_sqr(&l, &p); /* l = (g+s)^2 */ + secp256k1_fe_negate(&l, &l, 1); /* l = -(g+s)^2 */ + secp256k1_fe_mul(&n, &d, &u1); /* n = 3*s*u^3 */ + secp256k1_fe_add(&n, &l); /* n = 3*s*u^3-(g+s)^2 */ + if (secp256k1_ge_x_frac_on_curve_var(&n, &d)) { + /* Return x3 = n/d = (3*s*u^3-(g+s)^2)/(3*s*u^2) */ + *xn = n; + *xd = d; + return; + } + *xd = p; + secp256k1_fe_mul(&l, &secp256k1_ellswift_c1, &s); /* l = c1*s */ + secp256k1_fe_mul(&n, &secp256k1_ellswift_c2, &g); /* n = c2*g */ + secp256k1_fe_add(&n, &l); /* n = c1*s+c2*g */ + secp256k1_fe_mul(&n, &n, &u1); /* n = u*(c1*s+c2*g) */ + /* Possible optimization: in the invocation below, p^2 = (g+s)^2 is computed, + * which we already have computed above. This could be deduplicated. */ + if (secp256k1_ge_x_frac_on_curve_var(&n, &p)) { + /* Return x2 = n/p = u*(c1*s+c2*g)/(g+s) */ + *xn = n; + return; + } + secp256k1_fe_mul(&l, &p, &u1); /* l = u*(g+s) */ + secp256k1_fe_add(&n, &l); /* n = u*(c1*s+c2*g)+u*(g+s) */ + secp256k1_fe_negate(xn, &n, 2); /* n = -u*(c1*s+c2*g)-u*(g+s) */ + + VERIFY_CHECK(secp256k1_ge_x_frac_on_curve_var(xn, &p)); + /* Return x3 = n/p = -(u*(c1*s+c2*g)/(g+s)+u) */ +} + +/** Decode ElligatorSwift encoding (u, t) to X coordinate. */ +static void secp256k1_ellswift_xswiftec_var(secp256k1_fe *x, const secp256k1_fe *u, const secp256k1_fe *t) { + secp256k1_fe xn, xd; + secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, u, t); + secp256k1_fe_inv_var(&xd, &xd); + secp256k1_fe_mul(x, &xn, &xd); +} + +/** Decode ElligatorSwift encoding (u, t) to point P. */ +static void secp256k1_ellswift_swiftec_var(secp256k1_ge *p, const secp256k1_fe *u, const secp256k1_fe *t) { + secp256k1_fe x; + secp256k1_ellswift_xswiftec_var(&x, u, t); + secp256k1_ge_set_xo_var(p, &x, secp256k1_fe_is_odd(t)); +} + +/* Try to complete an ElligatorSwift encoding (u, t) for X coordinate x, given u and x. + * + * There may be up to 8 distinct t values such that (u, t) decodes back to x, but also + * fewer, or none at all. Each such partial inverse can be accessed individually using a + * distinct input argument c (in range 0-7), and some or all of these may return failure. + * The following guarantees exist: + * - Given (x, u), no two distinct c values give the same successful result t. + * - Every successful result maps back to x through secp256k1_ellswift_xswiftec_var. + * - Given (x, u), all t values that map back to x can be reached by combining the + * successful results from this function over all c values, with the exception of: + * - this function cannot be called with u=0 + * - no result with t=0 will be returned + * - no result for which u^3 + t^2 + 7 = 0 will be returned. + * + * The rather unusual encoding of bits in c (a large "if" based on the middle bit, and then + * using the low and high bits to pick signs of square roots) is to match the paper's + * encoding more closely: c=0 through c=3 match branches 1..4 in the paper, while c=4 through + * c=7 are copies of those with an additional negation of sqrt(w). + */ +static int secp256k1_ellswift_xswiftec_inv_var(secp256k1_fe *t, const secp256k1_fe *x_in, const secp256k1_fe *u_in, int c) { + /* The implemented algorithm is this (all arithmetic, except involving c, is mod p): + * + * - If (c & 2) = 0: + * - If (-x-u) is a valid X coordinate, fail. + * - Let s=-(u^3+7)/(u^2+u*x+x^2). + * - If s is not square, fail. + * - Let v=x. + * - If (c & 2) = 2: + * - Let s=x-u. + * - If s is not square, fail. + * - Let r=sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist. + * - If (c & 1) = 1 and r = 0, fail. + * - If s=0, fail. + * - Let v=(r/s-u)/2. + * - Let w=sqrt(s). + * - If (c & 5) = 0: return -w*(c3*u + v). + * - If (c & 5) = 1: return w*(c4*u + v). + * - If (c & 5) = 4: return w*(c3*u + v). + * - If (c & 5) = 5: return -w*(c4*u + v). + */ + secp256k1_fe x = *x_in, u = *u_in, g, v, s, m, r, q; + int ret; + + secp256k1_fe_normalize_weak(&x); + secp256k1_fe_normalize_weak(&u); + + VERIFY_CHECK(c >= 0 && c < 8); + VERIFY_CHECK(secp256k1_ge_x_on_curve_var(&x)); + + if (!(c & 2)) { + /* c is in {0, 1, 4, 5}. In this case we look for an inverse under the x1 (if c=0 or + * c=4) formula, or x2 (if c=1 or c=5) formula. */ + + /* If -u-x is a valid X coordinate, fail. This would yield an encoding that roundtrips + * back under the x3 formula instead (which has priority over x1 and x2, so the decoding + * would not match x). */ + m = x; /* m = x */ + secp256k1_fe_add(&m, &u); /* m = u+x */ + secp256k1_fe_negate(&m, &m, 2); /* m = -u-x */ + /* Test if (-u-x) is a valid X coordinate. If so, fail. */ + if (secp256k1_ge_x_on_curve_var(&m)) return 0; + + /* Let s = -(u^3 + 7)/(u^2 + u*x + x^2) [first part] */ + secp256k1_fe_sqr(&s, &m); /* s = (u+x)^2 */ + secp256k1_fe_negate(&s, &s, 1); /* s = -(u+x)^2 */ + secp256k1_fe_mul(&m, &u, &x); /* m = u*x */ + secp256k1_fe_add(&s, &m); /* s = -(u^2 + u*x + x^2) */ + + /* Note that at this point, s = 0 is impossible. If it were the case: + * s = -(u^2 + u*x + x^2) = 0 + * => u^2 + u*x + x^2 = 0 + * => (u + 2*x) * (u^2 + u*x + x^2) = 0 + * => 2*x^3 + 3*x^2*u + 3*x*u^2 + u^3 = 0 + * => (x + u)^3 + x^3 = 0 + * => x^3 = -(x + u)^3 + * => x^3 + B = (-u - x)^3 + B + * + * However, we know x^3 + B is square (because x is on the curve) and + * that (-u-x)^3 + B is not square (the secp256k1_ge_x_on_curve_var(&m) + * test above would have failed). This is a contradiction, and thus the + * assumption s=0 is false. */ + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(&s)); + + /* If s is not square, fail. We have not fully computed s yet, but s is square iff + * -(u^3+7)*(u^2+u*x+x^2) is square (because a/b is square iff a*b is square and b is + * nonzero). */ + secp256k1_fe_sqr(&g, &u); /* g = u^2 */ + secp256k1_fe_mul(&g, &g, &u); /* g = u^3 */ + secp256k1_fe_add_int(&g, SECP256K1_B); /* g = u^3+7 */ + secp256k1_fe_mul(&m, &s, &g); /* m = -(u^3 + 7)*(u^2 + u*x + x^2) */ + if (!secp256k1_fe_is_square_var(&m)) return 0; + + /* Let s = -(u^3 + 7)/(u^2 + u*x + x^2) [second part] */ + secp256k1_fe_inv_var(&s, &s); /* s = -1/(u^2 + u*x + x^2) [no div by 0] */ + secp256k1_fe_mul(&s, &s, &g); /* s = -(u^3 + 7)/(u^2 + u*x + x^2) */ + + /* Let v = x. */ + v = x; + } else { + /* c is in {2, 3, 6, 7}. In this case we look for an inverse under the x3 formula. */ + + /* Let s = x-u. */ + secp256k1_fe_negate(&m, &u, 1); /* m = -u */ + s = m; /* s = -u */ + secp256k1_fe_add(&s, &x); /* s = x-u */ + + /* If s is not square, fail. */ + if (!secp256k1_fe_is_square_var(&s)) return 0; + + /* Let r = sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist. */ + secp256k1_fe_sqr(&g, &u); /* g = u^2 */ + secp256k1_fe_mul(&q, &s, &g); /* q = s*u^2 */ + secp256k1_fe_mul_int(&q, 3); /* q = 3*s*u^2 */ + secp256k1_fe_mul(&g, &g, &u); /* g = u^3 */ + secp256k1_fe_mul_int(&g, 4); /* g = 4*u^3 */ + secp256k1_fe_add_int(&g, 4 * SECP256K1_B); /* g = 4*(u^3+7) */ + secp256k1_fe_add(&q, &g); /* q = 4*(u^3+7)+3*s*u^2 */ + secp256k1_fe_mul(&q, &q, &s); /* q = s*(4*(u^3+7)+3*u^2*s) */ + secp256k1_fe_negate(&q, &q, 1); /* q = -s*(4*(u^3+7)+3*u^2*s) */ + if (!secp256k1_fe_is_square_var(&q)) return 0; + ret = secp256k1_fe_sqrt(&r, &q); /* r = sqrt(-s*(4*(u^3+7)+3*u^2*s)) */ +#ifdef VERIFY + VERIFY_CHECK(ret); +#else + (void)ret; +#endif + + /* If (c & 1) = 1 and r = 0, fail. */ + if (EXPECT((c & 1) && secp256k1_fe_normalizes_to_zero_var(&r), 0)) return 0; + + /* If s = 0, fail. */ + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&s), 0)) return 0; + + /* Let v = (r/s-u)/2. */ + secp256k1_fe_inv_var(&v, &s); /* v = 1/s [no div by 0] */ + secp256k1_fe_mul(&v, &v, &r); /* v = r/s */ + secp256k1_fe_add(&v, &m); /* v = r/s-u */ + secp256k1_fe_half(&v); /* v = (r/s-u)/2 */ + } + + /* Let w = sqrt(s). */ + ret = secp256k1_fe_sqrt(&m, &s); /* m = sqrt(s) = w */ + VERIFY_CHECK(ret); + + /* Return logic. */ + if ((c & 5) == 0 || (c & 5) == 5) { + secp256k1_fe_negate(&m, &m, 1); /* m = -w */ + } + /* Now m = {-w if c&5=0 or c&5=5; w otherwise}. */ + secp256k1_fe_mul(&u, &u, c&1 ? &secp256k1_ellswift_c4 : &secp256k1_ellswift_c3); + /* u = {c4 if c&1=1; c3 otherwise}*u */ + secp256k1_fe_add(&u, &v); /* u = {c4 if c&1=1; c3 otherwise}*u + v */ + secp256k1_fe_mul(t, &m, &u); + return 1; +} + +/** Use SHA256 as a PRNG, returning SHA256(hasher || cnt). + * + * hasher is a SHA256 object to which an incrementing 4-byte counter is written to generate randomness. + * Writing 13 bytes (4 bytes for counter, plus 9 bytes for the SHA256 padding) cannot cross a + * 64-byte block size boundary (to make sure it only triggers a single SHA256 compression). */ +static void secp256k1_ellswift_prng(unsigned char* out32, const secp256k1_sha256 *hasher, uint32_t cnt) { + secp256k1_sha256 hash = *hasher; + unsigned char buf4[4]; +#ifdef VERIFY + size_t blocks = hash.bytes >> 6; +#endif + buf4[0] = cnt; + buf4[1] = cnt >> 8; + buf4[2] = cnt >> 16; + buf4[3] = cnt >> 24; + secp256k1_sha256_write(&hash, buf4, 4); + secp256k1_sha256_finalize(&hash, out32); + + /* Writing and finalizing together should trigger exactly one SHA256 compression. */ + VERIFY_CHECK(((hash.bytes) >> 6) == (blocks + 1)); +} + +/** Find an ElligatorSwift encoding (u, t) for X coordinate x, and random Y coordinate. + * + * u32 is the 32-byte big endian encoding of u; t is the output field element t that still + * needs encoding. + * + * hasher is a hasher in the secp256k1_ellswift_prng sense, with the same restrictions. */ +static void secp256k1_ellswift_xelligatorswift_var(unsigned char *u32, secp256k1_fe *t, const secp256k1_fe *x, const secp256k1_sha256 *hasher) { + /* Pool of 3-bit branch values. */ + unsigned char branch_hash[32]; + /* Number of 3-bit values in branch_hash left. */ + int branches_left = 0; + /* Field elements u and branch values are extracted from RNG based on hasher for consecutive + * values of cnt. cnt==0 is first used to populate a pool of 64 4-bit branch values. The 64 + * cnt values that follow are used to generate field elements u. cnt==65 (and multiples + * thereof) are used to repopulate the pool and start over, if that were ever necessary. + * On average, 4 iterations are needed. */ + uint32_t cnt = 0; + while (1) { + int branch; + secp256k1_fe u; + /* If the pool of branch values is empty, populate it. */ + if (branches_left == 0) { + secp256k1_ellswift_prng(branch_hash, hasher, cnt++); + branches_left = 64; + } + /* Take a 3-bit branch value from the branch pool (top bit is discarded). */ + --branches_left; + branch = (branch_hash[branches_left >> 1] >> ((branches_left & 1) << 2)) & 7; + /* Compute a new u value by hashing. */ + secp256k1_ellswift_prng(u32, hasher, cnt++); + /* overflow is not a problem (we prefer uniform u32 over uniform u). */ + secp256k1_fe_set_b32_mod(&u, u32); + /* Since u is the output of a hash, it should practically never be 0. We could apply the + * u=0 to u=1 correction here too to deal with that case still, but it's such a low + * probability event that we do not bother. */ + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(&u)); + + /* Find a remainder t, and return it if found. */ + if (EXPECT(secp256k1_ellswift_xswiftec_inv_var(t, x, &u, branch), 0)) break; + } +} + +/** Find an ElligatorSwift encoding (u, t) for point P. + * + * This is similar secp256k1_ellswift_xelligatorswift_var, except it takes a full group element p + * as input, and returns an encoding that matches the provided Y coordinate rather than a random + * one. + */ +static void secp256k1_ellswift_elligatorswift_var(unsigned char *u32, secp256k1_fe *t, const secp256k1_ge *p, const secp256k1_sha256 *hasher) { + secp256k1_ellswift_xelligatorswift_var(u32, t, &p->x, hasher); + secp256k1_fe_normalize_var(t); + if (secp256k1_fe_is_odd(t) != secp256k1_fe_is_odd(&p->y)) { + secp256k1_fe_negate(t, t, 1); + secp256k1_fe_normalize_var(t); + } +} + +/** Set hash state to the BIP340 tagged hash midstate for "secp256k1_ellswift_encode". */ +static void secp256k1_ellswift_sha256_init_encode(secp256k1_sha256* hash) { + secp256k1_sha256_initialize(hash); + hash->s[0] = 0xd1a6524bul; + hash->s[1] = 0x028594b3ul; + hash->s[2] = 0x96e42f4eul; + hash->s[3] = 0x1037a177ul; + hash->s[4] = 0x1b8fcb8bul; + hash->s[5] = 0x56023885ul; + hash->s[6] = 0x2560ede1ul; + hash->s[7] = 0xd626b715ul; + + hash->bytes = 64; +} + +int secp256k1_ellswift_encode(const secp256k1_context *ctx, unsigned char *ell64, const secp256k1_pubkey *pubkey, const unsigned char *rnd32) { + secp256k1_ge p; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(ell64 != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(rnd32 != NULL); + + if (secp256k1_pubkey_load(ctx, &p, pubkey)) { + secp256k1_fe t; + unsigned char p64[64] = {0}; + size_t ser_size; + int ser_ret; + secp256k1_sha256 hash; + + /* Set up hasher state; the used RNG is H(pubkey || "\x00"*31 || rnd32 || cnt++), using + * BIP340 tagged hash with tag "secp256k1_ellswift_encode". */ + secp256k1_ellswift_sha256_init_encode(&hash); + ser_ret = secp256k1_eckey_pubkey_serialize(&p, p64, &ser_size, 1); +#ifdef VERIFY + VERIFY_CHECK(ser_ret && ser_size == 33); +#else + (void)ser_ret; +#endif + secp256k1_sha256_write(&hash, p64, sizeof(p64)); + secp256k1_sha256_write(&hash, rnd32, 32); + + /* Compute ElligatorSwift encoding and construct output. */ + secp256k1_ellswift_elligatorswift_var(ell64, &t, &p, &hash); /* puts u in ell64[0..32] */ + secp256k1_fe_get_b32(ell64 + 32, &t); /* puts t in ell64[32..64] */ + return 1; + } + /* Only reached in case the provided pubkey is invalid. */ + memset(ell64, 0, 64); + return 0; +} + +/** Set hash state to the BIP340 tagged hash midstate for "secp256k1_ellswift_create". */ +static void secp256k1_ellswift_sha256_init_create(secp256k1_sha256* hash) { + secp256k1_sha256_initialize(hash); + hash->s[0] = 0xd29e1bf5ul; + hash->s[1] = 0xf7025f42ul; + hash->s[2] = 0x9b024773ul; + hash->s[3] = 0x094cb7d5ul; + hash->s[4] = 0xe59ed789ul; + hash->s[5] = 0x03bc9786ul; + hash->s[6] = 0x68335b35ul; + hash->s[7] = 0x4e363b53ul; + + hash->bytes = 64; +} + +int secp256k1_ellswift_create(const secp256k1_context *ctx, unsigned char *ell64, const unsigned char *seckey32, const unsigned char *auxrnd32) { + secp256k1_ge p; + secp256k1_fe t; + secp256k1_sha256 hash; + secp256k1_scalar seckey_scalar; + int ret; + static const unsigned char zero32[32] = {0}; + + /* Sanity check inputs. */ + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(ell64 != NULL); + memset(ell64, 0, 64); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(seckey32 != NULL); + + /* Compute (affine) public key */ + ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey32); + secp256k1_declassify(ctx, &p, sizeof(p)); /* not constant time in produced pubkey */ + secp256k1_fe_normalize_var(&p.x); + secp256k1_fe_normalize_var(&p.y); + + /* Set up hasher state. The used RNG is H(privkey || "\x00"*32 [|| auxrnd32] || cnt++), + * using BIP340 tagged hash with tag "secp256k1_ellswift_create". */ + secp256k1_ellswift_sha256_init_create(&hash); + secp256k1_sha256_write(&hash, seckey32, 32); + secp256k1_sha256_write(&hash, zero32, sizeof(zero32)); + secp256k1_declassify(ctx, &hash, sizeof(hash)); /* private key is hashed now */ + if (auxrnd32) secp256k1_sha256_write(&hash, auxrnd32, 32); + + /* Compute ElligatorSwift encoding and construct output. */ + secp256k1_ellswift_elligatorswift_var(ell64, &t, &p, &hash); /* puts u in ell64[0..32] */ + secp256k1_fe_get_b32(ell64 + 32, &t); /* puts t in ell64[32..64] */ + + secp256k1_memczero(ell64, 64, !ret); + secp256k1_scalar_clear(&seckey_scalar); + + return ret; +} + +int secp256k1_ellswift_decode(const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *ell64) { + secp256k1_fe u, t; + secp256k1_ge p; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(ell64 != NULL); + + secp256k1_fe_set_b32_mod(&u, ell64); + secp256k1_fe_set_b32_mod(&t, ell64 + 32); + secp256k1_fe_normalize_var(&t); + secp256k1_ellswift_swiftec_var(&p, &u, &t); + secp256k1_pubkey_save(pubkey, &p); + return 1; +} + +static int ellswift_xdh_hash_function_prefix(unsigned char *output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) { + secp256k1_sha256 sha; + + secp256k1_sha256_initialize(&sha); + secp256k1_sha256_write(&sha, data, 64); + secp256k1_sha256_write(&sha, ell_a64, 64); + secp256k1_sha256_write(&sha, ell_b64, 64); + secp256k1_sha256_write(&sha, x32, 32); + secp256k1_sha256_finalize(&sha, output); + secp256k1_sha256_clear(&sha); + + return 1; +} + +/** Set hash state to the BIP340 tagged hash midstate for "bip324_ellswift_xonly_ecdh". */ +static void secp256k1_ellswift_sha256_init_bip324(secp256k1_sha256* hash) { + secp256k1_sha256_initialize(hash); + hash->s[0] = 0x8c12d730ul; + hash->s[1] = 0x827bd392ul; + hash->s[2] = 0x9e4fb2eeul; + hash->s[3] = 0x207b373eul; + hash->s[4] = 0x2292bd7aul; + hash->s[5] = 0xaa5441bcul; + hash->s[6] = 0x15c3779ful; + hash->s[7] = 0xcfb52549ul; + + hash->bytes = 64; +} + +static int ellswift_xdh_hash_function_bip324(unsigned char* output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) { + secp256k1_sha256 sha; + + (void)data; + + secp256k1_ellswift_sha256_init_bip324(&sha); + secp256k1_sha256_write(&sha, ell_a64, 64); + secp256k1_sha256_write(&sha, ell_b64, 64); + secp256k1_sha256_write(&sha, x32, 32); + secp256k1_sha256_finalize(&sha, output); + secp256k1_sha256_clear(&sha); + + return 1; +} + +const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_prefix = ellswift_xdh_hash_function_prefix; +const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_bip324 = ellswift_xdh_hash_function_bip324; + +int secp256k1_ellswift_xdh(const secp256k1_context *ctx, unsigned char *output, const unsigned char *ell_a64, const unsigned char *ell_b64, const unsigned char *seckey32, int party, secp256k1_ellswift_xdh_hash_function hashfp, void *data) { + int ret = 0; + int overflow; + secp256k1_scalar s; + secp256k1_fe xn, xd, px, u, t; + unsigned char sx[32]; + const unsigned char* theirs64; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(output != NULL); + ARG_CHECK(ell_a64 != NULL); + ARG_CHECK(ell_b64 != NULL); + ARG_CHECK(seckey32 != NULL); + ARG_CHECK(hashfp != NULL); + + /* Load remote public key (as fraction). */ + theirs64 = party ? ell_a64 : ell_b64; + secp256k1_fe_set_b32_mod(&u, theirs64); + secp256k1_fe_set_b32_mod(&t, theirs64 + 32); + secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, &u, &t); + + /* Load private key (using one if invalid). */ + secp256k1_scalar_set_b32(&s, seckey32, &overflow); + overflow = secp256k1_scalar_is_zero(&s); + secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow); + + /* Compute shared X coordinate. */ + secp256k1_ecmult_const_xonly(&px, &xn, &xd, &s, 1); + secp256k1_fe_normalize(&px); + secp256k1_fe_get_b32(sx, &px); + + /* Invoke hasher */ + ret = hashfp(output, sx, ell_a64, ell_b64, data); + + secp256k1_memclear(sx, sizeof(sx)); + secp256k1_fe_clear(&px); + secp256k1_scalar_clear(&s); + + return !!ret & !overflow; +} + +#endif diff --git a/src/secp256k1/src/modules/ellswift/tests_exhaustive_impl.h b/src/secp256k1/src/modules/ellswift/tests_exhaustive_impl.h new file mode 100644 index 00000000..839c24ae --- /dev/null +++ b/src/secp256k1/src/modules/ellswift/tests_exhaustive_impl.h @@ -0,0 +1,39 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_EXHAUSTIVE_H +#define SECP256K1_MODULE_ELLSWIFT_TESTS_EXHAUSTIVE_H + +#include "../../../include/secp256k1_ellswift.h" +#include "main_impl.h" + +static void test_exhaustive_ellswift(const secp256k1_context *ctx, const secp256k1_ge *group) { + int i; + + /* Note that SwiftEC/ElligatorSwift are inherently curve operations, not + * group operations, and this test only checks the curve points which are in + * a tiny subgroup. In that sense it can't be really seen as exhaustive as + * it doesn't (and for computational reasons obviously cannot) test the + * entire domain ellswift operates under. */ + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { + secp256k1_scalar scalar_i; + unsigned char sec32[32]; + unsigned char ell64[64]; + secp256k1_pubkey pub_decoded; + secp256k1_ge ge_decoded; + + /* Construct ellswift pubkey from exhaustive loop scalar i. */ + secp256k1_scalar_set_int(&scalar_i, i); + secp256k1_scalar_get_b32(sec32, &scalar_i); + CHECK(secp256k1_ellswift_create(ctx, ell64, sec32, NULL)); + + /* Decode ellswift pubkey and check that it matches the precomputed group element. */ + secp256k1_ellswift_decode(ctx, &pub_decoded, ell64); + secp256k1_pubkey_load(ctx, &ge_decoded, &pub_decoded); + CHECK(secp256k1_ge_eq_var(&ge_decoded, &group[i])); + } +} + +#endif diff --git a/src/secp256k1/src/modules/ellswift/tests_impl.h b/src/secp256k1/src/modules/ellswift/tests_impl.h new file mode 100644 index 00000000..3c314c9b --- /dev/null +++ b/src/secp256k1/src/modules/ellswift/tests_impl.h @@ -0,0 +1,436 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_H +#define SECP256K1_MODULE_ELLSWIFT_TESTS_H + +#include "../../../include/secp256k1_ellswift.h" + +struct ellswift_xswiftec_inv_test { + int enc_bitmap; + secp256k1_fe u; + secp256k1_fe x; + secp256k1_fe encs[8]; +}; + +struct ellswift_decode_test { + unsigned char enc[64]; + secp256k1_fe x; + int odd_y; +}; + +struct ellswift_xdh_test { + unsigned char priv_ours[32]; + unsigned char ellswift_ours[64]; + unsigned char ellswift_theirs[64]; + int initiating; + unsigned char shared_secret[32]; +}; + +/* Set of (point, encodings) test vectors, selected to maximize branch coverage, part of the BIP324 + * test vectors. Created using an independent implementation, and tested decoding against paper + * authors' code. */ +static const struct ellswift_xswiftec_inv_test ellswift_xswiftec_inv_tests[] = { + {0xcc, SECP256K1_FE_CONST(0x05ff6bda, 0xd900fc32, 0x61bc7fe3, 0x4e2fb0f5, 0x69f06e09, 0x1ae437d3, 0xa52e9da0, 0xcbfb9590), SECP256K1_FE_CONST(0x80cdf637, 0x74ec7022, 0xc89a5a85, 0x58e373a2, 0x79170285, 0xe0ab2741, 0x2dbce510, 0xbdfe23fc), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x45654798, 0xece071ba, 0x79286d04, 0xf7f3eb1c, 0x3f1d17dd, 0x883610f2, 0xad2efd82, 0xa287466b), SECP256K1_FE_CONST(0x0aeaa886, 0xf6b76c71, 0x58452418, 0xcbf5033a, 0xdc5747e9, 0xe9b5d3b2, 0x303db969, 0x36528557), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xba9ab867, 0x131f8e45, 0x86d792fb, 0x080c14e3, 0xc0e2e822, 0x77c9ef0d, 0x52d1027c, 0x5d78b5c4), SECP256K1_FE_CONST(0xf5155779, 0x0948938e, 0xa7badbe7, 0x340afcc5, 0x23a8b816, 0x164a2c4d, 0xcfc24695, 0xc9ad76d8)}}, + {0x33, SECP256K1_FE_CONST(0x1737a85f, 0x4c8d146c, 0xec96e3ff, 0xdca76d99, 0x03dcf3bd, 0x53061868, 0xd478c78c, 0x63c2aa9e), SECP256K1_FE_CONST(0x39e48dd1, 0x50d2f429, 0xbe088dfd, 0x5b61882e, 0x7e840748, 0x3702ae9a, 0x5ab35927, 0xb15f85ea), {SECP256K1_FE_CONST(0x1be8cc0b, 0x04be0c68, 0x1d0c6a68, 0xf733f82c, 0x6c896e0c, 0x8a262fcd, 0x392918e3, 0x03a7abf4), SECP256K1_FE_CONST(0x605b5814, 0xbf9b8cb0, 0x66667c9e, 0x5480d22d, 0xc5b6c92f, 0x14b4af3e, 0xe0a9eb83, 0xb03685e3), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xe41733f4, 0xfb41f397, 0xe2f39597, 0x08cc07d3, 0x937691f3, 0x75d9d032, 0xc6d6e71b, 0xfc58503b), SECP256K1_FE_CONST(0x9fa4a7eb, 0x4064734f, 0x99998361, 0xab7f2dd2, 0x3a4936d0, 0xeb4b50c1, 0x1f56147b, 0x4fc9764c), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x1aaa1cce, 0xbf9c7241, 0x91033df3, 0x66b36f69, 0x1c4d902c, 0x228033ff, 0x4516d122, 0xb2564f68), SECP256K1_FE_CONST(0xc7554125, 0x9d3ba98f, 0x207eaa30, 0xc69634d1, 0x87d0b6da, 0x594e719e, 0x420f4898, 0x638fc5b0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x2323a1d0, 0x79b0fd72, 0xfc8bb62e, 0xc34230a8, 0x15cb0596, 0xc2bfac99, 0x8bd6b842, 0x60f5dc26), SECP256K1_FE_CONST(0x239342df, 0xb675500a, 0x34a19631, 0x0b8d87d5, 0x4f49dcac, 0x9da50c17, 0x43ceab41, 0xa7b249ff), {SECP256K1_FE_CONST(0xf63580b8, 0xaa49c484, 0x6de56e39, 0xe1b3e73f, 0x171e881e, 0xba8c66f6, 0x14e67e5c, 0x975dfc07), SECP256K1_FE_CONST(0xb6307b33, 0x2e699f1c, 0xf77841d9, 0x0af25365, 0x404deb7f, 0xed5edb30, 0x90db49e6, 0x42a156b6), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x09ca7f47, 0x55b63b7b, 0x921a91c6, 0x1e4c18c0, 0xe8e177e1, 0x45739909, 0xeb1981a2, 0x68a20028), SECP256K1_FE_CONST(0x49cf84cc, 0xd19660e3, 0x0887be26, 0xf50dac9a, 0xbfb21480, 0x12a124cf, 0x6f24b618, 0xbd5ea579), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x2dc90e64, 0x0cb646ae, 0x9164c0b5, 0xa9ef0169, 0xfebe34dc, 0x4437d6e4, 0x6acb0e27, 0xe219d1e8), SECP256K1_FE_CONST(0xd236f19b, 0xf349b951, 0x6e9b3f4a, 0x5610fe96, 0x0141cb23, 0xbbc8291b, 0x9534f1d7, 0x1de62a47), {SECP256K1_FE_CONST(0xe69df7d9, 0xc026c366, 0x00ebdf58, 0x80726758, 0x47c0c431, 0xc8eb7306, 0x82533e96, 0x4b6252c9), SECP256K1_FE_CONST(0x4f18bbdf, 0x7c2d6c5f, 0x818c1880, 0x2fa35cd0, 0x69eaa79f, 0xff74e4fc, 0x837c80d9, 0x3fece2f8), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x19620826, 0x3fd93c99, 0xff1420a7, 0x7f8d98a7, 0xb83f3bce, 0x37148cf9, 0x7dacc168, 0xb49da966), SECP256K1_FE_CONST(0xb0e74420, 0x83d293a0, 0x7e73e77f, 0xd05ca32f, 0x96155860, 0x008b1b03, 0x7c837f25, 0xc0131937), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0x3edd7b39, 0x80e2f2f3, 0x4d1409a2, 0x07069f88, 0x1fda5f96, 0xf08027ac, 0x4465b63d, 0xc278d672), SECP256K1_FE_CONST(0x053a98de, 0x4a27b196, 0x1155822b, 0x3a3121f0, 0x3b2a1445, 0x8bd80eb4, 0xa560c4c7, 0xa85c149c), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb3dae4b7, 0xdcf858e4, 0xc6968057, 0xcef2b156, 0x46543152, 0x6538199c, 0xf52dc1b2, 0xd62fda30), SECP256K1_FE_CONST(0x4aa77dd5, 0x5d6b6d3c, 0xfa10cc9d, 0x0fe42f79, 0x232e4575, 0x661049ae, 0x36779c1d, 0x0c666d88), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x4c251b48, 0x2307a71b, 0x39697fa8, 0x310d4ea9, 0xb9abcead, 0x9ac7e663, 0x0ad23e4c, 0x29d021ff), SECP256K1_FE_CONST(0xb558822a, 0xa29492c3, 0x05ef3362, 0xf01bd086, 0xdcd1ba8a, 0x99efb651, 0xc98863e1, 0xf3998ea7)}}, + {0x00, SECP256K1_FE_CONST(0x4295737e, 0xfcb1da6f, 0xb1d96b9c, 0xa7dcd1e3, 0x20024b37, 0xa736c494, 0x8b625981, 0x73069f70), SECP256K1_FE_CONST(0xfa7ffe4f, 0x25f88362, 0x831c087a, 0xfe2e8a9b, 0x0713e2ca, 0xc1ddca6a, 0x383205a2, 0x66f14307), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0x587c1a0c, 0xee91939e, 0x7f784d23, 0xb963004a, 0x3bf44f5d, 0x4e32a008, 0x1995ba20, 0xb0fca59e), SECP256K1_FE_CONST(0x2ea98853, 0x0715e8d1, 0x0363907f, 0xf2512452, 0x4d471ba2, 0x454d5ce3, 0xbe3f0419, 0x4dfd3a3c), {SECP256K1_FE_CONST(0xcfd5a094, 0xaa0b9b88, 0x91b76c6a, 0xb9438f66, 0xaa1c095a, 0x65f9f701, 0x35e81712, 0x92245e74), SECP256K1_FE_CONST(0xa89057d7, 0xc6563f0d, 0x6efa19ae, 0x84412b8a, 0x7b47e791, 0xa191ecdf, 0xdf2af84f, 0xd97bc339), SECP256K1_FE_CONST(0x475d0ae9, 0xef46920d, 0xf07b3411, 0x7be5a081, 0x7de1023e, 0x3cc32689, 0xe9be145b, 0x406b0aef), SECP256K1_FE_CONST(0xa0759178, 0xad802324, 0x54f827ef, 0x05ea3e72, 0xad8d7541, 0x8e6d4cc1, 0xcd4f5306, 0xc5e7c453), SECP256K1_FE_CONST(0x302a5f6b, 0x55f46477, 0x6e489395, 0x46bc7099, 0x55e3f6a5, 0x9a0608fe, 0xca17e8ec, 0x6ddb9dbb), SECP256K1_FE_CONST(0x576fa828, 0x39a9c0f2, 0x9105e651, 0x7bbed475, 0x84b8186e, 0x5e6e1320, 0x20d507af, 0x268438f6), SECP256K1_FE_CONST(0xb8a2f516, 0x10b96df2, 0x0f84cbee, 0x841a5f7e, 0x821efdc1, 0xc33cd976, 0x1641eba3, 0xbf94f140), SECP256K1_FE_CONST(0x5f8a6e87, 0x527fdcdb, 0xab07d810, 0xfa15c18d, 0x52728abe, 0x7192b33e, 0x32b0acf8, 0x3a1837dc)}}, + {0xcc, SECP256K1_FE_CONST(0x5fa88b33, 0x65a635cb, 0xbcee003c, 0xce9ef51d, 0xd1a310de, 0x277e441a, 0xbccdb7be, 0x1e4ba249), SECP256K1_FE_CONST(0x79461ff6, 0x2bfcbcac, 0x4249ba84, 0xdd040f2c, 0xec3c63f7, 0x25204dc7, 0xf464c16b, 0xf0ff3170), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x6bb700e1, 0xf4d7e236, 0xe8d193ff, 0x4a76c1b3, 0xbcd4e2b2, 0x5acac3d5, 0x1c8dac65, 0x3fe909a0), SECP256K1_FE_CONST(0xf4c73410, 0x633da7f6, 0x3a4f1d55, 0xaec6dd32, 0xc4c6d89e, 0xe74075ed, 0xb5515ed9, 0x0da9e683), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x9448ff1e, 0x0b281dc9, 0x172e6c00, 0xb5893e4c, 0x432b1d4d, 0xa5353c2a, 0xe3725399, 0xc016f28f), SECP256K1_FE_CONST(0x0b38cbef, 0x9cc25809, 0xc5b0e2aa, 0x513922cd, 0x3b392761, 0x18bf8a12, 0x4aaea125, 0xf25615ac)}}, + {0xcc, SECP256K1_FE_CONST(0x6fb31c75, 0x31f03130, 0xb42b155b, 0x952779ef, 0xbb46087d, 0xd9807d24, 0x1a48eac6, 0x3c3d96d6), SECP256K1_FE_CONST(0x56f81be7, 0x53e8d4ae, 0x4940ea6f, 0x46f6ec9f, 0xda66a6f9, 0x6cc95f50, 0x6cb2b574, 0x90e94260), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x59059774, 0x795bdb7a, 0x837fbe11, 0x40a5fa59, 0x984f48af, 0x8df95d57, 0xdd6d1c05, 0x437dcec1), SECP256K1_FE_CONST(0x22a644db, 0x79376ad4, 0xe7b3a009, 0xe58b3f13, 0x137c54fd, 0xf911122c, 0xc93667c4, 0x7077d784), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xa6fa688b, 0x86a42485, 0x7c8041ee, 0xbf5a05a6, 0x67b0b750, 0x7206a2a8, 0x2292e3f9, 0xbc822d6e), SECP256K1_FE_CONST(0xdd59bb24, 0x86c8952b, 0x184c5ff6, 0x1a74c0ec, 0xec83ab02, 0x06eeedd3, 0x36c9983a, 0x8f8824ab)}}, + {0x00, SECP256K1_FE_CONST(0x704cd226, 0xe71cb682, 0x6a590e80, 0xdac90f2d, 0x2f5830f0, 0xfdf135a3, 0xeae3965b, 0xff25ff12), SECP256K1_FE_CONST(0x138e0afa, 0x68936ee6, 0x70bd2b8d, 0xb53aedbb, 0x7bea2a85, 0x97388b24, 0xd0518edd, 0x22ad66ec), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x725e9147, 0x92cb8c89, 0x49e7e116, 0x8b7cdd8a, 0x8094c91c, 0x6ec2202c, 0xcd53a6a1, 0x8771edeb), SECP256K1_FE_CONST(0x8da16eb8, 0x6d347376, 0xb6181ee9, 0x74832275, 0x7f6b36e3, 0x913ddfd3, 0x32ac595d, 0x788e0e44), {SECP256K1_FE_CONST(0xdd357786, 0xb9f68733, 0x30391aa5, 0x62580965, 0x4e43116e, 0x82a5a5d8, 0x2ffd1d66, 0x24101fc4), SECP256K1_FE_CONST(0xa0b7efca, 0x01814594, 0xc59c9aae, 0x8e497001, 0x86ca5d95, 0xe88bcc80, 0x399044d9, 0xc2d8613d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x22ca8879, 0x460978cc, 0xcfc6e55a, 0x9da7f69a, 0xb1bcee91, 0x7d5a5a27, 0xd002e298, 0xdbefdc6b), SECP256K1_FE_CONST(0x5f481035, 0xfe7eba6b, 0x3a636551, 0x71b68ffe, 0x7935a26a, 0x1774337f, 0xc66fbb25, 0x3d279af2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x78fe6b71, 0x7f2ea4a3, 0x2708d79c, 0x151bf503, 0xa5312a18, 0xc0963437, 0xe865cc6e, 0xd3f6ae97), SECP256K1_FE_CONST(0x8701948e, 0x80d15b5c, 0xd8f72863, 0xeae40afc, 0x5aced5e7, 0x3f69cbc8, 0x179a3390, 0x2c094d98), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x44, SECP256K1_FE_CONST(0x7c37bb9c, 0x5061dc07, 0x413f11ac, 0xd5a34006, 0xe64c5c45, 0x7fdb9a43, 0x8f217255, 0xa961f50d), SECP256K1_FE_CONST(0x5c1a76b4, 0x4568eb59, 0xd6789a74, 0x42d9ed7c, 0xdc6226b7, 0x752b4ff8, 0xeaf8e1a9, 0x5736e507), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb94d30cd, 0x7dbff60b, 0x64620c17, 0xca0fafaa, 0x40b3d1f5, 0x2d077a60, 0xa2e0cafd, 0x145086c2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x46b2cf32, 0x824009f4, 0x9b9df3e8, 0x35f05055, 0xbf4c2e0a, 0xd2f8859f, 0x5d1f3501, 0xebaf756d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x82388888, 0x967f82a6, 0xb444438a, 0x7d44838e, 0x13c0d478, 0xb9ca060d, 0xa95a41fb, 0x94303de6), SECP256K1_FE_CONST(0x29e96541, 0x70628fec, 0x8b497289, 0x8b113cf9, 0x8807f460, 0x9274f4f3, 0x140d0674, 0x157c90a0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x91298f57, 0x70af7a27, 0xf0a47188, 0xd24c3b7b, 0xf98ab299, 0x0d84b0b8, 0x98507e3c, 0x561d6472), SECP256K1_FE_CONST(0x144f4ccb, 0xd9a74698, 0xa88cbf6f, 0xd00ad886, 0xd339d29e, 0xa19448f2, 0xc572cac0, 0xa07d5562), {SECP256K1_FE_CONST(0xe6a0ffa3, 0x807f09da, 0xdbe71e0f, 0x4be4725f, 0x2832e76c, 0xad8dc1d9, 0x43ce8393, 0x75eff248), SECP256K1_FE_CONST(0x837b8e68, 0xd4917544, 0x764ad090, 0x3cb11f86, 0x15d2823c, 0xefbb06d8, 0x9049dbab, 0xc69befda), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x195f005c, 0x7f80f625, 0x2418e1f0, 0xb41b8da0, 0xd7cd1893, 0x52723e26, 0xbc317c6b, 0x8a1009e7), SECP256K1_FE_CONST(0x7c847197, 0x2b6e8abb, 0x89b52f6f, 0xc34ee079, 0xea2d7dc3, 0x1044f927, 0x6fb62453, 0x39640c55), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xb682f3d0, 0x3bbb5dee, 0x4f54b5eb, 0xfba931b4, 0xf52f6a19, 0x1e5c2f48, 0x3c73c66e, 0x9ace97e1), SECP256K1_FE_CONST(0x904717bf, 0x0bc0cb78, 0x73fcdc38, 0xaa97f19e, 0x3a626309, 0x72acff92, 0xb24cc6dd, 0xa197cb96), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x77, SECP256K1_FE_CONST(0xc17ec69e, 0x665f0fb0, 0xdbab48d9, 0xc2f94d12, 0xec8a9d7e, 0xacb58084, 0x83309180, 0x1eb0b80b), SECP256K1_FE_CONST(0x147756e6, 0x6d96e31c, 0x426d3cc8, 0x5ed0c4cf, 0xbef6341d, 0xd8b28558, 0x5aa574ea, 0x0204b55e), {SECP256K1_FE_CONST(0x6f4aea43, 0x1a0043bd, 0xd03134d6, 0xd9159119, 0xce034b88, 0xc32e50e8, 0xe36c4ee4, 0x5eac7ae9), SECP256K1_FE_CONST(0xfd5be16d, 0x4ffa2690, 0x126c67c3, 0xef7cb9d2, 0x9b74d397, 0xc78b06b3, 0x605fda34, 0xdc9696a6), SECP256K1_FE_CONST(0x5e9c6079, 0x2a2f000e, 0x45c6250f, 0x296f875e, 0x174efc0e, 0x9703e628, 0x706103a9, 0xdd2d82c7), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x90b515bc, 0xe5ffbc42, 0x2fcecb29, 0x26ea6ee6, 0x31fcb477, 0x3cd1af17, 0x1c93b11a, 0xa1538146), SECP256K1_FE_CONST(0x02a41e92, 0xb005d96f, 0xed93983c, 0x1083462d, 0x648b2c68, 0x3874f94c, 0x9fa025ca, 0x23696589), SECP256K1_FE_CONST(0xa1639f86, 0xd5d0fff1, 0xba39daf0, 0xd69078a1, 0xe8b103f1, 0x68fc19d7, 0x8f9efc55, 0x22d27968), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xc25172fc, 0x3f29b6fc, 0x4a1155b8, 0x57523315, 0x5486b274, 0x64b74b8b, 0x260b499a, 0x3f53cb14), SECP256K1_FE_CONST(0x1ea9cbdb, 0x35cf6e03, 0x29aa31b0, 0xbb0a702a, 0x65123ed0, 0x08655a93, 0xb7dcd528, 0x0e52e1ab), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x7422edc7, 0x843136af, 0x0053bb88, 0x54448a82, 0x99994f9d, 0xdcefd3a9, 0xa92d4546, 0x2c59298a), SECP256K1_FE_CONST(0x78c7774a, 0x266f8b97, 0xea23d05d, 0x064f033c, 0x77319f92, 0x3f6b78bc, 0xe4e20bf0, 0x5fa5398d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x8bdd1238, 0x7bcec950, 0xffac4477, 0xabbb757d, 0x6666b062, 0x23102c56, 0x56d2bab8, 0xd3a6d2a5), SECP256K1_FE_CONST(0x873888b5, 0xd9907468, 0x15dc2fa2, 0xf9b0fcc3, 0x88ce606d, 0xc0948743, 0x1b1df40e, 0xa05ac2a2)}}, + {0x00, SECP256K1_FE_CONST(0xcab6626f, 0x832a4b12, 0x80ba7add, 0x2fc5322f, 0xf011caed, 0xedf7ff4d, 0xb6735d50, 0x26dc0367), SECP256K1_FE_CONST(0x2b2bef08, 0x52c6f7c9, 0x5d72ac99, 0xa23802b8, 0x75029cd5, 0x73b248d1, 0xf1b3fc80, 0x33788eb6), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0xd8621b4f, 0xfc85b9ed, 0x56e99d8d, 0xd1dd24ae, 0xdcecb147, 0x63b861a1, 0x7112dc77, 0x1a104fd2), SECP256K1_FE_CONST(0x812cabe9, 0x72a22aa6, 0x7c7da0c9, 0x4d8a9362, 0x96eb9949, 0xd70c37cb, 0x2b248757, 0x4cb3ce58), {SECP256K1_FE_CONST(0xfbc5febc, 0x6fdbc9ae, 0x3eb88a93, 0xb982196e, 0x8b6275a6, 0xd5a73c17, 0x387e000c, 0x711bd0e3), SECP256K1_FE_CONST(0x8724c96b, 0xd4e5527f, 0x2dd195a5, 0x1c468d2d, 0x211ba2fa, 0xc7cbe0b4, 0xb3434253, 0x409fb42d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x043a0143, 0x90243651, 0xc147756c, 0x467de691, 0x749d8a59, 0x2a58c3e8, 0xc781fff2, 0x8ee42b4c), SECP256K1_FE_CONST(0x78db3694, 0x2b1aad80, 0xd22e6a5a, 0xe3b972d2, 0xdee45d05, 0x38341f4b, 0x4cbcbdab, 0xbf604802), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xda463164, 0xc6f4bf71, 0x29ee5f0e, 0xc00f65a6, 0x75a8adf1, 0xbd931b39, 0xb64806af, 0xdcda9a22), SECP256K1_FE_CONST(0x25b9ce9b, 0x390b408e, 0xd611a0f1, 0x3ff09a59, 0x8a57520e, 0x426ce4c6, 0x49b7f94f, 0x2325620d), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xdafc971e, 0x4a3a7b6d, 0xcfb42a08, 0xd9692d82, 0xad9e7838, 0x523fcbda, 0x1d4827e1, 0x4481ae2d), SECP256K1_FE_CONST(0x250368e1, 0xb5c58492, 0x304bd5f7, 0x2696d27d, 0x526187c7, 0xadc03425, 0xe2b7d81d, 0xbb7e4e02), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x370c28f1, 0xbe665efa, 0xcde6aa43, 0x6bf86fe2, 0x1e6e314c, 0x1e53dd04, 0x0e6c73a4, 0x6b4c8c49), SECP256K1_FE_CONST(0xcd8acee9, 0x8ffe5653, 0x1a84d7eb, 0x3e48fa40, 0x34206ce8, 0x25ace907, 0xd0edf0ea, 0xeb5e9ca2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xc8f3d70e, 0x4199a105, 0x321955bc, 0x9407901d, 0xe191ceb3, 0xe1ac22fb, 0xf1938c5a, 0x94b36fe6), SECP256K1_FE_CONST(0x32753116, 0x7001a9ac, 0xe57b2814, 0xc1b705bf, 0xcbdf9317, 0xda5316f8, 0x2f120f14, 0x14a15f8d)}}, + {0x44, SECP256K1_FE_CONST(0xe0294c8b, 0xc1a36b41, 0x66ee92bf, 0xa70a5c34, 0x976fa982, 0x9405efea, 0x8f9cd54d, 0xcb29b99e), SECP256K1_FE_CONST(0xae9690d1, 0x3b8d20a0, 0xfbbf37be, 0xd8474f67, 0xa04e142f, 0x56efd787, 0x70a76b35, 0x9165d8a1), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xdcd45d93, 0x5613916a, 0xf167b029, 0x058ba3a7, 0x00d37150, 0xb9df3472, 0x8cb05412, 0xc16d4182), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x232ba26c, 0xa9ec6e95, 0x0e984fd6, 0xfa745c58, 0xff2c8eaf, 0x4620cb8d, 0x734fabec, 0x3e92baad), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xe148441c, 0xd7b92b8b, 0x0e4fa3bd, 0x68712cfd, 0x0d709ad1, 0x98cace61, 0x1493c10e, 0x97f5394e), SECP256K1_FE_CONST(0x164a6397, 0x94d74c53, 0xafc4d329, 0x4e79cdb3, 0xcd25f99f, 0x6df45c00, 0x0f758aba, 0x54d699c0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0xe4b00ec9, 0x7aadcca9, 0x7644d3b0, 0xc8a931b1, 0x4ce7bcf7, 0xbc877954, 0x6d6e35aa, 0x5937381c), SECP256K1_FE_CONST(0x94e9588d, 0x41647b3f, 0xcc772dc8, 0xd83c67ce, 0x3be00353, 0x8517c834, 0x103d2cd4, 0x9d62ef4d), {SECP256K1_FE_CONST(0xc88d25f4, 0x1407376b, 0xb2c03a7f, 0xffeb3ec7, 0x811cc434, 0x91a0c3aa, 0xc0378cdc, 0x78357bee), SECP256K1_FE_CONST(0x51c02636, 0xce00c234, 0x5ecd89ad, 0xb6089fe4, 0xd5e18ac9, 0x24e3145e, 0x6669501c, 0xd37a00d4), SECP256K1_FE_CONST(0x205b3512, 0xdb40521c, 0xb200952e, 0x67b46f67, 0xe09e7839, 0xe0de4400, 0x4138329e, 0xbd9138c5), SECP256K1_FE_CONST(0x58aab390, 0xab6fb55c, 0x1d1b8089, 0x7a207ce9, 0x4a78fa5b, 0x4aa61a33, 0x398bcae9, 0xadb20d3e), SECP256K1_FE_CONST(0x3772da0b, 0xebf8c894, 0x4d3fc580, 0x0014c138, 0x7ee33bcb, 0x6e5f3c55, 0x3fc87322, 0x87ca8041), SECP256K1_FE_CONST(0xae3fd9c9, 0x31ff3dcb, 0xa1327652, 0x49f7601b, 0x2a1e7536, 0xdb1ceba1, 0x9996afe2, 0x2c85fb5b), SECP256K1_FE_CONST(0xdfa4caed, 0x24bfade3, 0x4dff6ad1, 0x984b9098, 0x1f6187c6, 0x1f21bbff, 0xbec7cd60, 0x426ec36a), SECP256K1_FE_CONST(0xa7554c6f, 0x54904aa3, 0xe2e47f76, 0x85df8316, 0xb58705a4, 0xb559e5cc, 0xc6743515, 0x524deef1)}}, + {0x00, SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0xe6bcb5c3, 0xd63467d4, 0x90bfa54f, 0xbbc6092a, 0x7248c25e, 0x11b248dc, 0x2964a6e1, 0x5edb1457), SECP256K1_FE_CONST(0x19434a3c, 0x29cb982b, 0x6f405ab0, 0x4439f6d5, 0x8db73da1, 0xee4db723, 0xd69b591d, 0xa124e7d8), {SECP256K1_FE_CONST(0x67119877, 0x832ab8f4, 0x59a82165, 0x6d8261f5, 0x44a553b8, 0x9ae4f25c, 0x52a97134, 0xb70f3426), SECP256K1_FE_CONST(0xffee02f5, 0xe649c07f, 0x0560eff1, 0x867ec7b3, 0x2d0e595e, 0x9b1c0ea6, 0xe2a4fc70, 0xc97cd71f), SECP256K1_FE_CONST(0xb5e0c189, 0xeb5b4bac, 0xd025b744, 0x4d74178b, 0xe8d5246c, 0xfa4a9a20, 0x7964a057, 0xee969992), SECP256K1_FE_CONST(0x5746e459, 0x1bf7f4c3, 0x044609ea, 0x372e9086, 0x03975d27, 0x9fdef834, 0x9f0b08d3, 0x2f07619d), SECP256K1_FE_CONST(0x98ee6788, 0x7cd5470b, 0xa657de9a, 0x927d9e0a, 0xbb5aac47, 0x651b0da3, 0xad568eca, 0x48f0c809), SECP256K1_FE_CONST(0x0011fd0a, 0x19b63f80, 0xfa9f100e, 0x7981384c, 0xd2f1a6a1, 0x64e3f159, 0x1d5b038e, 0x36832510), SECP256K1_FE_CONST(0x4a1f3e76, 0x14a4b453, 0x2fda48bb, 0xb28be874, 0x172adb93, 0x05b565df, 0x869b5fa7, 0x1169629d), SECP256K1_FE_CONST(0xa8b91ba6, 0xe4080b3c, 0xfbb9f615, 0xc8d16f79, 0xfc68a2d8, 0x602107cb, 0x60f4f72b, 0xd0f89a92)}}, + {0x33, SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), {SECP256K1_FE_CONST(0x4f867ad8, 0xbb3d8404, 0x09d26b67, 0x307e6210, 0x0153273f, 0x72fa4b74, 0x84becfa1, 0x4ebe7408), SECP256K1_FE_CONST(0x5bbc4f59, 0xe452cc5f, 0x22a99144, 0xb10ce898, 0x9a89a995, 0xec3cea1c, 0x91ae10e8, 0xf721bb5d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb0798527, 0x44c27bfb, 0xf62d9498, 0xcf819def, 0xfeacd8c0, 0x8d05b48b, 0x7b41305d, 0xb1418827), SECP256K1_FE_CONST(0xa443b0a6, 0x1bad33a0, 0xdd566ebb, 0x4ef31767, 0x6576566a, 0x13c315e3, 0x6e51ef16, 0x08de40d2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xf455605b, 0xc85bf48e, 0x3a908c31, 0x023faf98, 0x381504c6, 0xc6d3aeb9, 0xede55f8d, 0xd528924d), SECP256K1_FE_CONST(0xd31fbcd5, 0xcdb798f6, 0xc00db669, 0x2f8fe896, 0x7fa9c79d, 0xd10958f4, 0xa194f013, 0x74905e99), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x0c00c571, 0x5b56fe63, 0x2d814ad8, 0xa77f8e66, 0x628ea47a, 0x6116834f, 0x8c1218f3, 0xa03cbd50), SECP256K1_FE_CONST(0xdf88e44f, 0xac84fa52, 0xdf4d59f4, 0x8819f18f, 0x6a8cd415, 0x1d162afa, 0xf773166f, 0x57c7ff46), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xf3ff3a8e, 0xa4a9019c, 0xd27eb527, 0x58807199, 0x9d715b85, 0x9ee97cb0, 0x73ede70b, 0x5fc33edf), SECP256K1_FE_CONST(0x20771bb0, 0x537b05ad, 0x20b2a60b, 0x77e60e70, 0x95732bea, 0xe2e9d505, 0x088ce98f, 0xa837fce9)}}, + {0xff, SECP256K1_FE_CONST(0xf58cd4d9, 0x830bad32, 0x2699035e, 0x8246007d, 0x4be27e19, 0xb6f53621, 0x317b4f30, 0x9b3daa9d), SECP256K1_FE_CONST(0x78ec2b3d, 0xc0948de5, 0x60148bbc, 0x7c6dc963, 0x3ad5df70, 0xa5a5750c, 0xbed72180, 0x4f082a3b), {SECP256K1_FE_CONST(0x6c4c580b, 0x76c75940, 0x43569f9d, 0xae16dc28, 0x01c16a1f, 0xbe128608, 0x81b75f8e, 0xf929bce5), SECP256K1_FE_CONST(0x94231355, 0xe7385c5f, 0x25ca436a, 0xa6419147, 0x1aea4393, 0xd6e86ab7, 0xa35fe2af, 0xacaefd0d), SECP256K1_FE_CONST(0xdff2a195, 0x1ada6db5, 0x74df8340, 0x48149da3, 0x397a75b8, 0x29abf58c, 0x7e69db1b, 0x41ac0989), SECP256K1_FE_CONST(0xa52b66d3, 0xc9070355, 0x48028bf8, 0x04711bf4, 0x22aba95f, 0x1a666fc8, 0x6f4648e0, 0x5f29caae), SECP256K1_FE_CONST(0x93b3a7f4, 0x8938a6bf, 0xbca96062, 0x51e923d7, 0xfe3e95e0, 0x41ed79f7, 0x7e48a070, 0x06d63f4a), SECP256K1_FE_CONST(0x6bdcecaa, 0x18c7a3a0, 0xda35bc95, 0x59be6eb8, 0xe515bc6c, 0x29179548, 0x5ca01d4f, 0x5350ff22), SECP256K1_FE_CONST(0x200d5e6a, 0xe525924a, 0x8b207cbf, 0xb7eb625c, 0xc6858a47, 0xd6540a73, 0x819624e3, 0xbe53f2a6), SECP256K1_FE_CONST(0x5ad4992c, 0x36f8fcaa, 0xb7fd7407, 0xfb8ee40b, 0xdd5456a0, 0xe5999037, 0x90b9b71e, 0xa0d63181)}}, + {0x00, SECP256K1_FE_CONST(0xfd7d912a, 0x40f182a3, 0x588800d6, 0x9ebfb504, 0x8766da20, 0x6fd7ebc8, 0xd2436c81, 0xcbef6421), SECP256K1_FE_CONST(0x8d37c862, 0x054debe7, 0x31694536, 0xff46b273, 0xec122b35, 0xa9bf1445, 0xac3c4ff9, 0xf262c952), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, +}; + +/* Set of (encoding, xcoord) test vectors, selected to maximize branch coverage, part of the BIP324 + * test vectors. Created using an independent implementation, and tested decoding against the paper + * authors' code. */ +static const struct ellswift_decode_test ellswift_decode_tests[] = { + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xbd, 0xe7, 0x0d, 0xf5, 0x19, 0x39, 0xb9, 0x4c, 0x9c, 0x24, 0x97, 0x9f, 0xa7, 0xdd, 0x04, 0xeb, 0xd9, 0xb3, 0x57, 0x2d, 0xa7, 0x80, 0x22, 0x90, 0x43, 0x8a, 0xf2, 0xa6, 0x81, 0x89, 0x54, 0x41}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 1}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0}, + {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0}, + {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0}, + {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x74e880b3, 0xffd18fe3, 0xcddf7902, 0x522551dd, 0xf97fa4a3, 0x5a3cfda8, 0x197f9470, 0x81a57b8f), 0}, + {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x377b643f, 0xce2271f6, 0x4e5c8101, 0x566107c1, 0xbe498074, 0x50917838, 0x04f65478, 0x1ac9217c), 1}, + {{0x12, 0x36, 0x58, 0x44, 0x4f, 0x32, 0xbe, 0x8f, 0x02, 0xea, 0x20, 0x34, 0xaf, 0xa7, 0xef, 0x4b, 0xbe, 0x8a, 0xdc, 0x91, 0x8c, 0xeb, 0x49, 0xb1, 0x27, 0x73, 0xb6, 0x25, 0xf4, 0x90, 0xb3, 0x68, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8d, 0xc5, 0xfe, 0x11}, SECP256K1_FE_CONST(0xed16d65c, 0xf3a9538f, 0xcb2c139f, 0x1ecbc143, 0xee148271, 0x20cbc265, 0x9e667256, 0x800b8142), 0}, + {{0x14, 0x6f, 0x92, 0x46, 0x4d, 0x15, 0xd3, 0x6e, 0x35, 0x38, 0x2b, 0xd3, 0xca, 0x5b, 0x0f, 0x97, 0x6c, 0x95, 0xcb, 0x08, 0xac, 0xdc, 0xf2, 0xd5, 0xb3, 0x57, 0x06, 0x17, 0x99, 0x08, 0x39, 0xd7, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x31, 0x45, 0xe9, 0x3b}, SECP256K1_FE_CONST(0x0d5cd840, 0x427f941f, 0x65193079, 0xab8e2e83, 0x024ef2ee, 0x7ca558d8, 0x8879ffd8, 0x79fb6657), 0}, + {{0x15, 0xfd, 0xf5, 0xcf, 0x09, 0xc9, 0x07, 0x59, 0xad, 0xd2, 0x27, 0x2d, 0x57, 0x4d, 0x2b, 0xb5, 0xfe, 0x14, 0x29, 0xf9, 0xf3, 0xc1, 0x4c, 0x65, 0xe3, 0x19, 0x4b, 0xf6, 0x1b, 0x82, 0xaa, 0x73, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x04, 0xcf, 0xd9, 0x06}, SECP256K1_FE_CONST(0x16d0e439, 0x46aec93f, 0x62d57eb8, 0xcde68951, 0xaf136cf4, 0xb307938d, 0xd1447411, 0xe07bffe1), 1}, + {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0}, + {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0}, + {{0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x98bec3b2, 0xa351fa96, 0xcfd191c1, 0x77835193, 0x1b9e9ba9, 0xad1149f6, 0xd9eadca8, 0x0981b801), 0}, + {{0x40, 0x56, 0xa3, 0x4a, 0x21, 0x0e, 0xec, 0x78, 0x92, 0xe8, 0x82, 0x06, 0x75, 0xc8, 0x60, 0x09, 0x9f, 0x85, 0x7b, 0x26, 0xaa, 0xd8, 0x54, 0x70, 0xee, 0x6d, 0x3c, 0xf1, 0x30, 0x4a, 0x9d, 0xcf, 0x37, 0x5e, 0x70, 0x37, 0x42, 0x71, 0xf2, 0x0b, 0x13, 0xc9, 0x98, 0x6e, 0xd7, 0xd3, 0xc1, 0x77, 0x99, 0x69, 0x8c, 0xfc, 0x43, 0x5d, 0xbe, 0xd3, 0xa9, 0xf3, 0x4b, 0x38, 0xc8, 0x23, 0xc2, 0xb4}, SECP256K1_FE_CONST(0x868aac20, 0x03b29dbc, 0xad1a3e80, 0x3855e078, 0xa89d1654, 0x3ac64392, 0xd1224172, 0x98cec76e), 0}, + {{0x41, 0x97, 0xec, 0x37, 0x23, 0xc6, 0x54, 0xcf, 0xdd, 0x32, 0xab, 0x07, 0x55, 0x06, 0x64, 0x8b, 0x2f, 0xf5, 0x07, 0x03, 0x62, 0xd0, 0x1a, 0x4f, 0xff, 0x14, 0xb3, 0x36, 0xb7, 0x8f, 0x96, 0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb3, 0xab, 0x1e, 0x95}, SECP256K1_FE_CONST(0xba5a6314, 0x502a8952, 0xb8f456e0, 0x85928105, 0xf665377a, 0x8ce27726, 0xa5b0eb7e, 0xc1ac0286), 0}, + {{0x47, 0xeb, 0x3e, 0x20, 0x8f, 0xed, 0xcd, 0xf8, 0x23, 0x4c, 0x94, 0x21, 0xe9, 0xcd, 0x9a, 0x7a, 0xe8, 0x73, 0xbf, 0xbd, 0xbc, 0x39, 0x37, 0x23, 0xd1, 0xba, 0x1e, 0x1e, 0x6a, 0x8e, 0x6b, 0x24, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7c, 0xd1, 0x2c, 0xb1}, SECP256K1_FE_CONST(0xd192d520, 0x07e541c9, 0x807006ed, 0x0468df77, 0xfd214af0, 0xa795fe11, 0x9359666f, 0xdcf08f7c), 0}, + {{0x5e, 0xb9, 0x69, 0x6a, 0x23, 0x36, 0xfe, 0x2c, 0x3c, 0x66, 0x6b, 0x02, 0xc7, 0x55, 0xdb, 0x4c, 0x0c, 0xfd, 0x62, 0x82, 0x5c, 0x7b, 0x58, 0x9a, 0x7b, 0x7b, 0xb4, 0x42, 0xe1, 0x41, 0xc1, 0xd6, 0x93, 0x41, 0x3f, 0x00, 0x52, 0xd4, 0x9e, 0x64, 0xab, 0xec, 0x6d, 0x58, 0x31, 0xd6, 0x6c, 0x43, 0x61, 0x28, 0x30, 0xa1, 0x7d, 0xf1, 0xfe, 0x43, 0x83, 0xdb, 0x89, 0x64, 0x68, 0x10, 0x02, 0x21}, SECP256K1_FE_CONST(0xef6e1da6, 0xd6c7627e, 0x80f7a723, 0x4cb08a02, 0x2c1ee1cf, 0x29e4d0f9, 0x642ae924, 0xcef9eb38), 1}, + {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0}, + {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0}, + {{0x85, 0x1b, 0x1c, 0xa9, 0x45, 0x49, 0x37, 0x1c, 0x4f, 0x1f, 0x71, 0x87, 0x32, 0x1d, 0x39, 0xbf, 0x51, 0xc6, 0xb7, 0xfb, 0x61, 0xf7, 0xcb, 0xf0, 0x27, 0xc9, 0xda, 0x62, 0x02, 0x1b, 0x7a, 0x65, 0xfc, 0x54, 0xc9, 0x68, 0x37, 0xfb, 0x22, 0xb3, 0x62, 0xed, 0xa6, 0x3e, 0xc5, 0x2e, 0xc8, 0x3d, 0x81, 0xbe, 0xdd, 0x16, 0x0c, 0x11, 0xb2, 0x2d, 0x96, 0x5d, 0x9f, 0x4a, 0x6d, 0x64, 0xd2, 0x51}, SECP256K1_FE_CONST(0x3e731051, 0xe12d3323, 0x7eb324f2, 0xaa5b16bb, 0x868eb49a, 0x1aa1fadc, 0x19b6e876, 0x1b5a5f7b), 1}, + {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0}, + {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0}, + {{0xa0, 0xf1, 0x84, 0x92, 0x18, 0x3e, 0x61, 0xe8, 0x06, 0x3e, 0x57, 0x36, 0x06, 0x59, 0x14, 0x21, 0xb0, 0x6b, 0xc3, 0x51, 0x36, 0x31, 0x57, 0x8a, 0x73, 0xa3, 0x9c, 0x1c, 0x33, 0x06, 0x23, 0x9f, 0x2f, 0x32, 0x90, 0x4f, 0x0d, 0x2a, 0x33, 0xec, 0xca, 0x8a, 0x54, 0x51, 0x70, 0x5b, 0xb5, 0x37, 0xd3, 0xbf, 0x44, 0xe0, 0x71, 0x22, 0x60, 0x25, 0xcd, 0xbf, 0xd2, 0x49, 0xfe, 0x0f, 0x7a, 0xd6}, SECP256K1_FE_CONST(0x97a09cf1, 0xa2eae7c4, 0x94df3c6f, 0x8a9445bf, 0xb8c09d60, 0x832f9b0b, 0x9d5eabe2, 0x5fbd14b9), 0}, + {{0xa1, 0xed, 0x0a, 0x0b, 0xd7, 0x9d, 0x8a, 0x23, 0xcf, 0xe4, 0xec, 0x5f, 0xef, 0x5b, 0xa5, 0xcc, 0xcf, 0xd8, 0x44, 0xe4, 0xff, 0x5c, 0xb4, 0xb0, 0xf2, 0xe7, 0x16, 0x27, 0x34, 0x1f, 0x1c, 0x5b, 0x17, 0xc4, 0x99, 0x24, 0x9e, 0x0a, 0xc0, 0x8d, 0x5d, 0x11, 0xea, 0x1c, 0x2c, 0x8c, 0xa7, 0x00, 0x16, 0x16, 0x55, 0x9a, 0x79, 0x94, 0xea, 0xde, 0xc9, 0xca, 0x10, 0xfb, 0x4b, 0x85, 0x16, 0xdc}, SECP256K1_FE_CONST(0x65a89640, 0x744192cd, 0xac64b2d2, 0x1ddf989c, 0xdac75007, 0x25b645be, 0xf8e2200a, 0xe39691f2), 0}, + {{0xba, 0x94, 0x59, 0x4a, 0x43, 0x27, 0x21, 0xaa, 0x35, 0x80, 0xb8, 0x4c, 0x16, 0x1d, 0x0d, 0x13, 0x4b, 0xc3, 0x54, 0xb6, 0x90, 0x40, 0x4d, 0x7c, 0xd4, 0xec, 0x57, 0xc1, 0x6d, 0x3f, 0xbe, 0x98, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xea, 0x50, 0x7d, 0xd7}, SECP256K1_FE_CONST(0x5e0d7656, 0x4aae92cb, 0x347e01a6, 0x2afd389a, 0x9aa401c7, 0x6c8dd227, 0x543dc9cd, 0x0efe685a), 0}, + {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x2d97f96c, 0xac882dfe, 0x73dc44db, 0x6ce0f1d3, 0x1d624135, 0x8dd5d74e, 0xb3d3b500, 0x03d24c2b), 0}, + {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x65, 0x07, 0xd0, 0x9a}, SECP256K1_FE_CONST(0xe7008afe, 0x6e8cbd50, 0x55df120b, 0xd748757c, 0x686dadb4, 0x1cce75e4, 0xaddcc5e0, 0x2ec02b44), 1}, + {{0xc5, 0x98, 0x1b, 0xae, 0x27, 0xfd, 0x84, 0x40, 0x1c, 0x72, 0xa1, 0x55, 0xe5, 0x70, 0x7f, 0xbb, 0x81, 0x1b, 0x2b, 0x62, 0x06, 0x45, 0xd1, 0x02, 0x8e, 0xa2, 0x70, 0xcb, 0xe0, 0xee, 0x22, 0x5d, 0x4b, 0x62, 0xaa, 0x4d, 0xca, 0x65, 0x06, 0xc1, 0xac, 0xdb, 0xec, 0xc0, 0x55, 0x25, 0x69, 0xb4, 0xb2, 0x14, 0x36, 0xa5, 0x69, 0x2e, 0x25, 0xd9, 0x0d, 0x3b, 0xc2, 0xeb, 0x7c, 0xe2, 0x40, 0x78}, SECP256K1_FE_CONST(0x948b40e7, 0x181713bc, 0x018ec170, 0x2d3d054d, 0x15746c59, 0xa7020730, 0xdd13ecf9, 0x85a010d7), 0}, + {{0xc8, 0x94, 0xce, 0x48, 0xbf, 0xec, 0x43, 0x30, 0x14, 0xb9, 0x31, 0xa6, 0xad, 0x42, 0x26, 0xd7, 0xdb, 0xd8, 0xea, 0xa7, 0xb6, 0xe3, 0xfa, 0xa8, 0xd0, 0xef, 0x94, 0x05, 0x2b, 0xcf, 0x8c, 0xff, 0x33, 0x6e, 0xeb, 0x39, 0x19, 0xe2, 0xb4, 0xef, 0xb7, 0x46, 0xc7, 0xf7, 0x1b, 0xbc, 0xa7, 0xe9, 0x38, 0x32, 0x30, 0xfb, 0xbc, 0x48, 0xff, 0xaf, 0xe7, 0x7e, 0x8b, 0xcc, 0x69, 0x54, 0x24, 0x71}, SECP256K1_FE_CONST(0xf1c91acd, 0xc2525330, 0xf9b53158, 0x434a4d43, 0xa1c547cf, 0xf29f1550, 0x6f5da4eb, 0x4fe8fa5a), 1}, + {{0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x872d81ed, 0x8831d999, 0x8b67cb71, 0x05243edb, 0xf86c10ed, 0xfebb786c, 0x110b02d0, 0x7b2e67cd), 0}, + {{0xd9, 0x17, 0xb7, 0x86, 0xda, 0xc3, 0x56, 0x70, 0xc3, 0x30, 0xc9, 0xc5, 0xae, 0x59, 0x71, 0xdf, 0xb4, 0x95, 0xc8, 0xae, 0x52, 0x3e, 0xd9, 0x7e, 0xe2, 0x42, 0x01, 0x17, 0xb1, 0x71, 0xf4, 0x1e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x20, 0x01, 0xf6, 0xf6}, SECP256K1_FE_CONST(0xe45b71e1, 0x10b831f2, 0xbdad8651, 0x994526e5, 0x8393fde4, 0x328b1ec0, 0x4d598971, 0x42584691), 1}, + {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0}, + {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0}, + {{0xe7, 0xee, 0x58, 0x14, 0xc1, 0x70, 0x6b, 0xf8, 0xa8, 0x93, 0x96, 0xa9, 0xb0, 0x32, 0xbc, 0x01, 0x4c, 0x2c, 0xac, 0x9c, 0x12, 0x11, 0x27, 0xdb, 0xf6, 0xc9, 0x92, 0x78, 0xf8, 0xbb, 0x53, 0xd1, 0xdf, 0xd0, 0x4d, 0xbc, 0xda, 0x8e, 0x35, 0x24, 0x66, 0xb6, 0xfc, 0xd5, 0xf2, 0xde, 0xa3, 0xe1, 0x7d, 0x5e, 0x13, 0x31, 0x15, 0x88, 0x6e, 0xda, 0x20, 0xdb, 0x8a, 0x12, 0xb5, 0x4d, 0xe7, 0x1b}, SECP256K1_FE_CONST(0xe842c6e3, 0x529b2342, 0x70a5e977, 0x44edc34a, 0x04d7ba94, 0xe44b6d25, 0x23c9cf01, 0x95730a50), 1}, + {{0xf2, 0x92, 0xe4, 0x68, 0x25, 0xf9, 0x22, 0x5a, 0xd2, 0x3d, 0xc0, 0x57, 0xc1, 0xd9, 0x1c, 0x4f, 0x57, 0xfc, 0xb1, 0x38, 0x6f, 0x29, 0xef, 0x10, 0x48, 0x1c, 0xb1, 0xd2, 0x25, 0x18, 0x59, 0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x11, 0xc9, 0x89}, SECP256K1_FE_CONST(0x3cea2c53, 0xb8b01701, 0x66ac7da6, 0x7194694a, 0xdacc84d5, 0x6389225e, 0x330134da, 0xb85a4d55), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x13, 0xce, 0xa4, 0xa7, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x13, 0xce, 0xa4, 0xa7, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x02, 0x8c, 0x59, 0x00, 0x63, 0xf6, 0x4d, 0x5a, 0x7f, 0x1c, 0x14, 0x91, 0x5c, 0xd6, 0x1e, 0xac, 0x88, 0x6a, 0xb2, 0x95, 0xbe, 0xbd, 0x91, 0x99, 0x25, 0x04, 0xcf, 0x77, 0xed, 0xb0, 0x28, 0xbd, 0xd6, 0x26, 0x7f}, SECP256K1_FE_CONST(0x3fde5713, 0xf8282eea, 0xd7d39d42, 0x01f44a7c, 0x85a5ac8a, 0x0681f35e, 0x54085c6b, 0x69543374), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x27, 0x15, 0xde, 0x86, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x27, 0x15, 0xde, 0x86, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x2c, 0x2c, 0x57, 0x09, 0xe7, 0x15, 0x6c, 0x41, 0x77, 0x17, 0xf2, 0xfe, 0xab, 0x14, 0x71, 0x41, 0xec, 0x3d, 0xa1, 0x9f, 0xb7, 0x59, 0x57, 0x5c, 0xc6, 0xe3, 0x7b, 0x2e, 0xa5, 0xac, 0x93, 0x09, 0xf2, 0x6f, 0x0f, 0x66}, SECP256K1_FE_CONST(0xd2469ab3, 0xe04acbb2, 0x1c65a180, 0x9f39caaf, 0xe7a77c13, 0xd10f9dd3, 0x8f391c01, 0xdc499c52), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3a, 0x08, 0xcc, 0x1e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf7, 0x60, 0xe9, 0xf0}, SECP256K1_FE_CONST(0x38e2a5ce, 0x6a93e795, 0xe16d2c39, 0x8bc99f03, 0x69202ce2, 0x1e8f09d5, 0x6777b40f, 0xc512bccc), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3e, 0x91, 0x25, 0x7d, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x864b3dc9, 0x02c37670, 0x9c10a93a, 0xd4bbe29f, 0xce0012f3, 0xdc8672c6, 0x286bba28, 0xd7d6d6fc), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x79, 0x5d, 0x6c, 0x1c, 0x32, 0x2c, 0xad, 0xf5, 0x99, 0xdb, 0xb8, 0x64, 0x81, 0x52, 0x2b, 0x3c, 0xc5, 0x5f, 0x15, 0xa6, 0x79, 0x32, 0xdb, 0x2a, 0xfa, 0x01, 0x11, 0xd9, 0xed, 0x69, 0x81, 0xbc, 0xd1, 0x24, 0xbf, 0x44}, SECP256K1_FE_CONST(0x766dfe4a, 0x700d9bee, 0x288b903a, 0xd58870e3, 0xd4fe2f0e, 0xf780bcac, 0x5c823f32, 0x0d9a9bef), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8e, 0x42, 0x6f, 0x03, 0x92, 0x38, 0x90, 0x78, 0xc1, 0x2b, 0x1a, 0x89, 0xe9, 0x54, 0x2f, 0x05, 0x93, 0xbc, 0x96, 0xb6, 0xbf, 0xde, 0x82, 0x24, 0xf8, 0x65, 0x4e, 0xf5, 0xd5, 0xcd, 0xa9, 0x35, 0xa3, 0x58, 0x21, 0x94}, SECP256K1_FE_CONST(0xfaec7bc1, 0x987b6323, 0x3fbc5f95, 0x6edbf37d, 0x54404e74, 0x61c58ab8, 0x631bc68e, 0x451a0478), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x91, 0x19, 0x21, 0x39, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x45, 0xf0, 0xf1, 0xeb}, SECP256K1_FE_CONST(0xec29a50b, 0xae138dbf, 0x7d8e2482, 0x5006bb5f, 0xc1a2cc12, 0x43ba335b, 0xc6116fb9, 0xe498ec1f), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x98, 0xeb, 0x9a, 0xb7, 0x6e, 0x84, 0x49, 0x9c, 0x48, 0x3b, 0x3b, 0xf0, 0x62, 0x14, 0xab, 0xfe, 0x06, 0x5d, 0xdd, 0xf4, 0x3b, 0x86, 0x01, 0xde, 0x59, 0x6d, 0x63, 0xb9, 0xe4, 0x5a, 0x16, 0x6a, 0x58, 0x05, 0x41, 0xfe}, SECP256K1_FE_CONST(0x1e0ff2de, 0xe9b09b13, 0x6292a9e9, 0x10f0d6ac, 0x3e552a64, 0x4bba39e6, 0x4e9dd3e3, 0xbbd3d4d4), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x9b, 0x77, 0xb7, 0xf2, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x8b7dd5c3, 0xedba9ee9, 0x7b70eff4, 0x38f22dca, 0x9849c825, 0x4a2f3345, 0xa0a572ff, 0xeaae0928), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x9b, 0x77, 0xb7, 0xf2, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x0881950c, 0x8f51d6b9, 0xa6387465, 0xd5f12609, 0xef1bb254, 0x12a08a74, 0xcb2dfb20, 0x0c74bfbf), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa2, 0xf5, 0xcd, 0x83, 0x88, 0x16, 0xc1, 0x6c, 0x4f, 0xe8, 0xa1, 0x66, 0x1d, 0x60, 0x6f, 0xdb, 0x13, 0xcf, 0x9a, 0xf0, 0x4b, 0x97, 0x9a, 0x2e, 0x15, 0x9a, 0x09, 0x40, 0x9e, 0xbc, 0x86, 0x45, 0xd5, 0x8f, 0xde, 0x02}, SECP256K1_FE_CONST(0x2f083207, 0xb9fd9b55, 0x0063c31c, 0xd62b8746, 0xbd543bdc, 0x5bbf10e3, 0xa35563e9, 0x27f440c8), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb1, 0x3f, 0x75, 0xc0, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb1, 0x3f, 0x75, 0xc0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe7, 0xbc, 0x1f, 0x8d, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe7, 0xbc, 0x1f, 0x8d, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xef, 0x64, 0xd1, 0x62, 0x75, 0x05, 0x46, 0xce, 0x42, 0xb0, 0x43, 0x13, 0x61, 0xe5, 0x2d, 0x4f, 0x52, 0x42, 0xd8, 0xf2, 0x4f, 0x33, 0xe6, 0xb1, 0xf9, 0x9b, 0x59, 0x16, 0x47, 0xcb, 0xc8, 0x08, 0xf4, 0x62, 0xaf, 0x51}, SECP256K1_FE_CONST(0xd41244d1, 0x1ca4f652, 0x40687759, 0xf95ca9ef, 0xbab767ed, 0xedb38fd1, 0x8c36e18c, 0xd3b6f6a9), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf0, 0xe5, 0xbe, 0x52, 0x37, 0x2d, 0xd6, 0xe8, 0x94, 0xb2, 0xa3, 0x26, 0xfc, 0x36, 0x05, 0xa6, 0xe8, 0xf3, 0xc6, 0x9c, 0x71, 0x0b, 0xf2, 0x7d, 0x63, 0x0d, 0xfe, 0x20, 0x04, 0x98, 0x8b, 0x78, 0xeb, 0x6e, 0xab, 0x36}, SECP256K1_FE_CONST(0x64bf84dd, 0x5e03670f, 0xdb24c0f5, 0xd3c2c365, 0x736f51db, 0x6c92d950, 0x10716ad2, 0xd36134c8), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xfb, 0xb9, 0x82, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf6, 0xd6, 0xdb, 0x1f}, SECP256K1_FE_CONST(0x1c92ccdf, 0xcf4ac550, 0xc28db57c, 0xff0c8515, 0xcb26936c, 0x786584a7, 0x0114008d, 0x6c33a34b), 0}, +}; + +/* Set of expected ellswift_xdh BIP324 shared secrets, given private key, encodings, initiating, + * taken from the BIP324 test vectors. Created using an independent implementation, and tested + * against the paper authors' decoding code. */ +static const struct ellswift_xdh_test ellswift_xdh_tests_bip324[] = { + {{0x61, 0x06, 0x2e, 0xa5, 0x07, 0x1d, 0x80, 0x0b, 0xbf, 0xd5, 0x9e, 0x2e, 0x8b, 0x53, 0xd4, 0x7d, 0x19, 0x4b, 0x09, 0x5a, 0xe5, 0xa4, 0xdf, 0x04, 0x93, 0x6b, 0x49, 0x77, 0x2e, 0xf0, 0xd4, 0xd7}, {0xec, 0x0a, 0xdf, 0xf2, 0x57, 0xbb, 0xfe, 0x50, 0x0c, 0x18, 0x8c, 0x80, 0xb4, 0xfd, 0xd6, 0x40, 0xf6, 0xb4, 0x5a, 0x48, 0x2b, 0xbc, 0x15, 0xfc, 0x7c, 0xef, 0x59, 0x31, 0xde, 0xff, 0x0a, 0xa1, 0x86, 0xf6, 0xeb, 0x9b, 0xba, 0x7b, 0x85, 0xdc, 0x4d, 0xcc, 0x28, 0xb2, 0x87, 0x22, 0xde, 0x1e, 0x3d, 0x91, 0x08, 0xb9, 0x85, 0xe2, 0x96, 0x70, 0x45, 0x66, 0x8f, 0x66, 0x09, 0x8e, 0x47, 0x5b}, {0xa4, 0xa9, 0x4d, 0xfc, 0xe6, 0x9b, 0x4a, 0x2a, 0x0a, 0x09, 0x93, 0x13, 0xd1, 0x0f, 0x9f, 0x7e, 0x7d, 0x64, 0x9d, 0x60, 0x50, 0x1c, 0x9e, 0x1d, 0x27, 0x4c, 0x30, 0x0e, 0x0d, 0x89, 0xaa, 0xfa, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8f, 0xaf, 0x88, 0xd5}, 1, {0xc6, 0x99, 0x2a, 0x11, 0x7f, 0x5e, 0xdb, 0xea, 0x70, 0xc3, 0xf5, 0x11, 0xd3, 0x2d, 0x26, 0xb9, 0x79, 0x8b, 0xe4, 0xb8, 0x1a, 0x62, 0xea, 0xee, 0x1a, 0x5a, 0xca, 0xa8, 0x45, 0x9a, 0x35, 0x92}}, + {{0x1f, 0x9c, 0x58, 0x1b, 0x35, 0x23, 0x18, 0x38, 0xf0, 0xf1, 0x7c, 0xf0, 0xc9, 0x79, 0x83, 0x5b, 0xac, 0xcb, 0x7f, 0x3a, 0xbb, 0xbb, 0x96, 0xff, 0xcc, 0x31, 0x8a, 0xb7, 0x1e, 0x6e, 0x12, 0x6f}, {0xa1, 0x85, 0x5e, 0x10, 0xe9, 0x4e, 0x00, 0xba, 0xa2, 0x30, 0x41, 0xd9, 0x16, 0xe2, 0x59, 0xf7, 0x04, 0x4e, 0x49, 0x1d, 0xa6, 0x17, 0x12, 0x69, 0x69, 0x47, 0x63, 0xf0, 0x18, 0xc7, 0xe6, 0x36, 0x93, 0xd2, 0x95, 0x75, 0xdc, 0xb4, 0x64, 0xac, 0x81, 0x6b, 0xaa, 0x1b, 0xe3, 0x53, 0xba, 0x12, 0xe3, 0x87, 0x6c, 0xba, 0x76, 0x28, 0xbd, 0x0b, 0xd8, 0xe7, 0x55, 0xe7, 0x21, 0xeb, 0x01, 0x40}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, 0, {0xa0, 0x13, 0x8f, 0x56, 0x4f, 0x74, 0xd0, 0xad, 0x70, 0xbc, 0x33, 0x7d, 0xac, 0xc9, 0xd0, 0xbf, 0x1d, 0x23, 0x49, 0x36, 0x4c, 0xaf, 0x11, 0x88, 0xa1, 0xe6, 0xe8, 0xdd, 0xb3, 0xb7, 0xb1, 0x84}}, + {{0x02, 0x86, 0xc4, 0x1c, 0xd3, 0x09, 0x13, 0xdb, 0x0f, 0xdf, 0xf7, 0xa6, 0x4e, 0xbd, 0xa5, 0xc8, 0xe3, 0xe7, 0xce, 0xf1, 0x0f, 0x2a, 0xeb, 0xc0, 0x0a, 0x76, 0x50, 0x44, 0x3c, 0xf4, 0xc6, 0x0d}, {0xd1, 0xee, 0x8a, 0x93, 0xa0, 0x11, 0x30, 0xcb, 0xf2, 0x99, 0x24, 0x9a, 0x25, 0x8f, 0x94, 0xfe, 0xb5, 0xf4, 0x69, 0xe7, 0xd0, 0xf2, 0xf2, 0x8f, 0x69, 0xee, 0x5e, 0x9a, 0xa8, 0xf9, 0xb5, 0x4a, 0x60, 0xf2, 0xc3, 0xff, 0x2d, 0x02, 0x36, 0x34, 0xec, 0x7f, 0x41, 0x27, 0xa9, 0x6c, 0xc1, 0x16, 0x62, 0xe4, 0x02, 0x89, 0x4c, 0xf1, 0xf6, 0x94, 0xfb, 0x9a, 0x7e, 0xaa, 0x5f, 0x1d, 0x92, 0x44}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x22, 0xd5, 0xe4, 0x41, 0x52, 0x4d, 0x57, 0x1a, 0x52, 0xb3, 0xde, 0xf1, 0x26, 0x18, 0x9d, 0x3f, 0x41, 0x68, 0x90, 0xa9, 0x9d, 0x4d, 0xa6, 0xed, 0xe2, 0xb0, 0xcd, 0xe1, 0x76, 0x0c, 0xe2, 0xc3, 0xf9, 0x84, 0x57, 0xae}, 1, {0x25, 0x0b, 0x93, 0x57, 0x0d, 0x41, 0x11, 0x49, 0x10, 0x5a, 0xb8, 0xcb, 0x0b, 0xc5, 0x07, 0x99, 0x14, 0x90, 0x63, 0x06, 0x36, 0x8c, 0x23, 0xe9, 0xd7, 0x7c, 0x2a, 0x33, 0x26, 0x5b, 0x99, 0x4c}}, + {{0x6c, 0x77, 0x43, 0x2d, 0x1f, 0xda, 0x31, 0xe9, 0xf9, 0x42, 0xf8, 0xaf, 0x44, 0x60, 0x7e, 0x10, 0xf3, 0xad, 0x38, 0xa6, 0x5f, 0x8a, 0x4b, 0xdd, 0xae, 0x82, 0x3e, 0x5e, 0xff, 0x90, 0xdc, 0x38}, {0xd2, 0x68, 0x50, 0x70, 0xc1, 0xe6, 0x37, 0x6e, 0x63, 0x3e, 0x82, 0x52, 0x96, 0x63, 0x4f, 0xd4, 0x61, 0xfa, 0x9e, 0x5b, 0xdf, 0x21, 0x09, 0xbc, 0xeb, 0xd7, 0x35, 0xe5, 0xa9, 0x1f, 0x3e, 0x58, 0x7c, 0x5c, 0xb7, 0x82, 0xab, 0xb7, 0x97, 0xfb, 0xf6, 0xbb, 0x50, 0x74, 0xfd, 0x15, 0x42, 0xa4, 0x74, 0xf2, 0xa4, 0x5b, 0x67, 0x37, 0x63, 0xec, 0x2d, 0xb7, 0xfb, 0x99, 0xb7, 0x37, 0xbb, 0xb9}, {0x56, 0xbd, 0x0c, 0x06, 0xf1, 0x03, 0x52, 0xc3, 0xa1, 0xa9, 0xf4, 0xb4, 0xc9, 0x2f, 0x6f, 0xa2, 0xb2, 0x6d, 0xf1, 0x24, 0xb5, 0x78, 0x78, 0x35, 0x3c, 0x1f, 0xc6, 0x91, 0xc5, 0x1a, 0xbe, 0xa7, 0x7c, 0x88, 0x17, 0xda, 0xee, 0xb9, 0xfa, 0x54, 0x6b, 0x77, 0xc8, 0xda, 0xf7, 0x9d, 0x89, 0xb2, 0x2b, 0x0e, 0x1b, 0x87, 0x57, 0x4e, 0xce, 0x42, 0x37, 0x1f, 0x00, 0x23, 0x7a, 0xa9, 0xd8, 0x3a}, 0, {0x19, 0x18, 0xb7, 0x41, 0xef, 0x5f, 0x9d, 0x1d, 0x76, 0x70, 0xb0, 0x50, 0xc1, 0x52, 0xb4, 0xa4, 0xea, 0xd2, 0xc3, 0x1b, 0xe9, 0xae, 0xcb, 0x06, 0x81, 0xc0, 0xcd, 0x43, 0x24, 0x15, 0x08, 0x53}}, + {{0xa6, 0xec, 0x25, 0x12, 0x7c, 0xa1, 0xaa, 0x4c, 0xf1, 0x6b, 0x20, 0x08, 0x4b, 0xa1, 0xe6, 0x51, 0x6b, 0xaa, 0xe4, 0xd3, 0x24, 0x22, 0x28, 0x8e, 0x9b, 0x36, 0xd8, 0xbd, 0xdd, 0x2d, 0xe3, 0x5a}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x05, 0x3d, 0x7e, 0xcc, 0xa5, 0x3e, 0x33, 0xe1, 0x85, 0xa8, 0xb9, 0xbe, 0x4e, 0x76, 0x99, 0xa9, 0x7c, 0x6f, 0xf4, 0xc7, 0x95, 0x52, 0x2e, 0x59, 0x18, 0xab, 0x7c, 0xd6, 0xb6, 0x88, 0x4f, 0x67, 0xe6, 0x83, 0xf3, 0xdc}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa7, 0x73, 0x0b, 0xe3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, 1, {0xdd, 0x21, 0x0a, 0xa6, 0x62, 0x9f, 0x20, 0xbb, 0x32, 0x8e, 0x5d, 0x89, 0xda, 0xa6, 0xeb, 0x2a, 0xc3, 0xd1, 0xc6, 0x58, 0xa7, 0x25, 0x53, 0x6f, 0xf1, 0x54, 0xf3, 0x1b, 0x53, 0x6c, 0x23, 0xb2}}, + {{0x0a, 0xf9, 0x52, 0x65, 0x9e, 0xd7, 0x6f, 0x80, 0xf5, 0x85, 0x96, 0x6b, 0x95, 0xab, 0x6e, 0x6f, 0xd6, 0x86, 0x54, 0x67, 0x28, 0x27, 0x87, 0x86, 0x84, 0xc8, 0xb5, 0x47, 0xb1, 0xb9, 0x4f, 0x5a}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc8, 0x10, 0x17, 0xfd, 0x92, 0xfd, 0x31, 0x63, 0x7c, 0x26, 0xc9, 0x06, 0xb4, 0x20, 0x92, 0xe1, 0x1c, 0xc0, 0xd3, 0xaf, 0xae, 0x8d, 0x90, 0x19, 0xd2, 0x57, 0x8a, 0xf2, 0x27, 0x35, 0xce, 0x7b, 0xc4, 0x69, 0xc7, 0x2d}, {0x96, 0x52, 0xd7, 0x8b, 0xae, 0xfc, 0x02, 0x8c, 0xd3, 0x7a, 0x6a, 0x92, 0x62, 0x5b, 0x8b, 0x8f, 0x85, 0xfd, 0xe1, 0xe4, 0xc9, 0x44, 0xad, 0x3f, 0x20, 0xe1, 0x98, 0xbe, 0xf8, 0xc0, 0x2f, 0x19, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf2, 0xe9, 0x18, 0x70}, 0, {0x35, 0x68, 0xf2, 0xae, 0xa2, 0xe1, 0x4e, 0xf4, 0xee, 0x4a, 0x3c, 0x2a, 0x8b, 0x8d, 0x31, 0xbc, 0x5e, 0x31, 0x87, 0xba, 0x86, 0xdb, 0x10, 0x73, 0x9b, 0x4f, 0xf8, 0xec, 0x92, 0xff, 0x66, 0x55}}, + {{0xf9, 0x0e, 0x08, 0x0c, 0x64, 0xb0, 0x58, 0x24, 0xc5, 0xa2, 0x4b, 0x25, 0x01, 0xd5, 0xae, 0xaf, 0x08, 0xaf, 0x38, 0x72, 0xee, 0x86, 0x0a, 0xa8, 0x0b, 0xdc, 0xd4, 0x30, 0xf7, 0xb6, 0x34, 0x94}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x11, 0x51, 0x73, 0x76, 0x5d, 0xc2, 0x02, 0xcf, 0x02, 0x9a, 0xd3, 0xf1, 0x54, 0x79, 0x73, 0x5d, 0x57, 0x69, 0x7a, 0xf1, 0x2b, 0x01, 0x31, 0xdd, 0x21, 0x43, 0x0d, 0x57, 0x72, 0xe4, 0xef, 0x11, 0x47, 0x4d, 0x58, 0xb9}, {0x12, 0xa5, 0x0f, 0x3f, 0xaf, 0xea, 0x7c, 0x1e, 0xea, 0xda, 0x4c, 0xf8, 0xd3, 0x37, 0x77, 0x70, 0x4b, 0x77, 0x36, 0x14, 0x53, 0xaf, 0xc8, 0x3b, 0xda, 0x91, 0xee, 0xf3, 0x49, 0xae, 0x04, 0x4d, 0x20, 0x12, 0x6c, 0x62, 0x00, 0x54, 0x7e, 0xa5, 0xa6, 0x91, 0x17, 0x76, 0xc0, 0x5d, 0xee, 0x2a, 0x7f, 0x1a, 0x9b, 0xa7, 0xdf, 0xba, 0xbb, 0xbd, 0x27, 0x3c, 0x3e, 0xf2, 0x9e, 0xf4, 0x6e, 0x46}, 1, {0xe2, 0x54, 0x61, 0xfb, 0x0e, 0x4c, 0x16, 0x2e, 0x18, 0x12, 0x3e, 0xcd, 0xe8, 0x83, 0x42, 0xd5, 0x4d, 0x44, 0x96, 0x31, 0xe9, 0xb7, 0x5a, 0x26, 0x6f, 0xd9, 0x26, 0x0c, 0x2b, 0xb2, 0xf4, 0x1d}}, +}; + +/** This is a hasher for ellswift_xdh which just returns the shared X coordinate. + * + * This is generally a bad idea as it means changes to the encoding of the + * exchanged public keys do not affect the shared secret. However, it's used here + * in tests to be able to verify the X coordinate through other means. + */ +static int ellswift_xdh_hash_x32(unsigned char *output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) { + (void)ell_a64; + (void)ell_b64; + (void)data; + memcpy(output, x32, 32); + return 1; +} + +void run_ellswift_tests(void) { + int i = 0; + /* Test vectors. */ + for (i = 0; (unsigned)i < sizeof(ellswift_xswiftec_inv_tests) / sizeof(ellswift_xswiftec_inv_tests[0]); ++i) { + const struct ellswift_xswiftec_inv_test *testcase = &ellswift_xswiftec_inv_tests[i]; + int c; + for (c = 0; c < 8; ++c) { + secp256k1_fe t; + int ret = secp256k1_ellswift_xswiftec_inv_var(&t, &testcase->x, &testcase->u, c); + CHECK(ret == ((testcase->enc_bitmap >> c) & 1)); + if (ret) { + secp256k1_fe x2; + CHECK(fe_equal(&t, &testcase->encs[c])); + secp256k1_ellswift_xswiftec_var(&x2, &testcase->u, &testcase->encs[c]); + CHECK(fe_equal(&testcase->x, &x2)); + } + } + } + for (i = 0; (unsigned)i < sizeof(ellswift_decode_tests) / sizeof(ellswift_decode_tests[0]); ++i) { + const struct ellswift_decode_test *testcase = &ellswift_decode_tests[i]; + secp256k1_pubkey pubkey; + secp256k1_ge ge; + int ret; + ret = secp256k1_ellswift_decode(CTX, &pubkey, testcase->enc); + CHECK(ret); + ret = secp256k1_pubkey_load(CTX, &ge, &pubkey); + CHECK(ret); + CHECK(fe_equal(&testcase->x, &ge.x)); + CHECK(secp256k1_fe_is_odd(&ge.y) == testcase->odd_y); + } + for (i = 0; (unsigned)i < sizeof(ellswift_xdh_tests_bip324) / sizeof(ellswift_xdh_tests_bip324[0]); ++i) { + const struct ellswift_xdh_test *test = &ellswift_xdh_tests_bip324[i]; + unsigned char shared_secret[32]; + int ret; + int party = !test->initiating; + const unsigned char* ell_a64 = party ? test->ellswift_theirs : test->ellswift_ours; + const unsigned char* ell_b64 = party ? test->ellswift_ours : test->ellswift_theirs; + ret = secp256k1_ellswift_xdh(CTX, shared_secret, + ell_a64, ell_b64, + test->priv_ours, + party, + secp256k1_ellswift_xdh_hash_function_bip324, + NULL); + CHECK(ret); + CHECK(secp256k1_memcmp_var(shared_secret, test->shared_secret, 32) == 0); + } + /* Verify that secp256k1_ellswift_encode + decode roundtrips. */ + for (i = 0; i < 1000 * COUNT; i++) { + unsigned char rnd32[32]; + unsigned char ell64[64]; + secp256k1_ge g, g2; + secp256k1_pubkey pubkey, pubkey2; + /* Generate random public key and random randomizer. */ + testutil_random_ge_test(&g); + secp256k1_pubkey_save(&pubkey, &g); + testrand256(rnd32); + /* Convert the public key to ElligatorSwift and back. */ + secp256k1_ellswift_encode(CTX, ell64, &pubkey, rnd32); + secp256k1_ellswift_decode(CTX, &pubkey2, ell64); + secp256k1_pubkey_load(CTX, &g2, &pubkey2); + /* Compare with original. */ + CHECK(secp256k1_ge_eq_var(&g, &g2)); + } + /* Verify the behavior of secp256k1_ellswift_create */ + for (i = 0; i < 400 * COUNT; i++) { + unsigned char auxrnd32[32], sec32[32]; + secp256k1_scalar sec; + secp256k1_gej res; + secp256k1_ge dec; + secp256k1_pubkey pub; + unsigned char ell64[64]; + int ret; + /* Generate random secret key and random randomizer. */ + if (i & 1) testrand256_test(auxrnd32); + testutil_random_scalar_order_test(&sec); + secp256k1_scalar_get_b32(sec32, &sec); + /* Construct ElligatorSwift-encoded public keys for that key. */ + ret = secp256k1_ellswift_create(CTX, ell64, sec32, (i & 1) ? auxrnd32 : NULL); + CHECK(ret); + /* Decode it, and compare with traditionally-computed public key. */ + secp256k1_ellswift_decode(CTX, &pub, ell64); + secp256k1_pubkey_load(CTX, &dec, &pub); + secp256k1_ecmult(&res, NULL, &secp256k1_scalar_zero, &sec); + CHECK(secp256k1_gej_eq_ge_var(&res, &dec)); + } + /* Verify that secp256k1_ellswift_xdh computes the right shared X coordinate. */ + for (i = 0; i < 800 * COUNT; i++) { + unsigned char ell64[64], sec32[32], share32[32]; + secp256k1_scalar sec; + secp256k1_ge dec, res; + secp256k1_fe share_x; + secp256k1_gej decj, resj; + secp256k1_pubkey pub; + int ret; + /* Generate random secret key. */ + testutil_random_scalar_order_test(&sec); + secp256k1_scalar_get_b32(sec32, &sec); + /* Generate random ElligatorSwift encoding for the remote key and decode it. */ + testrand256_test(ell64); + testrand256_test(ell64 + 32); + secp256k1_ellswift_decode(CTX, &pub, ell64); + secp256k1_pubkey_load(CTX, &dec, &pub); + secp256k1_gej_set_ge(&decj, &dec); + /* Compute the X coordinate of seckey*pubkey using ellswift_xdh. Note that we + * pass ell64 as claimed (but incorrect) encoding for sec32 here; this works + * because the "hasher" function we use here ignores the ell64 arguments. */ + ret = secp256k1_ellswift_xdh(CTX, share32, ell64, ell64, sec32, i & 1, &ellswift_xdh_hash_x32, NULL); + CHECK(ret); + (void)secp256k1_fe_set_b32_limit(&share_x, share32); /* no overflow is possible */ + SECP256K1_FE_VERIFY(&share_x); + /* Compute seckey*pubkey directly. */ + secp256k1_ecmult(&resj, &decj, &sec, NULL); + secp256k1_ge_set_gej(&res, &resj); + /* Compare. */ + CHECK(fe_equal(&res.x, &share_x)); + } + /* Verify the joint behavior of secp256k1_ellswift_xdh */ + for (i = 0; i < 200 * COUNT; i++) { + unsigned char auxrnd32a[32], auxrnd32b[32], auxrnd32a_bad[32], auxrnd32b_bad[32]; + unsigned char sec32a[32], sec32b[32], sec32a_bad[32], sec32b_bad[32]; + secp256k1_scalar seca, secb; + unsigned char ell64a[64], ell64b[64], ell64a_bad[64], ell64b_bad[64]; + unsigned char share32a[32], share32b[32], share32_bad[32]; + unsigned char prefix64[64]; + secp256k1_ellswift_xdh_hash_function hash_function; + void* data; + int ret; + + /* Pick hasher to use. */ + if ((i % 3) == 0) { + hash_function = ellswift_xdh_hash_x32; + data = NULL; + } else if ((i % 3) == 1) { + hash_function = secp256k1_ellswift_xdh_hash_function_bip324; + data = NULL; + } else { + hash_function = secp256k1_ellswift_xdh_hash_function_prefix; + testrand256_test(prefix64); + testrand256_test(prefix64 + 32); + data = prefix64; + } + + /* Generate random secret keys and random randomizers. */ + testrand256_test(auxrnd32a); + testrand256_test(auxrnd32b); + testutil_random_scalar_order_test(&seca); + /* Draw secb uniformly at random to make sure that the secret keys + * differ */ + testutil_random_scalar_order(&secb); + secp256k1_scalar_get_b32(sec32a, &seca); + secp256k1_scalar_get_b32(sec32b, &secb); + + /* Construct ElligatorSwift-encoded public keys for those keys. */ + /* For A: */ + ret = secp256k1_ellswift_create(CTX, ell64a, sec32a, auxrnd32a); + CHECK(ret); + /* For B: */ + ret = secp256k1_ellswift_create(CTX, ell64b, sec32b, auxrnd32b); + CHECK(ret); + + /* Compute the shared secret both ways and compare with each other. */ + /* For A: */ + ret = secp256k1_ellswift_xdh(CTX, share32a, ell64a, ell64b, sec32a, 0, hash_function, data); + CHECK(ret); + /* For B: */ + ret = secp256k1_ellswift_xdh(CTX, share32b, ell64a, ell64b, sec32b, 1, hash_function, data); + CHECK(ret); + /* And compare: */ + CHECK(secp256k1_memcmp_var(share32a, share32b, 32) == 0); + + /* Verify that the shared secret doesn't match if other side's public key is incorrect. */ + /* For A (using a bad public key for B): */ + memcpy(ell64b_bad, ell64b, sizeof(ell64a_bad)); + testrand_flip(ell64b_bad, sizeof(ell64b_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b_bad, sec32a, 0, hash_function, data); + CHECK(ret); /* Mismatching encodings don't get detected by secp256k1_ellswift_xdh. */ + CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B (using a bad public key for A): */ + memcpy(ell64a_bad, ell64a, sizeof(ell64a_bad)); + testrand_flip(ell64a_bad, sizeof(ell64a_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a_bad, ell64b, sec32b, 1, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + + /* Verify that the shared secret doesn't match if the private key is incorrect. */ + /* For A: */ + memcpy(sec32a_bad, sec32a, sizeof(sec32a_bad)); + testrand_flip(sec32a_bad, sizeof(sec32a_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32a_bad, 0, hash_function, data); + CHECK(!ret || secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B: */ + memcpy(sec32b_bad, sec32b, sizeof(sec32b_bad)); + testrand_flip(sec32b_bad, sizeof(sec32b_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32b_bad, 1, hash_function, data); + CHECK(!ret || secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + + if (hash_function != ellswift_xdh_hash_x32) { + /* Verify that the shared secret doesn't match when a different encoding of the same public key is used. */ + /* For A (changing B's public key): */ + memcpy(auxrnd32b_bad, auxrnd32b, sizeof(auxrnd32b_bad)); + testrand_flip(auxrnd32b_bad, sizeof(auxrnd32b_bad)); + ret = secp256k1_ellswift_create(CTX, ell64b_bad, sec32b, auxrnd32b_bad); + CHECK(ret); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b_bad, sec32a, 0, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B (changing A's public key): */ + memcpy(auxrnd32a_bad, auxrnd32a, sizeof(auxrnd32a_bad)); + testrand_flip(auxrnd32a_bad, sizeof(auxrnd32a_bad)); + ret = secp256k1_ellswift_create(CTX, ell64a_bad, sec32a, auxrnd32a_bad); + CHECK(ret); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a_bad, ell64b, sec32b, 1, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + + /* Verify that swapping sides changes the shared secret. */ + /* For A (claiming to be B): */ + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32a, 1, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B (claiming to be A): */ + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32b, 0, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + } + } + + /* Test hash initializers. */ + { + secp256k1_sha256 sha, sha_optimized; + static const unsigned char encode_tag[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'e', 'n', 'c', 'o', 'd', 'e'}; + static const unsigned char create_tag[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'c', 'r', 'e', 'a', 't', 'e'}; + static const unsigned char bip324_tag[] = {'b', 'i', 'p', '3', '2', '4', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'x', 'o', 'n', 'l', 'y', '_', 'e', 'c', 'd', 'h'}; + + /* Check that hash initialized by + * secp256k1_ellswift_sha256_init_encode has the expected + * state. */ + secp256k1_sha256_initialize_tagged(&sha, encode_tag, sizeof(encode_tag)); + secp256k1_ellswift_sha256_init_encode(&sha_optimized); + test_sha256_eq(&sha, &sha_optimized); + + /* Check that hash initialized by + * secp256k1_ellswift_sha256_init_create has the expected + * state. */ + secp256k1_sha256_initialize_tagged(&sha, create_tag, sizeof(create_tag)); + secp256k1_ellswift_sha256_init_create(&sha_optimized); + test_sha256_eq(&sha, &sha_optimized); + + /* Check that hash initialized by + * secp256k1_ellswift_sha256_init_bip324 has the expected + * state. */ + secp256k1_sha256_initialize_tagged(&sha, bip324_tag, sizeof(bip324_tag)); + secp256k1_ellswift_sha256_init_bip324(&sha_optimized); + test_sha256_eq(&sha, &sha_optimized); + } +} + +#endif diff --git a/src/secp256k1/src/modules/extrakeys/Makefile.am.include b/src/secp256k1/src/modules/extrakeys/Makefile.am.include new file mode 100644 index 00000000..0d901ec1 --- /dev/null +++ b/src/secp256k1/src/modules/extrakeys/Makefile.am.include @@ -0,0 +1,4 @@ +include_HEADERS += include/secp256k1_extrakeys.h +noinst_HEADERS += src/modules/extrakeys/tests_impl.h +noinst_HEADERS += src/modules/extrakeys/tests_exhaustive_impl.h +noinst_HEADERS += src/modules/extrakeys/main_impl.h diff --git a/src/secp256k1/src/modules/extrakeys/main_impl.h b/src/secp256k1/src/modules/extrakeys/main_impl.h new file mode 100644 index 00000000..0c7e2667 --- /dev/null +++ b/src/secp256k1/src/modules/extrakeys/main_impl.h @@ -0,0 +1,285 @@ +/*********************************************************************** + * Copyright (c) 2020 Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_EXTRAKEYS_MAIN_H +#define SECP256K1_MODULE_EXTRAKEYS_MAIN_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_extrakeys.h" +#include "../../util.h" + +static SECP256K1_INLINE int secp256k1_xonly_pubkey_load(const secp256k1_context* ctx, secp256k1_ge *ge, const secp256k1_xonly_pubkey *pubkey) { + return secp256k1_pubkey_load(ctx, ge, (const secp256k1_pubkey *) pubkey); +} + +static SECP256K1_INLINE void secp256k1_xonly_pubkey_save(secp256k1_xonly_pubkey *pubkey, secp256k1_ge *ge) { + secp256k1_pubkey_save((secp256k1_pubkey *) pubkey, ge); +} + +int secp256k1_xonly_pubkey_parse(const secp256k1_context* ctx, secp256k1_xonly_pubkey *pubkey, const unsigned char *input32) { + secp256k1_ge pk; + secp256k1_fe x; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(input32 != NULL); + + if (!secp256k1_fe_set_b32_limit(&x, input32)) { + return 0; + } + if (!secp256k1_ge_set_xo_var(&pk, &x, 0)) { + return 0; + } + if (!secp256k1_ge_is_in_correct_subgroup(&pk)) { + return 0; + } + secp256k1_xonly_pubkey_save(pubkey, &pk); + return 1; +} + +int secp256k1_xonly_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output32, const secp256k1_xonly_pubkey *pubkey) { + secp256k1_ge pk; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(output32 != NULL); + memset(output32, 0, 32); + ARG_CHECK(pubkey != NULL); + + if (!secp256k1_xonly_pubkey_load(ctx, &pk, pubkey)) { + return 0; + } + secp256k1_fe_get_b32(output32, &pk.x); + return 1; +} + +int secp256k1_xonly_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_xonly_pubkey* pk0, const secp256k1_xonly_pubkey* pk1) { + unsigned char out[2][32]; + const secp256k1_xonly_pubkey* pk[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + pk[0] = pk0; pk[1] = pk1; + for (i = 0; i < 2; i++) { + /* If the public key is NULL or invalid, xonly_pubkey_serialize will + * call the illegal_callback and return 0. In that case we will + * serialize the key as all zeros which is less than any valid public + * key. This results in consistent comparisons even if NULL or invalid + * pubkeys are involved and prevents edge cases such as sorting + * algorithms that use this function and do not terminate as a + * result. */ + if (!secp256k1_xonly_pubkey_serialize(ctx, out[i], pk[i])) { + /* Note that xonly_pubkey_serialize should already set the output to + * zero in that case, but it's not guaranteed by the API, we can't + * test it and writing a VERIFY_CHECK is more complex than + * explicitly memsetting (again). */ + memset(out[i], 0, sizeof(out[i])); + } + } + return secp256k1_memcmp_var(out[0], out[1], sizeof(out[1])); +} + +/** Keeps a group element as is if it has an even Y and otherwise negates it. + * y_parity is set to 0 in the former case and to 1 in the latter case. + * Requires that the coordinates of r are normalized. */ +static int secp256k1_extrakeys_ge_even_y(secp256k1_ge *r) { + int y_parity = 0; + VERIFY_CHECK(!secp256k1_ge_is_infinity(r)); + + if (secp256k1_fe_is_odd(&r->y)) { + secp256k1_fe_negate(&r->y, &r->y, 1); + y_parity = 1; + } + return y_parity; +} + +int secp256k1_xonly_pubkey_from_pubkey(const secp256k1_context* ctx, secp256k1_xonly_pubkey *xonly_pubkey, int *pk_parity, const secp256k1_pubkey *pubkey) { + secp256k1_ge pk; + int tmp; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(xonly_pubkey != NULL); + ARG_CHECK(pubkey != NULL); + + if (!secp256k1_pubkey_load(ctx, &pk, pubkey)) { + return 0; + } + tmp = secp256k1_extrakeys_ge_even_y(&pk); + if (pk_parity != NULL) { + *pk_parity = tmp; + } + secp256k1_xonly_pubkey_save(xonly_pubkey, &pk); + return 1; +} + +int secp256k1_xonly_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, const secp256k1_xonly_pubkey *internal_pubkey, const unsigned char *tweak32) { + secp256k1_ge pk; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(output_pubkey != NULL); + memset(output_pubkey, 0, sizeof(*output_pubkey)); + ARG_CHECK(internal_pubkey != NULL); + ARG_CHECK(tweak32 != NULL); + + if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey) + || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) { + return 0; + } + secp256k1_pubkey_save(output_pubkey, &pk); + return 1; +} + +int secp256k1_xonly_pubkey_tweak_add_check(const secp256k1_context* ctx, const unsigned char *tweaked_pubkey32, int tweaked_pk_parity, const secp256k1_xonly_pubkey *internal_pubkey, const unsigned char *tweak32) { + secp256k1_ge pk; + unsigned char pk_expected32[32]; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(internal_pubkey != NULL); + ARG_CHECK(tweaked_pubkey32 != NULL); + ARG_CHECK(tweak32 != NULL); + + if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey) + || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) { + return 0; + } + secp256k1_fe_normalize_var(&pk.x); + secp256k1_fe_normalize_var(&pk.y); + secp256k1_fe_get_b32(pk_expected32, &pk.x); + + return secp256k1_memcmp_var(&pk_expected32, tweaked_pubkey32, 32) == 0 + && secp256k1_fe_is_odd(&pk.y) == tweaked_pk_parity; +} + +static void secp256k1_keypair_save(secp256k1_keypair *keypair, const secp256k1_scalar *sk, secp256k1_ge *pk) { + secp256k1_scalar_get_b32(&keypair->data[0], sk); + secp256k1_pubkey_save((secp256k1_pubkey *)&keypair->data[32], pk); +} + + +static int secp256k1_keypair_seckey_load(const secp256k1_context* ctx, secp256k1_scalar *sk, const secp256k1_keypair *keypair) { + int ret; + + ret = secp256k1_scalar_set_b32_seckey(sk, &keypair->data[0]); + /* We can declassify ret here because sk is only zero if a keypair function + * failed (which zeroes the keypair) and its return value is ignored. */ + secp256k1_declassify(ctx, &ret, sizeof(ret)); + ARG_CHECK(ret); + return ret; +} + +/* Load a keypair into pk and sk (if non-NULL). This function declassifies pk + * and ARG_CHECKs that the keypair is not invalid. It always initializes sk and + * pk with dummy values. */ +static int secp256k1_keypair_load(const secp256k1_context* ctx, secp256k1_scalar *sk, secp256k1_ge *pk, const secp256k1_keypair *keypair) { + int ret; + const secp256k1_pubkey *pubkey = (const secp256k1_pubkey *)&keypair->data[32]; + + /* Need to declassify the pubkey because pubkey_load ARG_CHECKs if it's + * invalid. */ + secp256k1_declassify(ctx, pubkey, sizeof(*pubkey)); + ret = secp256k1_pubkey_load(ctx, pk, pubkey); + if (sk != NULL) { + ret = ret && secp256k1_keypair_seckey_load(ctx, sk, keypair); + } + if (!ret) { + *pk = secp256k1_ge_const_g; + if (sk != NULL) { + *sk = secp256k1_scalar_one; + } + } + return ret; +} + +int secp256k1_keypair_create(const secp256k1_context* ctx, secp256k1_keypair *keypair, const unsigned char *seckey32) { + secp256k1_scalar sk; + secp256k1_ge pk; + int ret = 0; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(keypair != NULL); + memset(keypair, 0, sizeof(*keypair)); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(seckey32 != NULL); + + ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &sk, &pk, seckey32); + secp256k1_keypair_save(keypair, &sk, &pk); + secp256k1_memczero(keypair, sizeof(*keypair), !ret); + + secp256k1_scalar_clear(&sk); + return ret; +} + +int secp256k1_keypair_sec(const secp256k1_context* ctx, unsigned char *seckey, const secp256k1_keypair *keypair) { + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(seckey != NULL); + memset(seckey, 0, 32); + ARG_CHECK(keypair != NULL); + + memcpy(seckey, &keypair->data[0], 32); + return 1; +} + +int secp256k1_keypair_pub(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_keypair *keypair) { + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(keypair != NULL); + + memcpy(pubkey->data, &keypair->data[32], sizeof(*pubkey)); + return 1; +} + +int secp256k1_keypair_xonly_pub(const secp256k1_context* ctx, secp256k1_xonly_pubkey *pubkey, int *pk_parity, const secp256k1_keypair *keypair) { + secp256k1_ge pk; + int tmp; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(keypair != NULL); + + if (!secp256k1_keypair_load(ctx, NULL, &pk, keypair)) { + return 0; + } + tmp = secp256k1_extrakeys_ge_even_y(&pk); + if (pk_parity != NULL) { + *pk_parity = tmp; + } + secp256k1_xonly_pubkey_save(pubkey, &pk); + + return 1; +} + +int secp256k1_keypair_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_keypair *keypair, const unsigned char *tweak32) { + secp256k1_ge pk; + secp256k1_scalar sk; + int y_parity; + int ret; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(keypair != NULL); + ARG_CHECK(tweak32 != NULL); + + ret = secp256k1_keypair_load(ctx, &sk, &pk, keypair); + memset(keypair, 0, sizeof(*keypair)); + + y_parity = secp256k1_extrakeys_ge_even_y(&pk); + if (y_parity == 1) { + secp256k1_scalar_negate(&sk, &sk); + } + + ret &= secp256k1_ec_seckey_tweak_add_helper(&sk, tweak32); + ret &= secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32); + + secp256k1_declassify(ctx, &ret, sizeof(ret)); + if (ret) { + secp256k1_keypair_save(keypair, &sk, &pk); + } + + secp256k1_scalar_clear(&sk); + return ret; +} + +#endif diff --git a/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h b/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h new file mode 100644 index 00000000..645bae2d --- /dev/null +++ b/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h @@ -0,0 +1,68 @@ +/*********************************************************************** + * Copyright (c) 2020 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H +#define SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H + +#include "../../../include/secp256k1_extrakeys.h" +#include "main_impl.h" + +static void test_exhaustive_extrakeys(const secp256k1_context *ctx, const secp256k1_ge* group) { + secp256k1_keypair keypair[EXHAUSTIVE_TEST_ORDER - 1]; + secp256k1_pubkey pubkey[EXHAUSTIVE_TEST_ORDER - 1]; + secp256k1_xonly_pubkey xonly_pubkey[EXHAUSTIVE_TEST_ORDER - 1]; + int parities[EXHAUSTIVE_TEST_ORDER - 1]; + unsigned char xonly_pubkey_bytes[EXHAUSTIVE_TEST_ORDER - 1][32]; + int i; + + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { + secp256k1_fe fe; + secp256k1_scalar scalar_i; + unsigned char buf[33]; + int parity; + + secp256k1_scalar_set_int(&scalar_i, i); + secp256k1_scalar_get_b32(buf, &scalar_i); + + /* Construct pubkey and keypair. */ + CHECK(secp256k1_keypair_create(ctx, &keypair[i - 1], buf)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey[i - 1], buf)); + + /* Construct serialized xonly_pubkey from keypair. */ + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pubkey[i - 1], &parities[i - 1], &keypair[i - 1])); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, xonly_pubkey_bytes[i - 1], &xonly_pubkey[i - 1])); + + /* Parse the xonly_pubkey back and verify it matches the previously serialized value. */ + CHECK(secp256k1_xonly_pubkey_parse(ctx, &xonly_pubkey[i - 1], xonly_pubkey_bytes[i - 1])); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf, &xonly_pubkey[i - 1])); + CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], buf, 32) == 0); + + /* Construct the xonly_pubkey from the pubkey, and verify it matches the same. */ + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pubkey[i - 1], &parity, &pubkey[i - 1])); + CHECK(parity == parities[i - 1]); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf, &xonly_pubkey[i - 1])); + CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], buf, 32) == 0); + + /* Compare the xonly_pubkey bytes against the precomputed group. */ + secp256k1_fe_set_b32_mod(&fe, xonly_pubkey_bytes[i - 1]); + CHECK(secp256k1_fe_equal(&fe, &group[i].x)); + + /* Check the parity against the precomputed group. */ + fe = group[i].y; + secp256k1_fe_normalize_var(&fe); + CHECK(secp256k1_fe_is_odd(&fe) == parities[i - 1]); + + /* Verify that the higher half is identical to the lower half mirrored. */ + if (i > EXHAUSTIVE_TEST_ORDER / 2) { + CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], xonly_pubkey_bytes[EXHAUSTIVE_TEST_ORDER - i - 1], 32) == 0); + CHECK(parities[i - 1] == 1 - parities[EXHAUSTIVE_TEST_ORDER - i - 1]); + } + } + + /* TODO: keypair/xonly_pubkey tweak tests */ +} + +#endif diff --git a/src/secp256k1/src/modules/extrakeys/tests_impl.h b/src/secp256k1/src/modules/extrakeys/tests_impl.h new file mode 100644 index 00000000..ab4ef4a7 --- /dev/null +++ b/src/secp256k1/src/modules/extrakeys/tests_impl.h @@ -0,0 +1,483 @@ +/*********************************************************************** + * Copyright (c) 2020 Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_H +#define SECP256K1_MODULE_EXTRAKEYS_TESTS_H + +#include "../../../include/secp256k1_extrakeys.h" + +static void test_xonly_pubkey(void) { + secp256k1_pubkey pk; + secp256k1_xonly_pubkey xonly_pk, xonly_pk_tmp; + secp256k1_ge pk1; + secp256k1_ge pk2; + secp256k1_fe y; + unsigned char sk[32]; + unsigned char xy_sk[32]; + unsigned char buf32[32]; + unsigned char ones32[32]; + unsigned char zeros64[64] = { 0 }; + int pk_parity; + int i; + + testrand256(sk); + memset(ones32, 0xFF, 32); + testrand256(xy_sk); + CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); + + /* Test xonly_pubkey_from_pubkey */ + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, NULL, &pk_parity, &pk)); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk) == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, NULL)); + memset(&pk, 0, sizeof(pk)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk)); + + /* Choose a secret key such that the resulting pubkey and xonly_pubkey match. */ + memset(sk, 0, sizeof(sk)); + sk[0] = 1; + CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); + CHECK(secp256k1_memcmp_var(&pk, &xonly_pk, sizeof(pk)) == 0); + CHECK(pk_parity == 0); + + /* Choose a secret key such that pubkey and xonly_pubkey are each others + * negation. */ + sk[0] = 2; + CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); + CHECK(secp256k1_memcmp_var(&xonly_pk, &pk, sizeof(xonly_pk)) != 0); + CHECK(pk_parity == 1); + secp256k1_pubkey_load(CTX, &pk1, &pk); + secp256k1_pubkey_load(CTX, &pk2, (secp256k1_pubkey *) &xonly_pk); + CHECK(secp256k1_fe_equal(&pk1.x, &pk2.x) == 1); + secp256k1_fe_negate(&y, &pk2.y, 1); + CHECK(secp256k1_fe_equal(&pk1.y, &y) == 1); + + /* Test xonly_pubkey_serialize and xonly_pubkey_parse */ + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, NULL, &xonly_pk)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, buf32, NULL)); + CHECK(secp256k1_memcmp_var(buf32, zeros64, 32) == 0); + { + /* A pubkey filled with 0s will fail to serialize due to pubkey_load + * special casing. */ + secp256k1_xonly_pubkey pk_tmp; + memset(&pk_tmp, 0, sizeof(pk_tmp)); + /* pubkey_load calls illegal callback */ + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, buf32, &pk_tmp)); + } + + CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &xonly_pk) == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_parse(CTX, NULL, buf32)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, NULL)); + + /* Serialization and parse roundtrip */ + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk) == 1); + CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &xonly_pk) == 1); + CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk_tmp, buf32) == 1); + CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(xonly_pk)) == 0); + + /* Test parsing invalid field elements */ + memset(&xonly_pk, 1, sizeof(xonly_pk)); + /* Overflowing field element */ + CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, ones32) == 0); + CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0); + memset(&xonly_pk, 1, sizeof(xonly_pk)); + /* There's no point with x-coordinate 0 on secp256k1 */ + CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, zeros64) == 0); + CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0); + /* If a random 32-byte string can not be parsed with ec_pubkey_parse + * (because interpreted as X coordinate it does not correspond to a point on + * the curve) then xonly_pubkey_parse should fail as well. */ + for (i = 0; i < COUNT; i++) { + unsigned char rand33[33]; + testrand256(&rand33[1]); + rand33[0] = SECP256K1_TAG_PUBKEY_EVEN; + if (!secp256k1_ec_pubkey_parse(CTX, &pk, rand33, 33)) { + memset(&xonly_pk, 1, sizeof(xonly_pk)); + CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, &rand33[1]) == 0); + CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0); + } else { + CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, &rand33[1]) == 1); + } + } +} + +static void test_xonly_pubkey_comparison(void) { + unsigned char pk1_ser[32] = { + 0x58, 0x84, 0xb3, 0xa2, 0x4b, 0x97, 0x37, 0x88, 0x92, 0x38, 0xa6, 0x26, 0x62, 0x52, 0x35, 0x11, + 0xd0, 0x9a, 0xa1, 0x1b, 0x80, 0x0b, 0x5e, 0x93, 0x80, 0x26, 0x11, 0xef, 0x67, 0x4b, 0xd9, 0x23 + }; + const unsigned char pk2_ser[32] = { + 0xde, 0x36, 0x0e, 0x87, 0x59, 0x8f, 0x3c, 0x01, 0x36, 0x2a, 0x2a, 0xb8, 0xc6, 0xf4, 0x5e, 0x4d, + 0xb2, 0xc2, 0xd5, 0x03, 0xa7, 0xf9, 0xf1, 0x4f, 0xa8, 0xfa, 0x95, 0xa8, 0xe9, 0x69, 0x76, 0x1c + }; + secp256k1_xonly_pubkey pk1; + secp256k1_xonly_pubkey pk2; + + CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk1, pk1_ser) == 1); + CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk2, pk2_ser) == 1); + + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, NULL, &pk2) < 0)); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, NULL) > 0)); + CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0); + CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0); + CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0); + CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk2) == 0); + memset(&pk1, 0, sizeof(pk1)); /* illegal pubkey */ + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0)); + { + int32_t ecount = 0; + secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount); + CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0); + CHECK(ecount == 2); + secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + } + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0)); +} + +static void test_xonly_pubkey_tweak(void) { + unsigned char zeros64[64] = { 0 }; + unsigned char overflows[32]; + unsigned char sk[32]; + secp256k1_pubkey internal_pk; + secp256k1_xonly_pubkey internal_xonly_pk; + secp256k1_pubkey output_pk; + int pk_parity; + unsigned char tweak[32]; + int i; + + memset(overflows, 0xff, sizeof(overflows)); + testrand256(tweak); + testrand256(sk); + CHECK(secp256k1_ec_pubkey_create(CTX, &internal_pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); + + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, NULL, &internal_xonly_pk, tweak)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, NULL, tweak)); + /* NULL internal_xonly_pk zeroes the output_pk */ + CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, NULL)); + /* NULL tweak zeroes the output_pk */ + CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); + + /* Invalid tweak zeroes the output_pk */ + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, overflows) == 0); + CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); + + /* A zero tweak is fine */ + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, zeros64) == 1); + + /* Fails if the resulting key was infinity */ + for (i = 0; i < COUNT; i++) { + secp256k1_scalar scalar_tweak; + /* Because sk may be negated before adding, we need to try with tweak = + * sk as well as tweak = -sk. */ + secp256k1_scalar_set_b32(&scalar_tweak, sk, NULL); + secp256k1_scalar_negate(&scalar_tweak, &scalar_tweak); + secp256k1_scalar_get_b32(tweak, &scalar_tweak); + CHECK((secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, sk) == 0) + || (secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 0)); + CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); + } + + /* Invalid pk with a valid tweak */ + memset(&internal_xonly_pk, 0, sizeof(internal_xonly_pk)); + testrand256(tweak); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak)); + CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); +} + +static void test_xonly_pubkey_tweak_check(void) { + unsigned char zeros64[64] = { 0 }; + unsigned char overflows[32]; + unsigned char sk[32]; + secp256k1_pubkey internal_pk; + secp256k1_xonly_pubkey internal_xonly_pk; + secp256k1_pubkey output_pk; + secp256k1_xonly_pubkey output_xonly_pk; + unsigned char output_pk32[32]; + unsigned char buf32[32]; + int pk_parity; + unsigned char tweak[32]; + + memset(overflows, 0xff, sizeof(overflows)); + testrand256(tweak); + testrand256(sk); + CHECK(secp256k1_ec_pubkey_create(CTX, &internal_pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); + + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &output_xonly_pk, &pk_parity, &output_pk) == 1); + CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &output_xonly_pk) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, NULL, pk_parity, &internal_xonly_pk, tweak)); + /* invalid pk_parity value */ + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, 2, &internal_xonly_pk, tweak) == 0); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, NULL, tweak)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, NULL)); + + memset(tweak, 1, sizeof(tweak)); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, NULL, &internal_pk) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &output_xonly_pk, &pk_parity, &output_pk) == 1); + CHECK(secp256k1_xonly_pubkey_serialize(CTX, output_pk32, &output_xonly_pk) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, pk_parity, &internal_xonly_pk, tweak) == 1); + + /* Wrong pk_parity */ + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, !pk_parity, &internal_xonly_pk, tweak) == 0); + /* Wrong public key */ + CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &internal_xonly_pk) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 0); + + /* Overflowing tweak not allowed */ + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, pk_parity, &internal_xonly_pk, overflows) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, overflows) == 0); + CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); +} + +/* Starts with an initial pubkey and recursively creates N_PUBKEYS - 1 + * additional pubkeys by calling tweak_add. Then verifies every tweak starting + * from the last pubkey. */ +#define N_PUBKEYS 32 +static void test_xonly_pubkey_tweak_recursive(void) { + unsigned char sk[32]; + secp256k1_pubkey pk[N_PUBKEYS]; + unsigned char pk_serialized[32]; + unsigned char tweak[N_PUBKEYS - 1][32]; + int i; + + testrand256(sk); + CHECK(secp256k1_ec_pubkey_create(CTX, &pk[0], sk) == 1); + /* Add tweaks */ + for (i = 0; i < N_PUBKEYS - 1; i++) { + secp256k1_xonly_pubkey xonly_pk; + memset(tweak[i], i + 1, sizeof(tweak[i])); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk[i]) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &pk[i + 1], &xonly_pk, tweak[i]) == 1); + } + + /* Verify tweaks */ + for (i = N_PUBKEYS - 1; i > 0; i--) { + secp256k1_xonly_pubkey xonly_pk; + int pk_parity; + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk[i]) == 1); + CHECK(secp256k1_xonly_pubkey_serialize(CTX, pk_serialized, &xonly_pk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk[i - 1]) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, pk_serialized, pk_parity, &xonly_pk, tweak[i - 1]) == 1); + } +} +#undef N_PUBKEYS + +static void test_keypair(void) { + unsigned char sk[32]; + unsigned char sk_tmp[32]; + unsigned char zeros96[96] = { 0 }; + unsigned char overflows[32]; + secp256k1_keypair keypair; + secp256k1_pubkey pk, pk_tmp; + secp256k1_xonly_pubkey xonly_pk, xonly_pk_tmp; + int pk_parity, pk_parity_tmp; + + CHECK(sizeof(zeros96) == sizeof(keypair)); + memset(overflows, 0xFF, sizeof(overflows)); + + /* Test keypair_create */ + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0); + CHECK_ILLEGAL(CTX, secp256k1_keypair_create(CTX, NULL, sk)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_create(CTX, &keypair, NULL)); + CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_keypair_create(STATIC_CTX, &keypair, sk)); + CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); + + /* Invalid secret key */ + CHECK(secp256k1_keypair_create(CTX, &keypair, zeros96) == 0); + CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); + CHECK(secp256k1_keypair_create(CTX, &keypair, overflows) == 0); + CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); + + /* Test keypair_pub */ + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair) == 1); + CHECK_ILLEGAL(CTX, secp256k1_keypair_pub(CTX, NULL, &keypair)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_pub(CTX, &pk, NULL)); + CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0); + + /* Using an invalid keypair is fine for keypair_pub */ + memset(&keypair, 0, sizeof(keypair)); + CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair) == 1); + CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0); + + /* keypair holds the same pubkey as pubkey_create */ + CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_pub(CTX, &pk_tmp, &keypair) == 1); + CHECK(secp256k1_memcmp_var(&pk, &pk_tmp, sizeof(pk)) == 0); + + /** Test keypair_xonly_pub **/ + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 1); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, NULL, &pk_parity, &keypair)); + CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, NULL, &keypair) == 1); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, NULL)); + CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0); + /* Using an invalid keypair will set the xonly_pk to 0 (first reset + * xonly_pk). */ + CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 1); + memset(&keypair, 0, sizeof(keypair)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair)); + CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0); + + /** keypair holds the same xonly pubkey as pubkey_create **/ + CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk_tmp, &pk_parity_tmp, &keypair) == 1); + CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(pk)) == 0); + CHECK(pk_parity == pk_parity_tmp); + + /* Test keypair_seckey */ + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1); + CHECK_ILLEGAL(CTX, secp256k1_keypair_sec(CTX, NULL, &keypair)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_sec(CTX, sk_tmp, NULL)); + CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0); + + /* keypair returns the same seckey it got */ + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1); + CHECK(secp256k1_memcmp_var(sk, sk_tmp, sizeof(sk_tmp)) == 0); + + + /* Using an invalid keypair is fine for keypair_seckey */ + memset(&keypair, 0, sizeof(keypair)); + CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1); + CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0); +} + +static void test_keypair_add(void) { + unsigned char sk[32]; + secp256k1_keypair keypair; + unsigned char overflows[32]; + unsigned char zeros96[96] = { 0 }; + unsigned char tweak[32]; + int i; + + CHECK(sizeof(zeros96) == sizeof(keypair)); + testrand256(sk); + testrand256(tweak); + memset(overflows, 0xFF, 32); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, NULL, tweak)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, NULL)); + /* This does not set the keypair to zeroes */ + CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) != 0); + + /* Invalid tweak zeroes the keypair */ + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, overflows) == 0); + CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0); + + /* A zero tweak is fine */ + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, zeros96) == 1); + + /* Fails if the resulting keypair was (sk=0, pk=infinity) */ + for (i = 0; i < COUNT; i++) { + secp256k1_scalar scalar_tweak; + secp256k1_keypair keypair_tmp; + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + memcpy(&keypair_tmp, &keypair, sizeof(keypair)); + /* Because sk may be negated before adding, we need to try with tweak = + * sk as well as tweak = -sk. */ + secp256k1_scalar_set_b32(&scalar_tweak, sk, NULL); + secp256k1_scalar_negate(&scalar_tweak, &scalar_tweak); + secp256k1_scalar_get_b32(tweak, &scalar_tweak); + CHECK((secp256k1_keypair_xonly_tweak_add(CTX, &keypair, sk) == 0) + || (secp256k1_keypair_xonly_tweak_add(CTX, &keypair_tmp, tweak) == 0)); + CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0 + || secp256k1_memcmp_var(&keypair_tmp, zeros96, sizeof(keypair_tmp)) == 0); + } + + /* Invalid keypair with a valid tweak */ + memset(&keypair, 0, sizeof(keypair)); + testrand256(tweak); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak)); + CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0); + /* Only seckey part of keypair invalid */ + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + memset(&keypair, 0, 32); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak)); + /* Only pubkey part of keypair invalid */ + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + memset(&keypair.data[32], 0, 64); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak)); + + /* Check that the keypair_tweak_add implementation is correct */ + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + for (i = 0; i < COUNT; i++) { + secp256k1_xonly_pubkey internal_pk; + secp256k1_xonly_pubkey output_pk; + secp256k1_pubkey output_pk_xy; + secp256k1_pubkey output_pk_expected; + unsigned char pk32[32]; + unsigned char sk32[32]; + int pk_parity; + + testrand256(tweak); + CHECK(secp256k1_keypair_xonly_pub(CTX, &internal_pk, NULL, &keypair) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &output_pk, &pk_parity, &keypair) == 1); + + /* Check that it passes xonly_pubkey_tweak_add_check */ + CHECK(secp256k1_xonly_pubkey_serialize(CTX, pk32, &output_pk) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, pk32, pk_parity, &internal_pk, tweak) == 1); + + /* Check that the resulting pubkey matches xonly_pubkey_tweak_add */ + CHECK(secp256k1_keypair_pub(CTX, &output_pk_xy, &keypair) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk_expected, &internal_pk, tweak) == 1); + CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0); + + /* Check that the secret key in the keypair is tweaked correctly */ + CHECK(secp256k1_keypair_sec(CTX, sk32, &keypair) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &output_pk_expected, sk32) == 1); + CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0); + } +} + +static void run_extrakeys_tests(void) { + /* xonly key test cases */ + test_xonly_pubkey(); + test_xonly_pubkey_tweak(); + test_xonly_pubkey_tweak_check(); + test_xonly_pubkey_tweak_recursive(); + test_xonly_pubkey_comparison(); + + /* keypair tests */ + test_keypair(); + test_keypair_add(); +} + +#endif diff --git a/src/secp256k1/src/modules/multiset/Makefile.am.include b/src/secp256k1/src/modules/multiset/Makefile.am.include deleted file mode 100644 index 21a94e84..00000000 --- a/src/secp256k1/src/modules/multiset/Makefile.am.include +++ /dev/null @@ -1,8 +0,0 @@ -include_HEADERS += include/secp256k1_multiset.h -noinst_HEADERS += src/modules/multiset/main_impl.h -noinst_HEADERS += src/modules/multiset/tests_impl.h -if USE_BENCHMARK -noinst_PROGRAMS += bench_multiset -bench_multiset_SOURCES = src/bench_multiset.c -bench_multiset_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB) -endif diff --git a/src/secp256k1/src/modules/multiset/README.md b/src/secp256k1/src/modules/multiset/README.md deleted file mode 100644 index f8960771..00000000 --- a/src/secp256k1/src/modules/multiset/README.md +++ /dev/null @@ -1,82 +0,0 @@ -Secp256k1 multiset module -========================= - -Abstract --------- - -This module allows calculating a cryptographically secure hash for a -set with the properties: - -* The order of the elements of the set does not effect the hash -* Elements can be added to the set without recalculating the entire set - -Or mathematically, it is: - -* Commutative: H(a,b) = H(b,a) -* Associative: H(H(a,b),c) = H(a,H(b,c)) - -Hence it behaves similar to XORing the hashes of the individual elements, -but without the cryptographic weakness of XOR. - -Motivation ----------- - -The multiset can be used by cryptocurrencies to cheaply create and -maintain a commitment to the full UTXO set as proposed by Pieter Wiulle [1] - -It can also be used with a bucketed approach to enable cheap UTXO-proofs as -proposed by Tomas van der Wansem [2] - -Usage ------ - - // Construct a multiset of (data1,data3) - - unsigned char data1[100],data2[150],data3[175]; - ... - secp256k1_multiset x,y; - secp256k1_multiset_init (context, &x); - - // add all 3 data elements - secp256k1_multiset_add(context, &y, data1, sizeof(data1)); - secp256k1_multiset_add(context, &y, data2, sizeof(data2)); - secp256k1_multiset_add(context, &y, data3, sizeof(data3)); - - // remove data2 - secp256k1_multiset_remove(context, &y, data2, sizeof(data2)); - - // convert to hash - secp256k1_multiset_finalize(context, hashBuffer, &x); - -Algorithm ---------- - -Using Elliptic Curves as multisets is described in [3]. - -This implementation uses trial-and-hash [4] to convert the hash into -point on the secp256k1 curve which serves as multiset. The curve's -group operations are then used to add and remove multisets. -Associativity and Commutativity then follow. - -Security --------- -The hash is secure against collision attacks. - -The algorithm used is susceptible to timing attacks. Therefore it does -not securely conceal the underlying data being hashed. - -For the purpose of UTXO commitments this is not relevant. - -Faster and constant time algorithms exists [3] but only for char-2 curves. - -References ----------- - -[1] https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2017-May/014337.html - -[2] https://lists.linuxfoundation.org/pipermail/bitcoin-ml/2017-September/000240.html - -[3] https://arxiv.org/pdf/1601.06502.pdf - -[4] https://eprint.iacr.org/2009/226.pdf - diff --git a/src/secp256k1/src/modules/multiset/main_impl.h b/src/secp256k1/src/modules/multiset/main_impl.h deleted file mode 100644 index b4cf04b5..00000000 --- a/src/secp256k1/src/modules/multiset/main_impl.h +++ /dev/null @@ -1,279 +0,0 @@ -/********************************************************************** - * Copyright (c) 2017 Tomas van der Wansem * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef _SECP256K1_MODULE_MULTISET_MAIN_ -#define _SECP256K1_MODULE_MULTISET_MAIN_ - - -#include "include/secp256k1_multiset.h" - -#include "hash.h" -#include "field.h" -#include "group.h" - -/** Converts a group element (Jacobian) to a multiset. - * Requires the field elements to be normalized - * Infinite uses special value, z = 0 - */ -static void multiset_from_gej_var(secp256k1_multiset *target, const secp256k1_gej *input) { - if (input->infinity) { - memset(&target->d, 0, sizeof(target->d)); - } else { - secp256k1_fe_get_b32(target->d, &input->x); - secp256k1_fe_get_b32(target->d+32, &input->y); - secp256k1_fe_get_b32(target->d+64, &input->z); - } -} - -/** Converts a multiset to group element (Jacobian) - * Infinite uses special value, z = 0 - */ -static void gej_from_multiset_var(secp256k1_gej *target, const secp256k1_multiset *input) { - secp256k1_fe_set_b32(&target->x, input->d); - secp256k1_fe_set_b32(&target->y, input->d+32); - secp256k1_fe_set_b32(&target->z, input->d+64); - - target->infinity = secp256k1_fe_is_zero(&target->z) ? 1 : 0; -} - -/** Converts a data element to a group element (affine) - * - * We use trial-and-rehash which is fast but non-constant time. - * Though constant time algo's exist we are not concerned with timing attacks - * as we make no attempt to hide the underlying data - * - * Pass inverse=0 to generate the group element, or inverse=1 to generate its inverse - */ -static void ge_from_data_var(secp256k1_ge *target, const unsigned char *input, size_t inputLen, int inverse) { - secp256k1_sha256 hasher; - unsigned char buffer[8+32]; - unsigned char trial[32]; - uint64_t prefix; - - /* Hash to buffer, leaving space for 8-byte prefix */ - secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, input, inputLen); - secp256k1_sha256_finalize(&hasher, buffer+8); - - /* Loop through trials, with 50% success per loop - * We can assume it ends within 2^64. */ - for(prefix=0; 1; prefix++) - { - secp256k1_fe x; - - /* Set prefix in little-endian */ - buffer[0] = prefix & 0xFF; - buffer[1] = (prefix>>8) & 0xFF; - buffer[2] = (prefix>>16) & 0xFF; - buffer[3] = (prefix>>24) & 0xFF; - buffer[4] = (prefix>>32) & 0xFF; - buffer[5] = (prefix>>40) & 0xFF; - buffer[6] = (prefix>>48) & 0xFF; - buffer[7] = (prefix>>56) & 0xFF; - - /* Hash to trial */ - secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, buffer, sizeof(buffer)); - secp256k1_sha256_finalize(&hasher, trial); - - if (!secp256k1_fe_set_b32(&x, trial)) { - continue; - } - - /* We let y is even be the element and odd be its inverse */ - if (!secp256k1_ge_set_xo_var(target, &x, inverse)) { - continue; - } - - VERIFY_CHECK(secp256k1_ge_is_valid_var(target)); - VERIFY_CHECK(!secp256k1_ge_is_infinity(target)); - break; - } -} - -/** Adds or removes a data element */ -static int multiset_add_remove(const secp256k1_context* ctx, secp256k1_multiset *multiset, const unsigned char *input, size_t inputLen, int remove) { - secp256k1_ge newelm; - secp256k1_gej source, target; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(multiset != NULL); - ARG_CHECK(input != NULL); - - gej_from_multiset_var(&source, multiset); - ge_from_data_var(&newelm, input, inputLen, remove); - - /* - * The `target` group element needs to be initialized. - * If the result of the addition is infinity, the field elements won't be - * set and the `secp256k1_fe_normalize` calls below will branch on - * uninitialized data. - */ - secp256k1_gej_set_infinity(&target); - secp256k1_gej_add_ge_var(&target, &source, &newelm, NULL); - - secp256k1_fe_normalize(&target.x); - secp256k1_fe_normalize(&target.y); - secp256k1_fe_normalize(&target.z); - multiset_from_gej_var(multiset, &target); - - return 1; -} - -/** Adds a data element to the multiset */ -int secp256k1_multiset_add(const secp256k1_context* ctx, secp256k1_multiset *multiset, const unsigned char *input, size_t inputLen) { - return multiset_add_remove(ctx, multiset, input, inputLen, 0); -} - -/** Removes a data element from the multiset */ -int secp256k1_multiset_remove(const secp256k1_context* ctx, secp256k1_multiset *multiset, const unsigned char *input, size_t inputLen) { - return multiset_add_remove(ctx, multiset, input, inputLen, 1); -} - -/** Adds input multiset to multiset */ -int secp256k1_multiset_combine(const secp256k1_context* ctx, secp256k1_multiset *multiset, const secp256k1_multiset *input) { - secp256k1_gej gej_multiset, gej_input, gej_result; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(multiset != NULL); - ARG_CHECK(input != NULL); - - gej_from_multiset_var(&gej_multiset, multiset); - gej_from_multiset_var(&gej_input, input); - - /* - * The `gej_result` group element needs to be initialized. - * If the result of the addition is infinity, the field elements won't be - * set and the `secp256k1_fe_normalize` calls below will branch on - * uninitialized data. - */ - secp256k1_gej_set_infinity(&gej_result); - secp256k1_gej_add_var(&gej_result, &gej_multiset, &gej_input, NULL); - - secp256k1_fe_normalize(&gej_result.x); - secp256k1_fe_normalize(&gej_result.y); - secp256k1_fe_normalize(&gej_result.z); - multiset_from_gej_var(multiset, &gej_result); - - return 1; -} - -/** Hash the multiset into resultHash */ -int secp256k1_multiset_finalize(const secp256k1_context* ctx, unsigned char *resultHash, const secp256k1_multiset *multiset) { - secp256k1_sha256 hasher; - unsigned char buffer[64]; - secp256k1_gej gej; - secp256k1_ge ge; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(resultHash != NULL); - ARG_CHECK(multiset != NULL); - - gej_from_multiset_var(&gej, multiset); - - if (gej.infinity) { - /* empty set is encoded as zeros */ - memset(resultHash, 0x00, 32); - return 1; - } - - /* we must normalize to affine first */ - secp256k1_ge_set_gej(&ge, &gej); - secp256k1_fe_normalize(&ge.x); - secp256k1_fe_normalize(&ge.y); - secp256k1_fe_get_b32(buffer, &ge.x); - secp256k1_fe_get_b32(buffer+32, &ge.y); - - secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, buffer, sizeof(buffer)); - secp256k1_sha256_finalize(&hasher, resultHash); - - return 1; -} - -/** Inits the multiset with the constant for empty data, - * represented by the Jacobian GE infinite - */ -int secp256k1_multiset_init(const secp256k1_context* ctx, secp256k1_multiset *multiset) { - const secp256k1_gej inf = SECP256K1_GEJ_CONST_INFINITY; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(multiset != NULL); - - multiset_from_gej_var(multiset, &inf); - - return 1; -} - -/** Checks if the multiset is empty (at infinity). */ -int secp256k1_multiset_is_empty(const secp256k1_context* ctx, const secp256k1_multiset *multiset) { - secp256k1_gej gej; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(multiset != NULL); - - gej_from_multiset_var(&gej, multiset); - - return gej.infinity ? 1 : 0; -} - -/** Serialize a multiset to a 33-byte representation, identical to the pubkey repr, with the exception - * that if the set is empty, the 33-byte buffer will be all zeroes. */ -int secp256k1_multiset_serialize(const secp256k1_context* ctx, unsigned char *output, const secp256k1_multiset *multiset) { - secp256k1_ge ge; - secp256k1_gej gej; - secp256k1_pubkey pubkey; - size_t size = 33; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(output != NULL); - ARG_CHECK(multiset != NULL); - - gej_from_multiset_var(&gej, multiset); - - if (gej.infinity) { - /* Special case: if the set is empty, return all zeroes as the serialized pubkey data */ - memset(output, 0, 33); - return 1; - } - - /* We must convert to affine first */ - secp256k1_ge_set_gej(&ge, &gej); - secp256k1_pubkey_save(&pubkey, &ge); - return secp256k1_ec_pubkey_serialize(ctx, output, &size, &pubkey, SECP256K1_EC_COMPRESSED); -} - -/** Unserialize a multiset from a 33-byte representation. */ -int secp256k1_multiset_parse(const secp256k1_context* ctx, secp256k1_multiset *multiset, const unsigned char *input) { - secp256k1_ge ge; - secp256k1_gej gej; - secp256k1_pubkey pubkey; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(multiset != NULL); - ARG_CHECK(input != NULL); - - if (input[0] == 0x00u) { - /* Special case: prefix of zero indicates an empty multiset */ - return secp256k1_multiset_init(ctx, multiset); - } - - if (secp256k1_ec_pubkey_parse(ctx, &pubkey, input, 33) != 1) { - return 0; - } - - if (secp256k1_pubkey_load(ctx, &ge, &pubkey) != 1) { - return 0; - } - - /* Extracted affine, convert to jacobi */ - secp256k1_gej_set_ge(&gej, &ge); - multiset_from_gej_var(multiset, &gej); - - return 1; -} - -#endif /* _SECP256K1_MODULE_MULTISET_MAIN_ */ diff --git a/src/secp256k1/src/modules/multiset/tests_impl.h b/src/secp256k1/src/modules/multiset/tests_impl.h deleted file mode 100644 index 754ab658..00000000 --- a/src/secp256k1/src/modules/multiset/tests_impl.h +++ /dev/null @@ -1,420 +0,0 @@ -/********************************************************************** - * Copyright (c) 2017 Tomas van der Wansem * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef _SECP256K1_MODULE_MULTISET_TESTS_ -#define _SECP256K1_MODULE_MULTISET_TESTS_ - - -#include "include/secp256k1.h" -#include "include/secp256k1_multiset.h" -#include "util.h" -#include "testrand.h" - -#define DATALEN 64*3 -#define DATACOUNT 100 - - -#define CHECK_EQUAL(a,b) { \ - unsigned char hash1[32]; \ - unsigned char hash2[32]; \ - secp256k1_multiset_finalize(ctx, hash1, (a)); \ - secp256k1_multiset_finalize(ctx, hash2, (b)); \ - CHECK(memcmp(hash1,hash2,sizeof(hash1))==0); \ -} - -#define CHECK_NOTEQUAL(a,b) { \ - unsigned char hash1[32]; \ - unsigned char hash2[32]; \ - secp256k1_multiset_finalize(ctx, hash1, (a)); \ - secp256k1_multiset_finalize(ctx, hash2, (b)); \ - CHECK(memcmp(hash1,hash2,sizeof(hash1))!=0); \ -} - -static unsigned char elements[DATACOUNT][DATALEN]; - -/* Create random data */ -static void initdata(void) { - int n,m; - for(n=0; n < DATACOUNT; n++) { - for(m=0; m < DATALEN/4; m++) { - uint32_t x = secp256k1_rand32(); - memcpy(&elements[n][m], &x, sizeof(x)); - } - - } -} - -void test_unordered(void) { - - /* Check if multisets are uneffected by order */ - - secp256k1_multiset empty, r1,r2,r3; - - secp256k1_multiset_init(ctx, &empty); - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - secp256k1_multiset_add(ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[1], DATALEN); - - CHECK_NOTEQUAL(&r1,&r2); /* M(0,1)!=M() */ - - secp256k1_multiset_add(ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[0], DATALEN); - CHECK_EQUAL(&r1,&r2); /* M(0,1)==M(1,0) */ - - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - CHECK_EQUAL(&r1,&r2); /* M()==M() */ - - secp256k1_multiset_add(ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add(ctx, &r1, elements[2], DATALEN); - - secp256k1_multiset_add(ctx, &r2, elements[2], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[1], DATALEN); - - secp256k1_multiset_add(ctx, &r3, elements[1], DATALEN); - secp256k1_multiset_add(ctx, &r3, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r3, elements[2], DATALEN); - - CHECK_EQUAL(&r1,&r2); /* M(0,1,2)==M(2,0,1) */ - CHECK_EQUAL(&r1,&r3); /* M(0,1,2)==M(1,0,2) */ - - - secp256k1_multiset_combine(ctx, &r3, &empty); - CHECK_EQUAL(&r1,&r3); /* M(1,0,2)+M()=M(0,1,2) */ - - secp256k1_multiset_combine(ctx, &r3, &r2); - CHECK_NOTEQUAL(&r1,&r3); /* M(1,0,2)+M(0,1,2)!=M(0,1,2) */ - -} - -void test_combine(void) { - - /* Testing if combining is effectively the same as adding the elements */ - - secp256k1_multiset empty, r1,r2,r3; - secp256k1_gej gej_pos, gej_neg; - - secp256k1_multiset_init(ctx, &empty); - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - secp256k1_multiset_add(ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[1], DATALEN); - CHECK_NOTEQUAL(&r1,&r2); /* M(0) != M(1) */ - - secp256k1_multiset_add(ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[0], DATALEN); - CHECK_EQUAL(&r1,&r2); /* M(1,0) == M(0,1) */ - - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - CHECK_EQUAL(&r1,&r2); /* M() == M() */ - - secp256k1_multiset_add(ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add(ctx, &r1, elements[2], DATALEN); - - secp256k1_multiset_add(ctx, &r2, elements[2], DATALEN); - secp256k1_multiset_add(ctx, &r3, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r3, elements[1], DATALEN); - secp256k1_multiset_combine(ctx, &r2, &r3); - CHECK_EQUAL(&r1,&r2); /* M(0,1,2) == M(2)+M(0,1) */ - - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - secp256k1_multiset_add(ctx, &r2, elements[2], DATALEN); - secp256k1_multiset_add(ctx, &r2, elements[0], DATALEN); - secp256k1_multiset_add(ctx, &r3, elements[1], DATALEN); - secp256k1_multiset_combine(ctx, &r2, &r3); - CHECK_EQUAL(&r1,&r2); /* M(0,1,2) == M(2,0)+M(1) */ - - secp256k1_multiset_combine(ctx, &r2, &empty); - CHECK_EQUAL(&r1,&r2); /* M(0,1,2)+M() == M(0,1,2) */ - secp256k1_multiset_combine(ctx, &r2, &r1); - CHECK_NOTEQUAL(&r1,&r2); /* M(0,1,2)+M(0,1,2) != M(0,1,2) */ - - /* Combine multisets so that the combination representation is infinity */ - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - CHECK_EQUAL(&r1, &r2); /* M() == M() */ - - secp256k1_multiset_add(ctx, &r1, elements[0], DATALEN); - - gej_from_multiset_var(&gej_pos, &r1); - secp256k1_gej_neg(&gej_neg, &gej_pos); - secp256k1_fe_normalize(&gej_neg.x); - secp256k1_fe_normalize(&gej_neg.y); - secp256k1_fe_normalize(&gej_neg.z); - - multiset_from_gej_var(&r2, &gej_neg); - - /* This is equivalent to a removal due to multisets being associative */ - secp256k1_multiset_combine(ctx, &r1, &r2); - CHECK_EQUAL(&empty, &r1); /* M() == M(X)+M(-X) == M(X)-M(X) */ -} - - -void test_remove(void) { - - /* Testing removal of elements */ - secp256k1_multiset empty, r1,r2,r3; - - secp256k1_multiset_init(ctx, &empty); - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - /* _is_empty API test */ - CHECK(secp256k1_multiset_is_empty(ctx, &empty) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &r1) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &r2) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &r3) == 1); - - CHECK_EQUAL(&r1,&r2); /* M()==M() */ - - secp256k1_multiset_add (ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[3], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[9], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[8], DATALEN); - - secp256k1_multiset_add (ctx, &r2, elements[1], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[9], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[11], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[10], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[0], DATALEN); - secp256k1_multiset_remove(ctx, &r2, elements[10], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[3], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[8], DATALEN); - secp256k1_multiset_remove(ctx, &r2, elements[11], DATALEN); - - secp256k1_multiset_add (ctx, &r3, elements[9], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[15], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[15], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[1], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[9], DATALEN); - secp256k1_multiset_remove(ctx, &r3, elements[15], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[0], DATALEN); - secp256k1_multiset_remove(ctx, &r3, elements[15], DATALEN); - secp256k1_multiset_remove(ctx, &r3, elements[9], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[3], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[8], DATALEN); - - CHECK_EQUAL(&r1,&r2); /* M(0,1,3,9,8)==M(1,9,11,10,9,3,8)-M(10,11) */ - CHECK_EQUAL(&r1,&r3); /* M(0,1,3,9,8)==M(9,15,15,1,9,0,3,8)-M(15,15,9) */ - CHECK_NOTEQUAL(&r1,&empty); /* M(0,1,3,9,8)!=M() */ - - /* _is_empty API test */ - CHECK(secp256k1_multiset_is_empty(ctx, &r1) == 0); - CHECK(secp256k1_multiset_is_empty(ctx, &r2) == 0); - CHECK(secp256k1_multiset_is_empty(ctx, &r3) == 0); - - secp256k1_multiset_remove(ctx, &r3, elements[8], DATALEN); - CHECK_NOTEQUAL(&r1,&r3); /* M(0,1,3,9,8)-M(8)!=M(0,1,3,9,8) */ - - secp256k1_multiset_remove(ctx, &r2, elements[0], DATALEN); - secp256k1_multiset_remove(ctx, &r2, elements[9], DATALEN); - secp256k1_multiset_remove(ctx, &r2, elements[8], DATALEN); - secp256k1_multiset_remove(ctx, &r2, elements[1], DATALEN); - secp256k1_multiset_remove(ctx, &r2, elements[3], DATALEN); - - CHECK_EQUAL(&r2,&empty); /* M(0,1,3,9,8)-M(0,1,3,9,8)==M() */ - - /* _is_empty API test */ - CHECK(secp256k1_multiset_is_empty(ctx, &r1) == 0); - CHECK(secp256k1_multiset_is_empty(ctx, &r2) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &r3) == 0); -} - -void test_duplicate(void) { - - /* Test if the multiset properly handles duplicates */ - secp256k1_multiset empty, r1,r2,r3; - - secp256k1_multiset_init(ctx, &empty); - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - secp256k1_multiset_add (ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[1], DATALEN); - - secp256k1_multiset_add (ctx, &r2, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[1], DATALEN); - - CHECK_NOTEQUAL(&r1, &r2); /* M(0,0,1,1)!=M(0,1) */ - - secp256k1_multiset_add (ctx, &r2, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r2, elements[1], DATALEN); - CHECK_EQUAL(&r1, &r2); /* M(0,0,1,1)!=M(0,0,1,1) */ - - secp256k1_multiset_add (ctx, &r1, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r1, elements[1], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[0], DATALEN); - secp256k1_multiset_add (ctx, &r3, elements[1], DATALEN); - - secp256k1_multiset_combine(ctx, &r2, &r3); - CHECK_EQUAL(&r1, &r2); /* M(0,0,0,1,1,1)!=M(0,0,1,1)+M(0,1) */ -} - -void test_empty(void) { - - /* Test if empty set properties hold */ - - secp256k1_multiset empty, r1,r2; - - secp256k1_multiset_init(ctx, &empty); - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - - CHECK_EQUAL(&empty,&r1); /* M()==M() */ - - /* empty + empty = empty */ - secp256k1_multiset_combine(ctx, &r1, &r2); - CHECK_EQUAL(&empty, &r1); /* M()+M()==M() */ - - /* _is_empty API test */ - CHECK(secp256k1_multiset_is_empty(ctx, &empty) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &r1) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &r2) == 1); -} - -void test_testvector(void) { - /* Tests known values from the specification */ - - const unsigned char d1[113] = { - 0x98,0x20,0x51,0xfd,0x1e,0x4b,0xa7,0x44,0xbb,0xbe,0x68,0x0e,0x1f,0xee,0x14,0x67,0x7b,0xa1,0xa3,0xc3,0x54,0x0b,0xf7,0xb1,0xcd,0xb6,0x06,0xe8,0x57,0x23,0x3e,0x0e, - 0x00,0x00,0x00,0x00,0x03,0x00,0xf2,0x05,0x2a,0x01,0x00,0x00,0x00,0x43,0x41,0x04,0x96,0xb5,0x38,0xe8,0x53,0x51,0x9c,0x72,0x6a,0x2c,0x91,0xe6,0x1e,0xc1,0x16,0x00, - 0xae,0x13,0x90,0x81,0x3a,0x62,0x7c,0x66,0xfb,0x8b,0xe7,0x94,0x7b,0xe6,0x3c,0x52,0xda,0x75,0x89,0x37,0x95,0x15,0xd4,0xe0,0xa6,0x04,0xf8,0x14,0x17,0x81,0xe6,0x22, - 0x94,0x72,0x11,0x66,0xbf,0x62,0x1e,0x73,0xa8,0x2c,0xbf,0x23,0x42,0xc8,0x58,0xee,0xac }; - - const unsigned char d2[113] = { - 0xd5,0xfd,0xcc,0x54,0x1e,0x25,0xde,0x1c,0x7a,0x5a,0xdd,0xed,0xf2,0x48,0x58,0xb8,0xbb,0x66,0x5c,0x9f,0x36,0xef,0x74,0x4e,0xe4,0x2c,0x31,0x60,0x22,0xc9,0x0f,0x9b, - 0x00,0x00,0x00,0x00,0x05,0x00,0xf2,0x05,0x2a,0x01,0x00,0x00,0x00,0x43,0x41,0x04,0x72,0x11,0xa8,0x24,0xf5,0x5b,0x50,0x52,0x28,0xe4,0xc3,0xd5,0x19,0x4c,0x1f,0xcf, - 0xaa,0x15,0xa4,0x56,0xab,0xdf,0x37,0xf9,0xb9,0xd9,0x7a,0x40,0x40,0xaf,0xc0,0x73,0xde,0xe6,0xc8,0x90,0x64,0x98,0x4f,0x03,0x38,0x52,0x37,0xd9,0x21,0x67,0xc1,0x3e, - 0x23,0x64,0x46,0xb4,0x17,0xab,0x79,0xa0,0xfc,0xae,0x41,0x2a,0xe3,0x31,0x6b,0x77,0xac }; - - const unsigned char d3[113] = { - 0x44,0xf6,0x72,0x22,0x60,0x90,0xd8,0x5d,0xb9,0xa9,0xf2,0xfb,0xfe,0x5f,0x0f,0x96,0x09,0xb3,0x87,0xaf,0x7b,0xe5,0xb7,0xfb,0xb7,0xa1,0x76,0x7c,0x83,0x1c,0x9e,0x99, - 0x00,0x00,0x00,0x00,0x07,0x00,0xf2,0x05,0x2a,0x01,0x00,0x00,0x00,0x43,0x41,0x04,0x94,0xb9,0xd3,0xe7,0x6c,0x5b,0x16,0x29,0xec,0xf9,0x7f,0xff,0x95,0xd7,0xa4,0xbb, - 0xda,0xc8,0x7c,0xc2,0x60,0x99,0xad,0xa2,0x80,0x66,0xc6,0xff,0x1e,0xb9,0x19,0x12,0x23,0xcd,0x89,0x71,0x94,0xa0,0x8d,0x0c,0x27,0x26,0xc5,0x74,0x7f,0x1d,0xb4,0x9e, - 0x8c,0xf9,0x0e,0x75,0xdc,0x3e,0x35,0x50,0xae,0x9b,0x30,0x08,0x6f,0x3c,0xd5,0xaa,0xac }; - - /* Expected resulting multisets */ - const unsigned char exp_empty[32] = { 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 }; - const unsigned char exp_m1[32] = { 0x5e,0x29,0x49,0x84,0xc0,0xb6,0xff,0x1c,0x89,0x7b,0xdb,0xb6,0xf7,0xcf,0x3e,0xf8,0x01,0xe2,0xf1,0x3b,0xc7,0x34,0x28,0xaa,0xcd,0xf8,0xcb,0x8d,0x3b,0xd2,0xf0,0xe5 }; - const unsigned char exp_m2[32] = { 0x93,0x70,0x80,0xb6,0x6c,0x2b,0x37,0x2d,0x35,0x39,0x88,0xd6,0xc0,0x92,0x22,0x78,0x8f,0x88,0xa5,0x13,0x0a,0x13,0x32,0xeb,0xc1,0x49,0x5a,0xa3,0xa7,0xfa,0xb4,0xfb }; - const unsigned char exp_m3[32] = { 0xdd,0xbf,0x2f,0x18,0xaf,0xe0,0xaf,0xa8,0x87,0x28,0x57,0x93,0xa4,0x82,0xa0,0x7f,0xc2,0x2a,0x46,0x28,0x48,0x36,0x78,0x73,0xd7,0x9d,0x72,0xa7,0x33,0x0a,0x96,0x15 }; - const unsigned char exp_m1m2[32] = { 0x48,0x09,0x8f,0x4c,0xa9,0xbb,0x5d,0xac,0x27,0x3e,0x56,0x31,0x6d,0xb6,0x41,0x23,0x69,0xed,0x1f,0xa8,0xbe,0xb5,0x79,0x57,0x05,0x32,0xd1,0x63,0x47,0xfe,0xfc,0xcc }; - const unsigned char exp_m1m2m3[32] = { 0x47,0xfb,0xdf,0xf4,0x76,0x7c,0x32,0xa4,0xea,0x74,0xca,0x43,0x86,0x59,0x0f,0x62,0x22,0xee,0x83,0x96,0xb8,0xb4,0xf0,0x0e,0xf5,0x6e,0x9b,0x49,0x43,0xf4,0x24,0x93 }; - - unsigned char m0[32],m1[32],m2[32],m3[32],m1m2[32],m1m2m3[32]; - secp256k1_multiset r0,r1,r2,r3; - - secp256k1_multiset_init(ctx, &r0); - secp256k1_multiset_init(ctx, &r1); - secp256k1_multiset_init(ctx, &r2); - secp256k1_multiset_init(ctx, &r3); - - secp256k1_multiset_add (ctx, &r1, d1, sizeof(d1)); - secp256k1_multiset_add (ctx, &r2, d2, sizeof(d2)); - secp256k1_multiset_add (ctx, &r3, d3, sizeof(d3)); - - secp256k1_multiset_finalize(ctx, m0, &r0); - secp256k1_multiset_finalize(ctx, m1, &r1); - secp256k1_multiset_finalize(ctx, m2, &r2); - secp256k1_multiset_finalize(ctx, m3, &r3); - - secp256k1_multiset_combine(ctx, &r1, &r2); - secp256k1_multiset_finalize(ctx, m1m2, &r1); - - secp256k1_multiset_combine(ctx, &r1, &r3); - secp256k1_multiset_finalize(ctx, m1m2m3, &r1); - - CHECK(memcmp(m0,exp_empty,32)==0); - CHECK(memcmp(m1,exp_m1,32)==0); - CHECK(memcmp(m2,exp_m2,32)==0); - CHECK(memcmp(m3,exp_m3,32)==0); - CHECK(memcmp(m1m2,exp_m1m2,32)==0); - CHECK(memcmp(m1m2m3,exp_m1m2m3,32)==0); -} - -void test_serialize(void) { - int i; - secp256k1_multiset ms, empty; - unsigned char ser[33]; - secp256k1_multiset deser; - unsigned char invalid_ser1[33] = {0x5, 0x1}, - invalid_ser2[33] = {0x4, 0x1}, - empty_ser[33] = {0x0}, - empty_ser2[33] = {0x0, 0x1, 0x2, 0x3, 0x4}; - - secp256k1_multiset_init(ctx, &ms); - secp256k1_multiset_init(ctx, &empty); - - for (i = 0; i < DATACOUNT; ++i) { - /* Check that serialization round-trip yields the same multiset. First iteration checks empty set. */ - CHECK(secp256k1_multiset_serialize(ctx, ser, &ms) == 1); - CHECK(secp256k1_multiset_parse(ctx, &deser, ser) == 1); - CHECK_EQUAL(&ms, &deser); - - /* Add 1 more item to the set */ - CHECK(secp256k1_multiset_add(ctx, &ms, elements[i], DATALEN) == 1); - } - - /* Do the above in reverse, removing elements and then checking the results ser/deser back ok */ - for (i = DATACOUNT; i >= -1; --i) { - /* Check that serialization round-trip yields the same multiset. First iteration checks full set. */ - CHECK(secp256k1_multiset_serialize(ctx, ser, &ms) == 1); - CHECK(secp256k1_multiset_parse(ctx, &deser, ser) == 1); - CHECK_EQUAL(&ms, &deser); - - if (i < DATACOUNT && i >= 0) { - /* Remove 1 more item from the set */ - CHECK(secp256k1_multiset_remove(ctx, &ms, elements[i], DATALEN) == 1); - } - /* On i=0 the set should now be empty, but we iterate 1 more time to check its ser -> deser symmetry */ - if (i >= 0) CHECK(secp256k1_multiset_is_empty(ctx, &ms) == (i == 0 ? 1 : 0)); - } - - /* Invalid pubkey encodings should yield an error */ - CHECK(secp256k1_multiset_parse(ctx, &deser, invalid_ser1) == 0); - CHECK(secp256k1_multiset_parse(ctx, &deser, invalid_ser2) == 0); - /* Check that all 0's does work and yields an empty set */ - CHECK(secp256k1_multiset_parse(ctx, &deser, empty_ser) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &deser) == 1); - CHECK_EQUAL(&empty, &deser); - /* Check that buffer with prefix 0 but nonzero after that works and also defines an empty set */ - CHECK(secp256k1_multiset_parse(ctx, &deser, empty_ser2) == 1); - CHECK(secp256k1_multiset_is_empty(ctx, &deser) == 1); - CHECK_EQUAL(&empty, &deser); -} - -void run_multiset_tests(void) { - - initdata(); - test_unordered(); - test_combine(); - test_remove(); - test_empty(); - test_duplicate(); - test_testvector(); - test_serialize(); -} - -#endif /* _SECP256K1_MODULE_MULTISET_TESTS_ */ diff --git a/src/secp256k1/src/modules/musig/Makefile.am.include b/src/secp256k1/src/modules/musig/Makefile.am.include new file mode 100644 index 00000000..796443c9 --- /dev/null +++ b/src/secp256k1/src/modules/musig/Makefile.am.include @@ -0,0 +1,8 @@ +include_HEADERS += include/secp256k1_musig.h +noinst_HEADERS += src/modules/musig/main_impl.h +noinst_HEADERS += src/modules/musig/keyagg.h +noinst_HEADERS += src/modules/musig/keyagg_impl.h +noinst_HEADERS += src/modules/musig/session.h +noinst_HEADERS += src/modules/musig/session_impl.h +noinst_HEADERS += src/modules/musig/tests_impl.h +noinst_HEADERS += src/modules/musig/vectors.h diff --git a/src/secp256k1/src/modules/musig/keyagg.h b/src/secp256k1/src/modules/musig/keyagg.h new file mode 100644 index 00000000..a0b37252 --- /dev/null +++ b/src/secp256k1/src/modules/musig/keyagg.h @@ -0,0 +1,32 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_KEYAGG_H +#define SECP256K1_MODULE_MUSIG_KEYAGG_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_musig.h" + +#include "../../group.h" +#include "../../scalar.h" + +typedef struct { + secp256k1_ge pk; + /* If there is no "second" public key, second_pk is set to the point at + * infinity */ + secp256k1_ge second_pk; + unsigned char pks_hash[32]; + /* tweak is identical to value tacc[v] in the specification. */ + secp256k1_scalar tweak; + /* parity_acc corresponds to (1 - gacc[v])/2 in the spec. So if gacc[v] is + * -1, parity_acc is 1. Otherwise, parity_acc is 0. */ + int parity_acc; +} secp256k1_keyagg_cache_internal; + +static int secp256k1_keyagg_cache_load(const secp256k1_context* ctx, secp256k1_keyagg_cache_internal *cache_i, const secp256k1_musig_keyagg_cache *cache); + +static void secp256k1_musig_keyaggcoef(secp256k1_scalar *r, const secp256k1_keyagg_cache_internal *cache_i, secp256k1_ge *pk); + +#endif diff --git a/src/secp256k1/src/modules/musig/keyagg_impl.h b/src/secp256k1/src/modules/musig/keyagg_impl.h new file mode 100644 index 00000000..0db4fce8 --- /dev/null +++ b/src/secp256k1/src/modules/musig/keyagg_impl.h @@ -0,0 +1,291 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_KEYAGG_IMPL_H +#define SECP256K1_MODULE_MUSIG_KEYAGG_IMPL_H + +#include + +#include "keyagg.h" +#include "../../eckey.h" +#include "../../ecmult.h" +#include "../../field.h" +#include "../../group.h" +#include "../../hash.h" +#include "../../util.h" + +static const unsigned char secp256k1_musig_keyagg_cache_magic[4] = { 0xf4, 0xad, 0xbb, 0xdf }; + +/* A keyagg cache consists of + * - 4 byte magic set during initialization to allow detecting an uninitialized + * object. + * - 64 byte aggregate (and potentially tweaked) public key + * - 64 byte "second" public key (set to the point at infinity if not present) + * - 32 byte hash of all public keys + * - 1 byte the parity of the internal key (if tweaked, otherwise 0) + * - 32 byte tweak + */ +/* Requires that cache_i->pk is not infinity. */ +static void secp256k1_keyagg_cache_save(secp256k1_musig_keyagg_cache *cache, const secp256k1_keyagg_cache_internal *cache_i) { + unsigned char *ptr = cache->data; + memcpy(ptr, secp256k1_musig_keyagg_cache_magic, 4); + ptr += 4; + secp256k1_ge_to_bytes(ptr, &cache_i->pk); + ptr += 64; + secp256k1_ge_to_bytes_ext(ptr, &cache_i->second_pk); + ptr += 64; + memcpy(ptr, cache_i->pks_hash, 32); + ptr += 32; + *ptr = cache_i->parity_acc; + ptr += 1; + secp256k1_scalar_get_b32(ptr, &cache_i->tweak); +} + +static int secp256k1_keyagg_cache_load(const secp256k1_context* ctx, secp256k1_keyagg_cache_internal *cache_i, const secp256k1_musig_keyagg_cache *cache) { + const unsigned char *ptr = cache->data; + ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_keyagg_cache_magic, 4) == 0); + ptr += 4; + secp256k1_ge_from_bytes(&cache_i->pk, ptr); + ptr += 64; + secp256k1_ge_from_bytes_ext(&cache_i->second_pk, ptr); + ptr += 64; + memcpy(cache_i->pks_hash, ptr, 32); + ptr += 32; + cache_i->parity_acc = *ptr & 1; + ptr += 1; + secp256k1_scalar_set_b32(&cache_i->tweak, ptr, NULL); + return 1; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("KeyAgg list")||SHA256("KeyAgg list"). */ +static void secp256k1_musig_keyagglist_sha256(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + + sha->s[0] = 0xb399d5e0ul; + sha->s[1] = 0xc8fff302ul; + sha->s[2] = 0x6badac71ul; + sha->s[3] = 0x07c5b7f1ul; + sha->s[4] = 0x9701e2eful; + sha->s[5] = 0x2a72ecf8ul; + sha->s[6] = 0x201a4c7bul; + sha->s[7] = 0xab148a38ul; + sha->bytes = 64; +} + +/* Computes pks_hash = tagged_hash(pk[0], ..., pk[np-1]) */ +static int secp256k1_musig_compute_pks_hash(const secp256k1_context *ctx, unsigned char *pks_hash, const secp256k1_pubkey * const* pks, size_t np) { + secp256k1_sha256 sha; + size_t i; + + secp256k1_musig_keyagglist_sha256(&sha); + for (i = 0; i < np; i++) { + unsigned char ser[33]; + size_t ser_len = sizeof(ser); + if (!secp256k1_ec_pubkey_serialize(ctx, ser, &ser_len, pks[i], SECP256K1_EC_COMPRESSED)) { + return 0; + } + VERIFY_CHECK(ser_len == sizeof(ser)); + secp256k1_sha256_write(&sha, ser, sizeof(ser)); + } + secp256k1_sha256_finalize(&sha, pks_hash); + return 1; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("KeyAgg coefficient")||SHA256("KeyAgg coefficient"). */ +static void secp256k1_musig_keyaggcoef_sha256(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + + sha->s[0] = 0x6ef02c5aul; + sha->s[1] = 0x06a480deul; + sha->s[2] = 0x1f298665ul; + sha->s[3] = 0x1d1134f2ul; + sha->s[4] = 0x56a0b063ul; + sha->s[5] = 0x52da4147ul; + sha->s[6] = 0xf280d9d4ul; + sha->s[7] = 0x4484be15ul; + sha->bytes = 64; +} + +/* Compute KeyAgg coefficient which is constant 1 for the second pubkey and + * otherwise tagged_hash(pks_hash, pk) where pks_hash is the hash of public keys. + * second_pk is the point at infinity in case there is no second_pk. Assumes + * that pk is not the point at infinity and that the Y-coordinates of pk and + * second_pk are normalized. */ +static void secp256k1_musig_keyaggcoef_internal(secp256k1_scalar *r, const unsigned char *pks_hash, secp256k1_ge *pk, const secp256k1_ge *second_pk) { + VERIFY_CHECK(!secp256k1_ge_is_infinity(pk)); + + if (!secp256k1_ge_is_infinity(second_pk) + && secp256k1_ge_eq_var(pk, second_pk)) { + secp256k1_scalar_set_int(r, 1); + } else { + secp256k1_sha256 sha; + unsigned char buf[33]; + size_t buflen = sizeof(buf); + int ret; + secp256k1_musig_keyaggcoef_sha256(&sha); + secp256k1_sha256_write(&sha, pks_hash, 32); + ret = secp256k1_eckey_pubkey_serialize(pk, buf, &buflen, 1); +#ifdef VERIFY + /* Serialization does not fail since the pk is not the point at infinity + * (according to this function's precondition). */ + VERIFY_CHECK(ret && buflen == sizeof(buf)); +#else + (void) ret; +#endif + secp256k1_sha256_write(&sha, buf, sizeof(buf)); + secp256k1_sha256_finalize(&sha, buf); + secp256k1_scalar_set_b32(r, buf, NULL); + } +} + +/* Assumes that pk is not the point at infinity and that the Y-coordinates of pk + * and cache_i->second_pk are normalized. */ +static void secp256k1_musig_keyaggcoef(secp256k1_scalar *r, const secp256k1_keyagg_cache_internal *cache_i, secp256k1_ge *pk) { + secp256k1_musig_keyaggcoef_internal(r, cache_i->pks_hash, pk, &cache_i->second_pk); +} + +typedef struct { + const secp256k1_context *ctx; + /* pks_hash is the hash of the public keys */ + unsigned char pks_hash[32]; + const secp256k1_pubkey * const* pks; + secp256k1_ge second_pk; +} secp256k1_musig_pubkey_agg_ecmult_data; + +/* Callback for batch EC multiplication to compute keyaggcoef_0*P0 + keyaggcoef_1*P1 + ... */ +static int secp256k1_musig_pubkey_agg_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data) { + secp256k1_musig_pubkey_agg_ecmult_data *ctx = (secp256k1_musig_pubkey_agg_ecmult_data *) data; + int ret; + ret = secp256k1_pubkey_load(ctx->ctx, pt, ctx->pks[idx]); +#ifdef VERIFY + /* pubkey_load can't fail because the same pks have already been loaded in + * `musig_compute_pks_hash` (and we test this). */ + VERIFY_CHECK(ret); +#else + (void) ret; +#endif + secp256k1_musig_keyaggcoef_internal(sc, ctx->pks_hash, pt, &ctx->second_pk); + return 1; +} + +int secp256k1_musig_pubkey_agg(const secp256k1_context* ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_pubkey * const* pubkeys, size_t n_pubkeys) { + secp256k1_musig_pubkey_agg_ecmult_data ecmult_data; + secp256k1_gej pkj; + secp256k1_ge pkp; + size_t i; + + VERIFY_CHECK(ctx != NULL); + if (agg_pk != NULL) { + memset(agg_pk, 0, sizeof(*agg_pk)); + } + ARG_CHECK(pubkeys != NULL); + ARG_CHECK(n_pubkeys > 0); + + ecmult_data.ctx = ctx; + ecmult_data.pks = pubkeys; + + secp256k1_ge_set_infinity(&ecmult_data.second_pk); + for (i = 1; i < n_pubkeys; i++) { + if (secp256k1_memcmp_var(pubkeys[0], pubkeys[i], sizeof(*pubkeys[0])) != 0) { + secp256k1_ge pk; + if (!secp256k1_pubkey_load(ctx, &pk, pubkeys[i])) { + return 0; + } + ecmult_data.second_pk = pk; + break; + } + } + + if (!secp256k1_musig_compute_pks_hash(ctx, ecmult_data.pks_hash, pubkeys, n_pubkeys)) { + return 0; + } + /* TODO: actually use optimized ecmult_multi algorithms by providing a + * scratch space */ + if (!secp256k1_ecmult_multi_var(&ctx->error_callback, NULL, &pkj, NULL, secp256k1_musig_pubkey_agg_callback, (void *) &ecmult_data, n_pubkeys)) { + /* In order to reach this line with the current implementation of + * ecmult_multi_var one would need to provide a callback that can + * fail. */ + return 0; + } + secp256k1_ge_set_gej(&pkp, &pkj); + secp256k1_fe_normalize_var(&pkp.y); + /* The resulting public key is infinity with negligible probability */ + VERIFY_CHECK(!secp256k1_ge_is_infinity(&pkp)); + if (keyagg_cache != NULL) { + secp256k1_keyagg_cache_internal cache_i = { 0 }; + cache_i.pk = pkp; + cache_i.second_pk = ecmult_data.second_pk; + memcpy(cache_i.pks_hash, ecmult_data.pks_hash, sizeof(cache_i.pks_hash)); + secp256k1_keyagg_cache_save(keyagg_cache, &cache_i); + } + + if (agg_pk != NULL) { + secp256k1_extrakeys_ge_even_y(&pkp); + secp256k1_xonly_pubkey_save(agg_pk, &pkp); + } + return 1; +} + +int secp256k1_musig_pubkey_get(const secp256k1_context* ctx, secp256k1_pubkey *agg_pk, const secp256k1_musig_keyagg_cache *keyagg_cache) { + secp256k1_keyagg_cache_internal cache_i; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(agg_pk != NULL); + memset(agg_pk, 0, sizeof(*agg_pk)); + ARG_CHECK(keyagg_cache != NULL); + + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + secp256k1_pubkey_save(agg_pk, &cache_i.pk); + return 1; +} + +static int secp256k1_musig_pubkey_tweak_add_internal(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32, int xonly) { + secp256k1_keyagg_cache_internal cache_i; + int overflow = 0; + secp256k1_scalar tweak; + + VERIFY_CHECK(ctx != NULL); + if (output_pubkey != NULL) { + memset(output_pubkey, 0, sizeof(*output_pubkey)); + } + ARG_CHECK(keyagg_cache != NULL); + ARG_CHECK(tweak32 != NULL); + + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + secp256k1_scalar_set_b32(&tweak, tweak32, &overflow); + if (overflow) { + return 0; + } + if (xonly && secp256k1_extrakeys_ge_even_y(&cache_i.pk)) { + cache_i.parity_acc ^= 1; + secp256k1_scalar_negate(&cache_i.tweak, &cache_i.tweak); + } + secp256k1_scalar_add(&cache_i.tweak, &cache_i.tweak, &tweak); + if (!secp256k1_eckey_pubkey_tweak_add(&cache_i.pk, &tweak)) { + return 0; + } + /* eckey_pubkey_tweak_add fails if cache_i.pk is infinity */ + VERIFY_CHECK(!secp256k1_ge_is_infinity(&cache_i.pk)); + secp256k1_keyagg_cache_save(keyagg_cache, &cache_i); + if (output_pubkey != NULL) { + secp256k1_pubkey_save(output_pubkey, &cache_i.pk); + } + return 1; +} + +int secp256k1_musig_pubkey_ec_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) { + return secp256k1_musig_pubkey_tweak_add_internal(ctx, output_pubkey, keyagg_cache, tweak32, 0); +} + +int secp256k1_musig_pubkey_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) { + return secp256k1_musig_pubkey_tweak_add_internal(ctx, output_pubkey, keyagg_cache, tweak32, 1); +} + +#endif diff --git a/src/secp256k1/src/modules/musig/main_impl.h b/src/secp256k1/src/modules/musig/main_impl.h new file mode 100644 index 00000000..a1311e41 --- /dev/null +++ b/src/secp256k1/src/modules/musig/main_impl.h @@ -0,0 +1,12 @@ +/********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_MAIN_H +#define SECP256K1_MODULE_MUSIG_MAIN_H + +#include "keyagg_impl.h" +#include "session_impl.h" + +#endif diff --git a/src/secp256k1/src/modules/musig/session.h b/src/secp256k1/src/modules/musig/session.h new file mode 100644 index 00000000..d6d76bc6 --- /dev/null +++ b/src/secp256k1/src/modules/musig/session.h @@ -0,0 +1,24 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_SESSION_H +#define SECP256K1_MODULE_MUSIG_SESSION_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_musig.h" + +#include "../../scalar.h" + +typedef struct { + int fin_nonce_parity; + unsigned char fin_nonce[32]; + secp256k1_scalar noncecoef; + secp256k1_scalar challenge; + secp256k1_scalar s_part; +} secp256k1_musig_session_internal; + +static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session); + +#endif diff --git a/src/secp256k1/src/modules/musig/session_impl.h b/src/secp256k1/src/modules/musig/session_impl.h new file mode 100644 index 00000000..dde38085 --- /dev/null +++ b/src/secp256k1/src/modules/musig/session_impl.h @@ -0,0 +1,816 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_SESSION_IMPL_H +#define SECP256K1_MODULE_MUSIG_SESSION_IMPL_H + +#include + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_extrakeys.h" +#include "../../../include/secp256k1_musig.h" + +#include "keyagg.h" +#include "session.h" +#include "../../eckey.h" +#include "../../hash.h" +#include "../../scalar.h" +#include "../../util.h" + +/* Outputs 33 zero bytes if the given group element is the point at infinity and + * otherwise outputs the compressed serialization */ +static void secp256k1_musig_ge_serialize_ext(unsigned char *out33, secp256k1_ge* ge) { + if (secp256k1_ge_is_infinity(ge)) { + memset(out33, 0, 33); + } else { + int ret; + size_t size = 33; + ret = secp256k1_eckey_pubkey_serialize(ge, out33, &size, 1); +#ifdef VERIFY + /* Serialize must succeed because the point is not at infinity */ + VERIFY_CHECK(ret && size == 33); +#else + (void) ret; +#endif + } +} + +/* Outputs the point at infinity if the given byte array is all zero, otherwise + * attempts to parse compressed point serialization. */ +static int secp256k1_musig_ge_parse_ext(secp256k1_ge* ge, const unsigned char *in33) { + unsigned char zeros[33] = { 0 }; + + if (secp256k1_memcmp_var(in33, zeros, sizeof(zeros)) == 0) { + secp256k1_ge_set_infinity(ge); + return 1; + } + if (!secp256k1_eckey_pubkey_parse(ge, in33, 33)) { + return 0; + } + return secp256k1_ge_is_in_correct_subgroup(ge); +} + +static const unsigned char secp256k1_musig_secnonce_magic[4] = { 0x22, 0x0e, 0xdc, 0xf1 }; + +static void secp256k1_musig_secnonce_save(secp256k1_musig_secnonce *secnonce, const secp256k1_scalar *k, const secp256k1_ge *pk) { + memcpy(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4); + secp256k1_scalar_get_b32(&secnonce->data[4], &k[0]); + secp256k1_scalar_get_b32(&secnonce->data[36], &k[1]); + secp256k1_ge_to_bytes(&secnonce->data[68], pk); +} + +static int secp256k1_musig_secnonce_load(const secp256k1_context* ctx, secp256k1_scalar *k, secp256k1_ge *pk, const secp256k1_musig_secnonce *secnonce) { + int is_zero; + ARG_CHECK(secp256k1_memcmp_var(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4) == 0); + /* We make very sure that the nonce isn't invalidated by checking the values + * in addition to the magic. */ + is_zero = secp256k1_is_zero_array(&secnonce->data[4], 2 * 32); + secp256k1_declassify(ctx, &is_zero, sizeof(is_zero)); + ARG_CHECK(!is_zero); + + secp256k1_scalar_set_b32(&k[0], &secnonce->data[4], NULL); + secp256k1_scalar_set_b32(&k[1], &secnonce->data[36], NULL); + secp256k1_ge_from_bytes(pk, &secnonce->data[68]); + return 1; +} + +/* If flag is true, invalidate the secnonce; otherwise leave it. Constant-time. */ +static void secp256k1_musig_secnonce_invalidate(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, int flag) { + secp256k1_memczero(secnonce->data, sizeof(secnonce->data), flag); + /* The flag argument is usually classified. So, the line above makes the + * magic and public key classified. However, we need both to be + * declassified. Note that we don't declassify the entire object, because if + * flag is 0, then k[0] and k[1] have not been zeroed. */ + secp256k1_declassify(ctx, secnonce->data, sizeof(secp256k1_musig_secnonce_magic)); + secp256k1_declassify(ctx, &secnonce->data[68], 64); +} + +static const unsigned char secp256k1_musig_pubnonce_magic[4] = { 0xf5, 0x7a, 0x3d, 0xa0 }; + +/* Saves two group elements into a pubnonce. Requires that none of the provided + * group elements is infinity. */ +static void secp256k1_musig_pubnonce_save(secp256k1_musig_pubnonce* nonce, const secp256k1_ge* ges) { + int i; + memcpy(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4); + for (i = 0; i < 2; i++) { + secp256k1_ge_to_bytes(nonce->data + 4+64*i, &ges[i]); + } +} + +/* Loads two group elements from a pubnonce. Returns 1 unless the nonce wasn't + * properly initialized */ +static int secp256k1_musig_pubnonce_load(const secp256k1_context* ctx, secp256k1_ge* ges, const secp256k1_musig_pubnonce* nonce) { + int i; + + ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4) == 0); + for (i = 0; i < 2; i++) { + secp256k1_ge_from_bytes(&ges[i], nonce->data + 4 + 64*i); + } + return 1; +} + +static const unsigned char secp256k1_musig_aggnonce_magic[4] = { 0xa8, 0xb7, 0xe4, 0x67 }; + +static void secp256k1_musig_aggnonce_save(secp256k1_musig_aggnonce* nonce, const secp256k1_ge* ges) { + int i; + memcpy(&nonce->data[0], secp256k1_musig_aggnonce_magic, 4); + for (i = 0; i < 2; i++) { + secp256k1_ge_to_bytes_ext(&nonce->data[4 + 64*i], &ges[i]); + } +} + +static int secp256k1_musig_aggnonce_load(const secp256k1_context* ctx, secp256k1_ge* ges, const secp256k1_musig_aggnonce* nonce) { + int i; + + ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_aggnonce_magic, 4) == 0); + for (i = 0; i < 2; i++) { + secp256k1_ge_from_bytes_ext(&ges[i], &nonce->data[4 + 64*i]); + } + return 1; +} + +static const unsigned char secp256k1_musig_session_cache_magic[4] = { 0x9d, 0xed, 0xe9, 0x17 }; + +/* A session consists of + * - 4 byte session cache magic + * - 1 byte the parity of the final nonce + * - 32 byte serialized x-only final nonce + * - 32 byte nonce coefficient b + * - 32 byte signature challenge hash e + * - 32 byte scalar s that is added to the partial signatures of the signers + */ +static void secp256k1_musig_session_save(secp256k1_musig_session *session, const secp256k1_musig_session_internal *session_i) { + unsigned char *ptr = session->data; + + memcpy(ptr, secp256k1_musig_session_cache_magic, 4); + ptr += 4; + *ptr = session_i->fin_nonce_parity; + ptr += 1; + memcpy(ptr, session_i->fin_nonce, 32); + ptr += 32; + secp256k1_scalar_get_b32(ptr, &session_i->noncecoef); + ptr += 32; + secp256k1_scalar_get_b32(ptr, &session_i->challenge); + ptr += 32; + secp256k1_scalar_get_b32(ptr, &session_i->s_part); +} + +static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session) { + const unsigned char *ptr = session->data; + + ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_session_cache_magic, 4) == 0); + ptr += 4; + session_i->fin_nonce_parity = *ptr; + ptr += 1; + memcpy(session_i->fin_nonce, ptr, 32); + ptr += 32; + secp256k1_scalar_set_b32(&session_i->noncecoef, ptr, NULL); + ptr += 32; + secp256k1_scalar_set_b32(&session_i->challenge, ptr, NULL); + ptr += 32; + secp256k1_scalar_set_b32(&session_i->s_part, ptr, NULL); + return 1; +} + +static const unsigned char secp256k1_musig_partial_sig_magic[4] = { 0xeb, 0xfb, 0x1a, 0x32 }; + +static void secp256k1_musig_partial_sig_save(secp256k1_musig_partial_sig* sig, secp256k1_scalar *s) { + memcpy(&sig->data[0], secp256k1_musig_partial_sig_magic, 4); + secp256k1_scalar_get_b32(&sig->data[4], s); +} + +static int secp256k1_musig_partial_sig_load(const secp256k1_context* ctx, secp256k1_scalar *s, const secp256k1_musig_partial_sig* sig) { + int overflow; + + ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0); + secp256k1_scalar_set_b32(s, &sig->data[4], &overflow); + /* Parsed signatures can not overflow */ + VERIFY_CHECK(!overflow); + return 1; +} + +int secp256k1_musig_pubnonce_parse(const secp256k1_context* ctx, secp256k1_musig_pubnonce* nonce, const unsigned char *in66) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(nonce != NULL); + ARG_CHECK(in66 != NULL); + + for (i = 0; i < 2; i++) { + if (!secp256k1_eckey_pubkey_parse(&ges[i], &in66[33*i], 33)) { + return 0; + } + if (!secp256k1_ge_is_in_correct_subgroup(&ges[i])) { + return 0; + } + } + secp256k1_musig_pubnonce_save(nonce, ges); + return 1; +} + +int secp256k1_musig_pubnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_pubnonce* nonce) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(out66 != NULL); + memset(out66, 0, 66); + ARG_CHECK(nonce != NULL); + + if (!secp256k1_musig_pubnonce_load(ctx, ges, nonce)) { + return 0; + } + for (i = 0; i < 2; i++) { + int ret; + size_t size = 33; + ret = secp256k1_eckey_pubkey_serialize(&ges[i], &out66[33*i], &size, 1); +#ifdef VERIFY + /* serialize must succeed because the point was just loaded */ + VERIFY_CHECK(ret && size == 33); +#else + (void) ret; +#endif + } + return 1; +} + +int secp256k1_musig_aggnonce_parse(const secp256k1_context* ctx, secp256k1_musig_aggnonce* nonce, const unsigned char *in66) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(nonce != NULL); + ARG_CHECK(in66 != NULL); + + for (i = 0; i < 2; i++) { + if (!secp256k1_musig_ge_parse_ext(&ges[i], &in66[33*i])) { + return 0; + } + } + secp256k1_musig_aggnonce_save(nonce, ges); + return 1; +} + +int secp256k1_musig_aggnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_aggnonce* nonce) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(out66 != NULL); + memset(out66, 0, 66); + ARG_CHECK(nonce != NULL); + + if (!secp256k1_musig_aggnonce_load(ctx, ges, nonce)) { + return 0; + } + for (i = 0; i < 2; i++) { + secp256k1_musig_ge_serialize_ext(&out66[33*i], &ges[i]); + } + return 1; +} + +int secp256k1_musig_partial_sig_parse(const secp256k1_context* ctx, secp256k1_musig_partial_sig* sig, const unsigned char *in32) { + secp256k1_scalar tmp; + int overflow; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(in32 != NULL); + + /* Ensure that using the signature will fail if parsing fails (and the user + * doesn't check the return value). */ + memset(sig, 0, sizeof(*sig)); + + secp256k1_scalar_set_b32(&tmp, in32, &overflow); + if (overflow) { + return 0; + } + secp256k1_musig_partial_sig_save(sig, &tmp); + return 1; +} + +int secp256k1_musig_partial_sig_serialize(const secp256k1_context* ctx, unsigned char *out32, const secp256k1_musig_partial_sig* sig) { + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(out32 != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0); + + memcpy(out32, &sig->data[4], 32); + return 1; +} + +/* Write optional inputs into the hash */ +static void secp256k1_nonce_function_musig_helper(secp256k1_sha256 *sha, unsigned int prefix_size, const unsigned char *data, unsigned char len) { + unsigned char zero[7] = { 0 }; + /* The spec requires length prefixes to be between 1 and 8 bytes + * (inclusive) */ + VERIFY_CHECK(prefix_size >= 1 && prefix_size <= 8); + /* Since the length of all input data fits in a byte, we can always pad the + * length prefix with prefix_size - 1 zero bytes. */ + secp256k1_sha256_write(sha, zero, prefix_size - 1); + if (data != NULL) { + secp256k1_sha256_write(sha, &len, 1); + secp256k1_sha256_write(sha, data, len); + } else { + len = 0; + secp256k1_sha256_write(sha, &len, 1); + } +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("MuSig/aux")||SHA256("MuSig/aux"). */ +static void secp256k1_nonce_function_musig_sha256_tagged_aux(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0xa19e884bul; + sha->s[1] = 0xf463fe7eul; + sha->s[2] = 0x2f18f9a2ul; + sha->s[3] = 0xbeb0f9fful; + sha->s[4] = 0x0f37e8b0ul; + sha->s[5] = 0x06ebd26ful; + sha->s[6] = 0xe3b243d2ul; + sha->s[7] = 0x522fb150ul; + sha->bytes = 64; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("MuSig/nonce")||SHA256("MuSig/nonce"). */ +static void secp256k1_nonce_function_musig_sha256_tagged(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x07101b64ul; + sha->s[1] = 0x18003414ul; + sha->s[2] = 0x0391bc43ul; + sha->s[3] = 0x0e6258eeul; + sha->s[4] = 0x29d26b72ul; + sha->s[5] = 0x8343937eul; + sha->s[6] = 0xb7a0a4fbul; + sha->s[7] = 0xff568a30ul; + sha->bytes = 64; +} + +static void secp256k1_nonce_function_musig(secp256k1_scalar *k, const unsigned char *session_secrand, const unsigned char *msg32, const unsigned char *seckey32, const unsigned char *pk33, const unsigned char *agg_pk32, const unsigned char *extra_input32) { + secp256k1_sha256 sha; + unsigned char rand[32]; + unsigned char i; + unsigned char msg_present; + + if (seckey32 != NULL) { + secp256k1_nonce_function_musig_sha256_tagged_aux(&sha); + secp256k1_sha256_write(&sha, session_secrand, 32); + secp256k1_sha256_finalize(&sha, rand); + for (i = 0; i < 32; i++) { + rand[i] ^= seckey32[i]; + } + } else { + memcpy(rand, session_secrand, sizeof(rand)); + } + + secp256k1_nonce_function_musig_sha256_tagged(&sha); + secp256k1_sha256_write(&sha, rand, sizeof(rand)); + secp256k1_nonce_function_musig_helper(&sha, 1, pk33, 33); + secp256k1_nonce_function_musig_helper(&sha, 1, agg_pk32, 32); + msg_present = msg32 != NULL; + secp256k1_sha256_write(&sha, &msg_present, 1); + if (msg_present) { + secp256k1_nonce_function_musig_helper(&sha, 8, msg32, 32); + } + secp256k1_nonce_function_musig_helper(&sha, 4, extra_input32, 32); + + for (i = 0; i < 2; i++) { + unsigned char buf[32]; + secp256k1_sha256 sha_tmp = sha; + secp256k1_sha256_write(&sha_tmp, &i, 1); + secp256k1_sha256_finalize(&sha_tmp, buf); + secp256k1_scalar_set_b32(&k[i], buf, NULL); + + /* Attempt to erase secret data */ + secp256k1_memclear(buf, sizeof(buf)); + secp256k1_sha256_clear(&sha_tmp); + } + secp256k1_memclear(rand, sizeof(rand)); + secp256k1_sha256_clear(&sha); +} + +static int secp256k1_musig_nonce_gen_internal(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, const unsigned char *input_nonce, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) { + secp256k1_scalar k[2]; + secp256k1_ge nonce_pts[2]; + int i; + unsigned char pk_ser[33]; + size_t pk_ser_len = sizeof(pk_ser); + unsigned char aggpk_ser[32]; + unsigned char *aggpk_ser_ptr = NULL; + secp256k1_ge pk; + int pk_serialize_success; + int ret = 1; + + ARG_CHECK(pubnonce != NULL); + memset(pubnonce, 0, sizeof(*pubnonce)); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + + /* Check that the seckey is valid to be able to sign for it later. */ + if (seckey != NULL) { + secp256k1_scalar sk; + ret &= secp256k1_scalar_set_b32_seckey(&sk, seckey); + secp256k1_scalar_clear(&sk); + } + + if (keyagg_cache != NULL) { + secp256k1_keyagg_cache_internal cache_i; + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + /* The loaded point cache_i.pk can not be the point at infinity. */ + secp256k1_fe_get_b32(aggpk_ser, &cache_i.pk.x); + aggpk_ser_ptr = aggpk_ser; + } + if (!secp256k1_pubkey_load(ctx, &pk, pubkey)) { + return 0; + } + pk_serialize_success = secp256k1_eckey_pubkey_serialize(&pk, pk_ser, &pk_ser_len, 1); + +#ifdef VERIFY + /* A pubkey cannot be the point at infinity */ + VERIFY_CHECK(pk_serialize_success); + VERIFY_CHECK(pk_ser_len == sizeof(pk_ser)); +#else + (void) pk_serialize_success; +#endif + + secp256k1_nonce_function_musig(k, input_nonce, msg32, seckey, pk_ser, aggpk_ser_ptr, extra_input32); + VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[0])); + VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[1])); + secp256k1_musig_secnonce_save(secnonce, k, &pk); + secp256k1_musig_secnonce_invalidate(ctx, secnonce, !ret); + + for (i = 0; i < 2; i++) { + secp256k1_gej nonce_ptj; + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &nonce_ptj, &k[i]); + secp256k1_ge_set_gej(&nonce_pts[i], &nonce_ptj); + secp256k1_declassify(ctx, &nonce_pts[i], sizeof(nonce_pts[i])); + secp256k1_scalar_clear(&k[i]); + secp256k1_gej_clear(&nonce_ptj); + } + /* None of the nonce_pts will be infinity because k != 0 with overwhelming + * probability */ + secp256k1_musig_pubnonce_save(pubnonce, nonce_pts); + return ret; +} + +int secp256k1_musig_nonce_gen(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, unsigned char *session_secrand32, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) { + int ret = 1; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secnonce != NULL); + memset(secnonce, 0, sizeof(*secnonce)); + ARG_CHECK(session_secrand32 != NULL); + + /* Check in constant time that the session_secrand32 is not 0 as a + * defense-in-depth measure that may protect against a faulty RNG. */ + ret &= !secp256k1_is_zero_array(session_secrand32, 32); + + /* We can declassify because branching on ret is only relevant when this + * function called with an invalid session_secrand32 argument */ + secp256k1_declassify(ctx, &ret, sizeof(ret)); + if (ret == 0) { + secp256k1_musig_secnonce_invalidate(ctx, secnonce, 1); + return 0; + } + + ret &= secp256k1_musig_nonce_gen_internal(ctx, secnonce, pubnonce, session_secrand32, seckey, pubkey, msg32, keyagg_cache, extra_input32); + + /* Set the session_secrand32 buffer to zero to prevent the caller from using + * nonce_gen multiple times with the same buffer. */ + secp256k1_memczero(session_secrand32, 32, ret); + return ret; +} + +int secp256k1_musig_nonce_gen_counter(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, uint64_t nonrepeating_cnt, const secp256k1_keypair *keypair, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) { + unsigned char buf[32] = { 0 }; + unsigned char seckey[32]; + secp256k1_pubkey pubkey; + int ret; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secnonce != NULL); + memset(secnonce, 0, sizeof(*secnonce)); + ARG_CHECK(keypair != NULL); + + secp256k1_write_be64(buf, nonrepeating_cnt); + /* keypair_sec and keypair_pub do not fail if the arguments are not NULL */ + ret = secp256k1_keypair_sec(ctx, seckey, keypair); + VERIFY_CHECK(ret); + ret = secp256k1_keypair_pub(ctx, &pubkey, keypair); + VERIFY_CHECK(ret); +#ifndef VERIFY + (void) ret; +#endif + + if (!secp256k1_musig_nonce_gen_internal(ctx, secnonce, pubnonce, buf, seckey, &pubkey, msg32, keyagg_cache, extra_input32)) { + return 0; + } + secp256k1_memclear(seckey, sizeof(seckey)); + return 1; +} + +static int secp256k1_musig_sum_pubnonces(const secp256k1_context* ctx, secp256k1_gej *summed_pubnonces, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) { + size_t i; + int j; + + secp256k1_gej_set_infinity(&summed_pubnonces[0]); + secp256k1_gej_set_infinity(&summed_pubnonces[1]); + + for (i = 0; i < n_pubnonces; i++) { + secp256k1_ge nonce_pts[2]; + if (!secp256k1_musig_pubnonce_load(ctx, nonce_pts, pubnonces[i])) { + return 0; + } + for (j = 0; j < 2; j++) { + secp256k1_gej_add_ge_var(&summed_pubnonces[j], &summed_pubnonces[j], &nonce_pts[j], NULL); + } + } + return 1; +} + +int secp256k1_musig_nonce_agg(const secp256k1_context* ctx, secp256k1_musig_aggnonce *aggnonce, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) { + secp256k1_gej aggnonce_ptsj[2]; + secp256k1_ge aggnonce_pts[2]; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(aggnonce != NULL); + ARG_CHECK(pubnonces != NULL); + ARG_CHECK(n_pubnonces > 0); + + if (!secp256k1_musig_sum_pubnonces(ctx, aggnonce_ptsj, pubnonces, n_pubnonces)) { + return 0; + } + secp256k1_ge_set_all_gej_var(aggnonce_pts, aggnonce_ptsj, 2); + secp256k1_musig_aggnonce_save(aggnonce, aggnonce_pts); + return 1; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("MuSig/noncecoef")||SHA256("MuSig/noncecoef"). */ +static void secp256k1_musig_compute_noncehash_sha256_tagged(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x2c7d5a45ul; + sha->s[1] = 0x06bf7e53ul; + sha->s[2] = 0x89be68a6ul; + sha->s[3] = 0x971254c0ul; + sha->s[4] = 0x60ac12d2ul; + sha->s[5] = 0x72846dcdul; + sha->s[6] = 0x6c81212ful; + sha->s[7] = 0xde7a2500ul; + sha->bytes = 64; +} + +/* tagged_hash(aggnonce[0], aggnonce[1], agg_pk, msg) */ +static void secp256k1_musig_compute_noncehash(unsigned char *noncehash, secp256k1_ge *aggnonce, const unsigned char *agg_pk32, const unsigned char *msg) { + unsigned char buf[33]; + secp256k1_sha256 sha; + int i; + + secp256k1_musig_compute_noncehash_sha256_tagged(&sha); + for (i = 0; i < 2; i++) { + secp256k1_musig_ge_serialize_ext(buf, &aggnonce[i]); + secp256k1_sha256_write(&sha, buf, sizeof(buf)); + } + secp256k1_sha256_write(&sha, agg_pk32, 32); + secp256k1_sha256_write(&sha, msg, 32); + secp256k1_sha256_finalize(&sha, noncehash); +} + +/* out_nonce = nonce_pts[0] + b*nonce_pts[1] */ +static void secp256k1_effective_nonce(secp256k1_gej *out_nonce, const secp256k1_ge *nonce_pts, const secp256k1_scalar *b) { + secp256k1_gej tmp; + + secp256k1_gej_set_ge(&tmp, &nonce_pts[1]); + secp256k1_ecmult(out_nonce, &tmp, b, NULL); + secp256k1_gej_add_ge_var(out_nonce, out_nonce, &nonce_pts[0], NULL); +} + +static void secp256k1_musig_nonce_process_internal(int *fin_nonce_parity, unsigned char *fin_nonce, secp256k1_scalar *b, secp256k1_ge *aggnonce_pts, const unsigned char *agg_pk32, const unsigned char *msg) { + unsigned char noncehash[32]; + secp256k1_ge fin_nonce_pt; + secp256k1_gej fin_nonce_ptj; + + secp256k1_musig_compute_noncehash(noncehash, aggnonce_pts, agg_pk32, msg); + secp256k1_scalar_set_b32(b, noncehash, NULL); + /* fin_nonce = aggnonce_pts[0] + b*aggnonce_pts[1] */ + secp256k1_effective_nonce(&fin_nonce_ptj, aggnonce_pts, b); + secp256k1_ge_set_gej(&fin_nonce_pt, &fin_nonce_ptj); + if (secp256k1_ge_is_infinity(&fin_nonce_pt)) { + fin_nonce_pt = secp256k1_ge_const_g; + } + /* fin_nonce_pt is not the point at infinity */ + secp256k1_fe_normalize_var(&fin_nonce_pt.x); + secp256k1_fe_get_b32(fin_nonce, &fin_nonce_pt.x); + secp256k1_fe_normalize_var(&fin_nonce_pt.y); + *fin_nonce_parity = secp256k1_fe_is_odd(&fin_nonce_pt.y); +} + +int secp256k1_musig_nonce_process(const secp256k1_context* ctx, secp256k1_musig_session *session, const secp256k1_musig_aggnonce *aggnonce, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache) { + secp256k1_keyagg_cache_internal cache_i; + secp256k1_ge aggnonce_pts[2]; + unsigned char fin_nonce[32]; + secp256k1_musig_session_internal session_i; + unsigned char agg_pk32[32]; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(session != NULL); + ARG_CHECK(aggnonce != NULL); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(keyagg_cache != NULL); + + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + secp256k1_fe_get_b32(agg_pk32, &cache_i.pk.x); + + if (!secp256k1_musig_aggnonce_load(ctx, aggnonce_pts, aggnonce)) { + return 0; + } + + secp256k1_musig_nonce_process_internal(&session_i.fin_nonce_parity, fin_nonce, &session_i.noncecoef, aggnonce_pts, agg_pk32, msg32); + secp256k1_schnorrsig_challenge(&session_i.challenge, fin_nonce, msg32, 32, agg_pk32); + + /* If there is a tweak then set `challenge` times `tweak` to the `s`-part.*/ + secp256k1_scalar_set_int(&session_i.s_part, 0); + if (!secp256k1_scalar_is_zero(&cache_i.tweak)) { + secp256k1_scalar e_tmp; + secp256k1_scalar_mul(&e_tmp, &session_i.challenge, &cache_i.tweak); + if (secp256k1_fe_is_odd(&cache_i.pk.y)) { + secp256k1_scalar_negate(&e_tmp, &e_tmp); + } + session_i.s_part = e_tmp; + } + memcpy(session_i.fin_nonce, fin_nonce, sizeof(session_i.fin_nonce)); + secp256k1_musig_session_save(session, &session_i); + return 1; +} + +static void secp256k1_musig_partial_sign_clear(secp256k1_scalar *sk, secp256k1_scalar *k) { + secp256k1_scalar_clear(sk); + secp256k1_scalar_clear(&k[0]); + secp256k1_scalar_clear(&k[1]); +} + +int secp256k1_musig_partial_sign(const secp256k1_context* ctx, secp256k1_musig_partial_sig *partial_sig, secp256k1_musig_secnonce *secnonce, const secp256k1_keypair *keypair, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) { + secp256k1_scalar sk; + secp256k1_ge pk, keypair_pk; + secp256k1_scalar k[2]; + secp256k1_scalar mu, s; + secp256k1_keyagg_cache_internal cache_i; + secp256k1_musig_session_internal session_i; + int ret; + + VERIFY_CHECK(ctx != NULL); + + ARG_CHECK(secnonce != NULL); + /* Fails if the magic doesn't match */ + ret = secp256k1_musig_secnonce_load(ctx, k, &pk, secnonce); + /* Set nonce to zero to avoid nonce reuse. This will cause subsequent calls + * of this function to fail */ + memset(secnonce, 0, sizeof(*secnonce)); + if (!ret) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + + ARG_CHECK(partial_sig != NULL); + ARG_CHECK(keypair != NULL); + ARG_CHECK(keyagg_cache != NULL); + ARG_CHECK(session != NULL); + + if (!secp256k1_keypair_load(ctx, &sk, &keypair_pk, keypair)) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + ARG_CHECK(secp256k1_fe_equal(&pk.x, &keypair_pk.x) + && secp256k1_fe_equal(&pk.y, &keypair_pk.y)); + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + + /* Negate sk if secp256k1_fe_is_odd(&cache_i.pk.y)) XOR cache_i.parity_acc. + * This corresponds to the line "Let d = g⋅gacc⋅d' mod n" in the + * specification. */ + if ((secp256k1_fe_is_odd(&cache_i.pk.y) + != cache_i.parity_acc)) { + secp256k1_scalar_negate(&sk, &sk); + } + + /* Multiply KeyAgg coefficient */ + secp256k1_musig_keyaggcoef(&mu, &cache_i, &pk); + secp256k1_scalar_mul(&sk, &sk, &mu); + + if (!secp256k1_musig_session_load(ctx, &session_i, session)) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + + if (session_i.fin_nonce_parity) { + secp256k1_scalar_negate(&k[0], &k[0]); + secp256k1_scalar_negate(&k[1], &k[1]); + } + + /* Sign */ + secp256k1_scalar_mul(&s, &session_i.challenge, &sk); + secp256k1_scalar_mul(&k[1], &session_i.noncecoef, &k[1]); + secp256k1_scalar_add(&k[0], &k[0], &k[1]); + secp256k1_scalar_add(&s, &s, &k[0]); + secp256k1_musig_partial_sig_save(partial_sig, &s); + secp256k1_musig_partial_sign_clear(&sk, k); + return 1; +} + +int secp256k1_musig_partial_sig_verify(const secp256k1_context* ctx, const secp256k1_musig_partial_sig *partial_sig, const secp256k1_musig_pubnonce *pubnonce, const secp256k1_pubkey *pubkey, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) { + secp256k1_keyagg_cache_internal cache_i; + secp256k1_musig_session_internal session_i; + secp256k1_scalar mu, e, s; + secp256k1_gej pkj; + secp256k1_ge nonce_pts[2]; + secp256k1_gej rj; + secp256k1_gej tmp; + secp256k1_ge pkp; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(partial_sig != NULL); + ARG_CHECK(pubnonce != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(keyagg_cache != NULL); + ARG_CHECK(session != NULL); + + if (!secp256k1_musig_session_load(ctx, &session_i, session)) { + return 0; + } + + if (!secp256k1_musig_pubnonce_load(ctx, nonce_pts, pubnonce)) { + return 0; + } + /* Compute "effective" nonce rj = nonce_pts[0] + b*nonce_pts[1] */ + /* TODO: use multiexp to compute -s*G + e*mu*pubkey + nonce_pts[0] + b*nonce_pts[1] */ + secp256k1_effective_nonce(&rj, nonce_pts, &session_i.noncecoef); + + if (!secp256k1_pubkey_load(ctx, &pkp, pubkey)) { + return 0; + } + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + /* Multiplying the challenge by the KeyAgg coefficient is equivalent + * to multiplying the signer's public key by the coefficient, except + * much easier to do. */ + secp256k1_musig_keyaggcoef(&mu, &cache_i, &pkp); + secp256k1_scalar_mul(&e, &session_i.challenge, &mu); + + /* Negate e if secp256k1_fe_is_odd(&cache_i.pk.y)) XOR cache_i.parity_acc. + * This corresponds to the line "Let g' = g⋅gacc mod n" and the multiplication "g'⋅e" + * in the specification. */ + if (secp256k1_fe_is_odd(&cache_i.pk.y) + != cache_i.parity_acc) { + secp256k1_scalar_negate(&e, &e); + } + + if (!secp256k1_musig_partial_sig_load(ctx, &s, partial_sig)) { + return 0; + } + /* Compute -s*G + e*pkj + rj (e already includes the keyagg coefficient mu) */ + secp256k1_scalar_negate(&s, &s); + secp256k1_gej_set_ge(&pkj, &pkp); + secp256k1_ecmult(&tmp, &pkj, &e, &s); + if (session_i.fin_nonce_parity) { + secp256k1_gej_neg(&rj, &rj); + } + secp256k1_gej_add_var(&tmp, &tmp, &rj, NULL); + + return secp256k1_gej_is_infinity(&tmp); +} + +int secp256k1_musig_partial_sig_agg(const secp256k1_context* ctx, unsigned char *sig64, const secp256k1_musig_session *session, const secp256k1_musig_partial_sig * const* partial_sigs, size_t n_sigs) { + size_t i; + secp256k1_musig_session_internal session_i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(session != NULL); + ARG_CHECK(partial_sigs != NULL); + ARG_CHECK(n_sigs > 0); + + if (!secp256k1_musig_session_load(ctx, &session_i, session)) { + return 0; + } + for (i = 0; i < n_sigs; i++) { + secp256k1_scalar term; + if (!secp256k1_musig_partial_sig_load(ctx, &term, partial_sigs[i])) { + return 0; + } + secp256k1_scalar_add(&session_i.s_part, &session_i.s_part, &term); + } + secp256k1_scalar_get_b32(&sig64[32], &session_i.s_part); + memcpy(&sig64[0], session_i.fin_nonce, 32); + return 1; +} + +#endif diff --git a/src/secp256k1/src/modules/musig/tests_impl.h b/src/secp256k1/src/modules/musig/tests_impl.h new file mode 100644 index 00000000..ce6ae178 --- /dev/null +++ b/src/secp256k1/src/modules/musig/tests_impl.h @@ -0,0 +1,1143 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_TESTS_IMPL_H +#define SECP256K1_MODULE_MUSIG_TESTS_IMPL_H + +#include +#include + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_extrakeys.h" +#include "../../../include/secp256k1_musig.h" + +#include "session.h" +#include "keyagg.h" +#include "../../scalar.h" +#include "../../field.h" +#include "../../group.h" +#include "../../hash.h" +#include "../../util.h" + +#include "vectors.h" + +static int create_keypair_and_pk(secp256k1_keypair *keypair, secp256k1_pubkey *pk, const unsigned char *sk) { + int ret; + secp256k1_keypair keypair_tmp; + ret = secp256k1_keypair_create(CTX, &keypair_tmp, sk); + ret &= secp256k1_keypair_pub(CTX, pk, &keypair_tmp); + if (keypair != NULL) { + *keypair = keypair_tmp; + } + return ret; +} + +/* Just a simple (non-tweaked) 2-of-2 MuSig aggregate, sign, verify + * test. */ +static void musig_simple_test(void) { + unsigned char sk[2][32]; + secp256k1_keypair keypair[2]; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + secp256k1_musig_aggnonce aggnonce; + unsigned char msg[32]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_musig_keyagg_cache keyagg_cache; + unsigned char session_secrand[2][32]; + secp256k1_musig_secnonce secnonce[2]; + secp256k1_pubkey pk[2]; + const secp256k1_pubkey *pk_ptr[2]; + secp256k1_musig_partial_sig partial_sig[2]; + const secp256k1_musig_partial_sig *partial_sig_ptr[2]; + unsigned char final_sig[64]; + secp256k1_musig_session session; + int i; + + testrand256(msg); + for (i = 0; i < 2; i++) { + testrand256(sk[i]); + pk_ptr[i] = &pk[i]; + pubnonce_ptr[i] = &pubnonce[i]; + partial_sig_ptr[i] = &partial_sig[i]; + + CHECK(create_keypair_and_pk(&keypair[i], &pk[i], sk[i])); + if (i == 0) { + testrand256(session_secrand[i]); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[i], &pubnonce[i], session_secrand[i], sk[i], &pk[i], NULL, NULL, NULL) == 1); + } else { + uint64_t nonrepeating_cnt = 0; + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[i], &pubnonce[i], nonrepeating_cnt, &keypair[i], NULL, NULL, NULL) == 1); + } + } + + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1); + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1); + + for (i = 0; i < 2; i++) { + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[i], &secnonce[i], &keypair[i], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[i], &pubnonce[i], &pk[i], &keyagg_cache, &session) == 1); + } + + CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, 2) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, msg, sizeof(msg), &agg_pk) == 1); +} + +/* Generate two pubnonces such that both group elements of their sum (calculated + * with secp256k1_musig_sum_pubnonces) are infinity. */ +static void pubnonce_summing_to_inf(secp256k1_musig_pubnonce *pubnonce) { + secp256k1_ge ge[2]; + int i; + secp256k1_gej summed_pubnonces[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + + testutil_random_ge_test(&ge[0]); + testutil_random_ge_test(&ge[1]); + + for (i = 0; i < 2; i++) { + secp256k1_musig_pubnonce_save(&pubnonce[i], ge); + pubnonce_ptr[i] = &pubnonce[i]; + secp256k1_ge_neg(&ge[0], &ge[0]); + secp256k1_ge_neg(&ge[1], &ge[1]); + } + + secp256k1_musig_sum_pubnonces(CTX, summed_pubnonces, pubnonce_ptr, 2); + CHECK(secp256k1_gej_is_infinity(&summed_pubnonces[0])); + CHECK(secp256k1_gej_is_infinity(&summed_pubnonces[1])); +} + +int memcmp_and_randomize(unsigned char *value, const unsigned char *expected, size_t len) { + int ret; + size_t i; + ret = secp256k1_memcmp_var(value, expected, len); + for (i = 0; i < len; i++) { + value[i] = testrand_bits(8); + } + return ret; +} + +static void musig_api_tests(void) { + secp256k1_musig_partial_sig partial_sig[2]; + const secp256k1_musig_partial_sig *partial_sig_ptr[2]; + secp256k1_musig_partial_sig invalid_partial_sig; + const secp256k1_musig_partial_sig *invalid_partial_sig_ptr[2]; + unsigned char pre_sig[64]; + unsigned char buf[32]; + unsigned char sk[2][32]; + secp256k1_keypair keypair[2]; + secp256k1_keypair invalid_keypair; + unsigned char max64[64]; + unsigned char zeros132[132] = { 0 }; + unsigned char session_secrand[2][32]; + unsigned char nonrepeating_cnt = 0; + secp256k1_musig_secnonce secnonce[2]; + secp256k1_musig_secnonce secnonce_tmp; + secp256k1_musig_secnonce invalid_secnonce; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + unsigned char pubnonce_ser[66]; + secp256k1_musig_pubnonce inf_pubnonce[2]; + const secp256k1_musig_pubnonce *inf_pubnonce_ptr[2]; + secp256k1_musig_pubnonce invalid_pubnonce; + const secp256k1_musig_pubnonce *invalid_pubnonce_ptr[1]; + secp256k1_musig_aggnonce aggnonce; + unsigned char aggnonce_ser[66]; + unsigned char msg[32]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_pubkey full_agg_pk; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_keyagg_cache invalid_keyagg_cache; + secp256k1_musig_session session; + secp256k1_musig_session invalid_session; + secp256k1_pubkey pk[2]; + const secp256k1_pubkey *pk_ptr[2]; + secp256k1_pubkey invalid_pk; + const secp256k1_pubkey *invalid_pk_ptr2[2]; + const secp256k1_pubkey *invalid_pk_ptr3[3]; + unsigned char tweak[32]; + int i; + + /** setup **/ + memset(max64, 0xff, sizeof(max64)); + memset(&invalid_keypair, 0, sizeof(invalid_keypair)); + memset(&invalid_pk, 0, sizeof(invalid_pk)); + memset(&invalid_secnonce, 0, sizeof(invalid_secnonce)); + memset(&invalid_partial_sig, 0, sizeof(invalid_partial_sig)); + pubnonce_summing_to_inf(inf_pubnonce); + /* Simulate structs being uninitialized by setting it to 0s. We don't want + * to produce undefined behavior by actually providing uninitialized + * structs. */ + memset(&invalid_keyagg_cache, 0, sizeof(invalid_keyagg_cache)); + memset(&invalid_pk, 0, sizeof(invalid_pk)); + memset(&invalid_pubnonce, 0, sizeof(invalid_pubnonce)); + memset(&invalid_session, 0, sizeof(invalid_session)); + + testrand256(msg); + testrand256(tweak); + for (i = 0; i < 2; i++) { + pk_ptr[i] = &pk[i]; + invalid_pk_ptr2[i] = &invalid_pk; + invalid_pk_ptr3[i] = &pk[i]; + pubnonce_ptr[i] = &pubnonce[i]; + inf_pubnonce_ptr[i] = &inf_pubnonce[i]; + partial_sig_ptr[i] = &partial_sig[i]; + invalid_partial_sig_ptr[i] = &partial_sig[i]; + testrand256(session_secrand[i]); + testrand256(sk[i]); + CHECK(create_keypair_and_pk(&keypair[i], &pk[i], sk[i])); + } + invalid_pubnonce_ptr[0] = &invalid_pubnonce; + invalid_partial_sig_ptr[0] = &invalid_partial_sig; + /* invalid_pk_ptr3 has two valid, one invalid pk, which is important to test + * musig_pubkey_agg */ + invalid_pk_ptr3[2] = &invalid_pk; + + /** main test body **/ + + /** Key aggregation **/ + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1); + CHECK(secp256k1_musig_pubkey_agg(CTX, NULL, &keyagg_cache, pk_ptr, 2) == 1); + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, NULL, pk_ptr, 2) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, NULL, 2)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, invalid_pk_ptr2, 2)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, invalid_pk_ptr3, 3)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 0)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, NULL, 0)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1); + + /* pubkey_get */ + CHECK(secp256k1_musig_pubkey_get(CTX, &full_agg_pk, &keyagg_cache) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_get(CTX, NULL, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_get(CTX, &full_agg_pk, NULL)); + CHECK(secp256k1_memcmp_var(&full_agg_pk, zeros132, sizeof(full_agg_pk)) == 0); + + /** Tweaking **/ + { + int (*tweak_func[2]) (const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32); + tweak_func[0] = secp256k1_musig_pubkey_ec_tweak_add; + tweak_func[1] = secp256k1_musig_pubkey_xonly_tweak_add; + for (i = 0; i < 2; i++) { + secp256k1_pubkey tmp_output_pk; + secp256k1_musig_keyagg_cache tmp_keyagg_cache = keyagg_cache; + CHECK((*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, tweak) == 1); + /* Reset keyagg_cache */ + tmp_keyagg_cache = keyagg_cache; + CHECK((*tweak_func[i])(CTX, NULL, &tmp_keyagg_cache, tweak) == 1); + tmp_keyagg_cache = keyagg_cache; + CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, NULL, tweak)); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + tmp_keyagg_cache = keyagg_cache; + CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, NULL)); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + tmp_keyagg_cache = keyagg_cache; + CHECK((*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, max64) == 0); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + tmp_keyagg_cache = keyagg_cache; + /* Uninitialized keyagg_cache */ + CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, &invalid_keyagg_cache, tweak)); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + } + } + + /** Session creation with nonce_gen **/ + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64) == 1); + /* nonce_gen, if successful, sets session_secrand to the zero array, which + * makes subsequent nonce_gen calls with the same session_secrand fail. So + * check that session_secrand is indeed the zero array and fill it with + * random values again. */ + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + CHECK_ILLEGAL(STATIC_CTX, secp256k1_musig_nonce_gen(STATIC_CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, NULL, &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64)); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], NULL, session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], NULL, sk[0], &pk[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + /* session_secrand = 0 is disallowed because it indicates a faulty RNG */ + memcpy(&session_secrand[0], zeros132, sizeof(session_secrand[0])); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], zeros132, sk[0], &pk[0], msg, &keyagg_cache, max64) == 0); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], NULL, &pk[0], msg, &keyagg_cache, max64) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + /* invalid seckey */ + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], max64, &pk[0], msg, &keyagg_cache, max64) == 0); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], NULL, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &invalid_pk, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], NULL, &keyagg_cache, max64) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, NULL, max64) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &invalid_keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, NULL) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + /* Every in-argument except session_secrand and pubkey can be NULL */ + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], NULL, &pk[0], NULL, NULL, NULL) == 1); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[1], &pubnonce[1], session_secrand[1], sk[1], &pk[1], NULL, NULL, NULL) == 1); + + /** Session creation with nonce_gen_counter **/ + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64) == 1); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_musig_nonce_gen_counter(STATIC_CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, NULL, &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], NULL, nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + /* using nonce_gen_counter requires keypair */ + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, NULL, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + /* invalid keypair */ + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &invalid_keypair, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], NULL, &keyagg_cache, max64) == 1); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, NULL, max64) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &invalid_keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt,&keypair[0], msg, &keyagg_cache, NULL) == 1); + + /* Every in-argument except nonrepeating_cnt and keypair can be NULL */ + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], NULL, NULL, NULL) == 1); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[1], &pubnonce[1], nonrepeating_cnt, &keypair[1], NULL, NULL, NULL) == 1); + + + /** Serialize and parse public nonces **/ + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, NULL, &pubnonce[0])); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, NULL)); + CHECK(memcmp_and_randomize(pubnonce_ser, zeros132, sizeof(pubnonce_ser)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &invalid_pubnonce)); + CHECK(memcmp_and_randomize(pubnonce_ser, zeros132, sizeof(pubnonce_ser)) == 0); + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &pubnonce[0]) == 1); + + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], pubnonce_ser) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_parse(CTX, NULL, pubnonce_ser)); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], NULL)); + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], zeros132) == 0); + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], pubnonce_ser) == 1); + + { + /* Check that serialize and parse results in the same value */ + secp256k1_musig_pubnonce tmp; + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &pubnonce[0]) == 1); + CHECK(secp256k1_musig_pubnonce_parse(CTX, &tmp, pubnonce_ser) == 1); + CHECK(secp256k1_memcmp_var(&tmp, &pubnonce[0], sizeof(tmp)) == 0); + } + + /** Receive nonces and aggregate **/ + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, NULL, pubnonce_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, NULL, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 0)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, invalid_pubnonce_ptr, 1)); + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, inf_pubnonce_ptr, 2) == 1); + { + /* Check that the aggnonce encodes two points at infinity */ + secp256k1_ge aggnonce_pt[2]; + secp256k1_musig_aggnonce_load(CTX, aggnonce_pt, &aggnonce); + for (i = 0; i < 2; i++) { + secp256k1_ge_is_infinity(&aggnonce_pt[i]); + } + } + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + + /** Serialize and parse aggregate nonces **/ + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, NULL, &aggnonce)); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, NULL)); + CHECK(memcmp_and_randomize(aggnonce_ser, zeros132, sizeof(aggnonce_ser)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, (secp256k1_musig_aggnonce*) &invalid_pubnonce)); + CHECK(memcmp_and_randomize(aggnonce_ser, zeros132, sizeof(aggnonce_ser)) == 0); + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1); + + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, aggnonce_ser) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_parse(CTX, NULL, aggnonce_ser)); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_parse(CTX, &aggnonce, NULL)); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, zeros132) == 1); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, aggnonce_ser) == 1); + + { + /* Check that serialize and parse results in the same value */ + secp256k1_musig_aggnonce tmp; + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &tmp, aggnonce_ser) == 1); + CHECK(secp256k1_memcmp_var(&tmp, &aggnonce, sizeof(tmp)) == 0); + } + + /** Process nonces **/ + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, NULL, &aggnonce, msg, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, NULL, msg, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, (secp256k1_musig_aggnonce*) &invalid_pubnonce, msg, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, NULL, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &invalid_keyagg_cache)); + + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1); + + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &session) == 1); + /* The secnonce is set to 0 and subsequent signing attempts fail */ + CHECK(secp256k1_memcmp_var(&secnonce_tmp, zeros132, sizeof(secnonce_tmp)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, NULL, &secnonce_tmp, &keypair[0], &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], NULL, &keypair[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &invalid_secnonce, &keypair[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, NULL, &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &invalid_keypair, &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + { + unsigned char sk_tmp[32]; + secp256k1_keypair keypair_tmp; + testrand256(sk_tmp); + CHECK(secp256k1_keypair_create(CTX, &keypair_tmp, sk_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair_tmp, &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + } + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], NULL, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &invalid_keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, NULL)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &invalid_session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce[0], &keypair[0], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[1], &secnonce[1], &keypair[1], &keyagg_cache, &session) == 1); + + CHECK(secp256k1_musig_partial_sig_serialize(CTX, buf, &partial_sig[0]) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, NULL, &partial_sig[0])); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, buf, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, buf, &invalid_partial_sig)); + CHECK(secp256k1_musig_partial_sig_parse(CTX, &partial_sig[0], buf) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_parse(CTX, NULL, buf)); + { + /* Check that parsing failure results in an invalid sig */ + secp256k1_musig_partial_sig tmp; + CHECK(secp256k1_musig_partial_sig_parse(CTX, &tmp, max64) == 0); + CHECK(secp256k1_memcmp_var(&tmp, zeros132, sizeof(partial_sig[0])) == 0); + } + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_parse(CTX, &partial_sig[0], NULL)); + + { + /* Check that serialize and parse results in the same value */ + secp256k1_musig_partial_sig tmp; + CHECK(secp256k1_musig_partial_sig_serialize(CTX, buf, &partial_sig[0]) == 1); + CHECK(secp256k1_musig_partial_sig_parse(CTX, &tmp, buf) == 1); + CHECK(secp256k1_memcmp_var(&tmp, &partial_sig[0], sizeof(tmp)) == 0); + } + + /** Partial signature verification */ + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, NULL, &pubnonce[0], &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &invalid_partial_sig, &pubnonce[0], &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], NULL, &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &invalid_pubnonce, &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], NULL, &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &invalid_pk, &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], NULL, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &invalid_keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &invalid_session)); + + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[1], &pk[1], &keyagg_cache, &session) == 1); + + /** Signature aggregation and verification */ + CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, NULL, &session, partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, NULL, partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &invalid_session, partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, NULL, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, invalid_partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 0)); + CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 1) == 1); + CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2) == 1); +} + +static void musig_nonce_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes) { + secp256k1_scalar k1[2], k2[2]; + + secp256k1_nonce_function_musig(k1, args[0], args[1], args[2], args[3], args[4], args[5]); + testrand_flip(args[n_flip], n_bytes); + secp256k1_nonce_function_musig(k2, args[0], args[1], args[2], args[3], args[4], args[5]); + CHECK(secp256k1_scalar_eq(&k1[0], &k2[0]) == 0); + CHECK(secp256k1_scalar_eq(&k1[1], &k2[1]) == 0); +} + +static void musig_nonce_test(void) { + unsigned char *args[6]; + unsigned char session_secrand[32]; + unsigned char sk[32]; + unsigned char pk[33]; + unsigned char msg[32]; + unsigned char agg_pk[32]; + unsigned char extra_input[32]; + int i, j; + secp256k1_scalar k[6][2]; + + testrand_bytes_test(session_secrand, sizeof(session_secrand)); + testrand_bytes_test(sk, sizeof(sk)); + testrand_bytes_test(pk, sizeof(pk)); + testrand_bytes_test(msg, sizeof(msg)); + testrand_bytes_test(agg_pk, sizeof(agg_pk)); + testrand_bytes_test(extra_input, sizeof(extra_input)); + + /* Check that a bitflip in an argument results in different nonces. */ + args[0] = session_secrand; + args[1] = msg; + args[2] = sk; + args[3] = pk; + args[4] = agg_pk; + args[5] = extra_input; + for (i = 0; i < COUNT; i++) { + musig_nonce_bitflip(args, 0, sizeof(session_secrand)); + musig_nonce_bitflip(args, 1, sizeof(msg)); + musig_nonce_bitflip(args, 2, sizeof(sk)); + musig_nonce_bitflip(args, 3, sizeof(pk)); + musig_nonce_bitflip(args, 4, sizeof(agg_pk)); + musig_nonce_bitflip(args, 5, sizeof(extra_input)); + } + /* Check that if any argument is NULL, a different nonce is produced than if + * any other argument is NULL. */ + memcpy(msg, session_secrand, sizeof(msg)); + memcpy(sk, session_secrand, sizeof(sk)); + memcpy(pk, session_secrand, sizeof(session_secrand)); + memcpy(agg_pk, session_secrand, sizeof(agg_pk)); + memcpy(extra_input, session_secrand, sizeof(extra_input)); + secp256k1_nonce_function_musig(k[0], args[0], args[1], args[2], args[3], args[4], args[5]); + secp256k1_nonce_function_musig(k[1], args[0], NULL, args[2], args[3], args[4], args[5]); + secp256k1_nonce_function_musig(k[2], args[0], args[1], NULL, args[3], args[4], args[5]); + secp256k1_nonce_function_musig(k[3], args[0], args[1], args[2], NULL, args[4], args[5]); + secp256k1_nonce_function_musig(k[4], args[0], args[1], args[2], args[3], NULL, args[5]); + secp256k1_nonce_function_musig(k[5], args[0], args[1], args[2], args[3], args[4], NULL); + for (i = 0; i < 6; i++) { + CHECK(!secp256k1_scalar_eq(&k[i][0], &k[i][1])); + for (j = i+1; j < 6; j++) { + CHECK(!secp256k1_scalar_eq(&k[i][0], &k[j][0])); + CHECK(!secp256k1_scalar_eq(&k[i][1], &k[j][1])); + } + } +} + +static void sha256_tag_test_internal(secp256k1_sha256 *sha_tagged, unsigned char *tag, size_t taglen) { + secp256k1_sha256 sha; + secp256k1_sha256_initialize_tagged(&sha, tag, taglen); + test_sha256_eq(&sha, sha_tagged); +} + +/* Checks that the initialized tagged hashes have the expected + * state. */ +static void sha256_tag_test(void) { + secp256k1_sha256 sha; + { + char tag[] = "KeyAgg list"; + secp256k1_musig_keyagglist_sha256(&sha); + sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1); + } + { + char tag[] = "KeyAgg coefficient"; + secp256k1_musig_keyaggcoef_sha256(&sha); + sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1); + } + { + unsigned char tag[] = "MuSig/aux"; + secp256k1_nonce_function_musig_sha256_tagged_aux(&sha); + sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1); + } + { + unsigned char tag[] = "MuSig/nonce"; + secp256k1_nonce_function_musig_sha256_tagged(&sha); + sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1); + } + { + unsigned char tag[] = "MuSig/noncecoef"; + secp256k1_musig_compute_noncehash_sha256_tagged(&sha); + sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1); + } +} + +/* Attempts to create a signature for the aggregate public key using given secret + * keys and keyagg_cache. */ +static void musig_tweak_test_helper(const secp256k1_xonly_pubkey* agg_pk, const unsigned char *sk0, const unsigned char *sk1, secp256k1_musig_keyagg_cache *keyagg_cache) { + secp256k1_pubkey pk[2]; + unsigned char session_secrand[2][32]; + unsigned char msg[32]; + secp256k1_musig_secnonce secnonce[2]; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + secp256k1_musig_aggnonce aggnonce; + secp256k1_keypair keypair[2]; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig[2]; + const secp256k1_musig_partial_sig *partial_sig_ptr[2]; + unsigned char final_sig[64]; + int i; + + for (i = 0; i < 2; i++) { + pubnonce_ptr[i] = &pubnonce[i]; + partial_sig_ptr[i] = &partial_sig[i]; + + testrand256(session_secrand[i]); + } + CHECK(create_keypair_and_pk(&keypair[0], &pk[0], sk0) == 1); + CHECK(create_keypair_and_pk(&keypair[1], &pk[1], sk1) == 1); + testrand256(msg); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk0, &pk[0], NULL, NULL, NULL) == 1); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[1], &pubnonce[1], session_secrand[1], sk1, &pk[1], NULL, NULL, NULL) == 1); + + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, keyagg_cache) == 1); + + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce[0], &keypair[0], keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[1], &secnonce[1], &keypair[1], keyagg_cache, &session) == 1); + + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[1], &pk[1], keyagg_cache, &session) == 1); + + CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, 2) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, msg, sizeof(msg), agg_pk) == 1); +} + +/* Create aggregate public key P[0], tweak multiple times (using xonly and + * plain tweaking) and test signing. */ +static void musig_tweak_test(void) { + unsigned char sk[2][32]; + secp256k1_pubkey pk[2]; + const secp256k1_pubkey *pk_ptr[2]; + secp256k1_musig_keyagg_cache keyagg_cache; + enum { N_TWEAKS = 8 }; + secp256k1_pubkey P[N_TWEAKS + 1]; + secp256k1_xonly_pubkey P_xonly[N_TWEAKS + 1]; + int i; + + /* Key Setup */ + for (i = 0; i < 2; i++) { + pk_ptr[i] = &pk[i]; + testrand256(sk[i]); + CHECK(create_keypair_and_pk(NULL, &pk[i], sk[i]) == 1); + } + /* Compute P0 = keyagg(pk0, pk1) and test signing for it */ + CHECK(secp256k1_musig_pubkey_agg(CTX, &P_xonly[0], &keyagg_cache, pk_ptr, 2) == 1); + musig_tweak_test_helper(&P_xonly[0], sk[0], sk[1], &keyagg_cache); + CHECK(secp256k1_musig_pubkey_get(CTX, &P[0], &keyagg_cache)); + + /* Compute Pi = f(Pj) + tweaki*G where where j = i-1 and try signing for + * that key. If xonly is set to true, the function f normalizes the input + * point to have an even X-coordinate ("xonly-tweaking"). + * Otherwise, the function f is the identity function. */ + for (i = 1; i <= N_TWEAKS; i++) { + unsigned char tweak[32]; + int P_parity; + int xonly = testrand_bits(1); + + testrand256(tweak); + if (xonly) { + CHECK(secp256k1_musig_pubkey_xonly_tweak_add(CTX, &P[i], &keyagg_cache, tweak) == 1); + } else { + CHECK(secp256k1_musig_pubkey_ec_tweak_add(CTX, &P[i], &keyagg_cache, tweak) == 1); + } + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &P_xonly[i], &P_parity, &P[i])); + /* Check that musig_pubkey_tweak_add produces same result as + * xonly_pubkey_tweak_add or ec_pubkey_tweak_add. */ + if (xonly) { + unsigned char P_serialized[32]; + CHECK(secp256k1_xonly_pubkey_serialize(CTX, P_serialized, &P_xonly[i])); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, P_serialized, P_parity, &P_xonly[i-1], tweak) == 1); + } else { + secp256k1_pubkey tmp_key = P[i-1]; + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &tmp_key, tweak)); + CHECK(secp256k1_memcmp_var(&tmp_key, &P[i], sizeof(tmp_key)) == 0); + } + /* Test signing for P[i] */ + musig_tweak_test_helper(&P_xonly[i], sk[0], sk[1], &keyagg_cache); + } +} + +int musig_vectors_keyagg_and_tweak(enum MUSIG_ERROR *error, + secp256k1_musig_keyagg_cache *keyagg_cache, + unsigned char *agg_pk_ser, + const unsigned char pubkeys33[][33], + const unsigned char tweaks32[][32], + size_t key_indices_len, + const size_t *key_indices, + size_t tweak_indices_len, + const size_t *tweak_indices, + const int *is_xonly) { + secp256k1_pubkey pubkeys[MUSIG_VECTORS_MAX_PUBKEYS]; + const secp256k1_pubkey *pk_ptr[MUSIG_VECTORS_MAX_PUBKEYS]; + int i; + secp256k1_pubkey agg_pk; + secp256k1_xonly_pubkey agg_pk_xonly; + + for (i = 0; i < (int)key_indices_len; i++) { + if (!secp256k1_ec_pubkey_parse(CTX, &pubkeys[i], pubkeys33[key_indices[i]], 33)) { + *error = MUSIG_PUBKEY; + return 0; + } + pk_ptr[i] = &pubkeys[i]; + } + if (!secp256k1_musig_pubkey_agg(CTX, NULL, keyagg_cache, pk_ptr, key_indices_len)) { + *error = MUSIG_OTHER; + return 0; + } + + for (i = 0; i < (int)tweak_indices_len; i++) { + if (is_xonly[i]) { + if (!secp256k1_musig_pubkey_xonly_tweak_add(CTX, NULL, keyagg_cache, tweaks32[tweak_indices[i]])) { + *error = MUSIG_TWEAK; + return 0; + } + } else { + if (!secp256k1_musig_pubkey_ec_tweak_add(CTX, NULL, keyagg_cache, tweaks32[tweak_indices[i]])) { + *error = MUSIG_TWEAK; + return 0; + } + } + } + if (!secp256k1_musig_pubkey_get(CTX, &agg_pk, keyagg_cache)) { + *error = MUSIG_OTHER; + return 0; + } + + if (!secp256k1_xonly_pubkey_from_pubkey(CTX, &agg_pk_xonly, NULL, &agg_pk)) { + *error = MUSIG_OTHER; + return 0; + } + + if (agg_pk_ser != NULL) { + if (!secp256k1_xonly_pubkey_serialize(CTX, agg_pk_ser, &agg_pk_xonly)) { + *error = MUSIG_OTHER; + return 0; + } + } + + return 1; +} + +static void musig_test_vectors_keyagg(void) { + size_t i; + const struct musig_key_agg_vector *vector = &musig_key_agg_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_key_agg_valid_test_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + unsigned char agg_pk[32]; + + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, agg_pk, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(secp256k1_memcmp_var(agg_pk, c->expected, sizeof(agg_pk)) == 0); + } + + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_key_agg_error_test_case *c = &vector->error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + + CHECK(!musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + CHECK(c->error == error); + } +} + +static void musig_test_vectors_noncegen(void) { + size_t i; + const struct musig_nonce_gen_vector *vector = &musig_nonce_gen_vector; + + for (i = 0; i < sizeof(vector->test_case)/sizeof(vector->test_case[0]); i++) { + const struct musig_nonce_gen_test_case *c = &vector->test_case[i]; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_keyagg_cache *keyagg_cache_ptr = NULL; + unsigned char session_secrand32[32]; + secp256k1_musig_secnonce secnonce; + secp256k1_musig_pubnonce pubnonce; + const unsigned char *sk = NULL; + const unsigned char *msg = NULL; + const unsigned char *extra_in = NULL; + secp256k1_pubkey pk; + unsigned char pubnonce66[66]; + + memcpy(session_secrand32, c->rand_, 32); + if (c->has_sk) { + sk = c->sk; + } + if (c->has_aggpk) { + /* Create keyagg_cache from aggpk */ + secp256k1_keyagg_cache_internal cache_i; + secp256k1_xonly_pubkey aggpk; + memset(&cache_i, 0, sizeof(cache_i)); + CHECK(secp256k1_xonly_pubkey_parse(CTX, &aggpk, c->aggpk)); + CHECK(secp256k1_xonly_pubkey_load(CTX, &cache_i.pk, &aggpk)); + secp256k1_keyagg_cache_save(&keyagg_cache, &cache_i); + keyagg_cache_ptr = &keyagg_cache; + } + if (c->has_msg) { + msg = c->msg; + } + if (c->has_extra_in) { + extra_in = c->extra_in; + } + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk, c->pk, sizeof(c->pk))); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce, &pubnonce, session_secrand32, sk, &pk, msg, keyagg_cache_ptr, extra_in) == 1); + CHECK(secp256k1_memcmp_var(&secnonce.data[4], c->expected_secnonce, 2*32) == 0); + /* The last element of the secnonce is the public key (uncompressed in + * secp256k1_musig_secnonce, compressed in the test vector secnonce). */ + CHECK(secp256k1_memcmp_var(&secnonce.data[4+2*32], &pk, sizeof(pk)) == 0); + CHECK(secp256k1_memcmp_var(&c->expected_secnonce[2*32], c->pk, sizeof(c->pk)) == 0); + + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce66, &pubnonce) == 1); + CHECK(sizeof(c->expected_pubnonce) == sizeof(pubnonce66)); + CHECK(secp256k1_memcmp_var(pubnonce66, c->expected_pubnonce, sizeof(pubnonce66)) == 0); + } +} + + +static void musig_test_vectors_nonceagg(void) { + size_t i; + int j; + const struct musig_nonce_agg_vector *vector = &musig_nonce_agg_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_nonce_agg_test_case *c = &vector->valid_case[i]; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + secp256k1_musig_aggnonce aggnonce; + unsigned char aggnonce66[66]; + + for (j = 0; j < 2; j++) { + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pnonces[c->pnonce_indices[j]]) == 1); + pubnonce_ptr[j] = &pubnonce[j]; + } + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2)); + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce66, &aggnonce)); + CHECK(secp256k1_memcmp_var(aggnonce66, c->expected, 33) == 0); + } + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_nonce_agg_test_case *c = &vector->error_case[i]; + secp256k1_musig_pubnonce pubnonce[2]; + for (j = 0; j < 2; j++) { + int expected = c->invalid_nonce_idx != j; + CHECK(expected == secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pnonces[c->pnonce_indices[j]])); + } + } +} + +static void musig_test_set_secnonce(secp256k1_musig_secnonce *secnonce, const unsigned char *secnonce64, const secp256k1_pubkey *pubkey) { + secp256k1_ge pk; + secp256k1_scalar k[2]; + + secp256k1_scalar_set_b32(&k[0], &secnonce64[0], NULL); + secp256k1_scalar_set_b32(&k[1], &secnonce64[32], NULL); + CHECK(secp256k1_pubkey_load(CTX, &pk, pubkey)); + secp256k1_musig_secnonce_save(secnonce, k, &pk); +} + +static void musig_test_vectors_signverify(void) { + size_t i; + const struct musig_sign_verify_vector *vector = &musig_sign_verify_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_valid_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_pubkey pubkey; + secp256k1_musig_pubnonce pubnonce; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + secp256k1_musig_secnonce secnonce; + secp256k1_keypair keypair; + unsigned char partial_sig32[32]; + + CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk)); + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonces[c->aggnonce_index])); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache)); + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0]))); + musig_test_set_secnonce(&secnonce, vector->secnonces[0], &pubkey); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + CHECK(secp256k1_musig_partial_sig_serialize(CTX, partial_sig32, &partial_sig)); + CHECK(secp256k1_memcmp_var(partial_sig32, c->expected, sizeof(partial_sig32)) == 0); + + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[0])); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig, &pubnonce, &pubkey, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->sign_error_case)/sizeof(vector->sign_error_case[0]); i++) { + const struct musig_sign_error_case *c = &vector->sign_error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_pubkey pubkey; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + secp256k1_musig_secnonce secnonce; + secp256k1_keypair keypair; + int expected; + + if (i == 0) { + /* Skip this vector since the implementation does not error out when + * the signing key does not belong to any pubkey. */ + continue; + } + expected = c->error != MUSIG_PUBKEY; + CHECK(expected == musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(expected || c->error == error); + if (!expected) { + continue; + } + + expected = c->error != MUSIG_AGGNONCE; + CHECK(expected == secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonces[c->aggnonce_index])); + if (!expected) { + continue; + } + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache)); + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0]))); + musig_test_set_secnonce(&secnonce, vector->secnonces[c->secnonce_index], &pubkey); + expected = c->error != MUSIG_SECNONCE; + if (expected) { + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + } else { + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + } + } + for (i = 0; i < sizeof(vector->verify_fail_case)/sizeof(vector->verify_fail_case[0]); i++) { + const struct musig_verify_fail_error_case *c = &vector->verify_fail_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + enum { NUM_PUBNONCES = 3 }; + secp256k1_musig_pubnonce pubnonce[NUM_PUBNONCES]; + const secp256k1_musig_pubnonce *pubnonce_ptr[NUM_PUBNONCES]; + secp256k1_pubkey pubkey; + int expected; + size_t j; + + CHECK(NUM_PUBNONCES <= c->nonce_indices_len); + for (j = 0; j < c->nonce_indices_len; j++) { + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pubnonces[c->nonce_indices[j]])); + pubnonce_ptr[j] = &pubnonce[j]; + } + + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, c->nonce_indices_len) == 1); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache)); + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[c->signer_index], sizeof(vector->pubkeys[0]))); + + expected = c->error != MUSIG_SIG; + CHECK(expected == secp256k1_musig_partial_sig_parse(CTX, &partial_sig, c->sig)); + if (!expected) { + continue; + } + expected = c->error != MUSIG_SIG_VERIFY; + CHECK(expected == secp256k1_musig_partial_sig_verify(CTX, &partial_sig, pubnonce, &pubkey, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->verify_error_case)/sizeof(vector->verify_error_case[0]); i++) { + const struct musig_verify_fail_error_case *c = &vector->verify_error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_pubnonce pubnonce; + int expected; + + expected = c->error != MUSIG_PUBKEY; + CHECK(expected == musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(expected || c->error == error); + if (!expected) { + continue; + } + expected = c->error != MUSIG_PUBNONCE; + CHECK(expected == secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[c->nonce_indices[c->signer_index]])); + } +} + +static void musig_test_vectors_tweak(void) { + size_t i; + const struct musig_tweak_vector *vector = &musig_tweak_vector; + secp256k1_pubkey pubkey; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_secnonce secnonce; + + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonce)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0]))); + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_tweak_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_pubnonce pubnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + secp256k1_keypair keypair; + unsigned char partial_sig32[32]; + + musig_test_set_secnonce(&secnonce, vector->secnonce, &pubkey); + + CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk)); + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msg, &keyagg_cache)); + + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + CHECK(secp256k1_musig_partial_sig_serialize(CTX, partial_sig32, &partial_sig)); + CHECK(secp256k1_memcmp_var(partial_sig32, c->expected, sizeof(partial_sig32)) == 0); + + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[c->nonce_indices[c->signer_index]])); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig, &pubnonce, &pubkey, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_tweak_case *c = &vector->error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + CHECK(!musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + CHECK(error == MUSIG_TWEAK); + } +} + +static void musig_test_vectors_sigagg(void) { + size_t i, j; + const struct musig_sig_agg_vector *vector = &musig_sig_agg_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_sig_agg_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + unsigned char final_sig[64]; + secp256k1_musig_keyagg_cache keyagg_cache; + unsigned char agg_pk32[32]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))]; + const secp256k1_musig_partial_sig *partial_sig_ptr[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))]; + + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, agg_pk32, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, c->aggnonce)); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msg, &keyagg_cache)); + for (j = 0; j < c->psig_indices_len; j++) { + CHECK(secp256k1_musig_partial_sig_parse(CTX, &partial_sig[j], vector->psigs[c->psig_indices[j]])); + partial_sig_ptr[j] = &partial_sig[j]; + } + + CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, c->psig_indices_len) == 1); + CHECK(secp256k1_memcmp_var(final_sig, c->expected, sizeof(final_sig)) == 0); + + CHECK(secp256k1_xonly_pubkey_parse(CTX, &agg_pk, agg_pk32)); + CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, vector->msg, sizeof(vector->msg), &agg_pk) == 1); + } + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_sig_agg_case *c = &vector->error_case[i]; + secp256k1_musig_partial_sig partial_sig[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))]; + for (j = 0; j < c->psig_indices_len; j++) { + int expected = c->invalid_sig_idx != (int)j; + CHECK(expected == secp256k1_musig_partial_sig_parse(CTX, &partial_sig[j], vector->psigs[c->psig_indices[j]])); + } + } +} + +/* Since the BIP doesn't provide static test vectors for nonce_gen_counter, we + * define a static test here */ +static void musig_test_static_nonce_gen_counter(void) { + secp256k1_musig_secnonce secnonce; + secp256k1_musig_pubnonce pubnonce; + unsigned char pubnonce66[66]; + secp256k1_pubkey pk; + secp256k1_keypair keypair; + uint64_t nonrepeating_cnt = 0; + unsigned char sk[32] = { + 0xEE, 0xC1, 0xCB, 0x7D, 0x1B, 0x72, 0x54, 0xC5, + 0xCA, 0xB0, 0xD9, 0xC6, 0x1A, 0xB0, 0x2E, 0x64, + 0x3D, 0x46, 0x4A, 0x59, 0xFE, 0x6C, 0x96, 0xA7, + 0xEF, 0xE8, 0x71, 0xF0, 0x7C, 0x5A, 0xEF, 0x54, + }; + unsigned char expected_secnonce[64] = { + 0x84, 0x2F, 0x13, 0x80, 0xCD, 0x17, 0xA1, 0x98, + 0xFC, 0x3D, 0xAD, 0x3B, 0x7D, 0xA7, 0x49, 0x29, + 0x41, 0xF4, 0x69, 0x76, 0xF2, 0x70, 0x2F, 0xF7, + 0xC6, 0x6F, 0x24, 0xF4, 0x72, 0x03, 0x6A, 0xF1, + 0xDA, 0x3F, 0x95, 0x2D, 0xDE, 0x4A, 0x2D, 0xA6, + 0xB6, 0x32, 0x57, 0x07, 0xCE, 0x87, 0xA4, 0xE3, + 0x61, 0x6D, 0x06, 0xFC, 0x5F, 0x81, 0xA9, 0xC9, + 0x93, 0x86, 0xD2, 0x0A, 0x99, 0xCE, 0xCF, 0x99, + }; + unsigned char expected_pubnonce[66] = { + 0x03, 0xA5, 0xB9, 0xB6, 0x90, 0x79, 0x42, 0xEA, + 0xCD, 0xDA, 0x49, 0xA3, 0x66, 0x01, 0x6E, 0xC2, + 0xE6, 0x24, 0x04, 0xA1, 0xBF, 0x4A, 0xB6, 0xD4, + 0xDB, 0x82, 0x06, 0x7B, 0xC3, 0xAD, 0xF0, 0x86, + 0xD7, 0x03, 0x32, 0x05, 0xDB, 0x9E, 0xB3, 0x4D, + 0x5C, 0x7C, 0xE0, 0x28, 0x48, 0xCA, 0xC6, 0x8A, + 0x83, 0xED, 0x73, 0xE3, 0x88, 0x34, 0x77, 0xF5, + 0x63, 0xF2, 0x3C, 0xE9, 0xA1, 0x1A, 0x77, 0x21, + 0xEC, 0x64, + }; + + CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); + CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair)); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce, &pubnonce, nonrepeating_cnt, &keypair, NULL, NULL, NULL) == 1); + + CHECK(secp256k1_memcmp_var(&secnonce.data[4], expected_secnonce, 2*32) == 0); + CHECK(secp256k1_memcmp_var(&secnonce.data[4+2*32], &pk, sizeof(pk)) == 0); + + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce66, &pubnonce) == 1); + CHECK(secp256k1_memcmp_var(pubnonce66, expected_pubnonce, sizeof(pubnonce66)) == 0); +} + +static void run_musig_tests(void) { + int i; + + for (i = 0; i < COUNT; i++) { + musig_simple_test(); + } + musig_api_tests(); + musig_nonce_test(); + for (i = 0; i < COUNT; i++) { + /* Run multiple times to ensure that pk and nonce have different y + * parities */ + musig_tweak_test(); + } + sha256_tag_test(); + musig_test_vectors_keyagg(); + musig_test_vectors_noncegen(); + musig_test_vectors_nonceagg(); + musig_test_vectors_signverify(); + musig_test_vectors_tweak(); + musig_test_vectors_sigagg(); + + musig_test_static_nonce_gen_counter(); +} + +#endif diff --git a/src/secp256k1/src/modules/musig/vectors.h b/src/secp256k1/src/modules/musig/vectors.h new file mode 100644 index 00000000..8407c2a6 --- /dev/null +++ b/src/secp256k1/src/modules/musig/vectors.h @@ -0,0 +1,346 @@ +/** + * Automatically generated by ./tools/test_vectors_musig2_generate.py. + * + * The test vectors for the KeySort function are included in this file. They can + * be found in src/modules/extrakeys/tests_impl.h. */ + +enum MUSIG_ERROR { + MUSIG_PUBKEY, + MUSIG_TWEAK, + MUSIG_PUBNONCE, + MUSIG_AGGNONCE, + MUSIG_SECNONCE, + MUSIG_SIG, + MUSIG_SIG_VERIFY, + MUSIG_OTHER +}; + +struct musig_key_agg_valid_test_case { + size_t key_indices_len; + size_t key_indices[4]; + unsigned char expected[32]; +}; + +struct musig_key_agg_error_test_case { + size_t key_indices_len; + size_t key_indices[4]; + size_t tweak_indices_len; + size_t tweak_indices[1]; + int is_xonly[1]; + enum MUSIG_ERROR error; +}; + +struct musig_key_agg_vector { + unsigned char pubkeys[7][33]; + unsigned char tweaks[2][32]; + struct musig_key_agg_valid_test_case valid_case[4]; + struct musig_key_agg_error_test_case error_case[5]; +}; + +static const struct musig_key_agg_vector musig_key_agg_vector = { + { + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 }, + { 0x02, 0x35, 0x90, 0xA9, 0x4E, 0x76, 0x8F, 0x8E, 0x18, 0x15, 0xC2, 0xF2, 0x4B, 0x4D, 0x80, 0xA8, 0xE3, 0x14, 0x93, 0x16, 0xC3, 0x51, 0x8C, 0xE7, 0xB7, 0xAD, 0x33, 0x83, 0x68, 0xD0, 0x38, 0xCA, 0x66 }, + { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05 }, + { 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 }, + { 0x04, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 } + }, + { + { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }, + { 0x25, 0x2E, 0x4B, 0xD6, 0x74, 0x10, 0xA7, 0x6C, 0xDF, 0x93, 0x3D, 0x30, 0xEA, 0xA1, 0x60, 0x82, 0x14, 0x03, 0x7F, 0x1B, 0x10, 0x5A, 0x01, 0x3E, 0xCC, 0xD3, 0xC5, 0xC1, 0x84, 0xA6, 0x11, 0x0B } + }, + { + { 3, { 0, 1, 2 }, { 0x90, 0x53, 0x9E, 0xED, 0xE5, 0x65, 0xF5, 0xD0, 0x54, 0xF3, 0x2C, 0xC0, 0xC2, 0x20, 0x12, 0x68, 0x89, 0xED, 0x1E, 0x5D, 0x19, 0x3B, 0xAF, 0x15, 0xAE, 0xF3, 0x44, 0xFE, 0x59, 0xD4, 0x61, 0x0C }}, + { 3, { 2, 1, 0 }, { 0x62, 0x04, 0xDE, 0x8B, 0x08, 0x34, 0x26, 0xDC, 0x6E, 0xAF, 0x95, 0x02, 0xD2, 0x70, 0x24, 0xD5, 0x3F, 0xC8, 0x26, 0xBF, 0x7D, 0x20, 0x12, 0x14, 0x8A, 0x05, 0x75, 0x43, 0x5D, 0xF5, 0x4B, 0x2B }}, + { 3, { 0, 0, 0 }, { 0xB4, 0x36, 0xE3, 0xBA, 0xD6, 0x2B, 0x8C, 0xD4, 0x09, 0x96, 0x9A, 0x22, 0x47, 0x31, 0xC1, 0x93, 0xD0, 0x51, 0x16, 0x2D, 0x8C, 0x5A, 0xE8, 0xB1, 0x09, 0x30, 0x61, 0x27, 0xDA, 0x3A, 0xA9, 0x35 }}, + { 4, { 0, 0, 1, 1 }, { 0x69, 0xBC, 0x22, 0xBF, 0xA5, 0xD1, 0x06, 0x30, 0x6E, 0x48, 0xA2, 0x06, 0x79, 0xDE, 0x1D, 0x73, 0x89, 0x38, 0x61, 0x24, 0xD0, 0x75, 0x71, 0xD0, 0xD8, 0x72, 0x68, 0x60, 0x28, 0xC2, 0x6A, 0x3E }}, + }, + { + { 2, { 0, 3 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY }, + { 2, { 0, 4 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY }, + { 2, { 5, 0 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY }, + { 2, { 0, 1 }, 1, { 0 }, { 1 }, MUSIG_TWEAK }, + { 1, { 6 }, 1, { 1 }, { 0 }, MUSIG_TWEAK }, + }, +}; + +struct musig_nonce_gen_test_case { + unsigned char rand_[32]; + int has_sk; + unsigned char sk[32]; + unsigned char pk[33]; + int has_aggpk; + unsigned char aggpk[32]; + int has_msg; + unsigned char msg[32]; + int has_extra_in; + unsigned char extra_in[32]; + unsigned char expected_secnonce[97]; + unsigned char expected_pubnonce[66]; +}; + +struct musig_nonce_gen_vector { + struct musig_nonce_gen_test_case test_case[2]; +}; + +static const struct musig_nonce_gen_vector musig_nonce_gen_vector = { + { + { { 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F }, 1 , { 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02 }, { 0x02, 0x4D, 0x4B, 0x6C, 0xD1, 0x36, 0x10, 0x32, 0xCA, 0x9B, 0xD2, 0xAE, 0xB9, 0xD9, 0x00, 0xAA, 0x4D, 0x45, 0xD9, 0xEA, 0xD8, 0x0A, 0xC9, 0x42, 0x33, 0x74, 0xC4, 0x51, 0xA7, 0x25, 0x4D, 0x07, 0x66 }, 1 , { 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07 }, 1 , { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, 1 , { 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08 }, { 0xB1, 0x14, 0xE5, 0x02, 0xBE, 0xAA, 0x4E, 0x30, 0x1D, 0xD0, 0x8A, 0x50, 0x26, 0x41, 0x72, 0xC8, 0x4E, 0x41, 0x65, 0x0E, 0x6C, 0xB7, 0x26, 0xB4, 0x10, 0xC0, 0x69, 0x4D, 0x59, 0xEF, 0xFB, 0x64, 0x95, 0xB5, 0xCA, 0xF2, 0x8D, 0x04, 0x5B, 0x97, 0x3D, 0x63, 0xE3, 0xC9, 0x9A, 0x44, 0xB8, 0x07, 0xBD, 0xE3, 0x75, 0xFD, 0x6C, 0xB3, 0x9E, 0x46, 0xDC, 0x4A, 0x51, 0x17, 0x08, 0xD0, 0xE9, 0xD2, 0x02, 0x4D, 0x4B, 0x6C, 0xD1, 0x36, 0x10, 0x32, 0xCA, 0x9B, 0xD2, 0xAE, 0xB9, 0xD9, 0x00, 0xAA, 0x4D, 0x45, 0xD9, 0xEA, 0xD8, 0x0A, 0xC9, 0x42, 0x33, 0x74, 0xC4, 0x51, 0xA7, 0x25, 0x4D, 0x07, 0x66 }, { 0x02, 0xF7, 0xBE, 0x70, 0x89, 0xE8, 0x37, 0x6E, 0xB3, 0x55, 0x27, 0x23, 0x68, 0x76, 0x6B, 0x17, 0xE8, 0x8E, 0x7D, 0xB7, 0x20, 0x47, 0xD0, 0x5E, 0x56, 0xAA, 0x88, 0x1E, 0xA5, 0x2B, 0x3B, 0x35, 0xDF, 0x02, 0xC2, 0x9C, 0x80, 0x46, 0xFD, 0xD0, 0xDE, 0xD4, 0xC7, 0xE5, 0x58, 0x69, 0x13, 0x72, 0x00, 0xFB, 0xDB, 0xFE, 0x2E, 0xB6, 0x54, 0x26, 0x7B, 0x6D, 0x70, 0x13, 0x60, 0x2C, 0xAE, 0xD3, 0x11, 0x5A } }, + { { 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F }, 0 , { 0 }, { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, 0 , { 0 }, 0 , { 0 }, 0 , { 0 }, { 0x89, 0xBD, 0xD7, 0x87, 0xD0, 0x28, 0x4E, 0x5E, 0x4D, 0x5F, 0xC5, 0x72, 0xE4, 0x9E, 0x31, 0x6B, 0xAB, 0x7E, 0x21, 0xE3, 0xB1, 0x83, 0x0D, 0xE3, 0x7D, 0xFE, 0x80, 0x15, 0x6F, 0xA4, 0x1A, 0x6D, 0x0B, 0x17, 0xAE, 0x8D, 0x02, 0x4C, 0x53, 0x67, 0x96, 0x99, 0xA6, 0xFD, 0x79, 0x44, 0xD9, 0xC4, 0xA3, 0x66, 0xB5, 0x14, 0xBA, 0xF4, 0x30, 0x88, 0xE0, 0x70, 0x8B, 0x10, 0x23, 0xDD, 0x28, 0x97, 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, { 0x02, 0xC9, 0x6E, 0x7C, 0xB1, 0xE8, 0xAA, 0x5D, 0xAC, 0x64, 0xD8, 0x72, 0x94, 0x79, 0x14, 0x19, 0x8F, 0x60, 0x7D, 0x90, 0xEC, 0xDE, 0x52, 0x00, 0xDE, 0x52, 0x97, 0x8A, 0xD5, 0xDE, 0xD6, 0x3C, 0x00, 0x02, 0x99, 0xEC, 0x51, 0x17, 0xC2, 0xD2, 0x9E, 0xDE, 0xE8, 0xA2, 0x09, 0x25, 0x87, 0xC3, 0x90, 0x9B, 0xE6, 0x94, 0xD5, 0xCF, 0xF0, 0x66, 0x7D, 0x6C, 0x02, 0xEA, 0x40, 0x59, 0xF7, 0xCD, 0x97, 0x86 } }, + }, +}; + +struct musig_nonce_agg_test_case { + size_t pnonce_indices[2]; + /* if valid case */ + unsigned char expected[66]; + /* if error case */ + int invalid_nonce_idx; +}; + +struct musig_nonce_agg_vector { + unsigned char pnonces[7][66]; + struct musig_nonce_agg_test_case valid_case[2]; + struct musig_nonce_agg_test_case error_case[3]; +}; + +static const struct musig_nonce_agg_vector musig_nonce_agg_vector = { + { + { 0x02, 0x01, 0x51, 0xC8, 0x0F, 0x43, 0x56, 0x48, 0xDF, 0x67, 0xA2, 0x2B, 0x74, 0x9C, 0xD7, 0x98, 0xCE, 0x54, 0xE0, 0x32, 0x1D, 0x03, 0x4B, 0x92, 0xB7, 0x09, 0xB5, 0x67, 0xD6, 0x0A, 0x42, 0xE6, 0x66, 0x03, 0xBA, 0x47, 0xFB, 0xC1, 0x83, 0x44, 0x37, 0xB3, 0x21, 0x2E, 0x89, 0xA8, 0x4D, 0x84, 0x25, 0xE7, 0xBF, 0x12, 0xE0, 0x24, 0x5D, 0x98, 0x26, 0x22, 0x68, 0xEB, 0xDC, 0xB3, 0x85, 0xD5, 0x06, 0x41 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x33 }, + { 0x02, 0x01, 0x51, 0xC8, 0x0F, 0x43, 0x56, 0x48, 0xDF, 0x67, 0xA2, 0x2B, 0x74, 0x9C, 0xD7, 0x98, 0xCE, 0x54, 0xE0, 0x32, 0x1D, 0x03, 0x4B, 0x92, 0xB7, 0x09, 0xB5, 0x67, 0xD6, 0x0A, 0x42, 0xE6, 0x66, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x03, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x04, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x33 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x31 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 } + }, + { + { { 0, 1 }, { 0x03, 0x5F, 0xE1, 0x87, 0x3B, 0x4F, 0x29, 0x67, 0xF5, 0x2F, 0xEA, 0x4A, 0x06, 0xAD, 0x5A, 0x8E, 0xCC, 0xBE, 0x9D, 0x0F, 0xD7, 0x30, 0x68, 0x01, 0x2C, 0x89, 0x4E, 0x2E, 0x87, 0xCC, 0xB5, 0x80, 0x4B, 0x02, 0x47, 0x25, 0x37, 0x73, 0x45, 0xBD, 0xE0, 0xE9, 0xC3, 0x3A, 0xF3, 0xC4, 0x3C, 0x0A, 0x29, 0xA9, 0x24, 0x9F, 0x2F, 0x29, 0x56, 0xFA, 0x8C, 0xFE, 0xB5, 0x5C, 0x85, 0x73, 0xD0, 0x26, 0x2D, 0xC8 }, 0 }, + { { 2, 3 }, { 0x03, 0x5F, 0xE1, 0x87, 0x3B, 0x4F, 0x29, 0x67, 0xF5, 0x2F, 0xEA, 0x4A, 0x06, 0xAD, 0x5A, 0x8E, 0xCC, 0xBE, 0x9D, 0x0F, 0xD7, 0x30, 0x68, 0x01, 0x2C, 0x89, 0x4E, 0x2E, 0x87, 0xCC, 0xB5, 0x80, 0x4B, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, 0 }, + }, + { + { { 0, 4 }, { 0 }, 1 }, + { { 5, 1 }, { 0 }, 0 }, + { { 6, 1 }, { 0 }, 0 }, + }, +}; + +/* Omit pubnonces in the test vectors because our partial signature verification + * implementation is able to accept the aggnonce directly. */ +struct musig_valid_case { + size_t key_indices_len; + size_t key_indices[3]; + size_t aggnonce_index; + size_t msg_index; + size_t signer_index; + unsigned char expected[32]; +}; + +struct musig_sign_error_case { + size_t key_indices_len; + size_t key_indices[3]; + size_t aggnonce_index; + size_t msg_index; + size_t secnonce_index; + enum MUSIG_ERROR error; +}; + +struct musig_verify_fail_error_case { + unsigned char sig[32]; + size_t key_indices_len; + size_t key_indices[3]; + size_t nonce_indices_len; + size_t nonce_indices[3]; + size_t msg_index; + size_t signer_index; + enum MUSIG_ERROR error; +}; + +struct musig_sign_verify_vector { + unsigned char sk[32]; + unsigned char pubkeys[4][33]; + unsigned char secnonces[2][194]; + unsigned char pubnonces[5][194]; + unsigned char aggnonces[5][66]; + unsigned char msgs[1][32]; + struct musig_valid_case valid_case[4]; + struct musig_sign_error_case sign_error_case[6]; + struct musig_verify_fail_error_case verify_fail_case[3]; + struct musig_verify_fail_error_case verify_error_case[2]; +}; + +static const struct musig_sign_verify_vector musig_sign_verify_vector = { + { 0x7F, 0xB9, 0xE0, 0xE6, 0x87, 0xAD, 0xA1, 0xEE, 0xBF, 0x7E, 0xCF, 0xE2, 0xF2, 0x1E, 0x73, 0xEB, 0xDB, 0x51, 0xA7, 0xD4, 0x50, 0x94, 0x8D, 0xFE, 0x8D, 0x76, 0xD7, 0xF2, 0xD1, 0x00, 0x76, 0x71 }, + { + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x61 }, + { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07 } + }, + { + { 0x50, 0x8B, 0x81, 0xA6, 0x11, 0xF1, 0x00, 0xA6, 0xB2, 0xB6, 0xB2, 0x96, 0x56, 0x59, 0x08, 0x98, 0xAF, 0x48, 0x8B, 0xCF, 0x2E, 0x1F, 0x55, 0xCF, 0x22, 0xE5, 0xCF, 0xB8, 0x44, 0x21, 0xFE, 0x61, 0xFA, 0x27, 0xFD, 0x49, 0xB1, 0xD5, 0x00, 0x85, 0xB4, 0x81, 0x28, 0x5E, 0x1C, 0xA2, 0x05, 0xD5, 0x5C, 0x82, 0xCC, 0x1B, 0x31, 0xFF, 0x5C, 0xD5, 0x4A, 0x48, 0x98, 0x29, 0x35, 0x59, 0x01, 0xF7, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 } + }, + { + { 0x03, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }, + { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x03, 0x2D, 0xE2, 0x66, 0x26, 0x28, 0xC9, 0x0B, 0x03, 0xF5, 0xE7, 0x20, 0x28, 0x4E, 0xB5, 0x2F, 0xF7, 0xD7, 0x1F, 0x42, 0x84, 0xF6, 0x27, 0xB6, 0x8A, 0x85, 0x3D, 0x78, 0xC7, 0x8E, 0x1F, 0xFE, 0x93, 0x03, 0xE4, 0xC5, 0x52, 0x4E, 0x83, 0xFF, 0xE1, 0x49, 0x3B, 0x90, 0x77, 0xCF, 0x1C, 0xA6, 0xBE, 0xB2, 0x09, 0x0C, 0x93, 0xD9, 0x30, 0x32, 0x10, 0x71, 0xAD, 0x40, 0xB2, 0xF4, 0x4E, 0x59, 0x90, 0x46 }, + { 0x02, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x03, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }, + { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 } + }, + { + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x04, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 }, + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09 }, + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 } + }, + { + { 0xF9, 0x54, 0x66, 0xD0, 0x86, 0x77, 0x0E, 0x68, 0x99, 0x64, 0x66, 0x42, 0x19, 0x26, 0x6F, 0xE5, 0xED, 0x21, 0x5C, 0x92, 0xAE, 0x20, 0xBA, 0xB5, 0xC9, 0xD7, 0x9A, 0xDD, 0xDD, 0xF3, 0xC0, 0xCF } + }, + { + { 3, { 0, 1, 2 }, 0, 0, 0, { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }}, + { 3, { 1, 0, 2 }, 0, 0, 1, { 0x9F, 0xF2, 0xF7, 0xAA, 0xA8, 0x56, 0x15, 0x0C, 0xC8, 0x81, 0x92, 0x54, 0x21, 0x8D, 0x3A, 0xDE, 0xEB, 0x05, 0x35, 0x26, 0x90, 0x51, 0x89, 0x77, 0x24, 0xF9, 0xDB, 0x37, 0x89, 0x51, 0x3A, 0x52 }}, + { 3, { 1, 2, 0 }, 0, 0, 2, { 0xFA, 0x23, 0xC3, 0x59, 0xF6, 0xFA, 0xC4, 0xE7, 0x79, 0x6B, 0xB9, 0x3B, 0xC9, 0xF0, 0x53, 0x2A, 0x95, 0x46, 0x8C, 0x53, 0x9B, 0xA2, 0x0F, 0xF8, 0x6D, 0x7C, 0x76, 0xED, 0x92, 0x22, 0x79, 0x00 }}, + { 2, { 0, 1 }, 1, 0, 0, { 0xAE, 0x38, 0x60, 0x64, 0xB2, 0x61, 0x05, 0x40, 0x47, 0x98, 0xF7, 0x5D, 0xE2, 0xEB, 0x9A, 0xF5, 0xED, 0xA5, 0x38, 0x7B, 0x06, 0x4B, 0x83, 0xD0, 0x49, 0xCB, 0x7C, 0x5E, 0x08, 0x87, 0x95, 0x31 }}, + }, + { + { 2, { 1, 2 }, 0, 0, 0, MUSIG_PUBKEY }, + { 3, { 1, 0, 3 }, 0, 0, 0, MUSIG_PUBKEY }, + { 3, { 1, 2, 0 }, 2, 0, 0, MUSIG_AGGNONCE }, + { 3, { 1, 2, 0 }, 3, 0, 0, MUSIG_AGGNONCE }, + { 3, { 1, 2, 0 }, 4, 0, 0, MUSIG_AGGNONCE }, + { 3, { 0, 1, 2 }, 0, 0, 1, MUSIG_SECNONCE }, + }, + { + { { 0xFE, 0xD5, 0x44, 0x34, 0xAD, 0x4C, 0xFE, 0x95, 0x3F, 0xC5, 0x27, 0xDC, 0x6A, 0x5E, 0x5B, 0xE8, 0xF6, 0x23, 0x49, 0x07, 0xB7, 0xC1, 0x87, 0x55, 0x95, 0x57, 0xCE, 0x87, 0xA0, 0x54, 0x1C, 0x46 }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_SIG_VERIFY }, + { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 1, MUSIG_SIG_VERIFY }, + { { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_SIG }, + }, + { + { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 0, 1, 2 }, 3, { 4, 1, 2 }, 0, 0, MUSIG_PUBNONCE }, + { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 3, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_PUBKEY }, + }, +}; + +struct musig_tweak_case { + size_t key_indices_len; + size_t key_indices[3]; + size_t nonce_indices_len; + size_t nonce_indices[3]; + size_t tweak_indices_len; + size_t tweak_indices[4]; + int is_xonly[4]; + size_t signer_index; + unsigned char expected[32]; +}; + +struct musig_tweak_vector { + unsigned char sk[32]; + unsigned char secnonce[97]; + unsigned char aggnonce[66]; + unsigned char msg[32]; + unsigned char pubkeys[3][33]; + unsigned char pubnonces[3][194]; + unsigned char tweaks[5][32]; + struct musig_tweak_case valid_case[5]; + struct musig_tweak_case error_case[1]; +}; + +static const struct musig_tweak_vector musig_tweak_vector = { + { 0x7F, 0xB9, 0xE0, 0xE6, 0x87, 0xAD, 0xA1, 0xEE, 0xBF, 0x7E, 0xCF, 0xE2, 0xF2, 0x1E, 0x73, 0xEB, 0xDB, 0x51, 0xA7, 0xD4, 0x50, 0x94, 0x8D, 0xFE, 0x8D, 0x76, 0xD7, 0xF2, 0xD1, 0x00, 0x76, 0x71 }, + { 0x50, 0x8B, 0x81, 0xA6, 0x11, 0xF1, 0x00, 0xA6, 0xB2, 0xB6, 0xB2, 0x96, 0x56, 0x59, 0x08, 0x98, 0xAF, 0x48, 0x8B, 0xCF, 0x2E, 0x1F, 0x55, 0xCF, 0x22, 0xE5, 0xCF, 0xB8, 0x44, 0x21, 0xFE, 0x61, 0xFA, 0x27, 0xFD, 0x49, 0xB1, 0xD5, 0x00, 0x85, 0xB4, 0x81, 0x28, 0x5E, 0x1C, 0xA2, 0x05, 0xD5, 0x5C, 0x82, 0xCC, 0x1B, 0x31, 0xFF, 0x5C, 0xD5, 0x4A, 0x48, 0x98, 0x29, 0x35, 0x59, 0x01, 0xF7, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 }, + { 0xF9, 0x54, 0x66, 0xD0, 0x86, 0x77, 0x0E, 0x68, 0x99, 0x64, 0x66, 0x42, 0x19, 0x26, 0x6F, 0xE5, 0xED, 0x21, 0x5C, 0x92, 0xAE, 0x20, 0xBA, 0xB5, 0xC9, 0xD7, 0x9A, 0xDD, 0xDD, 0xF3, 0xC0, 0xCF }, + { + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 } + }, + { + { 0x03, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }, + { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x03, 0x2D, 0xE2, 0x66, 0x26, 0x28, 0xC9, 0x0B, 0x03, 0xF5, 0xE7, 0x20, 0x28, 0x4E, 0xB5, 0x2F, 0xF7, 0xD7, 0x1F, 0x42, 0x84, 0xF6, 0x27, 0xB6, 0x8A, 0x85, 0x3D, 0x78, 0xC7, 0x8E, 0x1F, 0xFE, 0x93, 0x03, 0xE4, 0xC5, 0x52, 0x4E, 0x83, 0xFF, 0xE1, 0x49, 0x3B, 0x90, 0x77, 0xCF, 0x1C, 0xA6, 0xBE, 0xB2, 0x09, 0x0C, 0x93, 0xD9, 0x30, 0x32, 0x10, 0x71, 0xAD, 0x40, 0xB2, 0xF4, 0x4E, 0x59, 0x90, 0x46 } + }, + { + { 0xE8, 0xF7, 0x91, 0xFF, 0x92, 0x25, 0xA2, 0xAF, 0x01, 0x02, 0xAF, 0xFF, 0x4A, 0x9A, 0x72, 0x3D, 0x96, 0x12, 0xA6, 0x82, 0xA2, 0x5E, 0xBE, 0x79, 0x80, 0x2B, 0x26, 0x3C, 0xDF, 0xCD, 0x83, 0xBB }, + { 0xAE, 0x2E, 0xA7, 0x97, 0xCC, 0x0F, 0xE7, 0x2A, 0xC5, 0xB9, 0x7B, 0x97, 0xF3, 0xC6, 0x95, 0x7D, 0x7E, 0x41, 0x99, 0xA1, 0x67, 0xA5, 0x8E, 0xB0, 0x8B, 0xCA, 0xFF, 0xDA, 0x70, 0xAC, 0x04, 0x55 }, + { 0xF5, 0x2E, 0xCB, 0xC5, 0x65, 0xB3, 0xD8, 0xBE, 0xA2, 0xDF, 0xD5, 0xB7, 0x5A, 0x4F, 0x45, 0x7E, 0x54, 0x36, 0x98, 0x09, 0x32, 0x2E, 0x41, 0x20, 0x83, 0x16, 0x26, 0xF2, 0x90, 0xFA, 0x87, 0xE0 }, + { 0x19, 0x69, 0xAD, 0x73, 0xCC, 0x17, 0x7F, 0xA0, 0xB4, 0xFC, 0xED, 0x6D, 0xF1, 0xF7, 0xBF, 0x99, 0x07, 0xE6, 0x65, 0xFD, 0xE9, 0xBA, 0x19, 0x6A, 0x74, 0xFE, 0xD0, 0xA3, 0xCF, 0x5A, 0xEF, 0x9D }, + { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 } + }, + { + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 0 }, { 1 }, 2, { 0xE2, 0x8A, 0x5C, 0x66, 0xE6, 0x1E, 0x17, 0x8C, 0x2B, 0xA1, 0x9D, 0xB7, 0x7B, 0x6C, 0xF9, 0xF7, 0xE2, 0xF0, 0xF5, 0x6C, 0x17, 0x91, 0x8C, 0xD1, 0x31, 0x35, 0xE6, 0x0C, 0xC8, 0x48, 0xFE, 0x91 }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 0 }, { 0 }, 2, { 0x38, 0xB0, 0x76, 0x77, 0x98, 0x25, 0x2F, 0x21, 0xBF, 0x57, 0x02, 0xC4, 0x80, 0x28, 0xB0, 0x95, 0x42, 0x83, 0x20, 0xF7, 0x3A, 0x4B, 0x14, 0xDB, 0x1E, 0x25, 0xDE, 0x58, 0x54, 0x3D, 0x2D, 0x2D }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 2, { 0, 1 }, { 0, 1 }, 2, { 0x40, 0x8A, 0x0A, 0x21, 0xC4, 0xA0, 0xF5, 0xDA, 0xCA, 0xF9, 0x64, 0x6A, 0xD6, 0xEB, 0x6F, 0xEC, 0xD7, 0xF7, 0xA1, 0x1F, 0x03, 0xED, 0x1F, 0x48, 0xDF, 0xFF, 0x21, 0x85, 0xBC, 0x2C, 0x24, 0x08 }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 4, { 0, 1, 2, 3 }, { 0, 0, 1, 1 }, 2, { 0x45, 0xAB, 0xD2, 0x06, 0xE6, 0x1E, 0x3D, 0xF2, 0xEC, 0x9E, 0x26, 0x4A, 0x6F, 0xEC, 0x82, 0x92, 0x14, 0x1A, 0x63, 0x3C, 0x28, 0x58, 0x63, 0x88, 0x23, 0x55, 0x41, 0xF9, 0xAD, 0xE7, 0x54, 0x35 }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 4, { 0, 1, 2, 3 }, { 1, 0, 1, 0 }, 2, { 0xB2, 0x55, 0xFD, 0xCA, 0xC2, 0x7B, 0x40, 0xC7, 0xCE, 0x78, 0x48, 0xE2, 0xD3, 0xB7, 0xBF, 0x5E, 0xA0, 0xED, 0x75, 0x6D, 0xA8, 0x15, 0x65, 0xAC, 0x80, 0x4C, 0xCC, 0xA3, 0xE1, 0xD5, 0xD2, 0x39 }}, + }, + { + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 4 }, { 0 }, 2, { 0 }}, + }, +}; + +/* Omit pubnonces in the test vectors because they're only needed for + * implementations that do not directly accept an aggnonce. */ +struct musig_sig_agg_case { + size_t key_indices_len; + size_t key_indices[2]; + size_t tweak_indices_len; + size_t tweak_indices[3]; + int is_xonly[3]; + unsigned char aggnonce[66]; + size_t psig_indices_len; + size_t psig_indices[2]; + /* if valid case */ + unsigned char expected[64]; + /* if error case */ + int invalid_sig_idx; +}; + +struct musig_sig_agg_vector { + unsigned char pubkeys[4][33]; + unsigned char tweaks[3][32]; + unsigned char psigs[9][32]; + unsigned char msg[32]; + struct musig_sig_agg_case valid_case[4]; + struct musig_sig_agg_case error_case[1]; +}; + +static const struct musig_sig_agg_vector musig_sig_agg_vector = { + { + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0xD2, 0xDC, 0x6F, 0x5D, 0xF7, 0xC5, 0x6A, 0xCF, 0x38, 0xC7, 0xFA, 0x0A, 0xE7, 0xA7, 0x59, 0xAE, 0x30, 0xE1, 0x9B, 0x37, 0x35, 0x9D, 0xFD, 0xE0, 0x15, 0x87, 0x23, 0x24, 0xC7, 0xEF, 0x6E, 0x05 }, + { 0x03, 0xC7, 0xFB, 0x10, 0x1D, 0x97, 0xFF, 0x93, 0x0A, 0xCD, 0x0C, 0x67, 0x60, 0x85, 0x2E, 0xF6, 0x4E, 0x69, 0x08, 0x3D, 0xE0, 0xB0, 0x6A, 0xC6, 0x33, 0x57, 0x24, 0x75, 0x4B, 0xB4, 0xB0, 0x52, 0x2C }, + { 0x02, 0x35, 0x24, 0x33, 0xB2, 0x1E, 0x7E, 0x05, 0xD3, 0xB4, 0x52, 0xB8, 0x1C, 0xAE, 0x56, 0x6E, 0x06, 0xD2, 0xE0, 0x03, 0xEC, 0xE1, 0x6D, 0x10, 0x74, 0xAA, 0xBA, 0x42, 0x89, 0xE0, 0xE3, 0xD5, 0x81 } + }, + { + { 0xB5, 0x11, 0xDA, 0x49, 0x21, 0x82, 0xA9, 0x1B, 0x0F, 0xFB, 0x9A, 0x98, 0x02, 0x0D, 0x55, 0xF2, 0x60, 0xAE, 0x86, 0xD7, 0xEC, 0xBD, 0x03, 0x99, 0xC7, 0x38, 0x3D, 0x59, 0xA5, 0xF2, 0xAF, 0x7C }, + { 0xA8, 0x15, 0xFE, 0x04, 0x9E, 0xE3, 0xC5, 0xAA, 0xB6, 0x63, 0x10, 0x47, 0x7F, 0xBC, 0x8B, 0xCC, 0xCA, 0xC2, 0xF3, 0x39, 0x5F, 0x59, 0xF9, 0x21, 0xC3, 0x64, 0xAC, 0xD7, 0x8A, 0x2F, 0x48, 0xDC }, + { 0x75, 0x44, 0x8A, 0x87, 0x27, 0x4B, 0x05, 0x64, 0x68, 0xB9, 0x77, 0xBE, 0x06, 0xEB, 0x1E, 0x9F, 0x65, 0x75, 0x77, 0xB7, 0x32, 0x0B, 0x0A, 0x33, 0x76, 0xEA, 0x51, 0xFD, 0x42, 0x0D, 0x18, 0xA8 } + }, + { + { 0xB1, 0x5D, 0x2C, 0xD3, 0xC3, 0xD2, 0x2B, 0x04, 0xDA, 0xE4, 0x38, 0xCE, 0x65, 0x3F, 0x6B, 0x4E, 0xCF, 0x04, 0x2F, 0x42, 0xCF, 0xDE, 0xD7, 0xC4, 0x1B, 0x64, 0xAA, 0xF9, 0xB4, 0xAF, 0x53, 0xFB }, + { 0x61, 0x93, 0xD6, 0xAC, 0x61, 0xB3, 0x54, 0xE9, 0x10, 0x5B, 0xBD, 0xC8, 0x93, 0x7A, 0x34, 0x54, 0xA6, 0xD7, 0x05, 0xB6, 0xD5, 0x73, 0x22, 0xA5, 0xA4, 0x72, 0xA0, 0x2C, 0xE9, 0x9F, 0xCB, 0x64 }, + { 0x9A, 0x87, 0xD3, 0xB7, 0x9E, 0xC6, 0x72, 0x28, 0xCB, 0x97, 0x87, 0x8B, 0x76, 0x04, 0x9B, 0x15, 0xDB, 0xD0, 0x5B, 0x81, 0x58, 0xD1, 0x7B, 0x5B, 0x91, 0x14, 0xD3, 0xC2, 0x26, 0x88, 0x75, 0x05 }, + { 0x66, 0xF8, 0x2E, 0xA9, 0x09, 0x23, 0x68, 0x9B, 0x85, 0x5D, 0x36, 0xC6, 0xB7, 0xE0, 0x32, 0xFB, 0x99, 0x70, 0x30, 0x14, 0x81, 0xB9, 0x9E, 0x01, 0xCD, 0xB4, 0xD6, 0xAC, 0x7C, 0x34, 0x7A, 0x15 }, + { 0x4F, 0x5A, 0xEE, 0x41, 0x51, 0x08, 0x48, 0xA6, 0x44, 0x7D, 0xCD, 0x1B, 0xBC, 0x78, 0x45, 0x7E, 0xF6, 0x90, 0x24, 0x94, 0x4C, 0x87, 0xF4, 0x02, 0x50, 0xD3, 0xEF, 0x2C, 0x25, 0xD3, 0x3E, 0xFE }, + { 0xDD, 0xEF, 0x42, 0x7B, 0xBB, 0x84, 0x7C, 0xC0, 0x27, 0xBE, 0xFF, 0x4E, 0xDB, 0x01, 0x03, 0x81, 0x48, 0x91, 0x78, 0x32, 0x25, 0x3E, 0xBC, 0x35, 0x5F, 0xC3, 0x3F, 0x4A, 0x8E, 0x2F, 0xCC, 0xE4 }, + { 0x97, 0xB8, 0x90, 0xA2, 0x6C, 0x98, 0x1D, 0xA8, 0x10, 0x2D, 0x3B, 0xC2, 0x94, 0x15, 0x9D, 0x17, 0x1D, 0x72, 0x81, 0x0F, 0xDF, 0x7C, 0x6A, 0x69, 0x1D, 0xEF, 0x02, 0xF0, 0xF7, 0xAF, 0x3F, 0xDC }, + { 0x53, 0xFA, 0x9E, 0x08, 0xBA, 0x52, 0x43, 0xCB, 0xCB, 0x0D, 0x79, 0x7C, 0x5E, 0xE8, 0x3B, 0xC6, 0x72, 0x8E, 0x53, 0x9E, 0xB7, 0x6C, 0x2D, 0x0B, 0xF0, 0xF9, 0x71, 0xEE, 0x4E, 0x90, 0x99, 0x71 }, + { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 } + }, + { 0x59, 0x9C, 0x67, 0xEA, 0x41, 0x0D, 0x00, 0x5B, 0x9D, 0xA9, 0x08, 0x17, 0xCF, 0x03, 0xED, 0x3B, 0x1C, 0x86, 0x8E, 0x4D, 0xA4, 0xED, 0xF0, 0x0A, 0x58, 0x80, 0xB0, 0x08, 0x2C, 0x23, 0x78, 0x69 }, + { + { 2, { 0, 1 }, 0, { 0 }, { 0 }, { 0x03, 0x41, 0x43, 0x27, 0x22, 0xC5, 0xCD, 0x02, 0x68, 0xD8, 0x29, 0xC7, 0x02, 0xCF, 0x0D, 0x1C, 0xBC, 0xE5, 0x70, 0x33, 0xEE, 0xD2, 0x01, 0xFD, 0x33, 0x51, 0x91, 0x38, 0x52, 0x27, 0xC3, 0x21, 0x0C, 0x03, 0xD3, 0x77, 0xF2, 0xD2, 0x58, 0xB6, 0x4A, 0xAD, 0xC0, 0xE1, 0x6F, 0x26, 0x46, 0x23, 0x23, 0xD7, 0x01, 0xD2, 0x86, 0x04, 0x6A, 0x2E, 0xA9, 0x33, 0x65, 0x65, 0x6A, 0xFD, 0x98, 0x75, 0x98, 0x2B }, 2, { 0, 1 }, { 0x04, 0x1D, 0xA2, 0x22, 0x23, 0xCE, 0x65, 0xC9, 0x2C, 0x9A, 0x0D, 0x6C, 0x2C, 0xAC, 0x82, 0x8A, 0xAF, 0x1E, 0xEE, 0x56, 0x30, 0x4F, 0xEC, 0x37, 0x1D, 0xDF, 0x91, 0xEB, 0xB2, 0xB9, 0xEF, 0x09, 0x12, 0xF1, 0x03, 0x80, 0x25, 0x85, 0x7F, 0xED, 0xEB, 0x3F, 0xF6, 0x96, 0xF8, 0xB9, 0x9F, 0xA4, 0xBB, 0x2C, 0x58, 0x12, 0xF6, 0x09, 0x5A, 0x2E, 0x00, 0x04, 0xEC, 0x99, 0xCE, 0x18, 0xDE, 0x1E }, 0 }, + { 2, { 0, 2 }, 0, { 0 }, { 0 }, { 0x02, 0x24, 0xAF, 0xD3, 0x6C, 0x90, 0x20, 0x84, 0x05, 0x8B, 0x51, 0xB5, 0xD3, 0x66, 0x76, 0xBB, 0xA4, 0xDC, 0x97, 0xC7, 0x75, 0x87, 0x37, 0x68, 0xE5, 0x88, 0x22, 0xF8, 0x7F, 0xE4, 0x37, 0xD7, 0x92, 0x02, 0x8C, 0xB1, 0x59, 0x29, 0x09, 0x9E, 0xEE, 0x2F, 0x5D, 0xAE, 0x40, 0x4C, 0xD3, 0x93, 0x57, 0x59, 0x1B, 0xA3, 0x2E, 0x9A, 0xF4, 0xE1, 0x62, 0xB8, 0xD3, 0xE7, 0xCB, 0x5E, 0xFE, 0x31, 0xCB, 0x20 }, 2, { 2, 3 }, { 0x10, 0x69, 0xB6, 0x7E, 0xC3, 0xD2, 0xF3, 0xC7, 0xC0, 0x82, 0x91, 0xAC, 0xCB, 0x17, 0xA9, 0xC9, 0xB8, 0xF2, 0x81, 0x9A, 0x52, 0xEB, 0x5D, 0xF8, 0x72, 0x6E, 0x17, 0xE7, 0xD6, 0xB5, 0x2E, 0x9F, 0x01, 0x80, 0x02, 0x60, 0xA7, 0xE9, 0xDA, 0xC4, 0x50, 0xF4, 0xBE, 0x52, 0x2D, 0xE4, 0xCE, 0x12, 0xBA, 0x91, 0xAE, 0xAF, 0x2B, 0x42, 0x79, 0x21, 0x9E, 0xF7, 0x4B, 0xE1, 0xD2, 0x86, 0xAD, 0xD9 }, 0 }, + { 2, { 0, 2 }, 1, { 0 }, { 0 }, { 0x02, 0x08, 0xC5, 0xC4, 0x38, 0xC7, 0x10, 0xF4, 0xF9, 0x6A, 0x61, 0xE9, 0xFF, 0x3C, 0x37, 0x75, 0x88, 0x14, 0xB8, 0xC3, 0xAE, 0x12, 0xBF, 0xEA, 0x0E, 0xD2, 0xC8, 0x7F, 0xF6, 0x95, 0x4F, 0xF1, 0x86, 0x02, 0x0B, 0x18, 0x16, 0xEA, 0x10, 0x4B, 0x4F, 0xCA, 0x2D, 0x30, 0x4D, 0x73, 0x3E, 0x0E, 0x19, 0xCE, 0xAD, 0x51, 0x30, 0x3F, 0xF6, 0x42, 0x0B, 0xFD, 0x22, 0x23, 0x35, 0xCA, 0xA4, 0x02, 0x91, 0x6D }, 2, { 4, 5 }, { 0x5C, 0x55, 0x8E, 0x1D, 0xCA, 0xDE, 0x86, 0xDA, 0x0B, 0x2F, 0x02, 0x62, 0x6A, 0x51, 0x2E, 0x30, 0xA2, 0x2C, 0xF5, 0x25, 0x5C, 0xAE, 0xA7, 0xEE, 0x32, 0xC3, 0x8E, 0x9A, 0x71, 0xA0, 0xE9, 0x14, 0x8B, 0xA6, 0xC0, 0xE6, 0xEC, 0x76, 0x83, 0xB6, 0x42, 0x20, 0xF0, 0x29, 0x86, 0x96, 0xF1, 0xB8, 0x78, 0xCD, 0x47, 0xB1, 0x07, 0xB8, 0x1F, 0x71, 0x88, 0x81, 0x2D, 0x59, 0x39, 0x71, 0xE0, 0xCC }, 0 }, + { 2, { 0, 3 }, 3, { 0, 1, 2 }, { 1, 0, 1 }, { 0x02, 0xB5, 0xAD, 0x07, 0xAF, 0xCD, 0x99, 0xB6, 0xD9, 0x2C, 0xB4, 0x33, 0xFB, 0xD2, 0xA2, 0x8F, 0xDE, 0xB9, 0x8E, 0xAE, 0x2E, 0xB0, 0x9B, 0x60, 0x14, 0xEF, 0x0F, 0x81, 0x97, 0xCD, 0x58, 0x40, 0x33, 0x02, 0xE8, 0x61, 0x69, 0x10, 0xF9, 0x29, 0x3C, 0xF6, 0x92, 0xC4, 0x9F, 0x35, 0x1D, 0xB8, 0x6B, 0x25, 0xE3, 0x52, 0x90, 0x1F, 0x0E, 0x23, 0x7B, 0xAF, 0xDA, 0x11, 0xF1, 0xC1, 0xCE, 0xF2, 0x9F, 0xFD }, 2, { 6, 7 }, { 0x83, 0x9B, 0x08, 0x82, 0x0B, 0x68, 0x1D, 0xBA, 0x8D, 0xAF, 0x4C, 0xC7, 0xB1, 0x04, 0xE8, 0xF2, 0x63, 0x8F, 0x93, 0x88, 0xF8, 0xD7, 0xA5, 0x55, 0xDC, 0x17, 0xB6, 0xE6, 0x97, 0x1D, 0x74, 0x26, 0xCE, 0x07, 0xBF, 0x6A, 0xB0, 0x1F, 0x1D, 0xB5, 0x0E, 0x4E, 0x33, 0x71, 0x92, 0x95, 0xF4, 0x09, 0x45, 0x72, 0xB7, 0x98, 0x68, 0xE4, 0x40, 0xFB, 0x3D, 0xEF, 0xD3, 0xFA, 0xC1, 0xDB, 0x58, 0x9E }, 0 }, + }, + { + { 2, { 0, 3 }, 3, { 0, 1, 2 }, { 1, 0, 1 }, { 0x02, 0xB5, 0xAD, 0x07, 0xAF, 0xCD, 0x99, 0xB6, 0xD9, 0x2C, 0xB4, 0x33, 0xFB, 0xD2, 0xA2, 0x8F, 0xDE, 0xB9, 0x8E, 0xAE, 0x2E, 0xB0, 0x9B, 0x60, 0x14, 0xEF, 0x0F, 0x81, 0x97, 0xCD, 0x58, 0x40, 0x33, 0x02, 0xE8, 0x61, 0x69, 0x10, 0xF9, 0x29, 0x3C, 0xF6, 0x92, 0xC4, 0x9F, 0x35, 0x1D, 0xB8, 0x6B, 0x25, 0xE3, 0x52, 0x90, 0x1F, 0x0E, 0x23, 0x7B, 0xAF, 0xDA, 0x11, 0xF1, 0xC1, 0xCE, 0xF2, 0x9F, 0xFD }, 2, { 7, 8 }, { 0 }, 1 }, + }, +}; +enum { MUSIG_VECTORS_MAX_PUBKEYS = 7 }; diff --git a/src/secp256k1/src/modules/recovery/Makefile.am.include b/src/secp256k1/src/modules/recovery/Makefile.am.include index bf23c26e..156ea690 100644 --- a/src/secp256k1/src/modules/recovery/Makefile.am.include +++ b/src/secp256k1/src/modules/recovery/Makefile.am.include @@ -1,8 +1,5 @@ include_HEADERS += include/secp256k1_recovery.h noinst_HEADERS += src/modules/recovery/main_impl.h noinst_HEADERS += src/modules/recovery/tests_impl.h -if USE_BENCHMARK -noinst_PROGRAMS += bench_recover -bench_recover_SOURCES = src/bench_recover.c -bench_recover_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB) -endif +noinst_HEADERS += src/modules/recovery/tests_exhaustive_impl.h +noinst_HEADERS += src/modules/recovery/bench_impl.h diff --git a/src/secp256k1/src/bench_recover.c b/src/secp256k1/src/modules/recovery/bench_impl.h similarity index 65% rename from src/secp256k1/src/bench_recover.c rename to src/secp256k1/src/modules/recovery/bench_impl.h index b806eed9..57108d45 100644 --- a/src/secp256k1/src/bench_recover.c +++ b/src/secp256k1/src/modules/recovery/bench_impl.h @@ -1,13 +1,13 @@ -/********************************************************************** - * Copyright (c) 2014-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ -#include "include/secp256k1.h" -#include "include/secp256k1_recovery.h" -#include "util.h" -#include "bench.h" +#ifndef SECP256K1_MODULE_RECOVERY_BENCH_H +#define SECP256K1_MODULE_RECOVERY_BENCH_H + +#include "../../../include/secp256k1_recovery.h" typedef struct { secp256k1_context *ctx; @@ -15,13 +15,13 @@ typedef struct { unsigned char sig[64]; } bench_recover_data; -void bench_recover(void* arg) { +static void bench_recover(void* arg, int iters) { int i; bench_recover_data *data = (bench_recover_data*)arg; secp256k1_pubkey pubkey; unsigned char pubkeyc[33]; - for (i = 0; i < 20000; i++) { + for (i = 0; i < iters; i++) { int j; size_t pubkeylen = 33; secp256k1_ecdsa_recoverable_signature sig; @@ -36,7 +36,7 @@ void bench_recover(void* arg) { } } -void bench_recover_setup(void* arg) { +static void bench_recover_setup(void* arg) { int i; bench_recover_data *data = (bench_recover_data*)arg; @@ -48,13 +48,15 @@ void bench_recover_setup(void* arg) { } } -int main(void) { +static void run_recovery_bench(int iters, int argc, char** argv) { bench_recover_data data; + int d = argc == 1; - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, 20000); + if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, iters); secp256k1_context_destroy(data.ctx); - return 0; } + +#endif /* SECP256K1_MODULE_RECOVERY_BENCH_H */ diff --git a/src/secp256k1/src/modules/recovery/main_impl.h b/src/secp256k1/src/modules/recovery/main_impl.h index 93d80b10..76a005e0 100644 --- a/src/secp256k1/src/modules/recovery/main_impl.h +++ b/src/secp256k1/src/modules/recovery/main_impl.h @@ -1,13 +1,13 @@ -/********************************************************************** - * Copyright (c) 2013-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_MODULE_RECOVERY_MAIN_H #define SECP256K1_MODULE_RECOVERY_MAIN_H -#include "include/secp256k1_recovery.h" +#include "../../../include/secp256k1_recovery.h" static void secp256k1_ecdsa_recoverable_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, int* recid, const secp256k1_ecdsa_recoverable_signature* sig) { (void)ctx; @@ -40,7 +40,7 @@ int secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context* int ret = 1; int overflow = 0; - (void)ctx; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(sig != NULL); ARG_CHECK(input64 != NULL); ARG_CHECK(recid >= 0 && recid <= 3); @@ -60,7 +60,7 @@ int secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context* int secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, int *recid, const secp256k1_ecdsa_recoverable_signature* sig) { secp256k1_scalar r, s; - (void)ctx; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(output64 != NULL); ARG_CHECK(sig != NULL); ARG_CHECK(recid != NULL); @@ -75,7 +75,7 @@ int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, secp256k1_scalar r, s; int recid; - (void)ctx; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(sig != NULL); ARG_CHECK(sigin != NULL); @@ -84,7 +84,7 @@ int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, return 1; } -static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { +static int secp256k1_ecdsa_sig_recover(const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { unsigned char brx[32]; secp256k1_fe fx; secp256k1_ge x; @@ -98,7 +98,7 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, cons } secp256k1_scalar_get_b32(brx, sigr); - r = secp256k1_fe_set_b32(&fx, brx); + r = secp256k1_fe_set_b32_limit(&fx, brx); (void)r; VERIFY_CHECK(r); /* brx comes from a scalar, so is less than the order; certainly less than p */ if (recid & 2) { @@ -115,74 +115,39 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, cons secp256k1_scalar_mul(&u1, &rn, message); secp256k1_scalar_negate(&u1, &u1); secp256k1_scalar_mul(&u2, &rn, sigs); - secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1); + secp256k1_ecmult(&qj, &xj, &u2, &u1); secp256k1_ge_set_gej_var(pubkey, &qj); return !secp256k1_gej_is_infinity(&qj); } -int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { +int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { secp256k1_scalar r, s; - secp256k1_scalar sec, non, msg; - int recid; - int ret = 0; - int overflow = 0; - const unsigned char secp256k1_ecdsa_recoverable_algo16[17] = "ECDSA+Recovery "; + int ret, recid; VERIFY_CHECK(ctx != NULL); ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - ARG_CHECK(msg32 != NULL); + ARG_CHECK(msghash32 != NULL); ARG_CHECK(signature != NULL); ARG_CHECK(seckey != NULL); - if (noncefp == NULL) { - noncefp = secp256k1_nonce_function_default; - } - secp256k1_scalar_set_b32(&sec, seckey, &overflow); - /* Fail if the secret key is invalid. */ - if (!overflow && !secp256k1_scalar_is_zero(&sec)) { - unsigned char nonce32[32]; - unsigned int count = 0; - secp256k1_scalar_set_b32(&msg, msg32, NULL); - while (1) { - ret = noncefp(nonce32, msg32, seckey, secp256k1_ecdsa_recoverable_algo16, (void*)noncedata, count); - if (!ret) { - break; - } - secp256k1_scalar_set_b32(&non, nonce32, &overflow); - if (!overflow && !secp256k1_scalar_is_zero(&non)) { - if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, &recid)) { - break; - } - } - count++; - } - memset(nonce32, 0, 32); - secp256k1_scalar_clear(&msg); - secp256k1_scalar_clear(&non); - secp256k1_scalar_clear(&sec); - } - if (ret) { - secp256k1_ecdsa_recoverable_signature_save(signature, &r, &s, recid); - } else { - memset(signature, 0, sizeof(*signature)); - } + ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, &recid, msghash32, seckey, noncefp, noncedata); + secp256k1_ecdsa_recoverable_signature_save(signature, &r, &s, recid); return ret; } -int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32) { +int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msghash32) { secp256k1_ge q; secp256k1_scalar r, s; secp256k1_scalar m; int recid; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - ARG_CHECK(msg32 != NULL); + ARG_CHECK(msghash32 != NULL); ARG_CHECK(signature != NULL); ARG_CHECK(pubkey != NULL); secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, signature); VERIFY_CHECK(recid >= 0 && recid < 4); /* should have been caught in parse_compact */ - secp256k1_scalar_set_b32(&m, msg32, NULL); - if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &r, &s, &q, &m, recid)) { + secp256k1_scalar_set_b32(&m, msghash32, NULL); + if (secp256k1_ecdsa_sig_recover(&r, &s, &q, &m, recid)) { secp256k1_pubkey_save(pubkey, &q); return 1; } else { diff --git a/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h b/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h new file mode 100644 index 00000000..6bbc02b9 --- /dev/null +++ b/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h @@ -0,0 +1,148 @@ +/*********************************************************************** + * Copyright (c) 2016 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H +#define SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H + +#include "main_impl.h" +#include "../../../include/secp256k1_recovery.h" + +static void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group) { + int i, j, k; + uint64_t iter = 0; + + /* Loop */ + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { /* message */ + for (j = 1; j < EXHAUSTIVE_TEST_ORDER; j++) { /* key */ + if (skip_section(&iter)) continue; + for (k = 1; k < EXHAUSTIVE_TEST_ORDER; k++) { /* nonce */ + const int starting_k = k; + secp256k1_fe r_dot_y_normalized; + secp256k1_ecdsa_recoverable_signature rsig; + secp256k1_ecdsa_signature sig; + secp256k1_scalar sk, msg, r, s, expected_r; + unsigned char sk32[32], msg32[32]; + int expected_recid; + int recid; + int overflow; + secp256k1_scalar_set_int(&msg, i); + secp256k1_scalar_set_int(&sk, j); + secp256k1_scalar_get_b32(sk32, &sk); + secp256k1_scalar_get_b32(msg32, &msg); + + secp256k1_ecdsa_sign_recoverable(ctx, &rsig, msg32, sk32, secp256k1_nonce_function_smallint, &k); + + /* Check directly */ + secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, &rsig); + r_from_k(&expected_r, group, k, &overflow); + CHECK(r == expected_r); + CHECK((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER || + (k * (EXHAUSTIVE_TEST_ORDER - s)) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER); + /* The recid's second bit is for conveying overflow (R.x value >= group order). + * In the actual secp256k1 this is an astronomically unlikely event, but in the + * small group used here, it will almost certainly be the case for all points. + * Note that this isn't actually useful; full recovery would need to convey + * floor(R.x / group_order), but only one bit is used as that is sufficient + * in the real group. */ + expected_recid = overflow ? 2 : 0; + r_dot_y_normalized = group[k].y; + secp256k1_fe_normalize(&r_dot_y_normalized); + /* Also the recovery id is flipped depending if we hit the low-s branch */ + if ((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER) { + expected_recid |= secp256k1_fe_is_odd(&r_dot_y_normalized); + } else { + expected_recid |= !secp256k1_fe_is_odd(&r_dot_y_normalized); + } + CHECK(recid == expected_recid); + + /* Convert to a standard sig then check */ + secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig); + secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig); + /* Note that we compute expected_r *after* signing -- this is important + * because our nonce-computing function function might change k during + * signing. */ + r_from_k(&expected_r, group, k, NULL); + CHECK(r == expected_r); + CHECK((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER || + (k * (EXHAUSTIVE_TEST_ORDER - s)) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER); + + /* Overflow means we've tried every possible nonce */ + if (k < starting_k) { + break; + } + } + } + } +} + +static void test_exhaustive_recovery_verify(const secp256k1_context *ctx, const secp256k1_ge *group) { + /* This is essentially a copy of test_exhaustive_verify, with recovery added */ + int s, r, msg, key; + uint64_t iter = 0; + for (s = 1; s < EXHAUSTIVE_TEST_ORDER; s++) { + for (r = 1; r < EXHAUSTIVE_TEST_ORDER; r++) { + for (msg = 1; msg < EXHAUSTIVE_TEST_ORDER; msg++) { + for (key = 1; key < EXHAUSTIVE_TEST_ORDER; key++) { + secp256k1_ge nonconst_ge; + secp256k1_ecdsa_recoverable_signature rsig; + secp256k1_ecdsa_signature sig; + secp256k1_pubkey pk; + secp256k1_scalar sk_s, msg_s, r_s, s_s; + secp256k1_scalar s_times_k_s, msg_plus_r_times_sk_s; + int recid = 0; + int k, should_verify; + unsigned char msg32[32]; + + if (skip_section(&iter)) continue; + + secp256k1_scalar_set_int(&s_s, s); + secp256k1_scalar_set_int(&r_s, r); + secp256k1_scalar_set_int(&msg_s, msg); + secp256k1_scalar_set_int(&sk_s, key); + secp256k1_scalar_get_b32(msg32, &msg_s); + + /* Verify by hand */ + /* Run through every k value that gives us this r and check that *one* works. + * Note there could be none, there could be multiple, ECDSA is weird. */ + should_verify = 0; + for (k = 0; k < EXHAUSTIVE_TEST_ORDER; k++) { + secp256k1_scalar check_x_s; + r_from_k(&check_x_s, group, k, NULL); + if (r_s == check_x_s) { + secp256k1_scalar_set_int(&s_times_k_s, k); + secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s); + secp256k1_scalar_mul(&msg_plus_r_times_sk_s, &r_s, &sk_s); + secp256k1_scalar_add(&msg_plus_r_times_sk_s, &msg_plus_r_times_sk_s, &msg_s); + should_verify |= secp256k1_scalar_eq(&s_times_k_s, &msg_plus_r_times_sk_s); + } + } + /* nb we have a "high s" rule */ + should_verify &= !secp256k1_scalar_is_high(&s_s); + + /* We would like to try recovering the pubkey and checking that it matches, + * but pubkey recovery is impossible in the exhaustive tests (the reason + * being that there are 12 nonzero r values, 12 nonzero points, and no + * overlap between the sets, so there are no valid signatures). */ + + /* Verify by converting to a standard signature and calling verify */ + secp256k1_ecdsa_recoverable_signature_save(&rsig, &r_s, &s_s, recid); + secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig); + memcpy(&nonconst_ge, &group[sk_s], sizeof(nonconst_ge)); + secp256k1_pubkey_save(&pk, &nonconst_ge); + CHECK(should_verify == + secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk)); + } + } + } + } +} + +static void test_exhaustive_recovery(const secp256k1_context *ctx, const secp256k1_ge *group) { + test_exhaustive_recovery_sign(ctx, group); + test_exhaustive_recovery_verify(ctx, group); +} + +#endif /* SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H */ diff --git a/src/secp256k1/src/modules/recovery/tests_impl.h b/src/secp256k1/src/modules/recovery/tests_impl.h index 6ad8dc35..7a28a3ce 100644 --- a/src/secp256k1/src/modules/recovery/tests_impl.h +++ b/src/secp256k1/src/modules/recovery/tests_impl.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_MODULE_RECOVERY_TESTS_H #define SECP256K1_MODULE_RECOVERY_TESTS_H @@ -25,22 +25,17 @@ static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned c } /* On the next run, return a valid nonce, but flip a coin as to whether or not to fail signing. */ memset(nonce32, 1, 32); - return secp256k1_rand_bits(1); + return testrand_bits(1); } -void test_ecdsa_recovery_api(void) { +static void test_ecdsa_recovery_api(void) { /* Setup contexts that just count errors */ - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); secp256k1_pubkey pubkey; secp256k1_pubkey recpubkey; secp256k1_ecdsa_signature normal_sig; secp256k1_ecdsa_recoverable_signature recsig; unsigned char privkey[32] = { 1 }; unsigned char message[32] = { 2 }; - int32_t ecount = 0; int recid = 0; unsigned char sig[74]; unsigned char zero_privkey[32] = { 0 }; @@ -49,105 +44,55 @@ void test_ecdsa_recovery_api(void) { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }; - secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(both, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(both, counting_illegal_callback_fn, &ecount); - /* Construct and verify corresponding public key. */ - CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); + CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1); /* Check bad contexts and NULLs for signing */ - ecount = 0; - CHECK(secp256k1_ecdsa_sign_recoverable(none, &recsig, message, privkey, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign_recoverable(sign, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign_recoverable(vrfy, &recsig, message, privkey, NULL, NULL) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign_recoverable(both, NULL, message, privkey, NULL, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, NULL, privkey, NULL, NULL) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, NULL, NULL, NULL) == 0); - CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, NULL, message, privkey, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, &recsig, NULL, privkey, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, NULL, NULL, NULL)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ecdsa_sign_recoverable(STATIC_CTX, &recsig, message, privkey, NULL, NULL)); /* This will fail or succeed randomly, and in either case will not ARG_CHECK failure */ - secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, recovery_test_nonce_function, NULL); - CHECK(ecount == 5); + secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, recovery_test_nonce_function, NULL); /* These will all fail, but not in ARG_CHECK way */ - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, zero_privkey, NULL, NULL) == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, over_privkey, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, zero_privkey, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, over_privkey, NULL, NULL) == 0); /* This one will succeed. */ - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1); /* Check signing with a goofy nonce function */ /* Check bad contexts and NULLs for recovery */ - ecount = 0; - CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recover(vrfy, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recover(both, NULL, &recsig, message) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_recover(both, &recpubkey, NULL, message) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, NULL) == 0); - CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, message) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, NULL, &recsig, message)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, &recpubkey, NULL, message)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, NULL)); /* Check NULLs for conversion */ - CHECK(secp256k1_ecdsa_sign(both, &normal_sig, message, privkey, NULL, NULL) == 1); - ecount = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, NULL, &recsig) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, NULL) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, &recsig) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &normal_sig, message, privkey, NULL, NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_convert(CTX, NULL, &recsig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, NULL)); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, &recsig) == 1); /* Check NULLs for de/serialization */ - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); - ecount = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, NULL, &recid, &recsig) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, NULL, &recsig) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, &recsig) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, NULL, &recid, &recsig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, NULL, &recsig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, NULL)); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &recsig) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, NULL, sig, recid) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, NULL, recid) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, -1) == 0); - CHECK(ecount == 6); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, 5) == 0); - CHECK(ecount == 7); - /* overflow in signature will fail but not affect ecount */ + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, NULL, sig, recid)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, NULL, recid)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, -1)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, 5)); + /* overflow in signature will not result in calling illegal_callback */ memcpy(sig, over_privkey, 32); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, recid) == 0); - CHECK(ecount == 7); - - /* cleanup */ - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(vrfy); - secp256k1_context_destroy(both); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, recid) == 0); } -void test_ecdsa_recovery_end_to_end(void) { +static void test_ecdsa_recovery_end_to_end(void) { unsigned char extra[32] = {0x00}; unsigned char privkey[32]; unsigned char message[32]; @@ -161,51 +106,52 @@ void test_ecdsa_recovery_end_to_end(void) { /* Generate a random key and message. */ { secp256k1_scalar msg, key; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); secp256k1_scalar_get_b32(privkey, &key); secp256k1_scalar_get_b32(message, &msg); } /* Construct and verify corresponding public key. */ - CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); + CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1); /* Serialize/parse compact and verify/recover. */ extra[0] = 0; - CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[0], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[4], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[1], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[0], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &signature[0], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[4], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[1], message, privkey, NULL, extra) == 1); extra[31] = 1; - CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[2], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[2], message, privkey, NULL, extra) == 1); extra[31] = 0; extra[0] = 1; - CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[3], message, privkey, NULL, extra) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[3], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &rsignature[4]) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1); + CHECK(secp256k1_memcmp_var(&signature[4], &signature[0], 64) == 0); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 1); memset(&rsignature[4], 0, sizeof(rsignature[4])); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 1); /* Parse compact (with recovery id) and recover. */ - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); - CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, &rsignature[4], message) == 1); - CHECK(memcmp(&pubkey, &recpubkey, sizeof(pubkey)) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1); + CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &rsignature[4], message) == 1); + CHECK(secp256k1_memcmp_var(&pubkey, &recpubkey, sizeof(pubkey)) == 0); /* Serialize/destroy/parse signature and verify again. */ - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1); - sig[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &rsignature[4]) == 1); + sig[testrand_bits(6)] += 1 + testrand_int(255); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 0); /* Recover again */ - CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, &rsignature[4], message) == 0 || - memcmp(&pubkey, &recpubkey, sizeof(pubkey)) != 0); + CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &rsignature[4], message) == 0 || + secp256k1_memcmp_var(&pubkey, &recpubkey, sizeof(pubkey)) != 0); } /* Tests several edge cases. */ -void test_ecdsa_recovery_edge_cases(void) { +static void test_ecdsa_recovery_edge_cases(void) { const unsigned char msg32[32] = { 'T', 'h', 'i', 's', ' ', 'i', 's', ' ', 'a', ' ', 'v', 'e', 'r', 'y', ' ', 's', @@ -241,14 +187,14 @@ void test_ecdsa_recovery_edge_cases(void) { secp256k1_ecdsa_signature sig; int recid; - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 0)); - CHECK(!secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 1)); - CHECK(secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 2)); - CHECK(!secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 3)); - CHECK(!secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 0)); + CHECK(!secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 1)); + CHECK(secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 2)); + CHECK(!secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 3)); + CHECK(!secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32)); for (recid = 0; recid < 4; recid++) { int i; @@ -293,40 +239,40 @@ void test_ecdsa_recovery_edge_cases(void) { 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x45, 0x02, 0x01, 0x04 }; - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid) == 1); - CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 1); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigb64, recid) == 1); + CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyb, &rsig, msg32) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 1); for (recid2 = 0; recid2 < 4; recid2++) { secp256k1_pubkey pubkey2b; - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid2) == 1); - CHECK(secp256k1_ecdsa_recover(ctx, &pubkey2b, &rsig, msg32) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigb64, recid2) == 1); + CHECK(secp256k1_ecdsa_recover(CTX, &pubkey2b, &rsig, msg32) == 1); /* Verifying with (order + r,4) should always fail. */ - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderlong, sizeof(sigbderlong)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderlong, sizeof(sigbderlong)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0); } /* DER parsing tests. */ /* Zero length r/s. */ - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zr, sizeof(sigcder_zr)) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zs, sizeof(sigcder_zs)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder_zr, sizeof(sigcder_zr)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder_zs, sizeof(sigcder_zs)) == 0); /* Leading zeros. */ - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt1, sizeof(sigbderalt1)) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt2, sizeof(sigbderalt2)) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt1, sizeof(sigbderalt1)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt2, sizeof(sigbderalt2)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt3, sizeof(sigbderalt3)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt4, sizeof(sigbderalt4)) == 0); sigbderalt3[4] = 1; - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0); sigbderalt4[7] = 1; - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0); /* Damage signature. */ sigbder[7]++; - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0); sigbder[7]--; - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, 6) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder) - 1) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, 6) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder) - 1) == 0); for(i = 0; i < 8; i++) { int c; unsigned char orig = sigbder[i]; @@ -336,7 +282,7 @@ void test_ecdsa_recovery_edge_cases(void) { continue; } sigbder[i] = c; - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 0 || secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder)) == 0 || secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0); } sigbder[i] = orig; } @@ -357,33 +303,33 @@ void test_ecdsa_recovery_edge_cases(void) { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, }; secp256k1_pubkey pubkeyc; - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1); - CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyc, &rsig, msg32) == 1); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigc64, 0) == 1); + CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyc, &rsig, msg32) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder, sizeof(sigcder)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyc) == 1); sigcder[4] = 0; sigc64[31] = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1); - CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigc64, 0) == 1); + CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyb, &rsig, msg32) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder, sizeof(sigcder)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyc) == 0); sigcder[4] = 1; sigcder[7] = 0; sigc64[31] = 1; sigc64[63] = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1); - CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 0); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigc64, 0) == 1); + CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyb, &rsig, msg32) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder, sizeof(sigcder)) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyc) == 0); } } -void run_recovery_tests(void) { +static void run_recovery_tests(void) { int i; - for (i = 0; i < count; i++) { + for (i = 0; i < COUNT; i++) { test_ecdsa_recovery_api(); } - for (i = 0; i < 64*count; i++) { + for (i = 0; i < 64*COUNT; i++) { test_ecdsa_recovery_end_to_end(); } test_ecdsa_recovery_edge_cases(); diff --git a/src/secp256k1/src/modules/schnorr/Makefile.am.include b/src/secp256k1/src/modules/schnorr/Makefile.am.include deleted file mode 100644 index c2990d3a..00000000 --- a/src/secp256k1/src/modules/schnorr/Makefile.am.include +++ /dev/null @@ -1,5 +0,0 @@ -include_HEADERS += include/secp256k1_schnorr.h -noinst_HEADERS += src/modules/schnorr/main_impl.h -noinst_HEADERS += src/modules/schnorr/schnorr.h -noinst_HEADERS += src/modules/schnorr/schnorr_impl.h -noinst_HEADERS += src/modules/schnorr/tests_impl.h diff --git a/src/secp256k1/src/modules/schnorr/main_impl.h b/src/secp256k1/src/modules/schnorr/main_impl.h index 0c8267df..fdb5b540 100644 --- a/src/secp256k1/src/modules/schnorr/main_impl.h +++ b/src/secp256k1/src/modules/schnorr/main_impl.h @@ -7,8 +7,8 @@ #ifndef SECP256K1_MODULE_SCHNORR_MAIN #define SECP256K1_MODULE_SCHNORR_MAIN -#include "include/secp256k1_schnorr.h" -#include "modules/schnorr/schnorr_impl.h" +#include "../../../include/secp256k1_schnorr.h" +#include "schnorr_impl.h" int secp256k1_schnorr_verify( const secp256k1_context* ctx, @@ -18,13 +18,14 @@ int secp256k1_schnorr_verify( ) { secp256k1_ge q; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(msg32 != NULL); ARG_CHECK(sig64 != NULL); ARG_CHECK(pubkey != NULL); + /* Verification no longer needs an ecmult context: secp256k1_ecmult is + * static in this base. */ secp256k1_pubkey_load(ctx, &q, pubkey); - return secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64, &q, msg32); + return secp256k1_schnorr_sig_verify(sig64, &q, msg32); } int secp256k1_schnorr_sign( diff --git a/src/secp256k1/src/modules/schnorr/schnorr.h b/src/secp256k1/src/modules/schnorr/schnorr.h index 5c70dc1e..88b9fa07 100644 --- a/src/secp256k1/src/modules/schnorr/schnorr.h +++ b/src/secp256k1/src/modules/schnorr/schnorr.h @@ -7,58 +7,7 @@ #ifndef _SECP256K1_MODULE_SCHNORR_H_ #define _SECP256K1_MODULE_SCHNORR_H_ -#include "scalar.h" -#include "group.h" - -static int secp256k1_schnorr_sig_verify( - const secp256k1_ecmult_context* ctx, - const unsigned char *sig64, - secp256k1_ge *pubkey, - const unsigned char *msg32 -); - -static int secp256k1_schnorr_compute_e( - secp256k1_scalar* res, - const unsigned char *r, - secp256k1_ge *pubkey, - const unsigned char *msg32 -); - -static int secp256k1_schnorr_sig_sign( - const secp256k1_ecmult_gen_context* ctx, - unsigned char *sig64, - const unsigned char *msg32, - const secp256k1_scalar *privkey, - secp256k1_ge *pubkey, - secp256k1_nonce_function noncefp, - const void *ndata -); - -static int secp256k1_schnorr_compute_k_R( - const secp256k1_ecmult_gen_context* ctx, - secp256k1_scalar *k, - secp256k1_ge *R, - const unsigned char *msg32, - const secp256k1_scalar *privkey, - secp256k1_nonce_function noncefp, - const void *ndata -); - -static int secp256k1_schnorr_compute_sig( - unsigned char *sig64, - const unsigned char *msg32, - secp256k1_scalar *k, - secp256k1_ge *R, - const secp256k1_scalar *privkey, - secp256k1_ge *pubkey -); - -static int secp256k1_schnorr_sig_generate_k( - secp256k1_scalar *k, - const unsigned char *msg32, - const secp256k1_scalar *privkey, - secp256k1_nonce_function noncefp, - const void *ndata -); +/* The internal BCH Schnorr helpers are defined in schnorr_impl.h in dependency + * order, so no forward declarations are needed here. */ #endif diff --git a/src/secp256k1/src/modules/schnorr/schnorr_impl.h b/src/secp256k1/src/modules/schnorr/schnorr_impl.h index aa745418..c4f6cef6 100644 --- a/src/secp256k1/src/modules/schnorr/schnorr_impl.h +++ b/src/secp256k1/src/modules/schnorr/schnorr_impl.h @@ -4,102 +4,44 @@ * file COPYING or http://www.opensource.org/licenses/mit-license.php. * ***********************************************************************/ +/* + * BCH's custom EC-Schnorr-SHA256 scheme (not BIP340). Ported from the older + * libsecp256k1 fork to this modern base: + * - secp256k1_ecmult no longer takes an ecmult_context (it is static now). + * - secp256k1_fe_is_quad_var -> secp256k1_fe_is_square_var (same predicate). + * - secp256k1_gej_has_quad_y_var was removed upstream; it is inlined here as + * is_square(R.y * R.z), which equals is_square(R.y / R.z^3) (the affine y). + * - secp256k1_fe_set_b32 -> secp256k1_fe_set_b32_limit (rejects r >= p). + * The scheme itself is unchanged. + */ + #ifndef _SECP256K1_SCHNORR_IMPL_H_ #define _SECP256K1_SCHNORR_IMPL_H_ #include #include "schnorr.h" -#include "field.h" -#include "group.h" -#include "hash.h" -#include "ecmult.h" -#include "ecmult_gen.h" +#include "../../field.h" +#include "../../group.h" +#include "../../hash.h" +#include "../../ecmult.h" +#include "../../ecmult_gen.h" +#include "../../eckey.h" /** * Custom Schnorr-based signature scheme. * * Signing: - * Inputs: - * 32-byte message m, - * 32-byte scalar key x (!=0) - * public key point P, - * 32-byte scalar nonce k (!=0) - * * Compute point R = k * G. Negate nonce if R.y is not a quadratic residue. * Compute scalar e = Hash(R.x || compressed(P) || m) mod n. - * Compute scalar s = k + e * x. - * The signature is (R.x, s). + * Compute scalar s = k + e * x. The signature is (R.x, s). * * Verification: - * Inputs: - * 32-byte message m, - * public key point P, - * signature: (32-byte r, scalar s) - * * Signature is invalid if s >= n or r >= p. * Compute scalar e = Hash(r || compressed(P) || m) mod n. - * Option 1 (faster for single verification): - * Compute point R = s * G - e * P. - * Reject if R is infinity or R.y is not a quadratic residue. - * Signature is valid if the serialization of R.x equals r. - * Option 2 (allows batch validation): - * Decompress x coordinate r into point R, with R.y a quadratic residue. - * Reject if R is not on the curve. - * Signature is valid if R + e * P - s * G == 0. + * Compute point R = s * G - e * P. Reject if R is infinity or R.y is not a + * quadratic residue. Signature is valid if the serialization of R.x == r. */ -static int secp256k1_schnorr_sig_verify( - const secp256k1_ecmult_context* ctx, - const unsigned char *sig64, - secp256k1_ge *pubkey, - const unsigned char *msg32 -) { - secp256k1_gej Pj, Rj; - secp256k1_fe Rx; - secp256k1_scalar e, s; - int overflow; - - if (secp256k1_ge_is_infinity(pubkey)) { - return 0; - } - - /* Extract s */ - overflow = 0; - secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); - if (overflow) { - return 0; - } - - /* Extract R.x */ - if (!secp256k1_fe_set_b32(&Rx, sig64)) { - return 0; - } - - /* Compute e */ - secp256k1_schnorr_compute_e(&e, sig64, pubkey, msg32); - - /* Verify the signature */ - secp256k1_scalar_negate(&e, &e); - secp256k1_gej_set_ge(&Pj, pubkey); - secp256k1_ecmult(ctx, &Rj, &Pj, &e, &s); - if (secp256k1_gej_is_infinity(&Rj)) { - return 0; - } - - /* Check that R.x is what we expect */ - if (!secp256k1_gej_eq_x_var(&Rx, &Rj)) { - return 0; - } - - /* Check that jacobi(R.y) is 1 */ - if (!secp256k1_gej_has_quad_y_var(&Rj)) { - return 0; - } - - /* All good, we have a valid signature. */ - return 1; -} - static int secp256k1_schnorr_compute_e( secp256k1_scalar* e, const unsigned char *r, @@ -129,49 +71,66 @@ static int secp256k1_schnorr_compute_e( return !overflow & !secp256k1_scalar_is_zero(e); } -static int secp256k1_schnorr_sig_sign( - const secp256k1_ecmult_gen_context* ctx, - unsigned char *sig64, - const unsigned char *msg32, - const secp256k1_scalar *privkey, +/* is_square(a.y * a.z) == is_square(a.y / a.z^3) == "R.y is a quadratic + * residue" for the affine y of a non-infinite Jacobian point. */ +static int secp256k1_schnorr_gej_has_quad_y_var(const secp256k1_gej *a) { + secp256k1_fe yz; + if (a->infinity) { + return 0; + } + secp256k1_fe_mul(&yz, &a->y, &a->z); + secp256k1_fe_normalize_var(&yz); + return secp256k1_fe_is_square_var(&yz); +} + +static int secp256k1_schnorr_sig_verify( + const unsigned char *sig64, secp256k1_ge *pubkey, - secp256k1_nonce_function noncefp, - const void *ndata + const unsigned char *msg32 ) { - secp256k1_ge R; - secp256k1_scalar k; - int ret; + secp256k1_gej Pj, Rj; + secp256k1_fe Rx; + secp256k1_scalar e, s; + int overflow; - if (secp256k1_scalar_is_zero(privkey)) { + if (secp256k1_ge_is_infinity(pubkey)) { return 0; } - if (!secp256k1_schnorr_compute_k_R(ctx, &k, &R, msg32, privkey, noncefp, ndata)) { + /* Extract s */ + overflow = 0; + secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); + if (overflow) { return 0; } - ret = secp256k1_schnorr_compute_sig(sig64, msg32, &k, &R, privkey, pubkey); - secp256k1_scalar_clear(&k); - return ret; -} + /* Extract R.x (rejects r >= p) */ + if (!secp256k1_fe_set_b32_limit(&Rx, sig64)) { + return 0; + } -static int secp256k1_schnorr_compute_k_R( - const secp256k1_ecmult_gen_context* ctx, - secp256k1_scalar *k, - secp256k1_ge *R, - const unsigned char *msg32, - const secp256k1_scalar *privkey, - secp256k1_nonce_function noncefp, - const void *ndata -) { - secp256k1_gej Rj; + /* Compute e */ + secp256k1_schnorr_compute_e(&e, sig64, pubkey, msg32); - if (!secp256k1_schnorr_sig_generate_k(k, msg32, privkey, noncefp, ndata)) { + /* Compute R = s*G - e*P */ + secp256k1_scalar_negate(&e, &e); + secp256k1_gej_set_ge(&Pj, pubkey); + secp256k1_ecmult(&Rj, &Pj, &e, &s); + if (secp256k1_gej_is_infinity(&Rj)) { return 0; } - secp256k1_ecmult_gen(ctx, &Rj, k); - secp256k1_ge_set_gej(R, &Rj); + /* Check that R.x is what we expect */ + if (!secp256k1_gej_eq_x_var(&Rx, &Rj)) { + return 0; + } + + /* Check that jacobi(R.y) is 1 */ + if (!secp256k1_schnorr_gej_has_quad_y_var(&Rj)) { + return 0; + } + + /* All good, we have a valid signature. */ return 1; } @@ -184,6 +143,7 @@ static int secp256k1_schnorr_compute_sig( secp256k1_ge *pubkey ) { secp256k1_scalar e, s; + secp256k1_fe ry; if (secp256k1_scalar_is_zero(privkey) || secp256k1_scalar_is_zero(k)) { return 0; @@ -193,11 +153,10 @@ static int secp256k1_schnorr_compute_sig( return 0; } - if (!secp256k1_fe_is_quad_var(&R->y)) { - /** - * R's y coordinate is not a quadratic residue, which is not allowed. - * Negate the nonce to ensure it is. - */ + ry = R->y; + secp256k1_fe_normalize_var(&ry); + if (!secp256k1_fe_is_square_var(&ry)) { + /* R's y coordinate is not a quadratic residue; negate the nonce. */ secp256k1_scalar_negate(k, k); } @@ -249,4 +208,50 @@ static int secp256k1_schnorr_sig_generate_k( return ret; } +static int secp256k1_schnorr_compute_k_R( + const secp256k1_ecmult_gen_context* ctx, + secp256k1_scalar *k, + secp256k1_ge *R, + const unsigned char *msg32, + const secp256k1_scalar *privkey, + secp256k1_nonce_function noncefp, + const void *ndata +) { + secp256k1_gej Rj; + + if (!secp256k1_schnorr_sig_generate_k(k, msg32, privkey, noncefp, ndata)) { + return 0; + } + + secp256k1_ecmult_gen(ctx, &Rj, k); + secp256k1_ge_set_gej(R, &Rj); + return 1; +} + +static int secp256k1_schnorr_sig_sign( + const secp256k1_ecmult_gen_context* ctx, + unsigned char *sig64, + const unsigned char *msg32, + const secp256k1_scalar *privkey, + secp256k1_ge *pubkey, + secp256k1_nonce_function noncefp, + const void *ndata +) { + secp256k1_ge R; + secp256k1_scalar k; + int ret; + + if (secp256k1_scalar_is_zero(privkey)) { + return 0; + } + + if (!secp256k1_schnorr_compute_k_R(ctx, &k, &R, msg32, privkey, noncefp, ndata)) { + return 0; + } + + ret = secp256k1_schnorr_compute_sig(sig64, msg32, &k, &R, privkey, pubkey); + secp256k1_scalar_clear(&k); + return ret; +} + #endif diff --git a/src/secp256k1/src/modules/schnorr/tests_impl.h b/src/secp256k1/src/modules/schnorr/tests_impl.h deleted file mode 100644 index 389eeb36..00000000 --- a/src/secp256k1/src/modules/schnorr/tests_impl.h +++ /dev/null @@ -1,522 +0,0 @@ -/********************************************************************** - * Copyright (c) 2017 Amaury SÉCHET * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_MODULE_SCHNORR_TESTS -#define SECP256K1_MODULE_SCHNORR_TESTS - -#include "include/secp256k1_schnorr.h" - -void test_schnorr_end_to_end(void) { - unsigned char privkey[32]; - unsigned char message[32]; - unsigned char schnorr_signature[64]; - secp256k1_pubkey pubkey; - - /* Generate a random key and message. */ - { - secp256k1_scalar key; - random_scalar_order_test(&key); - secp256k1_scalar_get_b32(privkey, &key); - secp256k1_rand256_test(message); - } - - /* Construct and verify corresponding public key. */ - CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); - - /* Schnorr sign. */ - CHECK(secp256k1_schnorr_sign(ctx, schnorr_signature, message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 1); - /* Destroy signature and verify again. */ - schnorr_signature[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255); - CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 0); -} - -#define SIG_COUNT 32 - -void test_schnorr_sign_verify(void) { - unsigned char msg32[32]; - unsigned char sig64[SIG_COUNT][64]; - unsigned char ndata[SIG_COUNT][32]; - secp256k1_gej pubkeyj[SIG_COUNT]; - secp256k1_ge pubkey[SIG_COUNT]; - secp256k1_scalar key[SIG_COUNT]; - int i, j; - - secp256k1_rand256_test(msg32); - - for (i = 0; i < SIG_COUNT; i++) { - random_scalar_order_test(&key[i]); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubkeyj[i], &key[i]); - secp256k1_ge_set_gej_var(&pubkey[i], &pubkeyj[i]); - secp256k1_fe_normalize(&pubkey[i].x); - secp256k1_fe_normalize(&pubkey[i].y); - - do { - secp256k1_rand256_test(ndata[i]); - if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64[i], msg32, &key[i], &pubkey[i], NULL, &ndata[i])) { - break; - } - } while(1); - - CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[i], &pubkey[i], msg32)); - - /* Apply several random modifications to the sig and check that it - * doesn't verify anymore. */ - for (j = 0; j < count; j++) { - int pos = secp256k1_rand_bits(6); - int mod = 1 + secp256k1_rand_int(255); - sig64[i][pos] ^= mod; - CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[i], &pubkey[i], msg32) == 0); - sig64[i][pos] ^= mod; - } - } -} - -#undef SIG_COUNT - -void run_schnorr_compact_test(void) { - { - /* Test vector 1 */ - static const unsigned char pkbuf[33] = { - 0x02, - 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, - 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, - 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, - 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, - }; - - static const unsigned char msg[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - }; - - static const unsigned char sig[64] = { - 0x78, 0x7A, 0x84, 0x8E, 0x71, 0x04, 0x3D, 0x28, - 0x0C, 0x50, 0x47, 0x0E, 0x8E, 0x15, 0x32, 0xB2, - 0xDD, 0x5D, 0x20, 0xEE, 0x91, 0x2A, 0x45, 0xDB, - 0xDD, 0x2B, 0xD1, 0xDF, 0xBF, 0x18, 0x7E, 0xF6, - 0x70, 0x31, 0xA9, 0x88, 0x31, 0x85, 0x9D, 0xC3, - 0x4D, 0xFF, 0xEE, 0xDD, 0xA8, 0x68, 0x31, 0x84, - 0x2C, 0xCD, 0x00, 0x79, 0xE1, 0xF9, 0x2A, 0xF1, - 0x77, 0xF7, 0xF2, 0x2C, 0xC1, 0xDC, 0xED, 0x05, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); - } - - { - /* Test vector 2 */ - static const unsigned char pkbuf[33] = { - 0x02, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, - 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, - 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, - 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, - 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, - 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, - 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, - 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); - } - - { - /* Test vector 3 */ - static const unsigned char pkbuf[33] = { - 0x03, - 0xFA, 0xC2, 0x11, 0x4C, 0x2F, 0xBB, 0x09, 0x15, - 0x27, 0xEB, 0x7C, 0x64, 0xEC, 0xB1, 0x1F, 0x80, - 0x21, 0xCB, 0x45, 0xE8, 0xE7, 0x80, 0x9D, 0x3C, - 0x09, 0x38, 0xE4, 0xB8, 0xC0, 0xE5, 0xF8, 0x4B, - }; - - static const unsigned char msg[32] = { - 0x5E, 0x2D, 0x58, 0xD8, 0xB3, 0xBC, 0xDF, 0x1A, - 0xBA, 0xDE, 0xC7, 0x82, 0x90, 0x54, 0xF9, 0x0D, - 0xDA, 0x98, 0x05, 0xAA, 0xB5, 0x6C, 0x77, 0x33, - 0x30, 0x24, 0xB9, 0xD0, 0xA5, 0x08, 0xB7, 0x5C, - }; - - static const unsigned char sig[64] = { - 0x00, 0xDA, 0x9B, 0x08, 0x17, 0x2A, 0x9B, 0x6F, - 0x04, 0x66, 0xA2, 0xDE, 0xFD, 0x81, 0x7F, 0x2D, - 0x7A, 0xB4, 0x37, 0xE0, 0xD2, 0x53, 0xCB, 0x53, - 0x95, 0xA9, 0x63, 0x86, 0x6B, 0x35, 0x74, 0xBE, - 0x00, 0x88, 0x03, 0x71, 0xD0, 0x17, 0x66, 0x93, - 0x5B, 0x92, 0xD2, 0xAB, 0x4C, 0xD5, 0xC8, 0xA2, - 0xA5, 0x83, 0x7E, 0xC5, 0x7F, 0xED, 0x76, 0x60, - 0x77, 0x3A, 0x05, 0xF0, 0xDE, 0x14, 0x23, 0x80, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); - } - - { - /* Test vector 4 */ - static const unsigned char pkbuf[33] = { - 0x03, - 0xDE, 0xFD, 0xEA, 0x4C, 0xDB, 0x67, 0x77, 0x50, - 0xA4, 0x20, 0xFE, 0xE8, 0x07, 0xEA, 0xCF, 0x21, - 0xEB, 0x98, 0x98, 0xAE, 0x79, 0xB9, 0x76, 0x87, - 0x66, 0xE4, 0xFA, 0xA0, 0x4A, 0x2D, 0x4A, 0x34, - }; - - static const unsigned char msg[32] = { - 0x4D, 0xF3, 0xC3, 0xF6, 0x8F, 0xCC, 0x83, 0xB2, - 0x7E, 0x9D, 0x42, 0xC9, 0x04, 0x31, 0xA7, 0x24, - 0x99, 0xF1, 0x78, 0x75, 0xC8, 0x1A, 0x59, 0x9B, - 0x56, 0x6C, 0x98, 0x89, 0xB9, 0x69, 0x67, 0x03, - }; - - static const unsigned char sig[64] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x3B, 0x78, 0xCE, 0x56, 0x3F, - 0x89, 0xA0, 0xED, 0x94, 0x14, 0xF5, 0xAA, 0x28, - 0xAD, 0x0D, 0x96, 0xD6, 0x79, 0x5F, 0x9C, 0x63, - 0x02, 0xA8, 0xDC, 0x32, 0xE6, 0x4E, 0x86, 0xA3, - 0x33, 0xF2, 0x0E, 0xF5, 0x6E, 0xAC, 0x9B, 0xA3, - 0x0B, 0x72, 0x46, 0xD6, 0xD2, 0x5E, 0x22, 0xAD, - 0xB8, 0xC6, 0xBE, 0x1A, 0xEB, 0x08, 0xD4, 0x9D, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); - } - - { - /* Test vector 4b */ - static const unsigned char pkbuf[33] = { - 0x03, - 0x1B, 0x84, 0xC5, 0x56, 0x7B, 0x12, 0x64, 0x40, - 0x99, 0x5D, 0x3E, 0xD5, 0xAA, 0xBA, 0x05, 0x65, - 0xD7, 0x1E, 0x18, 0x34, 0x60, 0x48, 0x19, 0xFF, - 0x9C, 0x17, 0xF5, 0xE9, 0xD5, 0xDD, 0x07, 0x8F, - }; - - static const unsigned char msg[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - }; - - static const unsigned char sig[64] = { - 0x52, 0x81, 0x85, 0x79, 0xAC, 0xA5, 0x97, 0x67, - 0xE3, 0x29, 0x1D, 0x91, 0xB7, 0x6B, 0x63, 0x7B, - 0xEF, 0x06, 0x20, 0x83, 0x28, 0x49, 0x92, 0xF2, - 0xD9, 0x5F, 0x56, 0x4C, 0xA6, 0xCB, 0x4E, 0x35, - 0x30, 0xB1, 0xDA, 0x84, 0x9C, 0x8E, 0x83, 0x04, - 0xAD, 0xC0, 0xCF, 0xE8, 0x70, 0x66, 0x03, 0x34, - 0xB3, 0xCF, 0xC1, 0x8E, 0x82, 0x5E, 0xF1, 0xDB, - 0x34, 0xCF, 0xAE, 0x3D, 0xFC, 0x5D, 0x81, 0x87, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); - } - - { - /* Test vector 6: R.y is not a quadratic residue */ - static const unsigned char pkbuf[33] = { - 0x02, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, - 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, - 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, - 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, - 0xFA, 0x16, 0xAE, 0xE0, 0x66, 0x09, 0x28, 0x0A, - 0x19, 0xB6, 0x7A, 0x24, 0xE1, 0x97, 0x7E, 0x46, - 0x97, 0x71, 0x2B, 0x5F, 0xD2, 0x94, 0x39, 0x14, - 0xEC, 0xD5, 0xF7, 0x30, 0x90, 0x1B, 0x4A, 0xB7, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 7: Negated message hash, R.x mismatch */ - static const unsigned char pkbuf[33] = { - 0x03, - 0xFA, 0xC2, 0x11, 0x4C, 0x2F, 0xBB, 0x09, 0x15, - 0x27, 0xEB, 0x7C, 0x64, 0xEC, 0xB1, 0x1F, 0x80, - 0x21, 0xCB, 0x45, 0xE8, 0xE7, 0x80, 0x9D, 0x3C, - 0x09, 0x38, 0xE4, 0xB8, 0xC0, 0xE5, 0xF8, 0x4B, - }; - - static const unsigned char msg[32] = { - 0x5E, 0x2D, 0x58, 0xD8, 0xB3, 0xBC, 0xDF, 0x1A, - 0xBA, 0xDE, 0xC7, 0x82, 0x90, 0x54, 0xF9, 0x0D, - 0xDA, 0x98, 0x05, 0xAA, 0xB5, 0x6C, 0x77, 0x33, - 0x30, 0x24, 0xB9, 0xD0, 0xA5, 0x08, 0xB7, 0x5C, - }; - - static const unsigned char sig[64] = { - 0x00, 0xDA, 0x9B, 0x08, 0x17, 0x2A, 0x9B, 0x6F, - 0x04, 0x66, 0xA2, 0xDE, 0xFD, 0x81, 0x7F, 0x2D, - 0x7A, 0xB4, 0x37, 0xE0, 0xD2, 0x53, 0xCB, 0x53, - 0x95, 0xA9, 0x63, 0x86, 0x6B, 0x35, 0x74, 0xBE, - 0xD0, 0x92, 0xF9, 0xD8, 0x60, 0xF1, 0x77, 0x6A, - 0x1F, 0x74, 0x12, 0xAD, 0x8A, 0x1E, 0xB5, 0x0D, - 0xAC, 0xCC, 0x22, 0x2B, 0xC8, 0xC0, 0xE2, 0x6B, - 0x20, 0x56, 0xDF, 0x2F, 0x27, 0x3E, 0xFD, 0xEC, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 8: Negated s, R.x mismatch */ - static const unsigned char pkbuf[33] = { - 0x02, - 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, - 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, - 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, - 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, - }; - - static const unsigned char msg[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - }; - - static const unsigned char sig[64] = { - 0x78, 0x7A, 0x84, 0x8E, 0x71, 0x04, 0x3D, 0x28, - 0x0C, 0x50, 0x47, 0x0E, 0x8E, 0x15, 0x32, 0xB2, - 0xDD, 0x5D, 0x20, 0xEE, 0x91, 0x2A, 0x45, 0xDB, - 0xDD, 0x2B, 0xD1, 0xDF, 0xBF, 0x18, 0x7E, 0xF6, - 0x8F, 0xCE, 0x56, 0x77, 0xCE, 0x7A, 0x62, 0x3C, - 0xB2, 0x00, 0x11, 0x22, 0x57, 0x97, 0xCE, 0x7A, - 0x8D, 0xE1, 0xDC, 0x6C, 0xCD, 0x4F, 0x75, 0x4A, - 0x47, 0xDA, 0x6C, 0x60, 0x0E, 0x59, 0x54, 0x3C, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 9: Negated P, R.x mismatch */ - static const unsigned char pkbuf[33] = { - 0x03, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, - 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, - 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, - 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, - 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, - 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, - 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, - 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 10: s * G = e * P, R = 0 */ - static const unsigned char pkbuf[33] = { - 0x02, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, - 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, - 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, - 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, - 0x8C, 0x34, 0x28, 0x86, 0x9A, 0x66, 0x3E, 0xD1, - 0xE9, 0x54, 0x70, 0x5B, 0x02, 0x0C, 0xBB, 0x3E, - 0x7B, 0xB6, 0xAC, 0x31, 0x96, 0x5B, 0x9E, 0xA4, - 0xC7, 0x3E, 0x22, 0x7B, 0x17, 0xC5, 0xAF, 0x5A, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 11: R.x not on the curve, R.x mismatch */ - static const unsigned char pkbuf[33] = { - 0x02, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0x4A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, - 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, - 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, - 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, - 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, - 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, - 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, - 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 12: r = p */ - static const unsigned char pkbuf[33] = { - 0x02, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0x2F, - 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, - 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, - 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, - 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } - - { - /* Test vector 13: s = n */ - static const unsigned char pkbuf[33] = { - 0x02, - 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, - 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, - 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, - 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, - }; - - static const unsigned char msg[32] = { - 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, - 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, - 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, - 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, - }; - - static const unsigned char sig[64] = { - 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, - 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, - 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, - 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, - 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, - 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41, - }; - - secp256k1_pubkey pubkey; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); - CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); - } -} - -void run_schnorr_tests(void) { - int i; - for (i = 0; i < 32 * count; i++) { - test_schnorr_end_to_end(); - } - - test_schnorr_sign_verify(); - run_schnorr_compact_test(); -} - -#endif diff --git a/src/secp256k1/src/modules/schnorrsig/Makefile.am.include b/src/secp256k1/src/modules/schnorrsig/Makefile.am.include new file mode 100644 index 00000000..654fa2e5 --- /dev/null +++ b/src/secp256k1/src/modules/schnorrsig/Makefile.am.include @@ -0,0 +1,5 @@ +include_HEADERS += include/secp256k1_schnorrsig.h +noinst_HEADERS += src/modules/schnorrsig/main_impl.h +noinst_HEADERS += src/modules/schnorrsig/tests_impl.h +noinst_HEADERS += src/modules/schnorrsig/tests_exhaustive_impl.h +noinst_HEADERS += src/modules/schnorrsig/bench_impl.h diff --git a/src/secp256k1/src/modules/schnorrsig/bench_impl.h b/src/secp256k1/src/modules/schnorrsig/bench_impl.h new file mode 100644 index 00000000..93a878ed --- /dev/null +++ b/src/secp256k1/src/modules/schnorrsig/bench_impl.h @@ -0,0 +1,104 @@ +/*********************************************************************** + * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_SCHNORRSIG_BENCH_H +#define SECP256K1_MODULE_SCHNORRSIG_BENCH_H + +#include "../../../include/secp256k1_schnorrsig.h" + +#define MSGLEN 32 + +typedef struct { + secp256k1_context *ctx; + int n; + + const secp256k1_keypair **keypairs; + const unsigned char **pk; + const unsigned char **sigs; + const unsigned char **msgs; +} bench_schnorrsig_data; + +static void bench_schnorrsig_sign(void* arg, int iters) { + bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg; + int i; + unsigned char msg[MSGLEN] = {0}; + unsigned char sig[64]; + + for (i = 0; i < iters; i++) { + msg[0] = i; + msg[1] = i >> 8; + CHECK(secp256k1_schnorrsig_sign_custom(data->ctx, sig, msg, MSGLEN, data->keypairs[i], NULL)); + } +} + +static void bench_schnorrsig_verify(void* arg, int iters) { + bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg; + int i; + + for (i = 0; i < iters; i++) { + secp256k1_xonly_pubkey pk; + CHECK(secp256k1_xonly_pubkey_parse(data->ctx, &pk, data->pk[i]) == 1); + CHECK(secp256k1_schnorrsig_verify(data->ctx, data->sigs[i], data->msgs[i], MSGLEN, &pk)); + } +} + +static void run_schnorrsig_bench(int iters, int argc, char** argv) { + int i; + bench_schnorrsig_data data; + int d = argc == 1; + + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + data.keypairs = (const secp256k1_keypair **)malloc(iters * sizeof(secp256k1_keypair *)); + data.pk = (const unsigned char **)malloc(iters * sizeof(unsigned char *)); + data.msgs = (const unsigned char **)malloc(iters * sizeof(unsigned char *)); + data.sigs = (const unsigned char **)malloc(iters * sizeof(unsigned char *)); + + CHECK(MSGLEN >= 4); + for (i = 0; i < iters; i++) { + unsigned char sk[32]; + unsigned char *msg = (unsigned char *)malloc(MSGLEN); + unsigned char *sig = (unsigned char *)malloc(64); + secp256k1_keypair *keypair = (secp256k1_keypair *)malloc(sizeof(*keypair)); + unsigned char *pk_char = (unsigned char *)malloc(32); + secp256k1_xonly_pubkey pk; + msg[0] = sk[0] = i; + msg[1] = sk[1] = i >> 8; + msg[2] = sk[2] = i >> 16; + msg[3] = sk[3] = i >> 24; + memset(&msg[4], 'm', MSGLEN - 4); + memset(&sk[4], 's', 28); + + data.keypairs[i] = keypair; + data.pk[i] = pk_char; + data.msgs[i] = msg; + data.sigs[i] = sig; + + CHECK(secp256k1_keypair_create(data.ctx, keypair, sk)); + CHECK(secp256k1_schnorrsig_sign_custom(data.ctx, sig, msg, MSGLEN, keypair, NULL)); + CHECK(secp256k1_keypair_xonly_pub(data.ctx, &pk, NULL, keypair)); + CHECK(secp256k1_xonly_pubkey_serialize(data.ctx, pk_char, &pk) == 1); + } + + if (d || have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "schnorrsig_sign")) run_benchmark("schnorrsig_sign", bench_schnorrsig_sign, NULL, NULL, (void *) &data, 10, iters); + if (d || have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "schnorrsig_verify")) run_benchmark("schnorrsig_verify", bench_schnorrsig_verify, NULL, NULL, (void *) &data, 10, iters); + + for (i = 0; i < iters; i++) { + free((void *)data.keypairs[i]); + free((void *)data.pk[i]); + free((void *)data.msgs[i]); + free((void *)data.sigs[i]); + } + + /* Casting to (void *) avoids a stupid warning in MSVC. */ + free((void *)data.keypairs); + free((void *)data.pk); + free((void *)data.msgs); + free((void *)data.sigs); + + secp256k1_context_destroy(data.ctx); +} + +#endif diff --git a/src/secp256k1/src/modules/schnorrsig/main_impl.h b/src/secp256k1/src/modules/schnorrsig/main_impl.h new file mode 100644 index 00000000..82bba2f5 --- /dev/null +++ b/src/secp256k1/src/modules/schnorrsig/main_impl.h @@ -0,0 +1,269 @@ +/*********************************************************************** + * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_SCHNORRSIG_MAIN_H +#define SECP256K1_MODULE_SCHNORRSIG_MAIN_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_schnorrsig.h" +#include "../../hash.h" + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("BIP0340/nonce")||SHA256("BIP0340/nonce"). */ +static void secp256k1_nonce_function_bip340_sha256_tagged(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x46615b35ul; + sha->s[1] = 0xf4bfbff7ul; + sha->s[2] = 0x9f8dc671ul; + sha->s[3] = 0x83627ab3ul; + sha->s[4] = 0x60217180ul; + sha->s[5] = 0x57358661ul; + sha->s[6] = 0x21a29e54ul; + sha->s[7] = 0x68b07b4cul; + + sha->bytes = 64; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("BIP0340/aux")||SHA256("BIP0340/aux"). */ +static void secp256k1_nonce_function_bip340_sha256_tagged_aux(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x24dd3219ul; + sha->s[1] = 0x4eba7e70ul; + sha->s[2] = 0xca0fabb9ul; + sha->s[3] = 0x0fa3166dul; + sha->s[4] = 0x3afbe4b1ul; + sha->s[5] = 0x4c44df97ul; + sha->s[6] = 0x4aac2739ul; + sha->s[7] = 0x249e850aul; + + sha->bytes = 64; +} + +/* algo argument for nonce_function_bip340 to derive the nonce exactly as stated in BIP-340 + * by using the correct tagged hash function. */ +static const unsigned char bip340_algo[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'}; + +static const unsigned char schnorrsig_extraparams_magic[4] = SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC; + +static int nonce_function_bip340(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) { + secp256k1_sha256 sha; + unsigned char masked_key[32]; + int i; + + if (algo == NULL) { + return 0; + } + + if (data != NULL) { + secp256k1_nonce_function_bip340_sha256_tagged_aux(&sha); + secp256k1_sha256_write(&sha, data, 32); + secp256k1_sha256_finalize(&sha, masked_key); + for (i = 0; i < 32; i++) { + masked_key[i] ^= key32[i]; + } + } else { + /* Precomputed TaggedHash("BIP0340/aux", 0x0000...00); */ + static const unsigned char ZERO_MASK[32] = { + 84, 241, 105, 207, 201, 226, 229, 114, + 116, 128, 68, 31, 144, 186, 37, 196, + 136, 244, 97, 199, 11, 94, 165, 220, + 170, 247, 175, 105, 39, 10, 165, 20 + }; + for (i = 0; i < 32; i++) { + masked_key[i] = key32[i] ^ ZERO_MASK[i]; + } + } + + /* Tag the hash with algo which is important to avoid nonce reuse across + * algorithms. If this nonce function is used in BIP-340 signing as defined + * in the spec, an optimized tagging implementation is used. */ + if (algolen == sizeof(bip340_algo) + && secp256k1_memcmp_var(algo, bip340_algo, algolen) == 0) { + secp256k1_nonce_function_bip340_sha256_tagged(&sha); + } else { + secp256k1_sha256_initialize_tagged(&sha, algo, algolen); + } + + /* Hash masked-key||pk||msg using the tagged hash as per the spec */ + secp256k1_sha256_write(&sha, masked_key, 32); + secp256k1_sha256_write(&sha, xonly_pk32, 32); + secp256k1_sha256_write(&sha, msg, msglen); + secp256k1_sha256_finalize(&sha, nonce32); + secp256k1_sha256_clear(&sha); + return 1; +} + +const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340 = nonce_function_bip340; + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("BIP0340/challenge")||SHA256("BIP0340/challenge"). */ +static void secp256k1_schnorrsig_sha256_tagged(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x9cecba11ul; + sha->s[1] = 0x23925381ul; + sha->s[2] = 0x11679112ul; + sha->s[3] = 0xd1627e0ful; + sha->s[4] = 0x97c87550ul; + sha->s[5] = 0x003cc765ul; + sha->s[6] = 0x90f61164ul; + sha->s[7] = 0x33e9b66aul; + sha->bytes = 64; +} + +static void secp256k1_schnorrsig_challenge(secp256k1_scalar* e, const unsigned char *r32, const unsigned char *msg, size_t msglen, const unsigned char *pubkey32) +{ + unsigned char buf[32]; + secp256k1_sha256 sha; + + /* tagged hash(r.x, pk.x, msg) */ + secp256k1_schnorrsig_sha256_tagged(&sha); + secp256k1_sha256_write(&sha, r32, 32); + secp256k1_sha256_write(&sha, pubkey32, 32); + secp256k1_sha256_write(&sha, msg, msglen); + secp256k1_sha256_finalize(&sha, buf); + /* Set scalar e to the challenge hash modulo the curve order as per + * BIP340. */ + secp256k1_scalar_set_b32(e, buf, NULL); +} + +static int secp256k1_schnorrsig_sign_internal(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_keypair *keypair, secp256k1_nonce_function_hardened noncefp, void *ndata) { + secp256k1_scalar sk; + secp256k1_scalar e; + secp256k1_scalar k; + secp256k1_gej rj; + secp256k1_ge pk; + secp256k1_ge r; + unsigned char buf[32] = { 0 }; + unsigned char pk_buf[32]; + unsigned char seckey[32]; + int ret = 1; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(msg != NULL || msglen == 0); + ARG_CHECK(keypair != NULL); + + if (noncefp == NULL) { + noncefp = secp256k1_nonce_function_bip340; + } + + ret &= secp256k1_keypair_load(ctx, &sk, &pk, keypair); + /* Because we are signing for a x-only pubkey, the secret key is negated + * before signing if the point corresponding to the secret key does not + * have an even Y. */ + if (secp256k1_fe_is_odd(&pk.y)) { + secp256k1_scalar_negate(&sk, &sk); + } + + secp256k1_scalar_get_b32(seckey, &sk); + secp256k1_fe_get_b32(pk_buf, &pk.x); + ret &= !!noncefp(buf, msg, msglen, seckey, pk_buf, bip340_algo, sizeof(bip340_algo), ndata); + secp256k1_scalar_set_b32(&k, buf, NULL); + ret &= !secp256k1_scalar_is_zero(&k); + secp256k1_scalar_cmov(&k, &secp256k1_scalar_one, !ret); + + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &rj, &k); + secp256k1_ge_set_gej(&r, &rj); + + /* We declassify r to allow using it as a branch point. This is fine + * because r is not a secret. */ + secp256k1_declassify(ctx, &r, sizeof(r)); + secp256k1_fe_normalize_var(&r.y); + if (secp256k1_fe_is_odd(&r.y)) { + secp256k1_scalar_negate(&k, &k); + } + secp256k1_fe_normalize_var(&r.x); + secp256k1_fe_get_b32(&sig64[0], &r.x); + + secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, pk_buf); + secp256k1_scalar_mul(&e, &e, &sk); + secp256k1_scalar_add(&e, &e, &k); + secp256k1_scalar_get_b32(&sig64[32], &e); + + secp256k1_memczero(sig64, 64, !ret); + secp256k1_scalar_clear(&k); + secp256k1_scalar_clear(&sk); + secp256k1_memclear(seckey, sizeof(seckey)); + secp256k1_gej_clear(&rj); + + return ret; +} + +int secp256k1_schnorrsig_sign32(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, const unsigned char *aux_rand32) { + /* We cast away const from the passed aux_rand32 argument since we know the default nonce function does not modify it. */ + return secp256k1_schnorrsig_sign_internal(ctx, sig64, msg32, 32, keypair, secp256k1_nonce_function_bip340, (unsigned char*)aux_rand32); +} + +int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, const unsigned char *aux_rand32) { + return secp256k1_schnorrsig_sign32(ctx, sig64, msg32, keypair, aux_rand32); +} + +int secp256k1_schnorrsig_sign_custom(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_keypair *keypair, secp256k1_schnorrsig_extraparams *extraparams) { + secp256k1_nonce_function_hardened noncefp = NULL; + void *ndata = NULL; + VERIFY_CHECK(ctx != NULL); + + if (extraparams != NULL) { + ARG_CHECK(secp256k1_memcmp_var(extraparams->magic, + schnorrsig_extraparams_magic, + sizeof(extraparams->magic)) == 0); + noncefp = extraparams->noncefp; + ndata = extraparams->ndata; + } + return secp256k1_schnorrsig_sign_internal(ctx, sig64, msg, msglen, keypair, noncefp, ndata); +} + +int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_xonly_pubkey *pubkey) { + secp256k1_scalar s; + secp256k1_scalar e; + secp256k1_gej rj; + secp256k1_ge pk; + secp256k1_gej pkj; + secp256k1_fe rx; + secp256k1_ge r; + unsigned char buf[32]; + int overflow; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(msg != NULL || msglen == 0); + ARG_CHECK(pubkey != NULL); + + if (!secp256k1_fe_set_b32_limit(&rx, &sig64[0])) { + return 0; + } + + secp256k1_scalar_set_b32(&s, &sig64[32], &overflow); + if (overflow) { + return 0; + } + + if (!secp256k1_xonly_pubkey_load(ctx, &pk, pubkey)) { + return 0; + } + + /* Compute e. */ + secp256k1_fe_get_b32(buf, &pk.x); + secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, buf); + + /* Compute rj = s*G + (-e)*pkj */ + secp256k1_scalar_negate(&e, &e); + secp256k1_gej_set_ge(&pkj, &pk); + secp256k1_ecmult(&rj, &pkj, &e, &s); + + secp256k1_ge_set_gej_var(&r, &rj); + if (secp256k1_ge_is_infinity(&r)) { + return 0; + } + + secp256k1_fe_normalize_var(&r.y); + return !secp256k1_fe_is_odd(&r.y) && + secp256k1_fe_equal(&rx, &r.x); +} + +#endif diff --git a/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h b/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h new file mode 100644 index 00000000..601b5497 --- /dev/null +++ b/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h @@ -0,0 +1,214 @@ +/*********************************************************************** + * Copyright (c) 2020 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H +#define SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H + +#include "../../../include/secp256k1_schnorrsig.h" +#include "main_impl.h" + +static const unsigned char invalid_pubkey_bytes[][32] = { + /* 0 */ + { + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 + }, + /* 2 */ + { + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 + }, + /* order */ + { + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + ((EXHAUSTIVE_TEST_ORDER + 0UL) >> 24) & 0xFF, + ((EXHAUSTIVE_TEST_ORDER + 0UL) >> 16) & 0xFF, + ((EXHAUSTIVE_TEST_ORDER + 0UL) >> 8) & 0xFF, + (EXHAUSTIVE_TEST_ORDER + 0UL) & 0xFF + }, + /* order + 1 */ + { + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + ((EXHAUSTIVE_TEST_ORDER + 1UL) >> 24) & 0xFF, + ((EXHAUSTIVE_TEST_ORDER + 1UL) >> 16) & 0xFF, + ((EXHAUSTIVE_TEST_ORDER + 1UL) >> 8) & 0xFF, + (EXHAUSTIVE_TEST_ORDER + 1UL) & 0xFF + }, + /* field size */ + { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F + }, + /* field size + 1 (note that 1 is legal) */ + { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 + }, + /* 2^256 - 1 */ + { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF + } +}; + +#define NUM_INVALID_KEYS (sizeof(invalid_pubkey_bytes) / sizeof(invalid_pubkey_bytes[0])) + +static int secp256k1_hardened_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg, + size_t msglen, + const unsigned char *key32, const unsigned char *xonly_pk32, + const unsigned char *algo, size_t algolen, + void* data) { + secp256k1_scalar s; + int *idata = data; + (void)msg; + (void)msglen; + (void)key32; + (void)xonly_pk32; + (void)algo; + (void)algolen; + secp256k1_scalar_set_int(&s, *idata); + secp256k1_scalar_get_b32(nonce32, &s); + return 1; +} + +static void test_exhaustive_schnorrsig_verify(const secp256k1_context *ctx, const secp256k1_xonly_pubkey* pubkeys, unsigned char (*xonly_pubkey_bytes)[32], const int* parities) { + int d; + uint64_t iter = 0; + /* Iterate over the possible public keys to verify against (through their corresponding DL d). */ + for (d = 1; d <= EXHAUSTIVE_TEST_ORDER / 2; ++d) { + int actual_d; + unsigned k; + unsigned char pk32[32]; + memcpy(pk32, xonly_pubkey_bytes[d - 1], 32); + actual_d = parities[d - 1] ? EXHAUSTIVE_TEST_ORDER - d : d; + /* Iterate over the possible valid first 32 bytes in the signature, through their corresponding DL k. + Values above EXHAUSTIVE_TEST_ORDER/2 refer to the entries in invalid_pubkey_bytes. */ + for (k = 1; k <= EXHAUSTIVE_TEST_ORDER / 2 + NUM_INVALID_KEYS; ++k) { + unsigned char sig64[64]; + int actual_k = -1; + int e_done[EXHAUSTIVE_TEST_ORDER] = {0}; + int e_count_done = 0; + if (skip_section(&iter)) continue; + if (k <= EXHAUSTIVE_TEST_ORDER / 2) { + memcpy(sig64, xonly_pubkey_bytes[k - 1], 32); + actual_k = parities[k - 1] ? EXHAUSTIVE_TEST_ORDER - k : k; + } else { + memcpy(sig64, invalid_pubkey_bytes[k - 1 - EXHAUSTIVE_TEST_ORDER / 2], 32); + } + /* Randomly generate messages until all challenges have been hit. */ + while (e_count_done < EXHAUSTIVE_TEST_ORDER) { + secp256k1_scalar e; + unsigned char msg32[32]; + testrand256(msg32); + secp256k1_schnorrsig_challenge(&e, sig64, msg32, sizeof(msg32), pk32); + /* Only do work if we hit a challenge we haven't tried before. */ + if (!e_done[e]) { + /* Iterate over the possible valid last 32 bytes in the signature. + 0..order=that s value; order+1=random bytes */ + int count_valid = 0; + unsigned int s; + for (s = 0; s <= EXHAUSTIVE_TEST_ORDER + 1; ++s) { + int expect_valid, valid; + if (s <= EXHAUSTIVE_TEST_ORDER) { + memset(sig64 + 32, 0, 32); + secp256k1_write_be32(sig64 + 60, s); + expect_valid = actual_k != -1 && s != EXHAUSTIVE_TEST_ORDER && + (s == (actual_k + actual_d * e) % EXHAUSTIVE_TEST_ORDER); + } else { + testrand256(sig64 + 32); + expect_valid = 0; + } + valid = secp256k1_schnorrsig_verify(ctx, sig64, msg32, sizeof(msg32), &pubkeys[d - 1]); + CHECK(valid == expect_valid); + count_valid += valid; + } + /* Exactly one s value must verify, unless R is illegal. */ + CHECK(count_valid == (actual_k != -1)); + /* Don't retry other messages that result in the same challenge. */ + e_done[e] = 1; + ++e_count_done; + } + } + } + } +} + +static void test_exhaustive_schnorrsig_sign(const secp256k1_context *ctx, unsigned char (*xonly_pubkey_bytes)[32], const secp256k1_keypair* keypairs, const int* parities) { + int d, k; + uint64_t iter = 0; + secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + + /* Loop over keys. */ + for (d = 1; d < EXHAUSTIVE_TEST_ORDER; ++d) { + int actual_d = d; + if (parities[d - 1]) actual_d = EXHAUSTIVE_TEST_ORDER - d; + /* Loop over nonces. */ + for (k = 1; k < EXHAUSTIVE_TEST_ORDER; ++k) { + int e_done[EXHAUSTIVE_TEST_ORDER] = {0}; + int e_count_done = 0; + unsigned char msg32[32]; + unsigned char sig64[64]; + int actual_k = k; + if (skip_section(&iter)) continue; + extraparams.noncefp = secp256k1_hardened_nonce_function_smallint; + extraparams.ndata = &k; + if (parities[k - 1]) actual_k = EXHAUSTIVE_TEST_ORDER - k; + /* Generate random messages until all challenges have been tried. */ + while (e_count_done < EXHAUSTIVE_TEST_ORDER) { + secp256k1_scalar e; + testrand256(msg32); + secp256k1_schnorrsig_challenge(&e, xonly_pubkey_bytes[k - 1], msg32, sizeof(msg32), xonly_pubkey_bytes[d - 1]); + /* Only do work if we hit a challenge we haven't tried before. */ + if (!e_done[e]) { + secp256k1_scalar expected_s = (actual_k + e * actual_d) % EXHAUSTIVE_TEST_ORDER; + unsigned char expected_s_bytes[32]; + secp256k1_scalar_get_b32(expected_s_bytes, &expected_s); + /* Invoke the real function to construct a signature. */ + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig64, msg32, sizeof(msg32), &keypairs[d - 1], &extraparams)); + /* The first 32 bytes must match the xonly pubkey for the specified k. */ + CHECK(secp256k1_memcmp_var(sig64, xonly_pubkey_bytes[k - 1], 32) == 0); + /* The last 32 bytes must match the expected s value. */ + CHECK(secp256k1_memcmp_var(sig64 + 32, expected_s_bytes, 32) == 0); + /* Don't retry other messages that result in the same challenge. */ + e_done[e] = 1; + ++e_count_done; + } + } + } + } +} + +static void test_exhaustive_schnorrsig(const secp256k1_context *ctx) { + secp256k1_keypair keypair[EXHAUSTIVE_TEST_ORDER - 1]; + secp256k1_xonly_pubkey xonly_pubkey[EXHAUSTIVE_TEST_ORDER - 1]; + int parity[EXHAUSTIVE_TEST_ORDER - 1]; + unsigned char xonly_pubkey_bytes[EXHAUSTIVE_TEST_ORDER - 1][32]; + unsigned i; + + /* Verify that all invalid_pubkey_bytes are actually invalid. */ + for (i = 0; i < NUM_INVALID_KEYS; ++i) { + secp256k1_xonly_pubkey pk; + CHECK(!secp256k1_xonly_pubkey_parse(ctx, &pk, invalid_pubkey_bytes[i])); + } + + /* Construct keypairs and xonly-pubkeys for the entire group. */ + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; ++i) { + secp256k1_scalar scalar_i; + unsigned char buf[32]; + secp256k1_scalar_set_int(&scalar_i, i); + secp256k1_scalar_get_b32(buf, &scalar_i); + CHECK(secp256k1_keypair_create(ctx, &keypair[i - 1], buf)); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pubkey[i - 1], &parity[i - 1], &keypair[i - 1])); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, xonly_pubkey_bytes[i - 1], &xonly_pubkey[i - 1])); + } + + test_exhaustive_schnorrsig_sign(ctx, xonly_pubkey_bytes, keypair, parity); + test_exhaustive_schnorrsig_verify(ctx, xonly_pubkey, xonly_pubkey_bytes, parity); +} + +#endif diff --git a/src/secp256k1/src/modules/schnorrsig/tests_impl.h b/src/secp256k1/src/modules/schnorrsig/tests_impl.h new file mode 100644 index 00000000..2d716a01 --- /dev/null +++ b/src/secp256k1/src/modules/schnorrsig/tests_impl.h @@ -0,0 +1,982 @@ +/*********************************************************************** + * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_SCHNORRSIG_TESTS_H +#define SECP256K1_MODULE_SCHNORRSIG_TESTS_H + +#include "../../../include/secp256k1_schnorrsig.h" + +/* Checks that a bit flip in the n_flip-th argument (that has n_bytes many + * bytes) changes the hash function + */ +static void nonce_function_bip340_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes, size_t msglen, size_t algolen) { + unsigned char nonces[2][32]; + CHECK(nonce_function_bip340(nonces[0], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1); + testrand_flip(args[n_flip], n_bytes); + CHECK(nonce_function_bip340(nonces[1], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1); + CHECK(secp256k1_memcmp_var(nonces[0], nonces[1], 32) != 0); +} + +static void run_nonce_function_bip340_tests(void) { + unsigned char tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'}; + unsigned char aux_tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'a', 'u', 'x'}; + unsigned char algo[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'}; + size_t algolen = sizeof(algo); + secp256k1_sha256 sha; + secp256k1_sha256 sha_optimized; + unsigned char nonce[32], nonce_z[32]; + unsigned char msg[32]; + size_t msglen = sizeof(msg); + unsigned char key[32]; + unsigned char pk[32]; + unsigned char aux_rand[32]; + unsigned char *args[5]; + int i; + + /* Check that hash initialized by + * secp256k1_nonce_function_bip340_sha256_tagged has the expected + * state. */ + secp256k1_sha256_initialize_tagged(&sha, tag, sizeof(tag)); + secp256k1_nonce_function_bip340_sha256_tagged(&sha_optimized); + test_sha256_eq(&sha, &sha_optimized); + + /* Check that hash initialized by + * secp256k1_nonce_function_bip340_sha256_tagged_aux has the expected + * state. */ + secp256k1_sha256_initialize_tagged(&sha, aux_tag, sizeof(aux_tag)); + secp256k1_nonce_function_bip340_sha256_tagged_aux(&sha_optimized); + test_sha256_eq(&sha, &sha_optimized); + + testrand256(msg); + testrand256(key); + testrand256(pk); + testrand256(aux_rand); + + /* Check that a bitflip in an argument results in different nonces. */ + args[0] = msg; + args[1] = key; + args[2] = pk; + args[3] = algo; + args[4] = aux_rand; + for (i = 0; i < COUNT; i++) { + nonce_function_bip340_bitflip(args, 0, 32, msglen, algolen); + nonce_function_bip340_bitflip(args, 1, 32, msglen, algolen); + nonce_function_bip340_bitflip(args, 2, 32, msglen, algolen); + /* Flip algo special case "BIP0340/nonce" */ + nonce_function_bip340_bitflip(args, 3, algolen, msglen, algolen); + /* Flip algo again */ + nonce_function_bip340_bitflip(args, 3, algolen, msglen, algolen); + nonce_function_bip340_bitflip(args, 4, 32, msglen, algolen); + } + + /* NULL algo is disallowed */ + CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, NULL, 0, NULL) == 0); + CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1); + /* Other algo is fine */ + testrand_bytes_test(algo, algolen); + CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1); + + for (i = 0; i < COUNT; i++) { + unsigned char nonce2[32]; + uint32_t offset = testrand_int(msglen - 1); + size_t msglen_tmp = (msglen + offset) % msglen; + size_t algolen_tmp; + + /* Different msglen gives different nonce */ + CHECK(nonce_function_bip340(nonce2, msg, msglen_tmp, key, pk, algo, algolen, NULL) == 1); + CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0); + + /* Different algolen gives different nonce */ + offset = testrand_int(algolen - 1); + algolen_tmp = (algolen + offset) % algolen; + CHECK(nonce_function_bip340(nonce2, msg, msglen, key, pk, algo, algolen_tmp, NULL) == 1); + CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0); + } + + /* NULL aux_rand argument is allowed, and identical to passing all zero aux_rand. */ + memset(aux_rand, 0, 32); + CHECK(nonce_function_bip340(nonce_z, msg, msglen, key, pk, algo, algolen, &aux_rand) == 1); + CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1); + CHECK(secp256k1_memcmp_var(nonce_z, nonce, 32) == 0); +} + +static void test_schnorrsig_api(void) { + unsigned char sk1[32]; + unsigned char sk2[32]; + unsigned char sk3[32]; + unsigned char msg[32]; + secp256k1_keypair keypairs[3]; + secp256k1_keypair invalid_keypair = {{ 0 }}; + secp256k1_xonly_pubkey pk[3]; + secp256k1_xonly_pubkey zero_pk; + unsigned char sig[64]; + secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + secp256k1_schnorrsig_extraparams invalid_extraparams = {{ 0 }, NULL, NULL}; + + testrand256(sk1); + testrand256(sk2); + testrand256(sk3); + testrand256(msg); + CHECK(secp256k1_keypair_create(CTX, &keypairs[0], sk1) == 1); + CHECK(secp256k1_keypair_create(CTX, &keypairs[1], sk2) == 1); + CHECK(secp256k1_keypair_create(CTX, &keypairs[2], sk3) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &pk[0], NULL, &keypairs[0]) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &pk[1], NULL, &keypairs[1]) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &pk[2], NULL, &keypairs[2]) == 1); + memset(&zero_pk, 0, sizeof(zero_pk)); + + /** main test body **/ + CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypairs[0], NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, NULL, msg, &keypairs[0], NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, NULL, &keypairs[0], NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, msg, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, msg, &invalid_keypair, NULL)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_schnorrsig_sign32(STATIC_CTX, sig, msg, &keypairs[0], NULL)); + + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, NULL, msg, sizeof(msg), &keypairs[0], &extraparams)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, sizeof(msg), &keypairs[0], &extraparams)); + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, 0, &keypairs[0], &extraparams) == 1); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), NULL, &extraparams)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &invalid_keypair, &extraparams)); + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_schnorrsig_sign_custom(STATIC_CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams)); + + CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypairs[0], NULL) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk[0]) == 1); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, NULL, msg, sizeof(msg), &pk[0])); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, NULL, sizeof(msg), &pk[0])); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, NULL, 0, &pk[0]) == 0); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &zero_pk)); +} + +/* Checks that hash initialized by secp256k1_schnorrsig_sha256_tagged has the + * expected state. */ +static void test_schnorrsig_sha256_tagged(void) { + unsigned char tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'c', 'h', 'a', 'l', 'l', 'e', 'n', 'g', 'e'}; + secp256k1_sha256 sha; + secp256k1_sha256 sha_optimized; + + secp256k1_sha256_initialize_tagged(&sha, (unsigned char *) tag, sizeof(tag)); + secp256k1_schnorrsig_sha256_tagged(&sha_optimized); + test_sha256_eq(&sha, &sha_optimized); +} + +/* Helper function for schnorrsig_bip_vectors + * Signs the message and checks that it's the same as expected_sig. */ +static void test_schnorrsig_bip_vectors_check_signing(const unsigned char *sk, const unsigned char *pk_serialized, const unsigned char *aux_rand, const unsigned char *msg, size_t msglen, const unsigned char *expected_sig) { + unsigned char sig[64]; + secp256k1_keypair keypair; + secp256k1_xonly_pubkey pk, pk_expected; + + secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + extraparams.ndata = (unsigned char*)aux_rand; + + CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, msglen, &keypair, &extraparams)); + CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0); + if (msglen == 32) { + memset(sig, 0, 64); + CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, aux_rand)); + CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0); + } + + CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk_expected, pk_serialized)); + CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair)); + CHECK(secp256k1_memcmp_var(&pk, &pk_expected, sizeof(pk)) == 0); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, msglen, &pk)); +} + +/* Helper function for schnorrsig_bip_vectors + * Checks that both verify and verify_batch (TODO) return the same value as expected. */ +static void test_schnorrsig_bip_vectors_check_verify(const unsigned char *pk_serialized, const unsigned char *msg, size_t msglen, const unsigned char *sig, int expected) { + secp256k1_xonly_pubkey pk; + + CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk, pk_serialized)); + CHECK(expected == secp256k1_schnorrsig_verify(CTX, sig, msg, msglen, &pk)); +} + +/* Test vectors according to BIP-340 ("Schnorr Signatures for secp256k1"). See + * https://github.com/bitcoin/bips/blob/master/bip-0340/test-vectors.csv. */ +static void test_schnorrsig_bip_vectors(void) { + { + /* Test vector 0 */ + const unsigned char sk[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03 + }; + const unsigned char pk[32] = { + 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, + 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, + 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, + 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 + }; + const unsigned char msg[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 + }; + const unsigned char sig[64] = { + 0xE9, 0x07, 0x83, 0x1F, 0x80, 0x84, 0x8D, 0x10, + 0x69, 0xA5, 0x37, 0x1B, 0x40, 0x24, 0x10, 0x36, + 0x4B, 0xDF, 0x1C, 0x5F, 0x83, 0x07, 0xB0, 0x08, + 0x4C, 0x55, 0xF1, 0xCE, 0x2D, 0xCA, 0x82, 0x15, + 0x25, 0xF6, 0x6A, 0x4A, 0x85, 0xEA, 0x8B, 0x71, + 0xE4, 0x82, 0xA7, 0x4F, 0x38, 0x2D, 0x2C, 0xE5, + 0xEB, 0xEE, 0xE8, 0xFD, 0xB2, 0x17, 0x2F, 0x47, + 0x7D, 0xF4, 0x90, 0x0D, 0x31, 0x05, 0x36, 0xC0 + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 1 */ + const unsigned char sk[32] = { + 0xB7, 0xE1, 0x51, 0x62, 0x8A, 0xED, 0x2A, 0x6A, + 0xBF, 0x71, 0x58, 0x80, 0x9C, 0xF4, 0xF3, 0xC7, + 0x62, 0xE7, 0x16, 0x0F, 0x38, 0xB4, 0xDA, 0x56, + 0xA7, 0x84, 0xD9, 0x04, 0x51, 0x90, 0xCF, 0xEF + }; + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x68, 0x96, 0xBD, 0x60, 0xEE, 0xAE, 0x29, 0x6D, + 0xB4, 0x8A, 0x22, 0x9F, 0xF7, 0x1D, 0xFE, 0x07, + 0x1B, 0xDE, 0x41, 0x3E, 0x6D, 0x43, 0xF9, 0x17, + 0xDC, 0x8D, 0xCF, 0x8C, 0x78, 0xDE, 0x33, 0x41, + 0x89, 0x06, 0xD1, 0x1A, 0xC9, 0x76, 0xAB, 0xCC, + 0xB2, 0x0B, 0x09, 0x12, 0x92, 0xBF, 0xF4, 0xEA, + 0x89, 0x7E, 0xFC, 0xB6, 0x39, 0xEA, 0x87, 0x1C, + 0xFA, 0x95, 0xF6, 0xDE, 0x33, 0x9E, 0x4B, 0x0A + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 2 */ + const unsigned char sk[32] = { + 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, + 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, + 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x14, 0xE5, 0xC9 + }; + const unsigned char pk[32] = { + 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, + 0x12, 0x1F, 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, + 0x01, 0x39, 0x71, 0x53, 0x09, 0xB0, 0x86, 0xC9, + 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 + }; + const unsigned char aux_rand[32] = { + 0xC8, 0x7A, 0xA5, 0x38, 0x24, 0xB4, 0xD7, 0xAE, + 0x2E, 0xB0, 0x35, 0xA2, 0xB5, 0xBB, 0xBC, 0xCC, + 0x08, 0x0E, 0x76, 0xCD, 0xC6, 0xD1, 0x69, 0x2C, + 0x4B, 0x0B, 0x62, 0xD7, 0x98, 0xE6, 0xD9, 0x06 + }; + const unsigned char msg[32] = { + 0x7E, 0x2D, 0x58, 0xD8, 0xB3, 0xBC, 0xDF, 0x1A, + 0xBA, 0xDE, 0xC7, 0x82, 0x90, 0x54, 0xF9, 0x0D, + 0xDA, 0x98, 0x05, 0xAA, 0xB5, 0x6C, 0x77, 0x33, + 0x30, 0x24, 0xB9, 0xD0, 0xA5, 0x08, 0xB7, 0x5C + }; + const unsigned char sig[64] = { + 0x58, 0x31, 0xAA, 0xEE, 0xD7, 0xB4, 0x4B, 0xB7, + 0x4E, 0x5E, 0xAB, 0x94, 0xBA, 0x9D, 0x42, 0x94, + 0xC4, 0x9B, 0xCF, 0x2A, 0x60, 0x72, 0x8D, 0x8B, + 0x4C, 0x20, 0x0F, 0x50, 0xDD, 0x31, 0x3C, 0x1B, + 0xAB, 0x74, 0x58, 0x79, 0xA5, 0xAD, 0x95, 0x4A, + 0x72, 0xC4, 0x5A, 0x91, 0xC3, 0xA5, 0x1D, 0x3C, + 0x7A, 0xDE, 0xA9, 0x8D, 0x82, 0xF8, 0x48, 0x1E, + 0x0E, 0x1E, 0x03, 0x67, 0x4A, 0x6F, 0x3F, 0xB7 + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 3 */ + const unsigned char sk[32] = { + 0x0B, 0x43, 0x2B, 0x26, 0x77, 0x93, 0x73, 0x81, + 0xAE, 0xF0, 0x5B, 0xB0, 0x2A, 0x66, 0xEC, 0xD0, + 0x12, 0x77, 0x30, 0x62, 0xCF, 0x3F, 0xA2, 0x54, + 0x9E, 0x44, 0xF5, 0x8E, 0xD2, 0x40, 0x17, 0x10 + }; + const unsigned char pk[32] = { + 0x25, 0xD1, 0xDF, 0xF9, 0x51, 0x05, 0xF5, 0x25, + 0x3C, 0x40, 0x22, 0xF6, 0x28, 0xA9, 0x96, 0xAD, + 0x3A, 0x0D, 0x95, 0xFB, 0xF2, 0x1D, 0x46, 0x8A, + 0x1B, 0x33, 0xF8, 0xC1, 0x60, 0xD8, 0xF5, 0x17 + }; + const unsigned char aux_rand[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF + }; + const unsigned char msg[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF + }; + const unsigned char sig[64] = { + 0x7E, 0xB0, 0x50, 0x97, 0x57, 0xE2, 0x46, 0xF1, + 0x94, 0x49, 0x88, 0x56, 0x51, 0x61, 0x1C, 0xB9, + 0x65, 0xEC, 0xC1, 0xA1, 0x87, 0xDD, 0x51, 0xB6, + 0x4F, 0xDA, 0x1E, 0xDC, 0x96, 0x37, 0xD5, 0xEC, + 0x97, 0x58, 0x2B, 0x9C, 0xB1, 0x3D, 0xB3, 0x93, + 0x37, 0x05, 0xB3, 0x2B, 0xA9, 0x82, 0xAF, 0x5A, + 0xF2, 0x5F, 0xD7, 0x88, 0x81, 0xEB, 0xB3, 0x27, + 0x71, 0xFC, 0x59, 0x22, 0xEF, 0xC6, 0x6E, 0xA3 + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 4 */ + const unsigned char pk[32] = { + 0xD6, 0x9C, 0x35, 0x09, 0xBB, 0x99, 0xE4, 0x12, + 0xE6, 0x8B, 0x0F, 0xE8, 0x54, 0x4E, 0x72, 0x83, + 0x7D, 0xFA, 0x30, 0x74, 0x6D, 0x8B, 0xE2, 0xAA, + 0x65, 0x97, 0x5F, 0x29, 0xD2, 0x2D, 0xC7, 0xB9 + }; + const unsigned char msg[32] = { + 0x4D, 0xF3, 0xC3, 0xF6, 0x8F, 0xCC, 0x83, 0xB2, + 0x7E, 0x9D, 0x42, 0xC9, 0x04, 0x31, 0xA7, 0x24, + 0x99, 0xF1, 0x78, 0x75, 0xC8, 0x1A, 0x59, 0x9B, + 0x56, 0x6C, 0x98, 0x89, 0xB9, 0x69, 0x67, 0x03 + }; + const unsigned char sig[64] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x3B, 0x78, 0xCE, 0x56, 0x3F, + 0x89, 0xA0, 0xED, 0x94, 0x14, 0xF5, 0xAA, 0x28, + 0xAD, 0x0D, 0x96, 0xD6, 0x79, 0x5F, 0x9C, 0x63, + 0x76, 0xAF, 0xB1, 0x54, 0x8A, 0xF6, 0x03, 0xB3, + 0xEB, 0x45, 0xC9, 0xF8, 0x20, 0x7D, 0xEE, 0x10, + 0x60, 0xCB, 0x71, 0xC0, 0x4E, 0x80, 0xF5, 0x93, + 0x06, 0x0B, 0x07, 0xD2, 0x83, 0x08, 0xD7, 0xF4 + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 5 */ + const unsigned char pk[32] = { + 0xEE, 0xFD, 0xEA, 0x4C, 0xDB, 0x67, 0x77, 0x50, + 0xA4, 0x20, 0xFE, 0xE8, 0x07, 0xEA, 0xCF, 0x21, + 0xEB, 0x98, 0x98, 0xAE, 0x79, 0xB9, 0x76, 0x87, + 0x66, 0xE4, 0xFA, 0xA0, 0x4A, 0x2D, 0x4A, 0x34 + }; + secp256k1_xonly_pubkey pk_parsed; + /* No need to check the signature of the test vector as parsing the pubkey already fails */ + CHECK(!secp256k1_xonly_pubkey_parse(CTX, &pk_parsed, pk)); + } + { + /* Test vector 6 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0xFF, 0xF9, 0x7B, 0xD5, 0x75, 0x5E, 0xEE, 0xA4, + 0x20, 0x45, 0x3A, 0x14, 0x35, 0x52, 0x35, 0xD3, + 0x82, 0xF6, 0x47, 0x2F, 0x85, 0x68, 0xA1, 0x8B, + 0x2F, 0x05, 0x7A, 0x14, 0x60, 0x29, 0x75, 0x56, + 0x3C, 0xC2, 0x79, 0x44, 0x64, 0x0A, 0xC6, 0x07, + 0xCD, 0x10, 0x7A, 0xE1, 0x09, 0x23, 0xD9, 0xEF, + 0x7A, 0x73, 0xC6, 0x43, 0xE1, 0x66, 0xBE, 0x5E, + 0xBE, 0xAF, 0xA3, 0x4B, 0x1A, 0xC5, 0x53, 0xE2 + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 7 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x1F, 0xA6, 0x2E, 0x33, 0x1E, 0xDB, 0xC2, 0x1C, + 0x39, 0x47, 0x92, 0xD2, 0xAB, 0x11, 0x00, 0xA7, + 0xB4, 0x32, 0xB0, 0x13, 0xDF, 0x3F, 0x6F, 0xF4, + 0xF9, 0x9F, 0xCB, 0x33, 0xE0, 0xE1, 0x51, 0x5F, + 0x28, 0x89, 0x0B, 0x3E, 0xDB, 0x6E, 0x71, 0x89, + 0xB6, 0x30, 0x44, 0x8B, 0x51, 0x5C, 0xE4, 0xF8, + 0x62, 0x2A, 0x95, 0x4C, 0xFE, 0x54, 0x57, 0x35, + 0xAA, 0xEA, 0x51, 0x34, 0xFC, 0xCD, 0xB2, 0xBD + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 8 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x6C, 0xFF, 0x5C, 0x3B, 0xA8, 0x6C, 0x69, 0xEA, + 0x4B, 0x73, 0x76, 0xF3, 0x1A, 0x9B, 0xCB, 0x4F, + 0x74, 0xC1, 0x97, 0x60, 0x89, 0xB2, 0xD9, 0x96, + 0x3D, 0xA2, 0xE5, 0x54, 0x3E, 0x17, 0x77, 0x69, + 0x96, 0x17, 0x64, 0xB3, 0xAA, 0x9B, 0x2F, 0xFC, + 0xB6, 0xEF, 0x94, 0x7B, 0x68, 0x87, 0xA2, 0x26, + 0xE8, 0xD7, 0xC9, 0x3E, 0x00, 0xC5, 0xED, 0x0C, + 0x18, 0x34, 0xFF, 0x0D, 0x0C, 0x2E, 0x6D, 0xA6 + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 9 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x12, 0x3D, 0xDA, 0x83, 0x28, 0xAF, 0x9C, 0x23, + 0xA9, 0x4C, 0x1F, 0xEE, 0xCF, 0xD1, 0x23, 0xBA, + 0x4F, 0xB7, 0x34, 0x76, 0xF0, 0xD5, 0x94, 0xDC, + 0xB6, 0x5C, 0x64, 0x25, 0xBD, 0x18, 0x60, 0x51 + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 10 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + 0x76, 0x15, 0xFB, 0xAF, 0x5A, 0xE2, 0x88, 0x64, + 0x01, 0x3C, 0x09, 0x97, 0x42, 0xDE, 0xAD, 0xB4, + 0xDB, 0xA8, 0x7F, 0x11, 0xAC, 0x67, 0x54, 0xF9, + 0x37, 0x80, 0xD5, 0xA1, 0x83, 0x7C, 0xF1, 0x97 + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 11 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x4A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, + 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, + 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, + 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, + 0x69, 0xE8, 0x9B, 0x4C, 0x55, 0x64, 0xD0, 0x03, + 0x49, 0x10, 0x6B, 0x84, 0x97, 0x78, 0x5D, 0xD7, + 0xD1, 0xD7, 0x13, 0xA8, 0xAE, 0x82, 0xB3, 0x2F, + 0xA7, 0x9D, 0x5F, 0x7F, 0xC4, 0x07, 0xD3, 0x9B + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 12 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F, + 0x69, 0xE8, 0x9B, 0x4C, 0x55, 0x64, 0xD0, 0x03, + 0x49, 0x10, 0x6B, 0x84, 0x97, 0x78, 0x5D, 0xD7, + 0xD1, 0xD7, 0x13, 0xA8, 0xAE, 0x82, 0xB3, 0x2F, + 0xA7, 0x9D, 0x5F, 0x7F, 0xC4, 0x07, 0xD3, 0x9B + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 13 */ + const unsigned char pk[32] = { + 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, + 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, + 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, + 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 + }; + const unsigned char msg[32] = { + 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, + 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, + 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, + 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89 + }; + const unsigned char sig[64] = { + 0x6C, 0xFF, 0x5C, 0x3B, 0xA8, 0x6C, 0x69, 0xEA, + 0x4B, 0x73, 0x76, 0xF3, 0x1A, 0x9B, 0xCB, 0x4F, + 0x74, 0xC1, 0x97, 0x60, 0x89, 0xB2, 0xD9, 0x96, + 0x3D, 0xA2, 0xE5, 0x54, 0x3E, 0x17, 0x77, 0x69, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, + 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, + 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 + }; + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); + } + { + /* Test vector 14 */ + const unsigned char pk[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 + }; + secp256k1_xonly_pubkey pk_parsed; + /* No need to check the signature of the test vector as parsing the pubkey already fails */ + CHECK(!secp256k1_xonly_pubkey_parse(CTX, &pk_parsed, pk)); + } + { + /* Test vector 15 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + /* const unsigned char msg[0] = {}; */ + const unsigned char sig[64] = { + 0x71, 0x53, 0x5D, 0xB1, 0x65, 0xEC, 0xD9, 0xFB, + 0xBC, 0x04, 0x6E, 0x5F, 0xFA, 0xEA, 0x61, 0x18, + 0x6B, 0xB6, 0xAD, 0x43, 0x67, 0x32, 0xFC, 0xCC, + 0x25, 0x29, 0x1A, 0x55, 0x89, 0x54, 0x64, 0xCF, + 0x60, 0x69, 0xCE, 0x26, 0xBF, 0x03, 0x46, 0x62, + 0x28, 0xF1, 0x9A, 0x3A, 0x62, 0xDB, 0x8A, 0x64, + 0x9F, 0x2D, 0x56, 0x0F, 0xAC, 0x65, 0x28, 0x27, + 0xD1, 0xAF, 0x05, 0x74, 0xE4, 0x27, 0xAB, 0x63, + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, NULL, 0, sig); + test_schnorrsig_bip_vectors_check_verify(pk, NULL, 0, sig, 1); + } + { + /* Test vector 16 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + const unsigned char msg[] = { 0x11 }; + const unsigned char sig[64] = { + 0x08, 0xA2, 0x0A, 0x0A, 0xFE, 0xF6, 0x41, 0x24, + 0x64, 0x92, 0x32, 0xE0, 0x69, 0x3C, 0x58, 0x3A, + 0xB1, 0xB9, 0x93, 0x4A, 0xE6, 0x3B, 0x4C, 0x35, + 0x11, 0xF3, 0xAE, 0x11, 0x34, 0xC6, 0xA3, 0x03, + 0xEA, 0x31, 0x73, 0xBF, 0xEA, 0x66, 0x83, 0xBD, + 0x10, 0x1F, 0xA5, 0xAA, 0x5D, 0xBC, 0x19, 0x96, + 0xFE, 0x7C, 0xAC, 0xFC, 0x5A, 0x57, 0x7D, 0x33, + 0xEC, 0x14, 0x56, 0x4C, 0xEC, 0x2B, 0xAC, 0xBF, + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 17 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + const unsigned char msg[] = { + 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, + 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, + 0x11, + }; + const unsigned char sig[64] = { + 0x51, 0x30, 0xF3, 0x9A, 0x40, 0x59, 0xB4, 0x3B, + 0xC7, 0xCA, 0xC0, 0x9A, 0x19, 0xEC, 0xE5, 0x2B, + 0x5D, 0x86, 0x99, 0xD1, 0xA7, 0x1E, 0x3C, 0x52, + 0xDA, 0x9A, 0xFD, 0xB6, 0xB5, 0x0A, 0xC3, 0x70, + 0xC4, 0xA4, 0x82, 0xB7, 0x7B, 0xF9, 0x60, 0xF8, + 0x68, 0x15, 0x40, 0xE2, 0x5B, 0x67, 0x71, 0xEC, + 0xE1, 0xE5, 0xA3, 0x7F, 0xD8, 0x0E, 0x5A, 0x51, + 0x89, 0x7C, 0x55, 0x66, 0xA9, 0x7E, 0xA5, 0xA5, + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 18 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + const unsigned char sig[64] = { + 0x40, 0x3B, 0x12, 0xB0, 0xD8, 0x55, 0x5A, 0x34, + 0x41, 0x75, 0xEA, 0x7E, 0xC7, 0x46, 0x56, 0x63, + 0x03, 0x32, 0x1E, 0x5D, 0xBF, 0xA8, 0xBE, 0x6F, + 0x09, 0x16, 0x35, 0x16, 0x3E, 0xCA, 0x79, 0xA8, + 0x58, 0x5E, 0xD3, 0xE3, 0x17, 0x08, 0x07, 0xE7, + 0xC0, 0x3B, 0x72, 0x0F, 0xC5, 0x4C, 0x7B, 0x23, + 0x89, 0x7F, 0xCB, 0xA0, 0xE9, 0xD0, 0xB4, 0xA0, + 0x68, 0x94, 0xCF, 0xD2, 0x49, 0xF2, 0x23, 0x67, + }; + unsigned char msg[100]; + memset(msg, 0x99, sizeof(msg)); + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } +} + +/* Nonce function that returns constant 0 */ +static int nonce_function_failing(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) { + (void) msg; + (void) msglen; + (void) key32; + (void) xonly_pk32; + (void) algo; + (void) algolen; + (void) data; + (void) nonce32; + return 0; +} + +/* Nonce function that sets nonce to 0 */ +static int nonce_function_0(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) { + (void) msg; + (void) msglen; + (void) key32; + (void) xonly_pk32; + (void) algo; + (void) algolen; + (void) data; + + memset(nonce32, 0, 32); + return 1; +} + +/* Nonce function that sets nonce to 0xFF...0xFF */ +static int nonce_function_overflowing(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) { + (void) msg; + (void) msglen; + (void) key32; + (void) xonly_pk32; + (void) algo; + (void) algolen; + (void) data; + + memset(nonce32, 0xFF, 32); + return 1; +} + +static void test_schnorrsig_sign(void) { + unsigned char sk[32]; + secp256k1_xonly_pubkey pk; + secp256k1_keypair keypair; + const unsigned char msg[] = {'t', 'h', 'i', 's', ' ', 'i', 's', ' ', 'a', ' ', 'm', 's', 'g', ' ', 'f', 'o', 'r', ' ', 'a', ' ', 's', 'c', 'h', 'n', 'o', 'r', 'r', 's', 'i', 'g', '.', '.'}; + unsigned char sig[64]; + unsigned char sig2[64]; + unsigned char zeros64[64] = { 0 }; + secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + unsigned char aux_rand[32]; + + testrand256(sk); + testrand256(aux_rand); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); + CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair)); + CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, NULL) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk)); + /* Check that deprecated alias gives the same result */ + CHECK(secp256k1_schnorrsig_sign(CTX, sig2, msg, &keypair, NULL) == 1); + CHECK(secp256k1_memcmp_var(sig, sig2, sizeof(sig)) == 0); + + /* Test different nonce functions */ + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk)); + memset(sig, 1, sizeof(sig)); + extraparams.noncefp = nonce_function_failing; + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 0); + CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) == 0); + memset(&sig, 1, sizeof(sig)); + extraparams.noncefp = nonce_function_0; + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 0); + CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) == 0); + memset(&sig, 1, sizeof(sig)); + extraparams.noncefp = nonce_function_overflowing; + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk)); + + /* When using the default nonce function, schnorrsig_sign_custom produces + * the same result as schnorrsig_sign with aux_rand = extraparams.ndata */ + extraparams.noncefp = NULL; + extraparams.ndata = aux_rand; + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 1); + CHECK(secp256k1_schnorrsig_sign32(CTX, sig2, msg, &keypair, extraparams.ndata) == 1); + CHECK(secp256k1_memcmp_var(sig, sig2, sizeof(sig)) == 0); +} + +#define N_SIGS 3 +/* Creates N_SIGS valid signatures and verifies them with verify and + * verify_batch (TODO). Then flips some bits and checks that verification now + * fails. */ +static void test_schnorrsig_sign_verify(void) { + unsigned char sk[32]; + unsigned char msg[N_SIGS][32]; + unsigned char sig[N_SIGS][64]; + size_t i; + secp256k1_keypair keypair; + secp256k1_xonly_pubkey pk; + secp256k1_scalar s; + + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); + CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair)); + + for (i = 0; i < N_SIGS; i++) { + testrand256(msg[i]); + CHECK(secp256k1_schnorrsig_sign32(CTX, sig[i], msg[i], &keypair, NULL)); + CHECK(secp256k1_schnorrsig_verify(CTX, sig[i], msg[i], sizeof(msg[i]), &pk)); + } + + { + /* Flip a few bits in the signature and in the message and check that + * verify and verify_batch (TODO) fail */ + size_t sig_idx = testrand_int(N_SIGS); + size_t byte_idx = testrand_bits(5); + unsigned char xorbyte = testrand_int(254)+1; + sig[sig_idx][byte_idx] ^= xorbyte; + CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); + sig[sig_idx][byte_idx] ^= xorbyte; + + byte_idx = testrand_bits(5); + sig[sig_idx][32+byte_idx] ^= xorbyte; + CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); + sig[sig_idx][32+byte_idx] ^= xorbyte; + + byte_idx = testrand_bits(5); + msg[sig_idx][byte_idx] ^= xorbyte; + CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); + msg[sig_idx][byte_idx] ^= xorbyte; + + /* Check that above bitflips have been reversed correctly */ + CHECK(secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); + } + + /* Test overflowing s */ + CHECK(secp256k1_schnorrsig_sign32(CTX, sig[0], msg[0], &keypair, NULL)); + CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk)); + memset(&sig[0][32], 0xFF, 32); + CHECK(!secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk)); + + /* Test negative s */ + CHECK(secp256k1_schnorrsig_sign32(CTX, sig[0], msg[0], &keypair, NULL)); + CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk)); + secp256k1_scalar_set_b32(&s, &sig[0][32], NULL); + secp256k1_scalar_negate(&s, &s); + secp256k1_scalar_get_b32(&sig[0][32], &s); + CHECK(!secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk)); + + /* The empty message can be signed & verified */ + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig[0], NULL, 0, &keypair, NULL) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], NULL, 0, &pk) == 1); + + { + /* Test varying message lengths */ + unsigned char msg_large[32 * 8]; + uint32_t msglen = testrand_int(sizeof(msg_large)); + for (i = 0; i < sizeof(msg_large); i += 32) { + testrand256(&msg_large[i]); + } + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig[0], msg_large, msglen, &keypair, NULL) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg_large, msglen, &pk) == 1); + /* Verification for a random wrong message length fails */ + msglen = (msglen + (sizeof(msg_large) - 1)) % sizeof(msg_large); + CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg_large, msglen, &pk) == 0); + } +} +#undef N_SIGS + +static void test_schnorrsig_taproot(void) { + unsigned char sk[32]; + secp256k1_keypair keypair; + secp256k1_xonly_pubkey internal_pk; + unsigned char internal_pk_bytes[32]; + secp256k1_xonly_pubkey output_pk; + unsigned char output_pk_bytes[32]; + unsigned char tweak[32]; + int pk_parity; + unsigned char msg[32]; + unsigned char sig[64]; + + /* Create output key */ + testrand256(sk); + CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &internal_pk, NULL, &keypair) == 1); + /* In actual taproot the tweak would be hash of internal_pk */ + CHECK(secp256k1_xonly_pubkey_serialize(CTX, tweak, &internal_pk) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_pub(CTX, &output_pk, &pk_parity, &keypair) == 1); + CHECK(secp256k1_xonly_pubkey_serialize(CTX, output_pk_bytes, &output_pk) == 1); + + /* Key spend */ + testrand256(msg); + CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, NULL) == 1); + /* Verify key spend */ + CHECK(secp256k1_xonly_pubkey_parse(CTX, &output_pk, output_pk_bytes) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &output_pk) == 1); + + /* Script spend */ + CHECK(secp256k1_xonly_pubkey_serialize(CTX, internal_pk_bytes, &internal_pk) == 1); + /* Verify script spend */ + CHECK(secp256k1_xonly_pubkey_parse(CTX, &internal_pk, internal_pk_bytes) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk_bytes, pk_parity, &internal_pk, tweak) == 1); +} + +static void run_schnorrsig_tests(void) { + int i; + run_nonce_function_bip340_tests(); + + test_schnorrsig_api(); + test_schnorrsig_sha256_tagged(); + test_schnorrsig_bip_vectors(); + for (i = 0; i < COUNT; i++) { + test_schnorrsig_sign(); + test_schnorrsig_sign_verify(); + } + test_schnorrsig_taproot(); +} + +#endif diff --git a/src/secp256k1/src/num.h b/src/secp256k1/src/num.h deleted file mode 100644 index 49f2dd79..00000000 --- a/src/secp256k1/src/num.h +++ /dev/null @@ -1,74 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_NUM_H -#define SECP256K1_NUM_H - -#ifndef USE_NUM_NONE - -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif - -#if defined(USE_NUM_GMP) -#include "num_gmp.h" -#else -#error "Please select num implementation" -#endif - -/** Copy a number. */ -static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a); - -/** Convert a number's absolute value to a binary big-endian string. - * There must be enough place. */ -static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a); - -/** Set a number to the value of a binary big-endian string. */ -static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen); - -/** Compute a modular inverse. The input must be less than the modulus. */ -static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m); - -/** Compute the jacobi symbol (a|b). b must be positive and odd. */ -static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b); - -/** Compare the absolute value of two numbers. */ -static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b); - -/** Test whether two number are equal (including sign). */ -static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b); - -/** Add two (signed) numbers. */ -static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b); - -/** Subtract two (signed) numbers. */ -static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b); - -/** Multiply two (signed) numbers. */ -static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b); - -/** Replace a number by its remainder modulo m. M's sign is ignored. The result is a number between 0 and m-1, - even if r was negative. */ -static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m); - -/** Right-shift the passed number by bits bits. */ -static void secp256k1_num_shift(secp256k1_num *r, int bits); - -/** Check whether a number is zero. */ -static int secp256k1_num_is_zero(const secp256k1_num *a); - -/** Check whether a number is one. */ -static int secp256k1_num_is_one(const secp256k1_num *a); - -/** Check whether a number is strictly negative. */ -static int secp256k1_num_is_neg(const secp256k1_num *a); - -/** Change a number's sign. */ -static void secp256k1_num_negate(secp256k1_num *r); - -#endif - -#endif /* SECP256K1_NUM_H */ diff --git a/src/secp256k1/src/num_gmp.h b/src/secp256k1/src/num_gmp.h deleted file mode 100644 index 3619844b..00000000 --- a/src/secp256k1/src/num_gmp.h +++ /dev/null @@ -1,20 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_NUM_REPR_H -#define SECP256K1_NUM_REPR_H - -#include - -#define NUM_LIMBS ((256+GMP_NUMB_BITS-1)/GMP_NUMB_BITS) - -typedef struct { - mp_limb_t data[2*NUM_LIMBS]; - int neg; - int limbs; -} secp256k1_num; - -#endif /* SECP256K1_NUM_REPR_H */ diff --git a/src/secp256k1/src/num_gmp_impl.h b/src/secp256k1/src/num_gmp_impl.h deleted file mode 100644 index 0ae2a8ba..00000000 --- a/src/secp256k1/src/num_gmp_impl.h +++ /dev/null @@ -1,288 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_NUM_REPR_IMPL_H -#define SECP256K1_NUM_REPR_IMPL_H - -#include -#include -#include - -#include "util.h" -#include "num.h" - -#ifdef VERIFY -static void secp256k1_num_sanity(const secp256k1_num *a) { - VERIFY_CHECK(a->limbs == 1 || (a->limbs > 1 && a->data[a->limbs-1] != 0)); -} -#else -#define secp256k1_num_sanity(a) do { } while(0) -#endif - -static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a) { - *r = *a; -} - -static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a) { - unsigned char tmp[65]; - int len = 0; - int shift = 0; - if (a->limbs>1 || a->data[0] != 0) { - len = mpn_get_str(tmp, 256, (mp_limb_t*)a->data, a->limbs); - } - while (shift < len && tmp[shift] == 0) shift++; - VERIFY_CHECK(len-shift <= (int)rlen); - memset(r, 0, rlen - len + shift); - if (len > shift) { - memcpy(r + rlen - len + shift, tmp + shift, len - shift); - } - memset(tmp, 0, sizeof(tmp)); -} - -static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen) { - int len; - VERIFY_CHECK(alen > 0); - VERIFY_CHECK(alen <= 64); - len = mpn_set_str(r->data, a, alen, 256); - if (len == 0) { - r->data[0] = 0; - len = 1; - } - VERIFY_CHECK(len <= NUM_LIMBS*2); - r->limbs = len; - r->neg = 0; - while (r->limbs > 1 && r->data[r->limbs-1]==0) { - r->limbs--; - } -} - -static void secp256k1_num_add_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { - mp_limb_t c = mpn_add(r->data, a->data, a->limbs, b->data, b->limbs); - r->limbs = a->limbs; - if (c != 0) { - VERIFY_CHECK(r->limbs < 2*NUM_LIMBS); - r->data[r->limbs++] = c; - } -} - -static void secp256k1_num_sub_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { - mp_limb_t c = mpn_sub(r->data, a->data, a->limbs, b->data, b->limbs); - (void)c; - VERIFY_CHECK(c == 0); - r->limbs = a->limbs; - while (r->limbs > 1 && r->data[r->limbs-1]==0) { - r->limbs--; - } -} - -static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m) { - secp256k1_num_sanity(r); - secp256k1_num_sanity(m); - - if (r->limbs >= m->limbs) { - mp_limb_t t[2*NUM_LIMBS]; - mpn_tdiv_qr(t, r->data, 0, r->data, r->limbs, m->data, m->limbs); - memset(t, 0, sizeof(t)); - r->limbs = m->limbs; - while (r->limbs > 1 && r->data[r->limbs-1]==0) { - r->limbs--; - } - } - - if (r->neg && (r->limbs > 1 || r->data[0] != 0)) { - secp256k1_num_sub_abs(r, m, r); - r->neg = 0; - } -} - -static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m) { - int i; - mp_limb_t g[NUM_LIMBS+1]; - mp_limb_t u[NUM_LIMBS+1]; - mp_limb_t v[NUM_LIMBS+1]; - mp_size_t sn; - mp_size_t gn; - secp256k1_num_sanity(a); - secp256k1_num_sanity(m); - - /** mpn_gcdext computes: (G,S) = gcdext(U,V), where - * * G = gcd(U,V) - * * G = U*S + V*T - * * U has equal or more limbs than V, and V has no padding - * If we set U to be (a padded version of) a, and V = m: - * G = a*S + m*T - * G = a*S mod m - * Assuming G=1: - * S = 1/a mod m - */ - VERIFY_CHECK(m->limbs <= NUM_LIMBS); - VERIFY_CHECK(m->data[m->limbs-1] != 0); - for (i = 0; i < m->limbs; i++) { - u[i] = (i < a->limbs) ? a->data[i] : 0; - v[i] = m->data[i]; - } - sn = NUM_LIMBS+1; - gn = mpn_gcdext(g, r->data, &sn, u, m->limbs, v, m->limbs); - (void)gn; - VERIFY_CHECK(gn == 1); - VERIFY_CHECK(g[0] == 1); - r->neg = a->neg ^ m->neg; - if (sn < 0) { - mpn_sub(r->data, m->data, m->limbs, r->data, -sn); - r->limbs = m->limbs; - while (r->limbs > 1 && r->data[r->limbs-1]==0) { - r->limbs--; - } - } else { - r->limbs = sn; - } - memset(g, 0, sizeof(g)); - memset(u, 0, sizeof(u)); - memset(v, 0, sizeof(v)); -} - -static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b) { - int ret; - mpz_t ga, gb; - secp256k1_num_sanity(a); - secp256k1_num_sanity(b); - VERIFY_CHECK(!b->neg && (b->limbs > 0) && (b->data[0] & 1)); - - mpz_inits(ga, gb, NULL); - - mpz_import(gb, b->limbs, -1, sizeof(mp_limb_t), 0, 0, b->data); - mpz_import(ga, a->limbs, -1, sizeof(mp_limb_t), 0, 0, a->data); - if (a->neg) { - mpz_neg(ga, ga); - } - - ret = mpz_jacobi(ga, gb); - - mpz_clears(ga, gb, NULL); - - return ret; -} - -static int secp256k1_num_is_one(const secp256k1_num *a) { - return (a->limbs == 1 && a->data[0] == 1); -} - -static int secp256k1_num_is_zero(const secp256k1_num *a) { - return (a->limbs == 1 && a->data[0] == 0); -} - -static int secp256k1_num_is_neg(const secp256k1_num *a) { - return (a->limbs > 1 || a->data[0] != 0) && a->neg; -} - -static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b) { - if (a->limbs > b->limbs) { - return 1; - } - if (a->limbs < b->limbs) { - return -1; - } - return mpn_cmp(a->data, b->data, a->limbs); -} - -static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b) { - if (a->limbs > b->limbs) { - return 0; - } - if (a->limbs < b->limbs) { - return 0; - } - if ((a->neg && !secp256k1_num_is_zero(a)) != (b->neg && !secp256k1_num_is_zero(b))) { - return 0; - } - return mpn_cmp(a->data, b->data, a->limbs) == 0; -} - -static void secp256k1_num_subadd(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b, int bneg) { - if (!(b->neg ^ bneg ^ a->neg)) { /* a and b have the same sign */ - r->neg = a->neg; - if (a->limbs >= b->limbs) { - secp256k1_num_add_abs(r, a, b); - } else { - secp256k1_num_add_abs(r, b, a); - } - } else { - if (secp256k1_num_cmp(a, b) > 0) { - r->neg = a->neg; - secp256k1_num_sub_abs(r, a, b); - } else { - r->neg = b->neg ^ bneg; - secp256k1_num_sub_abs(r, b, a); - } - } -} - -static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { - secp256k1_num_sanity(a); - secp256k1_num_sanity(b); - secp256k1_num_subadd(r, a, b, 0); -} - -static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { - secp256k1_num_sanity(a); - secp256k1_num_sanity(b); - secp256k1_num_subadd(r, a, b, 1); -} - -static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { - mp_limb_t tmp[2*NUM_LIMBS+1]; - secp256k1_num_sanity(a); - secp256k1_num_sanity(b); - - VERIFY_CHECK(a->limbs + b->limbs <= 2*NUM_LIMBS+1); - if ((a->limbs==1 && a->data[0]==0) || (b->limbs==1 && b->data[0]==0)) { - r->limbs = 1; - r->neg = 0; - r->data[0] = 0; - return; - } - if (a->limbs >= b->limbs) { - mpn_mul(tmp, a->data, a->limbs, b->data, b->limbs); - } else { - mpn_mul(tmp, b->data, b->limbs, a->data, a->limbs); - } - r->limbs = a->limbs + b->limbs; - if (r->limbs > 1 && tmp[r->limbs - 1]==0) { - r->limbs--; - } - VERIFY_CHECK(r->limbs <= 2*NUM_LIMBS); - mpn_copyi(r->data, tmp, r->limbs); - r->neg = a->neg ^ b->neg; - memset(tmp, 0, sizeof(tmp)); -} - -static void secp256k1_num_shift(secp256k1_num *r, int bits) { - if (bits % GMP_NUMB_BITS) { - /* Shift within limbs. */ - mpn_rshift(r->data, r->data, r->limbs, bits % GMP_NUMB_BITS); - } - if (bits >= GMP_NUMB_BITS) { - int i; - /* Shift full limbs. */ - for (i = 0; i < r->limbs; i++) { - int index = i + (bits / GMP_NUMB_BITS); - if (index < r->limbs && index < 2*NUM_LIMBS) { - r->data[i] = r->data[index]; - } else { - r->data[i] = 0; - } - } - } - while (r->limbs>1 && r->data[r->limbs-1]==0) { - r->limbs--; - } -} - -static void secp256k1_num_negate(secp256k1_num *r) { - r->neg ^= 1; -} - -#endif /* SECP256K1_NUM_REPR_IMPL_H */ diff --git a/src/secp256k1/src/num_impl.h b/src/secp256k1/src/num_impl.h deleted file mode 100644 index c45193b0..00000000 --- a/src/secp256k1/src/num_impl.h +++ /dev/null @@ -1,24 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_NUM_IMPL_H -#define SECP256K1_NUM_IMPL_H - -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif - -#include "num.h" - -#if defined(USE_NUM_GMP) -#include "num_gmp_impl.h" -#elif defined(USE_NUM_NONE) -/* Nothing. */ -#else -#error "Please select num implementation" -#endif - -#endif /* SECP256K1_NUM_IMPL_H */ diff --git a/src/secp256k1/src/precompute_ecmult.c b/src/secp256k1/src/precompute_ecmult.c new file mode 100644 index 00000000..5ef198a7 --- /dev/null +++ b/src/secp256k1/src/precompute_ecmult.c @@ -0,0 +1,90 @@ +/***************************************************************************************************** + * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *****************************************************************************************************/ + +#include +#include + +#include "../include/secp256k1.h" + +#include "assumptions.h" +#include "util.h" + +#include "field_impl.h" +#include "group_impl.h" +#include "int128_impl.h" +#include "ecmult.h" +#include "ecmult_compute_table_impl.h" + +static void print_table(FILE *fp, const char *name, int window_g, const secp256k1_ge_storage* table) { + int j; + int i; + + fprintf(fp, "const secp256k1_ge_storage %s[ECMULT_TABLE_SIZE(WINDOW_G)] = {\n", name); + fprintf(fp, " S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 + ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n", + SECP256K1_GE_STORAGE_CONST_GET(table[0])); + + j = 1; + for(i = 3; i <= window_g; ++i) { + fprintf(fp, "#if WINDOW_G > %d\n", i-1); + for(;j < ECMULT_TABLE_SIZE(i); ++j) { + fprintf(fp, ",S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 + ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n", + SECP256K1_GE_STORAGE_CONST_GET(table[j])); + } + fprintf(fp, "#endif\n"); + } + fprintf(fp, "};\n"); +} + +static void print_two_tables(FILE *fp, int window_g) { + secp256k1_ge_storage* table = malloc(ECMULT_TABLE_SIZE(window_g) * sizeof(secp256k1_ge_storage)); + secp256k1_ge_storage* table_128 = malloc(ECMULT_TABLE_SIZE(window_g) * sizeof(secp256k1_ge_storage)); + + secp256k1_ecmult_compute_two_tables(table, table_128, window_g, &secp256k1_ge_const_g); + + print_table(fp, "secp256k1_pre_g", window_g, table); + print_table(fp, "secp256k1_pre_g_128", window_g, table_128); + + free(table); + free(table_128); +} + +int main(void) { + /* Always compute all tables for window sizes up to 15. */ + int window_g = (ECMULT_WINDOW_SIZE < 15) ? 15 : ECMULT_WINDOW_SIZE; + const char outfile[] = "src/precomputed_ecmult.c"; + FILE* fp; + + fp = fopen(outfile, "w"); + if (fp == NULL) { + fprintf(stderr, "Could not open %s for writing!\n", outfile); + return -1; + } + + fprintf(fp, "/* This file was automatically generated by precompute_ecmult. */\n"); + fprintf(fp, "/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and\n"); + fprintf(fp, " * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.\n"); + fprintf(fp, " */\n"); + fprintf(fp, "#include \"group.h\"\n"); + fprintf(fp, "#include \"ecmult.h\"\n"); + fprintf(fp, "#include \"precomputed_ecmult.h\"\n"); + fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n"); + fprintf(fp, "#if ECMULT_WINDOW_SIZE > %d\n", window_g); + fprintf(fp, " #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting precomputed_ecmult.c before the build.\n"); + fprintf(fp, "#endif\n"); + fprintf(fp, "#ifdef EXHAUSTIVE_TEST_ORDER\n"); + fprintf(fp, "# error Cannot compile precomputed_ecmult.c in exhaustive test mode\n"); + fprintf(fp, "#endif /* EXHAUSTIVE_TEST_ORDER */\n"); + fprintf(fp, "#define WINDOW_G ECMULT_WINDOW_SIZE\n"); + + print_two_tables(fp, window_g); + + fprintf(fp, "#undef S\n"); + fclose(fp); + + return 0; +} diff --git a/src/secp256k1/src/precompute_ecmult_gen.c b/src/secp256k1/src/precompute_ecmult_gen.c new file mode 100644 index 00000000..4d153a65 --- /dev/null +++ b/src/secp256k1/src/precompute_ecmult_gen.c @@ -0,0 +1,100 @@ +/********************************************************************************* + * Copyright (c) 2013, 2014, 2015, 2021 Thomas Daede, Cory Fields, Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *********************************************************************************/ + +#include +#include + +#include "../include/secp256k1.h" + +#include "assumptions.h" +#include "util.h" + +#include "group.h" +#include "int128_impl.h" +#include "ecmult_gen.h" +#include "ecmult_gen_compute_table_impl.h" + +static const int CONFIGS[][2] = { + {2, 5}, + {11, 6}, + {43, 6} +}; + +static void print_table(FILE* fp, int blocks, int teeth) { + int spacing = CEIL_DIV(256, blocks * teeth); + size_t points = ((size_t)1) << (teeth - 1); + int outer; + size_t inner; + + secp256k1_ge_storage* table = checked_malloc(&default_error_callback, blocks * points * sizeof(secp256k1_ge_storage)); + secp256k1_ecmult_gen_compute_table(table, &secp256k1_ge_const_g, blocks, teeth, spacing); + + fprintf(fp, "#elif (COMB_BLOCKS == %d) && (COMB_TEETH == %d) && (COMB_SPACING == %d)\n", blocks, teeth, spacing); + for (outer = 0; outer != blocks; outer++) { + fprintf(fp,"{"); + for (inner = 0; inner != points; inner++) { + fprintf(fp, "S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 + ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")", + SECP256K1_GE_STORAGE_CONST_GET(table[outer * points + inner])); + if (inner != points - 1) { + fprintf(fp,",\n"); + } + } + if (outer != blocks - 1) { + fprintf(fp,"},\n"); + } else { + fprintf(fp,"}\n"); + } + } + free(table); +} + +int main(int argc, char **argv) { + const char outfile[] = "src/precomputed_ecmult_gen.c"; + FILE* fp; + size_t config; + int did_current_config = 0; + + (void)argc; + (void)argv; + + fp = fopen(outfile, "w"); + if (fp == NULL) { + fprintf(stderr, "Could not open %s for writing!\n", outfile); + return -1; + } + + fprintf(fp, "/* This file was automatically generated by precompute_ecmult_gen. */\n"); + fprintf(fp, "/* See ecmult_gen_impl.h for details about the contents of this file. */\n"); + fprintf(fp, "#include \"group.h\"\n"); + fprintf(fp, "#include \"ecmult_gen.h\"\n"); + fprintf(fp, "#include \"precomputed_ecmult_gen.h\"\n"); + fprintf(fp, "#ifdef EXHAUSTIVE_TEST_ORDER\n"); + fprintf(fp, "# error Cannot compile precomputed_ecmult_gen.c in exhaustive test mode\n"); + fprintf(fp, "#endif /* EXHAUSTIVE_TEST_ORDER */\n"); + fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n"); + + fprintf(fp, "const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS] = {\n"); + fprintf(fp, "#if 0\n"); + for (config = 0; config < sizeof(CONFIGS) / sizeof(*CONFIGS); ++config) { + print_table(fp, CONFIGS[config][0], CONFIGS[config][1]); + if (CONFIGS[config][0] == COMB_BLOCKS && CONFIGS[config][1] == COMB_TEETH) { + did_current_config = 1; + } + } + if (!did_current_config) { + print_table(fp, COMB_BLOCKS, COMB_TEETH); + } + fprintf(fp, "#else\n"); + fprintf(fp, "# error Configuration mismatch, invalid COMB_* parameters. Try deleting precomputed_ecmult_gen.c before the build.\n"); + fprintf(fp, "#endif\n"); + + fprintf(fp, "};\n"); + fprintf(fp, "#undef S\n"); + fclose(fp); + + return 0; +} diff --git a/src/secp256k1/src/precomputed_ecmult.c b/src/secp256k1/src/precomputed_ecmult.c new file mode 100644 index 00000000..cbd030ce --- /dev/null +++ b/src/secp256k1/src/precomputed_ecmult.c @@ -0,0 +1,16456 @@ +/* This file was automatically generated by precompute_ecmult. */ +/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and + * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G. + */ +#include "group.h" +#include "ecmult.h" +#include "precomputed_ecmult.h" +#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u) +#if ECMULT_WINDOW_SIZE > 15 + #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting precomputed_ecmult.c before the build. +#endif +#ifdef EXHAUSTIVE_TEST_ORDER +# error Cannot compile precomputed_ecmult.c in exhaustive test mode +#endif /* EXHAUSTIVE_TEST_ORDER */ +#define WINDOW_G ECMULT_WINDOW_SIZE +const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(79be667e,f9dcbbac,55a06295,ce870b07,29bfcdb,2dce28d9,59f2815b,16f81798,483ada77,26a3c465,5da4fbfc,e1108a8,fd17b448,a6855419,9c47d08f,fb10d4b8) +#if WINDOW_G > 2 +,S(f9308a01,9258c310,49344f85,f89d5229,b531c845,836f99b0,8601f113,bce036f9,388f7b0f,632de814,fe337e6,2a37f356,6500a999,34c2231b,6cb9fd75,84b8e672) +#endif +#if WINDOW_G > 3 +,S(2f8bde4d,1a072093,55b4a725,a5c5128,e88b84bd,dc619ab7,cba8d569,b240efe4,d8ac2226,36e5e3d6,d4dba9dd,a6c9c426,f788271b,ab0d6840,dca87d3a,a6ac62d6) +,S(5cbdf064,6e5db4ea,a398f365,f2ea7a0e,3d419b7e,330e39c,e92bdded,cac4f9bc,6aebca40,ba255960,a3178d6d,861a54db,a813d0b8,13fde7b5,a5082628,87264da) +#endif +#if WINDOW_G > 4 +,S(acd484e2,f0c7f653,9ad178a,9f559abd,e0979697,4c57e714,c35f110d,fc27ccbe,cc338921,b0a7d9fd,64380971,763b61e9,add888a4,375f8e0f,5cc262a,c64f9c37) +,S(774ae7f8,58a9411e,5ef4246b,70c65aac,5649980b,e5c17891,bbec1789,5da008cb,d984a032,eb6b5e19,243dd56,d7b7b365,372db1e2,dff9d6a8,301d74c9,c953c61b) +,S(f28773c2,d975288b,c7d1d205,c3748651,b075fbc6,610e58cd,deeddf8f,19405aa8,ab0902e,8d880a89,758212eb,65cdaf47,3a1a06da,521fa91f,29b5cb52,db03ed81) +,S(d7924d4f,7d43ea96,5a465ae3,95ff411,31e5946f,3c85f79e,44adbcf8,e27e080e,581e2872,a86c72a6,83842ec2,28cc6def,ea40af2b,d896d3a5,c504dc9f,f6a26b58) +#endif +#if WINDOW_G > 5 +,S(defdea4c,db677750,a420fee8,7eacf21,eb9898ae,79b97687,66e4faa0,4a2d4a34,4211ab06,94635168,e997b0ea,d2a93dae,ced1f4a0,4a95c0f6,cfb199f6,9e56eb77) +,S(2b4ea0a7,97a443d2,93ef5cff,444f4979,f06acfeb,d7e86d27,74756561,38385b6c,85e89bc0,37945d93,b343083b,5a1c8613,1a01f60c,50269763,b570c854,e5c09b7a) +,S(352bbf4a,4cdd1256,4f93fa33,2ce33330,1d9ad402,71f81071,81340aef,25be59d5,321eb407,5348f534,d59c1825,9dda3e1f,4a1b3b2e,71b1039c,67bd3d8b,cf81998c) +,S(2fa2104d,6b38d11b,2300105,59879124,e42ab8df,eff5ff29,dc9cdadd,4ecacc3f,2de1068,295dd865,b6456933,5bd5dd80,181d70ec,fc882648,423ba76b,532b7d67) +,S(9248279b,9b4d68d,ab21a9b0,66edda83,263c3d84,e09572e2,69ca0cd7,f5453714,73016f7b,f234aade,5d1aa71b,dea2b1ff,3fc0de2a,887912ff,e54a32ce,97cb3402) +,S(daed4f2b,e3a8bf27,8e70132f,b0beb752,2f570e14,4bf615c0,7e996d44,3dee8729,a69dce4a,7d6c98e8,d4a1aca8,7ef8d700,3f83c230,f3afa726,ab40e522,90be1c55) +,S(c44d12c7,65d812e,8acf28d7,cbb19f90,11ecd9e9,fdf281b0,e6a3b5e8,7d22e7db,2119a460,ce326cdc,76c45926,c982fdac,e106e86,1edf61c5,a039063f,e0e6482) +,S(6a245bf6,dc698504,c89a20cf,ded60853,152b6953,36c28063,b61c65cb,d269e6b4,e022cf42,c2bd4a70,8b3f5126,f16a24ad,8b33ba48,d0423b6e,fd5e6348,100d8a82) +#endif +#if WINDOW_G > 6 +,S(1697ffa6,fd9de627,c077e3d2,fe541084,ce13300b,bec1146,f95ae57f,d0bd6a5,b9c398f1,86806f5d,27561506,e4557433,a2cf1500,9e498ae7,adee9d63,d01b2396) +,S(605bdb01,9981718b,986d0f07,e834cb0d,9deb8360,ffb7f61d,f982345e,f27a7479,2972d2d,e4f8d206,81a78d93,ec96fe23,c26bfae8,4fb14db4,3b01e1e9,56b8c49) +,S(62d14dab,4150bf49,7402fdc4,5a215e10,dcb01c35,4959b10c,fe31c7e9,d87ff33d,80fc06bd,8cc5b010,98088a19,50eed0db,1aa1329,67ab4722,35f56424,83b25eaf) +,S(80c60ad0,40f27da,de5b4b06,c408e56b,2c50e9f5,6b9b8b42,5e555c2f,86308b6f,1c38303f,1cc5c30f,26e66bad,7fe72f70,a65eed4c,be7024eb,1aa01f56,430bd57a) +,S(7a9375ad,6167ad54,aa74c634,8cc54d34,4cc5dc94,87d84704,9d5eabb0,fa03c8fb,d0e3fa9,eca87269,9559e0d,79269046,bdc59ea1,c70ce2b,2d499ec,224dc7f7) +,S(d528ecd9,b696b54c,907a9ed0,45447a79,bb408ec3,9b68df50,4bb51f45,9bc3ffc9,eecf4125,3136e5f9,9966f218,81fd656e,bc434540,5c520dbc,63465b5,21409933) +,S(49370a4,b5f43412,ea25f514,e8ecdad0,5266115e,4a7ecb13,87231808,f8b45963,758f3f41,afd6ed42,8b3081b0,512fd62a,54c3f3af,bb5b6764,b653052a,12949c9a) +,S(77f23093,6ee88cbb,d73df930,d64702ef,881d811e,e1498e2,f1c13eb1,fc345d74,958ef42a,7886b640,a08266e,9ba1b378,96c95330,d97077cb,be8eb3c7,671c60d6) +,S(f2dac991,cc4ce4b9,ea44887e,5c7c0bce,58c80074,ab9d4dba,eb28531b,7739f530,e0dedc9b,3b2f8dad,4da1f32d,ec2531df,9eb5fbeb,598e4fd,1a117dba,703a3c37) +,S(463b3d9f,662621fb,1b4be8fb,be252012,5a216cdf,c9dae3de,bcba4850,c690d45b,5ed430d7,8c296c35,43114306,dd8622d7,c622e27c,970a1de3,1cb377b0,1af7307e) +,S(f16f8042,44e46e2a,9232d4a,ff3b5997,6b98fac1,4328a2d1,a32496b4,9998f247,cedabd9b,82203f7e,13d206fc,df4e33d9,2a6c53c2,6e5cce26,d6579962,c4e31df6) +,S(caf75427,2dc84563,b0352b7a,14311af5,5d245315,ace27c65,369e15f7,151d41d1,cb474660,ef35f5f2,a41b643f,a5e46057,5f4fa9b7,962232a5,c32f9083,18a04476) +,S(2600ca4b,282cb986,f85d0f17,9979d8b,44a09c07,cb86d7c1,24497bc8,6f082120,4119b887,53c15bd6,a693b03f,cddbb45d,5ac6be74,ab5f0ef4,4b0be947,5a7e4b40) +,S(7635ca72,d7e8432c,338ec53c,d12220bc,1c48685,e24f7dc8,c602a774,6998e435,91b6496,9489d61,3d1d5e59,f78e6d7,4ecfc061,d57048ba,d9e76f30,2c5b9c61) +,S(754e3239,f325570c,dbbf4a87,deee8a66,b7f2b334,79d468fb,c1a50743,bf56cc18,673fb86,e5bda30f,b3cd0ed3,4ea49a0,23ee33d0,197a695d,c5d9809,3c536683) +,S(e3e6bd10,71a1e96a,ff57859c,82d570f0,33080066,1d1c952f,9fe26946,91d9b9e8,59c9e0bb,a394e76f,40c0aa58,379a3cb6,a5a22839,93e90c41,67002af4,920e37f5) +#endif +#if WINDOW_G > 7 +,S(186b483d,56a0338,26ae73d8,8f732985,c4ccb1f3,2ba35f4b,4cc47fdc,f04aa6eb,3b952d32,c67cf77e,2e17446e,204180ab,21fb8090,895138b4,a4a797f8,6e80888b) +,S(df9d70a6,b9876ce5,44c98561,f4be4f72,5442e6d2,b737d9c9,1a832172,4ce0963f,55eb2daf,d84d6ccd,5f862b78,5dc39d4a,b1572227,20ef9da2,17b8c45c,f2ba2417) +,S(5edd5cc2,3c51e87a,497ca815,d5dce0f8,ab52554f,849ed899,5de64c5f,34ce7143,efae9c8d,bc141306,61e8cec0,30c89ad0,c13c66c0,d17a2905,cdc706ab,7399a868) +,S(290798c2,b6476830,da12fe02,287e9e77,7aa3fba1,c355b17a,722d362f,84614fba,e38da76d,cd440621,988d00bc,f79af25d,5b29c094,db2a2314,6d003afd,41943e7a) +,S(af3c423a,95d9f5b3,54754ef,a150ac39,cd29552f,e3602573,62dfdece,f4053b45,f98a3fd8,31eb2b74,9a93b0e6,f35cfb40,c8cd5aa6,67a15581,bc2feded,498fd9c6) +,S(766dbb24,d134e745,cccaa28c,99bf2749,6bb66b2,6dcf98df,8d2fed50,d884249a,744b1152,eacbe5e3,8dcc8879,80da38b8,97584a65,fa06cedd,2c924f97,cbac5996) +,S(59dbf46f,8c94759b,a21277c3,3784f416,45f7b44f,6c596a58,ce92e666,191abe3e,c534ad44,175fbc30,f4ea6ce,648309a0,42ce739a,7919798c,d85e216c,4a307f6e) +,S(f13ada95,103c4537,305e691e,74e9a4a8,dd647e71,1a95e73c,b62dc601,8cfd87b8,e13817b4,4ee14de6,63bf4bc8,8341f32,6949e21a,6a75c257,778419b,daf5733d) 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+,S(10fc632c,cab22fd3,2583599a,a2efaaf1,6e1b01e6,a5a96c59,50871012,33022152,cf53d9ec,c74aef44,7019150f,ddfde494,c2382a07,b2dfd73b,c628478f,7fbae0eb) +,S(785f4da0,240de52d,bb50b1bd,bc53994a,47318076,9a1fe06e,5a40a8e,e677ce63,9b5759d2,f77bbb9,e40ac169,a01500ca,6dd6bd70,6a003871,e7ba4d66,b32db9e6) +,S(a7f20615,593850c3,27aaa06f,c03e0d46,d3ff20a0,9b849810,1759638d,8cbb9cf,13b9ebb6,f0cd59ef,54e0f935,87a14fe1,2337e346,94f5e8f1,10323fbd,d7604d3c) +,S(cf083e4f,e0ed4444,85dbd99d,8e6823bb,483eb749,b94ce672,8671de8,6105aa4a,36eaa305,37378494,17050dc2,8290c74d,d9ff9df4,cbfa434a,2b89de00,e06f3099) +,S(9fb8c370,bca485d1,dcadc251,ee906f58,6f3e177,be37baec,6912e535,f5c7ab0a,df5cf77e,1ad07532,7150136e,7ebe7f35,1db47415,74444b24,e9cf2f4f,31ec683c) +,S(ff9e2f29,170dd456,2c94d48c,eeb0390d,db783702,c13574f,8a8c6a79,6427adca,784c7b68,3c824603,5077911f,957aa33b,47534180,d70a60d9,f248b860,736a24c2) +,S(802343c3,e07f9f9d,ed2ca436,3e455427,367b852c,d23ffd7f,fd690eab,90b4162a,b093f0c5,f0fc7d01,a5dfb7f6,bf9d90d8,8595140a,a13fbfc0,f7d6af2f,54ff5ce0) +,S(ae74ed87,11a1a684,9e558e05,47ff8f9b,f6337551,1dd3d272,ee0597fb,fc2d6914,c304897c,e5afb5b9,a383cb64,e85071a3,cfbb2981,93ea6ce0,55257ba4,cf15bec6) +,S(c099b05a,dceb601a,14892c97,7b267152,f29ea71e,fed6090e,7267249e,43c2390f,6c3ad3eb,8c95c72f,e0030a7d,34329945,fd1eb71d,8c4aa1f9,8fa4656c,6bef067f) +,S(97c6949,a25581f5,945814e9,9d590dff,67d936d5,94101005,4cac33d0,fb3658a5,cdc7faad,5bc387ce,a16a10f6,6971e5ee,6d32756b,596adc14,57081ad4,1dbd2e4e) +,S(14a19edc,a1ec89e9,524548ef,cf3dbc03,81b14b46,928f7425,87b11df1,7aa721f7,f83c4d0,aca08709,63a017b6,8db3434d,6088015c,2ff1d8bd,739fd620,35d1a19e) +,S(4742af63,c7597424,e6d04a8c,cb43142c,54c5b350,175bf5a7,27c39820,2187d00e,bb1f2f72,b21e15f,ec17af32,2147edfe,1ca80ac8,3e030dfe,8be39fdd,f340c56d) +,S(a6597869,4d168b00,d9df41de,fcd48ae9,68313394,db683407,330ffae9,f2559a11,6bf65c42,13317a5d,fb561e8c,872c8b1b,90bdabc8,8a8d2e1e,39919f8e,5043ced3) +,S(9e62e468,1e22abde,4d7a2fa1,2f7867f6,ecbfc15b,54990e26,821a8cde,fed76985,4877297b,a64fa8ed,c039ab1a,e62ac72d,8d7bbf05,7513d1,4237b8dd,9f1acd37) +,S(d24333b4,de55b0f5,d47c72e4,88cee8ee,8c960903,260a64d2,c89bca45,db7352c5,688b20b0,617ac12d,5be38fa2,ab52e785,69766a83,2d8b44d5,cfd6ee88,b19b9f1d) +,S(d203301a,13d1c8ae,a8c79007,1ef8116c,3916bb3e,dd5110a7,304b9145,465be838,a606dcea,398dc313,e61c8fbb,dbbc3874,3c103297,164e66a1,4412a21a,5319e55c) +,S(d1aa98ab,7010146f,16a9d6b,cd911535,2595bfa5,1bccb3d5,5e3a4a87,62666610,3abafa4,999294e8,80e3fae9,edb4206b,9b9786d,bddcaec,e2d01cf1,ab715690) +,S(1e20823e,81051b2,65535085,9aefed6,3631dbe,23b4e79,abd3c17c,21f053f4,e238adb6,86592008,f7fe34b9,9b934060,15c323ec,55981b27,85feae6e,5fde7186) +,S(d878afb8,8527a861,4b4276d8,fba39300,72196017,6f437014,980b7bbf,d4320ffc,7403107b,fca8ac64,baa94a4b,128e72ee,4a015675,845519ba,d5609331,1680e7) +,S(53f86d45,61deef96,ca88a685,38fd35ec,a95740a4,3a52c601,faaad0c2,aa3ab72f,667a6ece,bfb97682,c5e9e5df,b6d29156,9604f63,d9ab00ab,8cb10000,e6b01514) +,S(20990660,f1055420,b885fb0a,38824740,3b141c37,5aa20dce,8a29191a,e77bbb16,7d434476,9e302e38,9e14c02e,f5fd8a5c,64cfcf3d,e9813f1c,f53bc6d3,4da93559) +,S(1e70619c,381a6adc,e5d925e0,c9c74f97,3c02ff64,ff2662d7,34efc485,d2bce895,c923f771,f543ffed,42935c28,8474aaaf,80a46ad4,3c579ce0,bb5e663d,668b24b3) +#endif +}; +const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(8f68b9d2,f63b5f33,9239c1ad,981f162e,e88c5678,723ea335,1b7b444c,9ec4c0da,662a9f2d,ba063986,de1d90c2,b6be215d,bbea2cfe,95510bfd,f23cbf79,501fff82) +#if WINDOW_G > 2 +,S(38381dbe,2e509f22,8ba93363,f2451f08,fd845cb3,51d954be,18e2b8ed,d23809fa,e4a32d0a,fb917dc,b09405a5,520eb1cc,3681fccb,32d8f24d,bd707518,331fed52) +#endif +#if WINDOW_G > 3 +,S(49262724,e4372ae6,f6921b82,aa4699a1,f186aea5,40122630,3ea42648,97c2a310,1337e773,bca7abf9,5a2cfa56,9714303b,6d163612,a75ff8ce,c41b681,5e27ded0) +,S(e306568c,1a240c90,d5e253b3,e477e2f8,4dcc1a56,ff06db8d,1384b079,cebd2d31,eac6fe3,78934260,888f2b10,7f7d0db6,ffbc8042,be373826,692b4083,92546e44) +#endif +#if WINDOW_G > 4 +,S(3b9e100e,2428cefc,271b0e76,23fbd633,74ebf8d9,aab41dd9,c530c39e,363136b0,fafb9815,2d16bb71,df1533eb,8f475b26,a2ae28a3,3ad31f81,953ec16f,6cdbbc8a) +,S(bb0aad49,712ac9a9,2b76ca80,f5dedef7,17ca0768,8107beee,9608f047,2f485d3f,ea699c53,c5835479,8ecd201f,7297da34,895a5afa,31670bff,e7939250,3ca2f975) +,S(79090ac8,e4eefcc0,d4e8eb19,7afe0113,e1e58b4d,b01123de,4aeed33a,36718dc9,eaab722b,91905b8f,13d816cb,cd9aaa56,dd36afb7,ba9008b,963322b1,1cfae7c5) +,S(e77c81ad,e9f97b55,1c03dbbc,e549ba66,8dd71de7,cd775ad2,a269694c,7f60c7d1,3acf1478,eef81321,c5fc3b32,3ea81543,631470f7,1c2986d3,4ec581f2,82d72449) +#endif +#if WINDOW_G > 5 +,S(de2b5ce9,dbce511c,f2d8878e,3ded87cc,3d633dae,a2d45341,501fb3a4,55ccf6b0,f10576f3,d3c3e0e1,bbf717e9,8b1a3744,65b8c45a,c66318bb,34829eb7,11100666) +,S(d07bddff,d491a2fe,1ea59fbd,7c121217,29659ca5,de46658b,26b1460b,13c03c56,b2ad4708,cd3c97dd,f9c40e2,a1de04d5,61d963ff,8cc2eea7,6be3f60c,2b405ce7) +,S(82403e7c,5d3016af,3765ec4c,396ce8e1,f8da45c,434b8257,10edab41,bb6a4d51,d09661b,e27cb767,4456badd,b3e84051,99ab6ccc,4ec67c1b,11e92ead,7b463b19) +,S(eadc3131,fbd626f5,263faa58,c4caf4d9,930f933d,9541c23f,438cb486,750680cf,d3c977b1,c9b4a897,5c64b36c,972d5d01,a388fb9d,c3791a74,36094ff1,2c87a914) +,S(3903ee5f,6758ff24,c518a4b3,86748f4f,36bdd65c,b77e78ac,609f2909,fc7987d9,e92194e,a15241d6,40915934,bd234749,8d222a18,4927a8da,b0cfe2ae,182be83b) +,S(d0803b78,39ab48a3,8475bdcc,f9a9f219,5759c343,dbbf8e93,23e1f882,5be6a5d9,2cc3b180,ff29c97e,a12ec15f,b38bafa4,4ecf06c,e51d1d24,2894a926,64582f0b) +,S(1f56f096,b18a7499,a153a5ae,acf8be05,8496dd23,da8e6c19,215628fb,c0567ed0,fef22b8a,3b52f490,83004436,b65cd69,c94189f4,1a93c0d5,1fc13cb4,379dff58) +,S(1d9f69b1,a4a47432,e386f525,234aa30,79e947cf,cf203297,4e0fc05b,638e213b,d898ec17,949c0761,b38500c3,a2b1da24,5438d5b3,d3f6f720,41f15d6e,e4d4ccbb) +#endif +#if WINDOW_G > 6 +,S(128c913,4d9dcb78,12fc4361,5c67ad0,55213354,dc8008b1,aeb5a9dc,fb629efd,fee3e54a,dd152610,d9725936,99d662,c160c8e4,ec6f76e4,5ff41818,be67c96) +,S(21ec012f,5a95b94d,244b8d51,9756075c,301f2854,8e2c51fc,49c0e3d9,d1a9685,2def2105,77af497f,4c7fef71,6949f28e,7418eda6,fd5fc162,d128de19,3cde08ae) +,S(688f5202,fb9d8bc0,9e480e89,4c7cfc74,761c3be7,7dafb11c,58422836,3e331cc5,96ba7d59,63b541a7,2ec7cabd,92403434,1a393eaf,89eebd94,62d9c218,c7302cd3) +,S(fb5c9eea,1cb9a8f5,b3314c30,a50d35,744d0ef,e8bbf68,2e4d3ab4,f7f02baf,29fb8844,e18fc551,fb28bd26,95c5e95c,6868e0cc,7e526af0,91157e9d,fb630418) +,S(f1479fe2,2eedae3f,2f5f6a5d,84a9de1d,593168ec,7b52380d,e0b3625c,cac03421,1a642d5d,2fd88b82,13b50d1a,3fbd3419,c0b4630c,48352131,cb856b2e,22764606) +,S(2273edc5,e8199774,93c5b0e0,9fe0effa,f60f7b,2898565a,69f5c7b2,bf1a7950,b3aea238,8fd978d9,29f1a1df,98495358,b64691fc,4f50b530,906ae39e,fe7bda12) +,S(99f8480c,30504378,b47d10b3,2b39da2f,496d59f4,b1462856,56f05ad7,9bef5214,e001d55d,8e224286,8d8bd397,cb5aa99e,d930e437,e4e62151,71da7ae6,6264b2cd) +,S(382257f,e4751280,d74fdfc6,993c8642,9c000d5,87f57635,bc9656ba,996a6f1f,c2dc733d,fe52cb06,265a4f1d,a6b5f1f9,30dbfa39,e3659973,1c672aad,8b51d474) +,S(23a13632,9125386b,e45f4e1b,2acc847a,62e5eaf9,f6d5f452,6e145e7f,ecefb24b,9129777e,643ba22,2bf817a1,af7155f1,413cc370,3734ba6f,49f15f55,996854c0) +,S(6659ea60,58a664de,a35791a1,8c5cded4,8cf5593d,c440b9d4,8a30ac35,79149f0b,2adcc705,a85d836f,b347b69e,742fc6c3,5300d1d8,e534f1ff,c820c6d6,b2f2199d) +,S(52dc3bc6,e1acd3b4,7ece6f6c,89fd2a3e,2899b487,41421033,37a67dd,1ba939fc,5daeb346,32ad107f,bd83d9da,15a3c4ff,1e8f6ba3,ee5193e2,709e89c3,43d05746) +,S(524b2a97,93cd5745,bd9189ba,9c947bc1,693fbceb,75f074f6,17376b10,d5573551,9e8099d6,cb23fb1a,9deb92cc,3e8a2fb5,a6865ac6,3dececa0,2d146e1b,bcc80b71) +,S(732181a8,e2bc5953,923e6c3d,d960e9b7,525b7b95,e5906997,6fe79156,1782756e,2516c6b3,5592eb0a,42ba193c,bae98ab,e3c42d96,148f1d84,edac621a,722e4823) +,S(b8e8942d,926e38fd,f338496a,c2ef6fca,49a7ae3d,f76eb15d,8d570111,e502664b,7990d56e,7dea588e,4d670ba2,2031e6c7,97248641,69e51d77,f792f5ed,befaf8eb) +,S(144e88f6,3e73abff,72cac11e,7ddccf79,19e744e6,278941ae,18d1b797,e098e4e5,63cdbf3,5df3c655,c58197f,ea54633d,158705cf,7dc2eb3b,4e09f83c,3021837c) +,S(9436e3dc,489ecd8e,2d16a739,c9c73e3d,60e5bc93,68157039,75b8efbd,5c3a9081,1460531f,50cb6ebf,d1aa7806,ea84e7f7,8e8d76b2,b3a66d5e,3a0bf60,39a7e59c) +#endif +#if WINDOW_G > 7 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+,S(b65423af,618b242b,71e258e8,c22f975b,621a8900,9e0a3f12,f9f8314d,7fc6ca54,e3c39b1c,e4159306,e730c2ad,4ecec430,720355a2,815b63a9,720ef623,b91e4230) +,S(d6db49c6,4e68f6b0,59cb5a00,3c826a59,bea1e9fe,7622a2e,6eca605e,fe9a7858,cff0a39d,83e246f1,efad5dad,72c5df0d,62e9cf8f,4da81a5a,68586187,3dfd758f) +,S(ff2f739,8e5aaae1,a589a82f,e8e36315,34ff1081,cb083933,d08473b4,bd16f03,1559e2e8,49dc5aeb,50f3de13,1478fa99,e110627,aa0c4c5d,43ab03ca,dde04cdf) +,S(a7c9398c,5938a3ca,e32d2947,d8e3a58,e42a669f,5cd9b219,d8acf6f5,2cef9bf5,43e2a5a3,dae4bd5e,64a30861,7056fce6,cf86d0b7,41c3b46e,3a3ed90e,98d2d51c) +,S(faa9724a,357b6806,7be30aa6,4fb85879,1969191e,346d5d73,8a85b27c,c6608d72,ea1f8a66,8f4881fc,4ecfc556,f0ca4e12,b93ee6ca,54a0fce,b2fe51ca,174d9713) +,S(28301cf8,328171c0,74cd585f,6e5870ac,815de8d0,9c9f15c5,5540de9a,b29a86df,31910e6f,15585710,74e87f41,e5cc9c73,4ddd15bd,4436ec8f,59806afe,7901c2e4) +,S(fbde2380,ae0cccc4,e044ca59,92be8e11,5fc782eb,c1d49bc2,cbdfd1f5,d7908a09,c1a1d67c,74777fbb,68919bf4,11de555a,6485436f,7e34062b,480b7516,8a03dba3) +,S(59d8ba7b,6c71ba1d,191d4cce,662483cb,9784ede7,d1908e81,815d0a48,4b84bf7d,8a32e968,1ecf963b,3c23a9d2,f382490b,1f229b27,a663f4a6,9819c33b,f9f6149f) +,S(6c3a61d7,1c999ae0,604511ad,23f620ad,dfc7891b,925eeed1,6a5ca37f,b41b47e4,f7115905,c696c2b3,e2b82a30,9728923e,b8eba53c,363f1456,73676b59,9b50b9c0) +,S(8e53027f,8e137bfa,73eb5167,35382ba,ab3468f4,d4227b19,a45c51c2,ef3d8339,2b5ea7b9,542a83ab,a1c402ba,be13437b,c621067,96e83b7a,2cdedc52,2bcff513) +,S(113aa35e,6a5f794b,a56b04a3,d639b1e1,64a790b5,8ff310c,fbeab588,f93be16a,227c17e7,d95583e7,fdcc3ab7,b24182b5,1bb11e91,9f28fd7b,3a2e4a40,4f333962) +,S(16c4c83f,5a06b2de,9d3f39e7,1f0a9de7,af6e8fc7,b0fecaf3,2c82f1aa,fe9a5343,b4cbf71e,c3ad4635,87f8e355,cffe1ea,a19f1dc6,d233d617,776a69a9,ab8dec03) +,S(4d97594c,613de84a,e685199a,ac639a56,e5c15a0e,c00282bd,197cc2ea,90f8fbb0,b9f39a44,24cbb1e2,f77afa90,ec7266ee,64ea987e,80a32b34,483c1f2e,b0c5844a) +,S(b679693a,b3fecff0,819e0598,65406521,1f9aee9c,1ea44417,eba86ebe,32414ac3,7bfe1ba0,ae17291d,71aac3f3,66e5a927,56b53312,a6818d1a,78b7d9ef,a5d01b2f) +,S(a97c2730,a78cf5b7,538b518a,87d8fc55,f95a367d,4e021d23,79f163eb,98b6eb9a,aed1e51c,3ce7e35e,ff69e7d9,3fd3a968,59f0f23a,7bbab9d8,3b60cabd,cebd34f) +,S(7dd4e84f,6547d66b,5e0b204c,ed1d0258,4fe92ed8,6b504ae4,eb1b3d66,d43b8ca4,7956148f,de975510,5e3b5126,f82e77b,89a77b68,ffc9364c,bfb596e8,187ea99b) +,S(5e856d1d,25acc306,e8c1a2b7,a9ccea1,beb3008d,c224b38f,e2f31376,65d07c3f,7dccf6b1,55c12be2,f3da02c9,12fdb666,816558b1,11a2a545,9d88aa28,9d855e6c) +,S(c85ee868,7f507429,e5c26af6,7ef1fe45,e782661c,1fa03aa3,ee9dd9c9,302e5dd6,732de6ad,d071a0b0,b77e47bc,14e176d4,c85b39d0,ac5b4ea,55f0d367,dba5ab5d) +,S(a97ba3a5,cc2d5148,3f65c65b,483b3e4f,3c68e46b,87bcfea1,42aeed8,4c42e42b,f4eb1271,3024d1,b7612c3b,7dc3dff8,ca336f23,5db7daf9,3ca6f7d8,1bdb4a21) +,S(3c0396cf,6ff0150c,5b6bd528,4a05d0a5,3b735c85,125bd49c,f62db5b6,4eaf54a7,6ec02c02,f8d9a61e,6bb38d64,daaf3c7d,5324462e,37e2df8d,4ad12bfa,37fd2cb2) +,S(e36fcebc,e406d2a4,ad42f7dd,cc00e9f3,cf385eeb,58cee004,5aab8174,82d84f94,7c98182f,6edd358e,76d66de0,b45ae9f6,5eb75092,1a25194c,1911bd9f,7e6a1a6b) +,S(171ea2ec,b9641746,7d7edcf,ecd6d85,8577322e,6ebac130,5ab57f33,62eb4e37,9f219970,753a7b9c,e4f0c6ce,5745596a,aca8df7b,a73660c9,10add5a9,d4c533d6) +,S(a81d720a,bf8047e8,ef67bf2,71a13f47,636a5f9e,ec425649,1cbdad65,39652f9e,92b37c88,275c022b,635df6b,9246edf5,5dbd8284,eaa4cd7e,3d3ce6d1,c0ca3794) +,S(fa3b6973,4bd9939c,4b6ecd3b,f0a06327,2dc11345,1bddd717,f17b745f,bc3f99b3,f38a4e1a,bcb35097,7acc8f2e,d7f73f75,d406e7f2,22fdeea,2c12d8b9,e5d2dfa3) +,S(c117681e,b55bff67,feda80a1,ae88b4be,c806860d,91916619,288a7ce0,b31aef86,d94ae124,dca678bc,b69c9421,f295405f,d6dc1fac,de96a2b4,58ba5fd2,72faa032) +,S(5ccc0619,92744a57,683de5e3,7b956fa1,fd7287d,b4516fc9,f8635be3,a0db42a9,af1f73ea,4d2168e1,7550ffc,dcbba288,8397931b,e457ce6f,3f8082f8,cfc5f03) +,S(858b019c,8a93524f,6c86738d,cb10b534,d8caaf86,5c0ce75c,fc9b83b0,7c661a0a,7c59d30,1ffc8ce1,b0767ed7,91f84bc5,60bb8ca,ed3464ba,698a53c,160ec570) +,S(e1e217b8,69da0c77,599dcc38,40fa1d8c,a8d08b1a,4ac9a882,da1476cc,cc76fa56,83f0ef77,905f0801,4bd86e17,63b8c2cf,ab2018a8,9586620a,b49a15,9fc314ca) +,S(15a1ae40,b4fc51dc,554b75d4,db0c2bfd,62dfbbfc,dede18e1,4edbb689,91525cff,4f0453b7,e4e0e99d,9663e5c6,bb018007,b52c8e14,d78a28d,c4a888e4,8c4326c2) +,S(1b9a142f,fc4d03ea,4b079f2d,b05fad98,8ddb2d32,b359967f,c173801f,63320825,59bda7ed,5b691c20,4fc8f8ac,f53be298,ae628954,a8134d0f,dd097e67,be9ff9b6) +#endif +}; +#undef S diff --git a/src/secp256k1/src/precomputed_ecmult.h b/src/secp256k1/src/precomputed_ecmult.h new file mode 100644 index 00000000..17df1029 --- /dev/null +++ b/src/secp256k1/src/precomputed_ecmult.h @@ -0,0 +1,38 @@ +/***************************************************************************************************** + * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *****************************************************************************************************/ + +#ifndef SECP256K1_PRECOMPUTED_ECMULT_H +#define SECP256K1_PRECOMPUTED_ECMULT_H + +#ifdef __cplusplus +extern "C" { +#endif + +#include "ecmult.h" +#include "group.h" +#if defined(EXHAUSTIVE_TEST_ORDER) +# if EXHAUSTIVE_TEST_ORDER == 7 +# define WINDOW_G 3 +# elif EXHAUSTIVE_TEST_ORDER == 13 +# define WINDOW_G 4 +# elif EXHAUSTIVE_TEST_ORDER == 199 +# define WINDOW_G 8 +# else +# error No known generator for the specified exhaustive test group order. +# endif +static secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; +static secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; +#else /* !defined(EXHAUSTIVE_TEST_ORDER) */ +# define WINDOW_G ECMULT_WINDOW_SIZE +extern const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; +extern const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; +#endif /* defined(EXHAUSTIVE_TEST_ORDER) */ + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_PRECOMPUTED_ECMULT_H */ diff --git a/src/secp256k1/src/precomputed_ecmult_gen.c b/src/secp256k1/src/precomputed_ecmult_gen.c new file mode 100644 index 00000000..248fb077 --- /dev/null +++ b/src/secp256k1/src/precomputed_ecmult_gen.c @@ -0,0 +1,1779 @@ +/* This file was automatically generated by precompute_ecmult_gen. */ +/* See ecmult_gen_impl.h for details about the contents of this file. */ +#include "group.h" +#include "ecmult_gen.h" +#include "precomputed_ecmult_gen.h" +#ifdef EXHAUSTIVE_TEST_ORDER +# error Cannot compile precomputed_ecmult_gen.c in exhaustive test mode +#endif /* EXHAUSTIVE_TEST_ORDER */ +#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u) +const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS] = { +#if 0 +#elif (COMB_BLOCKS == 2) && (COMB_TEETH == 5) && (COMB_SPACING == 26) +{S(7081b567,8cb87d01,99c9c76e,d1e0a5e0,1d784be9,27f6b135,161e0fd0,3f39b473,ad5222ac,f062cb39,21b234a7,15b626ae,f780b307,9b5122d1,53210f42,d9369242), +S(228af17e,df90d1cc,a40173e9,478fa445,9780dacd,c3f15b90,fda5d00e,1faa1b51,8ff47c4d,a4ba636a,f656da9,12a81f79,6252496d,1e519886,b2c2b073,25be2b4a), +S(b515ebe0,f48fb34e,9e01824c,d90553af,db116579,96667847,5ebaa700,242fd722,4cf08191,510fbf0,51f9e19a,198f11f6,ea31268c,2a6d384c,60557250,f0553c50), +S(c37581f1,35446ff3,e80cde04,ec987f08,5af3af9f,71d87494,99b03ba,dcb8f78c,9e46324a,8d8754fe,fbda7c34,2446cf72,b7472708,25cfb92f,a22a4e73,4f1e9bc7), +S(768392e3,b2ccbbc,21792f2d,6f43c63d,efcc249,bcd549cb,96abd8ef,4ae59e90,5d061a40,ac3f93d1,82f0f7a9,914fff5d,90bbacb9,1965882c,591e89bf,c49da994), +S(a9db5de9,2d96c715,8ce5ee00,3d186cf1,976f6a76,f1be0714,726594fb,6c1ba564,743df2a8,ee73fb4a,47b3d0f,2f2b8cab,5af5227,f232946a,82676e4e,8bb70c8b), +S(58921d8d,3712f640,657e762a,737ccd0a,cece1459,a2ba8323,20b43903,d4953f93,78c26959,7e422c02,c01fcbef,484a9d44,9f635c82,849bc2a3,2a9bf6ef,3e6f1e7e), +S(bae41760,ade541bb,60028015,f6906b78,aa41515a,d995dc40,afa091da,77ae8b9a,716ff74d,ad6dc24c,77ebe31f,abe19792,41d18b0f,43ff7598,c6ea04c6,6899219f), +S(e836ff6c,6f9e02e2,4e6f6bcc,2f2460b4,9de88730,6d69241f,b22fa574,7e100f80,77c41df1,4d87b6d3,de74deca,ad426635,f85daca0,ab966a4,5a26a972,32105c5), +S(c7f17d19,fbbf28e2,543fceb2,4268ff6f,1b85e189,79b09991,7457fca0,9ba1b5a4,23a6d4aa,83ee15bf,f1655575,3e4162c5,8acedadb,4c4abfc2,54b7018,f477514b), +S(79c337ad,8835046e,572eea35,df76276b,84e99172,7bbc68a6,8c0b743,28619a,af6cf2b3,9c6b51c9,f1f92e42,6598dcbe,39da6196,2abae0da,d5fc8d0a,aa16a875), +S(1e77739b,12d20887,2bfe200b,d202972a,544804f5,2b0969c5,c22fbe1c,b8b23837,880c7490,c0455322,a0f1e67d,34b3fd1e,33c1e7da,83b9b047,5aef7bc1,332ccee5), +S(b1d314c1,74d493f6,c36a893a,830d90b,f1e86d0c,6deceee0,edb77ff4,31e9607f,8a4ba010,ec3e47cb,29d8f056,e056eb73,3b6b35f6,4c742d06,9ab832f4,68bcd3be), +S(2498aea6,471f748a,f14e50e6,bc17e0a3,ee09514d,fccbd174,f8a21d02,dd0fae48,55a3949f,2e4188e2,b3d344ce,6f0276b5,99b121bc,358e8fe6,bc4f03f5,a8219d08), 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+S(3c49e2ef,1d2d3464,81e05fa0,33366609,1615ebcf,535f68,be257f35,7bd91592,57901e0a,c8af3a31,aa404987,72c903fd,175c9b00,5c7458ee,ed667f11,57754132), +S(6c45ff2,c0c30320,83c343e6,dc80b4f7,bb64502a,52f412ff,ada521d4,a544a9f0,e9936037,f1e641eb,1cd6f801,a25271d3,cffe67d,c9bd7162,babf9855,9628a9a8), +S(66df5d95,acdf4260,ee0e465c,e3916d79,395df522,aa086aeb,6c283bb7,18296d46,cb1f3deb,8aea0337,625f46dd,903416d1,5647be91,1633c4c0,cf0e629a,413476fc), +S(428bbba5,ef351762,9eee4059,a3339213,40c7fee2,5ccb051c,88d75e53,ba618858,ef18809c,28227ccc,115876df,b3f378cd,374c0670,2c658501,7990e767,922c3999), +S(e8993820,d782657,ed8badc2,d515e360,df336730,860ef49e,65ca58dd,1a385815,feb41189,16c7e8f6,53c7f5a6,5fd7b6be,7a029814,149c4645,847073be,770959de), +S(2b77e42a,63502244,d6c7d1be,54b7857,9e2742d2,7143d689,fa3f70a3,5986ccf1,721e9da8,bee88ad4,2155dc9a,28be505,86648378,1d6af5b1,382cd47d,771e6428), +S(acffce3a,ed6beea3,2ad71633,21e1ca53,6f69ce76,fb5cd394,9d9dcc14,bbcee96,5384c97d,eac946c0,afc85b54,f3a56b79,fe263bff,63e1894c,6d52ef1b,9b456602), +S(e13d8d4b,25bece8d,90a008e4,c004824e,223b06b,7cf65ebd,1215e910,2e67b639,3e92b1f,14cbee57,9640b377,6ed5938f,9aee0e11,b139a678,3f207cf4,6dd7e20b), +S(d8f356d9,d2498eaa,b3fa12a,cb64562b,dff3e270,c7809a31,25a9ae65,9cb1f3c5,a5403cda,2d499a7c,7402b57c,c9f99e3,64f5085a,91fd8cfd,8a67c7a8,dbce04fb), +S(350062b5,22fb5d0a,8c79a5db,29e92216,79b9fbc6,3e1f95ca,e7d087f3,fedffc49,74cacf57,5e79c85b,d7e77a40,796e8750,a3ca57f2,a47cce8f,3d2de02d,b014df0b), +S(c159e630,9ab23135,58ebfb6b,22edaf93,eac8e16,77cd9f3b,1cd9492,20bf8e54,99244263,53f32608,831c6d74,da51d61,c344defe,f4c1e401,6a3db44b,4c57f4ae), +S(9e568b70,36a2daa2,fe7a3a52,49c56eb8,3fe4afa2,decebd60,c6c3245f,17bc6a13,b6643644,274eab9f,5e83c598,14978681,17c5a078,765156ae,3cb65fd3,830e06ae), +S(9bee7471,6b6c1ff5,62c1bc36,57a65de3,99a91d72,115703f4,4c3819a1,87828478,bb23a3da,ed34028a,7d39a7ed,fe2e23b,73e085a2,d6c2e51a,ef2a2076,a7c902ad), +S(c430c044,91228a7a,ea835698,ecf0f552,9aeef469,a36305cb,52902ccd,1c897473,40d0ee56,61cca82,80d11da,bffe97c4,f10c93aa,5e07224c,154b666e,bcd58c74), +S(2be073f6,b294a01b,eda0b0db,6832e4bc,23ef3889,7a859853,5ee726ef,ae0f15b1,6153f846,349c2a98,26008065,8be2a7d8,311a5e70,cc310ff8,7935a901,8d575813), +S(2934de46,a6d921f8,720567e6,b46e6362,36a7ed53,483b13ed,20958452,3225accd,5979698,26927cd7,abfe4c57,c53fc72a,48b71679,174c749d,aecdb057,e6a2d961), +S(4e9991b,92fa8c4e,4e8efe45,66966073,319e80d3,a54d4b7a,b61cfcc4,7ddaa5d5,9d03ea22,21d4d80e,261952e2,73f6a8cf,c31f6091,e5aa0a8f,2281ffbf,1345df9e), +S(ff3d6136,ffac5b0c,bfc6c5c0,c30dc01a,7ea3d56c,20bd3103,b178e3d3,ae180068,eccdc641,7b1bfff1,bf2fc8d3,2269523e,ab89890d,bffe0a19,8f594490,e7739bb8)} +#else +# error Configuration mismatch, invalid COMB_* parameters. Try deleting precomputed_ecmult_gen.c before the build. +#endif +}; +#undef S diff --git a/src/secp256k1/src/precomputed_ecmult_gen.h b/src/secp256k1/src/precomputed_ecmult_gen.h new file mode 100644 index 00000000..283738a5 --- /dev/null +++ b/src/secp256k1/src/precomputed_ecmult_gen.h @@ -0,0 +1,26 @@ +/********************************************************************************* + * Copyright (c) 2013, 2014, 2015, 2021 Thomas Daede, Cory Fields, Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *********************************************************************************/ + +#ifndef SECP256K1_PRECOMPUTED_ECMULT_GEN_H +#define SECP256K1_PRECOMPUTED_ECMULT_GEN_H + +#ifdef __cplusplus +extern "C" { +#endif + +#include "group.h" +#include "ecmult_gen.h" +#ifdef EXHAUSTIVE_TEST_ORDER +static secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS]; +#else +extern const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS]; +#endif /* defined(EXHAUSTIVE_TEST_ORDER) */ + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_PRECOMPUTED_ECMULT_GEN_H */ diff --git a/src/secp256k1/src/scalar.h b/src/secp256k1/src/scalar.h index 1ee50e1f..70f49b1c 100644 --- a/src/secp256k1/src/scalar.h +++ b/src/secp256k1/src/scalar.h @@ -1,36 +1,32 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_H #define SECP256K1_SCALAR_H -#include "num.h" - -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif +#include "util.h" #if defined(EXHAUSTIVE_TEST_ORDER) #include "scalar_low.h" -#elif defined(USE_SCALAR_4X64) +#elif defined(SECP256K1_WIDEMUL_INT128) #include "scalar_4x64.h" -#elif defined(USE_SCALAR_8X32) +#elif defined(SECP256K1_WIDEMUL_INT64) #include "scalar_8x32.h" #else -#error "Please select scalar implementation" +#error "Please select wide multiplication implementation" #endif /** Clear a scalar to prevent the leak of sensitive data. */ static void secp256k1_scalar_clear(secp256k1_scalar *r); -/** Access bits from a scalar. All requested bits must belong to the same 32-bit limb. */ -static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count); +/** Access bits (1 < count <= 32) from a scalar. All requested bits must belong to the same 32-bit limb. */ +static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count); -/** Access bits from a scalar. Not constant time. */ -static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count); +/** Access bits (1 < count <= 32) from a scalar. offset + count must be < 256. Not constant time in offset and count. */ +static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count); /** Set a scalar from a big endian byte array. The scalar will be reduced modulo group order `n`. * In: bin: pointer to a 32-byte array. @@ -39,6 +35,10 @@ static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, uns */ static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *bin, int *overflow); +/** Set a scalar from a big endian byte array and returns 1 if it is a valid + * seckey and 0 otherwise. */ +static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned char *bin); + /** Set a scalar to an unsigned integer. */ static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v); @@ -54,13 +54,6 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int /** Multiply two scalars (modulo the group order). */ static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b); -/** Shift a scalar right by some amount strictly between 0 and 16, returning - * the low bits that were shifted off */ -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n); - -/** Compute the square of a scalar (modulo the group order). */ -static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a); - /** Compute the inverse of a scalar (modulo the group order). */ static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *a); @@ -70,6 +63,9 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_sc /** Compute the complement of a scalar (modulo the group order). */ static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a); +/** Multiply a scalar with the multiplicative inverse of 2. */ +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a); + /** Check whether a scalar equals zero. */ static int secp256k1_scalar_is_zero(const secp256k1_scalar *a); @@ -86,25 +82,24 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a); * Returns -1 if the number was negated, 1 otherwise */ static int secp256k1_scalar_cond_negate(secp256k1_scalar *a, int flag); -#ifndef USE_NUM_NONE -/** Convert a scalar to a number. */ -static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a); - -/** Get the order of the group as a number. */ -static void secp256k1_scalar_order_get_num(secp256k1_num *r); -#endif - /** Compare two scalars. */ static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b); -#ifdef USE_ENDOMORPHISM -/** Find r1 and r2 such that r1+r2*2^128 = a. */ -static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a); -/** Find r1 and r2 such that r1+r2*lambda = a, and r1 and r2 are maximum 128 bits long (see secp256k1_gej_mul_lambda). */ -static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a); -#endif +/** Find r1 and r2 such that r1+r2*2^128 = k. */ +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k); +/** Find r1 and r2 such that r1+r2*lambda = k, where r1 and r2 or their + * negations are maximum 128 bits long (see secp256k1_ge_mul_lambda). It is + * required that r1, r2, and k all point to different objects. */ +static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k); /** Multiply a and b (without taking the modulus!), divide by 2**shift, and round to the nearest integer. Shift must be at least 256. */ static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift); +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ +static void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag); + +/** Check invariants on a scalar (no-op unless VERIFY is enabled). */ +static void secp256k1_scalar_verify(const secp256k1_scalar *r); +#define SECP256K1_SCALAR_VERIFY(r) secp256k1_scalar_verify(r) + #endif /* SECP256K1_SCALAR_H */ diff --git a/src/secp256k1/src/scalar_4x64.h b/src/secp256k1/src/scalar_4x64.h index 19c7495d..70096429 100644 --- a/src/secp256k1/src/scalar_4x64.h +++ b/src/secp256k1/src/scalar_4x64.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_REPR_H #define SECP256K1_SCALAR_REPR_H diff --git a/src/secp256k1/src/scalar_4x64_impl.h b/src/secp256k1/src/scalar_4x64_impl.h index d378335d..807b9b70 100644 --- a/src/secp256k1/src/scalar_4x64_impl.h +++ b/src/secp256k1/src/scalar_4x64_impl.h @@ -1,12 +1,17 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_REPR_IMPL_H #define SECP256K1_SCALAR_REPR_IMPL_H +#include "checkmem.h" +#include "int128.h" +#include "modinv64_impl.h" +#include "util.h" + /* Limbs of the secp256k1 order. */ #define SECP256K1_N_0 ((uint64_t)0xBFD25E8CD0364141ULL) #define SECP256K1_N_1 ((uint64_t)0xBAAEDCE6AF48A03BULL) @@ -24,33 +29,33 @@ #define SECP256K1_N_H_2 ((uint64_t)0xFFFFFFFFFFFFFFFFULL) #define SECP256K1_N_H_3 ((uint64_t)0x7FFFFFFFFFFFFFFFULL) -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { - r->d[0] = 0; - r->d[1] = 0; - r->d[2] = 0; - r->d[3] = 0; -} - SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { r->d[0] = v; r->d[1] = 0; r->d[2] = 0; r->d[3] = 0; + + SECP256K1_SCALAR_VERIFY(r); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK((offset + count - 1) >> 6 == offset >> 6); - return (a->d[offset >> 6] >> (offset & 0x3F)) & ((((uint64_t)1) << count) - 1); + + return (a->d[offset >> 6] >> (offset & 0x3F)) & (0xFFFFFFFF >> (32 - count)); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - VERIFY_CHECK(count < 32); +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK(offset + count <= 256); + if ((offset + count - 1) >> 6 == offset >> 6) { - return secp256k1_scalar_get_bits(a, offset, count); + return secp256k1_scalar_get_bits_limb32(a, offset, count); } else { VERIFY_CHECK((offset >> 6) + 1 < 4); - return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & ((((uint64_t)1) << count) - 1); + return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & (0xFFFFFFFF >> (32 - count)); } } @@ -67,95 +72,177 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal } SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigned int overflow) { - uint128_t t; + secp256k1_uint128 t; VERIFY_CHECK(overflow <= 1); - t = (uint128_t)r->d[0] + overflow * SECP256K1_N_C_0; - r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[1] + overflow * SECP256K1_N_C_1; - r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[2] + overflow * SECP256K1_N_C_2; - r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint64_t)r->d[3]; - r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; + + secp256k1_u128_from_u64(&t, r->d[0]); + secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_0); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[1]); + secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_1); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[2]); + secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_2); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[3]); + r->d[3] = secp256k1_u128_to_u64(&t); + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; - uint128_t t = (uint128_t)a->d[0] + b->d[0]; - r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)a->d[1] + b->d[1]; - r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)a->d[2] + b->d[2]; - r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)a->d[3] + b->d[3]; - r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - overflow = t + secp256k1_scalar_check_overflow(r); + secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + + secp256k1_u128_from_u64(&t, a->d[0]); + secp256k1_u128_accum_u64(&t, b->d[0]); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, a->d[1]); + secp256k1_u128_accum_u64(&t, b->d[1]); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, a->d[2]); + secp256k1_u128_accum_u64(&t, b->d[2]); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, a->d[3]); + secp256k1_u128_accum_u64(&t, b->d[3]); + r->d[3] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + overflow = secp256k1_u128_to_u64(&t) + secp256k1_scalar_check_overflow(r); VERIFY_CHECK(overflow == 0 || overflow == 1); secp256k1_scalar_reduce(r, overflow); + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { - uint128_t t; + secp256k1_uint128 t; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(bit < 256); - bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ - t = (uint128_t)r->d[0] + (((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); - r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[1] + (((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F)); - r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[2] + (((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F)); - r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[3] + (((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F)); - r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; -#ifdef VERIFY - VERIFY_CHECK((t >> 64) == 0); - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif + + bit += ((uint32_t) vflag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ + secp256k1_u128_from_u64(&t, r->d[0]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[1]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F)); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[2]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F)); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[3]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F)); + r->d[3] = secp256k1_u128_to_u64(&t); + + SECP256K1_SCALAR_VERIFY(r); + VERIFY_CHECK(secp256k1_u128_hi_u64(&t) == 0); } static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { int over; - r->d[0] = (uint64_t)b32[31] | (uint64_t)b32[30] << 8 | (uint64_t)b32[29] << 16 | (uint64_t)b32[28] << 24 | (uint64_t)b32[27] << 32 | (uint64_t)b32[26] << 40 | (uint64_t)b32[25] << 48 | (uint64_t)b32[24] << 56; - r->d[1] = (uint64_t)b32[23] | (uint64_t)b32[22] << 8 | (uint64_t)b32[21] << 16 | (uint64_t)b32[20] << 24 | (uint64_t)b32[19] << 32 | (uint64_t)b32[18] << 40 | (uint64_t)b32[17] << 48 | (uint64_t)b32[16] << 56; - r->d[2] = (uint64_t)b32[15] | (uint64_t)b32[14] << 8 | (uint64_t)b32[13] << 16 | (uint64_t)b32[12] << 24 | (uint64_t)b32[11] << 32 | (uint64_t)b32[10] << 40 | (uint64_t)b32[9] << 48 | (uint64_t)b32[8] << 56; - r->d[3] = (uint64_t)b32[7] | (uint64_t)b32[6] << 8 | (uint64_t)b32[5] << 16 | (uint64_t)b32[4] << 24 | (uint64_t)b32[3] << 32 | (uint64_t)b32[2] << 40 | (uint64_t)b32[1] << 48 | (uint64_t)b32[0] << 56; + r->d[0] = secp256k1_read_be64(&b32[24]); + r->d[1] = secp256k1_read_be64(&b32[16]); + r->d[2] = secp256k1_read_be64(&b32[8]); + r->d[3] = secp256k1_read_be64(&b32[0]); over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r)); if (overflow) { *overflow = over; } + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { - bin[0] = a->d[3] >> 56; bin[1] = a->d[3] >> 48; bin[2] = a->d[3] >> 40; bin[3] = a->d[3] >> 32; bin[4] = a->d[3] >> 24; bin[5] = a->d[3] >> 16; bin[6] = a->d[3] >> 8; bin[7] = a->d[3]; - bin[8] = a->d[2] >> 56; bin[9] = a->d[2] >> 48; bin[10] = a->d[2] >> 40; bin[11] = a->d[2] >> 32; bin[12] = a->d[2] >> 24; bin[13] = a->d[2] >> 16; bin[14] = a->d[2] >> 8; bin[15] = a->d[2]; - bin[16] = a->d[1] >> 56; bin[17] = a->d[1] >> 48; bin[18] = a->d[1] >> 40; bin[19] = a->d[1] >> 32; bin[20] = a->d[1] >> 24; bin[21] = a->d[1] >> 16; bin[22] = a->d[1] >> 8; bin[23] = a->d[1]; - bin[24] = a->d[0] >> 56; bin[25] = a->d[0] >> 48; bin[26] = a->d[0] >> 40; bin[27] = a->d[0] >> 32; bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_write_be64(&bin[0], a->d[3]); + secp256k1_write_be64(&bin[8], a->d[2]); + secp256k1_write_be64(&bin[16], a->d[1]); + secp256k1_write_be64(&bin[24], a->d[0]); } SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return (a->d[0] | a->d[1] | a->d[2] | a->d[3]) == 0; } static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint64_t nonzero = 0xFFFFFFFFFFFFFFFFULL * (secp256k1_scalar_is_zero(a) == 0); - uint128_t t = (uint128_t)(~a->d[0]) + SECP256K1_N_0 + 1; - r->d[0] = t & nonzero; t >>= 64; - t += (uint128_t)(~a->d[1]) + SECP256K1_N_1; - r->d[1] = t & nonzero; t >>= 64; - t += (uint128_t)(~a->d[2]) + SECP256K1_N_2; - r->d[2] = t & nonzero; t >>= 64; - t += (uint128_t)(~a->d[3]) + SECP256K1_N_3; - r->d[3] = t & nonzero; + secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_u128_from_u64(&t, ~a->d[0]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_0 + 1); + r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, ~a->d[1]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_1); + r->d[1] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, ~a->d[2]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_2); + r->d[2] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, ~a->d[3]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_3); + r->d[3] = secp256k1_u128_to_u64(&t) & nonzero; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) { + /* Writing `/` for field division and `//` for integer division, we compute + * + * a/2 = (a - (a&1))/2 + (a&1)/2 + * = (a >> 1) + (a&1 ? 1/2 : 0) + * = (a >> 1) + (a&1 ? n//2+1 : 0), + * + * where n is the group order and in the last equality we have used 1/2 = n//2+1 (mod n). + * For n//2, we have the constants SECP256K1_N_H_0, ... + * + * This sum does not overflow. The most extreme case is a = -2, the largest odd scalar. Here: + * - the left summand is: a >> 1 = (a - a&1)/2 = (n-2-1)//2 = (n-3)//2 + * - the right summand is: a&1 ? n//2+1 : 0 = n//2+1 = (n-1)//2 + 2//2 = (n+1)//2 + * Together they sum to (n-3)//2 + (n+1)//2 = (2n-2)//2 = n - 1, which is less than n. + */ + uint64_t mask = -(uint64_t)(a->d[0] & 1U); + secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_u128_from_u64(&t, (a->d[0] >> 1) | (a->d[1] << 63)); + secp256k1_u128_accum_u64(&t, (SECP256K1_N_H_0 + 1U) & mask); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, (a->d[1] >> 1) | (a->d[2] << 63)); + secp256k1_u128_accum_u64(&t, SECP256K1_N_H_1 & mask); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, (a->d[2] >> 1) | (a->d[3] << 63)); + secp256k1_u128_accum_u64(&t, SECP256K1_N_H_2 & mask); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + r->d[3] = secp256k1_u128_to_u64(&t) + (a->d[3] >> 1) + (SECP256K1_N_H_3 & mask); +#ifdef VERIFY + /* The line above only computed the bottom 64 bits of r->d[3]; redo the computation + * in full 128 bits to make sure the top 64 bits are indeed zero. */ + secp256k1_u128_accum_u64(&t, a->d[3] >> 1); + secp256k1_u128_accum_u64(&t, SECP256K1_N_H_3 & mask); + secp256k1_u128_rshift(&t, 64); + VERIFY_CHECK(secp256k1_u128_to_u64(&t) == 0); + + SECP256K1_SCALAR_VERIFY(r); +#endif } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3]) == 0; } static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { int yes = 0; int no = 0; + SECP256K1_SCALAR_VERIFY(a); + no |= (a->d[3] < SECP256K1_N_H_3); yes |= (a->d[3] > SECP256K1_N_H_3) & ~no; no |= (a->d[2] < SECP256K1_N_H_2) & ~yes; /* No need for a > check. */ @@ -168,16 +255,26 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { /* If we are flag = 0, mask = 00...00 and this is a no-op; * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ - uint64_t mask = !flag - 1; + volatile int vflag = flag; + uint64_t mask = -vflag; uint64_t nonzero = (secp256k1_scalar_is_zero(r) != 0) - 1; - uint128_t t = (uint128_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask); - r->d[0] = t & nonzero; t >>= 64; - t += (uint128_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask); - r->d[1] = t & nonzero; t >>= 64; - t += (uint128_t)(r->d[2] ^ mask) + (SECP256K1_N_2 & mask); - r->d[2] = t & nonzero; t >>= 64; - t += (uint128_t)(r->d[3] ^ mask) + (SECP256K1_N_3 & mask); - r->d[3] = t & nonzero; + secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(r); + + secp256k1_u128_from_u64(&t, r->d[0] ^ mask); + secp256k1_u128_accum_u64(&t, (SECP256K1_N_0 + 1) & mask); + r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[1] ^ mask); + secp256k1_u128_accum_u64(&t, SECP256K1_N_1 & mask); + r->d[1] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[2] ^ mask); + secp256k1_u128_accum_u64(&t, SECP256K1_N_2 & mask); + r->d[2] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[3] ^ mask); + secp256k1_u128_accum_u64(&t, SECP256K1_N_3 & mask); + r->d[3] = secp256k1_u128_to_u64(&t) & nonzero; + + SECP256K1_SCALAR_VERIFY(r); return 2 * (mask == 0) - 1; } @@ -187,14 +284,15 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { #define muladd(a,b) { \ uint64_t tl, th; \ { \ - uint128_t t = (uint128_t)a * b; \ - th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ - tl = t; \ + secp256k1_uint128 t; \ + secp256k1_u128_mul(&t, a, b); \ + th = secp256k1_u128_hi_u64(&t); /* at most 0xFFFFFFFFFFFFFFFE */ \ + tl = secp256k1_u128_to_u64(&t); \ } \ c0 += tl; /* overflow is handled on the next line */ \ - th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFFFFFFFFFF */ \ + th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \ c1 += th; /* overflow is handled on the next line */ \ - c2 += (c1 < th) ? 1 : 0; /* never overflows by contract (verified in the next line) */ \ + c2 += (c1 < th); /* never overflows by contract (verified in the next line) */ \ VERIFY_CHECK((c1 >= th) || (c2 != 0)); \ } @@ -202,51 +300,30 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { #define muladd_fast(a,b) { \ uint64_t tl, th; \ { \ - uint128_t t = (uint128_t)a * b; \ - th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ - tl = t; \ + secp256k1_uint128 t; \ + secp256k1_u128_mul(&t, a, b); \ + th = secp256k1_u128_hi_u64(&t); /* at most 0xFFFFFFFFFFFFFFFE */ \ + tl = secp256k1_u128_to_u64(&t); \ } \ c0 += tl; /* overflow is handled on the next line */ \ - th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFFFFFFFFFF */ \ + th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \ c1 += th; /* never overflows by contract (verified in the next line) */ \ VERIFY_CHECK(c1 >= th); \ } -/** Add 2*a*b to the number defined by (c0,c1,c2). c2 must never overflow. */ -#define muladd2(a,b) { \ - uint64_t tl, th, th2, tl2; \ - { \ - uint128_t t = (uint128_t)a * b; \ - th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ - tl = t; \ - } \ - th2 = th + th; /* at most 0xFFFFFFFFFFFFFFFE (in case th was 0x7FFFFFFFFFFFFFFF) */ \ - c2 += (th2 < th) ? 1 : 0; /* never overflows by contract (verified the next line) */ \ - VERIFY_CHECK((th2 >= th) || (c2 != 0)); \ - tl2 = tl + tl; /* at most 0xFFFFFFFFFFFFFFFE (in case the lowest 63 bits of tl were 0x7FFFFFFFFFFFFFFF) */ \ - th2 += (tl2 < tl) ? 1 : 0; /* at most 0xFFFFFFFFFFFFFFFF */ \ - c0 += tl2; /* overflow is handled on the next line */ \ - th2 += (c0 < tl2) ? 1 : 0; /* second overflow is handled on the next line */ \ - c2 += (c0 < tl2) & (th2 == 0); /* never overflows by contract (verified the next line) */ \ - VERIFY_CHECK((c0 >= tl2) || (th2 != 0) || (c2 != 0)); \ - c1 += th2; /* overflow is handled on the next line */ \ - c2 += (c1 < th2) ? 1 : 0; /* never overflows by contract (verified the next line) */ \ - VERIFY_CHECK((c1 >= th2) || (c2 != 0)); \ -} - /** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */ #define sumadd(a) { \ unsigned int over; \ c0 += (a); /* overflow is handled on the next line */ \ - over = (c0 < (a)) ? 1 : 0; \ + over = (c0 < (a)); \ c1 += over; /* overflow is handled on the next line */ \ - c2 += (c1 < over) ? 1 : 0; /* never overflows by contract */ \ + c2 += (c1 < over); /* never overflows by contract */ \ } /** Add a to the number defined by (c0,c1). c1 must never overflow, c2 must be zero. */ #define sumadd_fast(a) { \ c0 += (a); /* overflow is handled on the next line */ \ - c1 += (c0 < (a)) ? 1 : 0; /* never overflows by contract (verified the next line) */ \ + c1 += (c0 < (a)); /* never overflows by contract (verified the next line) */ \ VERIFY_CHECK((c1 != 0) | (c0 >= (a))); \ VERIFY_CHECK(c2 == 0); \ } @@ -375,10 +452,18 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "movq %%r10, %q5\n" /* extract m6 */ "movq %%r8, %q6\n" - : "=g"(m0), "=g"(m1), "=g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6) + : "=&g"(m0), "=&g"(m1), "=&g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6) : "S"(l), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc"); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m0, sizeof(m0)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m1, sizeof(m1)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m2, sizeof(m2)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m3, sizeof(m3)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m4, sizeof(m4)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m5, sizeof(m5)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m6, sizeof(m6)); + /* Reduce 385 bits into 258. */ __asm__ __volatile__( /* Preload */ @@ -458,6 +543,12 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) : "g"(m0), "g"(m1), "g"(m2), "g"(m3), "g"(m4), "g"(m5), "g"(m6), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "cc"); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p0, sizeof(p0)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p1, sizeof(p1)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p2, sizeof(p2)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p3, sizeof(p3)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p4, sizeof(p4)); + /* Reduce 258 bits into 256. */ __asm__ __volatile__( /* Preload */ @@ -503,9 +594,13 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) : "=g"(c) : "g"(p0), "g"(p1), "g"(p2), "g"(p3), "g"(p4), "D"(r), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "cc", "memory"); + + SECP256K1_CHECKMEM_MSAN_DEFINE(r, sizeof(*r)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&c, sizeof(c)); + #else - uint128_t c; - uint64_t c0, c1, c2; + secp256k1_uint128 c128; + uint64_t c, c0, c1, c2; uint64_t n0 = l[4], n1 = l[5], n2 = l[6], n3 = l[7]; uint64_t m0, m1, m2, m3, m4, m5; uint32_t m6; @@ -562,21 +657,25 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) /* Reduce 258 bits into 256. */ /* r[0..3] = p[0..3] + p[4] * SECP256K1_N_C. */ - c = p0 + (uint128_t)SECP256K1_N_C_0 * p4; - r->d[0] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; - c += p1 + (uint128_t)SECP256K1_N_C_1 * p4; - r->d[1] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; - c += p2 + (uint128_t)p4; - r->d[2] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; - c += p3; - r->d[3] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; + secp256k1_u128_from_u64(&c128, p0); + secp256k1_u128_accum_mul(&c128, SECP256K1_N_C_0, p4); + r->d[0] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64); + secp256k1_u128_accum_u64(&c128, p1); + secp256k1_u128_accum_mul(&c128, SECP256K1_N_C_1, p4); + r->d[1] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64); + secp256k1_u128_accum_u64(&c128, p2); + secp256k1_u128_accum_u64(&c128, p4); + r->d[2] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64); + secp256k1_u128_accum_u64(&c128, p3); + r->d[3] = secp256k1_u128_to_u64(&c128); + c = secp256k1_u128_hi_u64(&c128); #endif /* Final reduction of r. */ secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r)); } -static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, const secp256k1_scalar *b) { +static void secp256k1_scalar_mul_512(uint64_t *l8, const secp256k1_scalar *a, const secp256k1_scalar *b) { #ifdef USE_ASM_X86_64 const uint64_t *pb = b->d; __asm__ __volatile__( @@ -591,7 +690,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c /* (rax,rdx) = a0 * b0 */ "movq %%r15, %%rax\n" "mulq %%r11\n" - /* Extract l0 */ + /* Extract l8[0] */ "movq %%rax, 0(%%rsi)\n" /* (r8,r9,r10) = (rdx) */ "movq %%rdx, %%r8\n" @@ -609,7 +708,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r8\n" "adcq %%rdx, %%r9\n" "adcq $0, %%r10\n" - /* Extract l1 */ + /* Extract l8[1] */ "movq %%r8, 8(%%rsi)\n" "xorq %%r8, %%r8\n" /* (r9,r10,r8) += a0 * b2 */ @@ -630,7 +729,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r9\n" "adcq %%rdx, %%r10\n" "adcq $0, %%r8\n" - /* Extract l2 */ + /* Extract l8[2] */ "movq %%r9, 16(%%rsi)\n" "xorq %%r9, %%r9\n" /* (r10,r8,r9) += a0 * b3 */ @@ -659,7 +758,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r10\n" "adcq %%rdx, %%r8\n" "adcq $0, %%r9\n" - /* Extract l3 */ + /* Extract l8[3] */ "movq %%r10, 24(%%rsi)\n" "xorq %%r10, %%r10\n" /* (r8,r9,r10) += a1 * b3 */ @@ -680,7 +779,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r8\n" "adcq %%rdx, %%r9\n" "adcq $0, %%r10\n" - /* Extract l4 */ + /* Extract l8[4] */ "movq %%r8, 32(%%rsi)\n" "xorq %%r8, %%r8\n" /* (r9,r10,r8) += a2 * b3 */ @@ -695,188 +794,54 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r9\n" "adcq %%rdx, %%r10\n" "adcq $0, %%r8\n" - /* Extract l5 */ + /* Extract l8[5] */ "movq %%r9, 40(%%rsi)\n" /* (r10,r8) += a3 * b3 */ "movq %%r15, %%rax\n" "mulq %%r14\n" "addq %%rax, %%r10\n" "adcq %%rdx, %%r8\n" - /* Extract l6 */ + /* Extract l8[6] */ "movq %%r10, 48(%%rsi)\n" - /* Extract l7 */ + /* Extract l8[7] */ "movq %%r8, 56(%%rsi)\n" : "+d"(pb) - : "S"(l), "D"(a->d) + : "S"(l8), "D"(a->d) : "rax", "rbx", "rcx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "r15", "cc", "memory"); + + SECP256K1_CHECKMEM_MSAN_DEFINE(l8, sizeof(*l8) * 8); + #else /* 160 bit accumulator. */ uint64_t c0 = 0, c1 = 0; uint32_t c2 = 0; - /* l[0..7] = a[0..3] * b[0..3]. */ + /* l8[0..7] = a[0..3] * b[0..3]. */ muladd_fast(a->d[0], b->d[0]); - extract_fast(l[0]); + extract_fast(l8[0]); muladd(a->d[0], b->d[1]); muladd(a->d[1], b->d[0]); - extract(l[1]); + extract(l8[1]); muladd(a->d[0], b->d[2]); muladd(a->d[1], b->d[1]); muladd(a->d[2], b->d[0]); - extract(l[2]); + extract(l8[2]); muladd(a->d[0], b->d[3]); muladd(a->d[1], b->d[2]); muladd(a->d[2], b->d[1]); muladd(a->d[3], b->d[0]); - extract(l[3]); + extract(l8[3]); muladd(a->d[1], b->d[3]); muladd(a->d[2], b->d[2]); muladd(a->d[3], b->d[1]); - extract(l[4]); + extract(l8[4]); muladd(a->d[2], b->d[3]); muladd(a->d[3], b->d[2]); - extract(l[5]); + extract(l8[5]); muladd_fast(a->d[3], b->d[3]); - extract_fast(l[6]); - VERIFY_CHECK(c1 == 0); - l[7] = c0; -#endif -} - -static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar *a) { -#ifdef USE_ASM_X86_64 - __asm__ __volatile__( - /* Preload */ - "movq 0(%%rdi), %%r11\n" - "movq 8(%%rdi), %%r12\n" - "movq 16(%%rdi), %%r13\n" - "movq 24(%%rdi), %%r14\n" - /* (rax,rdx) = a0 * a0 */ - "movq %%r11, %%rax\n" - "mulq %%r11\n" - /* Extract l0 */ - "movq %%rax, 0(%%rsi)\n" - /* (r8,r9,r10) = (rdx,0) */ - "movq %%rdx, %%r8\n" - "xorq %%r9, %%r9\n" - "xorq %%r10, %%r10\n" - /* (r8,r9,r10) += 2 * a0 * a1 */ - "movq %%r11, %%rax\n" - "mulq %%r12\n" - "addq %%rax, %%r8\n" - "adcq %%rdx, %%r9\n" - "adcq $0, %%r10\n" - "addq %%rax, %%r8\n" - "adcq %%rdx, %%r9\n" - "adcq $0, %%r10\n" - /* Extract l1 */ - "movq %%r8, 8(%%rsi)\n" - "xorq %%r8, %%r8\n" - /* (r9,r10,r8) += 2 * a0 * a2 */ - "movq %%r11, %%rax\n" - "mulq %%r13\n" - "addq %%rax, %%r9\n" - "adcq %%rdx, %%r10\n" - "adcq $0, %%r8\n" - "addq %%rax, %%r9\n" - "adcq %%rdx, %%r10\n" - "adcq $0, %%r8\n" - /* (r9,r10,r8) += a1 * a1 */ - "movq %%r12, %%rax\n" - "mulq %%r12\n" - "addq %%rax, %%r9\n" - "adcq %%rdx, %%r10\n" - "adcq $0, %%r8\n" - /* Extract l2 */ - "movq %%r9, 16(%%rsi)\n" - "xorq %%r9, %%r9\n" - /* (r10,r8,r9) += 2 * a0 * a3 */ - "movq %%r11, %%rax\n" - "mulq %%r14\n" - "addq %%rax, %%r10\n" - "adcq %%rdx, %%r8\n" - "adcq $0, %%r9\n" - "addq %%rax, %%r10\n" - "adcq %%rdx, %%r8\n" - "adcq $0, %%r9\n" - /* (r10,r8,r9) += 2 * a1 * a2 */ - "movq %%r12, %%rax\n" - "mulq %%r13\n" - "addq %%rax, %%r10\n" - "adcq %%rdx, %%r8\n" - "adcq $0, %%r9\n" - "addq %%rax, %%r10\n" - "adcq %%rdx, %%r8\n" - "adcq $0, %%r9\n" - /* Extract l3 */ - "movq %%r10, 24(%%rsi)\n" - "xorq %%r10, %%r10\n" - /* (r8,r9,r10) += 2 * a1 * a3 */ - "movq %%r12, %%rax\n" - "mulq %%r14\n" - "addq %%rax, %%r8\n" - "adcq %%rdx, %%r9\n" - "adcq $0, %%r10\n" - "addq %%rax, %%r8\n" - "adcq %%rdx, %%r9\n" - "adcq $0, %%r10\n" - /* (r8,r9,r10) += a2 * a2 */ - "movq %%r13, %%rax\n" - "mulq %%r13\n" - "addq %%rax, %%r8\n" - "adcq %%rdx, %%r9\n" - "adcq $0, %%r10\n" - /* Extract l4 */ - "movq %%r8, 32(%%rsi)\n" - "xorq %%r8, %%r8\n" - /* (r9,r10,r8) += 2 * a2 * a3 */ - "movq %%r13, %%rax\n" - "mulq %%r14\n" - "addq %%rax, %%r9\n" - "adcq %%rdx, %%r10\n" - "adcq $0, %%r8\n" - "addq %%rax, %%r9\n" - "adcq %%rdx, %%r10\n" - "adcq $0, %%r8\n" - /* Extract l5 */ - "movq %%r9, 40(%%rsi)\n" - /* (r10,r8) += a3 * a3 */ - "movq %%r14, %%rax\n" - "mulq %%r14\n" - "addq %%rax, %%r10\n" - "adcq %%rdx, %%r8\n" - /* Extract l6 */ - "movq %%r10, 48(%%rsi)\n" - /* Extract l7 */ - "movq %%r8, 56(%%rsi)\n" - : - : "S"(l), "D"(a->d) - : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc", "memory"); -#else - /* 160 bit accumulator. */ - uint64_t c0 = 0, c1 = 0; - uint32_t c2 = 0; - - /* l[0..7] = a[0..3] * b[0..3]. */ - muladd_fast(a->d[0], a->d[0]); - extract_fast(l[0]); - muladd2(a->d[0], a->d[1]); - extract(l[1]); - muladd2(a->d[0], a->d[2]); - muladd(a->d[1], a->d[1]); - extract(l[2]); - muladd2(a->d[0], a->d[3]); - muladd2(a->d[1], a->d[2]); - extract(l[3]); - muladd2(a->d[1], a->d[3]); - muladd(a->d[2], a->d[2]); - extract(l[4]); - muladd2(a->d[2], a->d[3]); - extract(l[5]); - muladd_fast(a->d[3], a->d[3]); - extract_fast(l[6]); + extract_fast(l8[6]); VERIFY_CHECK(c1 == 0); - l[7] = c0; + l8[7] = c0; #endif } @@ -884,48 +849,40 @@ static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar *a) { #undef sumadd_fast #undef muladd #undef muladd_fast -#undef muladd2 #undef extract #undef extract_fast static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { uint64_t l[8]; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + secp256k1_scalar_mul_512(l, a, b); secp256k1_scalar_reduce_512(r, l); -} -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { - int ret; - VERIFY_CHECK(n > 0); - VERIFY_CHECK(n < 16); - ret = r->d[0] & ((1 << n) - 1); - r->d[0] = (r->d[0] >> n) + (r->d[1] << (64 - n)); - r->d[1] = (r->d[1] >> n) + (r->d[2] << (64 - n)); - r->d[2] = (r->d[2] >> n) + (r->d[3] << (64 - n)); - r->d[3] = (r->d[3] >> n); - return ret; + SECP256K1_SCALAR_VERIFY(r); } -static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) { - uint64_t l[8]; - secp256k1_scalar_sqr_512(l, a); - secp256k1_scalar_reduce_512(r, l); -} +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + SECP256K1_SCALAR_VERIFY(k); -#ifdef USE_ENDOMORPHISM -static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { - r1->d[0] = a->d[0]; - r1->d[1] = a->d[1]; + r1->d[0] = k->d[0]; + r1->d[1] = k->d[1]; r1->d[2] = 0; r1->d[3] = 0; - r2->d[0] = a->d[2]; - r2->d[1] = a->d[3]; + r2->d[0] = k->d[2]; + r2->d[1] = k->d[3]; r2->d[2] = 0; r2->d[3] = 0; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } -#endif SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3])) == 0; } @@ -934,7 +891,10 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, unsigned int shiftlimbs; unsigned int shiftlow; unsigned int shifthigh; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); VERIFY_CHECK(shift >= 256); + secp256k1_scalar_mul_512(l, a, b); shiftlimbs = shift >> 6; shiftlow = shift & 0x3F; @@ -944,6 +904,97 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, r->d[2] = shift < 384 ? (l[2 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[3 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[3] = shift < 320 ? (l[3 + shiftlimbs] >> shiftlow) : 0; secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 6] >> ((shift - 1) & 0x3f)) & 1); + + SECP256K1_SCALAR_VERIFY(r); +} + +static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) { + uint64_t mask0, mask1; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d)); + + mask0 = vflag + ~((uint64_t)0); + mask1 = ~mask0; + r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1); + r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1); + r->d[2] = (r->d[2] & mask0) | (a->d[2] & mask1); + r->d[3] = (r->d[3] & mask0) | (a->d[3] & mask1); + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_from_signed62(secp256k1_scalar *r, const secp256k1_modinv64_signed62 *a) { + const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4]; + + /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4). + */ + VERIFY_CHECK(a0 >> 62 == 0); + VERIFY_CHECK(a1 >> 62 == 0); + VERIFY_CHECK(a2 >> 62 == 0); + VERIFY_CHECK(a3 >> 62 == 0); + VERIFY_CHECK(a4 >> 8 == 0); + + r->d[0] = a0 | a1 << 62; + r->d[1] = a1 >> 2 | a2 << 60; + r->d[2] = a2 >> 4 | a3 << 58; + r->d[3] = a3 >> 6 | a4 << 56; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_scalar *a) { + const uint64_t M62 = UINT64_MAX >> 2; + const uint64_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3]; + SECP256K1_SCALAR_VERIFY(a); + + r->v[0] = a0 & M62; + r->v[1] = (a0 >> 62 | a1 << 2) & M62; + r->v[2] = (a1 >> 60 | a2 << 4) & M62; + r->v[3] = (a2 >> 58 | a3 << 6) & M62; + r->v[4] = a3 >> 56; +} + +static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_scalar = { + {{0x3FD25E8CD0364141LL, 0x2ABB739ABD2280EELL, -0x15LL, 0, 256}}, + 0x34F20099AA774EC1LL +}; + +static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_modinv64_signed62 s; +#ifdef VERIFY + int zero_in = secp256k1_scalar_is_zero(x); +#endif + SECP256K1_SCALAR_VERIFY(x); + + secp256k1_scalar_to_signed62(&s, x); + secp256k1_modinv64(&s, &secp256k1_const_modinfo_scalar); + secp256k1_scalar_from_signed62(r, &s); + + SECP256K1_SCALAR_VERIFY(r); + VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); +} + +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_modinv64_signed62 s; +#ifdef VERIFY + int zero_in = secp256k1_scalar_is_zero(x); +#endif + SECP256K1_SCALAR_VERIFY(x); + + secp256k1_scalar_to_signed62(&s, x); + secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_scalar); + secp256k1_scalar_from_signed62(r, &s); + + SECP256K1_SCALAR_VERIFY(r); + VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); +} + +SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + + return !(a->d[0] & 1); } #endif /* SECP256K1_SCALAR_REPR_IMPL_H */ diff --git a/src/secp256k1/src/scalar_8x32.h b/src/secp256k1/src/scalar_8x32.h index 2c9a348e..17863ef9 100644 --- a/src/secp256k1/src/scalar_8x32.h +++ b/src/secp256k1/src/scalar_8x32.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_REPR_H #define SECP256K1_SCALAR_REPR_H diff --git a/src/secp256k1/src/scalar_8x32_impl.h b/src/secp256k1/src/scalar_8x32_impl.h index 4f9ed61f..26104960 100644 --- a/src/secp256k1/src/scalar_8x32_impl.h +++ b/src/secp256k1/src/scalar_8x32_impl.h @@ -1,12 +1,16 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_REPR_IMPL_H #define SECP256K1_SCALAR_REPR_IMPL_H +#include "checkmem.h" +#include "modinv32_impl.h" +#include "util.h" + /* Limbs of the secp256k1 order. */ #define SECP256K1_N_0 ((uint32_t)0xD0364141UL) #define SECP256K1_N_1 ((uint32_t)0xBFD25E8CUL) @@ -34,17 +38,6 @@ #define SECP256K1_N_H_6 ((uint32_t)0xFFFFFFFFUL) #define SECP256K1_N_H_7 ((uint32_t)0x7FFFFFFFUL) -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { - r->d[0] = 0; - r->d[1] = 0; - r->d[2] = 0; - r->d[3] = 0; - r->d[4] = 0; - r->d[5] = 0; - r->d[6] = 0; - r->d[7] = 0; -} - SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { r->d[0] = v; r->d[1] = 0; @@ -54,21 +47,28 @@ SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsig r->d[5] = 0; r->d[6] = 0; r->d[7] = 0; + + SECP256K1_SCALAR_VERIFY(r); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK((offset + count - 1) >> 5 == offset >> 5); - return (a->d[offset >> 5] >> (offset & 0x1F)) & ((1 << count) - 1); + + return (a->d[offset >> 5] >> (offset & 0x1F)) & (0xFFFFFFFF >> (32 - count)); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - VERIFY_CHECK(count < 32); +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK(offset + count <= 256); + if ((offset + count - 1) >> 5 == offset >> 5) { - return secp256k1_scalar_get_bits(a, offset, count); + return secp256k1_scalar_get_bits_limb32(a, offset, count); } else { VERIFY_CHECK((offset >> 5) + 1 < 8); - return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & ((((uint32_t)1) << count) - 1); + return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & (0xFFFFFFFF >> (32 - count)); } } @@ -93,6 +93,7 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_t overflow) { uint64_t t; VERIFY_CHECK(overflow <= 1); + t = (uint64_t)r->d[0] + overflow * SECP256K1_N_C_0; r->d[0] = t & 0xFFFFFFFFUL; t >>= 32; t += (uint64_t)r->d[1] + overflow * SECP256K1_N_C_1; @@ -109,12 +110,17 @@ SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_ r->d[6] = t & 0xFFFFFFFFUL; t >>= 32; t += (uint64_t)r->d[7]; r->d[7] = t & 0xFFFFFFFFUL; + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; uint64_t t = (uint64_t)a->d[0] + b->d[0]; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)a->d[1] + b->d[1]; r->d[1] = t & 0xFFFFFFFFULL; t >>= 32; @@ -133,13 +139,18 @@ static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, overflow = t + secp256k1_scalar_check_overflow(r); VERIFY_CHECK(overflow == 0 || overflow == 1); secp256k1_scalar_reduce(r, overflow); + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { uint64_t t; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(bit < 256); - bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */ + + bit += ((uint32_t) vflag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */ t = (uint64_t)r->d[0] + (((uint32_t)((bit >> 5) == 0)) << (bit & 0x1F)); r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)r->d[1] + (((uint32_t)((bit >> 5) == 1)) << (bit & 0x1F)); @@ -156,46 +167,53 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int r->d[6] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)r->d[7] + (((uint32_t)((bit >> 5) == 7)) << (bit & 0x1F)); r->d[7] = t & 0xFFFFFFFFULL; -#ifdef VERIFY + + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK((t >> 32) == 0); - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif } static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { int over; - r->d[0] = (uint32_t)b32[31] | (uint32_t)b32[30] << 8 | (uint32_t)b32[29] << 16 | (uint32_t)b32[28] << 24; - r->d[1] = (uint32_t)b32[27] | (uint32_t)b32[26] << 8 | (uint32_t)b32[25] << 16 | (uint32_t)b32[24] << 24; - r->d[2] = (uint32_t)b32[23] | (uint32_t)b32[22] << 8 | (uint32_t)b32[21] << 16 | (uint32_t)b32[20] << 24; - r->d[3] = (uint32_t)b32[19] | (uint32_t)b32[18] << 8 | (uint32_t)b32[17] << 16 | (uint32_t)b32[16] << 24; - r->d[4] = (uint32_t)b32[15] | (uint32_t)b32[14] << 8 | (uint32_t)b32[13] << 16 | (uint32_t)b32[12] << 24; - r->d[5] = (uint32_t)b32[11] | (uint32_t)b32[10] << 8 | (uint32_t)b32[9] << 16 | (uint32_t)b32[8] << 24; - r->d[6] = (uint32_t)b32[7] | (uint32_t)b32[6] << 8 | (uint32_t)b32[5] << 16 | (uint32_t)b32[4] << 24; - r->d[7] = (uint32_t)b32[3] | (uint32_t)b32[2] << 8 | (uint32_t)b32[1] << 16 | (uint32_t)b32[0] << 24; + r->d[0] = secp256k1_read_be32(&b32[28]); + r->d[1] = secp256k1_read_be32(&b32[24]); + r->d[2] = secp256k1_read_be32(&b32[20]); + r->d[3] = secp256k1_read_be32(&b32[16]); + r->d[4] = secp256k1_read_be32(&b32[12]); + r->d[5] = secp256k1_read_be32(&b32[8]); + r->d[6] = secp256k1_read_be32(&b32[4]); + r->d[7] = secp256k1_read_be32(&b32[0]); over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r)); if (overflow) { *overflow = over; } + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { - bin[0] = a->d[7] >> 24; bin[1] = a->d[7] >> 16; bin[2] = a->d[7] >> 8; bin[3] = a->d[7]; - bin[4] = a->d[6] >> 24; bin[5] = a->d[6] >> 16; bin[6] = a->d[6] >> 8; bin[7] = a->d[6]; - bin[8] = a->d[5] >> 24; bin[9] = a->d[5] >> 16; bin[10] = a->d[5] >> 8; bin[11] = a->d[5]; - bin[12] = a->d[4] >> 24; bin[13] = a->d[4] >> 16; bin[14] = a->d[4] >> 8; bin[15] = a->d[4]; - bin[16] = a->d[3] >> 24; bin[17] = a->d[3] >> 16; bin[18] = a->d[3] >> 8; bin[19] = a->d[3]; - bin[20] = a->d[2] >> 24; bin[21] = a->d[2] >> 16; bin[22] = a->d[2] >> 8; bin[23] = a->d[2]; - bin[24] = a->d[1] >> 24; bin[25] = a->d[1] >> 16; bin[26] = a->d[1] >> 8; bin[27] = a->d[1]; - bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_write_be32(&bin[0], a->d[7]); + secp256k1_write_be32(&bin[4], a->d[6]); + secp256k1_write_be32(&bin[8], a->d[5]); + secp256k1_write_be32(&bin[12], a->d[4]); + secp256k1_write_be32(&bin[16], a->d[3]); + secp256k1_write_be32(&bin[20], a->d[2]); + secp256k1_write_be32(&bin[24], a->d[1]); + secp256k1_write_be32(&bin[28], a->d[0]); } SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return (a->d[0] | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; } static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(a) == 0); uint64_t t = (uint64_t)(~a->d[0]) + SECP256K1_N_0 + 1; + SECP256K1_SCALAR_VERIFY(a); + r->d[0] = t & nonzero; t >>= 32; t += (uint64_t)(~a->d[1]) + SECP256K1_N_1; r->d[1] = t & nonzero; t >>= 32; @@ -211,15 +229,69 @@ static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar r->d[6] = t & nonzero; t >>= 32; t += (uint64_t)(~a->d[7]) + SECP256K1_N_7; r->d[7] = t & nonzero; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) { + /* Writing `/` for field division and `//` for integer division, we compute + * + * a/2 = (a - (a&1))/2 + (a&1)/2 + * = (a >> 1) + (a&1 ? 1/2 : 0) + * = (a >> 1) + (a&1 ? n//2+1 : 0), + * + * where n is the group order and in the last equality we have used 1/2 = n//2+1 (mod n). + * For n//2, we have the constants SECP256K1_N_H_0, ... + * + * This sum does not overflow. The most extreme case is a = -2, the largest odd scalar. Here: + * - the left summand is: a >> 1 = (a - a&1)/2 = (n-2-1)//2 = (n-3)//2 + * - the right summand is: a&1 ? n//2+1 : 0 = n//2+1 = (n-1)//2 + 2//2 = (n+1)//2 + * Together they sum to (n-3)//2 + (n+1)//2 = (2n-2)//2 = n - 1, which is less than n. + */ + uint32_t mask = -(uint32_t)(a->d[0] & 1U); + uint64_t t = (uint32_t)((a->d[0] >> 1) | (a->d[1] << 31)); + SECP256K1_SCALAR_VERIFY(a); + + t += (SECP256K1_N_H_0 + 1U) & mask; + r->d[0] = t; t >>= 32; + t += (uint32_t)((a->d[1] >> 1) | (a->d[2] << 31)); + t += SECP256K1_N_H_1 & mask; + r->d[1] = t; t >>= 32; + t += (uint32_t)((a->d[2] >> 1) | (a->d[3] << 31)); + t += SECP256K1_N_H_2 & mask; + r->d[2] = t; t >>= 32; + t += (uint32_t)((a->d[3] >> 1) | (a->d[4] << 31)); + t += SECP256K1_N_H_3 & mask; + r->d[3] = t; t >>= 32; + t += (uint32_t)((a->d[4] >> 1) | (a->d[5] << 31)); + t += SECP256K1_N_H_4 & mask; + r->d[4] = t; t >>= 32; + t += (uint32_t)((a->d[5] >> 1) | (a->d[6] << 31)); + t += SECP256K1_N_H_5 & mask; + r->d[5] = t; t >>= 32; + t += (uint32_t)((a->d[6] >> 1) | (a->d[7] << 31)); + t += SECP256K1_N_H_6 & mask; + r->d[6] = t; t >>= 32; + r->d[7] = (uint32_t)t + (uint32_t)(a->d[7] >> 1) + (SECP256K1_N_H_7 & mask); + + /* The line above only computed the bottom 32 bits of r->d[7]. Redo the computation + * in full 64 bits to make sure the top 32 bits are indeed zero. */ + VERIFY_CHECK((t + (a->d[7] >> 1) + (SECP256K1_N_H_7 & mask)) >> 32 == 0); + + SECP256K1_SCALAR_VERIFY(r); } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; } static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { int yes = 0; int no = 0; + SECP256K1_SCALAR_VERIFY(a); + no |= (a->d[7] < SECP256K1_N_H_7); yes |= (a->d[7] > SECP256K1_N_H_7) & ~no; no |= (a->d[6] < SECP256K1_N_H_6) & ~yes; /* No need for a > check. */ @@ -238,9 +310,12 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { /* If we are flag = 0, mask = 00...00 and this is a no-op; * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ - uint32_t mask = !flag - 1; + volatile int vflag = flag; + uint32_t mask = -vflag; uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(r) == 0); uint64_t t = (uint64_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask); + SECP256K1_SCALAR_VERIFY(r); + r->d[0] = t & nonzero; t >>= 32; t += (uint64_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask); r->d[1] = t & nonzero; t >>= 32; @@ -256,6 +331,8 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { r->d[6] = t & nonzero; t >>= 32; t += (uint64_t)(r->d[7] ^ mask) + (SECP256K1_N_7 & mask); r->d[7] = t & nonzero; + + SECP256K1_SCALAR_VERIFY(r); return 2 * (mask == 0) - 1; } @@ -271,9 +348,9 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { tl = t; \ } \ c0 += tl; /* overflow is handled on the next line */ \ - th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFF */ \ + th += (c0 < tl); /* at most 0xFFFFFFFF */ \ c1 += th; /* overflow is handled on the next line */ \ - c2 += (c1 < th) ? 1 : 0; /* never overflows by contract (verified in the next line) */ \ + c2 += (c1 < th); /* never overflows by contract (verified in the next line) */ \ VERIFY_CHECK((c1 >= th) || (c2 != 0)); \ } @@ -286,46 +363,24 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { tl = t; \ } \ c0 += tl; /* overflow is handled on the next line */ \ - th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFF */ \ + th += (c0 < tl); /* at most 0xFFFFFFFF */ \ c1 += th; /* never overflows by contract (verified in the next line) */ \ VERIFY_CHECK(c1 >= th); \ } -/** Add 2*a*b to the number defined by (c0,c1,c2). c2 must never overflow. */ -#define muladd2(a,b) { \ - uint32_t tl, th, th2, tl2; \ - { \ - uint64_t t = (uint64_t)a * b; \ - th = t >> 32; /* at most 0xFFFFFFFE */ \ - tl = t; \ - } \ - th2 = th + th; /* at most 0xFFFFFFFE (in case th was 0x7FFFFFFF) */ \ - c2 += (th2 < th) ? 1 : 0; /* never overflows by contract (verified the next line) */ \ - VERIFY_CHECK((th2 >= th) || (c2 != 0)); \ - tl2 = tl + tl; /* at most 0xFFFFFFFE (in case the lowest 63 bits of tl were 0x7FFFFFFF) */ \ - th2 += (tl2 < tl) ? 1 : 0; /* at most 0xFFFFFFFF */ \ - c0 += tl2; /* overflow is handled on the next line */ \ - th2 += (c0 < tl2) ? 1 : 0; /* second overflow is handled on the next line */ \ - c2 += (c0 < tl2) & (th2 == 0); /* never overflows by contract (verified the next line) */ \ - VERIFY_CHECK((c0 >= tl2) || (th2 != 0) || (c2 != 0)); \ - c1 += th2; /* overflow is handled on the next line */ \ - c2 += (c1 < th2) ? 1 : 0; /* never overflows by contract (verified the next line) */ \ - VERIFY_CHECK((c1 >= th2) || (c2 != 0)); \ -} - /** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */ #define sumadd(a) { \ unsigned int over; \ c0 += (a); /* overflow is handled on the next line */ \ - over = (c0 < (a)) ? 1 : 0; \ + over = (c0 < (a)); \ c1 += over; /* overflow is handled on the next line */ \ - c2 += (c1 < over) ? 1 : 0; /* never overflows by contract */ \ + c2 += (c1 < over); /* never overflows by contract */ \ } /** Add a to the number defined by (c0,c1). c1 must never overflow, c2 must be zero. */ #define sumadd_fast(a) { \ c0 += (a); /* overflow is handled on the next line */ \ - c1 += (c0 < (a)) ? 1 : 0; /* never overflows by contract (verified the next line) */ \ + c1 += (c0 < (a)); /* never overflows by contract (verified the next line) */ \ VERIFY_CHECK((c1 != 0) | (c0 >= (a))); \ VERIFY_CHECK(c2 == 0); \ } @@ -576,124 +631,52 @@ static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar *a, con l[15] = c0; } -static void secp256k1_scalar_sqr_512(uint32_t *l, const secp256k1_scalar *a) { - /* 96 bit accumulator. */ - uint32_t c0 = 0, c1 = 0, c2 = 0; - - /* l[0..15] = a[0..7]^2. */ - muladd_fast(a->d[0], a->d[0]); - extract_fast(l[0]); - muladd2(a->d[0], a->d[1]); - extract(l[1]); - muladd2(a->d[0], a->d[2]); - muladd(a->d[1], a->d[1]); - extract(l[2]); - muladd2(a->d[0], a->d[3]); - muladd2(a->d[1], a->d[2]); - extract(l[3]); - muladd2(a->d[0], a->d[4]); - muladd2(a->d[1], a->d[3]); - muladd(a->d[2], a->d[2]); - extract(l[4]); - muladd2(a->d[0], a->d[5]); - muladd2(a->d[1], a->d[4]); - muladd2(a->d[2], a->d[3]); - extract(l[5]); - muladd2(a->d[0], a->d[6]); - muladd2(a->d[1], a->d[5]); - muladd2(a->d[2], a->d[4]); - muladd(a->d[3], a->d[3]); - extract(l[6]); - muladd2(a->d[0], a->d[7]); - muladd2(a->d[1], a->d[6]); - muladd2(a->d[2], a->d[5]); - muladd2(a->d[3], a->d[4]); - extract(l[7]); - muladd2(a->d[1], a->d[7]); - muladd2(a->d[2], a->d[6]); - muladd2(a->d[3], a->d[5]); - muladd(a->d[4], a->d[4]); - extract(l[8]); - muladd2(a->d[2], a->d[7]); - muladd2(a->d[3], a->d[6]); - muladd2(a->d[4], a->d[5]); - extract(l[9]); - muladd2(a->d[3], a->d[7]); - muladd2(a->d[4], a->d[6]); - muladd(a->d[5], a->d[5]); - extract(l[10]); - muladd2(a->d[4], a->d[7]); - muladd2(a->d[5], a->d[6]); - extract(l[11]); - muladd2(a->d[5], a->d[7]); - muladd(a->d[6], a->d[6]); - extract(l[12]); - muladd2(a->d[6], a->d[7]); - extract(l[13]); - muladd_fast(a->d[7], a->d[7]); - extract_fast(l[14]); - VERIFY_CHECK(c1 == 0); - l[15] = c0; -} - #undef sumadd #undef sumadd_fast #undef muladd #undef muladd_fast -#undef muladd2 #undef extract #undef extract_fast static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { uint32_t l[16]; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + secp256k1_scalar_mul_512(l, a, b); secp256k1_scalar_reduce_512(r, l); -} -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { - int ret; - VERIFY_CHECK(n > 0); - VERIFY_CHECK(n < 16); - ret = r->d[0] & ((1 << n) - 1); - r->d[0] = (r->d[0] >> n) + (r->d[1] << (32 - n)); - r->d[1] = (r->d[1] >> n) + (r->d[2] << (32 - n)); - r->d[2] = (r->d[2] >> n) + (r->d[3] << (32 - n)); - r->d[3] = (r->d[3] >> n) + (r->d[4] << (32 - n)); - r->d[4] = (r->d[4] >> n) + (r->d[5] << (32 - n)); - r->d[5] = (r->d[5] >> n) + (r->d[6] << (32 - n)); - r->d[6] = (r->d[6] >> n) + (r->d[7] << (32 - n)); - r->d[7] = (r->d[7] >> n); - return ret; + SECP256K1_SCALAR_VERIFY(r); } -static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) { - uint32_t l[16]; - secp256k1_scalar_sqr_512(l, a); - secp256k1_scalar_reduce_512(r, l); -} +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + SECP256K1_SCALAR_VERIFY(k); -#ifdef USE_ENDOMORPHISM -static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { - r1->d[0] = a->d[0]; - r1->d[1] = a->d[1]; - r1->d[2] = a->d[2]; - r1->d[3] = a->d[3]; + r1->d[0] = k->d[0]; + r1->d[1] = k->d[1]; + r1->d[2] = k->d[2]; + r1->d[3] = k->d[3]; r1->d[4] = 0; r1->d[5] = 0; r1->d[6] = 0; r1->d[7] = 0; - r2->d[0] = a->d[4]; - r2->d[1] = a->d[5]; - r2->d[2] = a->d[6]; - r2->d[3] = a->d[7]; + r2->d[0] = k->d[4]; + r2->d[1] = k->d[5]; + r2->d[2] = k->d[6]; + r2->d[3] = k->d[7]; r2->d[4] = 0; r2->d[5] = 0; r2->d[6] = 0; r2->d[7] = 0; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } -#endif SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3]) | (a->d[4] ^ b->d[4]) | (a->d[5] ^ b->d[5]) | (a->d[6] ^ b->d[6]) | (a->d[7] ^ b->d[7])) == 0; } @@ -702,7 +685,10 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, unsigned int shiftlimbs; unsigned int shiftlow; unsigned int shifthigh; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); VERIFY_CHECK(shift >= 256); + secp256k1_scalar_mul_512(l, a, b); shiftlimbs = shift >> 5; shiftlow = shift & 0x1F; @@ -716,6 +702,115 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, r->d[6] = shift < 320 ? (l[6 + shiftlimbs] >> shiftlow | (shift < 288 && shiftlow ? (l[7 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[7] = shift < 288 ? (l[7 + shiftlimbs] >> shiftlow) : 0; secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 5] >> ((shift - 1) & 0x1f)) & 1); + + SECP256K1_SCALAR_VERIFY(r); +} + +static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) { + uint32_t mask0, mask1; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d)); + + mask0 = vflag + ~((uint32_t)0); + mask1 = ~mask0; + r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1); + r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1); + r->d[2] = (r->d[2] & mask0) | (a->d[2] & mask1); + r->d[3] = (r->d[3] & mask0) | (a->d[3] & mask1); + r->d[4] = (r->d[4] & mask0) | (a->d[4] & mask1); + r->d[5] = (r->d[5] & mask0) | (a->d[5] & mask1); + r->d[6] = (r->d[6] & mask0) | (a->d[6] & mask1); + r->d[7] = (r->d[7] & mask0) | (a->d[7] & mask1); + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_from_signed30(secp256k1_scalar *r, const secp256k1_modinv32_signed30 *a) { + const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4], + a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8]; + + /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8). + */ + VERIFY_CHECK(a0 >> 30 == 0); + VERIFY_CHECK(a1 >> 30 == 0); + VERIFY_CHECK(a2 >> 30 == 0); + VERIFY_CHECK(a3 >> 30 == 0); + VERIFY_CHECK(a4 >> 30 == 0); + VERIFY_CHECK(a5 >> 30 == 0); + VERIFY_CHECK(a6 >> 30 == 0); + VERIFY_CHECK(a7 >> 30 == 0); + VERIFY_CHECK(a8 >> 16 == 0); + + r->d[0] = a0 | a1 << 30; + r->d[1] = a1 >> 2 | a2 << 28; + r->d[2] = a2 >> 4 | a3 << 26; + r->d[3] = a3 >> 6 | a4 << 24; + r->d[4] = a4 >> 8 | a5 << 22; + r->d[5] = a5 >> 10 | a6 << 20; + r->d[6] = a6 >> 12 | a7 << 18; + r->d[7] = a7 >> 14 | a8 << 16; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_scalar *a) { + const uint32_t M30 = UINT32_MAX >> 2; + const uint32_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3], + a4 = a->d[4], a5 = a->d[5], a6 = a->d[6], a7 = a->d[7]; + SECP256K1_SCALAR_VERIFY(a); + + r->v[0] = a0 & M30; + r->v[1] = (a0 >> 30 | a1 << 2) & M30; + r->v[2] = (a1 >> 28 | a2 << 4) & M30; + r->v[3] = (a2 >> 26 | a3 << 6) & M30; + r->v[4] = (a3 >> 24 | a4 << 8) & M30; + r->v[5] = (a4 >> 22 | a5 << 10) & M30; + r->v[6] = (a5 >> 20 | a6 << 12) & M30; + r->v[7] = (a6 >> 18 | a7 << 14) & M30; + r->v[8] = a7 >> 16; +} + +static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_scalar = { + {{0x10364141L, 0x3F497A33L, 0x348A03BBL, 0x2BB739ABL, -0x146L, 0, 0, 0, 65536}}, + 0x2A774EC1L +}; + +static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_modinv32_signed30 s; +#ifdef VERIFY + int zero_in = secp256k1_scalar_is_zero(x); +#endif + SECP256K1_SCALAR_VERIFY(x); + + secp256k1_scalar_to_signed30(&s, x); + secp256k1_modinv32(&s, &secp256k1_const_modinfo_scalar); + secp256k1_scalar_from_signed30(r, &s); + + SECP256K1_SCALAR_VERIFY(r); + VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); +} + +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_modinv32_signed30 s; +#ifdef VERIFY + int zero_in = secp256k1_scalar_is_zero(x); +#endif + SECP256K1_SCALAR_VERIFY(x); + + secp256k1_scalar_to_signed30(&s, x); + secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_scalar); + secp256k1_scalar_from_signed30(r, &s); + + SECP256K1_SCALAR_VERIFY(r); + VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); +} + +SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + + return !(a->d[0] & 1); } #endif /* SECP256K1_SCALAR_REPR_IMPL_H */ diff --git a/src/secp256k1/src/scalar_impl.h b/src/secp256k1/src/scalar_impl.h index 6b336d9d..dbb5b0a0 100644 --- a/src/secp256k1/src/scalar_impl.h +++ b/src/secp256k1/src/scalar_impl.h @@ -1,279 +1,120 @@ -/********************************************************************** - * Copyright (c) 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_IMPL_H #define SECP256K1_SCALAR_IMPL_H +#ifdef VERIFY +#include +#endif + #include "scalar.h" #include "util.h" -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif - #if defined(EXHAUSTIVE_TEST_ORDER) #include "scalar_low_impl.h" -#elif defined(USE_SCALAR_4X64) +#elif defined(SECP256K1_WIDEMUL_INT128) #include "scalar_4x64_impl.h" -#elif defined(USE_SCALAR_8X32) +#elif defined(SECP256K1_WIDEMUL_INT64) #include "scalar_8x32_impl.h" #else -#error "Please select scalar implementation" +#error "Please select wide multiplication implementation" #endif -#ifndef USE_NUM_NONE -static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a) { - unsigned char c[32]; - secp256k1_scalar_get_b32(c, a); - secp256k1_num_set_bin(r, c, 32); -} +static const secp256k1_scalar secp256k1_scalar_one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); +static const secp256k1_scalar secp256k1_scalar_zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); -/** secp256k1 curve order, see secp256k1_ecdsa_const_order_as_fe in ecdsa_impl.h */ -static void secp256k1_scalar_order_get_num(secp256k1_num *r) { -#if defined(EXHAUSTIVE_TEST_ORDER) - static const unsigned char order[32] = { - 0,0,0,0,0,0,0,0, - 0,0,0,0,0,0,0,0, - 0,0,0,0,0,0,0,0, - 0,0,0,0,0,0,0,EXHAUSTIVE_TEST_ORDER - }; -#else - static const unsigned char order[32] = { - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE, - 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B, - 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41 - }; -#endif - secp256k1_num_set_bin(r, order, 32); +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { + secp256k1_memclear(r, sizeof(secp256k1_scalar)); } -#endif - -static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { -#if defined(EXHAUSTIVE_TEST_ORDER) - int i; - *r = 0; - for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) - if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1) - *r = i; - /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus - * have a composite group order; fix it in exhaustive_tests.c). */ - VERIFY_CHECK(*r != 0); -} -#else - secp256k1_scalar *t; - int i; - /* First compute xN as x ^ (2^N - 1) for some values of N, - * and uM as x ^ M for some values of M. */ - secp256k1_scalar x2, x3, x6, x8, x14, x28, x56, x112, x126; - secp256k1_scalar u2, u5, u9, u11, u13; - - secp256k1_scalar_sqr(&u2, x); - secp256k1_scalar_mul(&x2, &u2, x); - secp256k1_scalar_mul(&u5, &u2, &x2); - secp256k1_scalar_mul(&x3, &u5, &u2); - secp256k1_scalar_mul(&u9, &x3, &u2); - secp256k1_scalar_mul(&u11, &u9, &u2); - secp256k1_scalar_mul(&u13, &u11, &u2); - - secp256k1_scalar_sqr(&x6, &u13); - secp256k1_scalar_sqr(&x6, &x6); - secp256k1_scalar_mul(&x6, &x6, &u11); - - secp256k1_scalar_sqr(&x8, &x6); - secp256k1_scalar_sqr(&x8, &x8); - secp256k1_scalar_mul(&x8, &x8, &x2); - - secp256k1_scalar_sqr(&x14, &x8); - for (i = 0; i < 5; i++) { - secp256k1_scalar_sqr(&x14, &x14); - } - secp256k1_scalar_mul(&x14, &x14, &x6); - secp256k1_scalar_sqr(&x28, &x14); - for (i = 0; i < 13; i++) { - secp256k1_scalar_sqr(&x28, &x28); - } - secp256k1_scalar_mul(&x28, &x28, &x14); +static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned char *bin) { + int overflow; + secp256k1_scalar_set_b32(r, bin, &overflow); - secp256k1_scalar_sqr(&x56, &x28); - for (i = 0; i < 27; i++) { - secp256k1_scalar_sqr(&x56, &x56); - } - secp256k1_scalar_mul(&x56, &x56, &x28); - - secp256k1_scalar_sqr(&x112, &x56); - for (i = 0; i < 55; i++) { - secp256k1_scalar_sqr(&x112, &x112); - } - secp256k1_scalar_mul(&x112, &x112, &x56); - - secp256k1_scalar_sqr(&x126, &x112); - for (i = 0; i < 13; i++) { - secp256k1_scalar_sqr(&x126, &x126); - } - secp256k1_scalar_mul(&x126, &x126, &x14); - - /* Then accumulate the final result (t starts at x126). */ - t = &x126; - for (i = 0; i < 3; i++) { - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u5); /* 101 */ - for (i = 0; i < 4; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x3); /* 111 */ - for (i = 0; i < 4; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u5); /* 101 */ - for (i = 0; i < 5; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u11); /* 1011 */ - for (i = 0; i < 4; i++) { - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u11); /* 1011 */ - for (i = 0; i < 4; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x3); /* 111 */ - for (i = 0; i < 5; i++) { /* 00 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x3); /* 111 */ - for (i = 0; i < 6; i++) { /* 00 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u13); /* 1101 */ - for (i = 0; i < 4; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u5); /* 101 */ - for (i = 0; i < 3; i++) { - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x3); /* 111 */ - for (i = 0; i < 5; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u9); /* 1001 */ - for (i = 0; i < 6; i++) { /* 000 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u5); /* 101 */ - for (i = 0; i < 10; i++) { /* 0000000 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x3); /* 111 */ - for (i = 0; i < 4; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x3); /* 111 */ - for (i = 0; i < 9; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x8); /* 11111111 */ - for (i = 0; i < 5; i++) { /* 0 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u9); /* 1001 */ - for (i = 0; i < 6; i++) { /* 00 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u11); /* 1011 */ - for (i = 0; i < 4; i++) { - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u13); /* 1101 */ - for (i = 0; i < 5; i++) { - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &x2); /* 11 */ - for (i = 0; i < 6; i++) { /* 00 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u13); /* 1101 */ - for (i = 0; i < 10; i++) { /* 000000 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u13); /* 1101 */ - for (i = 0; i < 4; i++) { - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, &u9); /* 1001 */ - for (i = 0; i < 6; i++) { /* 00000 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(t, t, x); /* 1 */ - for (i = 0; i < 8; i++) { /* 00 */ - secp256k1_scalar_sqr(t, t); - } - secp256k1_scalar_mul(r, t, &x6); /* 111111 */ + SECP256K1_SCALAR_VERIFY(r); + return (!overflow) & (!secp256k1_scalar_is_zero(r)); } -SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { - return !(a->d[0] & 1); -} -#endif +static void secp256k1_scalar_verify(const secp256k1_scalar *r) { + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { -#if defined(USE_SCALAR_INV_BUILTIN) - secp256k1_scalar_inverse(r, x); -#elif defined(USE_SCALAR_INV_NUM) - unsigned char b[32]; - secp256k1_num n, m; - secp256k1_scalar t = *x; - secp256k1_scalar_get_b32(b, &t); - secp256k1_num_set_bin(&n, b, 32); - secp256k1_scalar_order_get_num(&m); - secp256k1_num_mod_inverse(&n, &n, &m); - secp256k1_num_get_bin(b, 32, &n); - secp256k1_scalar_set_b32(r, b, NULL); - /* Verify that the inverse was computed correctly, without GMP code. */ - secp256k1_scalar_mul(&t, &t, r); - CHECK(secp256k1_scalar_is_one(&t)); -#else -#error "Please select scalar inverse implementation" -#endif + (void)r; } -#ifdef USE_ENDOMORPHISM #if defined(EXHAUSTIVE_TEST_ORDER) +/* Begin of section generated by sage/gen_exhaustive_groups.sage. */ +# if EXHAUSTIVE_TEST_ORDER == 7 +# define EXHAUSTIVE_TEST_LAMBDA 2 +# elif EXHAUSTIVE_TEST_ORDER == 13 +# define EXHAUSTIVE_TEST_LAMBDA 9 +# elif EXHAUSTIVE_TEST_ORDER == 199 +# define EXHAUSTIVE_TEST_LAMBDA 92 +# else +# error No known lambda for the specified exhaustive test group order. +# endif +/* End of section generated by sage/gen_exhaustive_groups.sage. */ + /** - * Find k1 and k2 given k, such that k1 + k2 * lambda == k mod n; unlike in the - * full case we don't bother making k1 and k2 be small, we just want them to be + * Find r1 and r2 given k, such that r1 + r2 * lambda == k mod n; unlike in the + * full case we don't bother making r1 and r2 be small, we just want them to be * nontrivial to get full test coverage for the exhaustive tests. We therefore - * (arbitrarily) set k2 = k + 5 and k1 = k - k2 * lambda. + * (arbitrarily) set r2 = k + 5 (mod n) and r1 = k - r2 * lambda (mod n). */ -static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { - *r2 = (*a + 5) % EXHAUSTIVE_TEST_ORDER; - *r1 = (*a + (EXHAUSTIVE_TEST_ORDER - *r2) * EXHAUSTIVE_TEST_LAMBDA) % EXHAUSTIVE_TEST_ORDER; +static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k) { + SECP256K1_SCALAR_VERIFY(k); + VERIFY_CHECK(r1 != k); + VERIFY_CHECK(r2 != k); + VERIFY_CHECK(r1 != r2); + + *r2 = (*k + 5) % EXHAUSTIVE_TEST_ORDER; + *r1 = (*k + (EXHAUSTIVE_TEST_ORDER - *r2) * EXHAUSTIVE_TEST_LAMBDA) % EXHAUSTIVE_TEST_ORDER; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } #else /** * The Secp256k1 curve has an endomorphism, where lambda * (x, y) = (beta * x, y), where - * lambda is {0x53,0x63,0xad,0x4c,0xc0,0x5c,0x30,0xe0,0xa5,0x26,0x1c,0x02,0x88,0x12,0x64,0x5a, - * 0x12,0x2e,0x22,0xea,0x20,0x81,0x66,0x78,0xdf,0x02,0x96,0x7c,0x1b,0x23,0xbd,0x72} + * lambda is: */ +static const secp256k1_scalar secp256k1_const_lambda = SECP256K1_SCALAR_CONST( + 0x5363AD4CUL, 0xC05C30E0UL, 0xA5261C02UL, 0x8812645AUL, + 0x122E22EAUL, 0x20816678UL, 0xDF02967CUL, 0x1B23BD72UL +); + +#ifdef VERIFY +static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, const secp256k1_scalar *r2, const secp256k1_scalar *k); +#endif + +/* + * Both lambda and beta are primitive cube roots of unity. That is lamba^3 == 1 mod n and + * beta^3 == 1 mod p, where n is the curve order and p is the field order. * - * "Guide to Elliptic Curve Cryptography" (Hankerson, Menezes, Vanstone) gives an algorithm - * (algorithm 3.74) to find k1 and k2 given k, such that k1 + k2 * lambda == k mod n, and k1 - * and k2 have a small size. - * It relies on constants a1, b1, a2, b2. These constants for the value of lambda above are: + * Furthermore, because (X^3 - 1) = (X - 1)(X^2 + X + 1), the primitive cube roots of unity are + * roots of X^2 + X + 1. Therefore lambda^2 + lamba == -1 mod n and beta^2 + beta == -1 mod p. + * (The other primitive cube roots of unity are lambda^2 and beta^2 respectively.) + * + * Let l = -1/2 + i*sqrt(3)/2, the complex root of X^2 + X + 1. We can define a ring + * homomorphism phi : Z[l] -> Z_n where phi(a + b*l) == a + b*lambda mod n. The kernel of phi + * is a lattice over Z[l] (considering Z[l] as a Z-module). This lattice is generated by a + * reduced basis {a1 + b1*l, a2 + b2*l} where * * - a1 = {0x30,0x86,0xd2,0x21,0xa7,0xd4,0x6b,0xcd,0xe8,0x6c,0x90,0xe4,0x92,0x84,0xeb,0x15} * - b1 = -{0xe4,0x43,0x7e,0xd6,0x01,0x0e,0x88,0x28,0x6f,0x54,0x7f,0xa9,0x0a,0xbf,0xe4,0xc3} * - a2 = {0x01,0x14,0xca,0x50,0xf7,0xa8,0xe2,0xf3,0xf6,0x57,0xc1,0x10,0x8d,0x9d,0x44,0xcf,0xd8} * - b2 = {0x30,0x86,0xd2,0x21,0xa7,0xd4,0x6b,0xcd,0xe8,0x6c,0x90,0xe4,0x92,0x84,0xeb,0x15} * - * The algorithm then computes c1 = round(b1 * k / n) and c2 = round(b2 * k / n), and gives + * "Guide to Elliptic Curve Cryptography" (Hankerson, Menezes, Vanstone) gives an algorithm + * (algorithm 3.74) to find k1 and k2 given k, such that k1 + k2 * lambda == k mod n, and k1 + * and k2 are small in absolute value. + * + * The algorithm computes c1 = round(b2 * k / n) and c2 = round((-b1) * k / n), and gives * k1 = k - (c1*a1 + c2*a2) and k2 = -(c1*b1 + c2*b2). Instead, we use modular arithmetic, and - * compute k1 as k - k2 * lambda, avoiding the need for constants a1 and a2. + * compute r2 = k2 mod n, and r1 = k1 mod n = (k - r2 * lambda) mod n, avoiding the need for + * the constants a1 and a2. * * g1, g2 are precomputed constants used to replace division with a rounded multiplication * when decomposing the scalar for an endomorphism-based point multiplication. @@ -285,21 +126,21 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar * Cryptography on Sensor Networks Using the MSP430X Microcontroller" (Gouvea, Oliveira, Lopez), * Section 4.3 (here we use a somewhat higher-precision estimate): * d = a1*b2 - b1*a2 - * g1 = round((2^272)*b2/d) - * g2 = round((2^272)*b1/d) + * g1 = round(2^384 * b2/d) + * g2 = round(2^384 * (-b1)/d) + * + * (Note that d is also equal to the curve order, n, here because [a1,b1] and [a2,b2] + * can be found as outputs of the Extended Euclidean Algorithm on inputs n and lambda). * - * (Note that 'd' is also equal to the curve order here because [a1,b1] and [a2,b2] are found - * as outputs of the Extended Euclidean Algorithm on inputs 'order' and 'lambda'). + * The function below splits k into r1 and r2, such that + * - r1 + lambda * r2 == k (mod n) + * - either r1 < 2^128 or -r1 mod n < 2^128 + * - either r2 < 2^128 or -r2 mod n < 2^128 * - * The function below splits a in r1 and r2, such that r1 + lambda * r2 == a (mod order). + * See proof below. */ - -static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { +static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k) { secp256k1_scalar c1, c2; - static const secp256k1_scalar minus_lambda = SECP256K1_SCALAR_CONST( - 0xAC9C52B3UL, 0x3FA3CF1FUL, 0x5AD9E3FDUL, 0x77ED9BA4UL, - 0xA880B9FCUL, 0x8EC739C2UL, 0xE0CFC810UL, 0xB51283CFUL - ); static const secp256k1_scalar minus_b1 = SECP256K1_SCALAR_CONST( 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C3UL @@ -309,25 +150,172 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar 0x8A280AC5UL, 0x0774346DUL, 0xD765CDA8UL, 0x3DB1562CUL ); static const secp256k1_scalar g1 = SECP256K1_SCALAR_CONST( - 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00003086UL, - 0xD221A7D4UL, 0x6BCDE86CUL, 0x90E49284UL, 0xEB153DABUL + 0x3086D221UL, 0xA7D46BCDUL, 0xE86C90E4UL, 0x9284EB15UL, + 0x3DAA8A14UL, 0x71E8CA7FUL, 0xE893209AUL, 0x45DBB031UL ); static const secp256k1_scalar g2 = SECP256K1_SCALAR_CONST( - 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x0000E443UL, - 0x7ED6010EUL, 0x88286F54UL, 0x7FA90ABFUL, 0xE4C42212UL + 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C4UL, + 0x221208ACUL, 0x9DF506C6UL, 0x1571B4AEUL, 0x8AC47F71UL ); - VERIFY_CHECK(r1 != a); - VERIFY_CHECK(r2 != a); + SECP256K1_SCALAR_VERIFY(k); + VERIFY_CHECK(r1 != k); + VERIFY_CHECK(r2 != k); + VERIFY_CHECK(r1 != r2); + /* these _var calls are constant time since the shift amount is constant */ - secp256k1_scalar_mul_shift_var(&c1, a, &g1, 272); - secp256k1_scalar_mul_shift_var(&c2, a, &g2, 272); + secp256k1_scalar_mul_shift_var(&c1, k, &g1, 384); + secp256k1_scalar_mul_shift_var(&c2, k, &g2, 384); secp256k1_scalar_mul(&c1, &c1, &minus_b1); secp256k1_scalar_mul(&c2, &c2, &minus_b2); secp256k1_scalar_add(r2, &c1, &c2); - secp256k1_scalar_mul(r1, r2, &minus_lambda); - secp256k1_scalar_add(r1, r1, a); -} -#endif + secp256k1_scalar_mul(r1, r2, &secp256k1_const_lambda); + secp256k1_scalar_negate(r1, r1); + secp256k1_scalar_add(r1, r1, k); + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); +#ifdef VERIFY + secp256k1_scalar_split_lambda_verify(r1, r2, k); #endif +} + +#ifdef VERIFY +/* + * Proof for secp256k1_scalar_split_lambda's bounds. + * + * Let + * - epsilon1 = 2^256 * |g1/2^384 - b2/d| + * - epsilon2 = 2^256 * |g2/2^384 - (-b1)/d| + * - c1 = round(k*g1/2^384) + * - c2 = round(k*g2/2^384) + * + * Lemma 1: |c1 - k*b2/d| < 2^-1 + epsilon1 + * + * |c1 - k*b2/d| + * = + * |c1 - k*g1/2^384 + k*g1/2^384 - k*b2/d| + * <= {triangle inequality} + * |c1 - k*g1/2^384| + |k*g1/2^384 - k*b2/d| + * = + * |c1 - k*g1/2^384| + k*|g1/2^384 - b2/d| + * < {rounding in c1 and 0 <= k < 2^256} + * 2^-1 + 2^256 * |g1/2^384 - b2/d| + * = {definition of epsilon1} + * 2^-1 + epsilon1 + * + * Lemma 2: |c2 - k*(-b1)/d| < 2^-1 + epsilon2 + * + * |c2 - k*(-b1)/d| + * = + * |c2 - k*g2/2^384 + k*g2/2^384 - k*(-b1)/d| + * <= {triangle inequality} + * |c2 - k*g2/2^384| + |k*g2/2^384 - k*(-b1)/d| + * = + * |c2 - k*g2/2^384| + k*|g2/2^384 - (-b1)/d| + * < {rounding in c2 and 0 <= k < 2^256} + * 2^-1 + 2^256 * |g2/2^384 - (-b1)/d| + * = {definition of epsilon2} + * 2^-1 + epsilon2 + * + * Let + * - k1 = k - c1*a1 - c2*a2 + * - k2 = - c1*b1 - c2*b2 + * + * Lemma 3: |k1| < (a1 + a2 + 1)/2 < 2^128 + * + * |k1| + * = {definition of k1} + * |k - c1*a1 - c2*a2| + * = {(a1*b2 - b1*a2)/n = 1} + * |k*(a1*b2 - b1*a2)/n - c1*a1 - c2*a2| + * = + * |a1*(k*b2/n - c1) + a2*(k*(-b1)/n - c2)| + * <= {triangle inequality} + * a1*|k*b2/n - c1| + a2*|k*(-b1)/n - c2| + * < {Lemma 1 and Lemma 2} + * a1*(2^-1 + epsilon1) + a2*(2^-1 + epsilon2) + * < {rounding up to an integer} + * (a1 + a2 + 1)/2 + * < {rounding up to a power of 2} + * 2^128 + * + * Lemma 4: |k2| < (-b1 + b2)/2 + 1 < 2^128 + * + * |k2| + * = {definition of k2} + * |- c1*a1 - c2*a2| + * = {(b1*b2 - b1*b2)/n = 0} + * |k*(b1*b2 - b1*b2)/n - c1*b1 - c2*b2| + * = + * |b1*(k*b2/n - c1) + b2*(k*(-b1)/n - c2)| + * <= {triangle inequality} + * (-b1)*|k*b2/n - c1| + b2*|k*(-b1)/n - c2| + * < {Lemma 1 and Lemma 2} + * (-b1)*(2^-1 + epsilon1) + b2*(2^-1 + epsilon2) + * < {rounding up to an integer} + * (-b1 + b2)/2 + 1 + * < {rounding up to a power of 2} + * 2^128 + * + * Let + * - r2 = k2 mod n + * - r1 = k - r2*lambda mod n. + * + * Notice that r1 is defined such that r1 + r2 * lambda == k (mod n). + * + * Lemma 5: r1 == k1 mod n. + * + * r1 + * == {definition of r1 and r2} + * k - k2*lambda + * == {definition of k2} + * k - (- c1*b1 - c2*b2)*lambda + * == + * k + c1*b1*lambda + c2*b2*lambda + * == {a1 + b1*lambda == 0 mod n and a2 + b2*lambda == 0 mod n} + * k - c1*a1 - c2*a2 + * == {definition of k1} + * k1 + * + * From Lemma 3, Lemma 4, Lemma 5 and the definition of r2, we can conclude that + * + * - either r1 < 2^128 or -r1 mod n < 2^128 + * - either r2 < 2^128 or -r2 mod n < 2^128. + * + * Q.E.D. + */ +static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, const secp256k1_scalar *r2, const secp256k1_scalar *k) { + secp256k1_scalar s; + unsigned char buf1[32]; + unsigned char buf2[32]; + + /* (a1 + a2 + 1)/2 is 0xa2a8918ca85bafe22016d0b917e4dd77 */ + static const unsigned char k1_bound[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xa2, 0xa8, 0x91, 0x8c, 0xa8, 0x5b, 0xaf, 0xe2, 0x20, 0x16, 0xd0, 0xb9, 0x17, 0xe4, 0xdd, 0x77 + }; + + /* (-b1 + b2)/2 + 1 is 0x8a65287bd47179fb2be08846cea267ed */ + static const unsigned char k2_bound[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x8a, 0x65, 0x28, 0x7b, 0xd4, 0x71, 0x79, 0xfb, 0x2b, 0xe0, 0x88, 0x46, 0xce, 0xa2, 0x67, 0xed + }; + + secp256k1_scalar_mul(&s, &secp256k1_const_lambda, r2); + secp256k1_scalar_add(&s, &s, r1); + VERIFY_CHECK(secp256k1_scalar_eq(&s, k)); + + secp256k1_scalar_negate(&s, r1); + secp256k1_scalar_get_b32(buf1, r1); + secp256k1_scalar_get_b32(buf2, &s); + VERIFY_CHECK(secp256k1_memcmp_var(buf1, k1_bound, 32) < 0 || secp256k1_memcmp_var(buf2, k1_bound, 32) < 0); + + secp256k1_scalar_negate(&s, r2); + secp256k1_scalar_get_b32(buf1, r2); + secp256k1_scalar_get_b32(buf2, &s); + VERIFY_CHECK(secp256k1_memcmp_var(buf1, k2_bound, 32) < 0 || secp256k1_memcmp_var(buf2, k2_bound, 32) < 0); +} +#endif /* VERIFY */ +#endif /* !defined(EXHAUSTIVE_TEST_ORDER) */ #endif /* SECP256K1_SCALAR_IMPL_H */ diff --git a/src/secp256k1/src/scalar_low.h b/src/secp256k1/src/scalar_low.h index 5836febc..2711eb93 100644 --- a/src/secp256k1/src/scalar_low.h +++ b/src/secp256k1/src/scalar_low.h @@ -1,8 +1,8 @@ -/********************************************************************** - * Copyright (c) 2015 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015, 2022 Andrew Poelstra, Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_REPR_H #define SECP256K1_SCALAR_REPR_H @@ -12,4 +12,13 @@ /** A scalar modulo the group order of the secp256k1 curve. */ typedef uint32_t secp256k1_scalar; +/* A compile-time constant equal to 2^32 (modulo order). */ +#define SCALAR_2P32 ((0xffffffffUL % EXHAUSTIVE_TEST_ORDER) + 1U) + +/* Compute a*2^32 + b (modulo order). */ +#define SCALAR_HORNER(a, b) (((uint64_t)(a) * SCALAR_2P32 + (b)) % EXHAUSTIVE_TEST_ORDER) + +/* Evaluates to the provided 256-bit constant reduced modulo order. */ +#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER((d7), (d6)), (d5)), (d4)), (d3)), (d2)), (d1)), (d0)) + #endif /* SECP256K1_SCALAR_REPR_H */ diff --git a/src/secp256k1/src/scalar_low_impl.h b/src/secp256k1/src/scalar_low_impl.h index 910ce3f4..84e1a380 100644 --- a/src/secp256k1/src/scalar_low_impl.h +++ b/src/secp256k1/src/scalar_low_impl.h @@ -1,117 +1,206 @@ -/********************************************************************** - * Copyright (c) 2015 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_SCALAR_REPR_IMPL_H #define SECP256K1_SCALAR_REPR_IMPL_H +#include "checkmem.h" #include "scalar.h" +#include "util.h" #include SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return !(*a & 1); } -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { *r = 0; } -SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { *r = v; } +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { + *r = v % EXHAUSTIVE_TEST_ORDER; + + SECP256K1_SCALAR_VERIFY(r); +} + +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - if (offset < 32) - return ((*a >> offset) & ((((uint32_t)1) << count) - 1)); - else + VERIFY_CHECK(count > 0 && count <= 32); + if (offset < 32) { + return (*a >> offset) & (0xFFFFFFFF >> (32 - count)); + } else { return 0; + } } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - return secp256k1_scalar_get_bits(a, offset, count); +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + + return secp256k1_scalar_get_bits_limb32(a, offset, count); } SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { return *a >= EXHAUSTIVE_TEST_ORDER; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + *r = (*a + *b) % EXHAUSTIVE_TEST_ORDER; + + SECP256K1_SCALAR_VERIFY(r); return *r < *b; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { + SECP256K1_SCALAR_VERIFY(r); + if (flag && bit < 32) *r += ((uint32_t)1 << bit); -#ifdef VERIFY + + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(bit < 32); /* Verify that adding (1 << bit) will not overflow any in-range scalar *r by overflowing the underlying uint32_t. */ VERIFY_CHECK(((uint32_t)1 << bit) - 1 <= UINT32_MAX - EXHAUSTIVE_TEST_ORDER); - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif } static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { - const int base = 0x100 % EXHAUSTIVE_TEST_ORDER; int i; + int over = 0; *r = 0; for (i = 0; i < 32; i++) { - *r = ((*r * base) + b32[i]) % EXHAUSTIVE_TEST_ORDER; + *r = (*r * 0x100) + b32[i]; + if (*r >= EXHAUSTIVE_TEST_ORDER) { + over = 1; + *r %= EXHAUSTIVE_TEST_ORDER; + } } - /* just deny overflow, it basically always happens */ - if (overflow) *overflow = 0; + if (overflow) *overflow = over; + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { + SECP256K1_SCALAR_VERIFY(a); + memset(bin, 0, 32); bin[28] = *a >> 24; bin[29] = *a >> 16; bin[30] = *a >> 8; bin[31] = *a; } SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return *a == 0; } static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + if (*a == 0) { *r = 0; } else { *r = EXHAUSTIVE_TEST_ORDER - *a; } + + SECP256K1_SCALAR_VERIFY(r); } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return *a == 1; } static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return *a > EXHAUSTIVE_TEST_ORDER / 2; } static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { + SECP256K1_SCALAR_VERIFY(r); + if (flag) secp256k1_scalar_negate(r, r); + + SECP256K1_SCALAR_VERIFY(r); return flag ? -1 : 1; } static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { - *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER; -} + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { - int ret; - VERIFY_CHECK(n > 0); - VERIFY_CHECK(n < 16); - ret = *r & ((1 << n) - 1); - *r >>= n; - return ret; -} + *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER; -static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) { - *r = (*a * *a) % EXHAUSTIVE_TEST_ORDER; + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + *r1 = *a; *r2 = 0; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + return *a == *b; } +static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) { + uint32_t mask0, mask1; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_CHECKMEM_CHECK_VERIFY(r, sizeof(*r)); + + mask0 = vflag + ~((uint32_t)0); + mask1 = ~mask0; + *r = (*r & mask0) | (*a & mask1); + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { + int i; + uint32_t res = 0; + SECP256K1_SCALAR_VERIFY(x); + + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { + if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1) { + res = i; + break; + } + } + + /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus + * have a composite group order; fix it in exhaustive_tests.c). */ + VERIFY_CHECK(res != 0); + *r = res; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { + SECP256K1_SCALAR_VERIFY(x); + + secp256k1_scalar_inverse(r, x); + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + + *r = (*a + ((-(uint32_t)(*a & 1)) & EXHAUSTIVE_TEST_ORDER)) >> 1; + + SECP256K1_SCALAR_VERIFY(r); +} + #endif /* SECP256K1_SCALAR_REPR_IMPL_H */ diff --git a/src/secp256k1/src/scratch.h b/src/secp256k1/src/scratch.h index 77b35d12..6164330b 100644 --- a/src/secp256k1/src/scratch.h +++ b/src/secp256k1/src/scratch.h @@ -1,11 +1,11 @@ -/********************************************************************** - * Copyright (c) 2017 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2017 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ -#ifndef _SECP256K1_SCRATCH_ -#define _SECP256K1_SCRATCH_ +#ifndef SECP256K1_SCRATCH_H +#define SECP256K1_SCRATCH_H /* The typedef is used internally; the struct name is used in the public API * (where it is exposed as a different typedef) */ @@ -21,6 +21,8 @@ typedef struct secp256k1_scratch_space_struct { size_t max_size; } secp256k1_scratch; +typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space; + static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t max_size); static void secp256k1_scratch_destroy(const secp256k1_callback* error_callback, secp256k1_scratch* scratch); diff --git a/src/secp256k1/src/scratch_impl.h b/src/secp256k1/src/scratch_impl.h index 4cee7000..f71a20b9 100644 --- a/src/secp256k1/src/scratch_impl.h +++ b/src/secp256k1/src/scratch_impl.h @@ -1,17 +1,17 @@ -/********************************************************************** - * Copyright (c) 2017 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2017 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ -#ifndef _SECP256K1_SCRATCH_IMPL_H_ -#define _SECP256K1_SCRATCH_IMPL_H_ +#ifndef SECP256K1_SCRATCH_IMPL_H +#define SECP256K1_SCRATCH_IMPL_H #include "util.h" #include "scratch.h" static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t size) { - const size_t base_alloc = ((sizeof(secp256k1_scratch) + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT; + const size_t base_alloc = ROUND_TO_ALIGN(sizeof(secp256k1_scratch)); void *alloc = checked_malloc(error_callback, base_alloc + size); secp256k1_scratch* ret = (secp256k1_scratch *)alloc; if (ret != NULL) { @@ -25,18 +25,18 @@ static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* err static void secp256k1_scratch_destroy(const secp256k1_callback* error_callback, secp256k1_scratch* scratch) { if (scratch != NULL) { - VERIFY_CHECK(scratch->alloc_size == 0); /* all checkpoints should be applied */ - if (memcmp(scratch->magic, "scratch", 8) != 0) { + if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) { secp256k1_callback_call(error_callback, "invalid scratch space"); return; } + VERIFY_CHECK(scratch->alloc_size == 0); /* all checkpoints should be applied */ memset(scratch->magic, 0, sizeof(scratch->magic)); free(scratch); } } static size_t secp256k1_scratch_checkpoint(const secp256k1_callback* error_callback, const secp256k1_scratch* scratch) { - if (memcmp(scratch->magic, "scratch", 8) != 0) { + if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) { secp256k1_callback_call(error_callback, "invalid scratch space"); return 0; } @@ -44,7 +44,7 @@ static size_t secp256k1_scratch_checkpoint(const secp256k1_callback* error_callb } static void secp256k1_scratch_apply_checkpoint(const secp256k1_callback* error_callback, secp256k1_scratch* scratch, size_t checkpoint) { - if (memcmp(scratch->magic, "scratch", 8) != 0) { + if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) { secp256k1_callback_call(error_callback, "invalid scratch space"); return; } @@ -56,10 +56,14 @@ static void secp256k1_scratch_apply_checkpoint(const secp256k1_callback* error_c } static size_t secp256k1_scratch_max_allocation(const secp256k1_callback* error_callback, const secp256k1_scratch* scratch, size_t objects) { - if (memcmp(scratch->magic, "scratch", 8) != 0) { + if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) { secp256k1_callback_call(error_callback, "invalid scratch space"); return 0; } + /* Ensure that multiplication will not wrap around */ + if (ALIGNMENT > 1 && objects > SIZE_MAX/(ALIGNMENT - 1)) { + return 0; + } if (scratch->max_size - scratch->alloc_size <= objects * (ALIGNMENT - 1)) { return 0; } @@ -68,9 +72,16 @@ static size_t secp256k1_scratch_max_allocation(const secp256k1_callback* error_c static void *secp256k1_scratch_alloc(const secp256k1_callback* error_callback, secp256k1_scratch* scratch, size_t size) { void *ret; - size = ROUND_TO_ALIGN(size); + size_t rounded_size; + + rounded_size = ROUND_TO_ALIGN(size); + /* Check that rounding did not wrap around */ + if (rounded_size < size) { + return NULL; + } + size = rounded_size; - if (memcmp(scratch->magic, "scratch", 8) != 0) { + if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) { secp256k1_callback_call(error_callback, "invalid scratch space"); return NULL; } diff --git a/src/secp256k1/src/secp256k1.c b/src/secp256k1/src/secp256k1.c index 739862cd..c9a0ee3c 100644 --- a/src/secp256k1/src/secp256k1.c +++ b/src/secp256k1/src/secp256k1.c @@ -1,14 +1,29 @@ -/********************************************************************** - * Copyright (c) 2013-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +/* This is a C project. It should not be compiled with a C++ compiler, + * and we error out if we detect one. + * + * We still want to be able to test the project with a C++ compiler + * because it is still good to know if this will lead to real trouble, so + * there is a possibility to override the check. But be warned that + * compiling with a C++ compiler is not supported. */ +#if defined(__cplusplus) && !defined(SECP256K1_CPLUSPLUS_TEST_OVERRIDE) +#error Trying to compile a C project with a C++ compiler. +#endif + +#define SECP256K1_BUILD -#include "include/secp256k1.h" -#include "include/secp256k1_preallocated.h" +#include "../include/secp256k1.h" +#include "../include/secp256k1_preallocated.h" +#include "assumptions.h" +#include "checkmem.h" #include "util.h" -#include "num_impl.h" + #include "field_impl.h" #include "scalar_impl.h" #include "group_impl.h" @@ -18,7 +33,14 @@ #include "ecdsa_impl.h" #include "eckey_impl.h" #include "hash_impl.h" +#include "int128_impl.h" #include "scratch_impl.h" +#include "selftest.h" +#include "hsort_impl.h" + +#ifdef SECP256K1_NO_BUILD +# error "secp256k1.h processed without SECP256K1_BUILD defined while building secp256k1.c" +#endif #define ARG_CHECK(cond) do { \ if (EXPECT(!(cond), 0)) { \ @@ -27,57 +49,50 @@ } \ } while(0) -#define ARG_CHECK_NO_RETURN(cond) do { \ +#define ARG_CHECK_VOID(cond) do { \ if (EXPECT(!(cond), 0)) { \ secp256k1_callback_call(&ctx->illegal_callback, #cond); \ + return; \ } \ } while(0) -#ifndef USE_EXTERNAL_DEFAULT_CALLBACKS -#include -#include -static void secp256k1_default_illegal_callback_fn(const char* str, void* data) { - (void)data; - fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str); - abort(); -} -static void secp256k1_default_error_callback_fn(const char* str, void* data) { - (void)data; - fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str); - abort(); -} -#else -void secp256k1_default_illegal_callback_fn(const char* str, void* data); -void secp256k1_default_error_callback_fn(const char* str, void* data); -#endif - -static const secp256k1_callback default_illegal_callback = { - secp256k1_default_illegal_callback_fn, - NULL -}; - -static const secp256k1_callback default_error_callback = { - secp256k1_default_error_callback_fn, - NULL -}; - +/* Note that whenever you change the context struct, you must also change the + * context_eq function. */ struct secp256k1_context_struct { - secp256k1_ecmult_context ecmult_ctx; secp256k1_ecmult_gen_context ecmult_gen_ctx; secp256k1_callback illegal_callback; secp256k1_callback error_callback; + int declassify; }; -static const secp256k1_context secp256k1_context_no_precomp_ = { - { 0 }, +static const secp256k1_context secp256k1_context_static_ = { { 0 }, { secp256k1_default_illegal_callback_fn, 0 }, - { secp256k1_default_error_callback_fn, 0 } + { secp256k1_default_error_callback_fn, 0 }, + 0 }; -const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_no_precomp_; +const secp256k1_context *secp256k1_context_static = &secp256k1_context_static_; +const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_static_; + +/* Helper function that determines if a context is proper, i.e., is not the static context or a copy thereof. + * + * This is intended for "context" functions such as secp256k1_context_clone. Functions that need specific + * features of a context should still check for these features directly. For example, a function that needs + * ecmult_gen should directly check for the existence of the ecmult_gen context. */ +static int secp256k1_context_is_proper(const secp256k1_context* ctx) { + return secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx); +} + +void secp256k1_selftest(void) { + if (!secp256k1_selftest_passes()) { + secp256k1_callback_call(&default_error_callback, "self test failed"); + } +} size_t secp256k1_context_preallocated_size(unsigned int flags) { - size_t ret = ROUND_TO_ALIGN(sizeof(secp256k1_context)); + size_t ret = sizeof(secp256k1_context); + /* A return value of 0 is reserved as an indicator for errors when we call this function internally. */ + VERIFY_CHECK(ret != 0); if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) { secp256k1_callback_call(&default_illegal_callback, @@ -85,55 +100,42 @@ size_t secp256k1_context_preallocated_size(unsigned int flags) { return 0; } - if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) { - ret += SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE; - } - if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) { - ret += SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; + if (EXPECT(!SECP256K1_CHECKMEM_RUNNING() && (flags & SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY), 0)) { + secp256k1_callback_call(&default_illegal_callback, + "Declassify flag requires running with memory checking"); + return 0; } + return ret; } size_t secp256k1_context_preallocated_clone_size(const secp256k1_context* ctx) { - size_t ret = ROUND_TO_ALIGN(sizeof(secp256k1_context)); VERIFY_CHECK(ctx != NULL); - if (secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)) { - ret += SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE; - } - if (secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)) { - ret += SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; - } - return ret; + ARG_CHECK(secp256k1_context_is_proper(ctx)); + return sizeof(secp256k1_context); } secp256k1_context* secp256k1_context_preallocated_create(void* prealloc, unsigned int flags) { - void* const base = prealloc; size_t prealloc_size; secp256k1_context* ret; - VERIFY_CHECK(prealloc != NULL); + secp256k1_selftest(); + prealloc_size = secp256k1_context_preallocated_size(flags); - ret = (secp256k1_context*)manual_alloc(&prealloc, sizeof(secp256k1_context), base, prealloc_size); + if (prealloc_size == 0) { + return NULL; + } + VERIFY_CHECK(prealloc != NULL); + ret = (secp256k1_context*)prealloc; ret->illegal_callback = default_illegal_callback; ret->error_callback = default_error_callback; - if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) { - secp256k1_callback_call(&ret->illegal_callback, - "Invalid flags"); - return NULL; - } - - secp256k1_ecmult_context_init(&ret->ecmult_ctx); - secp256k1_ecmult_gen_context_init(&ret->ecmult_gen_ctx); - - if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) { - secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx, &prealloc); - } - if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) { - secp256k1_ecmult_context_build(&ret->ecmult_ctx, &prealloc); - } + /* Flags have been checked by secp256k1_context_preallocated_size. */ + VERIFY_CHECK((flags & SECP256K1_FLAGS_TYPE_MASK) == SECP256K1_FLAGS_TYPE_CONTEXT); + secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx); + ret->declassify = !!(flags & SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY); - return (secp256k1_context*) ret; + return ret; } secp256k1_context* secp256k1_context_create(unsigned int flags) { @@ -148,16 +150,13 @@ secp256k1_context* secp256k1_context_create(unsigned int flags) { } secp256k1_context* secp256k1_context_preallocated_clone(const secp256k1_context* ctx, void* prealloc) { - size_t prealloc_size; secp256k1_context* ret; VERIFY_CHECK(ctx != NULL); ARG_CHECK(prealloc != NULL); + ARG_CHECK(secp256k1_context_is_proper(ctx)); - prealloc_size = secp256k1_context_preallocated_clone_size(ctx); ret = (secp256k1_context*)prealloc; - memcpy(ret, ctx, prealloc_size); - secp256k1_ecmult_gen_context_finalize_memcpy(&ret->ecmult_gen_ctx, &ctx->ecmult_gen_ctx); - secp256k1_ecmult_context_finalize_memcpy(&ret->ecmult_ctx, &ctx->ecmult_ctx); + *ret = *ctx; return ret; } @@ -166,6 +165,8 @@ secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) { size_t prealloc_size; VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_context_is_proper(ctx)); + prealloc_size = secp256k1_context_preallocated_clone_size(ctx); ret = (secp256k1_context*)checked_malloc(&ctx->error_callback, prealloc_size); ret = secp256k1_context_preallocated_clone(ctx, ret); @@ -173,22 +174,33 @@ secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) { } void secp256k1_context_preallocated_destroy(secp256k1_context* ctx) { - ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); - if (ctx != NULL) { - secp256k1_ecmult_context_clear(&ctx->ecmult_ctx); - secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx); + ARG_CHECK_VOID(ctx == NULL || secp256k1_context_is_proper(ctx)); + + /* Defined as noop */ + if (ctx == NULL) { + return; } + + secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx); } void secp256k1_context_destroy(secp256k1_context* ctx) { - if (ctx != NULL) { - secp256k1_context_preallocated_destroy(ctx); - free(ctx); + ARG_CHECK_VOID(ctx == NULL || secp256k1_context_is_proper(ctx)); + + /* Defined as noop */ + if (ctx == NULL) { + return; } + + secp256k1_context_preallocated_destroy(ctx); + free(ctx); } void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) { - ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); + /* We compare pointers instead of checking secp256k1_context_is_proper() here + because setting callbacks is allowed on *copies* of the static context: + it's harmless and makes testing easier. */ + ARG_CHECK_VOID(ctx != secp256k1_context_static); if (fun == NULL) { fun = secp256k1_default_illegal_callback_fn; } @@ -197,7 +209,10 @@ void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)( } void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) { - ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); + /* We compare pointers instead of checking secp256k1_context_is_proper() here + because setting callbacks is allowed on *copies* of the static context: + it's harmless and makes testing easier. */ + ARG_CHECK_VOID(ctx != secp256k1_context_static); if (fun == NULL) { fun = secp256k1_default_error_callback_fn; } @@ -205,47 +220,31 @@ void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(co ctx->error_callback.data = data; } -secp256k1_scratch_space* secp256k1_scratch_space_create(const secp256k1_context* ctx, size_t max_size) { +static secp256k1_scratch_space* secp256k1_scratch_space_create(const secp256k1_context* ctx, size_t max_size) { VERIFY_CHECK(ctx != NULL); return secp256k1_scratch_create(&ctx->error_callback, max_size); } -void secp256k1_scratch_space_destroy(const secp256k1_context *ctx, secp256k1_scratch_space* scratch) { +static void secp256k1_scratch_space_destroy(const secp256k1_context *ctx, secp256k1_scratch_space* scratch) { VERIFY_CHECK(ctx != NULL); secp256k1_scratch_destroy(&ctx->error_callback, scratch); } +/* Mark memory as no-longer-secret for the purpose of analysing constant-time behaviour + * of the software. + */ +static SECP256K1_INLINE void secp256k1_declassify(const secp256k1_context* ctx, const void *p, size_t len) { + if (EXPECT(ctx->declassify, 0)) SECP256K1_CHECKMEM_DEFINE(p, len); +} + static int secp256k1_pubkey_load(const secp256k1_context* ctx, secp256k1_ge* ge, const secp256k1_pubkey* pubkey) { - if (sizeof(secp256k1_ge_storage) == 64) { - /* When the secp256k1_ge_storage type is exactly 64 byte, use its - * representation inside secp256k1_pubkey, as conversion is very fast. - * Note that secp256k1_pubkey_save must use the same representation. */ - secp256k1_ge_storage s; - memcpy(&s, &pubkey->data[0], sizeof(s)); - secp256k1_ge_from_storage(ge, &s); - } else { - /* Otherwise, fall back to 32-byte big endian for X and Y. */ - secp256k1_fe x, y; - secp256k1_fe_set_b32(&x, pubkey->data); - secp256k1_fe_set_b32(&y, pubkey->data + 32); - secp256k1_ge_set_xy(ge, &x, &y); - } + secp256k1_ge_from_bytes(ge, pubkey->data); ARG_CHECK(!secp256k1_fe_is_zero(&ge->x)); return 1; } static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) { - if (sizeof(secp256k1_ge_storage) == 64) { - secp256k1_ge_storage s; - secp256k1_ge_to_storage(&s, ge); - memcpy(&pubkey->data[0], &s, sizeof(s)); - } else { - VERIFY_CHECK(!secp256k1_ge_is_infinity(ge)); - secp256k1_fe_normalize_var(&ge->x); - secp256k1_fe_normalize_var(&ge->y); - secp256k1_fe_get_b32(pubkey->data, &ge->x); - secp256k1_fe_get_b32(pubkey->data + 32, &ge->y); - } + secp256k1_ge_to_bytes(pubkey->data, ge); } int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pubkey, const unsigned char *input, size_t inputlen) { @@ -258,6 +257,9 @@ int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pu if (!secp256k1_eckey_pubkey_parse(&Q, input, inputlen)) { return 0; } + if (!secp256k1_ge_is_in_correct_subgroup(&Q)) { + return 0; + } secp256k1_pubkey_save(pubkey, &Q); secp256k1_ge_clear(&Q); return 1; @@ -270,7 +272,7 @@ int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *o VERIFY_CHECK(ctx != NULL); ARG_CHECK(outputlen != NULL); - ARG_CHECK(*outputlen >= ((flags & SECP256K1_FLAGS_BIT_COMPRESSION) ? 33 : 65)); + ARG_CHECK(*outputlen >= ((flags & SECP256K1_FLAGS_BIT_COMPRESSION) ? 33u : 65u)); len = *outputlen; *outputlen = 0; ARG_CHECK(output != NULL); @@ -286,6 +288,60 @@ int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *o return ret; } +int secp256k1_ec_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_pubkey* pubkey0, const secp256k1_pubkey* pubkey1) { + unsigned char out[2][33]; + const secp256k1_pubkey* pk[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + pk[0] = pubkey0; pk[1] = pubkey1; + for (i = 0; i < 2; i++) { + size_t out_size = sizeof(out[i]); + /* If the public key is NULL or invalid, ec_pubkey_serialize will call + * the illegal_callback and return 0. In that case we will serialize the + * key as all zeros which is less than any valid public key. This + * results in consistent comparisons even if NULL or invalid pubkeys are + * involved and prevents edge cases such as sorting algorithms that use + * this function and do not terminate as a result. */ + if (!secp256k1_ec_pubkey_serialize(ctx, out[i], &out_size, pk[i], SECP256K1_EC_COMPRESSED)) { + /* Note that ec_pubkey_serialize should already set the output to + * zero in that case, but it's not guaranteed by the API, we can't + * test it and writing a VERIFY_CHECK is more complex than + * explicitly memsetting (again). */ + memset(out[i], 0, sizeof(out[i])); + } + } + return secp256k1_memcmp_var(out[0], out[1], sizeof(out[0])); +} + +static int secp256k1_ec_pubkey_sort_cmp(const void* pk1, const void* pk2, void *ctx) { + return secp256k1_ec_pubkey_cmp((secp256k1_context *)ctx, + *(secp256k1_pubkey **)pk1, + *(secp256k1_pubkey **)pk2); +} + +int secp256k1_ec_pubkey_sort(const secp256k1_context* ctx, const secp256k1_pubkey **pubkeys, size_t n_pubkeys) { + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkeys != NULL); + + /* Suppress wrong warning (fixed in MSVC 19.33) */ + #if defined(_MSC_VER) && (_MSC_VER < 1933) + #pragma warning(push) + #pragma warning(disable: 4090) + #endif + + /* Casting away const is fine because neither secp256k1_hsort nor + * secp256k1_ec_pubkey_sort_cmp modify the data pointed to by the cmp_data + * argument. */ + secp256k1_hsort(pubkeys, n_pubkeys, sizeof(*pubkeys), secp256k1_ec_pubkey_sort_cmp, (void *)ctx); + + #if defined(_MSC_VER) && (_MSC_VER < 1933) + #pragma warning(pop) + #endif + + return 1; +} + static void secp256k1_ecdsa_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_ecdsa_signature* sig) { (void)ctx; if (sizeof(secp256k1_scalar) == 32) { @@ -391,21 +447,20 @@ int secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, secp256k1_ return ret; } -int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msg32, const secp256k1_pubkey *pubkey) { +int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msghash32, const secp256k1_pubkey *pubkey) { secp256k1_ge q; secp256k1_scalar r, s; secp256k1_scalar m; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - ARG_CHECK(msg32 != NULL); + ARG_CHECK(msghash32 != NULL); ARG_CHECK(sig != NULL); ARG_CHECK(pubkey != NULL); - secp256k1_scalar_set_b32(&m, msg32, NULL); + secp256k1_scalar_set_b32(&m, msghash32, NULL); secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); return (!secp256k1_scalar_is_high(&s) && secp256k1_pubkey_load(ctx, &q, pubkey) && - secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m)); + secp256k1_ecdsa_sig_verify(&r, &s, &q, &m)); } static SECP256K1_INLINE void buffer_append(unsigned char *buf, unsigned int *offset, const void *data, unsigned int len) { @@ -418,8 +473,12 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m unsigned int offset = 0; secp256k1_rfc6979_hmac_sha256 rng; unsigned int i; + secp256k1_scalar msg; + unsigned char msgmod32[32]; + secp256k1_scalar_set_b32(&msg, msg32, NULL); + secp256k1_scalar_get_b32(msgmod32, &msg); /* We feed a byte array to the PRNG as input, consisting of: - * - the private key (32 bytes) and message (32 bytes), see RFC 6979 3.2d. + * - the private key (32 bytes) and reduced message (32 bytes), see RFC 6979 3.2d. * - optionally 32 extra bytes of data, see RFC 6979 3.6 Additional Data. * - optionally 16 extra bytes with the algorithm name. * Because the arguments have distinct fixed lengths it is not possible for @@ -427,7 +486,7 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m * nonces. */ buffer_append(keydata, &offset, key32, 32); - buffer_append(keydata, &offset, msg32, 32); + buffer_append(keydata, &offset, msgmod32, 32); if (data != NULL) { buffer_append(keydata, &offset, data, 32); } @@ -435,82 +494,116 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m buffer_append(keydata, &offset, algo16, 16); } secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, offset); - memset(keydata, 0, sizeof(keydata)); for (i = 0; i <= counter; i++) { secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); } secp256k1_rfc6979_hmac_sha256_finalize(&rng); + + secp256k1_memclear(keydata, sizeof(keydata)); + secp256k1_rfc6979_hmac_sha256_clear(&rng); return 1; } const secp256k1_nonce_function secp256k1_nonce_function_rfc6979 = nonce_function_rfc6979; const secp256k1_nonce_function secp256k1_nonce_function_default = nonce_function_rfc6979; -int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { - secp256k1_scalar r, s; +static int secp256k1_ecdsa_sign_inner(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, int* recid, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { secp256k1_scalar sec, non, msg; int ret = 0; - int overflow = 0; - const unsigned char secp256k1_ecdsa_der_algo16[17] = "ECDSA+DER "; - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - ARG_CHECK(msg32 != NULL); - ARG_CHECK(signature != NULL); - ARG_CHECK(seckey != NULL); + int is_sec_valid; + unsigned char nonce32[32]; + unsigned int count = 0; + /* Default initialization here is important so we won't pass uninit values to the cmov in the end */ + *r = secp256k1_scalar_zero; + *s = secp256k1_scalar_zero; + if (recid) { + *recid = 0; + } if (noncefp == NULL) { noncefp = secp256k1_nonce_function_default; } - secp256k1_scalar_set_b32(&sec, seckey, &overflow); /* Fail if the secret key is invalid. */ - if (!overflow && !secp256k1_scalar_is_zero(&sec)) { - unsigned char nonce32[32]; - unsigned int count = 0; - secp256k1_scalar_set_b32(&msg, msg32, NULL); - while (1) { - ret = noncefp(nonce32, msg32, seckey, secp256k1_ecdsa_der_algo16, (void*)noncedata, count); - if (!ret) { + is_sec_valid = secp256k1_scalar_set_b32_seckey(&sec, seckey); + secp256k1_scalar_cmov(&sec, &secp256k1_scalar_one, !is_sec_valid); + secp256k1_scalar_set_b32(&msg, msg32, NULL); + while (1) { + int is_nonce_valid; + ret = !!noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count); + if (!ret) { + break; + } + is_nonce_valid = secp256k1_scalar_set_b32_seckey(&non, nonce32); + /* The nonce is still secret here, but it being invalid is less likely than 1:2^255. */ + secp256k1_declassify(ctx, &is_nonce_valid, sizeof(is_nonce_valid)); + if (is_nonce_valid) { + ret = secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, r, s, &sec, &msg, &non, recid); + /* The final signature is no longer a secret, nor is the fact that we were successful or not. */ + secp256k1_declassify(ctx, &ret, sizeof(ret)); + if (ret) { break; } - secp256k1_scalar_set_b32(&non, nonce32, &overflow); - if (!overflow && !secp256k1_scalar_is_zero(&non)) { - if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, NULL)) { - break; - } - } - count++; } - memset(nonce32, 0, 32); - secp256k1_scalar_clear(&msg); - secp256k1_scalar_clear(&non); - secp256k1_scalar_clear(&sec); - } - if (ret) { - secp256k1_ecdsa_signature_save(signature, &r, &s); - } else { - memset(signature, 0, sizeof(*signature)); + count++; + } + /* We don't want to declassify is_sec_valid and therefore the range of + * seckey. As a result is_sec_valid is included in ret only after ret was + * used as a branching variable. */ + ret &= is_sec_valid; + secp256k1_memclear(nonce32, sizeof(nonce32)); + secp256k1_scalar_clear(&msg); + secp256k1_scalar_clear(&non); + secp256k1_scalar_clear(&sec); + secp256k1_scalar_cmov(r, &secp256k1_scalar_zero, !ret); + secp256k1_scalar_cmov(s, &secp256k1_scalar_zero, !ret); + if (recid) { + const int zero = 0; + secp256k1_int_cmov(recid, &zero, !ret); } return ret; } +int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { + secp256k1_scalar r, s; + int ret; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(msghash32 != NULL); + ARG_CHECK(signature != NULL); + ARG_CHECK(seckey != NULL); + + ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, NULL, msghash32, seckey, noncefp, noncedata); + secp256k1_ecdsa_signature_save(signature, &r, &s); + return ret; +} + int secp256k1_ec_seckey_verify(const secp256k1_context* ctx, const unsigned char *seckey) { secp256k1_scalar sec; int ret; - int overflow; VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); - secp256k1_scalar_set_b32(&sec, seckey, &overflow); - ret = !overflow && !secp256k1_scalar_is_zero(&sec); + ret = secp256k1_scalar_set_b32_seckey(&sec, seckey); secp256k1_scalar_clear(&sec); return ret; } -int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey) { +static int secp256k1_ec_pubkey_create_helper(const secp256k1_ecmult_gen_context *ecmult_gen_ctx, secp256k1_scalar *seckey_scalar, secp256k1_ge *p, const unsigned char *seckey) { secp256k1_gej pj; + int ret; + + ret = secp256k1_scalar_set_b32_seckey(seckey_scalar, seckey); + secp256k1_scalar_cmov(seckey_scalar, &secp256k1_scalar_one, !ret); + + secp256k1_ecmult_gen(ecmult_gen_ctx, &pj, seckey_scalar); + secp256k1_ge_set_gej(p, &pj); + secp256k1_gej_clear(&pj); + return ret; +} + +int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey) { secp256k1_ge p; - secp256k1_scalar sec; - int overflow; + secp256k1_scalar seckey_scalar; int ret = 0; VERIFY_CHECK(ctx != NULL); ARG_CHECK(pubkey != NULL); @@ -518,28 +611,31 @@ int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *p ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); ARG_CHECK(seckey != NULL); - secp256k1_scalar_set_b32(&sec, seckey, &overflow); - ret = !overflow && !secp256k1_scalar_is_zero(&sec); - if (ret) { - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pj, &sec); - secp256k1_ge_set_gej(&p, &pj); - secp256k1_pubkey_save(pubkey, &p); - } - secp256k1_scalar_clear(&sec); + ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey); + secp256k1_pubkey_save(pubkey, &p); + secp256k1_memczero(pubkey, sizeof(*pubkey), !ret); + + secp256k1_scalar_clear(&seckey_scalar); return ret; } -int secp256k1_ec_privkey_negate(const secp256k1_context* ctx, unsigned char *seckey) { +int secp256k1_ec_seckey_negate(const secp256k1_context* ctx, unsigned char *seckey) { secp256k1_scalar sec; + int ret = 0; VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); - secp256k1_scalar_set_b32(&sec, seckey, NULL); + ret = secp256k1_scalar_set_b32_seckey(&sec, seckey); + secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret); secp256k1_scalar_negate(&sec, &sec); secp256k1_scalar_get_b32(seckey, &sec); secp256k1_scalar_clear(&sec); - return 1; + return ret; +} + +int secp256k1_ec_privkey_negate(const secp256k1_context* ctx, unsigned char *seckey) { + return secp256k1_ec_seckey_negate(ctx, seckey); } int secp256k1_ec_pubkey_negate(const secp256k1_context* ctx, secp256k1_pubkey *pubkey) { @@ -557,90 +653,100 @@ int secp256k1_ec_pubkey_negate(const secp256k1_context* ctx, secp256k1_pubkey *p return ret; } -int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) { + +static int secp256k1_ec_seckey_tweak_add_helper(secp256k1_scalar *sec, const unsigned char *tweak32) { secp256k1_scalar term; + int overflow = 0; + int ret = 0; + + secp256k1_scalar_set_b32(&term, tweak32, &overflow); + ret = (!overflow) & secp256k1_eckey_privkey_tweak_add(sec, &term); + secp256k1_scalar_clear(&term); + return ret; +} + +int secp256k1_ec_seckey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) { secp256k1_scalar sec; int ret = 0; - int overflow = 0; VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); - ARG_CHECK(tweak != NULL); + ARG_CHECK(tweak32 != NULL); - secp256k1_scalar_set_b32(&term, tweak, &overflow); - secp256k1_scalar_set_b32(&sec, seckey, NULL); - - ret = !overflow && secp256k1_eckey_privkey_tweak_add(&sec, &term); - memset(seckey, 0, 32); - if (ret) { - secp256k1_scalar_get_b32(seckey, &sec); - } + ret = secp256k1_scalar_set_b32_seckey(&sec, seckey); + ret &= secp256k1_ec_seckey_tweak_add_helper(&sec, tweak32); + secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret); + secp256k1_scalar_get_b32(seckey, &sec); secp256k1_scalar_clear(&sec); - secp256k1_scalar_clear(&term); return ret; } -int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) { - secp256k1_ge p; +int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) { + return secp256k1_ec_seckey_tweak_add(ctx, seckey, tweak32); +} + +static int secp256k1_ec_pubkey_tweak_add_helper(secp256k1_ge *p, const unsigned char *tweak32) { secp256k1_scalar term; - int ret = 0; int overflow = 0; + secp256k1_scalar_set_b32(&term, tweak32, &overflow); + return !overflow && secp256k1_eckey_pubkey_tweak_add(p, &term); +} + +int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) { + secp256k1_ge p; + int ret = 0; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(pubkey != NULL); - ARG_CHECK(tweak != NULL); + ARG_CHECK(tweak32 != NULL); - secp256k1_scalar_set_b32(&term, tweak, &overflow); - ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); + ret = secp256k1_pubkey_load(ctx, &p, pubkey); memset(pubkey, 0, sizeof(*pubkey)); + ret = ret && secp256k1_ec_pubkey_tweak_add_helper(&p, tweak32); if (ret) { - if (secp256k1_eckey_pubkey_tweak_add(&ctx->ecmult_ctx, &p, &term)) { - secp256k1_pubkey_save(pubkey, &p); - } else { - ret = 0; - } + secp256k1_pubkey_save(pubkey, &p); } return ret; } -int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) { +int secp256k1_ec_seckey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) { secp256k1_scalar factor; secp256k1_scalar sec; int ret = 0; int overflow = 0; VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); - ARG_CHECK(tweak != NULL); + ARG_CHECK(tweak32 != NULL); - secp256k1_scalar_set_b32(&factor, tweak, &overflow); - secp256k1_scalar_set_b32(&sec, seckey, NULL); - ret = !overflow && secp256k1_eckey_privkey_tweak_mul(&sec, &factor); - memset(seckey, 0, 32); - if (ret) { - secp256k1_scalar_get_b32(seckey, &sec); - } + secp256k1_scalar_set_b32(&factor, tweak32, &overflow); + ret = secp256k1_scalar_set_b32_seckey(&sec, seckey); + ret &= (!overflow) & secp256k1_eckey_privkey_tweak_mul(&sec, &factor); + secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret); + secp256k1_scalar_get_b32(seckey, &sec); secp256k1_scalar_clear(&sec); secp256k1_scalar_clear(&factor); return ret; } -int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) { +int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) { + return secp256k1_ec_seckey_tweak_mul(ctx, seckey, tweak32); +} + +int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) { secp256k1_ge p; secp256k1_scalar factor; int ret = 0; int overflow = 0; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(pubkey != NULL); - ARG_CHECK(tweak != NULL); + ARG_CHECK(tweak32 != NULL); - secp256k1_scalar_set_b32(&factor, tweak, &overflow); + secp256k1_scalar_set_b32(&factor, tweak32, &overflow); ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); memset(pubkey, 0, sizeof(*pubkey)); if (ret) { - if (secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor)) { + if (secp256k1_eckey_pubkey_tweak_mul(&p, &factor)) { secp256k1_pubkey_save(pubkey, &p); } else { ret = 0; @@ -652,6 +758,8 @@ int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey int secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *seed32) { VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_context_is_proper(ctx)); + if (secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)) { secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32); } @@ -663,6 +771,7 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey * secp256k1_gej Qj; secp256k1_ge Q; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(pubnonce != NULL); memset(pubnonce, 0, sizeof(*pubnonce)); ARG_CHECK(n >= 1); @@ -671,6 +780,7 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey * secp256k1_gej_set_infinity(&Qj); for (i = 0; i < n; i++) { + ARG_CHECK(pubnonces[i] != NULL); secp256k1_pubkey_load(ctx, &Q, pubnonces[i]); secp256k1_gej_add_ge(&Qj, &Qj, &Q); } @@ -682,18 +792,44 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey * return 1; } +int secp256k1_tagged_sha256(const secp256k1_context* ctx, unsigned char *hash32, const unsigned char *tag, size_t taglen, const unsigned char *msg, size_t msglen) { + secp256k1_sha256 sha; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(hash32 != NULL); + ARG_CHECK(tag != NULL); + ARG_CHECK(msg != NULL); + + secp256k1_sha256_initialize_tagged(&sha, tag, taglen); + secp256k1_sha256_write(&sha, msg, msglen); + secp256k1_sha256_finalize(&sha, hash32); + secp256k1_sha256_clear(&sha); + return 1; +} + #ifdef ENABLE_MODULE_ECDH # include "modules/ecdh/main_impl.h" #endif -#ifdef ENABLE_MODULE_MULTISET -# include "modules/multiset/main_impl.h" -#endif - #ifdef ENABLE_MODULE_RECOVERY # include "modules/recovery/main_impl.h" #endif -#ifdef ENABLE_MODULE_SCHNORR +#ifdef ENABLE_MODULE_EXTRAKEYS +# include "modules/extrakeys/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG +# include "modules/schnorrsig/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_MUSIG +# include "modules/musig/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_SCHNORR_BCH # include "modules/schnorr/main_impl.h" #endif diff --git a/src/secp256k1/src/selftest.h b/src/secp256k1/src/selftest.h new file mode 100644 index 00000000..d083ac95 --- /dev/null +++ b/src/secp256k1/src/selftest.h @@ -0,0 +1,32 @@ +/*********************************************************************** + * Copyright (c) 2020 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SELFTEST_H +#define SECP256K1_SELFTEST_H + +#include "hash.h" + +#include + +static int secp256k1_selftest_sha256(void) { + static const char *input63 = "For this sample, this 63-byte string will be used as input data"; + static const unsigned char output32[32] = { + 0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e, + 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42, + }; + unsigned char out[32]; + secp256k1_sha256 hasher; + secp256k1_sha256_initialize(&hasher); + secp256k1_sha256_write(&hasher, (const unsigned char*)input63, 63); + secp256k1_sha256_finalize(&hasher, out); + return secp256k1_memcmp_var(out, output32, 32) == 0; +} + +static int secp256k1_selftest_passes(void) { + return secp256k1_selftest_sha256(); +} + +#endif /* SECP256K1_SELFTEST_H */ diff --git a/src/secp256k1/src/testrand.h b/src/secp256k1/src/testrand.h index f1f9be07..3c1ed3d4 100644 --- a/src/secp256k1/src/testrand.h +++ b/src/secp256k1/src/testrand.h @@ -1,38 +1,48 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_TESTRAND_H #define SECP256K1_TESTRAND_H -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif +#include "util.h" /* A non-cryptographic RNG used only for test infrastructure. */ /** Seed the pseudorandom number generator for testing. */ -SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16); +SECP256K1_INLINE static void testrand_seed(const unsigned char *seed16); /** Generate a pseudorandom number in the range [0..2**32-1]. */ -static uint32_t secp256k1_rand32(void); +SECP256K1_INLINE static uint32_t testrand32(void); + +/** Generate a pseudorandom number in the range [0..2**64-1]. */ +SECP256K1_INLINE static uint64_t testrand64(void); /** Generate a pseudorandom number in the range [0..2**bits-1]. Bits must be 1 or * more. */ -static uint32_t secp256k1_rand_bits(int bits); +SECP256K1_INLINE static uint64_t testrand_bits(int bits); /** Generate a pseudorandom number in the range [0..range-1]. */ -static uint32_t secp256k1_rand_int(uint32_t range); +static uint32_t testrand_int(uint32_t range); /** Generate a pseudorandom 32-byte array. */ -static void secp256k1_rand256(unsigned char *b32); +static void testrand256(unsigned char *b32); /** Generate a pseudorandom 32-byte array with long sequences of zero and one bits. */ -static void secp256k1_rand256_test(unsigned char *b32); +static void testrand256_test(unsigned char *b32); /** Generate pseudorandom bytes with long sequences of zero and one bits. */ -static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len); +static void testrand_bytes_test(unsigned char *bytes, size_t len); + +/** Flip a single random bit in a byte array */ +static void testrand_flip(unsigned char *b, size_t len); + +/** Initialize the test RNG using (hex encoded) array up to 16 bytes, or randomly if hexseed is NULL. */ +static void testrand_init(const char* hexseed); + +/** Print final test information. */ +static void testrand_finish(void); #endif /* SECP256K1_TESTRAND_H */ diff --git a/src/secp256k1/src/testrand_impl.h b/src/secp256k1/src/testrand_impl.h index 30a91e52..b84f5730 100644 --- a/src/secp256k1/src/testrand_impl.h +++ b/src/secp256k1/src/testrand_impl.h @@ -1,100 +1,110 @@ -/********************************************************************** - * Copyright (c) 2013-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_TESTRAND_IMPL_H #define SECP256K1_TESTRAND_IMPL_H #include +#include #include #include "testrand.h" #include "hash.h" +#include "util.h" -static secp256k1_rfc6979_hmac_sha256 secp256k1_test_rng; -static uint32_t secp256k1_test_rng_precomputed[8]; -static int secp256k1_test_rng_precomputed_used = 8; -static uint64_t secp256k1_test_rng_integer; -static int secp256k1_test_rng_integer_bits_left = 0; +static uint64_t secp256k1_test_state[4]; -SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16) { - secp256k1_rfc6979_hmac_sha256_initialize(&secp256k1_test_rng, seed16, 16); -} +SECP256K1_INLINE static void testrand_seed(const unsigned char *seed16) { + static const unsigned char PREFIX[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', ' ', 't', 'e', 's', 't', ' ', 'i', 'n', 'i', 't'}; + unsigned char out32[32]; + secp256k1_sha256 hash; + int i; -SECP256K1_INLINE static uint32_t secp256k1_rand32(void) { - if (secp256k1_test_rng_precomputed_used == 8) { - secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, (unsigned char*)(&secp256k1_test_rng_precomputed[0]), sizeof(secp256k1_test_rng_precomputed)); - secp256k1_test_rng_precomputed_used = 0; + /* Use SHA256(PREFIX || seed16) as initial state. */ + secp256k1_sha256_initialize(&hash); + secp256k1_sha256_write(&hash, PREFIX, sizeof(PREFIX)); + secp256k1_sha256_write(&hash, seed16, 16); + secp256k1_sha256_finalize(&hash, out32); + for (i = 0; i < 4; ++i) { + uint64_t s = 0; + int j; + for (j = 0; j < 8; ++j) s = (s << 8) | out32[8*i + j]; + secp256k1_test_state[i] = s; } - return secp256k1_test_rng_precomputed[secp256k1_test_rng_precomputed_used++]; } -static uint32_t secp256k1_rand_bits(int bits) { - uint32_t ret; - if (secp256k1_test_rng_integer_bits_left < bits) { - secp256k1_test_rng_integer |= (((uint64_t)secp256k1_rand32()) << secp256k1_test_rng_integer_bits_left); - secp256k1_test_rng_integer_bits_left += 32; - } - ret = secp256k1_test_rng_integer; - secp256k1_test_rng_integer >>= bits; - secp256k1_test_rng_integer_bits_left -= bits; - ret &= ((~((uint32_t)0)) >> (32 - bits)); - return ret; +SECP256K1_INLINE static uint64_t rotl(const uint64_t x, int k) { + return (x << k) | (x >> (64 - k)); } -static uint32_t secp256k1_rand_int(uint32_t range) { - /* We want a uniform integer between 0 and range-1, inclusive. - * B is the smallest number such that range <= 2**B. - * two mechanisms implemented here: - * - generate B bits numbers until one below range is found, and return it - * - find the largest multiple M of range that is <= 2**(B+A), generate B+A - * bits numbers until one below M is found, and return it modulo range - * The second mechanism consumes A more bits of entropy in every iteration, - * but may need fewer iterations due to M being closer to 2**(B+A) then - * range is to 2**B. The array below (indexed by B) contains a 0 when the - * first mechanism is to be used, and the number A otherwise. - */ - static const int addbits[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0}; - uint32_t trange, mult; - int bits = 0; - if (range <= 1) { - return 0; - } - trange = range - 1; - while (trange > 0) { - trange >>= 1; - bits++; - } - if (addbits[bits]) { - bits = bits + addbits[bits]; - mult = ((~((uint32_t)0)) >> (32 - bits)) / range; - trange = range * mult; - } else { - trange = range; - mult = 1; +SECP256K1_INLINE static uint64_t testrand64(void) { + /* Test-only Xoshiro256++ RNG. See https://prng.di.unimi.it/ */ + const uint64_t result = rotl(secp256k1_test_state[0] + secp256k1_test_state[3], 23) + secp256k1_test_state[0]; + const uint64_t t = secp256k1_test_state[1] << 17; + secp256k1_test_state[2] ^= secp256k1_test_state[0]; + secp256k1_test_state[3] ^= secp256k1_test_state[1]; + secp256k1_test_state[1] ^= secp256k1_test_state[2]; + secp256k1_test_state[0] ^= secp256k1_test_state[3]; + secp256k1_test_state[2] ^= t; + secp256k1_test_state[3] = rotl(secp256k1_test_state[3], 45); + return result; +} + +SECP256K1_INLINE static uint64_t testrand_bits(int bits) { + if (bits == 0) return 0; + return testrand64() >> (64 - bits); +} + +SECP256K1_INLINE static uint32_t testrand32(void) { + return testrand64() >> 32; +} + +static uint32_t testrand_int(uint32_t range) { + uint32_t mask = 0; + uint32_t range_copy; + /* Reduce range by 1, changing its meaning to "maximum value". */ + VERIFY_CHECK(range != 0); + range -= 1; + /* Count the number of bits in range. */ + range_copy = range; + while (range_copy) { + mask = (mask << 1) | 1U; + range_copy >>= 1; } - while(1) { - uint32_t x = secp256k1_rand_bits(bits); - if (x < trange) { - return (mult == 1) ? x : (x % range); - } + /* Generation loop. */ + while (1) { + uint32_t val = testrand64() & mask; + if (val <= range) return val; } } -static void secp256k1_rand256(unsigned char *b32) { - secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, b32, 32); +static void testrand256(unsigned char *b32) { + int i; + for (i = 0; i < 4; ++i) { + uint64_t val = testrand64(); + b32[0] = val; + b32[1] = val >> 8; + b32[2] = val >> 16; + b32[3] = val >> 24; + b32[4] = val >> 32; + b32[5] = val >> 40; + b32[6] = val >> 48; + b32[7] = val >> 56; + b32 += 8; + } } -static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len) { +static void testrand_bytes_test(unsigned char *bytes, size_t len) { size_t bits = 0; memset(bytes, 0, len); while (bits < len * 8) { int now; uint32_t val; - now = 1 + (secp256k1_rand_bits(6) * secp256k1_rand_bits(5) + 16) / 31; - val = secp256k1_rand_bits(1); + now = 1 + (testrand_bits(6) * testrand_bits(5) + 16) / 31; + val = testrand_bits(1); while (now > 0 && bits < len * 8) { bytes[bits / 8] |= val << (bits % 8); now--; @@ -103,8 +113,55 @@ static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len) { } } -static void secp256k1_rand256_test(unsigned char *b32) { - secp256k1_rand_bytes_test(b32, 32); +static void testrand256_test(unsigned char *b32) { + testrand_bytes_test(b32, 32); +} + +static void testrand_flip(unsigned char *b, size_t len) { + b[testrand_int(len)] ^= (1 << testrand_bits(3)); +} + +static void testrand_init(const char* hexseed) { + unsigned char seed16[16] = {0}; + if (hexseed && strlen(hexseed) != 0) { + int pos = 0; + while (pos < 16 && hexseed[0] != 0 && hexseed[1] != 0) { + unsigned short sh; + if ((sscanf(hexseed, "%2hx", &sh)) == 1) { + seed16[pos] = sh; + } else { + break; + } + hexseed += 2; + pos++; + } + } else { + FILE *frand = fopen("/dev/urandom", "rb"); + if ((frand == NULL) || fread(&seed16, 1, sizeof(seed16), frand) != sizeof(seed16)) { + uint64_t t = time(NULL) * (uint64_t)1337; + fprintf(stderr, "WARNING: could not read 16 bytes from /dev/urandom; falling back to insecure PRNG\n"); + seed16[0] ^= t; + seed16[1] ^= t >> 8; + seed16[2] ^= t >> 16; + seed16[3] ^= t >> 24; + seed16[4] ^= t >> 32; + seed16[5] ^= t >> 40; + seed16[6] ^= t >> 48; + seed16[7] ^= t >> 56; + } + if (frand) { + fclose(frand); + } + } + + printf("random seed = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", seed16[0], seed16[1], seed16[2], seed16[3], seed16[4], seed16[5], seed16[6], seed16[7], seed16[8], seed16[9], seed16[10], seed16[11], seed16[12], seed16[13], seed16[14], seed16[15]); + testrand_seed(seed16); +} + +static void testrand_finish(void) { + unsigned char run32[32]; + testrand256(run32); + printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]); } #endif /* SECP256K1_TESTRAND_IMPL_H */ diff --git a/src/secp256k1/src/tests.c b/src/secp256k1/src/tests.c index 1384580f..78533b11 100644 --- a/src/secp256k1/src/tests.c +++ b/src/secp256k1/src/tests.c @@ -1,12 +1,8 @@ -/********************************************************************** - * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif +/*********************************************************************** + * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #include #include @@ -14,33 +10,80 @@ #include +#ifdef USE_EXTERNAL_DEFAULT_CALLBACKS + #pragma message("Ignoring USE_EXTERNAL_CALLBACKS in tests.") + #undef USE_EXTERNAL_DEFAULT_CALLBACKS +#endif +#if defined(VERIFY) && defined(COVERAGE) + #pragma message("Defining VERIFY for tests being built for coverage analysis support is meaningless.") +#endif #include "secp256k1.c" -#include "include/secp256k1.h" -#include "include/secp256k1_preallocated.h" + +#include "../include/secp256k1.h" +#include "../include/secp256k1_preallocated.h" #include "testrand_impl.h" +#include "checkmem.h" +#include "testutil.h" +#include "util.h" -#include "contrib/lax_der_parsing.c" -#include "contrib/lax_der_privatekey_parsing.c" - -#if !defined(VG_CHECK) -# if defined(VALGRIND) -# include -# define VG_UNDEF(x,y) VALGRIND_MAKE_MEM_UNDEFINED((x),(y)) -# define VG_CHECK(x,y) VALGRIND_CHECK_MEM_IS_DEFINED((x),(y)) -# else -# define VG_UNDEF(x,y) -# define VG_CHECK(x,y) -# endif +#include "../contrib/lax_der_parsing.c" +#include "../contrib/lax_der_privatekey_parsing.c" + +#include "modinv32_impl.h" +#ifdef SECP256K1_WIDEMUL_INT128 +#include "modinv64_impl.h" +#include "int128_impl.h" #endif -static int count = 64; -static secp256k1_context *ctx = NULL; +#define CONDITIONAL_TEST(cnt, nam) if (COUNT < (cnt)) { printf("Skipping %s (iteration count too low)\n", nam); } else + +static int COUNT = 16; +static secp256k1_context *CTX = NULL; +static secp256k1_context *STATIC_CTX = NULL; + +static int all_bytes_equal(const void* s, unsigned char value, size_t n) { + const unsigned char *p = s; + size_t i; -static void counting_illegal_callback_fn(const char* str, void* data) { + for (i = 0; i < n; i++) { + if (p[i] != value) { + return 0; + } + } + return 1; +} + +#define CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, callback, callback_setter) do { \ + int32_t _calls_to_callback = 0; \ + secp256k1_callback _saved_callback = ctx->callback; \ + callback_setter(ctx, counting_callback_fn, &_calls_to_callback); \ + { expr_or_stmt; } \ + ctx->callback = _saved_callback; \ + CHECK(_calls_to_callback == 1); \ +} while(0); + +/* CHECK that expr_or_stmt calls the error or illegal callback of ctx exactly once + * + * Useful for checking functions that return void (e.g., API functions that use ARG_CHECK_VOID) */ +#define CHECK_ERROR_VOID(ctx, expr_or_stmt) \ + CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, error_callback, secp256k1_context_set_error_callback) +#define CHECK_ILLEGAL_VOID(ctx, expr_or_stmt) \ + CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, illegal_callback, secp256k1_context_set_illegal_callback) + +/* CHECK that + * - expr calls the illegal callback of ctx exactly once and, + * - expr == 0 (or equivalently, expr == NULL) + * + * Useful for checking functions that return an integer or a pointer. */ +#define CHECK_ILLEGAL(ctx, expr) CHECK_ILLEGAL_VOID(ctx, CHECK((expr) == 0)) +#define CHECK_ERROR(ctx, expr) CHECK_ERROR_VOID(ctx, CHECK((expr) == 0)) + +static void counting_callback_fn(const char* str, void* data) { /* Dummy callback function that just counts. */ int32_t *p; (void)str; p = data; + CHECK(*p != INT32_MAX); (*p)++; } @@ -49,142 +92,186 @@ static void uncounting_illegal_callback_fn(const char* str, void* data) { int32_t *p; (void)str; p = data; + CHECK(*p != INT32_MIN); (*p)--; } -void random_field_element_test(secp256k1_fe *fe) { - do { - unsigned char b32[32]; - secp256k1_rand256_test(b32); - if (secp256k1_fe_set_b32(fe, b32)) { - break; +static void run_xoshiro256pp_tests(void) { + { + size_t i; + /* Sanity check that we run before the actual seeding. */ + for (i = 0; i < sizeof(secp256k1_test_state)/sizeof(secp256k1_test_state[0]); i++) { + CHECK(secp256k1_test_state[i] == 0); } - } while(1); -} - -void random_field_element_magnitude(secp256k1_fe *fe) { - secp256k1_fe zero; - int n = secp256k1_rand_int(9); - secp256k1_fe_normalize(fe); - if (n == 0) { - return; } - secp256k1_fe_clear(&zero); - secp256k1_fe_negate(&zero, &zero, 0); - secp256k1_fe_mul_int(&zero, n - 1); - secp256k1_fe_add(fe, &zero); -#ifdef VERIFY - CHECK(fe->magnitude == n); -#endif + { + int i; + unsigned char buf32[32]; + unsigned char seed16[16] = { + 'C', 'H', 'I', 'C', 'K', 'E', 'N', '!', + 'C', 'H', 'I', 'C', 'K', 'E', 'N', '!', + }; + unsigned char buf32_expected[32] = { + 0xAF, 0xCC, 0xA9, 0x16, 0xB5, 0x6C, 0xE3, 0xF0, + 0x44, 0x3F, 0x45, 0xE0, 0x47, 0xA5, 0x08, 0x36, + 0x4C, 0xCC, 0xC1, 0x18, 0xB2, 0xD8, 0x8F, 0xEF, + 0x43, 0x26, 0x15, 0x57, 0x37, 0x00, 0xEF, 0x30, + }; + testrand_seed(seed16); + for (i = 0; i < 17; i++) { + testrand256(buf32); + } + CHECK(secp256k1_memcmp_var(buf32, buf32_expected, sizeof(buf32)) == 0); + } } -void random_group_element_test(secp256k1_ge *ge) { - secp256k1_fe fe; - do { - random_field_element_test(&fe); - if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_rand_bits(1))) { - secp256k1_fe_normalize(&ge->y); - break; - } - } while(1); +static void run_selftest_tests(void) { + /* Test public API */ + secp256k1_selftest(); } -void random_group_element_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) { - secp256k1_fe z2, z3; - do { - random_field_element_test(&gej->z); - if (!secp256k1_fe_is_zero(&gej->z)) { - break; - } - } while(1); - secp256k1_fe_sqr(&z2, &gej->z); - secp256k1_fe_mul(&z3, &z2, &gej->z); - secp256k1_fe_mul(&gej->x, &ge->x, &z2); - secp256k1_fe_mul(&gej->y, &ge->y, &z3); - gej->infinity = ge->infinity; +static int ecmult_gen_context_eq(const secp256k1_ecmult_gen_context *a, const secp256k1_ecmult_gen_context *b) { + return a->built == b->built + && secp256k1_scalar_eq(&a->scalar_offset, &b->scalar_offset) + && secp256k1_ge_eq_var(&a->ge_offset, &b->ge_offset) + && secp256k1_fe_equal(&a->proj_blind, &b->proj_blind); } -void random_scalar_order_test(secp256k1_scalar *num) { - do { - unsigned char b32[32]; - int overflow = 0; - secp256k1_rand256_test(b32); - secp256k1_scalar_set_b32(num, b32, &overflow); - if (overflow || secp256k1_scalar_is_zero(num)) { - continue; - } - break; - } while(1); +static int context_eq(const secp256k1_context *a, const secp256k1_context *b) { + return a->declassify == b->declassify + && ecmult_gen_context_eq(&a->ecmult_gen_ctx, &b->ecmult_gen_ctx) + && a->illegal_callback.fn == b->illegal_callback.fn + && a->illegal_callback.data == b->illegal_callback.data + && a->error_callback.fn == b->error_callback.fn + && a->error_callback.data == b->error_callback.data; } -void random_scalar_order(secp256k1_scalar *num) { - do { - unsigned char b32[32]; - int overflow = 0; - secp256k1_rand256(b32); - secp256k1_scalar_set_b32(num, b32, &overflow); - if (overflow || secp256k1_scalar_is_zero(num)) { - continue; - } - break; - } while(1); +static void run_deprecated_context_flags_test(void) { + /* Check that a context created with any of the flags in the flags array is + * identical to the NONE context. */ + unsigned int flags[] = { SECP256K1_CONTEXT_SIGN, + SECP256K1_CONTEXT_VERIFY, + SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY }; + secp256k1_context *none_ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + int i; + for (i = 0; i < (int)(sizeof(flags)/sizeof(flags[0])); i++) { + secp256k1_context *tmp_ctx; + CHECK(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE) == secp256k1_context_preallocated_size(flags[i])); + tmp_ctx = secp256k1_context_create(flags[i]); + CHECK(context_eq(none_ctx, tmp_ctx)); + secp256k1_context_destroy(tmp_ctx); + } + secp256k1_context_destroy(none_ctx); } -void run_context_tests(int use_prealloc) { +static void run_ec_illegal_argument_tests(void) { secp256k1_pubkey pubkey; secp256k1_pubkey zero_pubkey; secp256k1_ecdsa_signature sig; unsigned char ctmp[32]; - int32_t ecount; - int32_t ecount2; - secp256k1_context *none; - secp256k1_context *sign; - secp256k1_context *vrfy; - secp256k1_context *both; - void *none_prealloc = NULL; - void *sign_prealloc = NULL; - void *vrfy_prealloc = NULL; - void *both_prealloc = NULL; + + /* Setup */ + memset(ctmp, 1, 32); + memset(&zero_pubkey, 0, sizeof(zero_pubkey)); + + /* Verify context-type checking illegal-argument errors. */ + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ec_pubkey_create(STATIC_CTX, &pubkey, ctmp)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ecdsa_sign(STATIC_CTX, &sig, ctmp, ctmp, NULL, NULL)); + SECP256K1_CHECKMEM_UNDEFINE(&sig, sizeof(sig)); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, ctmp, ctmp, NULL, NULL) == 1); + SECP256K1_CHECKMEM_CHECK(&sig, sizeof(sig)); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, ctmp, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(STATIC_CTX, &sig, ctmp, &pubkey) == 1); + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp) == 1); + CHECK(secp256k1_ec_pubkey_tweak_add(STATIC_CTX, &pubkey, ctmp) == 1); + CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, ctmp) == 1); + CHECK(secp256k1_ec_pubkey_negate(STATIC_CTX, &pubkey) == 1); + CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey) == 1); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ec_pubkey_negate(STATIC_CTX, &zero_pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_negate(CTX, NULL)); + CHECK(secp256k1_ec_pubkey_tweak_mul(STATIC_CTX, &pubkey, ctmp) == 1); +} + +static void run_static_context_tests(int use_prealloc) { + /* Check that deprecated secp256k1_context_no_precomp is an alias to secp256k1_context_static. */ + CHECK(secp256k1_context_no_precomp == secp256k1_context_static); + + { + unsigned char seed[32] = {0x17}; + + /* Randomizing secp256k1_context_static is not supported. */ + CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_randomize(STATIC_CTX, seed)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_randomize(STATIC_CTX, NULL)); + + /* Destroying or cloning secp256k1_context_static is not supported. */ + if (use_prealloc) { + CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_preallocated_clone_size(STATIC_CTX)); + { + secp256k1_context *my_static_ctx = malloc(sizeof(*STATIC_CTX)); + CHECK(my_static_ctx != NULL); + memset(my_static_ctx, 0x2a, sizeof(*my_static_ctx)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_preallocated_clone(STATIC_CTX, my_static_ctx)); + CHECK(all_bytes_equal(my_static_ctx, 0x2a, sizeof(*my_static_ctx))); + free(my_static_ctx); + } + CHECK_ILLEGAL_VOID(STATIC_CTX, secp256k1_context_preallocated_destroy(STATIC_CTX)); + } else { + CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_clone(STATIC_CTX)); + CHECK_ILLEGAL_VOID(STATIC_CTX, secp256k1_context_destroy(STATIC_CTX)); + } + } + + { + /* Verify that setting and resetting illegal callback works */ + int32_t dummy = 0; + secp256k1_context_set_illegal_callback(STATIC_CTX, counting_callback_fn, &dummy); + CHECK(STATIC_CTX->illegal_callback.fn == counting_callback_fn); + CHECK(STATIC_CTX->illegal_callback.data == &dummy); + secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL); + CHECK(STATIC_CTX->illegal_callback.fn == secp256k1_default_illegal_callback_fn); + CHECK(STATIC_CTX->illegal_callback.data == NULL); + } +} + +static void run_proper_context_tests(int use_prealloc) { + int32_t dummy = 0; + secp256k1_context *my_ctx, *my_ctx_fresh; + void *my_ctx_prealloc = NULL; + unsigned char seed[32] = {0x17}; secp256k1_gej pubj; secp256k1_ge pub; secp256k1_scalar msg, key, nonce; secp256k1_scalar sigr, sigs; + /* Fresh reference context for comparison */ + my_ctx_fresh = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + if (use_prealloc) { - none_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); - sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); - vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); - both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); - CHECK(none_prealloc != NULL); - CHECK(sign_prealloc != NULL); - CHECK(vrfy_prealloc != NULL); - CHECK(both_prealloc != NULL); - none = secp256k1_context_preallocated_create(none_prealloc, SECP256K1_CONTEXT_NONE); - sign = secp256k1_context_preallocated_create(sign_prealloc, SECP256K1_CONTEXT_SIGN); - vrfy = secp256k1_context_preallocated_create(vrfy_prealloc, SECP256K1_CONTEXT_VERIFY); - both = secp256k1_context_preallocated_create(both_prealloc, SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + my_ctx_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); + CHECK(my_ctx_prealloc != NULL); + my_ctx = secp256k1_context_preallocated_create(my_ctx_prealloc, SECP256K1_CONTEXT_NONE); } else { - none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + my_ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); } - memset(&zero_pubkey, 0, sizeof(zero_pubkey)); + /* Randomize and reset randomization */ + CHECK(context_eq(my_ctx, my_ctx_fresh)); + CHECK(secp256k1_context_randomize(my_ctx, seed) == 1); + CHECK(!context_eq(my_ctx, my_ctx_fresh)); + CHECK(secp256k1_context_randomize(my_ctx, NULL) == 1); + CHECK(context_eq(my_ctx, my_ctx_fresh)); - ecount = 0; - ecount2 = 10; - secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2); - secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, NULL); - CHECK(vrfy->error_callback.fn != sign->error_callback.fn); + /* set error callback (to a function that still aborts in case malloc() fails in secp256k1_context_clone() below) */ + secp256k1_context_set_error_callback(my_ctx, secp256k1_default_illegal_callback_fn, NULL); + CHECK(my_ctx->error_callback.fn != secp256k1_default_error_callback_fn); + CHECK(my_ctx->error_callback.fn == secp256k1_default_illegal_callback_fn); /* check if sizes for cloning are consistent */ - CHECK(secp256k1_context_preallocated_clone_size(none) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); - CHECK(secp256k1_context_preallocated_clone_size(sign) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); - CHECK(secp256k1_context_preallocated_clone_size(vrfy) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); - CHECK(secp256k1_context_preallocated_clone_size(both) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); + CHECK(secp256k1_context_preallocated_clone_size(my_ctx) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); /*** clone and destroy all of them to make sure cloning was complete ***/ { @@ -192,219 +279,188 @@ void run_context_tests(int use_prealloc) { if (use_prealloc) { /* clone into a non-preallocated context and then again into a new preallocated one. */ - ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_preallocated_destroy(ctx_tmp); - free(none_prealloc); none_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(none_prealloc != NULL); - ctx_tmp = none; none = secp256k1_context_preallocated_clone(none, none_prealloc); secp256k1_context_destroy(ctx_tmp); - - ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_preallocated_destroy(ctx_tmp); - free(sign_prealloc); sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); CHECK(sign_prealloc != NULL); - ctx_tmp = sign; sign = secp256k1_context_preallocated_clone(sign, sign_prealloc); secp256k1_context_destroy(ctx_tmp); - - ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_preallocated_destroy(ctx_tmp); - free(vrfy_prealloc); vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); CHECK(vrfy_prealloc != NULL); - ctx_tmp = vrfy; vrfy = secp256k1_context_preallocated_clone(vrfy, vrfy_prealloc); secp256k1_context_destroy(ctx_tmp); - - ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_preallocated_destroy(ctx_tmp); - free(both_prealloc); both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); CHECK(both_prealloc != NULL); - ctx_tmp = both; both = secp256k1_context_preallocated_clone(both, both_prealloc); secp256k1_context_destroy(ctx_tmp); + ctx_tmp = my_ctx; + my_ctx = secp256k1_context_clone(my_ctx); + CHECK(context_eq(ctx_tmp, my_ctx)); + secp256k1_context_preallocated_destroy(ctx_tmp); + + free(my_ctx_prealloc); + my_ctx_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); + CHECK(my_ctx_prealloc != NULL); + ctx_tmp = my_ctx; + my_ctx = secp256k1_context_preallocated_clone(my_ctx, my_ctx_prealloc); + CHECK(context_eq(ctx_tmp, my_ctx)); + secp256k1_context_destroy(ctx_tmp); } else { /* clone into a preallocated context and then again into a new non-preallocated one. */ void *prealloc_tmp; - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(prealloc_tmp != NULL); - ctx_tmp = none; none = secp256k1_context_preallocated_clone(none, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_preallocated_destroy(ctx_tmp); - free(prealloc_tmp); - - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); CHECK(prealloc_tmp != NULL); - ctx_tmp = sign; sign = secp256k1_context_preallocated_clone(sign, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_preallocated_destroy(ctx_tmp); - free(prealloc_tmp); - - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); CHECK(prealloc_tmp != NULL); - ctx_tmp = vrfy; vrfy = secp256k1_context_preallocated_clone(vrfy, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_preallocated_destroy(ctx_tmp); - free(prealloc_tmp); - - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); CHECK(prealloc_tmp != NULL); - ctx_tmp = both; both = secp256k1_context_preallocated_clone(both, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_preallocated_destroy(ctx_tmp); + prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); + CHECK(prealloc_tmp != NULL); + ctx_tmp = my_ctx; + my_ctx = secp256k1_context_preallocated_clone(my_ctx, prealloc_tmp); + CHECK(context_eq(ctx_tmp, my_ctx)); + secp256k1_context_destroy(ctx_tmp); + + ctx_tmp = my_ctx; + my_ctx = secp256k1_context_clone(my_ctx); + CHECK(context_eq(ctx_tmp, my_ctx)); + secp256k1_context_preallocated_destroy(ctx_tmp); free(prealloc_tmp); } } /* Verify that the error callback makes it across the clone. */ - CHECK(vrfy->error_callback.fn != sign->error_callback.fn); + CHECK(my_ctx->error_callback.fn != secp256k1_default_error_callback_fn); + CHECK(my_ctx->error_callback.fn == secp256k1_default_illegal_callback_fn); /* And that it resets back to default. */ - secp256k1_context_set_error_callback(sign, NULL, NULL); - CHECK(vrfy->error_callback.fn == sign->error_callback.fn); + secp256k1_context_set_error_callback(my_ctx, NULL, NULL); + CHECK(my_ctx->error_callback.fn == secp256k1_default_error_callback_fn); + CHECK(context_eq(my_ctx, my_ctx_fresh)); + + /* Verify that setting and resetting illegal callback works */ + secp256k1_context_set_illegal_callback(my_ctx, counting_callback_fn, &dummy); + CHECK(my_ctx->illegal_callback.fn == counting_callback_fn); + CHECK(my_ctx->illegal_callback.data == &dummy); + secp256k1_context_set_illegal_callback(my_ctx, NULL, NULL); + CHECK(my_ctx->illegal_callback.fn == secp256k1_default_illegal_callback_fn); + CHECK(my_ctx->illegal_callback.data == NULL); + CHECK(context_eq(my_ctx, my_ctx_fresh)); /*** attempt to use them ***/ - random_scalar_order_test(&msg); - random_scalar_order_test(&key); - secp256k1_ecmult_gen(&both->ecmult_gen_ctx, &pubj, &key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); + secp256k1_ecmult_gen(&my_ctx->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); - /* Verify context-type checking illegal-argument errors. */ - memset(ctmp, 1, 32); - CHECK(secp256k1_ec_pubkey_create(vrfy, &pubkey, ctmp) == 0); - CHECK(ecount == 1); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ecdsa_sign(vrfy, &sig, ctmp, ctmp, NULL, NULL) == 0); - CHECK(ecount == 2); - VG_UNDEF(&sig, sizeof(sig)); - CHECK(secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1); - VG_CHECK(&sig, sizeof(sig)); - CHECK(ecount2 == 10); - CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0); - CHECK(ecount2 == 11); - CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0); - CHECK(ecount2 == 12); - CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0); - CHECK(ecount2 == 13); - CHECK(secp256k1_ec_pubkey_negate(vrfy, &pubkey) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_negate(sign, &pubkey) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_negate(sign, NULL) == 0); - CHECK(ecount2 == 14); - CHECK(secp256k1_ec_pubkey_negate(vrfy, &zero_pubkey) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1); - CHECK(ecount == 3); - CHECK(secp256k1_context_randomize(vrfy, ctmp) == 1); - CHECK(ecount == 3); - CHECK(secp256k1_context_randomize(vrfy, NULL) == 1); - CHECK(ecount == 3); - CHECK(secp256k1_context_randomize(sign, ctmp) == 1); - CHECK(ecount2 == 14); - CHECK(secp256k1_context_randomize(sign, NULL) == 1); - CHECK(ecount2 == 14); - secp256k1_context_set_illegal_callback(vrfy, NULL, NULL); - secp256k1_context_set_illegal_callback(sign, NULL, NULL); - /* obtain a working nonce */ do { - random_scalar_order_test(&nonce); - } while(!secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); + testutil_random_scalar_order_test(&nonce); + } while(!secp256k1_ecdsa_sig_sign(&my_ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); /* try signing */ - CHECK(secp256k1_ecdsa_sig_sign(&sign->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); - CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); + CHECK(secp256k1_ecdsa_sig_sign(&my_ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); /* try verifying */ - CHECK(secp256k1_ecdsa_sig_verify(&vrfy->ecmult_ctx, &sigr, &sigs, &pub, &msg)); - CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sigr, &sigs, &pub, &msg)); + CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); /* cleanup */ if (use_prealloc) { - secp256k1_context_preallocated_destroy(none); - secp256k1_context_preallocated_destroy(sign); - secp256k1_context_preallocated_destroy(vrfy); - secp256k1_context_preallocated_destroy(both); - free(none_prealloc); - free(sign_prealloc); - free(vrfy_prealloc); - free(both_prealloc); + secp256k1_context_preallocated_destroy(my_ctx); + free(my_ctx_prealloc); } else { - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(vrfy); - secp256k1_context_destroy(both); + secp256k1_context_destroy(my_ctx); } + secp256k1_context_destroy(my_ctx_fresh); + /* Defined as no-op. */ secp256k1_context_destroy(NULL); secp256k1_context_preallocated_destroy(NULL); - } -void run_scratch_tests(void) { +static void run_scratch_tests(void) { const size_t adj_alloc = ((500 + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT; - int32_t ecount = 0; size_t checkpoint; size_t checkpoint_2; - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); secp256k1_scratch_space *scratch; secp256k1_scratch_space local_scratch; /* Test public API */ - secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount); - - scratch = secp256k1_scratch_space_create(none, 1000); + scratch = secp256k1_scratch_space_create(CTX, 1000); CHECK(scratch != NULL); - CHECK(ecount == 0); /* Test internal API */ - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - (ALIGNMENT - 1)); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 1) == 1000 - (ALIGNMENT - 1)); CHECK(scratch->alloc_size == 0); CHECK(scratch->alloc_size % ALIGNMENT == 0); /* Allocating 500 bytes succeeds */ - checkpoint = secp256k1_scratch_checkpoint(&none->error_callback, scratch); - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) != NULL); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000 - adj_alloc); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); + checkpoint = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch); + CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500) != NULL); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000 - adj_alloc); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); CHECK(scratch->alloc_size != 0); CHECK(scratch->alloc_size % ALIGNMENT == 0); - /* Allocating another 500 bytes fails */ - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) == NULL); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000 - adj_alloc); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); + /* Allocating another 501 bytes fails */ + CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 501) == NULL); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000 - adj_alloc); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); CHECK(scratch->alloc_size != 0); CHECK(scratch->alloc_size % ALIGNMENT == 0); /* ...but it succeeds once we apply the checkpoint to undo it */ - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint); + secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint); CHECK(scratch->alloc_size == 0); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000); - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) != NULL); + CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000); + CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500) != NULL); CHECK(scratch->alloc_size != 0); /* try to apply a bad checkpoint */ - checkpoint_2 = secp256k1_scratch_checkpoint(&none->error_callback, scratch); - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint); - CHECK(ecount == 0); - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint_2); /* checkpoint_2 is after checkpoint */ - CHECK(ecount == 1); - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, (size_t) -1); /* this is just wildly invalid */ - CHECK(ecount == 2); + checkpoint_2 = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch); + secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint); + CHECK_ERROR_VOID(CTX, secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint_2)); /* checkpoint_2 is after checkpoint */ + CHECK_ERROR_VOID(CTX, secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, (size_t) -1)); /* this is just wildly invalid */ /* try to use badly initialized scratch space */ - secp256k1_scratch_space_destroy(none, scratch); + secp256k1_scratch_space_destroy(CTX, scratch); memset(&local_scratch, 0, sizeof(local_scratch)); scratch = &local_scratch; - CHECK(!secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0)); - CHECK(ecount == 3); - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) == NULL); - CHECK(ecount == 4); - secp256k1_scratch_space_destroy(none, scratch); - CHECK(ecount == 5); + CHECK_ERROR(CTX, secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0)); + CHECK_ERROR(CTX, secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500)); + CHECK_ERROR_VOID(CTX, secp256k1_scratch_space_destroy(CTX, scratch)); + + /* Test that large integers do not wrap around in a bad way */ + scratch = secp256k1_scratch_space_create(CTX, 1000); + /* Try max allocation with a large number of objects. Only makes sense if + * ALIGNMENT is greater than 1 because otherwise the objects take no extra + * space. */ + CHECK(ALIGNMENT <= 1 || !secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, (SIZE_MAX / (ALIGNMENT - 1)) + 1)); + /* Try allocating SIZE_MAX to test wrap around which only happens if + * ALIGNMENT > 1, otherwise it returns NULL anyway because the scratch + * space is too small. */ + CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, SIZE_MAX) == NULL); + secp256k1_scratch_space_destroy(CTX, scratch); /* cleanup */ - secp256k1_scratch_space_destroy(none, NULL); /* no-op */ - secp256k1_context_destroy(none); + secp256k1_scratch_space_destroy(CTX, NULL); /* no-op */ +} + +static void run_ctz_tests(void) { + static const uint32_t b32[] = {1, 0xffffffff, 0x5e56968f, 0xe0d63129}; + static const uint64_t b64[] = {1, 0xffffffffffffffff, 0xbcd02462139b3fc3, 0x98b5f80c769693ef}; + int shift; + unsigned i; + for (i = 0; i < sizeof(b32) / sizeof(b32[0]); ++i) { + for (shift = 0; shift < 32; ++shift) { + CHECK(secp256k1_ctz32_var_debruijn(b32[i] << shift) == shift); + CHECK(secp256k1_ctz32_var(b32[i] << shift) == shift); + } + } + for (i = 0; i < sizeof(b64) / sizeof(b64[0]); ++i) { + for (shift = 0; shift < 64; ++shift) { + CHECK(secp256k1_ctz64_var_debruijn(b64[i] << shift) == shift); + CHECK(secp256k1_ctz64_var(b64[i] << shift) == shift); + } + } } /***** HASH TESTS *****/ -void run_sha256_tests(void) { - static const char *inputs[8] = { +static void run_sha256_known_output_tests(void) { + static const char *inputs[] = { "", "abc", "message digest", "secure hash algorithm", "SHA256 is considered to be safe", "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq", "For this sample, this 63-byte string will be used as input data", - "This is exactly 64 bytes long, not counting the terminating byte" + "This is exactly 64 bytes long, not counting the terminating byte", + "aaaaa", }; - static const unsigned char outputs[8][32] = { + static const unsigned int repeat[] = { + 1, 1, 1, 1, 1, 1, 1, 1, 1000000/5 + }; + static const unsigned char outputs[][32] = { {0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55}, {0xba, 0x78, 0x16, 0xbf, 0x8f, 0x01, 0xcf, 0xea, 0x41, 0x41, 0x40, 0xde, 0x5d, 0xae, 0x22, 0x23, 0xb0, 0x03, 0x61, 0xa3, 0x96, 0x17, 0x7a, 0x9c, 0xb4, 0x10, 0xff, 0x61, 0xf2, 0x00, 0x15, 0xad}, {0xf7, 0x84, 0x6f, 0x55, 0xcf, 0x23, 0xe1, 0x4e, 0xeb, 0xea, 0xb5, 0xb4, 0xe1, 0x55, 0x0c, 0xad, 0x5b, 0x50, 0x9e, 0x33, 0x48, 0xfb, 0xc4, 0xef, 0xa3, 0xa1, 0x41, 0x3d, 0x39, 0x3c, 0xb6, 0x50}, @@ -412,28 +468,158 @@ void run_sha256_tests(void) { {0x68, 0x19, 0xd9, 0x15, 0xc7, 0x3f, 0x4d, 0x1e, 0x77, 0xe4, 0xe1, 0xb5, 0x2d, 0x1f, 0xa0, 0xf9, 0xcf, 0x9b, 0xea, 0xea, 0xd3, 0x93, 0x9f, 0x15, 0x87, 0x4b, 0xd9, 0x88, 0xe2, 0xa2, 0x36, 0x30}, {0x24, 0x8d, 0x6a, 0x61, 0xd2, 0x06, 0x38, 0xb8, 0xe5, 0xc0, 0x26, 0x93, 0x0c, 0x3e, 0x60, 0x39, 0xa3, 0x3c, 0xe4, 0x59, 0x64, 0xff, 0x21, 0x67, 0xf6, 0xec, 0xed, 0xd4, 0x19, 0xdb, 0x06, 0xc1}, {0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e, 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42}, - {0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8} + {0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8}, + {0xcd, 0xc7, 0x6e, 0x5c, 0x99, 0x14, 0xfb, 0x92, 0x81, 0xa1, 0xc7, 0xe2, 0x84, 0xd7, 0x3e, 0x67, 0xf1, 0x80, 0x9a, 0x48, 0xa4, 0x97, 0x20, 0x0e, 0x04, 0x6d, 0x39, 0xcc, 0xc7, 0x11, 0x2c, 0xd0}, }; - int i; - for (i = 0; i < 8; i++) { + unsigned int i, ninputs; + + /* Skip last input vector for low iteration counts */ + ninputs = sizeof(inputs)/sizeof(inputs[0]) - 1; + CONDITIONAL_TEST(16, "run_sha256_known_output_tests 1000000") ninputs++; + + for (i = 0; i < ninputs; i++) { unsigned char out[32]; secp256k1_sha256 hasher; + unsigned int j; + /* 1. Run: simply write the input bytestrings */ + j = repeat[i]; secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i])); + while (j > 0) { + secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i])); + j--; + } secp256k1_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); + CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); + /* 2. Run: split the input bytestrings randomly before writing */ if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand_int(strlen(inputs[i])); + int split = testrand_int(strlen(inputs[i])); secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); - secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); + j = repeat[i]; + while (j > 0) { + secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); + secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); + j--; + } secp256k1_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); + CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); } } } -void run_hmac_sha256_tests(void) { +/** SHA256 counter tests + +The tests verify that the SHA256 counter doesn't wrap around at message length +2^i bytes for i = 20, ..., 33. This wide range aims at being independent of the +implementation of the counter and it catches multiple natural 32-bit overflows +(e.g., counting bits, counting bytes, counting blocks, ...). + +The test vectors have been generated using following Python script which relies +on https://github.com/cloudtools/sha256/ (v0.3 on Python v3.10.2). + +``` +from sha256 import sha256 +from copy import copy + +def midstate_c_definition(hasher): + ret = ' {{0x' + hasher.state[0].hex('_', 4).replace('_', ', 0x') + '},\n' + ret += ' {0x00}, ' + str(hex(hasher.state[1])) + '}' + return ret + +def output_c_literal(hasher): + return '{0x' + hasher.digest().hex('_').replace('_', ', 0x') + '}' + +MESSAGE = b'abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmno' +assert(len(MESSAGE) == 64) +BYTE_BOUNDARIES = [(2**b)//len(MESSAGE) - 1 for b in range(20, 34)] + +midstates = [] +digests = [] +hasher = sha256() +for i in range(BYTE_BOUNDARIES[-1] + 1): + if i in BYTE_BOUNDARIES: + midstates.append(midstate_c_definition(hasher)) + hasher_copy = copy(hasher) + hasher_copy.update(MESSAGE) + digests.append(output_c_literal(hasher_copy)) + hasher.update(MESSAGE) + +for x in midstates: + print(x + ',') + +for x in digests: + print(x + ',') +``` +*/ +static void run_sha256_counter_tests(void) { + static const char *input = "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmno"; + static const secp256k1_sha256 midstates[] = { + {{0xa2b5c8bb, 0x26c88bb3, 0x2abdc3d2, 0x9def99a3, 0xdfd21a6e, 0x41fe585b, 0x7ef2c440, 0x2b79adda}, + {0x00}, 0xfffc0}, + {{0xa0d29445, 0x9287de66, 0x76aabd71, 0x41acd765, 0x0c7528b4, 0x84e14906, 0x942faec6, 0xcc5a7b26}, + {0x00}, 0x1fffc0}, + {{0x50449526, 0xb9f1d657, 0xa0fc13e9, 0x50860f10, 0xa550c431, 0x3fbc97c1, 0x7bbb2d89, 0xdb67bac1}, + {0x00}, 0x3fffc0}, + {{0x54a6efdc, 0x46762e7b, 0x88bfe73f, 0xbbd149c7, 0x41620c43, 0x1168da7b, 0x2c5960f9, 0xeccffda6}, + {0x00}, 0x7fffc0}, + {{0x2515a8f5, 0x5faa2977, 0x3a850486, 0xac858cad, 0x7b7276ee, 0x235c0385, 0xc53a157c, 0x7cb3e69c}, + {0x00}, 0xffffc0}, + {{0x34f39828, 0x409fedb7, 0x4bbdd0fb, 0x3b643634, 0x7806bf2e, 0xe0d1b713, 0xca3f2e1e, 0xe38722c2}, + {0x00}, 0x1ffffc0}, + {{0x389ef5c5, 0x38c54167, 0x8f5d56ab, 0x582a75cc, 0x8217caef, 0xf10947dd, 0x6a1998a8, 0x048f0b8c}, + {0x00}, 0x3ffffc0}, + {{0xd6c3f394, 0x0bee43b9, 0x6783f497, 0x29fa9e21, 0x6ce491c1, 0xa81fe45e, 0x2fc3859a, 0x269012d0}, + {0x00}, 0x7ffffc0}, + {{0x6dd3c526, 0x44d88aa0, 0x806a1bae, 0xfbcc0d32, 0x9d6144f3, 0x9d2bd757, 0x9851a957, 0xb50430ad}, + {0x00}, 0xfffffc0}, + {{0x2add4021, 0xdfe8a9e6, 0xa56317c6, 0x7a15f5bb, 0x4a48aacd, 0x5d368414, 0x4f00e6f0, 0xd9355023}, + {0x00}, 0x1fffffc0}, + {{0xb66666b4, 0xdbeac32b, 0x0ea351ae, 0xcba9da46, 0x6278b874, 0x8c508e23, 0xe16ca776, 0x8465bac1}, + {0x00}, 0x3fffffc0}, + {{0xb6744789, 0x9cce87aa, 0xc4c478b7, 0xf38404d8, 0x2e38ba62, 0xa3f7019b, 0x50458fe7, 0x3047dbec}, + {0x00}, 0x7fffffc0}, + {{0x8b1297ba, 0xba261a80, 0x2ba1b0dd, 0xfbc67d6d, 0x61072c4e, 0x4b5a2a0f, 0x52872760, 0x2dfeb162}, + {0x00}, 0xffffffc0}, + {{0x24f33cf7, 0x41ad6583, 0x41c8ff5d, 0xca7ef35f, 0x50395756, 0x021b743e, 0xd7126cd7, 0xd037473a}, + {0x00}, 0x1ffffffc0}, + }; + static const unsigned char outputs[][32] = { + {0x0e, 0x83, 0xe2, 0xc9, 0x4f, 0xb2, 0xb8, 0x2b, 0x89, 0x06, 0x92, 0x78, 0x04, 0x03, 0x48, 0x5c, 0x48, 0x44, 0x67, 0x61, 0x77, 0xa4, 0xc7, 0x90, 0x9e, 0x92, 0x55, 0x10, 0x05, 0xfe, 0x39, 0x15}, + {0x1d, 0x1e, 0xd7, 0xb8, 0xa3, 0xa7, 0x8a, 0x79, 0xfd, 0xa0, 0x05, 0x08, 0x9c, 0xeb, 0xf0, 0xec, 0x67, 0x07, 0x9f, 0x8e, 0x3c, 0x0d, 0x8e, 0xf9, 0x75, 0x55, 0x13, 0xc1, 0xe8, 0x77, 0xf8, 0xbb}, + {0x66, 0x95, 0x6c, 0xc9, 0xe0, 0x39, 0x65, 0xb6, 0xb0, 0x05, 0xd1, 0xaf, 0xaf, 0xf3, 0x1d, 0xb9, 0xa4, 0xda, 0x6f, 0x20, 0xcd, 0x3a, 0xae, 0x64, 0xc2, 0xdb, 0xee, 0xf5, 0xb8, 0x8d, 0x57, 0x0e}, + {0x3c, 0xbb, 0x1c, 0x12, 0x5e, 0x17, 0xfd, 0x54, 0x90, 0x45, 0xa7, 0x7b, 0x61, 0x6c, 0x1d, 0xfe, 0xe6, 0xcc, 0x7f, 0xee, 0xcf, 0xef, 0x33, 0x35, 0x50, 0x62, 0x16, 0x70, 0x2f, 0x87, 0xc3, 0xc9}, + {0x53, 0x4d, 0xa8, 0xe7, 0x1e, 0x98, 0x73, 0x8d, 0xd9, 0xa3, 0x54, 0xa5, 0x0e, 0x59, 0x2c, 0x25, 0x43, 0x6f, 0xaa, 0xa2, 0xf5, 0x21, 0x06, 0x3e, 0xc9, 0x82, 0x06, 0x94, 0x98, 0x72, 0x9d, 0xa7}, + {0xef, 0x7e, 0xe9, 0x6b, 0xd3, 0xe5, 0xb7, 0x41, 0x4c, 0xc8, 0xd3, 0x07, 0x52, 0x9a, 0x5a, 0x8b, 0x4e, 0x1e, 0x75, 0xa4, 0x17, 0x78, 0xc8, 0x36, 0xcd, 0xf8, 0x2e, 0xd9, 0x57, 0xe3, 0xd7, 0x07}, + {0x87, 0x16, 0xfb, 0xf9, 0xa5, 0xf8, 0xc4, 0x56, 0x2b, 0x48, 0x52, 0x8e, 0x2d, 0x30, 0x85, 0xb6, 0x4c, 0x56, 0xb5, 0xd1, 0x16, 0x9c, 0xcf, 0x32, 0x95, 0xad, 0x03, 0xe8, 0x05, 0x58, 0x06, 0x76}, + {0x75, 0x03, 0x80, 0x28, 0xf2, 0xa7, 0x63, 0x22, 0x1a, 0x26, 0x9c, 0x68, 0xe0, 0x58, 0xfc, 0x73, 0xeb, 0x42, 0xf6, 0x86, 0x16, 0x24, 0x4b, 0xbc, 0x24, 0xf7, 0x02, 0xc8, 0x3d, 0x90, 0xe2, 0xb0}, + {0xdf, 0x49, 0x0f, 0x15, 0x7b, 0x7d, 0xbf, 0xe0, 0xd4, 0xcf, 0x47, 0xc0, 0x80, 0x93, 0x4a, 0x61, 0xaa, 0x03, 0x07, 0x66, 0xb3, 0x38, 0x5d, 0xc8, 0xc9, 0x07, 0x61, 0xfb, 0x97, 0x10, 0x2f, 0xd8}, + {0x77, 0x19, 0x40, 0x56, 0x41, 0xad, 0xbc, 0x59, 0xda, 0x1e, 0xc5, 0x37, 0x14, 0x63, 0x7b, 0xfb, 0x79, 0xe2, 0x7a, 0xb1, 0x55, 0x42, 0x99, 0x42, 0x56, 0xfe, 0x26, 0x9d, 0x0f, 0x7e, 0x80, 0xc6}, + {0x50, 0xe7, 0x2a, 0x0e, 0x26, 0x44, 0x2f, 0xe2, 0x55, 0x2d, 0xc3, 0x93, 0x8a, 0xc5, 0x86, 0x58, 0x22, 0x8c, 0x0c, 0xbf, 0xb1, 0xd2, 0xca, 0x87, 0x2a, 0xe4, 0x35, 0x26, 0x6f, 0xcd, 0x05, 0x5e}, + {0xe4, 0x80, 0x6f, 0xdb, 0x3d, 0x7d, 0xba, 0xde, 0x50, 0x3f, 0xea, 0x00, 0x3d, 0x46, 0x59, 0x64, 0xfd, 0x58, 0x1c, 0xa1, 0xb8, 0x7d, 0x5f, 0xac, 0x94, 0x37, 0x9e, 0xa0, 0xc0, 0x9c, 0x93, 0x8b}, + {0x2c, 0xf3, 0xa9, 0xf6, 0x15, 0x25, 0x80, 0x70, 0x76, 0x99, 0x7d, 0xf1, 0xc3, 0x2f, 0xa3, 0x31, 0xff, 0x92, 0x35, 0x2e, 0x8d, 0x04, 0x13, 0x33, 0xd8, 0x0d, 0xdb, 0x4a, 0xf6, 0x8c, 0x03, 0x34}, + {0xec, 0x12, 0x24, 0x9f, 0x35, 0xa4, 0x29, 0x8b, 0x9e, 0x4a, 0x95, 0xf8, 0x61, 0xaf, 0x61, 0xc5, 0x66, 0x55, 0x3e, 0x3f, 0x2a, 0x98, 0xea, 0x71, 0x16, 0x6b, 0x1c, 0xd9, 0xe4, 0x09, 0xd2, 0x8e}, + }; + unsigned int i; + for (i = 0; i < sizeof(midstates)/sizeof(midstates[0]); i++) { + unsigned char out[32]; + secp256k1_sha256 hasher = midstates[i]; + secp256k1_sha256_write(&hasher, (const unsigned char*)input, strlen(input)); + secp256k1_sha256_finalize(&hasher, out); + CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); + } +} + +/* Tests for the equality of two sha256 structs. This function only produces a + * correct result if an integer multiple of 64 many bytes have been written + * into the hash functions. This function is used by some module tests. */ +static void test_sha256_eq(const secp256k1_sha256 *sha1, const secp256k1_sha256 *sha2) { + /* Is buffer fully consumed? */ + CHECK((sha1->bytes & 0x3F) == 0); + + CHECK(sha1->bytes == sha2->bytes); + CHECK(secp256k1_memcmp_var(sha1->s, sha2->s, sizeof(sha1->s)) == 0); +} + +static void run_hmac_sha256_tests(void) { static const char *keys[6] = { "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", "\x4a\x65\x66\x65", @@ -465,19 +651,19 @@ void run_hmac_sha256_tests(void) { secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i])); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i])); secp256k1_hmac_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); + CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand_int(strlen(inputs[i])); + int split = testrand_int(strlen(inputs[i])); secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i])); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); secp256k1_hmac_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); + CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); } } } -void run_rfc6979_hmac_sha256_tests(void) { +static void run_rfc6979_hmac_sha256_tests(void) { static const unsigned char key1[65] = {0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x00, 0x4b, 0xf5, 0x12, 0x2f, 0x34, 0x45, 0x54, 0xc5, 0x3b, 0xde, 0x2e, 0xbb, 0x8c, 0xd2, 0xb7, 0xe3, 0xd1, 0x60, 0x0a, 0xd6, 0x31, 0xc3, 0x85, 0xa5, 0xd7, 0xcc, 0xe2, 0x3c, 0x77, 0x85, 0x45, 0x9a, 0}; static const unsigned char out1[3][32] = { {0x4f, 0xe2, 0x95, 0x25, 0xb2, 0x08, 0x68, 0x09, 0x15, 0x9a, 0xcd, 0xf0, 0x50, 0x6e, 0xfb, 0x86, 0xb0, 0xec, 0x93, 0x2c, 0x7b, 0xa4, 0x42, 0x56, 0xab, 0x32, 0x1e, 0x42, 0x1e, 0x67, 0xe9, 0xfb}, @@ -499,315 +685,1347 @@ void run_rfc6979_hmac_sha256_tests(void) { secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 64); for (i = 0; i < 3; i++) { secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32); - CHECK(memcmp(out, out1[i], 32) == 0); + CHECK(secp256k1_memcmp_var(out, out1[i], 32) == 0); } secp256k1_rfc6979_hmac_sha256_finalize(&rng); secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 65); for (i = 0; i < 3; i++) { secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32); - CHECK(memcmp(out, out1[i], 32) != 0); + CHECK(secp256k1_memcmp_var(out, out1[i], 32) != 0); } secp256k1_rfc6979_hmac_sha256_finalize(&rng); secp256k1_rfc6979_hmac_sha256_initialize(&rng, key2, 64); for (i = 0; i < 3; i++) { secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32); - CHECK(memcmp(out, out2[i], 32) == 0); + CHECK(secp256k1_memcmp_var(out, out2[i], 32) == 0); } secp256k1_rfc6979_hmac_sha256_finalize(&rng); } -/***** RANDOM TESTS *****/ - -void test_rand_bits(int rand32, int bits) { - /* (1-1/2^B)^rounds[B] < 1/10^9, so rounds is the number of iterations to - * get a false negative chance below once in a billion */ - static const unsigned int rounds[7] = {1, 30, 73, 156, 322, 653, 1316}; - /* We try multiplying the results with various odd numbers, which shouldn't - * influence the uniform distribution modulo a power of 2. */ - static const uint32_t mults[6] = {1, 3, 21, 289, 0x9999, 0x80402011}; - /* We only select up to 6 bits from the output to analyse */ - unsigned int usebits = bits > 6 ? 6 : bits; - unsigned int maxshift = bits - usebits; - /* For each of the maxshift+1 usebits-bit sequences inside a bits-bit - number, track all observed outcomes, one per bit in a uint64_t. */ - uint64_t x[6][27] = {{0}}; - unsigned int i, shift, m; - /* Multiply the output of all rand calls with the odd number m, which - should not change the uniformity of its distribution. */ - for (i = 0; i < rounds[usebits]; i++) { - uint32_t r = (rand32 ? secp256k1_rand32() : secp256k1_rand_bits(bits)); - CHECK((((uint64_t)r) >> bits) == 0); - for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { - uint32_t rm = r * mults[m]; - for (shift = 0; shift <= maxshift; shift++) { - x[m][shift] |= (((uint64_t)1) << ((rm >> shift) & ((1 << usebits) - 1))); +static void run_tagged_sha256_tests(void) { + unsigned char tag[32] = { 0 }; + unsigned char msg[32] = { 0 }; + unsigned char hash32[32]; + unsigned char hash_expected[32] = { + 0x04, 0x7A, 0x5E, 0x17, 0xB5, 0x86, 0x47, 0xC1, + 0x3C, 0xC6, 0xEB, 0xC0, 0xAA, 0x58, 0x3B, 0x62, + 0xFB, 0x16, 0x43, 0x32, 0x68, 0x77, 0x40, 0x6C, + 0xE2, 0x76, 0x55, 0x9A, 0x3B, 0xDE, 0x55, 0xB3 + }; + + /* API test */ + CHECK(secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1); + CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, NULL, tag, sizeof(tag), msg, sizeof(msg))); + CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, hash32, NULL, 0, msg, sizeof(msg))); + CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), NULL, 0)); + + /* Static test vector */ + memcpy(tag, "tag", 3); + memcpy(msg, "msg", 3); + CHECK(secp256k1_tagged_sha256(CTX, hash32, tag, 3, msg, 3) == 1); + CHECK(secp256k1_memcmp_var(hash32, hash_expected, sizeof(hash32)) == 0); +} + +/***** MODINV TESTS *****/ + +/* Compute the modular inverse of (odd) x mod 2^64. */ +static uint64_t modinv2p64(uint64_t x) { + /* If w = 1/x mod 2^(2^L), then w*(2 - w*x) = 1/x mod 2^(2^(L+1)). See + * Hacker's Delight second edition, Henry S. Warren, Jr., pages 245-247 for + * why. Start with L=0, for which it is true for every odd x that + * 1/x=1 mod 2. Iterating 6 times gives us 1/x mod 2^64. */ + int l; + uint64_t w = 1; + CHECK(x & 1); + for (l = 0; l < 6; ++l) w *= (2 - w*x); + return w; +} + + +/* compute out = (a*b) mod m; if b=NULL, treat b=1; if m=NULL, treat m=infinity. + * + * Out is a 512-bit number (represented as 32 uint16_t's in LE order). The other + * arguments are 256-bit numbers (represented as 16 uint16_t's in LE order). */ +static void mulmod256(uint16_t* out, const uint16_t* a, const uint16_t* b, const uint16_t* m) { + uint16_t mul[32]; + uint64_t c = 0; + int i, j; + int m_bitlen = 0; + int mul_bitlen = 0; + + if (b != NULL) { + /* Compute the product of a and b, and put it in mul. */ + for (i = 0; i < 32; ++i) { + for (j = i <= 15 ? 0 : i - 15; j <= i && j <= 15; j++) { + c += (uint64_t)a[j] * b[i - j]; + } + mul[i] = c & 0xFFFF; + c >>= 16; + } + CHECK(c == 0); + + /* compute the highest set bit in mul */ + for (i = 511; i >= 0; --i) { + if ((mul[i >> 4] >> (i & 15)) & 1) { + mul_bitlen = i; + break; + } + } + } else { + /* if b==NULL, set mul=a. */ + memcpy(mul, a, 32); + memset(mul + 16, 0, 32); + /* compute the highest set bit in mul */ + for (i = 255; i >= 0; --i) { + if ((mul[i >> 4] >> (i & 15)) & 1) { + mul_bitlen = i; + break; } } } - for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { - for (shift = 0; shift <= maxshift; shift++) { - /* Test that the lower usebits bits of x[shift] are 1 */ - CHECK(((~x[m][shift]) << (64 - (1 << usebits))) == 0); + + if (m) { + /* Compute the highest set bit in m. */ + for (i = 255; i >= 0; --i) { + if ((m[i >> 4] >> (i & 15)) & 1) { + m_bitlen = i; + break; + } + } + + /* Try do mul -= m<= 0; --i) { + uint16_t mul2[32]; + int64_t cs; + + /* Compute mul2 = mul - m<= 0 && bitpos < 256) { + sub |= ((m[bitpos >> 4] >> (bitpos & 15)) & 1) << p; + } + } + /* Add mul[j]-sub to accumulator, and shift bottom 16 bits out to mul2[j]. */ + cs += mul[j]; + cs -= sub; + mul2[j] = (cs & 0xFFFF); + cs >>= 16; + } + /* If remainder of subtraction is 0, set mul = mul2. */ + if (cs == 0) { + memcpy(mul, mul2, sizeof(mul)); + } + } + /* Sanity check: test that all limbs higher than m's highest are zero */ + for (i = (m_bitlen >> 4) + 1; i < 32; ++i) { + CHECK(mul[i] == 0); } } + memcpy(out, mul, 32); } -/* Subrange must be a whole divisor of range, and at most 64 */ -void test_rand_int(uint32_t range, uint32_t subrange) { - /* (1-1/subrange)^rounds < 1/10^9 */ - int rounds = (subrange * 2073) / 100; +/* Convert a 256-bit number represented as 16 uint16_t's to signed30 notation. */ +static void uint16_to_signed30(secp256k1_modinv32_signed30* out, const uint16_t* in) { int i; - uint64_t x = 0; - CHECK((range % subrange) == 0); - for (i = 0; i < rounds; i++) { - uint32_t r = secp256k1_rand_int(range); - CHECK(r < range); - r = r % subrange; - x |= (((uint64_t)1) << r); + memset(out->v, 0, sizeof(out->v)); + for (i = 0; i < 256; ++i) { + out->v[i / 30] |= (int32_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 30); } - /* Test that the lower subrange bits of x are 1. */ - CHECK(((~x) << (64 - subrange)) == 0); } -void run_rand_bits(void) { - size_t b; - test_rand_bits(1, 32); - for (b = 1; b <= 32; b++) { - test_rand_bits(0, b); +/* Convert a 256-bit number in signed30 notation to a representation as 16 uint16_t's. */ +static void signed30_to_uint16(uint16_t* out, const secp256k1_modinv32_signed30* in) { + int i; + memset(out, 0, 32); + for (i = 0; i < 256; ++i) { + out[i >> 4] |= (((in->v[i / 30]) >> (i % 30)) & 1) << (i & 15); } } -void run_rand_int(void) { - static const uint32_t ms[] = {1, 3, 17, 1000, 13771, 999999, 33554432}; - static const uint32_t ss[] = {1, 3, 6, 9, 13, 31, 64}; - unsigned int m, s; - for (m = 0; m < sizeof(ms) / sizeof(ms[0]); m++) { - for (s = 0; s < sizeof(ss) / sizeof(ss[0]); s++) { - test_rand_int(ms[m] * ss[s], ss[s]); +/* Randomly mutate the sign of limbs in signed30 representation, without changing the value. */ +static void mutate_sign_signed30(secp256k1_modinv32_signed30* x) { + int i; + for (i = 0; i < 16; ++i) { + int pos = testrand_bits(3); + if (x->v[pos] > 0 && x->v[pos + 1] <= 0x3fffffff) { + x->v[pos] -= 0x40000000; + x->v[pos + 1] += 1; + } else if (x->v[pos] < 0 && x->v[pos + 1] >= 0x3fffffff) { + x->v[pos] += 0x40000000; + x->v[pos + 1] -= 1; } } } -/***** NUM TESTS *****/ - -#ifndef USE_NUM_NONE -void random_num_negate(secp256k1_num *num) { - if (secp256k1_rand_bits(1)) { - secp256k1_num_negate(num); +/* Test secp256k1_modinv32{_var}, using inputs in 16-bit limb format, and returning inverse. */ +static void test_modinv32_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) { + uint16_t tmp[16]; + secp256k1_modinv32_signed30 x; + secp256k1_modinv32_modinfo m; + int i, vartime, nonzero; + + uint16_to_signed30(&x, in); + nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4] | x.v[5] | x.v[6] | x.v[7] | x.v[8]) != 0; + uint16_to_signed30(&m.modulus, mod); + + /* compute 1/modulus mod 2^30 */ + m.modulus_inv30 = modinv2p64(m.modulus.v[0]) & 0x3fffffff; + CHECK(((m.modulus_inv30 * m.modulus.v[0]) & 0x3fffffff) == 1); + + /* Test secp256k1_jacobi32_maybe_var. */ + if (nonzero) { + int jac; + uint16_t sqr[16], negone[16]; + mulmod256(sqr, in, in, mod); + uint16_to_signed30(&x, sqr); + /* Compute jacobi symbol of in^2, which must be 1 (or uncomputable). */ + jac = secp256k1_jacobi32_maybe_var(&x, &m); + CHECK(jac == 0 || jac == 1); + /* Then compute the jacobi symbol of -(in^2). x and -x have opposite + * jacobi symbols if and only if (mod % 4) == 3. */ + negone[0] = mod[0] - 1; + for (i = 1; i < 16; ++i) negone[i] = mod[i]; + mulmod256(sqr, sqr, negone, mod); + uint16_to_signed30(&x, sqr); + jac = secp256k1_jacobi32_maybe_var(&x, &m); + CHECK(jac == 0 || jac == 1 - (mod[0] & 2)); + } + + uint16_to_signed30(&x, in); + mutate_sign_signed30(&m.modulus); + for (vartime = 0; vartime < 2; ++vartime) { + /* compute inverse */ + (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m); + + /* produce output */ + signed30_to_uint16(out, &x); + + /* check if the inverse times the input is 1 (mod m), unless x is 0. */ + mulmod256(tmp, out, in, mod); + CHECK(tmp[0] == nonzero); + for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0); + + /* invert again */ + (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m); + + /* check if the result is equal to the input */ + signed30_to_uint16(tmp, &x); + for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]); } } -void random_num_order_test(secp256k1_num *num) { - secp256k1_scalar sc; - random_scalar_order_test(&sc); - secp256k1_scalar_get_num(num, &sc); +#ifdef SECP256K1_WIDEMUL_INT128 +/* Convert a 256-bit number represented as 16 uint16_t's to signed62 notation. */ +static void uint16_to_signed62(secp256k1_modinv64_signed62* out, const uint16_t* in) { + int i; + memset(out->v, 0, sizeof(out->v)); + for (i = 0; i < 256; ++i) { + out->v[i / 62] |= (int64_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 62); + } } -void random_num_order(secp256k1_num *num) { - secp256k1_scalar sc; - random_scalar_order(&sc); - secp256k1_scalar_get_num(num, &sc); -} - -void test_num_negate(void) { - secp256k1_num n1; - secp256k1_num n2; - random_num_order_test(&n1); /* n1 = R */ - random_num_negate(&n1); - secp256k1_num_copy(&n2, &n1); /* n2 = R */ - secp256k1_num_sub(&n1, &n2, &n1); /* n1 = n2-n1 = 0 */ - CHECK(secp256k1_num_is_zero(&n1)); - secp256k1_num_copy(&n1, &n2); /* n1 = R */ - secp256k1_num_negate(&n1); /* n1 = -R */ - CHECK(!secp256k1_num_is_zero(&n1)); - secp256k1_num_add(&n1, &n2, &n1); /* n1 = n2+n1 = 0 */ - CHECK(secp256k1_num_is_zero(&n1)); - secp256k1_num_copy(&n1, &n2); /* n1 = R */ - secp256k1_num_negate(&n1); /* n1 = -R */ - CHECK(secp256k1_num_is_neg(&n1) != secp256k1_num_is_neg(&n2)); - secp256k1_num_negate(&n1); /* n1 = R */ - CHECK(secp256k1_num_eq(&n1, &n2)); -} - -void test_num_add_sub(void) { +/* Convert a 256-bit number in signed62 notation to a representation as 16 uint16_t's. */ +static void signed62_to_uint16(uint16_t* out, const secp256k1_modinv64_signed62* in) { int i; - secp256k1_scalar s; - secp256k1_num n1; - secp256k1_num n2; - secp256k1_num n1p2, n2p1, n1m2, n2m1; - random_num_order_test(&n1); /* n1 = R1 */ - if (secp256k1_rand_bits(1)) { - random_num_negate(&n1); - } - random_num_order_test(&n2); /* n2 = R2 */ - if (secp256k1_rand_bits(1)) { - random_num_negate(&n2); - } - secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */ - secp256k1_num_add(&n2p1, &n2, &n1); /* n2p1 = R2 + R1 */ - secp256k1_num_sub(&n1m2, &n1, &n2); /* n1m2 = R1 - R2 */ - secp256k1_num_sub(&n2m1, &n2, &n1); /* n2m1 = R2 - R1 */ - CHECK(secp256k1_num_eq(&n1p2, &n2p1)); - CHECK(!secp256k1_num_eq(&n1p2, &n1m2)); - secp256k1_num_negate(&n2m1); /* n2m1 = -R2 + R1 */ - CHECK(secp256k1_num_eq(&n2m1, &n1m2)); - CHECK(!secp256k1_num_eq(&n2m1, &n1)); - secp256k1_num_add(&n2m1, &n2m1, &n2); /* n2m1 = -R2 + R1 + R2 = R1 */ - CHECK(secp256k1_num_eq(&n2m1, &n1)); - CHECK(!secp256k1_num_eq(&n2p1, &n1)); - secp256k1_num_sub(&n2p1, &n2p1, &n2); /* n2p1 = R2 + R1 - R2 = R1 */ - CHECK(secp256k1_num_eq(&n2p1, &n1)); - - /* check is_one */ - secp256k1_scalar_set_int(&s, 1); - secp256k1_scalar_get_num(&n1, &s); - CHECK(secp256k1_num_is_one(&n1)); - /* check that 2^n + 1 is never 1 */ - secp256k1_scalar_get_num(&n2, &s); - for (i = 0; i < 250; ++i) { - secp256k1_num_add(&n1, &n1, &n1); /* n1 *= 2 */ - secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = n1 + 1 */ - CHECK(!secp256k1_num_is_one(&n1p2)); - } -} - -void test_num_mod(void) { + memset(out, 0, 32); + for (i = 0; i < 256; ++i) { + out[i >> 4] |= (((in->v[i / 62]) >> (i % 62)) & 1) << (i & 15); + } +} + +/* Randomly mutate the sign of limbs in signed62 representation, without changing the value. */ +static void mutate_sign_signed62(secp256k1_modinv64_signed62* x) { + static const int64_t M62 = (int64_t)(UINT64_MAX >> 2); int i; - secp256k1_scalar s; - secp256k1_num order, n; - - /* check that 0 mod anything is 0 */ - random_scalar_order_test(&s); - secp256k1_scalar_get_num(&order, &s); - secp256k1_scalar_set_int(&s, 0); - secp256k1_scalar_get_num(&n, &s); - secp256k1_num_mod(&n, &order); - CHECK(secp256k1_num_is_zero(&n)); - - /* check that anything mod 1 is 0 */ - secp256k1_scalar_set_int(&s, 1); - secp256k1_scalar_get_num(&order, &s); - secp256k1_scalar_get_num(&n, &s); - secp256k1_num_mod(&n, &order); - CHECK(secp256k1_num_is_zero(&n)); - - /* check that increasing the number past 2^256 does not break this */ - random_scalar_order_test(&s); - secp256k1_scalar_get_num(&n, &s); - /* multiply by 2^8, which'll test this case with high probability */ for (i = 0; i < 8; ++i) { - secp256k1_num_add(&n, &n, &n); + int pos = testrand_bits(2); + if (x->v[pos] > 0 && x->v[pos + 1] <= M62) { + x->v[pos] -= (M62 + 1); + x->v[pos + 1] += 1; + } else if (x->v[pos] < 0 && x->v[pos + 1] >= -M62) { + x->v[pos] += (M62 + 1); + x->v[pos + 1] -= 1; + } } - secp256k1_num_mod(&n, &order); - CHECK(secp256k1_num_is_zero(&n)); } -void test_num_jacobi(void) { - secp256k1_scalar sqr; - secp256k1_scalar small; - secp256k1_scalar five; /* five is not a quadratic residue */ - secp256k1_num order, n; +/* Test secp256k1_modinv64{_var}, using inputs in 16-bit limb format, and returning inverse. */ +static void test_modinv64_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) { + static const int64_t M62 = (int64_t)(UINT64_MAX >> 2); + uint16_t tmp[16]; + secp256k1_modinv64_signed62 x; + secp256k1_modinv64_modinfo m; + int i, vartime, nonzero; + + uint16_to_signed62(&x, in); + nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4]) != 0; + uint16_to_signed62(&m.modulus, mod); + + /* compute 1/modulus mod 2^62 */ + m.modulus_inv62 = modinv2p64(m.modulus.v[0]) & M62; + CHECK(((m.modulus_inv62 * m.modulus.v[0]) & M62) == 1); + + /* Test secp256k1_jacobi64_maybe_var. */ + if (nonzero) { + int jac; + uint16_t sqr[16], negone[16]; + mulmod256(sqr, in, in, mod); + uint16_to_signed62(&x, sqr); + /* Compute jacobi symbol of in^2, which must be 1 (or uncomputable). */ + jac = secp256k1_jacobi64_maybe_var(&x, &m); + CHECK(jac == 0 || jac == 1); + /* Then compute the jacobi symbol of -(in^2). x and -x have opposite + * jacobi symbols if and only if (mod % 4) == 3. */ + negone[0] = mod[0] - 1; + for (i = 1; i < 16; ++i) negone[i] = mod[i]; + mulmod256(sqr, sqr, negone, mod); + uint16_to_signed62(&x, sqr); + jac = secp256k1_jacobi64_maybe_var(&x, &m); + CHECK(jac == 0 || jac == 1 - (mod[0] & 2)); + } + + uint16_to_signed62(&x, in); + mutate_sign_signed62(&m.modulus); + for (vartime = 0; vartime < 2; ++vartime) { + /* compute inverse */ + (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m); + + /* produce output */ + signed62_to_uint16(out, &x); + + /* check if the inverse times the input is 1 (mod m), unless x is 0. */ + mulmod256(tmp, out, in, mod); + CHECK(tmp[0] == nonzero); + for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0); + + /* invert again */ + (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m); + + /* check if the result is equal to the input */ + signed62_to_uint16(tmp, &x); + for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]); + } +} +#endif + +/* test if a and b are coprime */ +static int coprime(const uint16_t* a, const uint16_t* b) { + uint16_t x[16], y[16], t[16]; int i; - /* squares mod 5 are 1, 4 */ - const int jacobi5[10] = { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1 }; + int iszero; + memcpy(x, a, 32); + memcpy(y, b, 32); + + /* simple gcd loop: while x!=0, (x,y)=(y%x,x) */ + while (1) { + iszero = 1; + for (i = 0; i < 16; ++i) { + if (x[i] != 0) { + iszero = 0; + break; + } + } + if (iszero) break; + mulmod256(t, y, NULL, x); + memcpy(y, x, 32); + memcpy(x, t, 32); + } - /* check some small values with 5 as the order */ - secp256k1_scalar_set_int(&five, 5); - secp256k1_scalar_get_num(&order, &five); - for (i = 0; i < 10; ++i) { - secp256k1_scalar_set_int(&small, i); - secp256k1_scalar_get_num(&n, &small); - CHECK(secp256k1_num_jacobi(&n, &order) == jacobi5[i]); + /* return whether y=1 */ + if (y[0] != 1) return 0; + for (i = 1; i < 16; ++i) { + if (y[i] != 0) return 0; } + return 1; +} - /** test large values with 5 as group order */ - secp256k1_scalar_get_num(&order, &five); - /* we first need a scalar which is not a multiple of 5 */ - do { - secp256k1_num fiven; - random_scalar_order_test(&sqr); - secp256k1_scalar_get_num(&fiven, &five); - secp256k1_scalar_get_num(&n, &sqr); - secp256k1_num_mod(&n, &fiven); - } while (secp256k1_num_is_zero(&n)); - /* next force it to be a residue. 2 is a nonresidue mod 5 so we can - * just multiply by two, i.e. add the number to itself */ - if (secp256k1_num_jacobi(&n, &order) == -1) { - secp256k1_num_add(&n, &n, &n); - } - - /* test residue */ - CHECK(secp256k1_num_jacobi(&n, &order) == 1); - /* test nonresidue */ - secp256k1_num_add(&n, &n, &n); - CHECK(secp256k1_num_jacobi(&n, &order) == -1); - - /** test with secp group order as order */ - secp256k1_scalar_order_get_num(&order); - random_scalar_order_test(&sqr); - secp256k1_scalar_sqr(&sqr, &sqr); - /* test residue */ - secp256k1_scalar_get_num(&n, &sqr); - CHECK(secp256k1_num_jacobi(&n, &order) == 1); - /* test nonresidue */ - secp256k1_scalar_mul(&sqr, &sqr, &five); - secp256k1_scalar_get_num(&n, &sqr); - CHECK(secp256k1_num_jacobi(&n, &order) == -1); - /* test multiple of the order*/ - CHECK(secp256k1_num_jacobi(&order, &order) == 0); - - /* check one less than the order */ - secp256k1_scalar_set_int(&small, 1); - secp256k1_scalar_get_num(&n, &small); - secp256k1_num_sub(&n, &order, &n); - CHECK(secp256k1_num_jacobi(&n, &order) == 1); /* sage confirms this is 1 */ -} - -void run_num_smalltests(void) { +static void run_modinv_tests(void) { + /* Fixed test cases. Each tuple is (input, modulus, output), each as 16x16 bits in LE order. */ + static const uint16_t CASES[][3][16] = { + /* Test cases triggering edge cases in divsteps */ + + /* Test case known to need 713 divsteps */ + {{0x1513, 0x5389, 0x54e9, 0x2798, 0x1957, 0x66a0, 0x8057, 0x3477, + 0x7784, 0x1052, 0x326a, 0x9331, 0x6506, 0xa95c, 0x91f3, 0xfb5e}, + {0x2bdd, 0x8df4, 0xcc61, 0x481f, 0xdae5, 0x5ca7, 0xf43b, 0x7d54, + 0x13d6, 0x469b, 0x2294, 0x20f4, 0xb2a4, 0xa2d1, 0x3ff1, 0xfd4b}, + {0xffd8, 0xd9a0, 0x456e, 0x81bb, 0xbabd, 0x6cea, 0x6dbd, 0x73ab, + 0xbb94, 0x3d3c, 0xdf08, 0x31c4, 0x3e32, 0xc179, 0x2486, 0xb86b}}, + /* Test case known to need 589 divsteps, reaching delta=-140 and + delta=141. */ + {{0x3fb1, 0x903b, 0x4eb7, 0x4813, 0xd863, 0x26bf, 0xd89f, 0xa8a9, + 0x02fe, 0x57c6, 0x554a, 0x4eab, 0x165e, 0x3d61, 0xee1e, 0x456c}, + {0x9295, 0x823b, 0x5c1f, 0x5386, 0x48e0, 0x02ff, 0x4c2a, 0xa2da, + 0xe58f, 0x967c, 0xc97e, 0x3f5a, 0x69fb, 0x52d9, 0x0a86, 0xb4a3}, + {0x3d30, 0xb893, 0xa809, 0xa7a8, 0x26f5, 0x5b42, 0x55be, 0xf4d0, + 0x12c2, 0x7e6a, 0xe41a, 0x90c7, 0xebfa, 0xf920, 0x304e, 0x1419}}, + /* Test case known to need 650 divsteps, and doing 65 consecutive (f,g/2) steps. */ + {{0x8583, 0x5058, 0xbeae, 0xeb69, 0x48bc, 0x52bb, 0x6a9d, 0xcc94, + 0x2a21, 0x87d5, 0x5b0d, 0x42f6, 0x5b8a, 0x2214, 0xe9d6, 0xa040}, + {0x7531, 0x27cb, 0x7e53, 0xb739, 0x6a5f, 0x83f5, 0xa45c, 0xcb1d, + 0x8a87, 0x1c9c, 0x51d7, 0x851c, 0xb9d8, 0x1fbe, 0xc241, 0xd4a3}, + {0xcdb4, 0x275c, 0x7d22, 0xa906, 0x0173, 0xc054, 0x7fdf, 0x5005, + 0x7fb8, 0x9059, 0xdf51, 0x99df, 0x2654, 0x8f6e, 0x070f, 0xb347}}, + /* example needing 713 divsteps; delta=-2..3 */ + {{0xe2e9, 0xee91, 0x4345, 0xe5ad, 0xf3ec, 0x8f42, 0x0364, 0xd5c9, + 0xff49, 0xbef5, 0x4544, 0x4c7c, 0xae4b, 0xfd9d, 0xb35b, 0xda9d}, + {0x36e7, 0x8cca, 0x2ed0, 0x47b3, 0xaca4, 0xb374, 0x7d2a, 0x0772, + 0x6bdb, 0xe0a7, 0x900b, 0xfe10, 0x788c, 0x6f22, 0xd909, 0xf298}, + {0xd8c6, 0xba39, 0x13ed, 0x198c, 0x16c8, 0xb837, 0xa5f2, 0x9797, + 0x0113, 0x882a, 0x15b5, 0x324c, 0xabee, 0xe465, 0x8170, 0x85ac}}, + /* example needing 713 divsteps; delta=-2..3 */ + {{0xd5b7, 0x2966, 0x040e, 0xf59a, 0x0387, 0xd96d, 0xbfbc, 0xd850, + 0x2d96, 0x872a, 0xad81, 0xc03c, 0xbb39, 0xb7fa, 0xd904, 0xef78}, + {0x6279, 0x4314, 0xfdd3, 0x1568, 0x0982, 0x4d13, 0x625f, 0x010c, + 0x22b1, 0x0cc3, 0xf22d, 0x5710, 0x1109, 0x5751, 0x7714, 0xfcf2}, + {0xdb13, 0x5817, 0x232e, 0xe456, 0xbbbc, 0x6fbe, 0x4572, 0xa358, + 0xc76d, 0x928e, 0x0162, 0x5314, 0x8325, 0x5683, 0xe21b, 0xda88}}, + /* example needing 713 divsteps; delta=-2..3 */ + {{0xa06f, 0x71ee, 0x3bac, 0x9ebb, 0xdeaa, 0x09ed, 0x1cf7, 0x9ec9, + 0x7158, 0x8b72, 0x5d53, 0x5479, 0x5c75, 0xbb66, 0x9125, 0xeccc}, + {0x2941, 0xd46c, 0x3cd4, 0x4a9d, 0x5c4a, 0x256b, 0xbd6c, 0x9b8e, + 0x8fe0, 0x8a14, 0xffe8, 0x2496, 0x618d, 0xa9d7, 0x5018, 0xfb29}, + {0x437c, 0xbd60, 0x7590, 0x94bb, 0x0095, 0xd35e, 0xd4fe, 0xd6da, + 0x0d4e, 0x5342, 0x4cd2, 0x169b, 0x661c, 0x1380, 0xed2d, 0x85c1}}, + /* example reaching delta=-64..65; 661 divsteps */ + {{0xfde4, 0x68d6, 0x6c48, 0x7f77, 0x1c78, 0x96de, 0x2fd9, 0xa6c2, + 0xbbb5, 0xd319, 0x69cf, 0xd4b3, 0xa321, 0xcda0, 0x172e, 0xe530}, + {0xd9e3, 0x0f60, 0x3d86, 0xeeab, 0x25ee, 0x9582, 0x2d50, 0xfe16, + 0xd4e2, 0xe3ba, 0x94e2, 0x9833, 0x6c5e, 0x8982, 0x13b6, 0xe598}, + {0xe675, 0xf55a, 0x10f6, 0xabde, 0x5113, 0xecaa, 0x61ae, 0xad9f, + 0x0c27, 0xef33, 0x62e5, 0x211d, 0x08fa, 0xa78d, 0xc675, 0x8bae}}, + /* example reaching delta=-64..65; 661 divsteps */ + {{0x21bf, 0x52d5, 0x8fd4, 0xaa18, 0x156a, 0x7247, 0xebb8, 0x5717, + 0x4eb5, 0x1421, 0xb58f, 0x3b0b, 0x5dff, 0xe533, 0xb369, 0xd28a}, + {0x9f6b, 0xe463, 0x2563, 0xc74d, 0x6d81, 0x636a, 0x8fc8, 0x7a94, + 0x9429, 0x1585, 0xf35e, 0x7ff5, 0xb64f, 0x9720, 0xba74, 0xe108}, + {0xa5ab, 0xea7b, 0xfe5e, 0x8a85, 0x13be, 0x7934, 0xe8a0, 0xa187, + 0x86b5, 0xe477, 0xb9a4, 0x75d7, 0x538f, 0xdd70, 0xc781, 0xb67d}}, + /* example reaching delta=-64..65; 661 divsteps */ + {{0xa41a, 0x3e8d, 0xf1f5, 0x9493, 0x868c, 0x5103, 0x2725, 0x3ceb, + 0x6032, 0x3624, 0xdc6b, 0x9120, 0xbf4c, 0x8821, 0x91ad, 0xb31a}, + {0x5c0b, 0xdda5, 0x20f8, 0x32a1, 0xaf73, 0x6ec5, 0x4779, 0x43d6, + 0xd454, 0x9573, 0xbf84, 0x5a58, 0xe04e, 0x307e, 0xd1d5, 0xe230}, + {0xda15, 0xbcd6, 0x7180, 0xabd3, 0x04e6, 0x6986, 0xc0d7, 0x90bb, + 0x3a4d, 0x7c95, 0xaaab, 0x9ab3, 0xda34, 0xa7f6, 0x9636, 0x6273}}, + /* example doing 123 consecutive (f,g/2) steps; 615 divsteps */ + {{0xb4d6, 0xb38f, 0x00aa, 0xebda, 0xd4c2, 0x70b8, 0x9dad, 0x58ee, + 0x68f8, 0x48d3, 0xb5ff, 0xf422, 0x9e46, 0x2437, 0x18d0, 0xd9cc}, + {0x5c83, 0xfed7, 0x97f5, 0x3f07, 0xcaad, 0x95b1, 0xb4a4, 0xb005, + 0x23af, 0xdd27, 0x6c0d, 0x932c, 0xe2b2, 0xe3ae, 0xfb96, 0xdf67}, + {0x3105, 0x0127, 0xfd48, 0x039b, 0x35f1, 0xbc6f, 0x6c0a, 0xb572, + 0xe4df, 0xebad, 0x8edc, 0xb89d, 0x9555, 0x4c26, 0x1fef, 0x997c}}, + /* example doing 123 consecutive (f,g/2) steps; 614 divsteps */ + {{0x5138, 0xd474, 0x385f, 0xc964, 0x00f2, 0x6df7, 0x862d, 0xb185, + 0xb264, 0xe9e1, 0x466c, 0xf39e, 0xafaf, 0x5f41, 0x47e2, 0xc89d}, + {0x8607, 0x9c81, 0x46a2, 0x7dcc, 0xcb0c, 0x9325, 0xe149, 0x2bde, + 0x6632, 0x2869, 0xa261, 0xb163, 0xccee, 0x22ae, 0x91e0, 0xcfd5}, + {0x831c, 0xda22, 0xb080, 0xba7a, 0x26e2, 0x54b0, 0x073b, 0x5ea0, + 0xed4b, 0xcb3d, 0xbba1, 0xbec8, 0xf2ad, 0xae0d, 0x349b, 0x17d1}}, + /* example doing 123 consecutive (f,g/2) steps; 614 divsteps */ + {{0xe9a5, 0xb4ad, 0xd995, 0x9953, 0xcdff, 0x50d7, 0xf715, 0x9dc7, + 0x3e28, 0x15a9, 0x95a3, 0x8554, 0x5b5e, 0xad1d, 0x6d57, 0x3d50}, + {0x3ad9, 0xbd60, 0x5cc7, 0x6b91, 0xadeb, 0x71f6, 0x7cc4, 0xa58a, + 0x2cce, 0xf17c, 0x38c9, 0x97ed, 0x65fb, 0x3fa6, 0xa6bc, 0xeb24}, + {0xf96c, 0x1963, 0x8151, 0xa0cc, 0x299b, 0xf277, 0x001a, 0x16bb, + 0xfd2e, 0x532d, 0x0410, 0xe117, 0x6b00, 0x44ec, 0xca6a, 0x1745}}, + /* example doing 446 (f,g/2) steps; 523 divsteps */ + {{0x3758, 0xa56c, 0xe41e, 0x4e47, 0x0975, 0xa82b, 0x107c, 0x89cf, + 0x2093, 0x5a0c, 0xda37, 0xe007, 0x6074, 0x4f68, 0x2f5a, 0xbb8a}, + {0x4beb, 0xa40f, 0x2c42, 0xd9d6, 0x97e8, 0xca7c, 0xd395, 0x894f, + 0x1f50, 0x8067, 0xa233, 0xb850, 0x1746, 0x1706, 0xbcda, 0xdf32}, + {0x762a, 0xceda, 0x4c45, 0x1ca0, 0x8c37, 0xd8c5, 0xef57, 0x7a2c, + 0x6e98, 0xe38a, 0xc50e, 0x2ca9, 0xcb85, 0x24d5, 0xc29c, 0x61f6}}, + /* example doing 446 (f,g/2) steps; 523 divsteps */ + {{0x6f38, 0x74ad, 0x7332, 0x4073, 0x6521, 0xb876, 0xa370, 0xa6bd, + 0xcea5, 0xbd06, 0x969f, 0x77c6, 0x1e69, 0x7c49, 0x7d51, 0xb6e7}, + {0x3f27, 0x4be4, 0xd81e, 0x1396, 0xb21f, 0x92aa, 0x6dc3, 0x6283, + 0x6ada, 0x3ca2, 0xc1e5, 0x8b9b, 0xd705, 0x5598, 0x8ba1, 0xe087}, + {0x6a22, 0xe834, 0xbc8d, 0xcee9, 0x42fc, 0xfc77, 0x9c45, 0x1ca8, + 0xeb66, 0xed74, 0xaaf9, 0xe75f, 0xfe77, 0x46d2, 0x179b, 0xbf3e}}, + /* example doing 336 (f,(f+g)/2) steps; 693 divsteps */ + {{0x7ea7, 0x444e, 0x84ea, 0xc447, 0x7c1f, 0xab97, 0x3de6, 0x5878, + 0x4e8b, 0xc017, 0x03e0, 0xdc40, 0xbbd0, 0x74ce, 0x0169, 0x7ab5}, + {0x4023, 0x154f, 0xfbe4, 0x8195, 0xfda0, 0xef54, 0x9e9a, 0xc703, + 0x2803, 0xf760, 0x6302, 0xed5b, 0x7157, 0x6456, 0xdd7d, 0xf14b}, + {0xb6fb, 0xe3b3, 0x0733, 0xa77e, 0x44c5, 0x3003, 0xc937, 0xdd4d, + 0x5355, 0x14e9, 0x184e, 0xcefe, 0xe6b5, 0xf2e0, 0x0a28, 0x5b74}}, + /* example doing 336 (f,(f+g)/2) steps; 687 divsteps */ + {{0xa893, 0xb5f4, 0x1ede, 0xa316, 0x242c, 0xbdcc, 0xb017, 0x0836, + 0x3a37, 0x27fb, 0xfb85, 0x251e, 0xa189, 0xb15d, 0xa4b8, 0xc24c}, + {0xb0b7, 0x57ba, 0xbb6d, 0x9177, 0xc896, 0xc7f2, 0x43b4, 0x85a6, + 0xe6c4, 0xe50e, 0x3109, 0x7ca5, 0xd73d, 0x13ff, 0x0c3d, 0xcd62}, + {0x48ca, 0xdb34, 0xe347, 0x2cef, 0x4466, 0x10fb, 0x7ee1, 0x6344, + 0x4308, 0x966d, 0xd4d1, 0xb099, 0x994f, 0xd025, 0x2187, 0x5866}}, + /* example doing 267 (g,(g-f)/2) steps; 678 divsteps */ + {{0x0775, 0x1754, 0x01f6, 0xdf37, 0xc0be, 0x8197, 0x072f, 0x6cf5, + 0x8b36, 0x8069, 0x5590, 0xb92d, 0x6084, 0x47a4, 0x23fe, 0xddd5}, + {0x8e1b, 0xda37, 0x27d9, 0x312e, 0x3a2f, 0xef6d, 0xd9eb, 0x8153, + 0xdcba, 0x9fa3, 0x9f80, 0xead5, 0x134d, 0x2ebb, 0x5ec0, 0xe032}, + {0x1cb6, 0x5a61, 0x1bed, 0x77d6, 0xd5d1, 0x7498, 0xef33, 0x2dd2, + 0x1089, 0xedbd, 0x6958, 0x16ae, 0x336c, 0x45e6, 0x4361, 0xbadc}}, + /* example doing 267 (g,(g-f)/2) steps; 676 divsteps */ + {{0x0207, 0xf948, 0xc430, 0xf36b, 0xf0a7, 0x5d36, 0x751f, 0x132c, + 0x6f25, 0xa630, 0xca1f, 0xc967, 0xaf9c, 0x34e7, 0xa38f, 0xbe9f}, + {0x5fb9, 0x7321, 0x6561, 0x5fed, 0x54ec, 0x9c3a, 0xee0e, 0x6717, + 0x49af, 0xb896, 0xf4f5, 0x451c, 0x722a, 0xf116, 0x64a9, 0xcf0b}, + {0xf4d7, 0xdb47, 0xfef2, 0x4806, 0x4cb8, 0x18c7, 0xd9a7, 0x4951, + 0x14d8, 0x5c3a, 0xd22d, 0xd7b2, 0x750c, 0x3de7, 0x8b4a, 0x19aa}}, + + /* Test cases triggering edge cases in divsteps variant starting with delta=1/2 */ + + /* example needing 590 divsteps; delta=-5/2..7/2 */ + {{0x9118, 0xb640, 0x53d7, 0x30ab, 0x2a23, 0xd907, 0x9323, 0x5b3a, + 0xb6d4, 0x538a, 0x7637, 0xfe97, 0xfd05, 0x3cc0, 0x453a, 0xfb7e}, + {0x6983, 0x4f75, 0x4ad1, 0x48ad, 0xb2d9, 0x521d, 0x3dbc, 0x9cc0, + 0x4b60, 0x0ac6, 0xd3be, 0x0fb6, 0xd305, 0x3895, 0x2da5, 0xfdf8}, + {0xcec1, 0x33ac, 0xa801, 0x8194, 0xe36c, 0x65ef, 0x103b, 0xca54, + 0xfa9b, 0xb41d, 0x9b52, 0xb6f7, 0xa611, 0x84aa, 0x3493, 0xbf54}}, + /* example needing 590 divsteps; delta=-3/2..5/2 */ + {{0xb5f2, 0x42d0, 0x35e8, 0x8ca0, 0x4b62, 0x6e1d, 0xbdf3, 0x890e, + 0x8c82, 0x23d8, 0xc79a, 0xc8e8, 0x789e, 0x353d, 0x9766, 0xea9d}, + {0x6fa1, 0xacba, 0x4b7a, 0x5de1, 0x95d0, 0xc845, 0xebbf, 0x6f5a, + 0x30cf, 0x52db, 0x69b7, 0xe278, 0x4b15, 0x8411, 0x2ab2, 0xf3e7}, + {0xf12c, 0x9d6d, 0x95fa, 0x1878, 0x9f13, 0x4fb5, 0x3c8b, 0xa451, + 0x7182, 0xc4b6, 0x7e2a, 0x7bb7, 0x6e0e, 0x5b68, 0xde55, 0x9927}}, + /* example needing 590 divsteps; delta=-3/2..5/2 */ + {{0x229c, 0x4ef8, 0x1e93, 0xe5dc, 0xcde5, 0x6d62, 0x263b, 0xad11, + 0xced0, 0x88ff, 0xae8e, 0x3183, 0x11d2, 0xa50b, 0x350d, 0xeb40}, + {0x3157, 0xe2ea, 0x8a02, 0x0aa3, 0x5ae1, 0xb26c, 0xea27, 0x6805, + 0x87e2, 0x9461, 0x37c1, 0x2f8d, 0x85d2, 0x77a8, 0xf805, 0xeec9}, + {0x6f4e, 0x2748, 0xf7e5, 0xd8d3, 0xabe2, 0x7270, 0xc4e0, 0xedc7, + 0xf196, 0x78ca, 0x9139, 0xd8af, 0x72c6, 0xaf2f, 0x85d2, 0x6cd3}}, + /* example needing 590 divsteps; delta=-5/2..7/2 */ + {{0xdce8, 0xf1fe, 0x6708, 0x021e, 0xf1ca, 0xd609, 0x5443, 0x85ce, + 0x7a05, 0x8f9c, 0x90c3, 0x52e7, 0x8e1d, 0x97b8, 0xc0bf, 0xf2a1}, + {0xbd3d, 0xed11, 0x1625, 0xb4c5, 0x844c, 0xa413, 0x2569, 0xb9ba, + 0xcd35, 0xff84, 0xcd6e, 0x7f0b, 0x7d5d, 0x10df, 0x3efe, 0xfbe5}, + {0xa9dd, 0xafef, 0xb1b7, 0x4c8d, 0x50e4, 0xafbf, 0x2d5a, 0xb27c, + 0x0653, 0x66b6, 0x5d36, 0x4694, 0x7e35, 0xc47c, 0x857f, 0x32c5}}, + /* example needing 590 divsteps; delta=-3/2..5/2 */ + {{0x7902, 0xc9f8, 0x926b, 0xaaeb, 0x90f8, 0x1c89, 0xcce3, 0x96b7, + 0x28b2, 0x87a2, 0x136d, 0x695a, 0xa8df, 0x9061, 0x9e31, 0xee82}, + {0xd3a9, 0x3c02, 0x818c, 0x6b81, 0x34b3, 0xebbb, 0xe2c8, 0x7712, + 0xbfd6, 0x8248, 0xa6f4, 0xba6f, 0x03bb, 0xfb54, 0x7575, 0xfe89}, + {0x8246, 0x0d63, 0x478e, 0xf946, 0xf393, 0x0451, 0x08c2, 0x5919, + 0x5fd6, 0x4c61, 0xbeb7, 0x9a15, 0x30e1, 0x55fc, 0x6a01, 0x3724}}, + /* example reaching delta=-127/2..129/2; 571 divsteps */ + {{0x3eff, 0x926a, 0x77f5, 0x1fff, 0x1a5b, 0xf3ef, 0xf64b, 0x8681, + 0xf800, 0xf9bc, 0x761d, 0xe268, 0x62b0, 0xa032, 0xba9c, 0xbe56}, + {0xb8f9, 0x00e7, 0x47b7, 0xdffc, 0xfd9d, 0x5abb, 0xa19b, 0x1868, + 0x31fd, 0x3b29, 0x3674, 0x5449, 0xf54d, 0x1d19, 0x6ac7, 0xff6f}, + {0xf1d7, 0x3551, 0x5682, 0x9adf, 0xe8aa, 0x19a5, 0x8340, 0x71db, + 0xb7ab, 0x4cfd, 0xf661, 0x632c, 0xc27e, 0xd3c6, 0xdf42, 0xd306}}, + /* example reaching delta=-127/2..129/2; 571 divsteps */ + {{0x0000, 0x0000, 0x0000, 0x0000, 0x3aff, 0x2ed7, 0xf2e0, 0xabc7, + 0x8aee, 0x166e, 0x7ed0, 0x9ac7, 0x714a, 0xb9c5, 0x4d58, 0xad6c}, + {0x9cf9, 0x47e2, 0xa421, 0xb277, 0xffc2, 0x2747, 0x6486, 0x94c1, + 0x1d99, 0xd49b, 0x1096, 0x991a, 0xe986, 0xae02, 0xe89b, 0xea36}, + {0x1fb4, 0x98d8, 0x19b7, 0x80e9, 0xcdac, 0xaa5a, 0xf1e6, 0x0074, + 0xe393, 0xed8b, 0x8d5c, 0xe17d, 0x81b3, 0xc16d, 0x54d3, 0x9be3}}, + /* example reaching delta=-127/2..129/2; 571 divsteps */ + {{0xd047, 0x7e36, 0x3157, 0x7ab6, 0xb4d9, 0x8dae, 0x7534, 0x4f5d, + 0x489e, 0xa8ab, 0x8a3d, 0xd52c, 0x62af, 0xa032, 0xba9c, 0xbe56}, + {0xb1f1, 0x737f, 0x5964, 0x5afb, 0x3712, 0x8ef9, 0x19f7, 0x9669, + 0x664d, 0x03ad, 0xc352, 0xf7a5, 0xf545, 0x1d19, 0x6ac7, 0xff6f}, + {0xa834, 0x5256, 0x27bc, 0x33bd, 0xba11, 0x5a7b, 0x791e, 0xe6c0, + 0x9ac4, 0x9370, 0x1130, 0x28b4, 0x2b2e, 0x231b, 0x082a, 0x796e}}, + /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */ + {{0x6ab1, 0x6ea0, 0x1a99, 0xe0c2, 0xdd45, 0x645d, 0x8dbc, 0x466a, + 0xfa64, 0x4289, 0xd3f7, 0xfc8f, 0x2894, 0xe3c5, 0xa008, 0xcc14}, + {0xc75f, 0xc083, 0x4cc2, 0x64f2, 0x2aff, 0x4c12, 0x8461, 0xc4ae, + 0xbbfa, 0xb336, 0xe4b2, 0x3ac5, 0x2c22, 0xf56c, 0x5381, 0xe943}, + {0xcd80, 0x760d, 0x4395, 0xb3a6, 0xd497, 0xf583, 0x82bd, 0x1daa, + 0xbe92, 0x2613, 0xfdfb, 0x869b, 0x0425, 0xa333, 0x7056, 0xc9c5}}, + /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */ + {{0x71d4, 0x64df, 0xec4f, 0x74d8, 0x7e0c, 0x40d3, 0x7073, 0x4cc8, + 0x2a2a, 0xb1ff, 0x8518, 0x6513, 0xb0ea, 0x640a, 0x62d9, 0xd5f4}, + {0xdc75, 0xd937, 0x3b13, 0x1d36, 0xdf83, 0xd034, 0x1c1c, 0x4332, + 0x4cc3, 0xeeec, 0x7d94, 0x6771, 0x3384, 0x74b0, 0x947d, 0xf2c4}, + {0x0a82, 0x37a4, 0x12d5, 0xec97, 0x972c, 0xe6bf, 0xc348, 0xa0a9, + 0xc50c, 0xdc7c, 0xae30, 0x19d1, 0x0fca, 0x35e1, 0xd6f6, 0x81ee}}, + /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */ + {{0xa6b1, 0xabc5, 0x5bbc, 0x7f65, 0xdd32, 0xaa73, 0xf5a3, 0x1982, + 0xced4, 0xe949, 0x0fd6, 0x2bc4, 0x2bd7, 0xe3c5, 0xa008, 0xcc14}, + {0x4b5f, 0x8f96, 0xa375, 0xfbcf, 0x1c7d, 0xf1ec, 0x03f5, 0xb35d, + 0xb999, 0xdb1f, 0xc9a1, 0xb4c7, 0x1dd5, 0xf56c, 0x5381, 0xe943}, + {0xaa3d, 0x38b9, 0xf17d, 0xeed9, 0x9988, 0x69ee, 0xeb88, 0x1495, + 0x203f, 0x18c8, 0x82b7, 0xdcb2, 0x34a7, 0x6b00, 0x6998, 0x589a}}, + /* example doing 453 (f,g/2) steps; 514 divsteps */ + {{0xa478, 0xe60d, 0x3244, 0x60e6, 0xada3, 0xfe50, 0xb6b1, 0x2eae, + 0xd0ef, 0xa7b1, 0xef63, 0x05c0, 0xe213, 0x443e, 0x4427, 0x2448}, + {0x258f, 0xf9ef, 0xe02b, 0x92dd, 0xd7f3, 0x252b, 0xa503, 0x9089, + 0xedff, 0x96c1, 0xfe3a, 0x3a39, 0x198a, 0x981d, 0x0627, 0xedb7}, + {0x595a, 0x45be, 0x8fb0, 0x2265, 0xc210, 0x02b8, 0xdce9, 0xe241, + 0xcab6, 0xbf0d, 0x0049, 0x8d9a, 0x2f51, 0xae54, 0x5785, 0xb411}}, + /* example doing 453 (f,g/2) steps; 514 divsteps */ + {{0x48f0, 0x7db3, 0xdafe, 0x1c92, 0x5912, 0xe11a, 0xab52, 0xede1, + 0x3182, 0x8980, 0x5d2b, 0x9b5b, 0x8718, 0xda27, 0x1683, 0x1de2}, + {0x168f, 0x6f36, 0xce7a, 0xf435, 0x19d4, 0xda5e, 0x2351, 0x9af5, + 0xb003, 0x0ef5, 0x3b4c, 0xecec, 0xa9f0, 0x78e1, 0xdfef, 0xe823}, + {0x5f55, 0xfdcc, 0xb233, 0x2914, 0x84f0, 0x97d1, 0x9cf4, 0x2159, + 0xbf56, 0xb79c, 0x17a3, 0x7cef, 0xd5de, 0x34f0, 0x5311, 0x4c54}}, + /* example doing 510 (f,(f+g)/2) steps; 512 divsteps */ + {{0x2789, 0x2e04, 0x6e0e, 0xb6cd, 0xe4de, 0x4dbf, 0x228d, 0x7877, + 0xc335, 0x806b, 0x38cd, 0x8049, 0xa73b, 0xcfa2, 0x82f7, 0x9e19}, + {0xc08d, 0xb99d, 0xb8f3, 0x663d, 0xbbb3, 0x1284, 0x1485, 0x1d49, + 0xc98f, 0x9e78, 0x1588, 0x11e3, 0xd91a, 0xa2c7, 0xfff1, 0xc7b9}, + {0x1e1f, 0x411d, 0x7c49, 0x0d03, 0xe789, 0x2f8e, 0x5d55, 0xa95e, + 0x826e, 0x8de5, 0x52a0, 0x1abc, 0x4cd7, 0xd13a, 0x4395, 0x63e1}}, + /* example doing 510 (f,(f+g)/2) steps; 512 divsteps */ + {{0xd5a1, 0xf786, 0x555c, 0xb14b, 0x44ae, 0x535f, 0x4a49, 0xffc3, + 0xf497, 0x70d1, 0x57c8, 0xa933, 0xc85a, 0x1910, 0x75bf, 0x960b}, + {0xfe53, 0x5058, 0x496d, 0xfdff, 0x6fb8, 0x4100, 0x92bd, 0xe0c4, + 0xda89, 0xe0a4, 0x841b, 0x43d4, 0xa388, 0x957f, 0x99ca, 0x9abf}, + {0xe530, 0x05bc, 0xfeec, 0xfc7e, 0xbcd3, 0x1239, 0x54cb, 0x7042, + 0xbccb, 0x139e, 0x9076, 0x0203, 0x6068, 0x90c7, 0x1ddf, 0x488d}}, + /* example doing 228 (g,(g-f)/2) steps; 538 divsteps */ + {{0x9488, 0xe54b, 0x0e43, 0x81d2, 0x06e7, 0x4b66, 0x36d0, 0x53d6, + 0x2b68, 0x22ec, 0x3fa9, 0xc1a7, 0x9ad2, 0xa596, 0xb3ac, 0xdf42}, + {0xe31f, 0x0b28, 0x5f3b, 0xc1ff, 0x344c, 0xbf5f, 0xd2ec, 0x2936, + 0x9995, 0xdeb2, 0xae6c, 0x2852, 0xa2c6, 0xb306, 0x8120, 0xe305}, + {0xa56e, 0xfb98, 0x1537, 0x4d85, 0x619e, 0x866c, 0x3cd4, 0x779a, + 0xdd66, 0xa80d, 0xdc2f, 0xcae4, 0xc74c, 0x5175, 0xa65d, 0x605e}}, + /* example doing 228 (g,(g-f)/2) steps; 537 divsteps */ + {{0x8cd5, 0x376d, 0xd01b, 0x7176, 0x19ef, 0xcf09, 0x8403, 0x5e52, + 0x83c1, 0x44de, 0xb91e, 0xb33d, 0xe15c, 0x51e7, 0xbad8, 0x6359}, + {0x3b75, 0xf812, 0x5f9e, 0xa04e, 0x92d3, 0x226e, 0x540e, 0x7c9a, + 0x31c6, 0x46d2, 0x0b7b, 0xdb4a, 0xe662, 0x4950, 0x0265, 0xf76f}, + {0x09ed, 0x692f, 0xe8f1, 0x3482, 0xab54, 0x36b4, 0x8442, 0x6ae9, + 0x4329, 0x6505, 0x183b, 0x1c1d, 0x482d, 0x7d63, 0xb44f, 0xcc09}}, + + /* Test cases with the group order as modulus. */ + + /* Test case with the group order as modulus, needing 635 divsteps. */ + {{0x95ed, 0x6c01, 0xd113, 0x5ff1, 0xd7d0, 0x29cc, 0x5817, 0x6120, + 0xca8e, 0xaad1, 0x25ae, 0x8e84, 0x9af6, 0x30bf, 0xf0ed, 0x1686}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x1631, 0xbf4a, 0x286a, 0x2716, 0x469f, 0x2ac8, 0x1312, 0xe9bc, + 0x04f4, 0x304b, 0x9931, 0x113b, 0xd932, 0xc8f4, 0x0d0d, 0x01a1}}, + /* example with group size as modulus needing 631 divsteps */ + {{0x85ed, 0xc284, 0x9608, 0x3c56, 0x19b6, 0xbb5b, 0x2850, 0xdab7, + 0xa7f5, 0xe9ab, 0x06a4, 0x5bbb, 0x1135, 0xa186, 0xc424, 0xc68b}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x8479, 0x450a, 0x8fa3, 0xde05, 0xb2f5, 0x7793, 0x7269, 0xbabb, + 0xc3b3, 0xd49b, 0x3377, 0x03c6, 0xe694, 0xc760, 0xd3cb, 0x2811}}, + /* example with group size as modulus needing 565 divsteps starting at delta=1/2 */ + {{0x8432, 0x5ceb, 0xa847, 0x6f1e, 0x51dd, 0x535a, 0x6ddc, 0x70ce, + 0x6e70, 0xc1f6, 0x18f2, 0x2a7e, 0xc8e7, 0x39f8, 0x7e96, 0xebbf}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x257e, 0x449f, 0x689f, 0x89aa, 0x3989, 0xb661, 0x376c, 0x1e32, + 0x654c, 0xee2e, 0xf4e2, 0x33c8, 0x3f2f, 0x9716, 0x6046, 0xcaa3}}, + /* Test case with the group size as modulus, needing 981 divsteps with + broken eta handling. */ + {{0xfeb9, 0xb877, 0xee41, 0x7fa3, 0x87da, 0x94c4, 0x9d04, 0xc5ae, + 0x5708, 0x0994, 0xfc79, 0x0916, 0xbf32, 0x3ad8, 0xe11c, 0x5ca2}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x0f12, 0x075e, 0xce1c, 0x6f92, 0xc80f, 0xca92, 0x9a04, 0x6126, + 0x4b6c, 0x57d6, 0xca31, 0x97f3, 0x1f99, 0xf4fd, 0xda4d, 0x42ce}}, + /* Test case with the group size as modulus, input = 0. */ + {{0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}}, + /* Test case with the group size as modulus, input = 1. */ + {{0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}}, + /* Test case with the group size as modulus, input = 2. */ + {{0x0002, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x20a1, 0x681b, 0x2f46, 0xdfe9, 0x501d, 0x57a4, 0x6e73, 0x5d57, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff}}, + /* Test case with the group size as modulus, input = group - 1. */ + {{0x4140, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x4140, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae, + 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}}, + + /* Test cases with the field size as modulus. */ + + /* Test case with the field size as modulus, needing 637 divsteps. */ + {{0x9ec3, 0x1919, 0xca84, 0x7c11, 0xf996, 0x06f3, 0x5408, 0x6688, + 0x1320, 0xdb8a, 0x632a, 0x0dcb, 0x8a84, 0x6bee, 0x9c95, 0xe34e}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x18e5, 0x19b6, 0xdf92, 0x1aaa, 0x09fb, 0x8a3f, 0x52b0, 0x8701, + 0xac0c, 0x2582, 0xda44, 0x9bcc, 0x6828, 0x1c53, 0xbd8f, 0xbd2c}}, + /* example with field size as modulus needing 637 divsteps */ + {{0xaec3, 0xa7cf, 0x2f2d, 0x0693, 0x5ad5, 0xa8ff, 0x7ec7, 0x30ff, + 0x0c8b, 0xc242, 0xcab2, 0x063a, 0xf86e, 0x6057, 0x9cbd, 0xf6d8}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x0310, 0x579d, 0xcb38, 0x9030, 0x3ded, 0x9bb9, 0x1234, 0x63ce, + 0x0c63, 0x8e3d, 0xacfe, 0x3c20, 0xdc85, 0xf859, 0x919e, 0x1d45}}, + /* example with field size as modulus needing 564 divsteps starting at delta=1/2 */ + {{0x63ae, 0x8d10, 0x0071, 0xdb5c, 0xb454, 0x78d1, 0x744a, 0x5f8e, + 0xe4d8, 0x87b1, 0x8e62, 0x9590, 0xcede, 0xa070, 0x36b4, 0x7f6f}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0xfdc8, 0xe8d5, 0xbe15, 0x9f86, 0xa5fe, 0xf18e, 0xa7ff, 0xd291, + 0xf4c2, 0x9c87, 0xf150, 0x073e, 0x69b8, 0xf7c4, 0xee4b, 0xc7e6}}, + /* Test case with the field size as modulus, needing 935 divsteps with + broken eta handling. */ + {{0x1b37, 0xbdc3, 0x8bcd, 0x25e3, 0x1eae, 0x567d, 0x30b6, 0xf0d8, + 0x9277, 0x0cf8, 0x9c2e, 0xecd7, 0x631d, 0xe38f, 0xd4f8, 0x5c93}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x1622, 0xe05b, 0xe880, 0x7de9, 0x3e45, 0xb682, 0xee6c, 0x67ed, + 0xa179, 0x15db, 0x6b0d, 0xa656, 0x7ccb, 0x8ef7, 0xa2ff, 0xe279}}, + /* Test case with the field size as modulus, input = 0. */ + {{0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}}, + /* Test case with the field size as modulus, input = 1. */ + {{0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}}, + /* Test case with the field size as modulus, input = 2. */ + {{0x0002, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0xfe18, 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff}}, + /* Test case with the field size as modulus, input = field - 1. */ + {{0xfc2e, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}, + {0xfc2e, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}}, + + /* Selected from a large number of random inputs to reach small/large + * d/e values in various configurations. */ + {{0x3a08, 0x23e1, 0x4d8c, 0xe606, 0x3263, 0x67af, 0x9bf1, 0x9d70, + 0xf5fd, 0x12e4, 0x03c8, 0xb9ca, 0xe847, 0x8c5d, 0x6322, 0xbd30}, + {0x8359, 0x59dd, 0x1831, 0x7c1a, 0x1e83, 0xaee1, 0x770d, 0xcea8, + 0xfbb1, 0xeed6, 0x10b5, 0xe2c6, 0x36ea, 0xee17, 0xe32c, 0xffff}, + {0x1727, 0x0f36, 0x6f85, 0x5d0c, 0xca6c, 0x3072, 0x9628, 0x5842, + 0xcb44, 0x7c2b, 0xca4f, 0x62e5, 0x29b1, 0x6ffd, 0x9055, 0xc196}}, + {{0x905d, 0x41c8, 0xa2ff, 0x295b, 0x72bb, 0x4679, 0x6d01, 0x2c98, + 0xb3e0, 0xc537, 0xa310, 0xe07e, 0xe72f, 0x4999, 0x1148, 0xf65e}, + {0x5b41, 0x4239, 0x3c37, 0x5130, 0x30e3, 0xff35, 0xc51f, 0x1a43, + 0xdb23, 0x13cf, 0x9f49, 0xf70c, 0x5e70, 0xd411, 0x3005, 0xf8c6}, + {0xc30e, 0x68f0, 0x201a, 0xe10c, 0x864a, 0x6243, 0xe946, 0x43ae, + 0xf3f1, 0x52dc, 0x1f7f, 0x50d4, 0x2797, 0x064c, 0x5ca4, 0x90e3}}, + {{0xf1b5, 0xc6e5, 0xd2c4, 0xff95, 0x27c5, 0x0c92, 0x5d19, 0x7ae5, + 0x4fbe, 0x5438, 0x99e1, 0x880d, 0xd892, 0xa05c, 0x6ffd, 0x7eac}, + {0x2153, 0xcc9d, 0xfc6c, 0x8358, 0x49a1, 0x01e2, 0xcef0, 0x4969, + 0xd69a, 0x8cef, 0xf5b2, 0xfd95, 0xdcc2, 0x71f4, 0x6ae2, 0xceeb}, + {0x9b2e, 0xcdc6, 0x0a5c, 0x7317, 0x9084, 0xe228, 0x56cf, 0xd512, + 0x628a, 0xce21, 0x3473, 0x4e13, 0x8823, 0x1ed0, 0x34d0, 0xbfa3}}, + {{0x5bae, 0x53e5, 0x5f4d, 0x21ca, 0xb875, 0x8ecf, 0x9aa6, 0xbe3c, + 0x9f96, 0x7b82, 0x375d, 0x4d3e, 0x491c, 0xb1eb, 0x04c9, 0xb6c8}, + {0xfcfd, 0x10b7, 0x73b2, 0xd23b, 0xa357, 0x67da, 0x0d9f, 0x8702, + 0xa037, 0xff8e, 0x0e8b, 0x1801, 0x2c5c, 0x4e6e, 0x4558, 0xfff2}, + {0xc50f, 0x5654, 0x6713, 0x5ef5, 0xa7ce, 0xa647, 0xc832, 0x69ce, + 0x1d5c, 0x4310, 0x0746, 0x5a01, 0x96ea, 0xde4b, 0xa88b, 0x5543}}, + {{0xdc7f, 0x5e8c, 0x89d1, 0xb077, 0xd521, 0xcf90, 0x32fa, 0x5737, + 0x839e, 0x1464, 0x007c, 0x09c6, 0x9371, 0xe8ea, 0xc1cb, 0x75c4}, + {0xe3a3, 0x107f, 0xa82a, 0xa375, 0x4578, 0x60f4, 0x75c9, 0x5ee4, + 0x3fd7, 0x2736, 0x2871, 0xd3d2, 0x5f1d, 0x1abb, 0xa764, 0xffff}, + {0x45c6, 0x1f2e, 0xb14c, 0x84d7, 0x7bb7, 0x5a04, 0x0504, 0x3f33, + 0x5cc1, 0xb07a, 0x6a6c, 0x786f, 0x647f, 0xe1d7, 0x78a2, 0x4cf4}}, + {{0xc006, 0x356f, 0x8cd2, 0x967b, 0xb49e, 0x2d4e, 0x14bf, 0x4bcb, + 0xddab, 0xd3f9, 0xa068, 0x2c1c, 0xd242, 0xa56d, 0xf2c7, 0x5f97}, + {0x465b, 0xb745, 0x0e0d, 0x69a9, 0x987d, 0xcb37, 0xf637, 0xb311, + 0xc4d6, 0x2ddb, 0xf68f, 0x2af9, 0x959d, 0x3f53, 0x98f2, 0xf640}, + {0xc0f2, 0x6bfb, 0xf5c3, 0x91c1, 0x6b05, 0x0825, 0x5ca0, 0x7df7, + 0x9d55, 0x6d9e, 0xfe94, 0x2ad9, 0xd9f0, 0xe68b, 0xa72b, 0xd1b2}}, + {{0x2279, 0x61ba, 0x5bc6, 0x136b, 0xf544, 0x717c, 0xafda, 0x02bd, + 0x79af, 0x1fad, 0xea09, 0x81bb, 0x932b, 0x32c9, 0xdf1d, 0xe576}, + {0x8215, 0x7817, 0xca82, 0x43b0, 0x9b06, 0xea65, 0x1291, 0x0621, + 0x0089, 0x46fe, 0xc5a6, 0xddd7, 0x8065, 0xc6a0, 0x214b, 0xfc64}, + {0x04bf, 0x6f2a, 0x86b2, 0x841a, 0x4a95, 0xc632, 0x97b7, 0x5821, + 0x2b18, 0x1bb0, 0x3e97, 0x935e, 0xcc7d, 0x066b, 0xd513, 0xc251}}, + {{0x76e8, 0x5bc2, 0x3eaa, 0x04fc, 0x9974, 0x92c1, 0x7c15, 0xfa89, + 0x1151, 0x36ee, 0x48b2, 0x049c, 0x5f16, 0xcee4, 0x925b, 0xe98e}, + {0x913f, 0x0a2d, 0xa185, 0x9fea, 0xda5a, 0x4025, 0x40d7, 0x7cfa, + 0x88ca, 0xbbe8, 0xb265, 0xb7e4, 0x6cb1, 0xed64, 0xc6f9, 0xffb5}, + {0x6ab1, 0x1a86, 0x5009, 0x152b, 0x1cc4, 0xe2c8, 0x960b, 0x19d0, + 0x3554, 0xc562, 0xd013, 0xcf91, 0x10e1, 0x7933, 0xe195, 0xcf49}}, + {{0x9cb5, 0xd2d7, 0xc6ed, 0xa818, 0xb495, 0x06ee, 0x0f4a, 0x06e3, + 0x4c5a, 0x80ce, 0xd49a, 0x4cd7, 0x7487, 0x92af, 0xe516, 0x676c}, + {0xd6e9, 0x6b85, 0x619a, 0xb52c, 0x20a0, 0x2f79, 0x3545, 0x1edd, + 0x5a6f, 0x8082, 0x9b80, 0xf8f8, 0xc78a, 0xd0a3, 0xadf4, 0xffff}, + {0x01c2, 0x2118, 0xef5e, 0xa877, 0x046a, 0xd2c2, 0x2ad5, 0x951c, + 0x8900, 0xa5c9, 0x8d0f, 0x6b61, 0x55d3, 0xd572, 0x48de, 0x9219}}, + {{0x5114, 0x0644, 0x23dd, 0x01d3, 0xc101, 0xa659, 0xea17, 0x640f, + 0xf767, 0x2644, 0x9cec, 0xd8ba, 0xd6da, 0x9156, 0x8aeb, 0x875a}, + {0xc1bf, 0xdae9, 0xe96b, 0xce77, 0xf7a1, 0x3e99, 0x5c2e, 0x973b, + 0xd048, 0x5bd0, 0x4e8a, 0xcb85, 0xce39, 0x37f5, 0x815d, 0xffff}, + {0x48cc, 0x35b6, 0x26d4, 0x2ea6, 0x50d6, 0xa2f9, 0x64b6, 0x03bf, + 0xd00c, 0xe057, 0x3343, 0xfb79, 0x3ce5, 0xf717, 0xc5af, 0xe185}}, + {{0x13ff, 0x6c76, 0x2077, 0x16e0, 0xd5ca, 0xf2ad, 0x8dba, 0x8f49, + 0x7887, 0x16f9, 0xb646, 0xfc87, 0xfa31, 0x5096, 0xf08c, 0x3fbe}, + {0x8139, 0x6fd7, 0xf6df, 0xa7bf, 0x6699, 0x5361, 0x6f65, 0x13c8, + 0xf4d1, 0xe28f, 0xc545, 0x0a8c, 0x5274, 0xb0a6, 0xffff, 0xffff}, + {0x22ca, 0x0cd6, 0xc1b5, 0xb064, 0x44a7, 0x297b, 0x495f, 0x34ac, + 0xfa95, 0xec62, 0xf08d, 0x621c, 0x66a6, 0xba94, 0x84c6, 0x8ee0}}, + {{0xaa30, 0x312e, 0x439c, 0x4e88, 0x2e2f, 0x32dc, 0xb880, 0xa28e, + 0xf795, 0xc910, 0xb406, 0x8dd7, 0xb187, 0xa5a5, 0x38f1, 0xe49e}, + {0xfb19, 0xf64a, 0xba6a, 0x8ec2, 0x7255, 0xce89, 0x2cf9, 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0xdbb1, 0x1b60}}, + {{0x76b3, 0x2207, 0x4930, 0x5dd7, 0x65a0, 0xd55c, 0xb443, 0x53b7, + 0x5c22, 0x818a, 0xb2e7, 0x9de8, 0x9985, 0xed45, 0x33b1, 0x53e8}, + {0x7913, 0x44e1, 0xf15b, 0x5edd, 0x34f3, 0x4eba, 0x0758, 0x7104, + 0x32d9, 0x28f3, 0x4401, 0x85c5, 0xb695, 0xb899, 0xc0f2, 0xffff}, + {0x7f43, 0xd202, 0x24c9, 0x69f3, 0x74dc, 0x1a69, 0xeaee, 0x5405, + 0x1755, 0x4bb8, 0x04e3, 0x2fd2, 0xada8, 0x39eb, 0x5b4d, 0x96ca}}, + {{0x807b, 0x7112, 0xc088, 0xdafd, 0x02fa, 0x9d95, 0x5e42, 0xc033, + 0xde0a, 0xeecf, 0x8e90, 0x8da1, 0xb17e, 0x9a5b, 0x4c6d, 0x1914}, + {0x4871, 0xd1cb, 0x47d7, 0x327f, 0x09ec, 0x97bb, 0x2fae, 0xd346, + 0x6b78, 0x3707, 0xfeb2, 0xa6ab, 0x13df, 0x76b0, 0x8fb9, 0xffb3}, + {0x179e, 0xb63b, 0x4784, 0x231e, 0x9f42, 0x7f1a, 0xa3fb, 0xdd8c, + 0xd1eb, 0xb4c9, 0x8ca7, 0x018c, 0xf691, 0x576c, 0xa7d6, 0xce27}}, + {{0x5f45, 0x7c64, 0x083d, 0xedd5, 0x08a0, 0x0c64, 0x6c6f, 0xec3c, + 0xe2fb, 0x352c, 0x9303, 0x75e4, 0xb4e0, 0x8b09, 0xaca4, 0x7025}, + {0x1025, 0xb482, 0xfed5, 0xa678, 0x8966, 0x9359, 0x5329, 0x98bb, + 0x85b2, 0x73ba, 0x9982, 0x6fdc, 0xf190, 0xbe8c, 0xdc5c, 0xfd93}, + {0x83a2, 0x87a4, 0xa680, 0x52a1, 0x1ba1, 0x8848, 0x5db7, 0x9744, + 0x409c, 0x0745, 0x0e1e, 0x1cfc, 0x00cd, 0xf573, 0x2071, 0xccaa}}, + {{0xf61f, 0x63d4, 0x536c, 0x9eb9, 0x5ddd, 0xbb11, 0x9014, 0xe904, + 0xfe01, 0x6b45, 0x1858, 0xcb5b, 0x4c38, 0x43e1, 0x381d, 0x7f94}, + {0xf61f, 0x63d4, 0xd810, 0x7ca3, 0x8a04, 0x4b83, 0x11fc, 0xdf94, + 0x4169, 0xbd05, 0x608e, 0x7151, 0x4fbf, 0xb31a, 0x38a7, 0xa29b}, + {0xe621, 0xdfa5, 0x3d06, 0x1d03, 0x81e6, 0x00da, 0x53a6, 0x965e, + 0x93e5, 0x2164, 0x5b61, 0x59b8, 0xa629, 0x8d73, 0x699a, 0x6111}}, + {{0x4cc3, 0xd29e, 0xf4a3, 0x3428, 0x2048, 0xeec9, 0x5f50, 0x99a4, + 0x6de9, 0x05f2, 0x5aa9, 0x5fd2, 0x98b4, 0x1adc, 0x225f, 0x777f}, + {0xe649, 0x37da, 0x5ba6, 0x5765, 0x3f4a, 0x8a1c, 0x2e79, 0xf550, + 0x1a54, 0xcd1e, 0x7218, 0x3c3c, 0x6311, 0xfe28, 0x95fb, 0xed97}, + {0xe9b6, 0x0c47, 0x3f0e, 0x849b, 0x11f8, 0xe599, 0x5e4d, 0xd618, + 0xa06d, 0x33a0, 0x9a3e, 0x44db, 0xded8, 0x10f0, 0x94d2, 0x81fb}}, + {{0x2e59, 0x7025, 0xd413, 0x455a, 0x1ce3, 0xbd45, 0x7263, 0x27f7, + 0x23e3, 0x518e, 0xbe06, 0xc8c4, 0xe332, 0x4276, 0x68b4, 0xb166}, + {0x596f, 0x0cf6, 0xc8ec, 0x787b, 0x04c1, 0x473c, 0xd2b8, 0x8d54, + 0x9cdf, 0x77f2, 0xd3f3, 0x6735, 0x0638, 0xf80e, 0x9467, 0xc6aa}, + {0xc7e7, 0x1822, 0xb62a, 0xec0d, 0x89cd, 0x7846, 0xbfa2, 0x35d5, + 0xfa38, 0x870f, 0x494b, 0x1697, 0x8b17, 0xf904, 0x10b6, 0x9822}}, + {{0x6d5b, 0x1d4f, 0x0aaf, 0x807b, 0x35fb, 0x7ee8, 0x00c6, 0x059a, + 0xddf0, 0x1fb1, 0xc38a, 0xd78e, 0x2aa4, 0x79e7, 0xad28, 0xc3f1}, + {0xe3bb, 0x174e, 0xe0a8, 0x74b6, 0xbd5b, 0x35f6, 0x6d23, 0x6328, + 0xc11f, 0x83e1, 0xf928, 0xa918, 0x838e, 0xbf43, 0xe243, 0xfffb}, + {0x9cf2, 0x6b8b, 0x3476, 0x9d06, 0xdcf2, 0xdb8a, 0x89cd, 0x4857, + 0x75c2, 0xabb8, 0x490b, 0xc9bd, 0x890e, 0xe36e, 0xd552, 0xfffa}}, + {{0x2f09, 0x9d62, 0xa9fc, 0xf090, 0xd6d1, 0x9d1d, 0x1828, 0xe413, + 0xc92b, 0x3d5a, 0x1373, 0x368c, 0xbaf2, 0x2158, 0x71eb, 0x08a3}, + {0x2f09, 0x1d62, 0x4630, 0x0de1, 0x06dc, 0xf7f1, 0xc161, 0x1e92, + 0x7495, 0x97e4, 0x94b6, 0xa39e, 0x4f1b, 0x18f8, 0x7bd4, 0x0c4c}, + {0xeb3d, 0x723d, 0x0907, 0x525b, 0x463a, 0x49a8, 0xc6b8, 0xce7f, + 0x740c, 0x0d7d, 0xa83b, 0x457f, 0xae8e, 0xc6af, 0xd331, 0x0475}}, + {{0x6abd, 0xc7af, 0x3e4e, 0x95fd, 0x8fc4, 0xee25, 0x1f9c, 0x0afe, + 0x291d, 0xcde0, 0x48f4, 0xb2e8, 0xf7af, 0x8f8d, 0x0bd6, 0x078d}, + {0x4037, 0xbf0e, 0x2081, 0xf363, 0x13b2, 0x381e, 0xfb6e, 0x818e, + 0x27e4, 0x5662, 0x18b0, 0x0cd2, 0x81f5, 0x9415, 0x0d6c, 0xf9fb}, + {0xd205, 0x0981, 0x0498, 0x1f08, 0xdb93, 0x1732, 0x0579, 0x1424, + 0xad95, 0x642f, 0x050c, 0x1d6d, 0xfc95, 0xfc4a, 0xd41b, 0x3521}}, + {{0xf23a, 0x4633, 0xaef4, 0x1a92, 0x3c8b, 0x1f09, 0x30f3, 0x4c56, + 0x2a2f, 0x4f62, 0xf5e4, 0x8329, 0x63cc, 0xb593, 0xec6a, 0xc428}, + {0x93a7, 0xfcf6, 0x606d, 0xd4b2, 0x2aad, 0x28b4, 0xc65b, 0x8998, + 0x4e08, 0xd178, 0x0900, 0xc82b, 0x7470, 0xa342, 0x7c0f, 0xffff}, + {0x315f, 0xf304, 0xeb7b, 0xe5c3, 0x1451, 0x6311, 0x8f37, 0x93a8, + 0x4a38, 0xa6c6, 0xe393, 0x1087, 0x6301, 0xd673, 0x4ec4, 0xffff}}, + {{0x892e, 0xeed0, 0x1165, 0xcbc1, 0x5545, 0xa280, 0x7243, 0x10c9, + 0x9536, 0x36af, 0xb3fc, 0x2d7c, 0xe8a5, 0x09d6, 0xe1d4, 0xe85d}, + {0xae09, 0xc28a, 0xd777, 0xbd80, 0x23d6, 0xf980, 0xeb7c, 0x4e0e, + 0xf7dc, 0x6475, 0xf10a, 0x2d33, 0x5dfd, 0x797a, 0x7f1c, 0xf71a}, + {0x4064, 0x8717, 0xd091, 0x80b0, 0x4527, 0x8442, 0xac8b, 0x9614, + 0xc633, 0x35f5, 0x7714, 0x2e83, 0x4aaa, 0xd2e4, 0x1acd, 0x0562}}, + {{0xdb64, 0x0937, 0x308b, 0x53b0, 0x00e8, 0xc77f, 0x2f30, 0x37f7, + 0x79ce, 0xeb7f, 0xde81, 0x9286, 0xafda, 0x0e62, 0xae00, 0x0067}, + {0x2cc7, 0xd362, 0xb161, 0x0557, 0x4ff2, 0xb9c8, 0x06fe, 0x5f2b, + 0xde33, 0x0190, 0x28c6, 0xb886, 0xee2b, 0x5a4e, 0x3289, 0x0185}, + {0x4215, 0x923e, 0xf34f, 0xb362, 0x88f8, 0xceec, 0xafdd, 0x7f42, + 0x0c57, 0x56b2, 0xa366, 0x6a08, 0x0826, 0xfb8f, 0x1b03, 0x0163}}, + {{0xa4ba, 0x8408, 0x810a, 0xdeba, 0x47a3, 0x853a, 0xeb64, 0x2f74, + 0x3039, 0x038c, 0x7fbb, 0x498e, 0xd1e9, 0x46fb, 0x5691, 0x32a4}, + {0xd749, 0xb49d, 0x20b7, 0x2af6, 0xd34a, 0xd2da, 0x0a10, 0xf781, + 0x58c9, 0x171f, 0x3cb6, 0x6337, 0x88cd, 0xcf1e, 0xb246, 0x7351}, + {0xf729, 0xcf0a, 0x96ea, 0x032c, 0x4a8f, 0x42fe, 0xbac8, 0xec65, + 0x1510, 0x0d75, 0x4c17, 0x8d29, 0xa03f, 0x8b7e, 0x2c49, 0x0000}}, + {{0x0fa4, 0x8e1c, 0x3788, 0xba3c, 0x8d52, 0xd89d, 0x12c8, 0xeced, + 0x9fe6, 0x9b88, 0xecf3, 0xe3c8, 0xac48, 0x76ed, 0xf23e, 0xda79}, + {0x1103, 0x227c, 0x5b00, 0x3fcf, 0xc5d0, 0x2d28, 0x8020, 0x4d1c, + 0xc6b9, 0x67f9, 0x6f39, 0x989a, 0xda53, 0x3847, 0xd416, 0xe0d0}, + {0xdd8e, 0xcf31, 0x3710, 0x7e44, 0xa511, 0x933c, 0x0cc3, 0x5145, + 0xf632, 0x5e1d, 0x038f, 0x5ce7, 0x7265, 0xda9d, 0xded6, 0x08f8}}, + {{0xe2c8, 0x91d5, 0xa5f5, 0x735f, 0x6b58, 0x56dc, 0xb39d, 0x5c4a, + 0x57d0, 0xa1c2, 0xd92f, 0x9ad4, 0xf7c4, 0x51dd, 0xaf5c, 0x0096}, + {0x1739, 0x7207, 0x7505, 0xbf35, 0x42de, 0x0a29, 0xa962, 0xdedf, + 0x53e8, 0x12bf, 0xcde7, 0xd8e2, 0x8d4d, 0x2c4b, 0xb1b1, 0x0628}, + {0x992d, 0xe3a7, 0xb422, 0xc198, 0x23ab, 0xa6ef, 0xb45d, 0x50da, + 0xa738, 0x014a, 0x2310, 0x85fb, 0x5fe8, 0x1b18, 0x1774, 0x03a7}}, + {{0x1f16, 0x2b09, 0x0236, 0xee90, 0xccf9, 0x9775, 0x8130, 0x4c91, + 0x9091, 0x310b, 0x6dc4, 0x86f6, 0xc2e8, 0xef60, 0xfc0e, 0xf3a4}, + {0x9f49, 0xac15, 0x02af, 0x110f, 0xc59d, 0x5677, 0xa1a9, 0x38d5, + 0x914f, 0xa909, 0x3a3a, 0x4a39, 0x3703, 0xea30, 0x73da, 0xffad}, + {0x15ed, 0xdd16, 0x83c7, 0x270a, 0x862f, 0xd8ad, 0xcaa1, 0x5f41, + 0x99a9, 0x3fc8, 0x7bb2, 0x360a, 0xb06d, 0xfadc, 0x1b36, 0xffa8}}, + {{0xc4e0, 0xb8fd, 0x5106, 0xe169, 0x754c, 0xa58c, 0xc413, 0x8224, + 0x5483, 0x63ec, 0xd477, 0x8473, 0x4778, 0x9281, 0x0000, 0x0000}, + {0x85e1, 0xff54, 0xb200, 0xe413, 0xf4f4, 0x4c0f, 0xfcec, 0xc183, + 0x60d3, 0x1b0c, 0x3834, 0x601c, 0x943c, 0xbe6e, 0x0002, 0x0000}, + {0xf4f8, 0xfd5e, 0x61ef, 0xece8, 0x9199, 0xe5c4, 0x05a6, 0xe6c3, + 0xc4ae, 0x8b28, 0x66b1, 0x8a95, 0x9ece, 0x8f4a, 0x0001, 0x0000}}, + {{0xeae9, 0xa1b4, 0xc6d8, 0x2411, 0x2b5a, 0x1dd0, 0x2dc9, 0xb57b, + 0x5ccd, 0x4957, 0xaf59, 0xa04b, 0x5f42, 0xab7c, 0x2826, 0x526f}, + {0xf407, 0x165a, 0xb724, 0x2f12, 0x2ea1, 0x470b, 0x4464, 0xbd35, + 0x606f, 0xd73e, 0x50d3, 0x8a7f, 0x8029, 0x7ffc, 0xbe31, 0x6cfb}, + {0x8171, 0x1f4c, 0xced2, 0x9c99, 0x6d7e, 0x5a0f, 0xfefb, 0x59e3, + 0xa0c8, 0xabd9, 0xc4c5, 0x57d3, 0xbfa3, 0x4f11, 0x96a2, 0x5a7d}}, + {{0xe068, 0x4cc0, 0x8bcd, 0xc903, 0x9e52, 0xb3e1, 0xd745, 0x0995, + 0xdd8f, 0xf14b, 0xd2ac, 0xd65a, 0xda1d, 0xa742, 0xbac5, 0x474c}, + {0x7481, 0xf2ad, 0x9757, 0x2d82, 0xb683, 0xb16b, 0x0002, 0x7b60, + 0x8f0c, 0x2594, 0x8f64, 0x3b7a, 0x3552, 0x8d9d, 0xb9d7, 0x67eb}, + {0xcaab, 0xb9a1, 0xf966, 0xe311, 0x5b34, 0x0fa0, 0x6abc, 0x8134, + 0xab3d, 0x90f6, 0x1984, 0x9232, 0xec17, 0x74e5, 0x2ceb, 0x434e}}, + {{0x0fb1, 0x7a55, 0x1a5c, 0x53eb, 0xd7b3, 0x7a01, 0xca32, 0x31f6, + 0x3b74, 0x679e, 0x1501, 0x6c57, 0xdb20, 0x8b7c, 0xd7d0, 0x8097}, + {0xb127, 0xb20c, 0xe3a2, 0x96f3, 0xe0d8, 0xd50c, 0x14b4, 0x0b40, + 0x6eeb, 0xa258, 0x99db, 0x3c8c, 0x0f51, 0x4198, 0x3887, 0xffd0}, + {0x0273, 0x9f8c, 0x9669, 0xbbba, 0x1c49, 0x767c, 0xc2af, 0x59f0, + 0x1366, 0xd397, 0x63ac, 0x6fe8, 0x1a9a, 0x1259, 0x01d0, 0x0016}}, + {{0x7876, 0x2a35, 0xa24a, 0x433e, 0x5501, 0x573c, 0xd76d, 0xcb82, + 0x1334, 0xb4a6, 0xf290, 0xc797, 0xeae9, 0x2b83, 0x1e2b, 0x8b14}, + {0x3885, 0x8aef, 0x9dea, 0x2b8c, 0xdd7c, 0xd7cd, 0xb0cc, 0x05ee, + 0x361b, 0x3800, 0xb0d4, 0x4c23, 0xbd3f, 0x5180, 0x9783, 0xff80}, + {0xab36, 0x3104, 0xdae8, 0x0704, 0x4a28, 0x6714, 0x824b, 0x0051, + 0x8134, 0x1f6a, 0x712d, 0x1f03, 0x03b2, 0xecac, 0x377d, 0xfef9}} + }; + + int i, j, ok; + + /* Test known inputs/outputs */ + for (i = 0; (size_t)i < sizeof(CASES) / sizeof(CASES[0]); ++i) { + uint16_t out[16]; + test_modinv32_uint16(out, CASES[i][0], CASES[i][1]); + for (j = 0; j < 16; ++j) CHECK(out[j] == CASES[i][2][j]); +#ifdef SECP256K1_WIDEMUL_INT128 + test_modinv64_uint16(out, CASES[i][0], CASES[i][1]); + for (j = 0; j < 16; ++j) CHECK(out[j] == CASES[i][2][j]); +#endif + } + + for (i = 0; i < 100 * COUNT; ++i) { + /* 256-bit numbers in 16-uint16_t's notation */ + static const uint16_t ZERO[16] = {0}; + uint16_t xd[16]; /* the number (in range [0,2^256)) to be inverted */ + uint16_t md[16]; /* the modulus (odd, in range [3,2^256)) */ + uint16_t id[16]; /* the inverse of xd mod md */ + + /* generate random xd and md, so that md is odd, md>1, xd>= 16; + } +} + +/* Negate a 256-bit number (represented as 16 uint16_t's in LE order) mod 2^256. */ +static void neg256(uint16_t* out, const uint16_t* a) { + int i; + uint32_t carry = 1; + for (i = 0; i < 16; ++i) { + carry += (uint16_t)~a[i]; + out[i] = carry; + carry >>= 16; + } +} + +/* Right-shift a 256-bit number (represented as 16 uint16_t's in LE order). */ +static void rshift256(uint16_t* out, const uint16_t* a, int n, int sign_extend) { + uint16_t sign = sign_extend && (a[15] >> 15); + int i, j; + for (i = 15; i >= 0; --i) { + uint16_t v = 0; + for (j = 0; j < 16; ++j) { + int frompos = i*16 + j + n; + if (frompos >= 256) { + v |= sign << j; + } else { + v |= ((uint16_t)((a[frompos >> 4] >> (frompos & 15)) & 1)) << j; + } + } + out[i] = v; + } +} + +/* Load a 64-bit unsigned integer into an array of 16 uint16_t's in LE order representing a 256-bit value. */ +static void load256u64(uint16_t* out, uint64_t v, int is_signed) { + int i; + uint64_t sign = is_signed && (v >> 63) ? UINT64_MAX : 0; + for (i = 0; i < 4; ++i) { + out[i] = v >> (16 * i); + } + for (i = 4; i < 16; ++i) { + out[i] = sign; + } +} + +/* Load a 128-bit unsigned integer into an array of 16 uint16_t's in LE order representing a 256-bit value. */ +static void load256two64(uint16_t* out, uint64_t hi, uint64_t lo, int is_signed) { int i; - for (i = 0; i < 100*count; i++) { - test_num_negate(); - test_num_add_sub(); - test_num_mod(); - test_num_jacobi(); + uint64_t sign = is_signed && (hi >> 63) ? UINT64_MAX : 0; + for (i = 0; i < 4; ++i) { + out[i] = lo >> (16 * i); + } + for (i = 4; i < 8; ++i) { + out[i] = hi >> (16 * (i - 4)); + } + for (i = 8; i < 16; ++i) { + out[i] = sign; + } +} + +/* Check whether the 256-bit value represented by array of 16-bit values is in range -2^127 < v < 2^127. */ +static int int256is127(const uint16_t* v) { + int all_0 = ((v[7] & 0x8000) == 0), all_1 = ((v[7] & 0x8000) == 0x8000); + int i; + for (i = 8; i < 16; ++i) { + if (v[i] != 0) all_0 = 0; + if (v[i] != 0xffff) all_1 = 0; + } + return all_0 || all_1; +} + +static void load256u128(uint16_t* out, const secp256k1_uint128* v) { + uint64_t lo = secp256k1_u128_to_u64(v), hi = secp256k1_u128_hi_u64(v); + load256two64(out, hi, lo, 0); +} + +static void load256i128(uint16_t* out, const secp256k1_int128* v) { + uint64_t lo; + int64_t hi; + secp256k1_int128 c = *v; + lo = secp256k1_i128_to_u64(&c); + secp256k1_i128_rshift(&c, 64); + hi = secp256k1_i128_to_i64(&c); + load256two64(out, hi, lo, 1); +} + +static void run_int128_test_case(void) { + unsigned char buf[32]; + uint64_t v[4]; + secp256k1_int128 swa, swz; + secp256k1_uint128 uwa, uwz; + uint64_t ub, uc; + int64_t sb, sc; + uint16_t rswa[16], rswz[32], rswr[32], ruwa[16], ruwz[32], ruwr[32]; + uint16_t rub[16], ruc[16], rsb[16], rsc[16]; + int i; + + /* Generate 32-byte random value. */ + testrand256_test(buf); + /* Convert into 4 64-bit integers. */ + for (i = 0; i < 4; ++i) { + uint64_t vi = 0; + int j; + for (j = 0; j < 8; ++j) vi = (vi << 8) + buf[8*i + j]; + v[i] = vi; + } + /* Convert those into a 128-bit value and two 64-bit values (signed and unsigned). */ + secp256k1_u128_load(&uwa, v[1], v[0]); + secp256k1_i128_load(&swa, v[1], v[0]); + ub = v[2]; + sb = v[2]; + uc = v[3]; + sc = v[3]; + /* Load those also into 16-bit array representations. */ + load256u128(ruwa, &uwa); + load256i128(rswa, &swa); + load256u64(rub, ub, 0); + load256u64(rsb, sb, 1); + load256u64(ruc, uc, 0); + load256u64(rsc, sc, 1); + /* test secp256k1_u128_mul */ + mulmod256(ruwr, rub, ruc, NULL); + secp256k1_u128_mul(&uwz, ub, uc); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_accum_mul */ + mulmod256(ruwr, rub, ruc, NULL); + add256(ruwr, ruwr, ruwa); + uwz = uwa; + secp256k1_u128_accum_mul(&uwz, ub, uc); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_accum_u64 */ + add256(ruwr, rub, ruwa); + uwz = uwa; + secp256k1_u128_accum_u64(&uwz, ub); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_rshift */ + rshift256(ruwr, ruwa, uc % 128, 0); + uwz = uwa; + secp256k1_u128_rshift(&uwz, uc % 128); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_to_u64 */ + CHECK(secp256k1_u128_to_u64(&uwa) == v[0]); + /* test secp256k1_u128_hi_u64 */ + CHECK(secp256k1_u128_hi_u64(&uwa) == v[1]); + /* test secp256k1_u128_from_u64 */ + secp256k1_u128_from_u64(&uwz, ub); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(rub, ruwz, 16) == 0); + /* test secp256k1_u128_check_bits */ + { + int uwa_bits = 0; + int j; + for (j = 0; j < 128; ++j) { + if (ruwa[j / 16] >> (j % 16)) uwa_bits = 1 + j; + } + for (j = 0; j < 128; ++j) { + CHECK(secp256k1_u128_check_bits(&uwa, j) == (uwa_bits <= j)); + } + } + /* test secp256k1_i128_mul */ + mulmod256(rswr, rsb, rsc, NULL); + secp256k1_i128_mul(&swz, sb, sc); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + /* test secp256k1_i128_accum_mul */ + mulmod256(rswr, rsb, rsc, NULL); + add256(rswr, rswr, rswa); + if (int256is127(rswr)) { + swz = swa; + secp256k1_i128_accum_mul(&swz, sb, sc); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + } + /* test secp256k1_i128_det */ + { + uint16_t rsd[16], rse[16], rst[32]; + int64_t sd = v[0], se = v[1]; + load256u64(rsd, sd, 1); + load256u64(rse, se, 1); + mulmod256(rst, rsc, rsd, NULL); + neg256(rst, rst); + mulmod256(rswr, rsb, rse, NULL); + add256(rswr, rswr, rst); + secp256k1_i128_det(&swz, sb, sc, sd, se); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + } + /* test secp256k1_i128_rshift */ + rshift256(rswr, rswa, uc % 127, 1); + swz = swa; + secp256k1_i128_rshift(&swz, uc % 127); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + /* test secp256k1_i128_to_u64 */ + CHECK(secp256k1_i128_to_u64(&swa) == v[0]); + /* test secp256k1_i128_from_i64 */ + secp256k1_i128_from_i64(&swz, sb); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rsb, rswz, 16) == 0); + /* test secp256k1_i128_to_i64 */ + CHECK(secp256k1_i128_to_i64(&swz) == sb); + /* test secp256k1_i128_eq_var */ + { + int expect = (uc & 1); + swz = swa; + if (!expect) { + /* Make sure swz != swa */ + uint64_t v0c = v[0], v1c = v[1]; + if (ub & 64) { + v1c ^= (((uint64_t)1) << (ub & 63)); + } else { + v0c ^= (((uint64_t)1) << (ub & 63)); + } + secp256k1_i128_load(&swz, v1c, v0c); + } + CHECK(secp256k1_i128_eq_var(&swa, &swz) == expect); + } + /* test secp256k1_i128_check_pow2 (sign == 1) */ + { + int expect = (uc & 1); + int pos = ub % 127; + if (expect) { + /* If expect==1, set swz to exactly 2^pos. */ + uint64_t hi = 0; + uint64_t lo = 0; + if (pos >= 64) { + hi = (((uint64_t)1) << (pos & 63)); + } else { + lo = (((uint64_t)1) << (pos & 63)); + } + secp256k1_i128_load(&swz, hi, lo); + } else { + /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal 2^pos. */ + if (pos >= 64) { + if ((v[1] == (((uint64_t)1) << (pos & 63))) && v[0] == 0) expect = 1; + } else { + if ((v[0] == (((uint64_t)1) << (pos & 63))) && v[1] == 0) expect = 1; + } + swz = swa; + } + CHECK(secp256k1_i128_check_pow2(&swz, pos, 1) == expect); + } + /* test secp256k1_i128_check_pow2 (sign == -1) */ + { + int expect = (uc & 1); + int pos = ub % 127; + if (expect) { + /* If expect==1, set swz to exactly -2^pos. */ + uint64_t hi = ~(uint64_t)0; + uint64_t lo = ~(uint64_t)0; + if (pos >= 64) { + hi <<= (pos & 63); + lo = 0; + } else { + lo <<= (pos & 63); + } + secp256k1_i128_load(&swz, hi, lo); + } else { + /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal -2^pos. */ + if (pos >= 64) { + if ((v[1] == ((~(uint64_t)0) << (pos & 63))) && v[0] == 0) expect = 1; + } else { + if ((v[0] == ((~(uint64_t)0) << (pos & 63))) && v[1] == ~(uint64_t)0) expect = 1; + } + swz = swa; + } + CHECK(secp256k1_i128_check_pow2(&swz, pos, -1) == expect); + } +} + +static void run_int128_tests(void) { + { /* secp256k1_u128_accum_mul */ + secp256k1_uint128 res; + + /* Check secp256k1_u128_accum_mul overflow */ + secp256k1_u128_mul(&res, UINT64_MAX, UINT64_MAX); + secp256k1_u128_accum_mul(&res, UINT64_MAX, UINT64_MAX); + CHECK(secp256k1_u128_to_u64(&res) == 2); + CHECK(secp256k1_u128_hi_u64(&res) == 18446744073709551612U); + } + { /* secp256k1_u128_accum_mul */ + secp256k1_int128 res; + + /* Compute INT128_MAX = 2^127 - 1 with secp256k1_i128_accum_mul */ + secp256k1_i128_mul(&res, INT64_MAX, INT64_MAX); + secp256k1_i128_accum_mul(&res, INT64_MAX, INT64_MAX); + CHECK(secp256k1_i128_to_u64(&res) == 2); + secp256k1_i128_accum_mul(&res, 4, 9223372036854775807); + secp256k1_i128_accum_mul(&res, 1, 1); + CHECK(secp256k1_i128_to_u64(&res) == UINT64_MAX); + secp256k1_i128_rshift(&res, 64); + CHECK(secp256k1_i128_to_i64(&res) == INT64_MAX); + + /* Compute INT128_MIN = - 2^127 with secp256k1_i128_accum_mul */ + secp256k1_i128_mul(&res, INT64_MAX, INT64_MIN); + CHECK(secp256k1_i128_to_u64(&res) == (uint64_t)INT64_MIN); + secp256k1_i128_accum_mul(&res, INT64_MAX, INT64_MIN); + CHECK(secp256k1_i128_to_u64(&res) == 0); + secp256k1_i128_accum_mul(&res, 2, INT64_MIN); + CHECK(secp256k1_i128_to_u64(&res) == 0); + secp256k1_i128_rshift(&res, 64); + CHECK(secp256k1_i128_to_i64(&res) == INT64_MIN); + } + { + /* Randomized tests. */ + int i; + for (i = 0; i < 256 * COUNT; ++i) run_int128_test_case(); } } #endif /***** SCALAR TESTS *****/ -void scalar_test(void) { +static void scalar_test(void) { secp256k1_scalar s; secp256k1_scalar s1; secp256k1_scalar s2; -#ifndef USE_NUM_NONE - secp256k1_num snum, s1num, s2num; - secp256k1_num order, half_order; -#endif unsigned char c[32]; /* Set 's' to a random scalar, with value 'snum'. */ - random_scalar_order_test(&s); + testutil_random_scalar_order_test(&s); /* Set 's1' to a random scalar, with value 's1num'. */ - random_scalar_order_test(&s1); + testutil_random_scalar_order_test(&s1); /* Set 's2' to a random scalar, with value 'snum2', and byte array representation 'c'. */ - random_scalar_order_test(&s2); + testutil_random_scalar_order_test(&s2); secp256k1_scalar_get_b32(c, &s2); -#ifndef USE_NUM_NONE - secp256k1_scalar_get_num(&snum, &s); - secp256k1_scalar_get_num(&s1num, &s1); - secp256k1_scalar_get_num(&s2num, &s2); - - secp256k1_scalar_order_get_num(&order); - half_order = order; - secp256k1_num_shift(&half_order, 1); -#endif - { int i; /* Test that fetching groups of 4 bits from a scalar and recursing n(i)=16*n(i-1)+p(i) reconstructs it. */ @@ -816,7 +2034,7 @@ void scalar_test(void) { for (i = 0; i < 256; i += 4) { secp256k1_scalar t; int j; - secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits(&s, 256 - 4 - i, 4)); + secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits_limb32(&s, 256 - 4 - i, 4)); for (j = 0; j < 4; j++) { secp256k1_scalar_add(&n, &n, &n); } @@ -833,7 +2051,7 @@ void scalar_test(void) { while (i < 256) { secp256k1_scalar t; int j; - int now = secp256k1_rand_int(15) + 1; + int now = testrand_int(15) + 1; if (now + i > 256) { now = 256 - i; } @@ -847,122 +2065,6 @@ void scalar_test(void) { CHECK(secp256k1_scalar_eq(&n, &s)); } -#ifndef USE_NUM_NONE - { - /* Test that adding the scalars together is equal to adding their numbers together modulo the order. */ - secp256k1_num rnum; - secp256k1_num r2num; - secp256k1_scalar r; - secp256k1_num_add(&rnum, &snum, &s2num); - secp256k1_num_mod(&rnum, &order); - secp256k1_scalar_add(&r, &s, &s2); - secp256k1_scalar_get_num(&r2num, &r); - CHECK(secp256k1_num_eq(&rnum, &r2num)); - } - - { - /* Test that multiplying the scalars is equal to multiplying their numbers modulo the order. */ - secp256k1_scalar r; - secp256k1_num r2num; - secp256k1_num rnum; - secp256k1_num_mul(&rnum, &snum, &s2num); - secp256k1_num_mod(&rnum, &order); - secp256k1_scalar_mul(&r, &s, &s2); - secp256k1_scalar_get_num(&r2num, &r); - CHECK(secp256k1_num_eq(&rnum, &r2num)); - /* The result can only be zero if at least one of the factors was zero. */ - CHECK(secp256k1_scalar_is_zero(&r) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_zero(&s2))); - /* The results can only be equal to one of the factors if that factor was zero, or the other factor was one. */ - CHECK(secp256k1_num_eq(&rnum, &snum) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_one(&s2))); - CHECK(secp256k1_num_eq(&rnum, &s2num) == (secp256k1_scalar_is_zero(&s2) || secp256k1_scalar_is_one(&s))); - } - - { - secp256k1_scalar neg; - secp256k1_num negnum; - secp256k1_num negnum2; - /* Check that comparison with zero matches comparison with zero on the number. */ - CHECK(secp256k1_num_is_zero(&snum) == secp256k1_scalar_is_zero(&s)); - /* Check that comparison with the half order is equal to testing for high scalar. */ - CHECK(secp256k1_scalar_is_high(&s) == (secp256k1_num_cmp(&snum, &half_order) > 0)); - secp256k1_scalar_negate(&neg, &s); - secp256k1_num_sub(&negnum, &order, &snum); - secp256k1_num_mod(&negnum, &order); - /* Check that comparison with the half order is equal to testing for high scalar after negation. */ - CHECK(secp256k1_scalar_is_high(&neg) == (secp256k1_num_cmp(&negnum, &half_order) > 0)); - /* Negating should change the high property, unless the value was already zero. */ - CHECK((secp256k1_scalar_is_high(&s) == secp256k1_scalar_is_high(&neg)) == secp256k1_scalar_is_zero(&s)); - secp256k1_scalar_get_num(&negnum2, &neg); - /* Negating a scalar should be equal to (order - n) mod order on the number. */ - CHECK(secp256k1_num_eq(&negnum, &negnum2)); - secp256k1_scalar_add(&neg, &neg, &s); - /* Adding a number to its negation should result in zero. */ - CHECK(secp256k1_scalar_is_zero(&neg)); - secp256k1_scalar_negate(&neg, &neg); - /* Negating zero should still result in zero. */ - CHECK(secp256k1_scalar_is_zero(&neg)); - } - - { - /* Test secp256k1_scalar_mul_shift_var. */ - secp256k1_scalar r; - secp256k1_num one; - secp256k1_num rnum; - secp256k1_num rnum2; - unsigned char cone[1] = {0x01}; - unsigned int shift = 256 + secp256k1_rand_int(257); - secp256k1_scalar_mul_shift_var(&r, &s1, &s2, shift); - secp256k1_num_mul(&rnum, &s1num, &s2num); - secp256k1_num_shift(&rnum, shift - 1); - secp256k1_num_set_bin(&one, cone, 1); - secp256k1_num_add(&rnum, &rnum, &one); - secp256k1_num_shift(&rnum, 1); - secp256k1_scalar_get_num(&rnum2, &r); - CHECK(secp256k1_num_eq(&rnum, &rnum2)); - } - - { - /* test secp256k1_scalar_shr_int */ - secp256k1_scalar r; - int i; - random_scalar_order_test(&r); - for (i = 0; i < 100; ++i) { - int low; - int shift = 1 + secp256k1_rand_int(15); - int expected = r.d[0] % (1 << shift); - low = secp256k1_scalar_shr_int(&r, shift); - CHECK(expected == low); - } - } -#endif - - { - /* Test that scalar inverses are equal to the inverse of their number modulo the order. */ - if (!secp256k1_scalar_is_zero(&s)) { - secp256k1_scalar inv; -#ifndef USE_NUM_NONE - secp256k1_num invnum; - secp256k1_num invnum2; -#endif - secp256k1_scalar_inverse(&inv, &s); -#ifndef USE_NUM_NONE - secp256k1_num_mod_inverse(&invnum, &snum, &order); - secp256k1_scalar_get_num(&invnum2, &inv); - CHECK(secp256k1_num_eq(&invnum, &invnum2)); -#endif - secp256k1_scalar_mul(&inv, &inv, &s); - /* Multiplying a scalar with its inverse must result in one. */ - CHECK(secp256k1_scalar_is_one(&inv)); - secp256k1_scalar_inverse(&inv, &inv); - /* Inverting one must result in one. */ - CHECK(secp256k1_scalar_is_one(&inv)); -#ifndef USE_NUM_NONE - secp256k1_scalar_get_num(&invnum, &inv); - CHECK(secp256k1_num_is_one(&invnum)); -#endif - } - } - { /* Test commutativity of add. */ secp256k1_scalar r1, r2; @@ -976,7 +2078,7 @@ void scalar_test(void) { secp256k1_scalar b; int i; /* Test add_bit. */ - int bit = secp256k1_rand_bits(8); + int bit = testrand_bits(8); secp256k1_scalar_set_int(&b, 1); CHECK(secp256k1_scalar_is_one(&b)); for (i = 0; i < bit; i++) { @@ -1033,72 +2135,117 @@ void scalar_test(void) { CHECK(secp256k1_scalar_eq(&r1, &r2)); } - { - /* Test square. */ - secp256k1_scalar r1, r2; - secp256k1_scalar_sqr(&r1, &s1); - secp256k1_scalar_mul(&r2, &s1, &s1); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - { /* Test multiplicative identity. */ - secp256k1_scalar r1, v1; - secp256k1_scalar_set_int(&v1,1); - secp256k1_scalar_mul(&r1, &s1, &v1); + secp256k1_scalar r1; + secp256k1_scalar_mul(&r1, &s1, &secp256k1_scalar_one); CHECK(secp256k1_scalar_eq(&r1, &s1)); } { /* Test additive identity. */ - secp256k1_scalar r1, v0; - secp256k1_scalar_set_int(&v0,0); - secp256k1_scalar_add(&r1, &s1, &v0); + secp256k1_scalar r1; + secp256k1_scalar_add(&r1, &s1, &secp256k1_scalar_zero); CHECK(secp256k1_scalar_eq(&r1, &s1)); } { /* Test zero product property. */ - secp256k1_scalar r1, v0; - secp256k1_scalar_set_int(&v0,0); - secp256k1_scalar_mul(&r1, &s1, &v0); - CHECK(secp256k1_scalar_eq(&r1, &v0)); + secp256k1_scalar r1; + secp256k1_scalar_mul(&r1, &s1, &secp256k1_scalar_zero); + CHECK(secp256k1_scalar_eq(&r1, &secp256k1_scalar_zero)); } + { + /* Test halving. */ + secp256k1_scalar r; + secp256k1_scalar_add(&r, &s, &s); + secp256k1_scalar_half(&r, &r); + CHECK(secp256k1_scalar_eq(&r, &s)); + } +} + +static void run_scalar_set_b32_seckey_tests(void) { + unsigned char b32[32]; + secp256k1_scalar s1; + secp256k1_scalar s2; + + /* Usually set_b32 and set_b32_seckey give the same result */ + testutil_random_scalar_order_b32(b32); + secp256k1_scalar_set_b32(&s1, b32, NULL); + CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 1); + CHECK(secp256k1_scalar_eq(&s1, &s2) == 1); + + memset(b32, 0, sizeof(b32)); + CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 0); + memset(b32, 0xFF, sizeof(b32)); + CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 0); } -void run_scalar_tests(void) { +static void run_scalar_tests(void) { int i; - for (i = 0; i < 128 * count; i++) { + for (i = 0; i < 128 * COUNT; i++) { scalar_test(); } + for (i = 0; i < COUNT; i++) { + run_scalar_set_b32_seckey_tests(); + } + + { + /* Check that the scalar constants secp256k1_scalar_zero and + secp256k1_scalar_one contain the expected values. */ + secp256k1_scalar zero, one; + + CHECK(secp256k1_scalar_is_zero(&secp256k1_scalar_zero)); + secp256k1_scalar_set_int(&zero, 0); + CHECK(secp256k1_scalar_eq(&zero, &secp256k1_scalar_zero)); + + CHECK(secp256k1_scalar_is_one(&secp256k1_scalar_one)); + secp256k1_scalar_set_int(&one, 1); + CHECK(secp256k1_scalar_eq(&one, &secp256k1_scalar_one)); + } { /* (-1)+1 should be zero. */ - secp256k1_scalar s, o; - secp256k1_scalar_set_int(&s, 1); - CHECK(secp256k1_scalar_is_one(&s)); - secp256k1_scalar_negate(&o, &s); - secp256k1_scalar_add(&o, &o, &s); + secp256k1_scalar o; + secp256k1_scalar_negate(&o, &secp256k1_scalar_one); + secp256k1_scalar_add(&o, &o, &secp256k1_scalar_one); CHECK(secp256k1_scalar_is_zero(&o)); secp256k1_scalar_negate(&o, &o); CHECK(secp256k1_scalar_is_zero(&o)); } -#ifndef USE_NUM_NONE { - /* A scalar with value of the curve order should be 0. */ - secp256k1_num order; - secp256k1_scalar zero; - unsigned char bin[32]; - int overflow = 0; - secp256k1_scalar_order_get_num(&order); - secp256k1_num_get_bin(bin, 32, &order); - secp256k1_scalar_set_b32(&zero, bin, &overflow); - CHECK(overflow == 1); - CHECK(secp256k1_scalar_is_zero(&zero)); + /* Test that halving and doubling roundtrips on some fixed values. */ + static const secp256k1_scalar HALF_TESTS[] = { + /* 0 */ + SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0), + /* 1 */ + SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1), + /* -1 */ + SECP256K1_SCALAR_CONST(0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffeul, 0xbaaedce6ul, 0xaf48a03bul, 0xbfd25e8cul, 0xd0364140ul), + /* -2 (largest odd value) */ + SECP256K1_SCALAR_CONST(0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffeul, 0xbaaedce6ul, 0xaf48a03bul, 0xbfd25e8cul, 0xd036413Ful), + /* Half the secp256k1 order */ + SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0x5d576e73ul, 0x57a4501dul, 0xdfe92f46ul, 0x681b20a0ul), + /* Half the secp256k1 order + 1 */ + SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0x5d576e73ul, 0x57a4501dul, 0xdfe92f46ul, 0x681b20a1ul), + /* 2^255 */ + SECP256K1_SCALAR_CONST(0x80000000ul, 0, 0, 0, 0, 0, 0, 0), + /* 2^255 - 1 */ + SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful), + }; + unsigned n; + for (n = 0; n < sizeof(HALF_TESTS) / sizeof(HALF_TESTS[0]); ++n) { + secp256k1_scalar s; + secp256k1_scalar_half(&s, &HALF_TESTS[n]); + secp256k1_scalar_add(&s, &s, &s); + CHECK(secp256k1_scalar_eq(&s, &HALF_TESTS[n])); + secp256k1_scalar_add(&s, &s, &s); + secp256k1_scalar_half(&s, &s); + CHECK(secp256k1_scalar_eq(&s, &HALF_TESTS[n])); + } } -#endif { /* Does check_overflow check catch all ones? */ @@ -1119,12 +2266,9 @@ void run_scalar_tests(void) { secp256k1_scalar y; secp256k1_scalar z; secp256k1_scalar zz; - secp256k1_scalar one; secp256k1_scalar r1; secp256k1_scalar r2; -#if defined(USE_SCALAR_INV_NUM) secp256k1_scalar zzv; -#endif int overflow; unsigned char chal[33][2][32] = { {{0xff, 0xff, 0x03, 0x07, 0x00, 0x00, 0x00, 0x00, @@ -1658,7 +2802,6 @@ void run_scalar_tests(void) { 0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46, 0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}} }; - secp256k1_scalar_set_int(&one, 1); for (i = 0; i < 33; i++) { secp256k1_scalar_set_b32(&x, chal[i][0], &overflow); CHECK(!overflow); @@ -1669,91 +2812,40 @@ void run_scalar_tests(void) { secp256k1_scalar_set_b32(&r2, res[i][1], &overflow); CHECK(!overflow); secp256k1_scalar_mul(&z, &x, &y); - CHECK(!secp256k1_scalar_check_overflow(&z)); CHECK(secp256k1_scalar_eq(&r1, &z)); if (!secp256k1_scalar_is_zero(&y)) { secp256k1_scalar_inverse(&zz, &y); - CHECK(!secp256k1_scalar_check_overflow(&zz)); -#if defined(USE_SCALAR_INV_NUM) secp256k1_scalar_inverse_var(&zzv, &y); CHECK(secp256k1_scalar_eq(&zzv, &zz)); -#endif secp256k1_scalar_mul(&z, &z, &zz); - CHECK(!secp256k1_scalar_check_overflow(&z)); CHECK(secp256k1_scalar_eq(&x, &z)); secp256k1_scalar_mul(&zz, &zz, &y); - CHECK(!secp256k1_scalar_check_overflow(&zz)); - CHECK(secp256k1_scalar_eq(&one, &zz)); + CHECK(secp256k1_scalar_eq(&secp256k1_scalar_one, &zz)); } secp256k1_scalar_mul(&z, &x, &x); - CHECK(!secp256k1_scalar_check_overflow(&z)); - secp256k1_scalar_sqr(&zz, &x); - CHECK(!secp256k1_scalar_check_overflow(&zz)); - CHECK(secp256k1_scalar_eq(&zz, &z)); - CHECK(secp256k1_scalar_eq(&r2, &zz)); + CHECK(secp256k1_scalar_eq(&r2, &z)); } } } /***** FIELD TESTS *****/ -void random_fe(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_rand256(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} - -void random_fe_test(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_rand256_test(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} - -void random_fe_non_zero(secp256k1_fe *nz) { - int tries = 10; - while (--tries >= 0) { - random_fe(nz); - secp256k1_fe_normalize(nz); - if (!secp256k1_fe_is_zero(nz)) { - break; - } - } - /* Infinitesimal probability of spurious failure here */ - CHECK(tries >= 0); -} - -void random_fe_non_square(secp256k1_fe *ns) { +static void random_fe_non_square(secp256k1_fe *ns) { secp256k1_fe r; - random_fe_non_zero(ns); + testutil_random_fe_non_zero(ns); if (secp256k1_fe_sqrt(&r, ns)) { secp256k1_fe_negate(ns, ns, 1); } } -int check_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { +static int fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { secp256k1_fe an = *a; secp256k1_fe bn = *b; secp256k1_fe_normalize_weak(&an); - secp256k1_fe_normalize_var(&bn); - return secp256k1_fe_equal_var(&an, &bn); + return secp256k1_fe_equal(&an, &bn); } -int check_fe_inverse(const secp256k1_fe *a, const secp256k1_fe *ai) { - secp256k1_fe x; - secp256k1_fe one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_fe_mul(&x, a, ai); - return check_fe_equal(&x, &one); -} - -void run_field_convert(void) { +static void run_field_convert(void) { static const unsigned char b32[32] = { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, @@ -1772,70 +2864,203 @@ void run_field_convert(void) { unsigned char b322[32]; secp256k1_fe_storage fes2; /* Check conversions to fe. */ - CHECK(secp256k1_fe_set_b32(&fe2, b32)); - CHECK(secp256k1_fe_equal_var(&fe, &fe2)); + CHECK(secp256k1_fe_set_b32_limit(&fe2, b32)); + CHECK(secp256k1_fe_equal(&fe, &fe2)); secp256k1_fe_from_storage(&fe2, &fes); - CHECK(secp256k1_fe_equal_var(&fe, &fe2)); + CHECK(secp256k1_fe_equal(&fe, &fe2)); /* Check conversion from fe. */ secp256k1_fe_get_b32(b322, &fe); - CHECK(memcmp(b322, b32, 32) == 0); + CHECK(secp256k1_memcmp_var(b322, b32, 32) == 0); secp256k1_fe_to_storage(&fes2, &fe); - CHECK(memcmp(&fes2, &fes, sizeof(fes)) == 0); + CHECK(secp256k1_memcmp_var(&fes2, &fes, sizeof(fes)) == 0); } -int fe_memcmp(const secp256k1_fe *a, const secp256k1_fe *b) { - secp256k1_fe t = *b; +static void run_field_be32_overflow(void) { + { + static const unsigned char zero_overflow[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F, + }; + static const unsigned char zero[32] = { 0x00 }; + unsigned char out[32]; + secp256k1_fe fe; + CHECK(secp256k1_fe_set_b32_limit(&fe, zero_overflow) == 0); + secp256k1_fe_set_b32_mod(&fe, zero_overflow); + CHECK(secp256k1_fe_normalizes_to_zero(&fe) == 1); + secp256k1_fe_normalize(&fe); + CHECK(secp256k1_fe_is_zero(&fe) == 1); + secp256k1_fe_get_b32(out, &fe); + CHECK(secp256k1_memcmp_var(out, zero, 32) == 0); + } + { + static const unsigned char one_overflow[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30, + }; + static const unsigned char one[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + }; + unsigned char out[32]; + secp256k1_fe fe; + CHECK(secp256k1_fe_set_b32_limit(&fe, one_overflow) == 0); + secp256k1_fe_set_b32_mod(&fe, one_overflow); + secp256k1_fe_normalize(&fe); + CHECK(secp256k1_fe_cmp_var(&fe, &secp256k1_fe_one) == 0); + secp256k1_fe_get_b32(out, &fe); + CHECK(secp256k1_memcmp_var(out, one, 32) == 0); + } + { + static const unsigned char ff_overflow[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + }; + static const unsigned char ff[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x03, 0xD0, + }; + unsigned char out[32]; + secp256k1_fe fe; + const secp256k1_fe fe_ff = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0x01, 0x000003d0); + CHECK(secp256k1_fe_set_b32_limit(&fe, ff_overflow) == 0); + secp256k1_fe_set_b32_mod(&fe, ff_overflow); + secp256k1_fe_normalize(&fe); + CHECK(secp256k1_fe_cmp_var(&fe, &fe_ff) == 0); + secp256k1_fe_get_b32(out, &fe); + CHECK(secp256k1_memcmp_var(out, ff, 32) == 0); + } +} + +/* Returns true if two field elements have the same representation. */ +static int fe_identical(const secp256k1_fe *a, const secp256k1_fe *b) { + int ret = 1; + /* Compare the struct member that holds the limbs. */ + ret &= (secp256k1_memcmp_var(a->n, b->n, sizeof(a->n)) == 0); + return ret; +} + +static void run_field_half(void) { + secp256k1_fe t, u; + int m; + + /* Check magnitude 0 input */ + secp256k1_fe_get_bounds(&t, 0); + secp256k1_fe_half(&t); +#ifdef VERIFY + CHECK(t.magnitude == 1); + CHECK(t.normalized == 0); +#endif + CHECK(secp256k1_fe_normalizes_to_zero(&t)); + + /* Check non-zero magnitudes in the supported range */ + for (m = 1; m < 32; m++) { + /* Check max-value input */ + secp256k1_fe_get_bounds(&t, m); + + u = t; + secp256k1_fe_half(&u); #ifdef VERIFY - t.magnitude = a->magnitude; - t.normalized = a->normalized; + CHECK(u.magnitude == (m >> 1) + 1); + CHECK(u.normalized == 0); #endif - return memcmp(a, &t, sizeof(secp256k1_fe)); + secp256k1_fe_normalize_weak(&u); + secp256k1_fe_add(&u, &u); + CHECK(fe_equal(&t, &u)); + + /* Check worst-case input: ensure the LSB is 1 so that P will be added, + * which will also cause all carries to be 1, since all limbs that can + * generate a carry are initially even and all limbs of P are odd in + * every existing field implementation. */ + secp256k1_fe_get_bounds(&t, m); + CHECK(t.n[0] > 0); + CHECK((t.n[0] & 1) == 0); + --t.n[0]; + + u = t; + secp256k1_fe_half(&u); +#ifdef VERIFY + CHECK(u.magnitude == (m >> 1) + 1); + CHECK(u.normalized == 0); +#endif + secp256k1_fe_normalize_weak(&u); + secp256k1_fe_add(&u, &u); + CHECK(fe_equal(&t, &u)); + } } -void run_field_misc(void) { +static void run_field_misc(void) { secp256k1_fe x; secp256k1_fe y; secp256k1_fe z; secp256k1_fe q; + int v; secp256k1_fe fe5 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 5); int i, j; - for (i = 0; i < 5*count; i++) { + for (i = 0; i < 1000 * COUNT; i++) { secp256k1_fe_storage xs, ys, zs; - random_fe(&x); - random_fe_non_zero(&y); + if (i & 1) { + testutil_random_fe(&x); + } else { + testutil_random_fe_test(&x); + } + testutil_random_fe_non_zero(&y); + v = testrand_bits(15); + /* Test that fe_add_int is equivalent to fe_set_int + fe_add. */ + secp256k1_fe_set_int(&q, v); /* q = v */ + z = x; /* z = x */ + secp256k1_fe_add(&z, &q); /* z = x+v */ + q = x; /* q = x */ + secp256k1_fe_add_int(&q, v); /* q = x+v */ + CHECK(fe_equal(&q, &z)); /* Test the fe equality and comparison operations. */ CHECK(secp256k1_fe_cmp_var(&x, &x) == 0); - CHECK(secp256k1_fe_equal_var(&x, &x)); + CHECK(secp256k1_fe_equal(&x, &x)); z = x; secp256k1_fe_add(&z,&y); /* Test fe conditional move; z is not normalized here. */ q = x; secp256k1_fe_cmov(&x, &z, 0); #ifdef VERIFY - CHECK(!x.normalized && x.magnitude == z.magnitude); + CHECK(!x.normalized); + CHECK((x.magnitude == q.magnitude) || (x.magnitude == z.magnitude)); + CHECK((x.magnitude >= q.magnitude) && (x.magnitude >= z.magnitude)); #endif + x = q; secp256k1_fe_cmov(&x, &x, 1); - CHECK(fe_memcmp(&x, &z) != 0); - CHECK(fe_memcmp(&x, &q) == 0); + CHECK(!fe_identical(&x, &z)); + CHECK(fe_identical(&x, &q)); secp256k1_fe_cmov(&q, &z, 1); #ifdef VERIFY - CHECK(!q.normalized && q.magnitude == z.magnitude); + CHECK(!q.normalized); + CHECK((q.magnitude == x.magnitude) || (q.magnitude == z.magnitude)); + CHECK((q.magnitude >= x.magnitude) && (q.magnitude >= z.magnitude)); #endif - CHECK(fe_memcmp(&q, &z) == 0); + CHECK(fe_identical(&q, &z)); + q = z; secp256k1_fe_normalize_var(&x); secp256k1_fe_normalize_var(&z); - CHECK(!secp256k1_fe_equal_var(&x, &z)); + CHECK(!secp256k1_fe_equal(&x, &z)); secp256k1_fe_normalize_var(&q); secp256k1_fe_cmov(&q, &z, (i&1)); #ifdef VERIFY CHECK(q.normalized && q.magnitude == 1); #endif for (j = 0; j < 6; j++) { - secp256k1_fe_negate(&z, &z, j+1); + secp256k1_fe_negate_unchecked(&z, &z, j+1); secp256k1_fe_normalize_var(&q); secp256k1_fe_cmov(&q, &z, (j&1)); #ifdef VERIFY - CHECK(!q.normalized && q.magnitude == (j+2)); + CHECK(!q.normalized && q.magnitude == z.magnitude); #endif } secp256k1_fe_normalize_var(&z); @@ -1845,9 +3070,9 @@ void run_field_misc(void) { secp256k1_fe_to_storage(&zs, &z); secp256k1_fe_storage_cmov(&zs, &xs, 0); secp256k1_fe_storage_cmov(&zs, &zs, 1); - CHECK(memcmp(&xs, &zs, sizeof(xs)) != 0); + CHECK(secp256k1_memcmp_var(&xs, &zs, sizeof(xs)) != 0); secp256k1_fe_storage_cmov(&ys, &xs, 1); - CHECK(memcmp(&xs, &ys, sizeof(xs)) == 0); + CHECK(secp256k1_memcmp_var(&xs, &ys, sizeof(xs)) == 0); secp256k1_fe_from_storage(&x, &xs); secp256k1_fe_from_storage(&y, &ys); secp256k1_fe_from_storage(&z, &zs); @@ -1856,85 +3081,124 @@ void run_field_misc(void) { secp256k1_fe_add(&y, &x); z = x; secp256k1_fe_mul_int(&z, 3); - CHECK(check_fe_equal(&y, &z)); + CHECK(fe_equal(&y, &z)); secp256k1_fe_add(&y, &x); secp256k1_fe_add(&z, &x); - CHECK(check_fe_equal(&z, &y)); + CHECK(fe_equal(&z, &y)); z = x; secp256k1_fe_mul_int(&z, 5); secp256k1_fe_mul(&q, &x, &fe5); - CHECK(check_fe_equal(&z, &q)); + CHECK(fe_equal(&z, &q)); secp256k1_fe_negate(&x, &x, 1); secp256k1_fe_add(&z, &x); secp256k1_fe_add(&q, &x); - CHECK(check_fe_equal(&y, &z)); - CHECK(check_fe_equal(&q, &y)); + CHECK(fe_equal(&y, &z)); + CHECK(fe_equal(&q, &y)); + /* Check secp256k1_fe_half. */ + z = x; + secp256k1_fe_half(&z); + secp256k1_fe_add(&z, &z); + CHECK(fe_equal(&x, &z)); + secp256k1_fe_add(&z, &z); + secp256k1_fe_half(&z); + CHECK(fe_equal(&x, &z)); } } -void run_field_inv(void) { - secp256k1_fe x, xi, xii; +static void test_fe_mul(const secp256k1_fe* a, const secp256k1_fe* b, int use_sqr) +{ + secp256k1_fe c, an, bn; + /* Variables in BE 32-byte format. */ + unsigned char a32[32], b32[32], c32[32]; + /* Variables in LE 16x uint16_t format. */ + uint16_t a16[16], b16[16], c16[16]; + /* Field modulus in LE 16x uint16_t format. */ + static const uint16_t m16[16] = { + 0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, + }; + uint16_t t16[32]; int i; - for (i = 0; i < 10*count; i++) { - random_fe_non_zero(&x); - secp256k1_fe_inv(&xi, &x); - CHECK(check_fe_inverse(&x, &xi)); - secp256k1_fe_inv(&xii, &xi); - CHECK(check_fe_equal(&x, &xii)); + + /* Compute C = A * B in fe format. */ + c = *a; + if (use_sqr) { + secp256k1_fe_sqr(&c, &c); + } else { + secp256k1_fe_mul(&c, &c, b); } + + /* Convert A, B, C into LE 16x uint16_t format. */ + an = *a; + bn = *b; + secp256k1_fe_normalize_var(&c); + secp256k1_fe_normalize_var(&an); + secp256k1_fe_normalize_var(&bn); + secp256k1_fe_get_b32(a32, &an); + secp256k1_fe_get_b32(b32, &bn); + secp256k1_fe_get_b32(c32, &c); + for (i = 0; i < 16; ++i) { + a16[i] = a32[31 - 2*i] + ((uint16_t)a32[30 - 2*i] << 8); + b16[i] = b32[31 - 2*i] + ((uint16_t)b32[30 - 2*i] << 8); + c16[i] = c32[31 - 2*i] + ((uint16_t)c32[30 - 2*i] << 8); + } + /* Compute T = A * B in LE 16x uint16_t format. */ + mulmod256(t16, a16, b16, m16); + /* Compare */ + CHECK(secp256k1_memcmp_var(t16, c16, 32) == 0); } -void run_field_inv_var(void) { - secp256k1_fe x, xi, xii; +static void run_fe_mul(void) { int i; - for (i = 0; i < 10*count; i++) { - random_fe_non_zero(&x); - secp256k1_fe_inv_var(&xi, &x); - CHECK(check_fe_inverse(&x, &xi)); - secp256k1_fe_inv_var(&xii, &xi); - CHECK(check_fe_equal(&x, &xii)); + for (i = 0; i < 100 * COUNT; ++i) { + secp256k1_fe a, b, c, d; + testutil_random_fe(&a); + testutil_random_fe_magnitude(&a, 8); + testutil_random_fe(&b); + testutil_random_fe_magnitude(&b, 8); + testutil_random_fe_test(&c); + testutil_random_fe_magnitude(&c, 8); + testutil_random_fe_test(&d); + testutil_random_fe_magnitude(&d, 8); + test_fe_mul(&a, &a, 1); + test_fe_mul(&c, &c, 1); + test_fe_mul(&a, &b, 0); + test_fe_mul(&a, &c, 0); + test_fe_mul(&c, &b, 0); + test_fe_mul(&c, &d, 0); } } -void run_field_inv_all_var(void) { - secp256k1_fe x[16], xi[16], xii[16]; +static void run_sqr(void) { int i; - /* Check it's safe to call for 0 elements */ - secp256k1_fe_inv_all_var(xi, x, 0); - for (i = 0; i < count; i++) { - size_t j; - size_t len = secp256k1_rand_int(15) + 1; - for (j = 0; j < len; j++) { - random_fe_non_zero(&x[j]); - } - secp256k1_fe_inv_all_var(xi, x, len); - for (j = 0; j < len; j++) { - CHECK(check_fe_inverse(&x[j], &xi[j])); - } - secp256k1_fe_inv_all_var(xii, xi, len); - for (j = 0; j < len; j++) { - CHECK(check_fe_equal(&x[j], &xii[j])); - } - } -} + secp256k1_fe x, y, lhs, rhs, tmp; -void run_sqr(void) { - secp256k1_fe x, s; + secp256k1_fe_set_int(&x, 1); + secp256k1_fe_negate(&x, &x, 1); - { - int i; - secp256k1_fe_set_int(&x, 1); - secp256k1_fe_negate(&x, &x, 1); + for (i = 1; i <= 512; ++i) { + secp256k1_fe_mul_int(&x, 2); + secp256k1_fe_normalize(&x); - for (i = 1; i <= 512; ++i) { - secp256k1_fe_mul_int(&x, 2); - secp256k1_fe_normalize(&x); - secp256k1_fe_sqr(&s, &x); - } + /* Check that (x+y)*(x-y) = x^2 - y*2 for some random values y */ + testutil_random_fe_test(&y); + + lhs = x; + secp256k1_fe_add(&lhs, &y); /* lhs = x+y */ + secp256k1_fe_negate(&tmp, &y, 1); /* tmp = -y */ + secp256k1_fe_add(&tmp, &x); /* tmp = x-y */ + secp256k1_fe_mul(&lhs, &lhs, &tmp); /* lhs = (x+y)*(x-y) */ + + secp256k1_fe_sqr(&rhs, &x); /* rhs = x^2 */ + secp256k1_fe_sqr(&tmp, &y); /* tmp = y^2 */ + secp256k1_fe_negate(&tmp, &tmp, 1); /* tmp = -y^2 */ + secp256k1_fe_add(&rhs, &tmp); /* rhs = x^2 - y^2 */ + + CHECK(fe_equal(&lhs, &rhs)); } } -void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) { +static void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) { secp256k1_fe r1, r2; int v = secp256k1_fe_sqrt(&r1, a); CHECK((v == 0) == (k == NULL)); @@ -1948,53 +3212,430 @@ void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) { } } -void run_sqrt(void) { - secp256k1_fe ns, x, s, t; - int i; +static void run_sqrt(void) { + secp256k1_fe ns, x, s, t; + int i; + + /* Check sqrt(0) is 0 */ + secp256k1_fe_set_int(&x, 0); + secp256k1_fe_sqr(&s, &x); + test_sqrt(&s, &x); + + /* Check sqrt of small squares (and their negatives) */ + for (i = 1; i <= 100; i++) { + secp256k1_fe_set_int(&x, i); + secp256k1_fe_sqr(&s, &x); + test_sqrt(&s, &x); + secp256k1_fe_negate(&t, &s, 1); + test_sqrt(&t, NULL); + } + + /* Consistency checks for large random values */ + for (i = 0; i < 10; i++) { + int j; + random_fe_non_square(&ns); + for (j = 0; j < COUNT; j++) { + testutil_random_fe(&x); + secp256k1_fe_sqr(&s, &x); + CHECK(secp256k1_fe_is_square_var(&s)); + test_sqrt(&s, &x); + secp256k1_fe_negate(&t, &s, 1); + CHECK(!secp256k1_fe_is_square_var(&t)); + test_sqrt(&t, NULL); + secp256k1_fe_mul(&t, &s, &ns); + test_sqrt(&t, NULL); + } + } +} + +/***** FIELD/SCALAR INVERSE TESTS *****/ + +static const secp256k1_scalar scalar_minus_one = SECP256K1_SCALAR_CONST( + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, + 0xBAAEDCE6, 0xAF48A03B, 0xBFD25E8C, 0xD0364140 +); + +static const secp256k1_fe fe_minus_one = SECP256K1_FE_CONST( + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFC2E +); + +/* These tests test the following identities: + * + * for x==0: 1/x == 0 + * for x!=0: x*(1/x) == 1 + * for x!=0 and x!=1: 1/(1/x - 1) + 1 == -1/(x-1) + */ + +static void test_inverse_scalar(secp256k1_scalar* out, const secp256k1_scalar* x, int var) +{ + secp256k1_scalar l, r, t; + + (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&l, x); /* l = 1/x */ + if (out) *out = l; + if (secp256k1_scalar_is_zero(x)) { + CHECK(secp256k1_scalar_is_zero(&l)); + return; + } + secp256k1_scalar_mul(&t, x, &l); /* t = x*(1/x) */ + CHECK(secp256k1_scalar_is_one(&t)); /* x*(1/x) == 1 */ + secp256k1_scalar_add(&r, x, &scalar_minus_one); /* r = x-1 */ + if (secp256k1_scalar_is_zero(&r)) return; + (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&r, &r); /* r = 1/(x-1) */ + secp256k1_scalar_add(&l, &scalar_minus_one, &l); /* l = 1/x-1 */ + (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&l, &l); /* l = 1/(1/x-1) */ + secp256k1_scalar_add(&l, &l, &secp256k1_scalar_one); /* l = 1/(1/x-1)+1 */ + secp256k1_scalar_add(&l, &r, &l); /* l = 1/(1/x-1)+1 + 1/(x-1) */ + CHECK(secp256k1_scalar_is_zero(&l)); /* l == 0 */ +} + +static void test_inverse_field(secp256k1_fe* out, const secp256k1_fe* x, int var) +{ + secp256k1_fe l, r, t; + + (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, x) ; /* l = 1/x */ + if (out) *out = l; + t = *x; /* t = x */ + if (secp256k1_fe_normalizes_to_zero_var(&t)) { + CHECK(secp256k1_fe_normalizes_to_zero(&l)); + return; + } + secp256k1_fe_mul(&t, x, &l); /* t = x*(1/x) */ + secp256k1_fe_add(&t, &fe_minus_one); /* t = x*(1/x)-1 */ + CHECK(secp256k1_fe_normalizes_to_zero(&t)); /* x*(1/x)-1 == 0 */ + r = *x; /* r = x */ + secp256k1_fe_add(&r, &fe_minus_one); /* r = x-1 */ + if (secp256k1_fe_normalizes_to_zero_var(&r)) return; + (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&r, &r); /* r = 1/(x-1) */ + secp256k1_fe_add(&l, &fe_minus_one); /* l = 1/x-1 */ + (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, &l); /* l = 1/(1/x-1) */ + secp256k1_fe_add_int(&l, 1); /* l = 1/(1/x-1)+1 */ + secp256k1_fe_add(&l, &r); /* l = 1/(1/x-1)+1 + 1/(x-1) */ + CHECK(secp256k1_fe_normalizes_to_zero_var(&l)); /* l == 0 */ +} + +static void run_inverse_tests(void) +{ + /* Fixed test cases for field inverses: pairs of (x, 1/x) mod p. */ + static const secp256k1_fe fe_cases[][2] = { + /* 0 */ + {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), + SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}, + /* 1 */ + {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1), + SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1)}, + /* -1 */ + {SECP256K1_FE_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xfffffc2e), + SECP256K1_FE_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xfffffc2e)}, + /* 2 */ + {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2), + SECP256K1_FE_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x7ffffe18)}, + /* 2**128 */ + {SECP256K1_FE_CONST(0, 0, 0, 1, 0, 0, 0, 0), + SECP256K1_FE_CONST(0xbcb223fe, 0xdc24a059, 0xd838091d, 0xd2253530, 0xffffffff, 0xffffffff, 0xffffffff, 0x434dd931)}, + /* Input known to need 637 divsteps */ + {SECP256K1_FE_CONST(0xe34e9c95, 0x6bee8a84, 0x0dcb632a, 0xdb8a1320, 0x66885408, 0x06f3f996, 0x7c11ca84, 0x19199ec3), + SECP256K1_FE_CONST(0xbd2cbd8f, 0x1c536828, 0x9bccda44, 0x2582ac0c, 0x870152b0, 0x8a3f09fb, 0x1aaadf92, 0x19b618e5)}, + /* Input known to need 567 divsteps starting with delta=1/2. */ + {SECP256K1_FE_CONST(0xf6bc3ba3, 0x636451c4, 0x3e46357d, 0x2c21d619, 0x0988e234, 0x15985661, 0x6672982b, 0xa7549bfc), + SECP256K1_FE_CONST(0xb024fdc7, 0x5547451e, 0x426c585f, 0xbd481425, 0x73df6b75, 0xeef6d9d0, 0x389d87d4, 0xfbb440ba)}, + /* Input known to need 566 divsteps starting with delta=1/2. */ + {SECP256K1_FE_CONST(0xb595d81b, 0x2e3c1e2f, 0x482dbc65, 0xe4865af7, 0x9a0a50aa, 0x29f9e618, 0x6f87d7a5, 0x8d1063ae), + SECP256K1_FE_CONST(0xc983337c, 0x5d5c74e1, 0x49918330, 0x0b53afb5, 0xa0428a0b, 0xce6eef86, 0x059bd8ef, 0xe5b908de)}, + /* Set of 10 inputs accessing all 128 entries in the modinv32 divsteps_var table */ + {SECP256K1_FE_CONST(0x00000000, 0x00000000, 0xe0ff1f80, 0x1f000000, 0x00000000, 0x00000000, 0xfeff0100, 0x00000000), + SECP256K1_FE_CONST(0x9faf9316, 0x77e5049d, 0x0b5e7a1b, 0xef70b893, 0x18c9e30c, 0x045e7fd7, 0x29eddf8c, 0xd62e9e3d)}, + {SECP256K1_FE_CONST(0x621a538d, 0x511b2780, 0x35688252, 0x53f889a4, 0x6317c3ac, 0x32ba0a46, 0x6277c0d1, 0xccd31192), + SECP256K1_FE_CONST(0x38513b0c, 0x5eba856f, 0xe29e882e, 0x9b394d8c, 0x34bda011, 0xeaa66943, 0x6a841a4c, 0x6ae8bcff)}, + {SECP256K1_FE_CONST(0x00000200, 0xf0ffff1f, 0x00000000, 0x0000e0ff, 0xffffffff, 0xfffcffff, 0xffffffff, 0xffff0100), + SECP256K1_FE_CONST(0x5da42a52, 0x3640de9e, 0x13e64343, 0x0c7591b7, 0x6c1e3519, 0xf048c5b6, 0x0484217c, 0xedbf8b2f)}, + {SECP256K1_FE_CONST(0xd1343ef9, 0x4b952621, 0x7c52a2ee, 0x4ea1281b, 0x4ab46410, 0x9f26998d, 0xa686a8ff, 0x9f2103e8), + SECP256K1_FE_CONST(0x84044385, 0x9a4619bf, 0x74e35b6d, 0xa47e0c46, 0x6b7fb47d, 0x9ffab128, 0xb0775aa3, 0xcb318bd1)}, + {SECP256K1_FE_CONST(0xb27235d2, 0xc56a52be, 0x210db37a, 0xd50d23a4, 0xbe621bdd, 0x5df22c6a, 0xe926ba62, 0xd2e4e440), + SECP256K1_FE_CONST(0x67a26e54, 0x483a9d3c, 0xa568469e, 0xd258ab3d, 0xb9ec9981, 0xdca9b1bd, 0x8d2775fe, 0x53ae429b)}, + {SECP256K1_FE_CONST(0x00000000, 0x00000000, 0x00e0ffff, 0xffffff83, 0xffffffff, 0x3f00f00f, 0x000000e0, 0xffffffff), + SECP256K1_FE_CONST(0x310e10f8, 0x23bbfab0, 0xac94907d, 0x076c9a45, 0x8d357d7f, 0xc763bcee, 0x00d0e615, 0x5a6acef6)}, + {SECP256K1_FE_CONST(0xfeff0300, 0x001c0000, 0xf80700c0, 0x0ff0ffff, 0xffffffff, 0x0fffffff, 0xffff0100, 0x7f0000fe), + SECP256K1_FE_CONST(0x28e2fdb4, 0x0709168b, 0x86f598b0, 0x3453a370, 0x530cf21f, 0x32f978d5, 0x1d527a71, 0x59269b0c)}, + {SECP256K1_FE_CONST(0xc2591afa, 0x7bb98ef7, 0x090bb273, 0x85c14f87, 0xbb0b28e0, 0x54d3c453, 0x85c66753, 0xd5574d2f), + SECP256K1_FE_CONST(0xfdca70a2, 0x70ce627c, 0x95e66fae, 0x848a6dbb, 0x07ffb15c, 0x5f63a058, 0xba4140ed, 0x6113b503)}, + {SECP256K1_FE_CONST(0xf5475db3, 0xedc7b5a3, 0x411c047e, 0xeaeb452f, 0xc625828e, 0x1cf5ad27, 0x8eec1060, 0xc7d3e690), + SECP256K1_FE_CONST(0x5eb756c0, 0xf963f4b9, 0xdc6a215e, 0xec8cc2d8, 0x2e9dec01, 0xde5eb88d, 0x6aba7164, 0xaecb2c5a)}, + {SECP256K1_FE_CONST(0x00000000, 0x00f8ffff, 0xffffffff, 0x01000000, 0xe0ff1f00, 0x00000000, 0xffffff7f, 0x00000000), + SECP256K1_FE_CONST(0xe0d2e3d8, 0x49b6157d, 0xe54e88c2, 0x1a7f02ca, 0x7dd28167, 0xf1125d81, 0x7bfa444e, 0xbe110037)}, + /* Selection of randomly generated inputs that reach high/low d/e values in various configurations. */ + {SECP256K1_FE_CONST(0x13cc08a4, 0xd8c41f0f, 0x179c3e67, 0x54c46c67, 0xc4109221, 0x09ab3b13, 0xe24d9be1, 0xffffe950), + SECP256K1_FE_CONST(0xb80c8006, 0xd16abaa7, 0xcabd71e5, 0xcf6714f4, 0x966dd3d0, 0x64767a2d, 0xe92c4441, 0x51008cd1)}, + {SECP256K1_FE_CONST(0xaa6db990, 0x95efbca1, 0x3cc6ff71, 0x0602e24a, 0xf49ff938, 0x99fffc16, 0x46f40993, 0xc6e72057), + SECP256K1_FE_CONST(0xd5d3dd69, 0xb0c195e5, 0x285f1d49, 0xe639e48c, 0x9223f8a9, 0xca1d731d, 0x9ca482f9, 0xa5b93e06)}, + {SECP256K1_FE_CONST(0x1c680eac, 0xaeabffd8, 0x9bdc4aee, 0x1781e3de, 0xa3b08108, 0x0015f2e0, 0x94449e1b, 0x2f67a058), + SECP256K1_FE_CONST(0x7f083f8d, 0x31254f29, 0x6510f475, 0x245c373d, 0xc5622590, 0x4b323393, 0x32ed1719, 0xc127444b)}, + {SECP256K1_FE_CONST(0x147d44b3, 0x012d83f8, 0xc160d386, 0x1a44a870, 0x9ba6be96, 0x8b962707, 0x267cbc1a, 0xb65b2f0a), + SECP256K1_FE_CONST(0x555554ff, 0x170aef1e, 0x50a43002, 0xe51fbd36, 0xafadb458, 0x7a8aded1, 0x0ca6cd33, 0x6ed9087c)}, + {SECP256K1_FE_CONST(0x12423796, 0x22f0fe61, 0xf9ca017c, 0x5384d107, 0xa1fbf3b2, 0x3b018013, 0x916a3c37, 0x4000b98c), + SECP256K1_FE_CONST(0x20257700, 0x08668f94, 0x1177e306, 0x136c01f5, 0x8ed1fbd2, 0x95ec4589, 0xae38edb9, 0xfd19b6d7)}, + {SECP256K1_FE_CONST(0xdcf2d030, 0x9ab42cb4, 0x93ffa181, 0xdcd23619, 0x39699b52, 0x08909a20, 0xb5a17695, 0x3a9dcf21), + SECP256K1_FE_CONST(0x1f701dea, 0xe211fb1f, 0x4f37180d, 0x63a0f51c, 0x29fe1e40, 0xa40b6142, 0x2e7b12eb, 0x982b06b6)}, + {SECP256K1_FE_CONST(0x79a851f6, 0xa6314ed3, 0xb35a55e6, 0xca1c7d7f, 0xe32369ea, 0xf902432e, 0x375308c5, 0xdfd5b600), + SECP256K1_FE_CONST(0xcaae00c5, 0xe6b43851, 0x9dabb737, 0x38cba42c, 0xa02c8549, 0x7895dcbf, 0xbd183d71, 0xafe4476a)}, + {SECP256K1_FE_CONST(0xede78fdd, 0xcfc92bf1, 0x4fec6c6c, 0xdb8d37e2, 0xfb66bc7b, 0x28701870, 0x7fa27c9a, 0x307196ec), + SECP256K1_FE_CONST(0x68193a6c, 0x9a8b87a7, 0x2a760c64, 0x13e473f6, 0x23ae7bed, 0x1de05422, 0x88865427, 0xa3418265)}, + {SECP256K1_FE_CONST(0xa40b2079, 0xb8f88e89, 0xa7617997, 0x89baf5ae, 0x174df343, 0x75138eae, 0x2711595d, 0x3fc3e66c), + SECP256K1_FE_CONST(0x9f99c6a5, 0x6d685267, 0xd4b87c37, 0x9d9c4576, 0x358c692b, 0x6bbae0ed, 0x3389c93d, 0x7fdd2655)}, + {SECP256K1_FE_CONST(0x7c74c6b6, 0xe98d9151, 0x72645cf1, 0x7f06e321, 0xcefee074, 0x15b2113a, 0x10a9be07, 0x08a45696), + SECP256K1_FE_CONST(0x8c919a88, 0x898bc1e0, 0x77f26f97, 0x12e655b7, 0x9ba0ac40, 0xe15bb19e, 0x8364cc3b, 0xe227a8ee)}, + {SECP256K1_FE_CONST(0x109ba1ce, 0xdafa6d4a, 0xa1cec2b2, 0xeb1069f4, 0xb7a79e5b, 0xec6eb99b, 0xaec5f643, 0xee0e723e), + SECP256K1_FE_CONST(0x93d13eb8, 0x4bb0bcf9, 0xe64f5a71, 0xdbe9f359, 0x7191401c, 0x6f057a4a, 0xa407fe1b, 0x7ecb65cc)}, + {SECP256K1_FE_CONST(0x3db076cd, 0xec74a5c9, 0xf61dd138, 0x90e23e06, 0xeeedd2d0, 0x74cbc4e0, 0x3dbe1e91, 0xded36a78), + SECP256K1_FE_CONST(0x3f07f966, 0x8e2a1e09, 0x706c71df, 0x02b5e9d5, 0xcb92ddbf, 0xcdd53010, 0x16545564, 0xe660b107)}, + {SECP256K1_FE_CONST(0xe31c73ed, 0xb4c4b82c, 0x02ae35f7, 0x4cdec153, 0x98b522fd, 0xf7d2460c, 0x6bf7c0f8, 0x4cf67b0d), + SECP256K1_FE_CONST(0x4b8f1faf, 0x94e8b070, 0x19af0ff6, 0xa319cd31, 0xdf0a7ffb, 0xefaba629, 0x59c50666, 0x1fe5b843)}, + {SECP256K1_FE_CONST(0x4c8b0e6e, 0x83392ab6, 0xc0e3e9f1, 0xbbd85497, 0x16698897, 0xf552d50d, 0x79652ddb, 0x12f99870), + SECP256K1_FE_CONST(0x56d5101f, 0xd23b7949, 0x17dc38d6, 0xf24022ef, 0xcf18e70a, 0x5cc34424, 0x438544c3, 0x62da4bca)}, + {SECP256K1_FE_CONST(0xb0e040e2, 0x40cc35da, 0x7dd5c611, 0x7fccb178, 0x28888137, 0xbc930358, 0xea2cbc90, 0x775417dc), + SECP256K1_FE_CONST(0xca37f0d4, 0x016dd7c8, 0xab3ae576, 0x96e08d69, 0x68ed9155, 0xa9b44270, 0x900ae35d, 0x7c7800cd)}, + {SECP256K1_FE_CONST(0x8a32ea49, 0x7fbb0bae, 0x69724a9d, 0x8e2105b2, 0xbdf69178, 0x862577ef, 0x35055590, 0x667ddaef), + SECP256K1_FE_CONST(0xd02d7ead, 0xc5e190f0, 0x559c9d72, 0xdaef1ffc, 0x64f9f425, 0xf43645ea, 0x7341e08d, 0x11768e96)}, + {SECP256K1_FE_CONST(0xa3592d98, 0x9abe289d, 0x579ebea6, 0xbb0857a8, 0xe242ab73, 0x85f9a2ce, 0xb6998f0f, 0xbfffbfc6), + SECP256K1_FE_CONST(0x093c1533, 0x32032efa, 0x6aa46070, 0x0039599e, 0x589c35f4, 0xff525430, 0x7fe3777a, 0x44b43ddc)}, + {SECP256K1_FE_CONST(0x647178a3, 0x229e607b, 0xcc98521a, 0xcce3fdd9, 0x1e1bc9c9, 0x97fb7c6a, 0x61b961e0, 0x99b10709), + SECP256K1_FE_CONST(0x98217c13, 0xd51ddf78, 0x96310e77, 0xdaebd908, 0x602ca683, 0xcb46d07a, 0xa1fcf17e, 0xc8e2feb3)}, + {SECP256K1_FE_CONST(0x7334627c, 0x73f98968, 0x99464b4b, 0xf5964958, 0x1b95870d, 0xc658227e, 0x5e3235d8, 0xdcab5787), + SECP256K1_FE_CONST(0x000006fd, 0xc7e9dd94, 0x40ae367a, 0xe51d495c, 0x07603b9b, 0x2d088418, 0x6cc5c74c, 0x98514307)}, + {SECP256K1_FE_CONST(0x82e83876, 0x96c28938, 0xa50dd1c5, 0x605c3ad1, 0xc048637d, 0x7a50825f, 0x335ed01a, 0x00005760), + SECP256K1_FE_CONST(0xb0393f9f, 0x9f2aa55e, 0xf5607e2e, 0x5287d961, 0x60b3e704, 0xf3e16e80, 0xb4f9a3ea, 0xfec7f02d)}, + {SECP256K1_FE_CONST(0xc97b6cec, 0x3ee6b8dc, 0x98d24b58, 0x3c1970a1, 0xfe06297a, 0xae813529, 0xe76bb6bd, 0x771ae51d), + SECP256K1_FE_CONST(0x0507c702, 0xd407d097, 0x47ddeb06, 0xf6625419, 0x79f48f79, 0x7bf80d0b, 0xfc34b364, 0x253a5db1)}, + {SECP256K1_FE_CONST(0xd559af63, 0x77ea9bc4, 0x3cf1ad14, 0x5c7a4bbb, 0x10e7d18b, 0x7ce0dfac, 0x380bb19d, 0x0bb99bd3), + SECP256K1_FE_CONST(0x00196119, 0xb9b00d92, 0x34edfdb5, 0xbbdc42fc, 0xd2daa33a, 0x163356ca, 0xaa8754c8, 0xb0ec8b0b)}, + {SECP256K1_FE_CONST(0x8ddfa3dc, 0x52918da0, 0x640519dc, 0x0af8512a, 0xca2d33b2, 0xbde52514, 0xda9c0afc, 0xcb29fce4), + SECP256K1_FE_CONST(0xb3e4878d, 0x5cb69148, 0xcd54388b, 0xc23acce0, 0x62518ba8, 0xf09def92, 0x7b31e6aa, 0x6ba35b02)}, + {SECP256K1_FE_CONST(0xf8207492, 0xe3049f0a, 0x65285f2b, 0x0bfff996, 0x00ca112e, 0xc05da837, 0x546d41f9, 0x5194fb91), + SECP256K1_FE_CONST(0x7b7ee50b, 0xa8ed4bbd, 0xf6469930, 0x81419a5c, 0x071441c7, 0x290d046e, 0x3b82ea41, 0x611c5f95)}, + {SECP256K1_FE_CONST(0x050f7c80, 0x5bcd3c6b, 0x823cb724, 0x5ce74db7, 0xa4e39f5c, 0xbd8828d7, 0xfd4d3e07, 0x3ec2926a), + SECP256K1_FE_CONST(0x000d6730, 0xb0171314, 0x4764053d, 0xee157117, 0x48fd61da, 0xdea0b9db, 0x1d5e91c6, 0xbdc3f59e)}, + {SECP256K1_FE_CONST(0x3e3ea8eb, 0x05d760cf, 0x23009263, 0xb3cb3ac9, 0x088f6f0d, 0x3fc182a3, 0xbd57087c, 0xe67c62f9), + SECP256K1_FE_CONST(0xbe988716, 0xa29c1bf6, 0x4456aed6, 0xab1e4720, 0x49929305, 0x51043bf4, 0xebd833dd, 0xdd511e8b)}, + {SECP256K1_FE_CONST(0x6964d2a9, 0xa7fa6501, 0xa5959249, 0x142f4029, 0xea0c1b5f, 0x2f487ef6, 0x301ac80a, 0x768be5cd), + SECP256K1_FE_CONST(0x3918ffe4, 0x07492543, 0xed24d0b7, 0x3df95f8f, 0xaffd7cb4, 0x0de2191c, 0x9ec2f2ad, 0x2c0cb3c6)}, + {SECP256K1_FE_CONST(0x37c93520, 0xf6ddca57, 0x2b42fd5e, 0xb5c7e4de, 0x11b5b81c, 0xb95e91f3, 0x95c4d156, 0x39877ccb), + SECP256K1_FE_CONST(0x9a94b9b5, 0x57eb71ee, 0x4c975b8b, 0xac5262a8, 0x077b0595, 0xe12a6b1f, 0xd728edef, 0x1a6bf956)} + }; + /* Fixed test cases for scalar inverses: pairs of (x, 1/x) mod n. */ + static const secp256k1_scalar scalar_cases[][2] = { + /* 0 */ + {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0), + SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0)}, + /* 1 */ + {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1), + SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1)}, + /* -1 */ + {SECP256K1_SCALAR_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xbaaedce6, 0xaf48a03b, 0xbfd25e8c, 0xd0364140), + SECP256K1_SCALAR_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xbaaedce6, 0xaf48a03b, 0xbfd25e8c, 0xd0364140)}, + /* 2 */ + {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 2), + SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x5d576e73, 0x57a4501d, 0xdfe92f46, 0x681b20a1)}, + /* 2**128 */ + {SECP256K1_SCALAR_CONST(0, 0, 0, 1, 0, 0, 0, 0), + SECP256K1_SCALAR_CONST(0x50a51ac8, 0x34b9ec24, 0x4b0dff66, 0x5588b13e, 0x9984d5b3, 0xcf80ef0f, 0xd6a23766, 0xa3ee9f22)}, + /* Input known to need 635 divsteps */ + {SECP256K1_SCALAR_CONST(0xcb9f1d35, 0xdd4416c2, 0xcd71bf3f, 0x6365da66, 0x3c9b3376, 0x8feb7ae9, 0x32a5ef60, 0x19199ec3), + SECP256K1_SCALAR_CONST(0x1d7c7bba, 0xf1893d53, 0xb834bd09, 0x36b411dc, 0x42c2e42f, 0xec72c428, 0x5e189791, 0x8e9bc708)}, + /* Input known to need 566 divsteps starting with delta=1/2. */ + {SECP256K1_SCALAR_CONST(0x7e3c993d, 0xa4272488, 0xbc015b49, 0x2db54174, 0xd382083a, 0xebe6db35, 0x80f82eff, 0xcd132c72), + SECP256K1_SCALAR_CONST(0x086f34a0, 0x3e631f76, 0x77418f28, 0xcc84ac95, 0x6304439d, 0x365db268, 0x312c6ded, 0xd0b934f8)}, + /* Input known to need 565 divsteps starting with delta=1/2. */ + {SECP256K1_SCALAR_CONST(0xbad7e587, 0x3f307859, 0x60d93147, 0x8a18491e, 0xb38a9fd5, 0x254350d3, 0x4b1f0e4b, 0x7dd6edc4), + SECP256K1_SCALAR_CONST(0x89f2df26, 0x39e2b041, 0xf19bd876, 0xd039c8ac, 0xc2223add, 0x29c4943e, 0x6632d908, 0x515f467b)}, + /* Selection of randomly generated inputs that reach low/high d/e values in various configurations. */ + {SECP256K1_SCALAR_CONST(0x1950d757, 0xb37a5809, 0x435059bb, 0x0bb8997e, 0x07e1e3c8, 0x5e5d7d2c, 0x6a0ed8e3, 0xdbde180e), + SECP256K1_SCALAR_CONST(0xbf72af9b, 0x750309e2, 0x8dda230b, 0xfe432b93, 0x7e25e475, 0x4388251e, 0x633d894b, 0x3bcb6f8c)}, + {SECP256K1_SCALAR_CONST(0x9bccf4e7, 0xc5a515e3, 0x50637aa9, 0xbb65a13f, 0x391749a1, 0x62de7d4e, 0xf6d7eabb, 0x3cd10ce0), + SECP256K1_SCALAR_CONST(0xaf2d5623, 0xb6385a33, 0xcd0365be, 0x5e92a70d, 0x7f09179c, 0x3baaf30f, 0x8f9cc83b, 0x20092f67)}, + {SECP256K1_SCALAR_CONST(0x73a57111, 0xb242952a, 0x5c5dee59, 0xf3be2ace, 0xa30a7659, 0xa46e5f47, 0xd21267b1, 0x39e642c9), + SECP256K1_SCALAR_CONST(0xa711df07, 0xcbcf13ef, 0xd61cc6be, 0xbcd058ce, 0xb02cf157, 0x272d4a18, 0x86d0feb3, 0xcd5fa004)}, + {SECP256K1_SCALAR_CONST(0x04884963, 0xce0580b1, 0xba547030, 0x3c691db3, 0x9cd2c84f, 0x24c7cebd, 0x97ebfdba, 0x3e785ec2), + SECP256K1_SCALAR_CONST(0xaaaaaf14, 0xd7c99ba7, 0x517ce2c1, 0x78a28b4c, 0x3769a851, 0xe5c5a03d, 0x4cc28f33, 0x0ec4dc5d)}, + {SECP256K1_SCALAR_CONST(0x1679ed49, 0x21f537b1, 0x815cb8ae, 0x9efc511c, 0x5b9fa037, 0x0b0f275e, 0x6c985281, 0x6c4a9905), + SECP256K1_SCALAR_CONST(0xb14ac3d5, 0x62b52999, 0xef34ead1, 0xffca4998, 0x0294341a, 0x1f8172aa, 0xea1624f9, 0x302eea62)}, + {SECP256K1_SCALAR_CONST(0x626b37c0, 0xf0057c35, 0xee982f83, 0x452a1fd3, 0xea826506, 0x48b08a9d, 0x1d2c4799, 0x4ad5f6ec), + SECP256K1_SCALAR_CONST(0xe38643b7, 0x567bfc2f, 0x5d2f1c15, 0xe327239c, 0x07112443, 0x69509283, 0xfd98e77a, 0xdb71c1e8)}, + {SECP256K1_SCALAR_CONST(0x1850a3a7, 0x759efc56, 0x54f287b2, 0x14d1234b, 0xe263bbc9, 0xcf4d8927, 0xd5f85f27, 0x965bd816), + SECP256K1_SCALAR_CONST(0x3b071831, 0xcac9619a, 0xcceb0596, 0xf614d63b, 0x95d0db2f, 0xc6a00901, 0x8eaa2621, 0xabfa0009)}, + {SECP256K1_SCALAR_CONST(0x94ae5d06, 0xa27dc400, 0x487d72be, 0xaa51ebed, 0xe475b5c0, 0xea675ffc, 0xf4df627a, 0xdca4222f), + SECP256K1_SCALAR_CONST(0x01b412ed, 0xd7830956, 0x1532537e, 0xe5e3dc99, 0x8fd3930a, 0x54f8d067, 0x32ef5760, 0x594438a5)}, + {SECP256K1_SCALAR_CONST(0x1f24278a, 0xb5bfe374, 0xa328dbbc, 0xebe35f48, 0x6620e009, 0xd58bb1b4, 0xb5a6bf84, 0x8815f63a), + SECP256K1_SCALAR_CONST(0xfe928416, 0xca5ba2d3, 0xfde513da, 0x903a60c7, 0x9e58ad8a, 0x8783bee4, 0x083a3843, 0xa608c914)}, + {SECP256K1_SCALAR_CONST(0xdc107d58, 0x274f6330, 0x67dba8bc, 0x26093111, 0x5201dfb8, 0x968ce3f5, 0xf34d1bd4, 0xf2146504), + SECP256K1_SCALAR_CONST(0x660cfa90, 0x13c3d93e, 0x7023b1e5, 0xedd09e71, 0x6d9c9d10, 0x7a3d2cdb, 0xdd08edc3, 0xaa78fcfb)}, + {SECP256K1_SCALAR_CONST(0x7cd1e905, 0xc6f02776, 0x2f551cc7, 0x5da61cff, 0x7da05389, 0x1119d5a4, 0x631c7442, 0x894fd4f7), + SECP256K1_SCALAR_CONST(0xff20862a, 0x9d3b1a37, 0x1628803b, 0x3004ccae, 0xaa23282a, 0xa89a1109, 0xd94ece5e, 0x181bdc46)}, + {SECP256K1_SCALAR_CONST(0x5b9dade8, 0x23d26c58, 0xcd12d818, 0x25b8ae97, 0x3dea04af, 0xf482c96b, 0xa062f254, 0x9e453640), + SECP256K1_SCALAR_CONST(0x50c38800, 0x15fa53f4, 0xbe1e5392, 0x5c9b120a, 0x262c22c7, 0x18fa0816, 0x5f2baab4, 0x8cb5db46)}, + {SECP256K1_SCALAR_CONST(0x11cdaeda, 0x969c464b, 0xef1f4ab0, 0x5b01d22e, 0x656fd098, 0x882bea84, 0x65cdbe7a, 0x0c19ff03), + SECP256K1_SCALAR_CONST(0x1968d0fa, 0xac46f103, 0xb55f1f72, 0xb3820bed, 0xec6b359a, 0x4b1ae0ad, 0x7e38e1fb, 0x295ccdfb)}, + {SECP256K1_SCALAR_CONST(0x2c351aa1, 0x26e91589, 0x194f8a1e, 0x06561f66, 0x0cb97b7f, 0x10914454, 0x134d1c03, 0x157266b4), + SECP256K1_SCALAR_CONST(0xbe49ada6, 0x92bd8711, 0x41b176c4, 0xa478ba95, 0x14883434, 0x9d1cd6f3, 0xcc4b847d, 0x22af80f5)}, + {SECP256K1_SCALAR_CONST(0x6ba07c6e, 0x13a60edb, 0x6247f5c3, 0x84b5fa56, 0x76fe3ec5, 0x80426395, 0xf65ec2ae, 0x623ba730), + SECP256K1_SCALAR_CONST(0x25ac23f7, 0x418cd747, 0x98376f9d, 0x4a11c7bf, 0x24c8ebfe, 0x4c8a8655, 0x345f4f52, 0x1c515595)}, + {SECP256K1_SCALAR_CONST(0x9397a712, 0x8abb6951, 0x2d4a3d54, 0x703b1c2a, 0x0661dca8, 0xd75c9b31, 0xaed4d24b, 0xd2ab2948), + SECP256K1_SCALAR_CONST(0xc52e8bef, 0xd55ce3eb, 0x1c897739, 0xeb9fb606, 0x36b9cd57, 0x18c51cc2, 0x6a87489e, 0xffd0dcf3)}, + {SECP256K1_SCALAR_CONST(0xe6a808cc, 0xeb437888, 0xe97798df, 0x4e224e44, 0x7e3b380a, 0x207c1653, 0x889f3212, 0xc6738b6f), + SECP256K1_SCALAR_CONST(0x31f9ae13, 0xd1e08b20, 0x757a2e5e, 0x5243a0eb, 0x8ae35f73, 0x19bb6122, 0xb910f26b, 0xda70aa55)}, + {SECP256K1_SCALAR_CONST(0xd0320548, 0xab0effe7, 0xa70779e0, 0x61a347a6, 0xb8c1e010, 0x9d5281f8, 0x2ee588a6, 0x80000000), + SECP256K1_SCALAR_CONST(0x1541897e, 0x78195c90, 0x7583dd9e, 0x728b6100, 0xbce8bc6d, 0x7a53b471, 0x5dcd9e45, 0x4425fcaf)}, + {SECP256K1_SCALAR_CONST(0x93d623f1, 0xd45b50b0, 0x796e9186, 0x9eac9407, 0xd30edc20, 0xef6304cf, 0x250494e7, 0xba503de9), + SECP256K1_SCALAR_CONST(0x7026d638, 0x1178b548, 0x92043952, 0x3c7fb47c, 0xcd3ea236, 0x31d82b01, 0x612fc387, 0x80b9b957)}, + {SECP256K1_SCALAR_CONST(0xf860ab39, 0x55f5d412, 0xa4d73bcc, 0x3b48bd90, 0xc248ffd3, 0x13ca10be, 0x8fba84cc, 0xdd28d6a3), + SECP256K1_SCALAR_CONST(0x5c32fc70, 0xe0b15d67, 0x76694700, 0xfe62be4d, 0xeacdb229, 0x7a4433d9, 0x52155cd0, 0x7649ab59)}, + {SECP256K1_SCALAR_CONST(0x4e41311c, 0x0800af58, 0x7a690a8e, 0xe175c9ba, 0x6981ab73, 0xac532ea8, 0x5c1f5e63, 0x6ac1f189), + SECP256K1_SCALAR_CONST(0xfffffff9, 0xd075982c, 0x7fbd3825, 0xc05038a2, 0x4533b91f, 0x94ec5f45, 0xb280b28f, 0x842324dc)}, + {SECP256K1_SCALAR_CONST(0x48e473bf, 0x3555eade, 0xad5d7089, 0x2424c4e4, 0x0a99397c, 0x2dc796d8, 0xb7a43a69, 0xd0364141), + SECP256K1_SCALAR_CONST(0x634976b2, 0xa0e47895, 0x1ec38593, 0x266d6fd0, 0x6f602644, 0x9bb762f1, 0x7180c704, 0xe23a4daa)}, + {SECP256K1_SCALAR_CONST(0xbe83878d, 0x3292fc54, 0x26e71c62, 0x556ccedc, 0x7cbb8810, 0x4032a720, 0x34ead589, 0xe4d6bd13), + SECP256K1_SCALAR_CONST(0x6cd150ad, 0x25e59d0f, 0x74cbae3d, 0x6377534a, 0x1e6562e8, 0xb71b9d18, 0xe1e5d712, 0x8480abb3)}, + {SECP256K1_SCALAR_CONST(0xcdddf2e5, 0xefc15f88, 0xc9ee06de, 0x8a846ca9, 0x28561581, 0x68daa5fb, 0xd1cf3451, 0xeb1782d0), + SECP256K1_SCALAR_CONST(0xffffffd9, 0xed8d2af4, 0x993c865a, 0x23e9681a, 0x3ca3a3dc, 0xe6d5a46e, 0xbd86bd87, 0x61b55c70)}, + {SECP256K1_SCALAR_CONST(0xb6a18f1f, 0x04872df9, 0x08165ec4, 0x319ca19c, 0x6c0359ab, 0x1f7118fb, 0xc2ef8082, 0xca8b7785), + SECP256K1_SCALAR_CONST(0xff55b19b, 0x0f1ac78c, 0x0f0c88c2, 0x2358d5ad, 0x5f455e4e, 0x3330b72f, 0x274dc153, 0xffbf272b)}, + {SECP256K1_SCALAR_CONST(0xea4898e5, 0x30eba3e8, 0xcf0e5c3d, 0x06ec6844, 0x01e26fb6, 0x75636225, 0xc5d08f4c, 0x1decafa0), + SECP256K1_SCALAR_CONST(0xe5a014a8, 0xe3c4ec1e, 0xea4f9b32, 0xcfc7b386, 0x00630806, 0x12c08d02, 0x6407ccc2, 0xb067d90e)}, + {SECP256K1_SCALAR_CONST(0x70e9aea9, 0x7e933af0, 0x8a23bfab, 0x23e4b772, 0xff951863, 0x5ffcf47d, 0x6bebc918, 0x2ca58265), + SECP256K1_SCALAR_CONST(0xf4e00006, 0x81bc6441, 0x4eb6ec02, 0xc194a859, 0x80ad7c48, 0xba4e9afb, 0x8b6bdbe0, 0x989d8f77)}, + {SECP256K1_SCALAR_CONST(0x3c56c774, 0x46efe6f0, 0xe93618b8, 0xf9b5a846, 0xd247df61, 0x83b1e215, 0x06dc8bcc, 0xeefc1bf5), + SECP256K1_SCALAR_CONST(0xfff8937a, 0x2cd9586b, 0x43c25e57, 0xd1cefa7a, 0x9fb91ed3, 0x95b6533d, 0x8ad0de5b, 0xafb93f00)}, + {SECP256K1_SCALAR_CONST(0xfb5c2772, 0x5cb30e83, 0xe38264df, 0xe4e3ebf3, 0x392aa92e, 0xa68756a1, 0x51279ac5, 0xb50711a8), + SECP256K1_SCALAR_CONST(0x000013af, 0x1105bfe7, 0xa6bbd7fb, 0x3d638f99, 0x3b266b02, 0x072fb8bc, 0x39251130, 0x2e0fd0ea)} + }; + int i, var, testrand; + unsigned char b32[32]; + secp256k1_fe x_fe; + secp256k1_scalar x_scalar; + memset(b32, 0, sizeof(b32)); + /* Test fixed test cases through test_inverse_{scalar,field}, both ways. */ + for (i = 0; (size_t)i < sizeof(fe_cases)/sizeof(fe_cases[0]); ++i) { + for (var = 0; var <= 1; ++var) { + test_inverse_field(&x_fe, &fe_cases[i][0], var); + CHECK(fe_equal(&x_fe, &fe_cases[i][1])); + test_inverse_field(&x_fe, &fe_cases[i][1], var); + CHECK(fe_equal(&x_fe, &fe_cases[i][0])); + } + } + for (i = 0; (size_t)i < sizeof(scalar_cases)/sizeof(scalar_cases[0]); ++i) { + for (var = 0; var <= 1; ++var) { + test_inverse_scalar(&x_scalar, &scalar_cases[i][0], var); + CHECK(secp256k1_scalar_eq(&x_scalar, &scalar_cases[i][1])); + test_inverse_scalar(&x_scalar, &scalar_cases[i][1], var); + CHECK(secp256k1_scalar_eq(&x_scalar, &scalar_cases[i][0])); + } + } + /* Test inputs 0..999 and their respective negations. */ + for (i = 0; i < 1000; ++i) { + b32[31] = i & 0xff; + b32[30] = (i >> 8) & 0xff; + secp256k1_scalar_set_b32(&x_scalar, b32, NULL); + secp256k1_fe_set_b32_mod(&x_fe, b32); + for (var = 0; var <= 1; ++var) { + test_inverse_scalar(NULL, &x_scalar, var); + test_inverse_field(NULL, &x_fe, var); + } + secp256k1_scalar_negate(&x_scalar, &x_scalar); + secp256k1_fe_negate(&x_fe, &x_fe, 1); + for (var = 0; var <= 1; ++var) { + test_inverse_scalar(NULL, &x_scalar, var); + test_inverse_field(NULL, &x_fe, var); + } + } + /* test 128*count random inputs; half with testrand256_test, half with testrand256 */ + for (testrand = 0; testrand <= 1; ++testrand) { + for (i = 0; i < 64 * COUNT; ++i) { + (testrand ? testrand256_test : testrand256)(b32); + secp256k1_scalar_set_b32(&x_scalar, b32, NULL); + secp256k1_fe_set_b32_mod(&x_fe, b32); + for (var = 0; var <= 1; ++var) { + test_inverse_scalar(NULL, &x_scalar, var); + test_inverse_field(NULL, &x_fe, var); + } + } + } +} + +/***** HSORT TESTS *****/ + +static void test_heap_swap(void) { + unsigned char a[600]; + unsigned char e[sizeof(a)]; + memset(a, 21, 200); + memset(a + 200, 99, 200); + memset(a + 400, 42, 200); + memset(e, 42, 200); + memset(e + 200, 99, 200); + memset(e + 400, 21, 200); + secp256k1_heap_swap(a, 0, 2, 200); + CHECK(secp256k1_memcmp_var(a, e, sizeof(a)) == 0); +} + +static void test_hsort_is_sorted(unsigned char *elements, size_t n, size_t len) { + size_t i; + for (i = 1; i < n; i++) { + CHECK(secp256k1_memcmp_var(&elements[(i-1) * len], &elements[i * len], len) <= 0); + } +} + +struct test_hsort_cmp_data { + size_t counter; + size_t element_len; +}; - /* Check sqrt(0) is 0 */ - secp256k1_fe_set_int(&x, 0); - secp256k1_fe_sqr(&s, &x); - test_sqrt(&s, &x); - /* Check sqrt of small squares (and their negatives) */ - for (i = 1; i <= 100; i++) { - secp256k1_fe_set_int(&x, i); - secp256k1_fe_sqr(&s, &x); - test_sqrt(&s, &x); - secp256k1_fe_negate(&t, &s, 1); - test_sqrt(&t, NULL); - } +static int test_hsort_cmp(const void *ele1, const void *ele2, void *data) { + struct test_hsort_cmp_data *d = (struct test_hsort_cmp_data *) data; + d->counter += 1; + return secp256k1_memcmp_var((unsigned char *)ele1, (unsigned char *)ele2, d->element_len); +} - /* Consistency checks for large random values */ - for (i = 0; i < 10; i++) { - int j; - random_fe_non_square(&ns); - for (j = 0; j < count; j++) { - random_fe(&x); - secp256k1_fe_sqr(&s, &x); - test_sqrt(&s, &x); - secp256k1_fe_negate(&t, &s, 1); - test_sqrt(&t, NULL); - secp256k1_fe_mul(&t, &s, &ns); - test_sqrt(&t, NULL); - } +#define NUM 65 +#define MAX_ELEMENT_LEN 65 +static void test_hsort(size_t element_len) { + unsigned char elements[NUM * MAX_ELEMENT_LEN] = { 0 }; + struct test_hsort_cmp_data data; + int i; + + VERIFY_CHECK(element_len <= MAX_ELEMENT_LEN); + data.counter = 0; + data.element_len = element_len; + + secp256k1_hsort(elements, 0, element_len, test_hsort_cmp, &data); + CHECK(data.counter == 0); + secp256k1_hsort(elements, 1, element_len, test_hsort_cmp, &data); + CHECK(data.counter == 0); + secp256k1_hsort(elements, NUM, element_len, test_hsort_cmp, &data); + CHECK(data.counter >= NUM - 1); + test_hsort_is_sorted(elements, NUM, element_len); + + /* Test hsort with array of random length n */ + for (i = 0; i < COUNT; i++) { + int n = testrand_int(NUM); + testrand_bytes_test(elements, n*element_len); + secp256k1_hsort(elements, n, element_len, test_hsort_cmp, &data); + test_hsort_is_sorted(elements, n, element_len); } } +#undef NUM +#undef MAX_ELEMENT_LEN -/***** GROUP TESTS *****/ -void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) { - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - CHECK(secp256k1_fe_equal_var(&a->x, &b->x)); - CHECK(secp256k1_fe_equal_var(&a->y, &b->y)); +static void run_hsort_tests(void) { + test_heap_swap(); + test_hsort(1); + test_hsort(64); + test_hsort(65); } +/***** GROUP TESTS *****/ + /* This compares jacobian points including their Z, not just their geometric meaning. */ -int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) { +static int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) { secp256k1_gej a2; secp256k1_gej b2; int ret = 1; @@ -2015,101 +3656,70 @@ int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) { return ret; } -void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) { - secp256k1_fe z2s; - secp256k1_fe u1, u2, s1, s2; - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */ - secp256k1_fe_sqr(&z2s, &b->z); - secp256k1_fe_mul(&u1, &a->x, &z2s); - u2 = b->x; secp256k1_fe_normalize_weak(&u2); - secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z); - s2 = b->y; secp256k1_fe_normalize_weak(&s2); - CHECK(secp256k1_fe_equal_var(&u1, &u2)); - CHECK(secp256k1_fe_equal_var(&s1, &s2)); -} - -void test_ge(void) { +static void test_ge(void) { int i, i1; -#ifdef USE_ENDOMORPHISM int runs = 6; -#else - int runs = 4; -#endif - /* Points: (infinity, p1, p1, -p1, -p1, p2, p2, -p2, -p2, p3, p3, -p3, -p3, p4, p4, -p4, -p4). - * The second in each pair of identical points uses a random Z coordinate in the Jacobian form. - * All magnitudes are randomized. - * All 17*17 combinations of points are added to each other, using all applicable methods. - * - * When the endomorphism code is compiled in, p5 = lambda*p1 and p6 = lambda^2*p1 are added as well. + /* 25 points are used: + * - infinity + * - for each of four random points p1 p2 p3 p4, we add the point, its + * negation, and then those two again but with randomized Z coordinate. + * - The same is then done for lambda*p1 and lambda^2*p1. */ - secp256k1_ge *ge = (secp256k1_ge *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_ge) * (1 + 4 * runs)); - secp256k1_gej *gej = (secp256k1_gej *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_gej) * (1 + 4 * runs)); - secp256k1_fe *zinv = (secp256k1_fe *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_fe) * (1 + 4 * runs)); - secp256k1_fe zf; + secp256k1_ge *ge = (secp256k1_ge *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_ge) * (1 + 4 * runs)); + secp256k1_gej *gej = (secp256k1_gej *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_gej) * (1 + 4 * runs)); + secp256k1_fe zf, r; secp256k1_fe zfi2, zfi3; secp256k1_gej_set_infinity(&gej[0]); - secp256k1_ge_clear(&ge[0]); - secp256k1_ge_set_gej_var(&ge[0], &gej[0]); + secp256k1_ge_set_infinity(&ge[0]); for (i = 0; i < runs; i++) { - int j; + int j, k; secp256k1_ge g; - random_group_element_test(&g); -#ifdef USE_ENDOMORPHISM + testutil_random_ge_test(&g); if (i >= runs - 2) { secp256k1_ge_mul_lambda(&g, &ge[1]); + CHECK(!secp256k1_ge_eq_var(&g, &ge[1])); } if (i >= runs - 1) { secp256k1_ge_mul_lambda(&g, &g); } -#endif ge[1 + 4 * i] = g; ge[2 + 4 * i] = g; secp256k1_ge_neg(&ge[3 + 4 * i], &g); secp256k1_ge_neg(&ge[4 + 4 * i], &g); secp256k1_gej_set_ge(&gej[1 + 4 * i], &ge[1 + 4 * i]); - random_group_element_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]); + testutil_random_ge_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]); secp256k1_gej_set_ge(&gej[3 + 4 * i], &ge[3 + 4 * i]); - random_group_element_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]); + testutil_random_ge_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]); for (j = 0; j < 4; j++) { - random_field_element_magnitude(&ge[1 + j + 4 * i].x); - random_field_element_magnitude(&ge[1 + j + 4 * i].y); - random_field_element_magnitude(&gej[1 + j + 4 * i].x); - random_field_element_magnitude(&gej[1 + j + 4 * i].y); - random_field_element_magnitude(&gej[1 + j + 4 * i].z); + testutil_random_ge_x_magnitude(&ge[1 + j + 4 * i]); + testutil_random_ge_y_magnitude(&ge[1 + j + 4 * i]); + testutil_random_gej_x_magnitude(&gej[1 + j + 4 * i]); + testutil_random_gej_y_magnitude(&gej[1 + j + 4 * i]); + testutil_random_gej_z_magnitude(&gej[1 + j + 4 * i]); } - } - /* Compute z inverses. */ - { - secp256k1_fe *zs = checked_malloc(&ctx->error_callback, sizeof(secp256k1_fe) * (1 + 4 * runs)); - for (i = 0; i < 4 * runs + 1; i++) { - if (i == 0) { - /* The point at infinity does not have a meaningful z inverse. Any should do. */ - do { - random_field_element_test(&zs[i]); - } while(secp256k1_fe_is_zero(&zs[i])); - } else { - zs[i] = gej[i].z; + for (j = 0; j < 4; ++j) { + for (k = 0; k < 4; ++k) { + int expect_equal = (j >> 1) == (k >> 1); + CHECK(secp256k1_ge_eq_var(&ge[1 + j + 4 * i], &ge[1 + k + 4 * i]) == expect_equal); + CHECK(secp256k1_gej_eq_var(&gej[1 + j + 4 * i], &gej[1 + k + 4 * i]) == expect_equal); + CHECK(secp256k1_gej_eq_ge_var(&gej[1 + j + 4 * i], &ge[1 + k + 4 * i]) == expect_equal); + CHECK(secp256k1_gej_eq_ge_var(&gej[1 + k + 4 * i], &ge[1 + j + 4 * i]) == expect_equal); } } - secp256k1_fe_inv_all_var(zinv, zs, 4 * runs + 1); - free(zs); } /* Generate random zf, and zfi2 = 1/zf^2, zfi3 = 1/zf^3 */ - do { - random_field_element_test(&zf); - } while(secp256k1_fe_is_zero(&zf)); - random_field_element_magnitude(&zf); + testutil_random_fe_non_zero_test(&zf); + testutil_random_fe_magnitude(&zf, 8); secp256k1_fe_inv_var(&zfi3, &zf); secp256k1_fe_sqr(&zfi2, &zfi3); secp256k1_fe_mul(&zfi3, &zfi3, &zfi2); + /* Generate random r */ + testutil_random_fe_non_zero_test(&r); + for (i1 = 0; i1 < 1 + 4 * runs; i1++) { int i2; for (i2 = 0; i2 < 1 + 4 * runs; i2++) { @@ -2121,16 +3731,16 @@ void test_ge(void) { /* Check Z ratio. */ if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&refj)) { secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zrz, &refj.z)); + CHECK(secp256k1_fe_equal(&zrz, &refj.z)); } secp256k1_ge_set_gej_var(&ref, &refj); /* Test gej + ge with Z ratio result (var). */ secp256k1_gej_add_ge_var(&resj, &gej[i1], &ge[i2], secp256k1_gej_is_infinity(&gej[i1]) ? NULL : &zr); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&resj)) { secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zrz, &resj.z)); + CHECK(secp256k1_fe_equal(&zrz, &resj.z)); } /* Test gej + ge (var, with additional Z factor). */ @@ -2138,17 +3748,17 @@ void test_ge(void) { secp256k1_ge ge2_zfi = ge[i2]; /* the second term with x and y rescaled for z = 1/zf */ secp256k1_fe_mul(&ge2_zfi.x, &ge2_zfi.x, &zfi2); secp256k1_fe_mul(&ge2_zfi.y, &ge2_zfi.y, &zfi3); - random_field_element_magnitude(&ge2_zfi.x); - random_field_element_magnitude(&ge2_zfi.y); + testutil_random_ge_x_magnitude(&ge2_zfi); + testutil_random_ge_y_magnitude(&ge2_zfi); secp256k1_gej_add_zinv_var(&resj, &gej[i1], &ge2_zfi, &zf); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); } /* Test gej + ge (const). */ if (i2 != 0) { /* secp256k1_gej_add_ge does not support its second argument being infinity. */ secp256k1_gej_add_ge(&resj, &gej[i1], &ge[i2]); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); } /* Test doubling (var). */ @@ -2156,13 +3766,16 @@ void test_ge(void) { secp256k1_fe zr2; /* Normal doubling with Z ratio result. */ secp256k1_gej_double_var(&resj, &gej[i1], &zr2); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); /* Check Z ratio. */ secp256k1_fe_mul(&zr2, &zr2, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zr2, &resj.z)); + CHECK(secp256k1_fe_equal(&zr2, &resj.z)); /* Normal doubling. */ secp256k1_gej_double_var(&resj, &gej[i2], NULL); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); + /* Constant-time doubling. */ + secp256k1_gej_double(&resj, &gej[i2]); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); } /* Test adding opposites. */ @@ -2174,12 +3787,12 @@ void test_ge(void) { if (i1 == 0) { CHECK(secp256k1_ge_is_infinity(&ge[i1])); CHECK(secp256k1_gej_is_infinity(&gej[i1])); - ge_equals_gej(&ref, &gej[i2]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i2], &ref)); } if (i2 == 0) { CHECK(secp256k1_ge_is_infinity(&ge[i2])); CHECK(secp256k1_gej_is_infinity(&gej[i2])); - ge_equals_gej(&ref, &gej[i1]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i1], &ref)); } } } @@ -2187,12 +3800,12 @@ void test_ge(void) { /* Test adding all points together in random order equals infinity. */ { secp256k1_gej sum = SECP256K1_GEJ_CONST_INFINITY; - secp256k1_gej *gej_shuffled = (secp256k1_gej *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_gej)); + secp256k1_gej *gej_shuffled = (secp256k1_gej *)checked_malloc(&CTX->error_callback, (4 * runs + 1) * sizeof(secp256k1_gej)); for (i = 0; i < 4 * runs + 1; i++) { gej_shuffled[i] = gej[i]; } for (i = 0; i < 4 * runs + 1; i++) { - int swap = i + secp256k1_rand_int(4 * runs + 1 - i); + int swap = i + testrand_int(4 * runs + 1 - i); if (swap != i) { secp256k1_gej t = gej_shuffled[i]; gej_shuffled[i] = gej_shuffled[swap]; @@ -2206,49 +3819,109 @@ void test_ge(void) { free(gej_shuffled); } - /* Test batch gej -> ge conversion with and without known z ratios. */ + /* Test batch gej -> ge conversion without known z ratios. */ { - secp256k1_fe *zr = (secp256k1_fe *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_fe)); - secp256k1_ge *ge_set_all = (secp256k1_ge *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge)); - for (i = 0; i < 4 * runs + 1; i++) { - /* Compute gej[i + 1].z / gez[i].z (with gej[n].z taken to be 1). */ - if (i < 4 * runs) { - secp256k1_fe_mul(&zr[i + 1], &zinv[i], &gej[i + 1].z); - } - } + secp256k1_ge *ge_set_all = (secp256k1_ge *)checked_malloc(&CTX->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge)); secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1); for (i = 0; i < 4 * runs + 1; i++) { secp256k1_fe s; - random_fe_non_zero(&s); + testutil_random_fe_non_zero(&s); secp256k1_gej_rescale(&gej[i], &s); - ge_equals_gej(&ge_set_all[i], &gej[i]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge_set_all[i])); } free(ge_set_all); - free(zr); + } + + /* Test that all elements have X coordinates on the curve. */ + for (i = 1; i < 4 * runs + 1; i++) { + secp256k1_fe n; + CHECK(secp256k1_ge_x_on_curve_var(&ge[i].x)); + /* And the same holds after random rescaling. */ + secp256k1_fe_mul(&n, &zf, &ge[i].x); + CHECK(secp256k1_ge_x_frac_on_curve_var(&n, &zf)); + } + + /* Test correspondence of secp256k1_ge_x{,_frac}_on_curve_var with ge_set_xo. */ + { + secp256k1_fe n; + secp256k1_ge q; + int ret_on_curve, ret_frac_on_curve, ret_set_xo; + secp256k1_fe_mul(&n, &zf, &r); + ret_on_curve = secp256k1_ge_x_on_curve_var(&r); + ret_frac_on_curve = secp256k1_ge_x_frac_on_curve_var(&n, &zf); + ret_set_xo = secp256k1_ge_set_xo_var(&q, &r, 0); + CHECK(ret_on_curve == ret_frac_on_curve); + CHECK(ret_on_curve == ret_set_xo); + if (ret_set_xo) CHECK(secp256k1_fe_equal(&r, &q.x)); } /* Test batch gej -> ge conversion with many infinities. */ for (i = 0; i < 4 * runs + 1; i++) { - random_group_element_test(&ge[i]); + int odd; + testutil_random_ge_test(&ge[i]); + odd = secp256k1_fe_is_odd(&ge[i].x); + CHECK(odd == 0 || odd == 1); /* randomly set half the points to infinity */ - if(secp256k1_fe_is_odd(&ge[i].x)) { + if (odd == i % 2) { secp256k1_ge_set_infinity(&ge[i]); } secp256k1_gej_set_ge(&gej[i], &ge[i]); } - /* batch invert */ + /* batch convert */ + secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1); + /* check result */ + for (i = 0; i < 4 * runs + 1; i++) { + CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge[i])); + } + + /* Test batch gej -> ge conversion with all infinities. */ + for (i = 0; i < 4 * runs + 1; i++) { + secp256k1_gej_set_infinity(&gej[i]); + } + /* batch convert */ secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1); /* check result */ for (i = 0; i < 4 * runs + 1; i++) { - ge_equals_gej(&ge[i], &gej[i]); + CHECK(secp256k1_ge_is_infinity(&ge[i])); } free(ge); free(gej); - free(zinv); } -void test_add_neg_y_diff_x(void) { +static void test_intialized_inf(void) { + secp256k1_ge p; + secp256k1_gej pj, npj, infj1, infj2, infj3; + secp256k1_fe zinv; + + /* Test that adding P+(-P) results in a fully initialized infinity*/ + testutil_random_ge_test(&p); + secp256k1_gej_set_ge(&pj, &p); + secp256k1_gej_neg(&npj, &pj); + + secp256k1_gej_add_var(&infj1, &pj, &npj, NULL); + CHECK(secp256k1_gej_is_infinity(&infj1)); + CHECK(secp256k1_fe_is_zero(&infj1.x)); + CHECK(secp256k1_fe_is_zero(&infj1.y)); + CHECK(secp256k1_fe_is_zero(&infj1.z)); + + secp256k1_gej_add_ge_var(&infj2, &npj, &p, NULL); + CHECK(secp256k1_gej_is_infinity(&infj2)); + CHECK(secp256k1_fe_is_zero(&infj2.x)); + CHECK(secp256k1_fe_is_zero(&infj2.y)); + CHECK(secp256k1_fe_is_zero(&infj2.z)); + + secp256k1_fe_set_int(&zinv, 1); + secp256k1_gej_add_zinv_var(&infj3, &npj, &p, &zinv); + CHECK(secp256k1_gej_is_infinity(&infj3)); + CHECK(secp256k1_fe_is_zero(&infj3.x)); + CHECK(secp256k1_fe_is_zero(&infj3.y)); + CHECK(secp256k1_fe_is_zero(&infj3.z)); + + +} + +static void test_add_neg_y_diff_x(void) { /* The point of this test is to check that we can add two points * whose y-coordinates are negatives of each other but whose x * coordinates differ. If the x-coordinates were the same, these @@ -2262,22 +3935,15 @@ void test_add_neg_y_diff_x(void) { * which this test is a regression test for. * * These points were generated in sage as - * # secp256k1 params - * F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F) - * C = EllipticCurve ([F (0), F (7)]) - * G = C.lift_x(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798) - * N = FiniteField(G.order()) * - * # endomorphism values (lambda is 1^{1/3} in N, beta is 1^{1/3} in F) - * x = polygen(N) - * lam = (1 - x^3).roots()[1][0] + * load("secp256k1_params.sage") * * # random "bad pair" * P = C.random_element() - * Q = -int(lam) * P - * print " P: %x %x" % P.xy() - * print " Q: %x %x" % Q.xy() - * print "P + Q: %x %x" % (P + Q).xy() + * Q = -int(LAMBDA) * P + * print(" P: %x %x" % P.xy()) + * print(" Q: %x %x" % Q.xy()) + * print("P + Q: %x %x" % (P + Q).xy()) */ secp256k1_gej aj = SECP256K1_GEJ_CONST( 0x8d24cd95, 0x0a355af1, 0x3c543505, 0x44238d30, @@ -2304,27 +3970,101 @@ void test_add_neg_y_diff_x(void) { secp256k1_gej_add_var(&resj, &aj, &bj, NULL); secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); + CHECK(secp256k1_gej_eq_ge_var(&sumj, &res)); secp256k1_gej_add_ge(&resj, &aj, &b); secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); + CHECK(secp256k1_gej_eq_ge_var(&sumj, &res)); secp256k1_gej_add_ge_var(&resj, &aj, &b, NULL); secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); + CHECK(secp256k1_gej_eq_ge_var(&sumj, &res)); +} + +static void test_ge_bytes(void) { + int i; + + for (i = 0; i < COUNT + 1; i++) { + unsigned char buf[64]; + secp256k1_ge p, q; + + if (i == 0) { + secp256k1_ge_set_infinity(&p); + } else { + testutil_random_ge_test(&p); + } + + if (!secp256k1_ge_is_infinity(&p)) { + secp256k1_ge_to_bytes(buf, &p); + + secp256k1_ge_from_bytes(&q, buf); + CHECK(secp256k1_ge_eq_var(&p, &q)); + + secp256k1_ge_from_bytes_ext(&q, buf); + CHECK(secp256k1_ge_eq_var(&p, &q)); + } + secp256k1_ge_to_bytes_ext(buf, &p); + secp256k1_ge_from_bytes_ext(&q, buf); + CHECK(secp256k1_ge_eq_var(&p, &q)); + } } -void run_ge(void) { +static void run_ge(void) { int i; - for (i = 0; i < count * 32; i++) { + for (i = 0; i < COUNT * 32; i++) { test_ge(); } test_add_neg_y_diff_x(); + test_intialized_inf(); + test_ge_bytes(); +} + +static void test_gej_cmov(const secp256k1_gej *a, const secp256k1_gej *b) { + secp256k1_gej t = *a; + secp256k1_gej_cmov(&t, b, 0); + CHECK(gej_xyz_equals_gej(&t, a)); + secp256k1_gej_cmov(&t, b, 1); + CHECK(gej_xyz_equals_gej(&t, b)); +} + +static void run_gej(void) { + int i; + secp256k1_gej a, b; + + /* Tests for secp256k1_gej_cmov */ + for (i = 0; i < COUNT; i++) { + secp256k1_gej_set_infinity(&a); + secp256k1_gej_set_infinity(&b); + test_gej_cmov(&a, &b); + + testutil_random_gej_test(&a); + test_gej_cmov(&a, &b); + test_gej_cmov(&b, &a); + + b = a; + test_gej_cmov(&a, &b); + + testutil_random_gej_test(&b); + test_gej_cmov(&a, &b); + test_gej_cmov(&b, &a); + } + + /* Tests for secp256k1_gej_eq_var */ + for (i = 0; i < COUNT; i++) { + secp256k1_fe fe; + testutil_random_gej_test(&a); + testutil_random_gej_test(&b); + CHECK(!secp256k1_gej_eq_var(&a, &b)); + + b = a; + testutil_random_fe_non_zero_test(&fe); + secp256k1_gej_rescale(&a, &fe); + CHECK(secp256k1_gej_eq_var(&a, &b)); + } } -void test_ec_combine(void) { - secp256k1_scalar sum = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); +static void test_ec_combine(void) { + secp256k1_scalar sum = secp256k1_scalar_zero; secp256k1_pubkey data[6]; const secp256k1_pubkey* d[6]; secp256k1_pubkey sd; @@ -2334,103 +4074,148 @@ void test_ec_combine(void) { int i; for (i = 1; i <= 6; i++) { secp256k1_scalar s; - random_scalar_order_test(&s); + testutil_random_scalar_order_test(&s); secp256k1_scalar_add(&sum, &sum, &s); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &s); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &Qj, &s); secp256k1_ge_set_gej(&Q, &Qj); secp256k1_pubkey_save(&data[i - 1], &Q); d[i - 1] = &data[i - 1]; - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &sum); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &Qj, &sum); secp256k1_ge_set_gej(&Q, &Qj); secp256k1_pubkey_save(&sd, &Q); - CHECK(secp256k1_ec_pubkey_combine(ctx, &sd2, d, i) == 1); - CHECK(memcmp(&sd, &sd2, sizeof(sd)) == 0); + CHECK(secp256k1_ec_pubkey_combine(CTX, &sd2, d, i) == 1); + CHECK(secp256k1_memcmp_var(&sd, &sd2, sizeof(sd)) == 0); } } -void run_ec_combine(void) { +static void run_ec_combine(void) { int i; - for (i = 0; i < count * 8; i++) { + for (i = 0; i < COUNT * 8; i++) { test_ec_combine(); } } -void test_group_decompress(const secp256k1_fe* x) { +static void test_group_decompress(const secp256k1_fe* x) { /* The input itself, normalized. */ secp256k1_fe fex = *x; - secp256k1_fe fez; - /* Results of set_xquad_var, set_xo_var(..., 0), set_xo_var(..., 1). */ - secp256k1_ge ge_quad, ge_even, ge_odd; - secp256k1_gej gej_quad; + /* Results of set_xo_var(..., 0), set_xo_var(..., 1). */ + secp256k1_ge ge_even, ge_odd; /* Return values of the above calls. */ - int res_quad, res_even, res_odd; + int res_even, res_odd; secp256k1_fe_normalize_var(&fex); - res_quad = secp256k1_ge_set_xquad(&ge_quad, &fex); res_even = secp256k1_ge_set_xo_var(&ge_even, &fex, 0); res_odd = secp256k1_ge_set_xo_var(&ge_odd, &fex, 1); - CHECK(res_quad == res_even); - CHECK(res_quad == res_odd); + CHECK(res_even == res_odd); - if (res_quad) { - secp256k1_fe_normalize_var(&ge_quad.x); + if (res_even) { secp256k1_fe_normalize_var(&ge_odd.x); secp256k1_fe_normalize_var(&ge_even.x); - secp256k1_fe_normalize_var(&ge_quad.y); secp256k1_fe_normalize_var(&ge_odd.y); secp256k1_fe_normalize_var(&ge_even.y); /* No infinity allowed. */ - CHECK(!ge_quad.infinity); CHECK(!ge_even.infinity); CHECK(!ge_odd.infinity); /* Check that the x coordinates check out. */ - CHECK(secp256k1_fe_equal_var(&ge_quad.x, x)); - CHECK(secp256k1_fe_equal_var(&ge_even.x, x)); - CHECK(secp256k1_fe_equal_var(&ge_odd.x, x)); - - /* Check that the Y coordinate result in ge_quad is a square. */ - CHECK(secp256k1_fe_is_quad_var(&ge_quad.y)); + CHECK(secp256k1_fe_equal(&ge_even.x, x)); + CHECK(secp256k1_fe_equal(&ge_odd.x, x)); /* Check odd/even Y in ge_odd, ge_even. */ CHECK(secp256k1_fe_is_odd(&ge_odd.y)); CHECK(!secp256k1_fe_is_odd(&ge_even.y)); - - /* Check secp256k1_gej_has_quad_y_var. */ - secp256k1_gej_set_ge(&gej_quad, &ge_quad); - CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); - do { - random_fe_test(&fez); - } while (secp256k1_fe_is_zero(&fez)); - secp256k1_gej_rescale(&gej_quad, &fez); - CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); - secp256k1_gej_neg(&gej_quad, &gej_quad); - CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad)); - do { - random_fe_test(&fez); - } while (secp256k1_fe_is_zero(&fez)); - secp256k1_gej_rescale(&gej_quad, &fez); - CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad)); - secp256k1_gej_neg(&gej_quad, &gej_quad); - CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); } } -void run_group_decompress(void) { +static void run_group_decompress(void) { int i; - for (i = 0; i < count * 4; i++) { + for (i = 0; i < COUNT * 4; i++) { secp256k1_fe fe; - random_fe_test(&fe); + testutil_random_fe_test(&fe); test_group_decompress(&fe); } } /***** ECMULT TESTS *****/ -void run_ecmult_chain(void) { +static void test_pre_g_table(const secp256k1_ge_storage * pre_g, size_t n) { + /* Tests the pre_g / pre_g_128 tables for consistency. + * For independent verification we take a "geometric" approach to verification. + * We check that every entry is on-curve. + * We check that for consecutive entries p and q, that p + gg - q = 0 by checking + * (1) p, gg, and -q are colinear. + * (2) p, gg, and -q are all distinct. + * where gg is twice the generator, where the generator is the first table entry. + * + * Checking the table's generators are correct is done in run_ecmult_pre_g. + */ + secp256k1_gej g2; + secp256k1_ge p, q, gg; + secp256k1_fe dpx, dpy, dqx, dqy; + size_t i; + + CHECK(0 < n); + + secp256k1_ge_from_storage(&p, &pre_g[0]); + CHECK(secp256k1_ge_is_valid_var(&p)); + + secp256k1_gej_set_ge(&g2, &p); + secp256k1_gej_double_var(&g2, &g2, NULL); + secp256k1_ge_set_gej_var(&gg, &g2); + for (i = 1; i < n; ++i) { + secp256k1_fe_negate(&dpx, &p.x, 1); secp256k1_fe_add(&dpx, &gg.x); secp256k1_fe_normalize_weak(&dpx); + secp256k1_fe_negate(&dpy, &p.y, 1); secp256k1_fe_add(&dpy, &gg.y); secp256k1_fe_normalize_weak(&dpy); + /* Check that p is not equal to gg */ + CHECK(!secp256k1_fe_normalizes_to_zero_var(&dpx) || !secp256k1_fe_normalizes_to_zero_var(&dpy)); + + secp256k1_ge_from_storage(&q, &pre_g[i]); + CHECK(secp256k1_ge_is_valid_var(&q)); + + secp256k1_fe_negate(&dqx, &q.x, 1); secp256k1_fe_add(&dqx, &gg.x); + dqy = q.y; secp256k1_fe_add(&dqy, &gg.y); + /* Check that -q is not equal to gg */ + CHECK(!secp256k1_fe_normalizes_to_zero_var(&dqx) || !secp256k1_fe_normalizes_to_zero_var(&dqy)); + + /* Check that -q is not equal to p */ + CHECK(!secp256k1_fe_equal(&dpx, &dqx) || !secp256k1_fe_equal(&dpy, &dqy)); + + /* Check that p, -q and gg are colinear */ + secp256k1_fe_mul(&dpx, &dpx, &dqy); + secp256k1_fe_mul(&dpy, &dpy, &dqx); + CHECK(secp256k1_fe_equal(&dpx, &dpy)); + + p = q; + } +} + +static void run_ecmult_pre_g(void) { + secp256k1_ge_storage gs; + secp256k1_gej gj; + secp256k1_ge g; + size_t i; + + /* Check that the pre_g and pre_g_128 tables are consistent. */ + test_pre_g_table(secp256k1_pre_g, ECMULT_TABLE_SIZE(WINDOW_G)); + test_pre_g_table(secp256k1_pre_g_128, ECMULT_TABLE_SIZE(WINDOW_G)); + + /* Check the first entry from the pre_g table. */ + secp256k1_ge_to_storage(&gs, &secp256k1_ge_const_g); + CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g[0], sizeof(gs)) == 0); + + /* Check the first entry from the pre_g_128 table. */ + secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); + for (i = 0; i < 128; ++i) { + secp256k1_gej_double_var(&gj, &gj, NULL); + } + secp256k1_ge_set_gej(&g, &gj); + secp256k1_ge_to_storage(&gs, &g); + CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g_128[0], sizeof(gs)) == 0); +} + +static void run_ecmult_chain(void) { /* random starting point A (on the curve) */ secp256k1_gej a = SECP256K1_GEJ_CONST( 0x8b30bbe9, 0xae2a9906, 0x96b22f67, 0x0709dff3, @@ -2451,8 +4236,8 @@ void run_ecmult_chain(void) { static const secp256k1_scalar xf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x1337); static const secp256k1_scalar gf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x7113); /* accumulators with the resulting coefficients to A and G */ - secp256k1_scalar ae = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_scalar ge = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + secp256k1_scalar ae = secp256k1_scalar_one; + secp256k1_scalar ge = secp256k1_scalar_zero; /* actual points */ secp256k1_gej x; secp256k1_gej x2; @@ -2460,9 +4245,9 @@ void run_ecmult_chain(void) { /* the point being computed */ x = a; - for (i = 0; i < 200*count; i++) { + for (i = 0; i < 200*COUNT; i++) { /* in each iteration, compute X = xn*X + gn*G; */ - secp256k1_ecmult(&ctx->ecmult_ctx, &x, &x, &xn, &gn); + secp256k1_ecmult(&x, &x, &xn, &gn); /* also compute ae and ge: the actual accumulated factors for A and G */ /* if X was (ae*A+ge*G), xn*X + gn*G results in (xn*ae*A + (xn*ge+gn)*G) */ secp256k1_scalar_mul(&ae, &ae, &xn); @@ -2481,36 +4266,28 @@ void run_ecmult_chain(void) { 0xB95CBCA2, 0xC77DA786, 0x539BE8FD, 0x53354D2D, 0x3B4F566A, 0xE6580454, 0x07ED6015, 0xEE1B2A88 ); - - secp256k1_gej_neg(&rp, &rp); - secp256k1_gej_add_var(&rp, &rp, &x, NULL); - CHECK(secp256k1_gej_is_infinity(&rp)); + CHECK(secp256k1_gej_eq_var(&rp, &x)); } } /* redo the computation, but directly with the resulting ae and ge coefficients: */ - secp256k1_ecmult(&ctx->ecmult_ctx, &x2, &a, &ae, &ge); - secp256k1_gej_neg(&x2, &x2); - secp256k1_gej_add_var(&x2, &x2, &x, NULL); - CHECK(secp256k1_gej_is_infinity(&x2)); + secp256k1_ecmult(&x2, &a, &ae, &ge); + CHECK(secp256k1_gej_eq_var(&x, &x2)); } -void test_point_times_order(const secp256k1_gej *point) { +static void test_point_times_order(const secp256k1_gej *point) { /* X * (point + G) + (order-X) * (pointer + G) = 0 */ secp256k1_scalar x; secp256k1_scalar nx; - secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); secp256k1_gej res1, res2; secp256k1_ge res3; unsigned char pub[65]; size_t psize = 65; - random_scalar_order_test(&x); + testutil_random_scalar_order_test(&x); secp256k1_scalar_negate(&nx, &x); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &x, &x); /* calc res1 = x * point + x * G; */ - secp256k1_ecmult(&ctx->ecmult_ctx, &res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */ + secp256k1_ecmult(&res1, point, &x, &x); /* calc res1 = x * point + x * G; */ + secp256k1_ecmult(&res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */ secp256k1_gej_add_var(&res1, &res1, &res2, NULL); CHECK(secp256k1_gej_is_infinity(&res1)); - CHECK(secp256k1_gej_is_valid_var(&res1) == 0); secp256k1_ge_set_gej(&res3, &res1); CHECK(secp256k1_ge_is_infinity(&res3)); CHECK(secp256k1_ge_is_valid_var(&res3) == 0); @@ -2518,18 +4295,98 @@ void test_point_times_order(const secp256k1_gej *point) { psize = 65; CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 1) == 0); /* check zero/one edge cases */ - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &zero); + secp256k1_ecmult(&res1, point, &secp256k1_scalar_zero, &secp256k1_scalar_zero); secp256k1_ge_set_gej(&res3, &res1); CHECK(secp256k1_ge_is_infinity(&res3)); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &one, &zero); + secp256k1_ecmult(&res1, point, &secp256k1_scalar_one, &secp256k1_scalar_zero); secp256k1_ge_set_gej(&res3, &res1); - ge_equals_gej(&res3, point); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &one); + CHECK(secp256k1_gej_eq_ge_var(point, &res3)); + secp256k1_ecmult(&res1, point, &secp256k1_scalar_zero, &secp256k1_scalar_one); secp256k1_ge_set_gej(&res3, &res1); - ge_equals_ge(&res3, &secp256k1_ge_const_g); + CHECK(secp256k1_ge_eq_var(&secp256k1_ge_const_g, &res3)); +} + +/* These scalars reach large (in absolute value) outputs when fed to secp256k1_scalar_split_lambda. + * + * They are computed as: + * - For a in [-2, -1, 0, 1, 2]: + * - For b in [-3, -1, 1, 3]: + * - Output (a*LAMBDA + (ORDER+b)/2) % ORDER + */ +static const secp256k1_scalar scalars_near_split_bounds[20] = { + SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6fc), + SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6fd), + SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6fe), + SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6ff), + SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf7632d), + SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf7632e), + SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf7632f), + SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf76330), + SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b209f), + SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b20a0), + SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b20a1), + SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b20a2), + SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede11), + SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede12), + SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede13), + SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede14), + SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a42), + SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a43), + SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a44), + SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a45) +}; + +static void test_ecmult_target(const secp256k1_scalar* target, int mode) { + /* Mode: 0=ecmult_gen, 1=ecmult, 2=ecmult_const */ + secp256k1_scalar n1, n2; + secp256k1_ge p; + secp256k1_gej pj, p1j, p2j, ptj; + + /* Generate random n1,n2 such that n1+n2 = -target. */ + testutil_random_scalar_order_test(&n1); + secp256k1_scalar_add(&n2, &n1, target); + secp256k1_scalar_negate(&n2, &n2); + + /* Generate a random input point. */ + if (mode != 0) { + testutil_random_ge_test(&p); + secp256k1_gej_set_ge(&pj, &p); + } + + /* EC multiplications */ + if (mode == 0) { + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &p1j, &n1); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &p2j, &n2); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &ptj, target); + } else if (mode == 1) { + secp256k1_ecmult(&p1j, &pj, &n1, &secp256k1_scalar_zero); + secp256k1_ecmult(&p2j, &pj, &n2, &secp256k1_scalar_zero); + secp256k1_ecmult(&ptj, &pj, target, &secp256k1_scalar_zero); + } else { + secp256k1_ecmult_const(&p1j, &p, &n1); + secp256k1_ecmult_const(&p2j, &p, &n2); + secp256k1_ecmult_const(&ptj, &p, target); + } + + /* Add them all up: n1*P + n2*P + target*P = (n1+n2+target)*P = (n1+n1-n1-n2)*P = 0. */ + secp256k1_gej_add_var(&ptj, &ptj, &p1j, NULL); + secp256k1_gej_add_var(&ptj, &ptj, &p2j, NULL); + CHECK(secp256k1_gej_is_infinity(&ptj)); +} + +static void run_ecmult_near_split_bound(void) { + int i; + unsigned j; + for (i = 0; i < 4*COUNT; ++i) { + for (j = 0; j < sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); ++j) { + test_ecmult_target(&scalars_near_split_bounds[j], 0); + test_ecmult_target(&scalars_near_split_bounds[j], 1); + test_ecmult_target(&scalars_near_split_bounds[j], 2); + } + } } -void run_point_times_order(void) { +static void run_point_times_order(void) { int i; secp256k1_fe x = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2); static const secp256k1_fe xr = SECP256K1_FE_CONST( @@ -2542,16 +4399,15 @@ void run_point_times_order(void) { secp256k1_gej j; CHECK(secp256k1_ge_is_valid_var(&p)); secp256k1_gej_set_ge(&j, &p); - CHECK(secp256k1_gej_is_valid_var(&j)); test_point_times_order(&j); } secp256k1_fe_sqr(&x, &x); } secp256k1_fe_normalize_var(&x); - CHECK(secp256k1_fe_equal_var(&x, &xr)); + CHECK(secp256k1_fe_equal(&x, &xr)); } -void ecmult_const_random_mult(void) { +static void ecmult_const_random_mult(void) { /* random starting point A (on the curve) */ secp256k1_ge a = SECP256K1_GE_CONST( 0x6d986544, 0x57ff52b8, 0xcf1b8126, 0x5b802a5b, @@ -2572,56 +4428,158 @@ void ecmult_const_random_mult(void) { 0xb84e4e1b, 0xfb77e21f, 0x96baae2a, 0x63dec956 ); secp256k1_gej b; - secp256k1_ecmult_const(&b, &a, &xn, 256); + secp256k1_ecmult_const(&b, &a, &xn); CHECK(secp256k1_ge_is_valid_var(&a)); - ge_equals_gej(&expected_b, &b); + CHECK(secp256k1_gej_eq_ge_var(&b, &expected_b)); } -void ecmult_const_commutativity(void) { +static void ecmult_const_commutativity(void) { secp256k1_scalar a; secp256k1_scalar b; secp256k1_gej res1; secp256k1_gej res2; secp256k1_ge mid1; secp256k1_ge mid2; - random_scalar_order_test(&a); - random_scalar_order_test(&b); + testutil_random_scalar_order_test(&a); + testutil_random_scalar_order_test(&b); - secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a, 256); - secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b, 256); + secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a); + secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b); secp256k1_ge_set_gej(&mid1, &res1); secp256k1_ge_set_gej(&mid2, &res2); - secp256k1_ecmult_const(&res1, &mid1, &b, 256); - secp256k1_ecmult_const(&res2, &mid2, &a, 256); + secp256k1_ecmult_const(&res1, &mid1, &b); + secp256k1_ecmult_const(&res2, &mid2, &a); secp256k1_ge_set_gej(&mid1, &res1); secp256k1_ge_set_gej(&mid2, &res2); - ge_equals_ge(&mid1, &mid2); + CHECK(secp256k1_ge_eq_var(&mid1, &mid2)); } -void ecmult_const_mult_zero_one(void) { - secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); +static void ecmult_const_mult_zero_one(void) { + secp256k1_scalar s; secp256k1_scalar negone; secp256k1_gej res1; secp256k1_ge res2; secp256k1_ge point; - secp256k1_scalar_negate(&negone, &one); + secp256k1_ge inf; - random_group_element_test(&point); - secp256k1_ecmult_const(&res1, &point, &zero, 3); - secp256k1_ge_set_gej(&res2, &res1); - CHECK(secp256k1_ge_is_infinity(&res2)); - secp256k1_ecmult_const(&res1, &point, &one, 2); + testutil_random_scalar_order_test(&s); + secp256k1_scalar_negate(&negone, &secp256k1_scalar_one); + testutil_random_ge_test(&point); + secp256k1_ge_set_infinity(&inf); + + /* 0*point */ + secp256k1_ecmult_const(&res1, &point, &secp256k1_scalar_zero); + CHECK(secp256k1_gej_is_infinity(&res1)); + + /* s*inf */ + secp256k1_ecmult_const(&res1, &inf, &s); + CHECK(secp256k1_gej_is_infinity(&res1)); + + /* 1*point */ + secp256k1_ecmult_const(&res1, &point, &secp256k1_scalar_one); secp256k1_ge_set_gej(&res2, &res1); - ge_equals_ge(&res2, &point); - secp256k1_ecmult_const(&res1, &point, &negone, 256); + CHECK(secp256k1_ge_eq_var(&res2, &point)); + + /* -1*point */ + secp256k1_ecmult_const(&res1, &point, &negone); secp256k1_gej_neg(&res1, &res1); secp256k1_ge_set_gej(&res2, &res1); - ge_equals_ge(&res2, &point); + CHECK(secp256k1_ge_eq_var(&res2, &point)); +} + +static void ecmult_const_check_result(const secp256k1_ge *A, const secp256k1_scalar* q, const secp256k1_gej *res) { + secp256k1_gej pointj, res2j; + secp256k1_ge res2; + secp256k1_gej_set_ge(&pointj, A); + secp256k1_ecmult(&res2j, &pointj, q, &secp256k1_scalar_zero); + secp256k1_ge_set_gej(&res2, &res2j); + CHECK(secp256k1_gej_eq_ge_var(res, &res2)); +} + +static void ecmult_const_edges(void) { + secp256k1_scalar q; + secp256k1_ge point; + secp256k1_gej res; + size_t i; + size_t cases = 1 + sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); + + /* We are trying to reach the following edge cases (variables are defined as + * in ecmult_const_impl.h): + * 1. i = 0: s = 0 <=> q = -K + * 2. i > 0: v1, v2 large values + * <=> s1, s2 large values + * <=> s = scalars_near_split_bounds[i] + * <=> q = 2*scalars_near_split_bounds[i] - K + */ + for (i = 0; i < cases; ++i) { + secp256k1_scalar_negate(&q, &secp256k1_ecmult_const_K); + if (i > 0) { + secp256k1_scalar_add(&q, &q, &scalars_near_split_bounds[i - 1]); + secp256k1_scalar_add(&q, &q, &scalars_near_split_bounds[i - 1]); + } + testutil_random_ge_test(&point); + secp256k1_ecmult_const(&res, &point, &q); + ecmult_const_check_result(&point, &q, &res); + } +} + +static void ecmult_const_mult_xonly(void) { + int i; + + /* Test correspondence between secp256k1_ecmult_const and secp256k1_ecmult_const_xonly. */ + for (i = 0; i < 2*COUNT; ++i) { + secp256k1_ge base; + secp256k1_gej basej, resj; + secp256k1_fe n, d, resx, v; + secp256k1_scalar q; + int res; + /* Random base point. */ + testutil_random_ge_test(&base); + /* Random scalar to multiply it with. */ + testutil_random_scalar_order_test(&q); + /* If i is odd, n=d*base.x for random non-zero d */ + if (i & 1) { + testutil_random_fe_non_zero_test(&d); + secp256k1_fe_mul(&n, &base.x, &d); + } else { + n = base.x; + } + /* Perform x-only multiplication. */ + res = secp256k1_ecmult_const_xonly(&resx, &n, (i & 1) ? &d : NULL, &q, i & 2); + CHECK(res); + /* Perform normal multiplication. */ + secp256k1_gej_set_ge(&basej, &base); + secp256k1_ecmult(&resj, &basej, &q, NULL); + /* Check that resj's X coordinate corresponds with resx. */ + secp256k1_fe_sqr(&v, &resj.z); + secp256k1_fe_mul(&v, &v, &resx); + CHECK(fe_equal(&v, &resj.x)); + } + + /* Test that secp256k1_ecmult_const_xonly correctly rejects X coordinates not on curve. */ + for (i = 0; i < 2*COUNT; ++i) { + secp256k1_fe x, n, d, r; + int res; + secp256k1_scalar q; + testutil_random_scalar_order_test(&q); + /* Generate random X coordinate not on the curve. */ + do { + testutil_random_fe_test(&x); + } while (secp256k1_ge_x_on_curve_var(&x)); + /* If i is odd, n=d*x for random non-zero d. */ + if (i & 1) { + testutil_random_fe_non_zero_test(&d); + secp256k1_fe_mul(&n, &x, &d); + } else { + n = x; + } + res = secp256k1_ecmult_const_xonly(&r, &n, (i & 1) ? &d : NULL, &q, 0); + CHECK(res == 0); + } } -void ecmult_const_chain_multiply(void) { +static void ecmult_const_chain_multiply(void) { /* Check known result (randomly generated test problem from sage) */ const secp256k1_scalar scalar = SECP256K1_SCALAR_CONST( 0x4968d524, 0x2abf9b7a, 0x466abbcf, 0x34b11b6d, @@ -2641,17 +4599,19 @@ void ecmult_const_chain_multiply(void) { for (i = 0; i < 100; ++i) { secp256k1_ge tmp; secp256k1_ge_set_gej(&tmp, &point); - secp256k1_ecmult_const(&point, &tmp, &scalar, 256); + secp256k1_ecmult_const(&point, &tmp, &scalar); } secp256k1_ge_set_gej(&res, &point); - ge_equals_gej(&res, &expected_point); + CHECK(secp256k1_gej_eq_ge_var(&expected_point, &res)); } -void run_ecmult_const_tests(void) { +static void run_ecmult_const_tests(void) { ecmult_const_mult_zero_one(); + ecmult_const_edges(); ecmult_const_random_mult(); ecmult_const_commutativity(); ecmult_const_chain_multiply(); + ecmult_const_mult_xonly(); } typedef struct { @@ -2674,9 +4634,8 @@ static int ecmult_multi_false_callback(secp256k1_scalar *sc, secp256k1_ge *pt, s return 0; } -void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func ecmult_multi) { +static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func ecmult_multi) { int ncount; - secp256k1_scalar szero; secp256k1_scalar sc[32]; secp256k1_ge pt[32]; secp256k1_gej r; @@ -2685,95 +4644,86 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e data.sc = sc; data.pt = pt; - secp256k1_scalar_set_int(&szero, 0); /* No points to multiply */ - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, NULL, ecmult_multi_callback, &data, 0)); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, NULL, ecmult_multi_callback, &data, 0)); /* Check 1- and 2-point multiplies against ecmult */ - for (ncount = 0; ncount < count; ncount++) { + for (ncount = 0; ncount < COUNT; ncount++) { secp256k1_ge ptg; secp256k1_gej ptgj; - random_scalar_order(&sc[0]); - random_scalar_order(&sc[1]); + testutil_random_scalar_order(&sc[0]); + testutil_random_scalar_order(&sc[1]); - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_gej_set_ge(&ptgj, &ptg); pt[0] = ptg; pt[1] = secp256k1_ge_const_g; /* only G scalar */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &szero, &sc[0]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + secp256k1_ecmult(&r2, &ptgj, &secp256k1_scalar_zero, &sc[0]); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); /* 1-point */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 1)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 1)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); /* Try to multiply 1 point, but callback returns false */ - CHECK(!ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1)); + CHECK(!ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_false_callback, &data, 1)); /* 2-point */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 2)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 2)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); /* 2-point with G scalar */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Check infinite outputs of various forms */ - for (ncount = 0; ncount < count; ncount++) { + for (ncount = 0; ncount < COUNT; ncount++) { secp256k1_ge ptg; size_t i, j; size_t sizes[] = { 2, 10, 32 }; for (j = 0; j < 3; j++) { for (i = 0; i < 32; i++) { - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); secp256k1_ge_set_infinity(&pt[i]); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } for (j = 0; j < 3; j++) { for (i = 0; i < 32; i++) { - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); pt[i] = ptg; secp256k1_scalar_set_int(&sc[i], 0); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } for (j = 0; j < 3; j++) { - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); for (i = 0; i < 16; i++) { - random_scalar_order(&sc[2*i]); + testutil_random_scalar_order(&sc[2*i]); secp256k1_scalar_negate(&sc[2*i + 1], &sc[2*i]); pt[2 * i] = ptg; pt[2 * i + 1] = ptg; } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); - random_scalar_order(&sc[0]); + testutil_random_scalar_order(&sc[0]); for (i = 0; i < 16; i++) { - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); sc[2*i] = sc[0]; sc[2*i+1] = sc[0]; @@ -2781,82 +4731,79 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_ge_neg(&pt[2*i+1], &pt[2*i]); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_scalar_set_int(&sc[0], 0); pt[0] = ptg; for (i = 1; i < 32; i++) { pt[i] = ptg; - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); secp256k1_scalar_add(&sc[0], &sc[0], &sc[i]); secp256k1_scalar_negate(&sc[i], &sc[i]); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 32)); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 32)); CHECK(secp256k1_gej_is_infinity(&r)); } /* Check random points, constant scalar */ - for (ncount = 0; ncount < count; ncount++) { + for (ncount = 0; ncount < COUNT; ncount++) { size_t i; secp256k1_gej_set_infinity(&r); - random_scalar_order(&sc[0]); + testutil_random_scalar_order(&sc[0]); for (i = 0; i < 20; i++) { secp256k1_ge ptg; sc[i] = sc[0]; - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); pt[i] = ptg; secp256k1_gej_add_ge_var(&r, &r, &pt[i], NULL); } - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r, &sc[0], &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + secp256k1_ecmult(&r2, &r, &sc[0], &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Check random scalars, constant point */ - for (ncount = 0; ncount < count; ncount++) { + for (ncount = 0; ncount < COUNT; ncount++) { size_t i; secp256k1_ge ptg; secp256k1_gej p0j; secp256k1_scalar rs; secp256k1_scalar_set_int(&rs, 0); - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); for (i = 0; i < 20; i++) { - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); pt[i] = ptg; secp256k1_scalar_add(&rs, &rs, &sc[i]); } secp256k1_gej_set_ge(&p0j, &pt[0]); - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &p0j, &rs, &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + secp256k1_ecmult(&r2, &p0j, &rs, &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Sanity check that zero scalars don't cause problems */ for (ncount = 0; ncount < 20; ncount++) { - random_scalar_order(&sc[ncount]); - random_group_element_test(&pt[ncount]); - } - secp256k1_scalar_clear(&sc[0]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); - secp256k1_scalar_clear(&sc[1]); - secp256k1_scalar_clear(&sc[2]); - secp256k1_scalar_clear(&sc[3]); - secp256k1_scalar_clear(&sc[4]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 6)); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 5)); + testutil_random_scalar_order(&sc[ncount]); + testutil_random_ge_test(&pt[ncount]); + } + + secp256k1_scalar_set_int(&sc[0], 0); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20)); + secp256k1_scalar_set_int(&sc[1], 0); + secp256k1_scalar_set_int(&sc[2], 0); + secp256k1_scalar_set_int(&sc[3], 0); + secp256k1_scalar_set_int(&sc[4], 0); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 6)); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 5)); CHECK(secp256k1_gej_is_infinity(&r)); /* Run through s0*(t0*P) + s1*(t1*P) exhaustively for many small values of s0, s1, t0, t1 */ @@ -2867,7 +4814,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_ge ptg; secp256k1_gej ptgj; - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_gej_set_ge(&ptgj, &ptg); for(t0i = 0; t0i < TOP; t0i++) { @@ -2880,8 +4827,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_scalar_set_int(&t1, (t1i + 1) / 2); secp256k1_scalar_cond_negate(&t1, t1i & 1); - secp256k1_ecmult(&ctx->ecmult_ctx, &t0p, &ptgj, &t0, &szero); - secp256k1_ecmult(&ctx->ecmult_ctx, &t1p, &ptgj, &t1, &szero); + secp256k1_ecmult(&t0p, &ptgj, &t0, &secp256k1_scalar_zero); + secp256k1_ecmult(&t1p, &ptgj, &t1, &secp256k1_scalar_zero); for(s0i = 0; s0i < TOP; s0i++) { for(s1i = 0; s1i < TOP; s1i++) { @@ -2900,11 +4847,9 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_scalar_mul(&tmp2, &t1, &sc[1]); secp256k1_scalar_add(&tmp1, &tmp1, &tmp2); - secp256k1_ecmult(&ctx->ecmult_ctx, &expected, &ptgj, &tmp1, &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &actual, &szero, ecmult_multi_callback, &data, 2)); - secp256k1_gej_neg(&expected, &expected); - secp256k1_gej_add_var(&actual, &actual, &expected, NULL); - CHECK(secp256k1_gej_is_infinity(&actual)); + secp256k1_ecmult(&expected, &ptgj, &tmp1, &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &actual, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 2)); + CHECK(secp256k1_gej_eq_var(&actual, &expected)); } } } @@ -2912,35 +4857,199 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e } } -void test_ecmult_multi_batch_single(secp256k1_ecmult_multi_func ecmult_multi) { - secp256k1_scalar szero; - secp256k1_scalar sc[32]; - secp256k1_ge pt[32]; +static int test_ecmult_multi_random(secp256k1_scratch *scratch) { + /* Large random test for ecmult_multi_* functions which exercises: + * - Few or many inputs (0 up to 128, roughly exponentially distributed). + * - Few or many 0*P or a*INF inputs (roughly uniformly distributed). + * - Including or excluding an nonzero a*G term (or such a term at all). + * - Final expected result equal to infinity or not (roughly 50%). + * - ecmult_multi_var, ecmult_strauss_single_batch, ecmult_pippenger_single_batch + */ + + /* These 4 variables define the eventual input to the ecmult_multi function. + * g_scalar is the G scalar fed to it (or NULL, possibly, if g_scalar=0), and + * scalars[0..filled-1] and gejs[0..filled-1] are the scalars and points + * which form its normal inputs. */ + int filled = 0; + secp256k1_scalar g_scalar = secp256k1_scalar_zero; + secp256k1_scalar scalars[128]; + secp256k1_gej gejs[128]; + /* The expected result, and the computed result. */ + secp256k1_gej expected, computed; + /* Temporaries. */ + secp256k1_scalar sc_tmp; + secp256k1_ge ge_tmp; + /* Variables needed for the actual input to ecmult_multi. */ + secp256k1_ge ges[128]; + ecmult_multi_data data; + + int i; + /* Which multiplication function to use */ + int fn = testrand_int(3); + secp256k1_ecmult_multi_func ecmult_multi = fn == 0 ? secp256k1_ecmult_multi_var : + fn == 1 ? secp256k1_ecmult_strauss_batch_single : + secp256k1_ecmult_pippenger_batch_single; + /* Simulate exponentially distributed num. */ + int num_bits = 2 + testrand_int(6); + /* Number of (scalar, point) inputs (excluding g). */ + int num = testrand_int((1 << num_bits) + 1); + /* Number of those which are nonzero. */ + int num_nonzero = testrand_int(num + 1); + /* Whether we're aiming to create an input with nonzero expected result. */ + int nonzero_result = testrand_bits(1); + /* Whether we will provide nonzero g multiplicand. In some cases our hand + * is forced here based on num_nonzero and nonzero_result. */ + int g_nonzero = num_nonzero == 0 ? nonzero_result : + num_nonzero == 1 && !nonzero_result ? 1 : + (int)testrand_bits(1); + /* Which g_scalar pointer to pass into ecmult_multi(). */ + const secp256k1_scalar* g_scalar_ptr = (g_nonzero || testrand_bits(1)) ? &g_scalar : NULL; + /* How many EC multiplications were performed in this function. */ + int mults = 0; + /* How many randomization steps to apply to the input list. */ + int rands = (int)testrand_bits(3); + if (rands > num_nonzero) rands = num_nonzero; + + secp256k1_gej_set_infinity(&expected); + secp256k1_gej_set_infinity(&gejs[0]); + secp256k1_scalar_set_int(&scalars[0], 0); + + if (g_nonzero) { + /* If g_nonzero, set g_scalar to nonzero value r. */ + testutil_random_scalar_order_test(&g_scalar); + if (!nonzero_result) { + /* If expected=0 is desired, add a (a*r, -(1/a)*g) term to compensate. */ + CHECK(num_nonzero > filled); + testutil_random_scalar_order_test(&sc_tmp); + secp256k1_scalar_mul(&scalars[filled], &sc_tmp, &g_scalar); + secp256k1_scalar_inverse_var(&sc_tmp, &sc_tmp); + secp256k1_scalar_negate(&sc_tmp, &sc_tmp); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &gejs[filled], &sc_tmp); + ++filled; + ++mults; + } + } + + if (nonzero_result && filled < num_nonzero) { + /* If a nonzero result is desired, and there is space, add a random nonzero term. */ + testutil_random_scalar_order_test(&scalars[filled]); + testutil_random_ge_test(&ge_tmp); + secp256k1_gej_set_ge(&gejs[filled], &ge_tmp); + ++filled; + } + + if (nonzero_result) { + /* Compute the expected result using normal ecmult. */ + CHECK(filled <= 1); + secp256k1_ecmult(&expected, &gejs[0], &scalars[0], &g_scalar); + mults += filled + g_nonzero; + } + + /* At this point we have expected = scalar_g*G + sum(scalars[i]*gejs[i] for i=0..filled-1). */ + CHECK(filled <= 1 + !nonzero_result); + CHECK(filled <= num_nonzero); + + /* Add entries to scalars,gejs so that there are num of them. All the added entries + * either have scalar=0 or point=infinity, so these do not change the expected result. */ + while (filled < num) { + if (testrand_bits(1)) { + secp256k1_gej_set_infinity(&gejs[filled]); + testutil_random_scalar_order_test(&scalars[filled]); + } else { + secp256k1_scalar_set_int(&scalars[filled], 0); + testutil_random_ge_test(&ge_tmp); + secp256k1_gej_set_ge(&gejs[filled], &ge_tmp); + } + ++filled; + } + + /* Now perform cheapish transformations on gejs and scalars, for indices + * 0..num_nonzero-1, which do not change the expected result, but may + * convert some of them to be both non-0-scalar and non-infinity-point. */ + for (i = 0; i < rands; ++i) { + int j; + secp256k1_scalar v, iv; + /* Shuffle the entries. */ + for (j = 0; j < num_nonzero; ++j) { + int k = testrand_int(num_nonzero - j); + if (k != 0) { + secp256k1_gej gej = gejs[j]; + secp256k1_scalar sc = scalars[j]; + gejs[j] = gejs[j + k]; + scalars[j] = scalars[j + k]; + gejs[j + k] = gej; + scalars[j + k] = sc; + } + } + /* Perturb all consecutive pairs of inputs: + * a*P + b*Q -> (a+b)*P + b*(Q-P). */ + for (j = 0; j + 1 < num_nonzero; j += 2) { + secp256k1_gej gej; + secp256k1_scalar_add(&scalars[j], &scalars[j], &scalars[j+1]); + secp256k1_gej_neg(&gej, &gejs[j]); + secp256k1_gej_add_var(&gejs[j+1], &gejs[j+1], &gej, NULL); + } + /* Transform the last input: a*P -> (v*a) * ((1/v)*P). */ + CHECK(num_nonzero >= 1); + testutil_random_scalar_order_test(&v); + secp256k1_scalar_inverse(&iv, &v); + secp256k1_scalar_mul(&scalars[num_nonzero - 1], &scalars[num_nonzero - 1], &v); + secp256k1_ecmult(&gejs[num_nonzero - 1], &gejs[num_nonzero - 1], &iv, NULL); + ++mults; + } + + /* Shuffle all entries (0..num-1). */ + for (i = 0; i < num; ++i) { + int j = testrand_int(num - i); + if (j != 0) { + secp256k1_gej gej = gejs[i]; + secp256k1_scalar sc = scalars[i]; + gejs[i] = gejs[i + j]; + scalars[i] = scalars[i + j]; + gejs[i + j] = gej; + scalars[i + j] = sc; + } + } + + /* Compute affine versions of all inputs. */ + secp256k1_ge_set_all_gej_var(ges, gejs, filled); + /* Invoke ecmult_multi code. */ + data.sc = scalars; + data.pt = ges; + CHECK(ecmult_multi(&CTX->error_callback, scratch, &computed, g_scalar_ptr, ecmult_multi_callback, &data, filled)); + mults += num_nonzero + g_nonzero; + /* Compare with expected result. */ + CHECK(secp256k1_gej_eq_var(&computed, &expected)); + return mults; +} + +static void test_ecmult_multi_batch_single(secp256k1_ecmult_multi_func ecmult_multi) { + secp256k1_scalar sc; + secp256k1_ge pt; secp256k1_gej r; ecmult_multi_data data; secp256k1_scratch *scratch_empty; - data.sc = sc; - data.pt = pt; - secp256k1_scalar_set_int(&szero, 0); + testutil_random_ge_test(&pt); + testutil_random_scalar_order(&sc); + data.sc = ≻ + data.pt = &pt; /* Try to multiply 1 point, but scratch space is empty.*/ - scratch_empty = secp256k1_scratch_create(&ctx->error_callback, 0); - CHECK(!ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1)); - secp256k1_scratch_destroy(&ctx->error_callback, scratch_empty); + scratch_empty = secp256k1_scratch_create(&CTX->error_callback, 0); + CHECK(!ecmult_multi(&CTX->error_callback, scratch_empty, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 1)); + secp256k1_scratch_destroy(&CTX->error_callback, scratch_empty); } -void test_secp256k1_pippenger_bucket_window_inv(void) { +static void test_secp256k1_pippenger_bucket_window_inv(void) { int i; CHECK(secp256k1_pippenger_bucket_window_inv(0) == 0); for(i = 1; i <= PIPPENGER_MAX_BUCKET_WINDOW; i++) { -#ifdef USE_ENDOMORPHISM /* Bucket_window of 8 is not used with endo */ if (i == 8) { continue; } -#endif CHECK(secp256k1_pippenger_bucket_window(secp256k1_pippenger_bucket_window_inv(i)) == i); if (i != PIPPENGER_MAX_BUCKET_WINDOW) { CHECK(secp256k1_pippenger_bucket_window(secp256k1_pippenger_bucket_window_inv(i)+1) > i); @@ -2952,8 +5061,8 @@ void test_secp256k1_pippenger_bucket_window_inv(void) { * Probabilistically test the function returning the maximum number of possible points * for a given scratch space. */ -void test_ecmult_multi_pippenger_max_points(void) { - size_t scratch_size = secp256k1_rand_int(256); +static void test_ecmult_multi_pippenger_max_points(void) { + size_t scratch_size = testrand_bits(8); size_t max_size = secp256k1_pippenger_scratch_size(secp256k1_pippenger_bucket_window_inv(PIPPENGER_MAX_BUCKET_WINDOW-1)+512, 12); secp256k1_scratch *scratch; size_t n_points_supported; @@ -2963,29 +5072,29 @@ void test_ecmult_multi_pippenger_max_points(void) { size_t i; size_t total_alloc; size_t checkpoint; - scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size); + scratch = secp256k1_scratch_create(&CTX->error_callback, scratch_size); CHECK(scratch != NULL); - checkpoint = secp256k1_scratch_checkpoint(&ctx->error_callback, scratch); - n_points_supported = secp256k1_pippenger_max_points(&ctx->error_callback, scratch); + checkpoint = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch); + n_points_supported = secp256k1_pippenger_max_points(&CTX->error_callback, scratch); if (n_points_supported == 0) { - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + secp256k1_scratch_destroy(&CTX->error_callback, scratch); continue; } bucket_window = secp256k1_pippenger_bucket_window(n_points_supported); /* allocate `total_alloc` bytes over `PIPPENGER_SCRATCH_OBJECTS` many allocations */ total_alloc = secp256k1_pippenger_scratch_size(n_points_supported, bucket_window); for (i = 0; i < PIPPENGER_SCRATCH_OBJECTS - 1; i++) { - CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, 1)); + CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 1)); total_alloc--; } - CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, total_alloc)); - secp256k1_scratch_apply_checkpoint(&ctx->error_callback, scratch, checkpoint); - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, total_alloc)); + secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint); + secp256k1_scratch_destroy(&CTX->error_callback, scratch); } CHECK(bucket_window == PIPPENGER_MAX_BUCKET_WINDOW); } -void test_ecmult_multi_batch_size_helper(void) { +static void test_ecmult_multi_batch_size_helper(void) { size_t n_batches, n_batch_points, max_n_batch_points, n; max_n_batch_points = 0; @@ -3033,12 +5142,11 @@ void test_ecmult_multi_batch_size_helper(void) { * Run secp256k1_ecmult_multi_var with num points and a scratch space restricted to * 1 <= i <= num points. */ -void test_ecmult_multi_batching(void) { +static void test_ecmult_multi_batching(void) { static const int n_points = 2*ECMULT_PIPPENGER_THRESHOLD; secp256k1_scalar scG; - secp256k1_scalar szero; - secp256k1_scalar *sc = (secp256k1_scalar *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_scalar) * n_points); - secp256k1_ge *pt = (secp256k1_ge *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_ge) * n_points); + secp256k1_scalar *sc = (secp256k1_scalar *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_scalar) * n_points); + secp256k1_ge *pt = (secp256k1_ge *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_ge) * n_points); secp256k1_gej r; secp256k1_gej r2; ecmult_multi_data data; @@ -3046,160 +5154,109 @@ void test_ecmult_multi_batching(void) { secp256k1_scratch *scratch; secp256k1_gej_set_infinity(&r2); - secp256k1_scalar_set_int(&szero, 0); /* Get random scalars and group elements and compute result */ - random_scalar_order(&scG); - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r2, &szero, &scG); + testutil_random_scalar_order(&scG); + secp256k1_ecmult(&r2, &r2, &secp256k1_scalar_zero, &scG); for(i = 0; i < n_points; i++) { secp256k1_ge ptg; secp256k1_gej ptgj; - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_gej_set_ge(&ptgj, &ptg); pt[i] = ptg; - random_scalar_order(&sc[i]); - secp256k1_ecmult(&ctx->ecmult_ctx, &ptgj, &ptgj, &sc[i], NULL); + testutil_random_scalar_order(&sc[i]); + secp256k1_ecmult(&ptgj, &ptgj, &sc[i], NULL); secp256k1_gej_add_var(&r2, &r2, &ptgj, NULL); } data.sc = sc; data.pt = pt; secp256k1_gej_neg(&r2, &r2); - /* Test with empty scratch space. It should compute the correct result using + /* Test with empty scratch space. It should compute the correct result using * ecmult_mult_simple algorithm which doesn't require a scratch space. */ - scratch = secp256k1_scratch_create(&ctx->error_callback, 0); - CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); + scratch = secp256k1_scratch_create(&CTX->error_callback, 0); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + secp256k1_scratch_destroy(&CTX->error_callback, scratch); /* Test with space for 1 point in pippenger. That's not enough because * ecmult_multi selects strauss which requires more memory. It should * therefore select the simple algorithm. */ - scratch = secp256k1_scratch_create(&ctx->error_callback, secp256k1_pippenger_scratch_size(1, 1) + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT); - CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); + scratch = secp256k1_scratch_create(&CTX->error_callback, secp256k1_pippenger_scratch_size(1, 1) + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + secp256k1_scratch_destroy(&CTX->error_callback, scratch); for(i = 1; i <= n_points; i++) { if (i > ECMULT_PIPPENGER_THRESHOLD) { int bucket_window = secp256k1_pippenger_bucket_window(i); size_t scratch_size = secp256k1_pippenger_scratch_size(i, bucket_window); - scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT); + scratch = secp256k1_scratch_create(&CTX->error_callback, scratch_size + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT); } else { size_t scratch_size = secp256k1_strauss_scratch_size(i); - scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT); + scratch = secp256k1_scratch_create(&CTX->error_callback, scratch_size + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT); } - CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + secp256k1_scratch_destroy(&CTX->error_callback, scratch); } free(sc); free(pt); } -void run_ecmult_multi_tests(void) { +static void run_ecmult_multi_tests(void) { secp256k1_scratch *scratch; + int64_t todo = (int64_t)320 * COUNT; test_secp256k1_pippenger_bucket_window_inv(); test_ecmult_multi_pippenger_max_points(); - scratch = secp256k1_scratch_create(&ctx->error_callback, 819200); + scratch = secp256k1_scratch_create(&CTX->error_callback, 819200); test_ecmult_multi(scratch, secp256k1_ecmult_multi_var); test_ecmult_multi(NULL, secp256k1_ecmult_multi_var); test_ecmult_multi(scratch, secp256k1_ecmult_pippenger_batch_single); test_ecmult_multi_batch_single(secp256k1_ecmult_pippenger_batch_single); test_ecmult_multi(scratch, secp256k1_ecmult_strauss_batch_single); test_ecmult_multi_batch_single(secp256k1_ecmult_strauss_batch_single); - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + while (todo > 0) { + todo -= test_ecmult_multi_random(scratch); + } + secp256k1_scratch_destroy(&CTX->error_callback, scratch); /* Run test_ecmult_multi with space for exactly one point */ - scratch = secp256k1_scratch_create(&ctx->error_callback, secp256k1_strauss_scratch_size(1) + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT); + scratch = secp256k1_scratch_create(&CTX->error_callback, secp256k1_strauss_scratch_size(1) + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT); test_ecmult_multi(scratch, secp256k1_ecmult_multi_var); - secp256k1_scratch_destroy(&ctx->error_callback, scratch); + secp256k1_scratch_destroy(&CTX->error_callback, scratch); test_ecmult_multi_batch_size_helper(); test_ecmult_multi_batching(); } -void test_wnaf(const secp256k1_scalar *number, int w) { +static void test_wnaf(const secp256k1_scalar *number, int w) { secp256k1_scalar x, two, t; int wnaf[256]; int zeroes = -1; - int i; - int bits; - secp256k1_scalar_set_int(&x, 0); - secp256k1_scalar_set_int(&two, 2); - bits = secp256k1_ecmult_wnaf(wnaf, 256, number, w); - CHECK(bits <= 256); - for (i = bits-1; i >= 0; i--) { - int v = wnaf[i]; - secp256k1_scalar_mul(&x, &x, &two); - if (v) { - CHECK(zeroes == -1 || zeroes >= w-1); /* check that distance between non-zero elements is at least w-1 */ - zeroes=0; - CHECK((v & 1) == 1); /* check non-zero elements are odd */ - CHECK(v <= (1 << (w-1)) - 1); /* check range below */ - CHECK(v >= -(1 << (w-1)) - 1); /* check range above */ - } else { - CHECK(zeroes != -1); /* check that no unnecessary zero padding exists */ - zeroes++; - } - if (v >= 0) { - secp256k1_scalar_set_int(&t, v); - } else { - secp256k1_scalar_set_int(&t, -v); - secp256k1_scalar_negate(&t, &t); - } - secp256k1_scalar_add(&x, &x, &t); - } - CHECK(secp256k1_scalar_eq(&x, number)); /* check that wnaf represents number */ -} - -void test_constant_wnaf_negate(const secp256k1_scalar *number) { - secp256k1_scalar neg1 = *number; - secp256k1_scalar neg2 = *number; - int sign1 = 1; - int sign2 = 1; - - if (!secp256k1_scalar_get_bits(&neg1, 0, 1)) { - secp256k1_scalar_negate(&neg1, &neg1); - sign1 = -1; - } - sign2 = secp256k1_scalar_cond_negate(&neg2, secp256k1_scalar_is_even(&neg2)); - CHECK(sign1 == sign2); - CHECK(secp256k1_scalar_eq(&neg1, &neg2)); -} - -void test_constant_wnaf(const secp256k1_scalar *number, int w) { - secp256k1_scalar x, shift; - int wnaf[256] = {0}; - int i; - int skew; - int bits = 256; - secp256k1_scalar num = *number; - - secp256k1_scalar_set_int(&x, 0); - secp256k1_scalar_set_int(&shift, 1 << w); - /* With USE_ENDOMORPHISM on we only consider 128-bit numbers */ -#ifdef USE_ENDOMORPHISM - for (i = 0; i < 16; ++i) { - secp256k1_scalar_shr_int(&num, 8); - } - bits = 128; -#endif - skew = secp256k1_wnaf_const(wnaf, &num, w, bits); - - for (i = WNAF_SIZE_BITS(bits, w); i >= 0; --i) { - secp256k1_scalar t; + int i; + int bits; + secp256k1_scalar_set_int(&x, 0); + secp256k1_scalar_set_int(&two, 2); + bits = secp256k1_ecmult_wnaf(wnaf, 256, number, w); + CHECK(bits <= 256); + for (i = bits-1; i >= 0; i--) { int v = wnaf[i]; - CHECK(v != 0); /* check nonzero */ - CHECK(v & 1); /* check parity */ - CHECK(v > -(1 << w)); /* check range above */ - CHECK(v < (1 << w)); /* check range below */ - - secp256k1_scalar_mul(&x, &x, &shift); + secp256k1_scalar_mul(&x, &x, &two); + if (v) { + CHECK(zeroes == -1 || zeroes >= w-1); /* check that distance between non-zero elements is at least w-1 */ + zeroes=0; + CHECK((v & 1) == 1); /* check non-zero elements are odd */ + CHECK(v <= (1 << (w-1)) - 1); /* check range below */ + CHECK(v >= -(1 << (w-1)) - 1); /* check range above */ + } else { + CHECK(zeroes != -1); /* check that no unnecessary zero padding exists */ + zeroes++; + } if (v >= 0) { secp256k1_scalar_set_int(&t, v); } else { @@ -3208,26 +5265,20 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) { } secp256k1_scalar_add(&x, &x, &t); } - /* Skew num because when encoding numbers as odd we use an offset */ - secp256k1_scalar_cadd_bit(&num, skew == 2, 1); - CHECK(secp256k1_scalar_eq(&x, &num)); + CHECK(secp256k1_scalar_eq(&x, number)); /* check that wnaf represents number */ } -void test_fixed_wnaf(const secp256k1_scalar *number, int w) { +static void test_fixed_wnaf(const secp256k1_scalar *number, int w) { secp256k1_scalar x, shift; int wnaf[256] = {0}; int i; int skew; - secp256k1_scalar num = *number; + secp256k1_scalar num, unused; secp256k1_scalar_set_int(&x, 0); secp256k1_scalar_set_int(&shift, 1 << w); - /* With USE_ENDOMORPHISM on we only consider 128-bit numbers */ -#ifdef USE_ENDOMORPHISM - for (i = 0; i < 16; ++i) { - secp256k1_scalar_shr_int(&num, 8); - } -#endif + /* Make num a 128-bit scalar. */ + secp256k1_scalar_split_128(&num, &unused, number); skew = secp256k1_wnaf_fixed(wnaf, &num, w); for (i = WNAF_SIZE(w)-1; i >= 0; --i) { @@ -3253,7 +5304,7 @@ void test_fixed_wnaf(const secp256k1_scalar *number, int w) { /* Checks that the first 8 elements of wnaf are equal to wnaf_expected and the * rest is 0.*/ -void test_fixed_wnaf_small_helper(int *wnaf, int *wnaf_expected, int w) { +static void test_fixed_wnaf_small_helper(int *wnaf, int *wnaf_expected, int w) { int i; for (i = WNAF_SIZE(w)-1; i >= 8; --i) { CHECK(wnaf[i] == 0); @@ -3263,7 +5314,7 @@ void test_fixed_wnaf_small_helper(int *wnaf, int *wnaf_expected, int w) { } } -void test_fixed_wnaf_small(void) { +static void test_fixed_wnaf_small(void) { int w = 4; int wnaf[256] = {0}; int i; @@ -3317,24 +5368,16 @@ void test_fixed_wnaf_small(void) { } } -void run_wnaf(void) { +static void run_wnaf(void) { int i; - secp256k1_scalar n = {{0}}; - - /* Sanity check: 1 and 2 are the smallest odd and even numbers and should - * have easier-to-diagnose failure modes */ - n.d[0] = 1; - test_constant_wnaf(&n, 4); - n.d[0] = 2; - test_constant_wnaf(&n, 4); - /* Test 0 */ + secp256k1_scalar n; + + /* Test 0 for fixed wnaf */ test_fixed_wnaf_small(); /* Random tests */ - for (i = 0; i < count; i++) { - random_scalar_order(&n); + for (i = 0; i < COUNT; i++) { + testutil_random_scalar_order(&n); test_wnaf(&n, 4+(i%10)); - test_constant_wnaf_negate(&n); - test_constant_wnaf(&n, 4 + (i % 10)); test_fixed_wnaf(&n, 4 + (i % 10)); } secp256k1_scalar_set_int(&n, 0); @@ -3344,96 +5387,243 @@ void run_wnaf(void) { CHECK(secp256k1_scalar_is_zero(&n)); } -void test_ecmult_constants(void) { - /* Test ecmult_gen() for [0..36) and [order-36..0). */ - secp256k1_scalar x; - secp256k1_gej r; - secp256k1_ge ng; - int i; - int j; - secp256k1_ge_neg(&ng, &secp256k1_ge_const_g); - for (i = 0; i < 36; i++ ) { - secp256k1_scalar_set_int(&x, i); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x); - for (j = 0; j < i; j++) { - if (j == i - 1) { - ge_equals_gej(&secp256k1_ge_const_g, &r); - } - secp256k1_gej_add_ge(&r, &r, &ng); - } - CHECK(secp256k1_gej_is_infinity(&r)); +static int test_ecmult_accumulate_cb(secp256k1_scalar* sc, secp256k1_ge* pt, size_t idx, void* data) { + const secp256k1_scalar* indata = (const secp256k1_scalar*)data; + *sc = *indata; + *pt = secp256k1_ge_const_g; + CHECK(idx == 0); + return 1; +} + +static void test_ecmult_accumulate(secp256k1_sha256* acc, const secp256k1_scalar* x, secp256k1_scratch* scratch) { + /* Compute x*G in 6 different ways, serialize it uncompressed, and feed it into acc. */ + secp256k1_gej rj1, rj2, rj3, rj4, rj5, rj6, gj, infj; + secp256k1_ge r; + unsigned char bytes[65]; + size_t size = 65; + secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); + secp256k1_gej_set_infinity(&infj); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &rj1, x); + secp256k1_ecmult(&rj2, &gj, x, &secp256k1_scalar_zero); + secp256k1_ecmult(&rj3, &infj, &secp256k1_scalar_zero, x); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &rj4, x, NULL, NULL, 0)); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &rj5, &secp256k1_scalar_zero, test_ecmult_accumulate_cb, (void*)x, 1)); + secp256k1_ecmult_const(&rj6, &secp256k1_ge_const_g, x); + secp256k1_ge_set_gej_var(&r, &rj1); + CHECK(secp256k1_gej_eq_ge_var(&rj2, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj3, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj4, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj5, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj6, &r)); + if (secp256k1_ge_is_infinity(&r)) { + /* Store infinity as 0x00 */ + const unsigned char zerobyte[1] = {0}; + secp256k1_sha256_write(acc, zerobyte, 1); + } else { + /* Store other points using their uncompressed serialization. */ + secp256k1_eckey_pubkey_serialize(&r, bytes, &size, 0); + CHECK(size == 65); + secp256k1_sha256_write(acc, bytes, size); } - for (i = 1; i <= 36; i++ ) { +} + +static void test_ecmult_constants_2bit(void) { + /* Using test_ecmult_accumulate, test ecmult for: + * - For i in 0..36: + * - Key i + * - Key -i + * - For i in 0..255: + * - For j in 1..255 (only odd values): + * - Key (j*2^i) mod order + */ + secp256k1_scalar x; + secp256k1_sha256 acc; + unsigned char b32[32]; + int i, j; + secp256k1_scratch_space *scratch = secp256k1_scratch_space_create(CTX, 65536); + + /* Expected hash of all the computed points; created with an independent + * implementation. */ + static const unsigned char expected32[32] = { + 0xe4, 0x71, 0x1b, 0x4d, 0x14, 0x1e, 0x68, 0x48, + 0xb7, 0xaf, 0x47, 0x2b, 0x4c, 0xd2, 0x04, 0x14, + 0x3a, 0x75, 0x87, 0x60, 0x1a, 0xf9, 0x63, 0x60, + 0xd0, 0xcb, 0x1f, 0xaa, 0x85, 0x9a, 0xb7, 0xb4 + }; + secp256k1_sha256_initialize(&acc); + for (i = 0; i <= 36; ++i) { secp256k1_scalar_set_int(&x, i); + test_ecmult_accumulate(&acc, &x, scratch); secp256k1_scalar_negate(&x, &x); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x); - for (j = 0; j < i; j++) { - if (j == i - 1) { - ge_equals_gej(&ng, &r); - } - secp256k1_gej_add_ge(&r, &r, &secp256k1_ge_const_g); + test_ecmult_accumulate(&acc, &x, scratch); + }; + for (i = 0; i < 256; ++i) { + for (j = 1; j < 256; j += 2) { + int k; + secp256k1_scalar_set_int(&x, j); + for (k = 0; k < i; ++k) secp256k1_scalar_add(&x, &x, &x); + test_ecmult_accumulate(&acc, &x, scratch); } - CHECK(secp256k1_gej_is_infinity(&r)); } + secp256k1_sha256_finalize(&acc, b32); + CHECK(secp256k1_memcmp_var(b32, expected32, 32) == 0); + + secp256k1_scratch_space_destroy(CTX, scratch); +} + +static void test_ecmult_constants_sha(uint32_t prefix, size_t iter, const unsigned char* expected32) { + /* Using test_ecmult_accumulate, test ecmult for: + * - Key 0 + * - Key 1 + * - Key -1 + * - For i in range(iter): + * - Key SHA256(LE32(prefix) || LE16(i)) + */ + secp256k1_scalar x; + secp256k1_sha256 acc; + unsigned char b32[32]; + unsigned char inp[6]; + size_t i; + secp256k1_scratch_space *scratch = secp256k1_scratch_space_create(CTX, 65536); + + inp[0] = prefix & 0xFF; + inp[1] = (prefix >> 8) & 0xFF; + inp[2] = (prefix >> 16) & 0xFF; + inp[3] = (prefix >> 24) & 0xFF; + secp256k1_sha256_initialize(&acc); + secp256k1_scalar_set_int(&x, 0); + test_ecmult_accumulate(&acc, &x, scratch); + secp256k1_scalar_set_int(&x, 1); + test_ecmult_accumulate(&acc, &x, scratch); + secp256k1_scalar_negate(&x, &x); + test_ecmult_accumulate(&acc, &x, scratch); + + for (i = 0; i < iter; ++i) { + secp256k1_sha256 gen; + inp[4] = i & 0xff; + inp[5] = (i >> 8) & 0xff; + secp256k1_sha256_initialize(&gen); + secp256k1_sha256_write(&gen, inp, sizeof(inp)); + secp256k1_sha256_finalize(&gen, b32); + secp256k1_scalar_set_b32(&x, b32, NULL); + test_ecmult_accumulate(&acc, &x, scratch); + } + secp256k1_sha256_finalize(&acc, b32); + CHECK(secp256k1_memcmp_var(b32, expected32, 32) == 0); + + secp256k1_scratch_space_destroy(CTX, scratch); } -void run_ecmult_constants(void) { - test_ecmult_constants(); +static void run_ecmult_constants(void) { + /* Expected hashes of all points in the tests below. Computed using an + * independent implementation. */ + static const unsigned char expected32_6bit20[32] = { + 0x68, 0xb6, 0xed, 0x6f, 0x28, 0xca, 0xc9, 0x7f, + 0x8e, 0x8b, 0xd6, 0xc0, 0x61, 0x79, 0x34, 0x6e, + 0x5a, 0x8f, 0x2b, 0xbc, 0x3e, 0x1f, 0xc5, 0x2e, + 0x2a, 0xd0, 0x45, 0x67, 0x7f, 0x95, 0x95, 0x8e + }; + static const unsigned char expected32_8bit8[32] = { + 0x8b, 0x65, 0x8e, 0xea, 0x86, 0xae, 0x3c, 0x95, + 0x90, 0xb6, 0x77, 0xa4, 0x8c, 0x76, 0xd9, 0xec, + 0xf5, 0xab, 0x8a, 0x2f, 0xfd, 0xdb, 0x19, 0x12, + 0x1a, 0xee, 0xe6, 0xb7, 0x6e, 0x05, 0x3f, 0xc6 + }; + /* For every combination of 6 bit positions out of 256, restricted to + * 20-bit windows (i.e., the first and last bit position are no more than + * 19 bits apart), all 64 bit patterns occur in the input scalars used in + * this test. */ + CONDITIONAL_TEST(1, "test_ecmult_constants_sha 1024") { + test_ecmult_constants_sha(4808378u, 1024, expected32_6bit20); + } + + /* For every combination of 8 consecutive bit positions, all 256 bit + * patterns occur in the input scalars used in this test. */ + CONDITIONAL_TEST(3, "test_ecmult_constants_sha 2048") { + test_ecmult_constants_sha(1607366309u, 2048, expected32_8bit8); + } + + CONDITIONAL_TEST(16, "test_ecmult_constants_2bit") { + test_ecmult_constants_2bit(); + } } -void test_ecmult_gen_blind(void) { +static void test_ecmult_gen_blind(void) { /* Test ecmult_gen() blinding and confirm that the blinding changes, the affine points match, and the z's don't match. */ secp256k1_scalar key; secp256k1_scalar b; unsigned char seed32[32]; secp256k1_gej pgej; secp256k1_gej pgej2; - secp256k1_gej i; + secp256k1_ge p; secp256k1_ge pge; - random_scalar_order_test(&key); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pgej, &key); - secp256k1_rand256(seed32); - b = ctx->ecmult_gen_ctx.blind; - i = ctx->ecmult_gen_ctx.initial; - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32); - CHECK(!secp256k1_scalar_eq(&b, &ctx->ecmult_gen_ctx.blind)); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pgej2, &key); + testutil_random_scalar_order_test(&key); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pgej, &key); + testrand256(seed32); + b = CTX->ecmult_gen_ctx.scalar_offset; + p = CTX->ecmult_gen_ctx.ge_offset; + secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, seed32); + CHECK(!secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.scalar_offset)); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pgej2, &key); CHECK(!gej_xyz_equals_gej(&pgej, &pgej2)); - CHECK(!gej_xyz_equals_gej(&i, &ctx->ecmult_gen_ctx.initial)); + CHECK(!secp256k1_ge_eq_var(&p, &CTX->ecmult_gen_ctx.ge_offset)); secp256k1_ge_set_gej(&pge, &pgej); - ge_equals_gej(&pge, &pgej2); + CHECK(secp256k1_gej_eq_ge_var(&pgej2, &pge)); } -void test_ecmult_gen_blind_reset(void) { +static void test_ecmult_gen_blind_reset(void) { /* Test ecmult_gen() blinding reset and confirm that the blinding is consistent. */ secp256k1_scalar b; - secp256k1_gej initial; - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, 0); - b = ctx->ecmult_gen_ctx.blind; - initial = ctx->ecmult_gen_ctx.initial; - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, 0); - CHECK(secp256k1_scalar_eq(&b, &ctx->ecmult_gen_ctx.blind)); - CHECK(gej_xyz_equals_gej(&initial, &ctx->ecmult_gen_ctx.initial)); + secp256k1_ge p1, p2; + secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, 0); + b = CTX->ecmult_gen_ctx.scalar_offset; + p1 = CTX->ecmult_gen_ctx.ge_offset; + secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, 0); + CHECK(secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.scalar_offset)); + p2 = CTX->ecmult_gen_ctx.ge_offset; + CHECK(secp256k1_ge_eq_var(&p1, &p2)); } -void run_ecmult_gen_blind(void) { +/* Verify that ecmult_gen for scalars gn for which gn + scalar_offset = {-1,0,1}. */ +static void test_ecmult_gen_edge_cases(void) { + int i; + secp256k1_gej res1, res2, res3; + secp256k1_scalar gn = secp256k1_scalar_one; /* gn = 1 */ + secp256k1_scalar_add(&gn, &gn, &CTX->ecmult_gen_ctx.scalar_offset); /* gn = 1 + scalar_offset */ + secp256k1_scalar_negate(&gn, &gn); /* gn = -1 - scalar_offset */ + + for (i = -1; i < 2; ++i) { + /* Run test with gn = i - scalar_offset (so that the ecmult_gen recoded value represents i). */ + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &res1, &gn); + secp256k1_ecmult(&res2, NULL, &secp256k1_scalar_zero, &gn); + secp256k1_ecmult_const(&res3, &secp256k1_ge_const_g, &gn); + CHECK(secp256k1_gej_eq_var(&res1, &res2)); + CHECK(secp256k1_gej_eq_var(&res1, &res3)); + secp256k1_scalar_add(&gn, &gn, &secp256k1_scalar_one); + } +} + +static void run_ecmult_gen_blind(void) { int i; test_ecmult_gen_blind_reset(); + test_ecmult_gen_edge_cases(); for (i = 0; i < 10; i++) { test_ecmult_gen_blind(); } } -#ifdef USE_ENDOMORPHISM /***** ENDOMORPHISH TESTS *****/ -void test_scalar_split(void) { - secp256k1_scalar full; - secp256k1_scalar s1, slam; +static void test_scalar_split(const secp256k1_scalar* full) { + secp256k1_scalar s, s1, slam; const unsigned char zero[32] = {0}; unsigned char tmp[32]; - random_scalar_order_test(&full); - secp256k1_scalar_split_lambda(&s1, &slam, &full); + secp256k1_scalar_split_lambda(&s1, &slam, full); + + /* check slam*lambda + s1 == full */ + secp256k1_scalar_mul(&s, &secp256k1_const_lambda, &slam); + secp256k1_scalar_add(&s, &s, &s1); + CHECK(secp256k1_scalar_eq(&s, full)); /* check that both are <= 128 bits in size */ if (secp256k1_scalar_is_high(&s1)) { @@ -3444,29 +5634,44 @@ void test_scalar_split(void) { } secp256k1_scalar_get_b32(tmp, &s1); - CHECK(memcmp(zero, tmp, 16) == 0); + CHECK(secp256k1_memcmp_var(zero, tmp, 16) == 0); secp256k1_scalar_get_b32(tmp, &slam); - CHECK(memcmp(zero, tmp, 16) == 0); + CHECK(secp256k1_memcmp_var(zero, tmp, 16) == 0); } -void run_endomorphism_tests(void) { - test_scalar_split(); + +static void run_endomorphism_tests(void) { + unsigned i; + static secp256k1_scalar s; + test_scalar_split(&secp256k1_scalar_zero); + test_scalar_split(&secp256k1_scalar_one); + secp256k1_scalar_negate(&s,&secp256k1_scalar_one); + test_scalar_split(&s); + test_scalar_split(&secp256k1_const_lambda); + secp256k1_scalar_add(&s, &secp256k1_const_lambda, &secp256k1_scalar_one); + test_scalar_split(&s); + + for (i = 0; i < 100U * COUNT; ++i) { + secp256k1_scalar full; + testutil_random_scalar_order_test(&full); + test_scalar_split(&full); + } + for (i = 0; i < sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); ++i) { + test_scalar_split(&scalars_near_split_bounds[i]); + } } -#endif -void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvalid) { +static void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvalid) { unsigned char pubkeyc[65]; secp256k1_pubkey pubkey; secp256k1_ge ge; size_t pubkeyclen; - int32_t ecount; - ecount = 0; - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); + for (pubkeyclen = 3; pubkeyclen <= 65; pubkeyclen++) { /* Smaller sizes are tested exhaustively elsewhere. */ int32_t i; memcpy(&pubkeyc[1], input, 64); - VG_UNDEF(&pubkeyc[pubkeyclen], 65 - pubkeyclen); + SECP256K1_CHECKMEM_UNDEFINE(&pubkeyc[pubkeyclen], 65 - pubkeyclen); for (i = 0; i < 256; i++) { /* Try all type bytes. */ int xpass; @@ -3485,51 +5690,45 @@ void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvali unsigned char pubkeyo[65]; size_t outl; memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - ecount = 0; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); outl = 65; - VG_UNDEF(pubkeyo, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - VG_CHECK(pubkeyo, outl); + SECP256K1_CHECKMEM_UNDEFINE(pubkeyo, 65); + CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyo, &outl, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + SECP256K1_CHECKMEM_CHECK(pubkeyo, outl); CHECK(outl == 33); - CHECK(memcmp(&pubkeyo[1], &pubkeyc[1], 32) == 0); + CHECK(secp256k1_memcmp_var(&pubkeyo[1], &pubkeyc[1], 32) == 0); CHECK((pubkeyclen != 33) || (pubkeyo[0] == pubkeyc[0])); if (ypass) { /* This test isn't always done because we decode with alternative signs, so the y won't match. */ CHECK(pubkeyo[0] == ysign); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1); + CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 1); memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); secp256k1_pubkey_save(&pubkey, &ge); - VG_CHECK(&pubkey, sizeof(pubkey)); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); outl = 65; - VG_UNDEF(pubkeyo, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); - VG_CHECK(pubkeyo, outl); + SECP256K1_CHECKMEM_UNDEFINE(pubkeyo, 65); + CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyo, &outl, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); + SECP256K1_CHECKMEM_CHECK(pubkeyo, outl); CHECK(outl == 65); CHECK(pubkeyo[0] == 4); - CHECK(memcmp(&pubkeyo[1], input, 64) == 0); + CHECK(secp256k1_memcmp_var(&pubkeyo[1], input, 64) == 0); } - CHECK(ecount == 0); } else { /* These cases must fail to parse. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); } } } - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); } -void run_ec_pubkey_parse_test(void) { +static void run_ec_pubkey_parse_test(void) { #define SECP256K1_EC_PARSE_TEST_NVALID (12) const unsigned char valid[SECP256K1_EC_PARSE_TEST_NVALID][64] = { { @@ -3709,142 +5908,99 @@ void run_ec_pubkey_parse_test(void) { 0xB8, 0x00 }; unsigned char sout[65]; - unsigned char shortkey[2]; + unsigned char shortkey[2] = { 0 }; secp256k1_ge ge; secp256k1_pubkey pubkey; size_t len; int32_t i; - int32_t ecount; - int32_t ecount2; - ecount = 0; + /* Nothing should be reading this far into pubkeyc. */ - VG_UNDEF(&pubkeyc[65], 1); - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); + SECP256K1_CHECKMEM_UNDEFINE(&pubkeyc[65], 1); /* Zero length claimed, fail, zeroize, no illegal arg error. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(shortkey, 2); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 0) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + SECP256K1_CHECKMEM_UNDEFINE(shortkey, 2); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 0) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* Length one claimed, fail, zeroize, no illegal arg error. */ for (i = 0; i < 256 ; i++) { memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; shortkey[0] = i; - VG_UNDEF(&shortkey[1], 1); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 1) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + SECP256K1_CHECKMEM_UNDEFINE(&shortkey[1], 1); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 1) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); } /* Length two claimed, fail, zeroize, no illegal arg error. */ for (i = 0; i < 65536 ; i++) { memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; shortkey[0] = i & 255; shortkey[1] = i >> 8; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 2) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 2) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); } memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); /* 33 bytes claimed on otherwise valid input starting with 0x04, fail, zeroize output, no illegal arg error. */ - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 33) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 33) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* NULL pubkey, illegal arg error. Pubkey isn't rewritten before this step, since it's NULL into the parser. */ - CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, pubkeyc, 65) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, NULL, pubkeyc, 65)); /* NULL input string. Illegal arg and zeroize output. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, NULL, 65) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 1); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 2); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, &pubkey, NULL, 65)); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* 64 bytes claimed on input starting with 0x04, fail, zeroize output, no illegal arg error. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 64) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 64) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* 66 bytes claimed, fail, zeroize output, no illegal arg error. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 66) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 66) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* Valid parse. */ memset(&pubkey, 0, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 65) == 1); - CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_no_precomp, &pubkey, pubkeyc, 65) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - VG_UNDEF(&ge, sizeof(ge)); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1); - VG_CHECK(&ge.x, sizeof(ge.x)); - VG_CHECK(&ge.y, sizeof(ge.y)); - VG_CHECK(&ge.infinity, sizeof(ge.infinity)); - ge_equals_ge(&secp256k1_ge_const_g, &ge); - CHECK(ecount == 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 65) == 1); + CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_static, &pubkey, pubkeyc, 65) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + SECP256K1_CHECKMEM_UNDEFINE(&ge, sizeof(ge)); + CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 1); + SECP256K1_CHECKMEM_CHECK(&ge.x, sizeof(ge.x)); + SECP256K1_CHECKMEM_CHECK(&ge.y, sizeof(ge.y)); + SECP256K1_CHECKMEM_CHECK(&ge.infinity, sizeof(ge.infinity)); + CHECK(secp256k1_ge_eq_var(&ge, &secp256k1_ge_const_g)); /* secp256k1_ec_pubkey_serialize illegal args. */ - ecount = 0; len = 65; - CHECK(secp256k1_ec_pubkey_serialize(ctx, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED)); CHECK(len == 0); - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED)); len = 65; - VG_UNDEF(sout, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED) == 0); - VG_CHECK(sout, 65); - CHECK(ecount == 3); + SECP256K1_CHECKMEM_UNDEFINE(sout, 65); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED)); + SECP256K1_CHECKMEM_CHECK(sout, 65); CHECK(len == 0); len = 65; - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, ~0) == 0); - CHECK(ecount == 4); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, ~0)); CHECK(len == 0); len = 65; - VG_UNDEF(sout, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); - VG_CHECK(sout, 65); - CHECK(ecount == 4); + SECP256K1_CHECKMEM_UNDEFINE(sout, 65); + CHECK(secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); + SECP256K1_CHECKMEM_CHECK(sout, 65); CHECK(len == 65); /* Multiple illegal args. Should still set arg error only once. */ - ecount = 0; - ecount2 = 11; - CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0); - CHECK(ecount == 1); - /* Does the illegal arg callback actually change the behavior? */ - secp256k1_context_set_illegal_callback(ctx, uncounting_illegal_callback_fn, &ecount2); - CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0); - CHECK(ecount == 1); - CHECK(ecount2 == 10); - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, NULL, NULL, 65)); /* Try a bunch of prefabbed points with all possible encodings. */ for (i = 0; i < SECP256K1_EC_PARSE_TEST_NVALID; i++) { ec_pubkey_parse_pointtest(valid[i], 1, 1); @@ -3857,7 +6013,7 @@ void run_ec_pubkey_parse_test(void) { } } -void run_eckey_edge_case_test(void) { +static void run_eckey_edge_case_test(void) { const unsigned char orderc[32] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, @@ -3873,259 +6029,284 @@ void run_eckey_edge_case_test(void) { secp256k1_pubkey pubkey_negone; const secp256k1_pubkey *pubkeys[3]; size_t len; - int32_t ecount; /* Group order is too large, reject. */ - CHECK(secp256k1_ec_seckey_verify(ctx, orderc) == 0); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, orderc) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK(secp256k1_ec_seckey_verify(CTX, orderc) == 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, orderc) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* Maximum value is too large, reject. */ memset(ctmp, 255, 32); - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0); memset(&pubkey, 1, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* Zero is too small, reject. */ memset(ctmp, 0, 32); - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0); memset(&pubkey, 1, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* One must be accepted. */ ctmp[31] = 0x01; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1); memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); pubkey_one = pubkey; /* Group order + 1 is too large, reject. */ memcpy(ctmp, orderc, 32); ctmp[31] = 0x42; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0); memset(&pubkey, 1, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* -1 must be accepted. */ ctmp[31] = 0x40; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1); memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); pubkey_negone = pubkey; /* Tweak of zero leaves the value unchanged. */ memset(ctmp2, 0, 32); - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, ctmp2) == 1); - CHECK(memcmp(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40); + CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, ctmp2) == 1); + CHECK(secp256k1_memcmp_var(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40); memcpy(&pubkey2, &pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 1); + CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); /* Multiply tweak of zero zeroizes the output. */ - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, ctmp2) == 0); - CHECK(memcmp(zeros, ctmp, 32) == 0); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, ctmp2) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, ctmp2) == 0); + CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0); + CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, ctmp2) == 0); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0); memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - /* Overflowing key tweak zeroizes. */ + /* If seckey_tweak_add or seckey_tweak_mul are called with an overflowing + seckey, the seckey is zeroized. */ + memcpy(ctmp, orderc, 32); + memset(ctmp2, 0, 32); + ctmp2[31] = 0x01; + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp2) == 1); + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0); + CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, ctmp2) == 0); + CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0); + memcpy(ctmp, orderc, 32); + CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, ctmp2) == 0); + CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0); + /* If seckey_tweak_add or seckey_tweak_mul are called with an overflowing + tweak, the seckey is zeroized. */ memcpy(ctmp, orderc, 32); ctmp[31] = 0x40; - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, orderc) == 0); - CHECK(memcmp(zeros, ctmp, 32) == 0); + CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, orderc) == 0); + CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0); memcpy(ctmp, orderc, 32); ctmp[31] = 0x40; - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, orderc) == 0); - CHECK(memcmp(zeros, ctmp, 32) == 0); + CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, orderc) == 0); + CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0); memcpy(ctmp, orderc, 32); ctmp[31] = 0x40; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, orderc) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + /* If pubkey_tweak_add or pubkey_tweak_mul are called with an overflowing + tweak, the pubkey is zeroized. */ + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, orderc) == 0); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0); memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, orderc) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, orderc) == 0); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0); memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - /* Private key tweaks results in a key of zero. */ + /* If the resulting key in secp256k1_ec_seckey_tweak_add and + * secp256k1_ec_pubkey_tweak_add is 0 the functions fail and in the latter + * case the pubkey is zeroized. */ + memcpy(ctmp, orderc, 32); + ctmp[31] = 0x40; + memset(ctmp2, 0, 32); ctmp2[31] = 1; - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 0); - CHECK(memcmp(zeros, ctmp2, 32) == 0); + CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp2, ctmp) == 0); + CHECK(secp256k1_memcmp_var(zeros, ctmp2, 32) == 0); ctmp2[31] = 1; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 0); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0); memcpy(&pubkey, &pubkey2, sizeof(pubkey)); /* Tweak computation wraps and results in a key of 1. */ ctmp2[31] = 2; - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 1); - CHECK(memcmp(ctmp2, zeros, 31) == 0 && ctmp2[31] == 1); + CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp2, ctmp) == 1); + CHECK(secp256k1_memcmp_var(ctmp2, zeros, 31) == 0 && ctmp2[31] == 1); ctmp2[31] = 2; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 1); ctmp2[31] = 1; - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, ctmp2) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, ctmp2) == 1); + CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); /* Tweak mul * 2 = 1+1. */ - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 1); ctmp2[31] = 2; - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - /* Test argument errors. */ - ecount = 0; - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); - CHECK(ecount == 0); + CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2) == 1); + CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); /* Zeroize pubkey on parse error. */ memset(&pubkey, 0, 32); - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0); memcpy(&pubkey, &pubkey2, sizeof(pubkey)); memset(&pubkey2, 0, 32); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 0); - CHECK(ecount == 2); - CHECK(memcmp(&pubkey2, zeros, sizeof(pubkey2)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2)); + CHECK(secp256k1_memcmp_var(&pubkey2, zeros, sizeof(pubkey2)) == 0); /* Plain argument errors. */ - ecount = 0; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ec_seckey_verify(ctx, NULL) == 0); - CHECK(ecount == 1); - ecount = 0; + CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_verify(CTX, NULL)); memset(ctmp2, 0, 32); ctmp2[31] = 4; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, NULL)); memset(ctmp2, 0, 32); ctmp2[31] = 4; - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, NULL)); memset(ctmp2, 0, 32); - CHECK(secp256k1_ec_privkey_tweak_add(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_add(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_add(CTX, ctmp, NULL)); memset(ctmp2, 0, 32); ctmp2[31] = 1; - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; - CHECK(secp256k1_ec_pubkey_create(ctx, NULL, ctmp) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_mul(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_mul(CTX, ctmp, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, NULL, ctmp)); memset(&pubkey, 1, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 2); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, &pubkey, NULL)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* secp256k1_ec_pubkey_combine tests. */ - ecount = 0; pubkeys[0] = &pubkey_one; - VG_UNDEF(&pubkeys[0], sizeof(secp256k1_pubkey *)); - VG_UNDEF(&pubkeys[1], sizeof(secp256k1_pubkey *)); - VG_UNDEF(&pubkeys[2], sizeof(secp256k1_pubkey *)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[0], sizeof(secp256k1_pubkey *)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[1], sizeof(secp256k1_pubkey *)); + SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[2], sizeof(secp256k1_pubkey *)); memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 0) == 0); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_combine(ctx, NULL, pubkeys, 1) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 2); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 0)); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, NULL, pubkeys, 1)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, NULL, 1) == 0); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 3); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &pubkey, NULL, 1)); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); pubkeys[0] = &pubkey_negone; memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 1) == 1); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 1) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); len = 33; - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1); - CHECK(memcmp(ctmp, ctmp2, 33) == 0); + CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_memcmp_var(ctmp, ctmp2, 33) == 0); /* Result is infinity. */ pubkeys[0] = &pubkey_one; pubkeys[1] = &pubkey_negone; memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 0); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 3); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 2) == 0); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* Passes through infinity but comes out one. */ pubkeys[2] = &pubkey_one; memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 3) == 1); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 3) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); len = 33; - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1); - CHECK(memcmp(ctmp, ctmp2, 33) == 0); + CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_memcmp_var(ctmp, ctmp2, 33) == 0); /* Adds to two. */ pubkeys[1] = &pubkey_one; memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 1); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); + SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 2) == 1); + SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); +} + +static void run_eckey_negate_test(void) { + unsigned char seckey[32]; + unsigned char seckey_tmp[32]; + + testutil_random_scalar_order_b32(seckey); + memcpy(seckey_tmp, seckey, 32); + + /* Verify negation changes the key and changes it back */ + CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1); + CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) != 0); + CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1); + CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0); + + /* Check that privkey alias gives same result */ + CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1); + CHECK(secp256k1_ec_privkey_negate(CTX, seckey_tmp) == 1); + CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0); + + /* Negating all 0s fails */ + memset(seckey, 0, 32); + memset(seckey_tmp, 0, 32); + CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 0); + /* Check that seckey is not modified */ + CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0); + + /* Negating an overflowing seckey fails and the seckey is zeroed. In this + * test, the seckey has 16 random bytes to ensure that ec_seckey_negate + * doesn't just set seckey to a constant value in case of failure. */ + testutil_random_scalar_order_b32(seckey); + memset(seckey, 0xFF, 16); + memset(seckey_tmp, 0, 32); + CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 0); + CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0); } -void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) { +static void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) { secp256k1_scalar nonce; do { - random_scalar_order_test(&nonce); - } while(!secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid)); + testutil_random_scalar_order_test(&nonce); + } while(!secp256k1_ecdsa_sig_sign(&CTX->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid)); } -void test_ecdsa_sign_verify(void) { +static void test_ecdsa_sign_verify(void) { secp256k1_gej pubj; secp256k1_ge pub; secp256k1_scalar one; secp256k1_scalar msg, key; secp256k1_scalar sigr, sigs; - int recid; int getrec; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubj, &key); + int recid; + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); - getrec = secp256k1_rand_bits(1); - random_sign(&sigr, &sigs, &key, &msg, getrec?&recid:NULL); + getrec = testrand_bits(1); + /* The specific way in which this conditional is written sidesteps a potential bug in clang. + See the commit messages of the commit that introduced this comment for details. */ if (getrec) { + random_sign(&sigr, &sigs, &key, &msg, &recid); CHECK(recid >= 0 && recid < 4); + } else { + random_sign(&sigr, &sigs, &key, &msg, NULL); } - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); + CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); secp256k1_scalar_set_int(&one, 1); secp256k1_scalar_add(&msg, &msg, &one); - CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); + CHECK(!secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); } -void run_ecdsa_sign_verify(void) { +static void run_ecdsa_sign_verify(void) { int i; - for (i = 0; i < 10*count; i++) { + for (i = 0; i < 10*COUNT; i++) { test_ecdsa_sign_verify(); } } @@ -4177,12 +6358,12 @@ static int nonce_function_test_retry(unsigned char *nonce32, const unsigned char return nonce_function_rfc6979(nonce32, msg32, key32, algo16, data, counter - 5); } -int is_empty_signature(const secp256k1_ecdsa_signature *sig) { +static int is_empty_signature(const secp256k1_ecdsa_signature *sig) { static const unsigned char res[sizeof(secp256k1_ecdsa_signature)] = {0}; - return memcmp(sig, res, sizeof(secp256k1_ecdsa_signature)) == 0; + return secp256k1_memcmp_var(sig, res, sizeof(secp256k1_ecdsa_signature)) == 0; } -void test_ecdsa_end_to_end(void) { +static void test_ecdsa_end_to_end(void) { unsigned char extra[32] = {0x00}; unsigned char privkey[32]; unsigned char message[32]; @@ -4201,140 +6382,154 @@ void test_ecdsa_end_to_end(void) { /* Generate a random key and message. */ { secp256k1_scalar msg, key; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); secp256k1_scalar_get_b32(privkey, &key); secp256k1_scalar_get_b32(message, &msg); } /* Construct and verify corresponding public key. */ - CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); + CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1); /* Verify exporting and importing public key. */ - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyc, &pubkeyclen, &pubkey, secp256k1_rand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED)); + CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyc, &pubkeyclen, &pubkey, testrand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED)); memset(&pubkey, 0, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 1); /* Verify negation changes the key and changes it back */ memcpy(&pubkey_tmp, &pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_negate(ctx, &pubkey_tmp) == 1); - CHECK(memcmp(&pubkey_tmp, &pubkey, sizeof(pubkey)) != 0); - CHECK(secp256k1_ec_pubkey_negate(ctx, &pubkey_tmp) == 1); - CHECK(memcmp(&pubkey_tmp, &pubkey, sizeof(pubkey)) == 0); + CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey_tmp) == 1); + CHECK(secp256k1_memcmp_var(&pubkey_tmp, &pubkey, sizeof(pubkey)) != 0); + CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey_tmp) == 1); + CHECK(secp256k1_memcmp_var(&pubkey_tmp, &pubkey, sizeof(pubkey)) == 0); /* Verify private key import and export. */ - CHECK(ec_privkey_export_der(ctx, seckey, &seckeylen, privkey, secp256k1_rand_bits(1) == 1)); - CHECK(ec_privkey_import_der(ctx, privkey2, seckey, seckeylen) == 1); - CHECK(memcmp(privkey, privkey2, 32) == 0); + CHECK(ec_privkey_export_der(CTX, seckey, &seckeylen, privkey, testrand_bits(1) == 1)); + CHECK(ec_privkey_import_der(CTX, privkey2, seckey, seckeylen) == 1); + CHECK(secp256k1_memcmp_var(privkey, privkey2, 32) == 0); /* Optionally tweak the keys using addition. */ - if (secp256k1_rand_int(3) == 0) { + if (testrand_int(3) == 0) { int ret1; int ret2; + int ret3; unsigned char rnd[32]; + unsigned char privkey_tmp[32]; secp256k1_pubkey pubkey2; - secp256k1_rand256_test(rnd); - ret1 = secp256k1_ec_privkey_tweak_add(ctx, privkey, rnd); - ret2 = secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, rnd); + testrand256_test(rnd); + memcpy(privkey_tmp, privkey, 32); + ret1 = secp256k1_ec_seckey_tweak_add(CTX, privkey, rnd); + ret2 = secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, rnd); + /* Check that privkey alias gives same result */ + ret3 = secp256k1_ec_privkey_tweak_add(CTX, privkey_tmp, rnd); CHECK(ret1 == ret2); + CHECK(ret2 == ret3); if (ret1 == 0) { return; } - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + CHECK(secp256k1_memcmp_var(privkey, privkey_tmp, 32) == 0); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, privkey) == 1); + CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); } /* Optionally tweak the keys using multiplication. */ - if (secp256k1_rand_int(3) == 0) { + if (testrand_int(3) == 0) { int ret1; int ret2; + int ret3; unsigned char rnd[32]; + unsigned char privkey_tmp[32]; secp256k1_pubkey pubkey2; - secp256k1_rand256_test(rnd); - ret1 = secp256k1_ec_privkey_tweak_mul(ctx, privkey, rnd); - ret2 = secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, rnd); + testrand256_test(rnd); + memcpy(privkey_tmp, privkey, 32); + ret1 = secp256k1_ec_seckey_tweak_mul(CTX, privkey, rnd); + ret2 = secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, rnd); + /* Check that privkey alias gives same result */ + ret3 = secp256k1_ec_privkey_tweak_mul(CTX, privkey_tmp, rnd); CHECK(ret1 == ret2); + CHECK(ret2 == ret3); if (ret1 == 0) { return; } - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + CHECK(secp256k1_memcmp_var(privkey, privkey_tmp, 32) == 0); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, privkey) == 1); + CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); } /* Sign. */ - CHECK(secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &signature[4], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &signature[1], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &signature[0], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &signature[4], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &signature[1], message, privkey, NULL, extra) == 1); extra[31] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, &signature[2], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &signature[2], message, privkey, NULL, extra) == 1); extra[31] = 0; extra[0] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, &signature[3], message, privkey, NULL, extra) == 1); - CHECK(memcmp(&signature[0], &signature[4], sizeof(signature[0])) == 0); - CHECK(memcmp(&signature[0], &signature[1], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[0], &signature[2], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[0], &signature[3], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[1], &signature[2], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[1], &signature[3], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[2], &signature[3], sizeof(signature[0])) != 0); + CHECK(secp256k1_ecdsa_sign(CTX, &signature[3], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_memcmp_var(&signature[0], &signature[4], sizeof(signature[0])) == 0); + CHECK(secp256k1_memcmp_var(&signature[0], &signature[1], sizeof(signature[0])) != 0); + CHECK(secp256k1_memcmp_var(&signature[0], &signature[2], sizeof(signature[0])) != 0); + CHECK(secp256k1_memcmp_var(&signature[0], &signature[3], sizeof(signature[0])) != 0); + CHECK(secp256k1_memcmp_var(&signature[1], &signature[2], sizeof(signature[0])) != 0); + CHECK(secp256k1_memcmp_var(&signature[1], &signature[3], sizeof(signature[0])) != 0); + CHECK(secp256k1_memcmp_var(&signature[2], &signature[3], sizeof(signature[0])) != 0); /* Verify. */ - CHECK(secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[1], message, &pubkey) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[2], message, &pubkey) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[3], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[1], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[2], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[3], message, &pubkey) == 1); /* Test lower-S form, malleate, verify and fail, test again, malleate again */ - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[0])); - secp256k1_ecdsa_signature_load(ctx, &r, &s, &signature[0]); + CHECK(!secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[0])); + secp256k1_ecdsa_signature_load(CTX, &r, &s, &signature[0]); secp256k1_scalar_negate(&s, &s); secp256k1_ecdsa_signature_save(&signature[5], &r, &s); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 0); - CHECK(secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); - CHECK(secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5])); - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5])); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[5], message, &pubkey) == 0); + CHECK(secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[5])); + CHECK(secp256k1_ecdsa_signature_normalize(CTX, &signature[5], &signature[5])); + CHECK(!secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[5])); + CHECK(!secp256k1_ecdsa_signature_normalize(CTX, &signature[5], &signature[5])); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[5], message, &pubkey) == 1); secp256k1_scalar_negate(&s, &s); secp256k1_ecdsa_signature_save(&signature[5], &r, &s); - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1); - CHECK(memcmp(&signature[5], &signature[0], 64) == 0); + CHECK(!secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[5])); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[5], message, &pubkey) == 1); + CHECK(secp256k1_memcmp_var(&signature[5], &signature[0], 64) == 0); /* Serialize/parse DER and verify again */ - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1); + CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, sig, &siglen, &signature[0]) == 1); memset(&signature[0], 0, sizeof(signature[0])); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &signature[0], sig, siglen) == 1); + CHECK(secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 1); /* Serialize/destroy/parse DER and verify again. */ siglen = 74; - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1); - sig[secp256k1_rand_int(siglen)] += 1 + secp256k1_rand_int(255); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 0 || - secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 0); + CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, sig, &siglen, &signature[0]) == 1); + sig[testrand_int(siglen)] += 1 + testrand_int(255); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &signature[0], sig, siglen) == 0 || + secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 0); } -void test_random_pubkeys(void) { +static void test_random_pubkeys(void) { secp256k1_ge elem; secp256k1_ge elem2; unsigned char in[65]; /* Generate some randomly sized pubkeys. */ - size_t len = secp256k1_rand_bits(2) == 0 ? 65 : 33; - if (secp256k1_rand_bits(2) == 0) { - len = secp256k1_rand_bits(6); + size_t len = testrand_bits(2) == 0 ? 65 : 33; + if (testrand_bits(2) == 0) { + len = testrand_bits(6); } if (len == 65) { - in[0] = secp256k1_rand_bits(1) ? 4 : (secp256k1_rand_bits(1) ? 6 : 7); + in[0] = testrand_bits(1) ? 4 : (testrand_bits(1) ? 6 : 7); } else { - in[0] = secp256k1_rand_bits(1) ? 2 : 3; + in[0] = testrand_bits(1) ? 2 : 3; } - if (secp256k1_rand_bits(3) == 0) { - in[0] = secp256k1_rand_bits(8); + if (testrand_bits(3) == 0) { + in[0] = testrand_bits(8); } if (len > 1) { - secp256k1_rand256(&in[1]); + testrand256(&in[1]); } if (len > 33) { - secp256k1_rand256(&in[33]); + testrand256(&in[33]); } if (secp256k1_eckey_pubkey_parse(&elem, in, len)) { unsigned char out[65]; @@ -4345,7 +6540,7 @@ void test_random_pubkeys(void) { /* If the pubkey can be parsed, it should round-trip... */ CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, len == 33)); CHECK(size == len); - CHECK(memcmp(&in[1], &out[1], len-1) == 0); + CHECK(secp256k1_memcmp_var(&in[1], &out[1], len-1) == 0); /* ... except for the type of hybrid inputs. */ if ((in[0] != 6) && (in[0] != 7)) { CHECK(in[0] == out[0]); @@ -4354,9 +6549,9 @@ void test_random_pubkeys(void) { CHECK(secp256k1_eckey_pubkey_serialize(&elem, in, &size, 0)); CHECK(size == 65); CHECK(secp256k1_eckey_pubkey_parse(&elem2, in, size)); - ge_equals_ge(&elem,&elem2); + CHECK(secp256k1_ge_eq_var(&elem2, &elem)); /* Check that the X9.62 hybrid type is checked. */ - in[0] = secp256k1_rand_bits(1) ? 6 : 7; + in[0] = testrand_bits(1) ? 6 : 7; res = secp256k1_eckey_pubkey_parse(&elem2, in, size); if (firstb == 2 || firstb == 3) { if (in[0] == firstb + 4) { @@ -4366,28 +6561,220 @@ void test_random_pubkeys(void) { } } if (res) { - ge_equals_ge(&elem,&elem2); + CHECK(secp256k1_ge_eq_var(&elem, &elem2)); CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, 0)); - CHECK(memcmp(&in[1], &out[1], 64) == 0); + CHECK(secp256k1_memcmp_var(&in[1], &out[1], 64) == 0); + } + } +} + +static void run_pubkey_comparison(void) { + unsigned char pk1_ser[33] = { + 0x02, + 0x58, 0x84, 0xb3, 0xa2, 0x4b, 0x97, 0x37, 0x88, 0x92, 0x38, 0xa6, 0x26, 0x62, 0x52, 0x35, 0x11, + 0xd0, 0x9a, 0xa1, 0x1b, 0x80, 0x0b, 0x5e, 0x93, 0x80, 0x26, 0x11, 0xef, 0x67, 0x4b, 0xd9, 0x23 + }; + const unsigned char pk2_ser[33] = { + 0x02, + 0xde, 0x36, 0x0e, 0x87, 0x59, 0x8f, 0x3c, 0x01, 0x36, 0x2a, 0x2a, 0xb8, 0xc6, 0xf4, 0x5e, 0x4d, + 0xb2, 0xc2, 0xd5, 0x03, 0xa7, 0xf9, 0xf1, 0x4f, 0xa8, 0xfa, 0x95, 0xa8, 0xe9, 0x69, 0x76, 0x1c + }; + secp256k1_pubkey pk1; + secp256k1_pubkey pk2; + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk1, pk1_ser, sizeof(pk1_ser)) == 1); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk2, pk2_ser, sizeof(pk2_ser)) == 1); + + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, NULL, &pk2) < 0)); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, NULL) > 0)); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk2) < 0); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk1) > 0); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk1) == 0); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk2) == 0); + { + secp256k1_pubkey pk_tmp; + memset(&pk_tmp, 0, sizeof(pk_tmp)); /* illegal pubkey */ + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk2) < 0)); + { + int32_t ecount = 0; + secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk_tmp) == 0); + CHECK(ecount == 2); + secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + } + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk_tmp) > 0)); + } + + /* Make pk2 the same as pk1 but with 3 rather than 2. Note that in + * an uncompressed encoding, these would have the opposite ordering */ + pk1_ser[0] = 3; + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk2, pk1_ser, sizeof(pk1_ser)) == 1); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk2) < 0); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk1) > 0); +} + +static void test_sort_helper(secp256k1_pubkey *pk, size_t *pk_order, size_t n_pk) { + size_t i; + const secp256k1_pubkey *pk_test[5]; + + for (i = 0; i < n_pk; i++) { + pk_test[i] = &pk[pk_order[i]]; + } + secp256k1_ec_pubkey_sort(CTX, pk_test, n_pk); + for (i = 0; i < n_pk; i++) { + CHECK(secp256k1_memcmp_var(pk_test[i], &pk[i], sizeof(*pk_test[i])) == 0); + } +} + +static void permute(size_t *arr, size_t n) { + size_t i; + for (i = n - 1; i >= 1; i--) { + size_t tmp, j; + j = testrand_int(i + 1); + tmp = arr[i]; + arr[i] = arr[j]; + arr[j] = tmp; + } +} + +static void test_sort_api(void) { + secp256k1_pubkey pks[2]; + const secp256k1_pubkey *pks_ptr[2]; + + pks_ptr[0] = &pks[0]; + pks_ptr[1] = &pks[1]; + + testutil_random_pubkey_test(&pks[0]); + testutil_random_pubkey_test(&pks[1]); + + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_sort(CTX, NULL, 2)); + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 0) == 1); + /* Test illegal public keys */ + memset(&pks[0], 0, sizeof(pks[0])); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1)); + memset(&pks[1], 0, sizeof(pks[1])); + { + int32_t ecount = 0; + secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount); + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1); + CHECK(ecount == 2); + secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + } +} + +static void test_sort(void) { + secp256k1_pubkey pk[5]; + unsigned char pk_ser[5][33] = { + { 0x02, 0x08 }, + { 0x02, 0x0b }, + { 0x02, 0x0c }, + { 0x03, 0x05 }, + { 0x03, 0x0a }, + }; + int i; + size_t pk_order[5] = { 0, 1, 2, 3, 4 }; + + for (i = 0; i < 5; i++) { + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk[i], pk_ser[i], sizeof(pk_ser[i]))); + } + + permute(pk_order, 1); + test_sort_helper(pk, pk_order, 1); + permute(pk_order, 2); + test_sort_helper(pk, pk_order, 2); + permute(pk_order, 3); + test_sort_helper(pk, pk_order, 3); + for (i = 0; i < COUNT; i++) { + permute(pk_order, 4); + test_sort_helper(pk, pk_order, 4); + } + for (i = 0; i < COUNT; i++) { + permute(pk_order, 5); + test_sort_helper(pk, pk_order, 5); + } + /* Check that sorting also works for random pubkeys */ + for (i = 0; i < COUNT; i++) { + int j; + const secp256k1_pubkey *pk_ptr[5]; + for (j = 0; j < 5; j++) { + testutil_random_pubkey_test(&pk[j]); + pk_ptr[j] = &pk[j]; + } + secp256k1_ec_pubkey_sort(CTX, pk_ptr, 5); + for (j = 1; j < 5; j++) { + CHECK(secp256k1_ec_pubkey_sort_cmp(&pk_ptr[j - 1], &pk_ptr[j], CTX) <= 0); } } } -void run_random_pubkeys(void) { +/* Test vectors from BIP-MuSig2 */ +static void test_sort_vectors(void) { + enum { N_PUBKEYS = 6 }; + unsigned char pk_ser[N_PUBKEYS][33] = { + { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F, + 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09, + 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 }, + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, + 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, + 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, + 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, + 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 }, + { 0x02, 0x35, 0x90, 0xA9, 0x4E, 0x76, 0x8F, 0x8E, 0x18, 0x15, 0xC2, + 0xF2, 0x4B, 0x4D, 0x80, 0xA8, 0xE3, 0x14, 0x93, 0x16, 0xC3, 0x51, + 0x8C, 0xE7, 0xB7, 0xAD, 0x33, 0x83, 0x68, 0xD0, 0x38, 0xCA, 0x66 }, + { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F, + 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09, + 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xFF }, + { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F, + 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09, + 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 } + }; + secp256k1_pubkey pubkeys[N_PUBKEYS]; + secp256k1_pubkey *sorted[N_PUBKEYS]; + const secp256k1_pubkey *pks_ptr[N_PUBKEYS]; + int i; + + sorted[0] = &pubkeys[3]; + sorted[1] = &pubkeys[0]; + sorted[2] = &pubkeys[0]; + sorted[3] = &pubkeys[4]; + sorted[4] = &pubkeys[1]; + sorted[5] = &pubkeys[2]; + + for (i = 0; i < N_PUBKEYS; i++) { + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkeys[i], pk_ser[i], sizeof(pk_ser[i]))); + pks_ptr[i] = &pubkeys[i]; + } + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, N_PUBKEYS) == 1); + for (i = 0; i < N_PUBKEYS; i++) { + CHECK(secp256k1_memcmp_var(pks_ptr[i], sorted[i], sizeof(secp256k1_pubkey)) == 0); + } +} + +static void run_pubkey_sort(void) { + test_sort_api(); + test_sort(); + test_sort_vectors(); +} + + +static void run_random_pubkeys(void) { int i; - for (i = 0; i < 10*count; i++) { + for (i = 0; i < 10*COUNT; i++) { test_random_pubkeys(); } } -void run_ecdsa_end_to_end(void) { +static void run_ecdsa_end_to_end(void) { int i; - for (i = 0; i < 64*count; i++) { + for (i = 0; i < 64*COUNT; i++) { test_ecdsa_end_to_end(); } } -int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) { +static int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) { static const unsigned char zeroes[32] = {0}; int ret = 0; @@ -4404,24 +6791,24 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_ size_t len_der_lax = 2048; int parsed_der_lax = 0, valid_der_lax = 0, roundtrips_der_lax = 0; - parsed_der = secp256k1_ecdsa_signature_parse_der(ctx, &sig_der, sig, siglen); + parsed_der = secp256k1_ecdsa_signature_parse_der(CTX, &sig_der, sig, siglen); if (parsed_der) { - ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der, &sig_der)) << 0; - valid_der = (memcmp(compact_der, zeroes, 32) != 0) && (memcmp(compact_der + 32, zeroes, 32) != 0); + ret |= (!secp256k1_ecdsa_signature_serialize_compact(CTX, compact_der, &sig_der)) << 0; + valid_der = (secp256k1_memcmp_var(compact_der, zeroes, 32) != 0) && (secp256k1_memcmp_var(compact_der + 32, zeroes, 32) != 0); } if (valid_der) { - ret |= (!secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der, &len_der, &sig_der)) << 1; - roundtrips_der = (len_der == siglen) && memcmp(roundtrip_der, sig, siglen) == 0; + ret |= (!secp256k1_ecdsa_signature_serialize_der(CTX, roundtrip_der, &len_der, &sig_der)) << 1; + roundtrips_der = (len_der == siglen) && secp256k1_memcmp_var(roundtrip_der, sig, siglen) == 0; } - parsed_der_lax = ecdsa_signature_parse_der_lax(ctx, &sig_der_lax, sig, siglen); + parsed_der_lax = ecdsa_signature_parse_der_lax(CTX, &sig_der_lax, sig, siglen); if (parsed_der_lax) { - ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der_lax, &sig_der_lax)) << 10; - valid_der_lax = (memcmp(compact_der_lax, zeroes, 32) != 0) && (memcmp(compact_der_lax + 32, zeroes, 32) != 0); + ret |= (!secp256k1_ecdsa_signature_serialize_compact(CTX, compact_der_lax, &sig_der_lax)) << 10; + valid_der_lax = (secp256k1_memcmp_var(compact_der_lax, zeroes, 32) != 0) && (secp256k1_memcmp_var(compact_der_lax + 32, zeroes, 32) != 0); } if (valid_der_lax) { - ret |= (!secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der_lax, &len_der_lax, &sig_der_lax)) << 11; - roundtrips_der_lax = (len_der_lax == siglen) && memcmp(roundtrip_der_lax, sig, siglen) == 0; + ret |= (!secp256k1_ecdsa_signature_serialize_der(CTX, roundtrip_der_lax, &len_der_lax, &sig_der_lax)) << 11; + roundtrips_der_lax = (len_der_lax == siglen) && secp256k1_memcmp_var(roundtrip_der_lax, sig, siglen) == 0; } if (certainly_der) { @@ -4437,7 +6824,7 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_ if (valid_der) { ret |= (!roundtrips_der_lax) << 12; ret |= (len_der != len_der_lax) << 13; - ret |= ((len_der != len_der_lax) || (memcmp(roundtrip_der_lax, roundtrip_der, len_der) != 0)) << 14; + ret |= ((len_der != len_der_lax) || (secp256k1_memcmp_var(roundtrip_der_lax, roundtrip_der, len_der) != 0)) << 14; } ret |= (roundtrips_der != roundtrips_der_lax) << 15; if (parsed_der) { @@ -4461,27 +6848,27 @@ static void assign_big_endian(unsigned char *ptr, size_t ptrlen, uint32_t val) { static void damage_array(unsigned char *sig, size_t *len) { int pos; - int action = secp256k1_rand_bits(3); + int action = testrand_bits(3); if (action < 1 && *len > 3) { /* Delete a byte. */ - pos = secp256k1_rand_int(*len); + pos = testrand_int(*len); memmove(sig + pos, sig + pos + 1, *len - pos - 1); (*len)--; return; } else if (action < 2 && *len < 2048) { /* Insert a byte. */ - pos = secp256k1_rand_int(1 + *len); + pos = testrand_int(1 + *len); memmove(sig + pos + 1, sig + pos, *len - pos); - sig[pos] = secp256k1_rand_bits(8); + sig[pos] = testrand_bits(8); (*len)++; return; } else if (action < 4) { /* Modify a byte. */ - sig[secp256k1_rand_int(*len)] += 1 + secp256k1_rand_int(255); + sig[testrand_int(*len)] += 1 + testrand_int(255); return; } else { /* action < 8 */ /* Modify a bit. */ - sig[secp256k1_rand_int(*len)] ^= 1 << secp256k1_rand_bits(3); + sig[testrand_int(*len)] ^= 1 << testrand_bits(3); return; } } @@ -4494,23 +6881,23 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly int n; *len = 0; - der = secp256k1_rand_bits(2) == 0; + der = testrand_bits(2) == 0; *certainly_der = der; *certainly_not_der = 0; - indet = der ? 0 : secp256k1_rand_int(10) == 0; + indet = der ? 0 : testrand_int(10) == 0; for (n = 0; n < 2; n++) { /* We generate two classes of numbers: nlow==1 "low" ones (up to 32 bytes), nlow==0 "high" ones (32 bytes with 129 top bits set, or larger than 32 bytes) */ - nlow[n] = der ? 1 : (secp256k1_rand_bits(3) != 0); + nlow[n] = der ? 1 : (testrand_bits(3) != 0); /* The length of the number in bytes (the first byte of which will always be nonzero) */ - nlen[n] = nlow[n] ? secp256k1_rand_int(33) : 32 + secp256k1_rand_int(200) * secp256k1_rand_int(8) / 8; + nlen[n] = nlow[n] ? testrand_int(33) : 32 + testrand_int(200) * testrand_bits(3) / 8; CHECK(nlen[n] <= 232); /* The top bit of the number. */ - nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : secp256k1_rand_bits(1)); + nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : testrand_bits(1)); /* The top byte of the number (after the potential hardcoded 16 0xFF characters for "high" 32 bytes numbers) */ - nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + secp256k1_rand_bits(7) : 1 + secp256k1_rand_int(127)); + nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + testrand_bits(7) : 1 + testrand_int(127)); /* The number of zero bytes in front of the number (which is 0 or 1 in case of DER, otherwise we extend up to 300 bytes) */ - nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? secp256k1_rand_int(3) : secp256k1_rand_int(300 - nlen[n]) * secp256k1_rand_int(8) / 8); + nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? testrand_int(3) : testrand_int(300 - nlen[n]) * testrand_bits(3) / 8); if (nzlen[n] > ((nlen[n] == 0 || nhbit[n]) ? 1 : 0)) { *certainly_not_der = 1; } @@ -4519,7 +6906,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly nlenlen[n] = nlen[n] + nzlen[n] < 128 ? 0 : (nlen[n] + nzlen[n] < 256 ? 1 : 2); if (!der) { /* nlenlen[n] max 127 bytes */ - int add = secp256k1_rand_int(127 - nlenlen[n]) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256; + int add = testrand_int(127 - nlenlen[n]) * testrand_bits(4) * testrand_bits(4) / 256; nlenlen[n] += add; if (add != 0) { *certainly_not_der = 1; @@ -4533,7 +6920,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly CHECK(tlen <= 856); /* The length of the garbage inside the tuple. */ - elen = (der || indet) ? 0 : secp256k1_rand_int(980 - tlen) * secp256k1_rand_int(8) / 8; + elen = (der || indet) ? 0 : testrand_int(980 - tlen) * testrand_bits(3) / 8; if (elen != 0) { *certainly_not_der = 1; } @@ -4541,7 +6928,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly CHECK(tlen <= 980); /* The length of the garbage after the end of the tuple. */ - glen = der ? 0 : secp256k1_rand_int(990 - tlen) * secp256k1_rand_int(8) / 8; + glen = der ? 0 : testrand_int(990 - tlen) * testrand_bits(3) / 8; if (glen != 0) { *certainly_not_der = 1; } @@ -4556,7 +6943,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly } else { int tlenlen = tlen < 128 ? 0 : (tlen < 256 ? 1 : 2); if (!der) { - int add = secp256k1_rand_int(127 - tlenlen) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256; + int add = testrand_int(127 - tlenlen) * testrand_bits(4) * testrand_bits(4) / 256; tlenlen += add; if (add != 0) { *certainly_not_der = 1; @@ -4607,13 +6994,13 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly nlen[n]--; } /* Generate remaining random bytes of number */ - secp256k1_rand_bytes_test(sig + *len, nlen[n]); + testrand_bytes_test(sig + *len, nlen[n]); *len += nlen[n]; nlen[n] = 0; } /* Generate random garbage inside tuple. */ - secp256k1_rand_bytes_test(sig + *len, elen); + testrand_bytes_test(sig + *len, elen); *len += elen; /* Generate end-of-contents bytes. */ @@ -4625,16 +7012,16 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly CHECK(tlen + glen <= 1121); /* Generate random garbage outside tuple. */ - secp256k1_rand_bytes_test(sig + *len, glen); + testrand_bytes_test(sig + *len, glen); *len += glen; tlen += glen; CHECK(tlen <= 1121); CHECK(tlen == *len); } -void run_ecdsa_der_parse(void) { +static void run_ecdsa_der_parse(void) { int i,j; - for (i = 0; i < 200 * count; i++) { + for (i = 0; i < 200 * COUNT; i++) { unsigned char buffer[2048]; size_t buflen = 0; int certainly_der = 0; @@ -4664,7 +7051,7 @@ void run_ecdsa_der_parse(void) { } /* Tests several edge cases. */ -void test_ecdsa_edge_cases(void) { +static void test_ecdsa_edge_cases(void) { int t; secp256k1_ecdsa_signature sig; @@ -4678,10 +7065,10 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_negate(&ss, &ss); secp256k1_scalar_inverse(&ss, &ss); secp256k1_scalar_set_int(&sr, 1); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &keyj, &sr); + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &keyj, &sr); secp256k1_ge_set_gej(&key, &keyj); msg = ss; - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); } /* Verify signature with r of zero fails. */ @@ -4700,7 +7087,7 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_int(&msg, 0); secp256k1_scalar_set_int(&sr, 0); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey_mods_zero, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify( &sr, &ss, &key, &msg) == 0); } /* Verify signature with s of zero fails. */ @@ -4719,7 +7106,7 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_int(&msg, 0); secp256k1_scalar_set_int(&sr, 1); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); } /* Verify signature with message 0 passes. */ @@ -4747,14 +7134,14 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_int(&sr, 2); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_set_int(&ss, 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0); } /* Verify signature with message 1 passes. */ @@ -4788,15 +7175,15 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_b32(&sr, csr, NULL); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_set_int(&ss, 2); secp256k1_scalar_inverse_var(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0); } /* Verify signature with message -1 passes. */ @@ -4822,19 +7209,18 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_negate(&msg, &msg); secp256k1_scalar_set_b32(&sr, csr, NULL); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); secp256k1_scalar_set_int(&ss, 3); secp256k1_scalar_inverse_var(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); } /* Signature where s would be zero. */ { secp256k1_pubkey pubkey; size_t siglen; - int32_t ecount; unsigned char signature[72]; static const unsigned char nonce[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, @@ -4860,72 +7246,42 @@ void test_ecdsa_edge_cases(void) { 0xb8, 0x12, 0xe0, 0x0b, 0x81, 0x7a, 0x77, 0x62, 0x65, 0xdf, 0xdd, 0x31, 0xb9, 0x3e, 0x29, 0xa9, }; - ecount = 0; - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 0); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 0); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce) == 0); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce2) == 0); msg[31] = 0xaa; - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign(ctx, NULL, msg, key, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, NULL, key, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, NULL, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, key) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, NULL, msg, &pubkey) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, NULL, &pubkey) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, NULL) == 0); - CHECK(ecount == 6); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 1); - CHECK(ecount == 6); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 7); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, NULL, msg, key, precomputed_nonce_function, nonce2)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, &sig, NULL, key, precomputed_nonce_function, nonce2)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, &sig, msg, NULL, precomputed_nonce_function, nonce2)); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce2) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, key) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, NULL, msg, &pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, NULL, &pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, msg, NULL)); + CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, &pubkey, NULL)); /* That pubkeyload fails via an ARGCHECK is a little odd but makes sense because pubkeys are an opaque data type. */ - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 0); - CHECK(ecount == 8); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey)); siglen = 72; - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, NULL, &siglen, &sig) == 0); - CHECK(ecount == 9); - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, NULL, &sig) == 0); - CHECK(ecount == 10); - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, NULL) == 0); - CHECK(ecount == 11); - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 1); - CHECK(ecount == 11); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, NULL, signature, siglen) == 0); - CHECK(ecount == 12); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, NULL, siglen) == 0); - CHECK(ecount == 13); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, signature, siglen) == 1); - CHECK(ecount == 13); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, NULL, &siglen, &sig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, signature, NULL, &sig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, NULL)); + CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, &sig) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_der(CTX, NULL, signature, siglen)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_der(CTX, &sig, NULL, siglen)); + CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, signature, siglen) == 1); siglen = 10; /* Too little room for a signature does not fail via ARGCHECK. */ - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 0); - CHECK(ecount == 13); - ecount = 0; - CHECK(secp256k1_ecdsa_signature_normalize(ctx, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, NULL, &sig) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, signature, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, signature, &sig) == 1); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, NULL, signature) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, NULL) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 1); - CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, &sig) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_normalize(CTX, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_compact(CTX, NULL, &sig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_compact(CTX, signature, NULL)); + CHECK(secp256k1_ecdsa_signature_serialize_compact(CTX, signature, &sig) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_compact(CTX, NULL, signature)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_compact(CTX, &sig, NULL)); + CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, signature) == 1); memset(signature, 255, 64); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 0); - CHECK(ecount == 5); - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); + CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, signature) == 0); } /* Nonce function corner cases. */ @@ -4942,33 +7298,33 @@ void test_ecdsa_edge_cases(void) { msg[31] = 1; /* High key results in signature failure. */ memset(key, 0xFF, 32); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, NULL, extra) == 0); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, NULL, extra) == 0); CHECK(is_empty_signature(&sig)); /* Zero key results in signature failure. */ memset(key, 0, 32); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, NULL, extra) == 0); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, NULL, extra) == 0); CHECK(is_empty_signature(&sig)); /* Nonce function failure results in signature failure. */ key[31] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, nonce_function_test_fail, extra) == 0); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, nonce_function_test_fail, extra) == 0); CHECK(is_empty_signature(&sig)); /* The retry loop successfully makes its way to the first good value. */ - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, nonce_function_test_retry, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, nonce_function_test_retry, extra) == 1); CHECK(!is_empty_signature(&sig)); - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, nonce_function_rfc6979, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, nonce_function_rfc6979, extra) == 1); CHECK(!is_empty_signature(&sig2)); - CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0); + CHECK(secp256k1_memcmp_var(&sig, &sig2, sizeof(sig)) == 0); /* The default nonce function is deterministic. */ - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, NULL, extra) == 1); CHECK(!is_empty_signature(&sig2)); - CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0); + CHECK(secp256k1_memcmp_var(&sig, &sig2, sizeof(sig)) == 0); /* The default nonce function changes output with different messages. */ for(i = 0; i < 256; i++) { int j; msg[0] = i; - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, NULL, extra) == 1); CHECK(!is_empty_signature(&sig2)); - secp256k1_ecdsa_signature_load(ctx, &sr[i], &ss, &sig2); + secp256k1_ecdsa_signature_load(CTX, &sr[i], &ss, &sig2); for (j = 0; j < i; j++) { CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j])); } @@ -4979,9 +7335,9 @@ void test_ecdsa_edge_cases(void) { for(i = 256; i < 512; i++) { int j; key[0] = i - 256; - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, NULL, extra) == 1); CHECK(!is_empty_signature(&sig2)); - secp256k1_ecdsa_signature_load(ctx, &sr[i], &ss, &sig2); + secp256k1_ecdsa_signature_load(CTX, &sr[i], &ss, &sig2); for (j = 0; j < i; j++) { CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j])); } @@ -4996,24 +7352,24 @@ void test_ecdsa_edge_cases(void) { unsigned char nonce2[32]; unsigned char nonce3[32]; unsigned char nonce4[32]; - VG_UNDEF(nonce,32); - VG_UNDEF(nonce2,32); - VG_UNDEF(nonce3,32); - VG_UNDEF(nonce4,32); + SECP256K1_CHECKMEM_UNDEFINE(nonce,32); + SECP256K1_CHECKMEM_UNDEFINE(nonce2,32); + SECP256K1_CHECKMEM_UNDEFINE(nonce3,32); + SECP256K1_CHECKMEM_UNDEFINE(nonce4,32); CHECK(nonce_function_rfc6979(nonce, zeros, zeros, NULL, NULL, 0) == 1); - VG_CHECK(nonce,32); + SECP256K1_CHECKMEM_CHECK(nonce,32); CHECK(nonce_function_rfc6979(nonce2, zeros, zeros, zeros, NULL, 0) == 1); - VG_CHECK(nonce2,32); + SECP256K1_CHECKMEM_CHECK(nonce2,32); CHECK(nonce_function_rfc6979(nonce3, zeros, zeros, NULL, (void *)zeros, 0) == 1); - VG_CHECK(nonce3,32); + SECP256K1_CHECKMEM_CHECK(nonce3,32); CHECK(nonce_function_rfc6979(nonce4, zeros, zeros, zeros, (void *)zeros, 0) == 1); - VG_CHECK(nonce4,32); - CHECK(memcmp(nonce, nonce2, 32) != 0); - CHECK(memcmp(nonce, nonce3, 32) != 0); - CHECK(memcmp(nonce, nonce4, 32) != 0); - CHECK(memcmp(nonce2, nonce3, 32) != 0); - CHECK(memcmp(nonce2, nonce4, 32) != 0); - CHECK(memcmp(nonce3, nonce4, 32) != 0); + SECP256K1_CHECKMEM_CHECK(nonce4,32); + CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0); + CHECK(secp256k1_memcmp_var(nonce, nonce3, 32) != 0); + CHECK(secp256k1_memcmp_var(nonce, nonce4, 32) != 0); + CHECK(secp256k1_memcmp_var(nonce2, nonce3, 32) != 0); + CHECK(secp256k1_memcmp_var(nonce2, nonce4, 32) != 0); + CHECK(secp256k1_memcmp_var(nonce3, nonce4, 32) != 0); } @@ -5027,118 +7383,390 @@ void test_ecdsa_edge_cases(void) { 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41, }; size_t outlen = 300; - CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 0)); + CHECK(!ec_privkey_export_der(CTX, privkey, &outlen, seckey, 0)); outlen = 300; - CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 1)); + CHECK(!ec_privkey_export_der(CTX, privkey, &outlen, seckey, 1)); } } -void run_ecdsa_edge_cases(void) { +static void run_ecdsa_edge_cases(void) { test_ecdsa_edge_cases(); } +/** Wycheproof tests + +The tests check for known attacks (range checks in (r,s), arithmetic errors, malleability). +*/ +static void test_ecdsa_wycheproof(void) { + #include "wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h" + + int t; + for (t = 0; t < SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS; t++) { + secp256k1_ecdsa_signature signature; + secp256k1_sha256 hasher; + secp256k1_pubkey pubkey; + const unsigned char *msg, *sig, *pk; + unsigned char out[32] = {0}; + int actual_verify = 0; + + memset(&pubkey, 0, sizeof(pubkey)); + pk = &wycheproof_ecdsa_public_keys[testvectors[t].pk_offset]; + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pk, 65) == 1); + + secp256k1_sha256_initialize(&hasher); + msg = &wycheproof_ecdsa_messages[testvectors[t].msg_offset]; + secp256k1_sha256_write(&hasher, msg, testvectors[t].msg_len); + secp256k1_sha256_finalize(&hasher, out); + + sig = &wycheproof_ecdsa_signatures[testvectors[t].sig_offset]; + if (secp256k1_ecdsa_signature_parse_der(CTX, &signature, sig, testvectors[t].sig_len) == 1) { + actual_verify = secp256k1_ecdsa_verify(CTX, (const secp256k1_ecdsa_signature *)&signature, out, &pubkey); + } + CHECK(testvectors[t].expected_verify == actual_verify); + } +} + +/* Tests cases from Wycheproof test suite. */ +static void run_ecdsa_wycheproof(void) { + test_ecdsa_wycheproof(); +} + #ifdef ENABLE_MODULE_ECDH # include "modules/ecdh/tests_impl.h" #endif -#ifdef ENABLE_MODULE_MULTISET -# include "modules/multiset/tests_impl.h" -#endif - #ifdef ENABLE_MODULE_RECOVERY # include "modules/recovery/tests_impl.h" #endif -#ifdef ENABLE_MODULE_SCHNORR -# include "modules/schnorr/tests_impl.h" +#ifdef ENABLE_MODULE_EXTRAKEYS +# include "modules/extrakeys/tests_impl.h" +#endif + +#ifdef ENABLE_MODULE_SCHNORRSIG +# include "modules/schnorrsig/tests_impl.h" +#endif + +#ifdef ENABLE_MODULE_MUSIG +# include "modules/musig/tests_impl.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/tests_impl.h" #endif +static void run_secp256k1_memczero_test(void) { + unsigned char buf1[6] = {1, 2, 3, 4, 5, 6}; + unsigned char buf2[sizeof(buf1)]; + + /* secp256k1_memczero(..., ..., 0) is a noop. */ + memcpy(buf2, buf1, sizeof(buf1)); + secp256k1_memczero(buf1, sizeof(buf1), 0); + CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0); + + /* secp256k1_memczero(..., ..., 1) zeros the buffer. */ + memset(buf2, 0, sizeof(buf2)); + secp256k1_memczero(buf1, sizeof(buf1) , 1); + CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0); +} + + +static void run_secp256k1_is_zero_array_test(void) { + unsigned char buf1[3] = {0, 1}; + unsigned char buf2[3] = {1, 0}; + + CHECK(secp256k1_is_zero_array(buf1, 0) == 1); + CHECK(secp256k1_is_zero_array(buf1, 1) == 1); + CHECK(secp256k1_is_zero_array(buf1, 2) == 0); + CHECK(secp256k1_is_zero_array(buf2, 1) == 0); + CHECK(secp256k1_is_zero_array(buf2, 2) == 0); +} + +static void run_secp256k1_byteorder_tests(void) { + { + const uint32_t x = 0xFF03AB45; + const unsigned char x_be[4] = {0xFF, 0x03, 0xAB, 0x45}; + unsigned char buf[4]; + uint32_t x_; + + secp256k1_write_be32(buf, x); + CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0); + + x_ = secp256k1_read_be32(buf); + CHECK(x == x_); + } + + { + const uint64_t x = 0xCAFE0123BEEF4567; + const unsigned char x_be[8] = {0xCA, 0xFE, 0x01, 0x23, 0xBE, 0xEF, 0x45, 0x67}; + unsigned char buf[8]; + uint64_t x_; + + secp256k1_write_be64(buf, x); + CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0); + + x_ = secp256k1_read_be64(buf); + CHECK(x == x_); + } +} + +static void int_cmov_test(void) { + int r = INT_MAX; + int a = 0; + + secp256k1_int_cmov(&r, &a, 0); + CHECK(r == INT_MAX); + + r = 0; a = INT_MAX; + secp256k1_int_cmov(&r, &a, 1); + CHECK(r == INT_MAX); + + a = 0; + secp256k1_int_cmov(&r, &a, 1); + CHECK(r == 0); + + a = 1; + secp256k1_int_cmov(&r, &a, 1); + CHECK(r == 1); + + r = 1; a = 0; + secp256k1_int_cmov(&r, &a, 0); + CHECK(r == 1); + +} + +static void fe_cmov_test(void) { + static const secp256k1_fe zero = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0); + static const secp256k1_fe one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); + static const secp256k1_fe max = SECP256K1_FE_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL + ); + secp256k1_fe r = max; + secp256k1_fe a = zero; + + secp256k1_fe_cmov(&r, &a, 0); + CHECK(fe_identical(&r, &max)); + + r = zero; a = max; + secp256k1_fe_cmov(&r, &a, 1); + CHECK(fe_identical(&r, &max)); + + a = zero; + secp256k1_fe_cmov(&r, &a, 1); + CHECK(fe_identical(&r, &zero)); + + a = one; + secp256k1_fe_cmov(&r, &a, 1); + CHECK(fe_identical(&r, &one)); + + r = one; a = zero; + secp256k1_fe_cmov(&r, &a, 0); + CHECK(fe_identical(&r, &one)); +} + +static void fe_storage_cmov_test(void) { + static const secp256k1_fe_storage zero = SECP256K1_FE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 0); + static const secp256k1_fe_storage one = SECP256K1_FE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 1); + static const secp256k1_fe_storage max = SECP256K1_FE_STORAGE_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL + ); + secp256k1_fe_storage r = max; + secp256k1_fe_storage a = zero; + + secp256k1_fe_storage_cmov(&r, &a, 0); + CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + + r = zero; a = max; + secp256k1_fe_storage_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + + a = zero; + secp256k1_fe_storage_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &zero, sizeof(r)) == 0); + + a = one; + secp256k1_fe_storage_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); + + r = one; a = zero; + secp256k1_fe_storage_cmov(&r, &a, 0); + CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); +} + +static void scalar_cmov_test(void) { + static const secp256k1_scalar max = SECP256K1_SCALAR_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, + 0xBAAEDCE6UL, 0xAF48A03BUL, 0xBFD25E8CUL, 0xD0364140UL + ); + secp256k1_scalar r = max; + secp256k1_scalar a = secp256k1_scalar_zero; + + secp256k1_scalar_cmov(&r, &a, 0); + CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + + r = secp256k1_scalar_zero; a = max; + secp256k1_scalar_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + + a = secp256k1_scalar_zero; + secp256k1_scalar_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_zero, sizeof(r)) == 0); + + a = secp256k1_scalar_one; + secp256k1_scalar_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_one, sizeof(r)) == 0); + + r = secp256k1_scalar_one; a = secp256k1_scalar_zero; + secp256k1_scalar_cmov(&r, &a, 0); + CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_one, sizeof(r)) == 0); +} + +static void ge_storage_cmov_test(void) { + static const secp256k1_ge_storage zero = SECP256K1_GE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0); + static const secp256k1_ge_storage one = SECP256K1_GE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1); + static const secp256k1_ge_storage max = SECP256K1_GE_STORAGE_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL + ); + secp256k1_ge_storage r = max; + secp256k1_ge_storage a = zero; + + secp256k1_ge_storage_cmov(&r, &a, 0); + CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + + r = zero; a = max; + secp256k1_ge_storage_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + + a = zero; + secp256k1_ge_storage_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &zero, sizeof(r)) == 0); + + a = one; + secp256k1_ge_storage_cmov(&r, &a, 1); + CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); + + r = one; a = zero; + secp256k1_ge_storage_cmov(&r, &a, 0); + CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); +} + +static void run_cmov_tests(void) { + int_cmov_test(); + fe_cmov_test(); + fe_storage_cmov_test(); + scalar_cmov_test(); + ge_storage_cmov_test(); +} + int main(int argc, char **argv) { - unsigned char seed16[16] = {0}; - unsigned char run32[32] = {0}; + /* Disable buffering for stdout to improve reliability of getting + * diagnostic information. Happens right at the start of main because + * setbuf must be used before any other operation on the stream. */ + setbuf(stdout, NULL); + /* Also disable buffering for stderr because it's not guaranteed that it's + * unbuffered on all systems. */ + setbuf(stderr, NULL); + /* find iteration count */ if (argc > 1) { - count = strtol(argv[1], NULL, 0); - } - - /* find random seed */ - if (argc > 2) { - int pos = 0; - const char* ch = argv[2]; - while (pos < 16 && ch[0] != 0 && ch[1] != 0) { - unsigned short sh; - if ((sscanf(ch, "%2hx", &sh)) == 1) { - seed16[pos] = sh; - } else { - break; - } - ch += 2; - pos++; - } + COUNT = strtol(argv[1], NULL, 0); } else { - FILE *frand = fopen("/dev/urandom", "r"); - if ((frand == NULL) || fread(&seed16, 1, sizeof(seed16), frand) != sizeof(seed16)) { - uint64_t t = time(NULL) * (uint64_t)1337; - fprintf(stderr, "WARNING: could not read 16 bytes from /dev/urandom; falling back to insecure PRNG\n"); - seed16[0] ^= t; - seed16[1] ^= t >> 8; - seed16[2] ^= t >> 16; - seed16[3] ^= t >> 24; - seed16[4] ^= t >> 32; - seed16[5] ^= t >> 40; - seed16[6] ^= t >> 48; - seed16[7] ^= t >> 56; - } - if (frand) { - fclose(frand); + const char* env = getenv("SECP256K1_TEST_ITERS"); + if (env && strlen(env) > 0) { + COUNT = strtol(env, NULL, 0); } } - secp256k1_rand_seed(seed16); + if (COUNT <= 0) { + fputs("An iteration count of 0 or less is not allowed.\n", stderr); + return EXIT_FAILURE; + } + printf("test count = %i\n", COUNT); - printf("test count = %i\n", count); - printf("random seed = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", seed16[0], seed16[1], seed16[2], seed16[3], seed16[4], seed16[5], seed16[6], seed16[7], seed16[8], seed16[9], seed16[10], seed16[11], seed16[12], seed16[13], seed16[14], seed16[15]); + /* run test RNG tests (must run before we really initialize the test RNG) */ + run_xoshiro256pp_tests(); - /* initialize */ - run_context_tests(0); - run_context_tests(1); + /* find random seed */ + testrand_init(argc > 2 ? argv[2] : NULL); + + /*** Setup test environment ***/ + + /* Create a global context available to all tests */ + CTX = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + /* Randomize the context only with probability 15/16 + to make sure we test without context randomization from time to time. + TODO Reconsider this when recalibrating the tests. */ + if (testrand_bits(4)) { + unsigned char rand32[32]; + testrand256(rand32); + CHECK(secp256k1_context_randomize(CTX, rand32)); + } + /* Make a writable copy of secp256k1_context_static in order to test the effect of API functions + that write to the context. The API does not support cloning the static context, so we use + memcpy instead. The user is not supposed to copy a context but we should still ensure that + the API functions handle copies of the static context gracefully. */ + STATIC_CTX = malloc(sizeof(*secp256k1_context_static)); + CHECK(STATIC_CTX != NULL); + memcpy(STATIC_CTX, secp256k1_context_static, sizeof(secp256k1_context)); + CHECK(!secp256k1_context_is_proper(STATIC_CTX)); + + /*** Run actual tests ***/ + + /* selftest tests */ + run_selftest_tests(); + + /* context tests */ + run_proper_context_tests(0); run_proper_context_tests(1); + run_static_context_tests(0); run_static_context_tests(1); + run_deprecated_context_flags_test(); + + /* scratch tests */ run_scratch_tests(); - ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - if (secp256k1_rand_bits(1)) { - secp256k1_rand256(run32); - CHECK(secp256k1_context_randomize(ctx, secp256k1_rand_bits(1) ? run32 : NULL)); - } - run_rand_bits(); - run_rand_int(); + /* integer arithmetic tests */ +#ifdef SECP256K1_WIDEMUL_INT128 + run_int128_tests(); +#endif + run_ctz_tests(); + run_modinv_tests(); + run_inverse_tests(); + + /* sorting tests */ + run_hsort_tests(); - run_sha256_tests(); + /* hash tests */ + run_sha256_known_output_tests(); + run_sha256_counter_tests(); run_hmac_sha256_tests(); run_rfc6979_hmac_sha256_tests(); - -#ifndef USE_NUM_NONE - /* num tests */ - run_num_smalltests(); -#endif + run_tagged_sha256_tests(); /* scalar tests */ run_scalar_tests(); /* field tests */ - run_field_inv(); - run_field_inv_var(); - run_field_inv_all_var(); + run_field_half(); run_field_misc(); run_field_convert(); + run_field_be32_overflow(); + run_fe_mul(); run_sqr(); run_sqrt(); /* group tests */ run_ge(); + run_gej(); run_group_decompress(); /* ecmult tests */ + run_ecmult_pre_g(); run_wnaf(); run_point_times_order(); + run_ecmult_near_split_bound(); run_ecmult_chain(); run_ecmult_constants(); run_ecmult_gen_blind(); @@ -5147,9 +7775,7 @@ int main(int argc, char **argv) { run_ec_combine(); /* endomorphism tests */ -#ifdef USE_ENDOMORPHISM run_endomorphism_tests(); -#endif /* EC point parser test */ run_ec_pubkey_parse_test(); @@ -5157,37 +7783,58 @@ int main(int argc, char **argv) { /* EC key edge cases */ run_eckey_edge_case_test(); + /* EC key arithmetic test */ + run_eckey_negate_test(); + #ifdef ENABLE_MODULE_ECDH /* ecdh tests */ run_ecdh_tests(); #endif /* ecdsa tests */ + run_ec_illegal_argument_tests(); + run_pubkey_comparison(); + run_pubkey_sort(); run_random_pubkeys(); run_ecdsa_der_parse(); run_ecdsa_sign_verify(); run_ecdsa_end_to_end(); run_ecdsa_edge_cases(); - -#ifdef ENABLE_MODULE_MULTISET - run_multiset_tests(); -#endif + run_ecdsa_wycheproof(); #ifdef ENABLE_MODULE_RECOVERY /* ECDSA pubkey recovery tests */ run_recovery_tests(); #endif -#ifdef ENABLE_MODULE_SCHNORR - /* Schnorr signature tests */ - run_schnorr_tests(); +#ifdef ENABLE_MODULE_EXTRAKEYS + run_extrakeys_tests(); #endif - secp256k1_rand256(run32); - printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]); +#ifdef ENABLE_MODULE_SCHNORRSIG + run_schnorrsig_tests(); +#endif + +#ifdef ENABLE_MODULE_MUSIG + run_musig_tests(); +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT + run_ellswift_tests(); +#endif + + /* util tests */ + run_secp256k1_memczero_test(); + run_secp256k1_is_zero_array_test(); + run_secp256k1_byteorder_tests(); + + run_cmov_tests(); + + /*** Tear down test environment ***/ + free(STATIC_CTX); + secp256k1_context_destroy(CTX); - /* shutdown */ - secp256k1_context_destroy(ctx); + testrand_finish(); printf("no problems found\n"); return 0; diff --git a/src/secp256k1/src/tests_exhaustive.c b/src/secp256k1/src/tests_exhaustive.c index 8cca1cef..6efa8898 100644 --- a/src/secp256k1/src/tests_exhaustive.c +++ b/src/secp256k1/src/tests_exhaustive.c @@ -1,75 +1,48 @@ /*********************************************************************** - * Copyright (c) 2016 Andrew Poelstra * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif + * Copyright (c) 2016 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #include #include - #include -#undef USE_ECMULT_STATIC_PRECOMPUTATION - #ifndef EXHAUSTIVE_TEST_ORDER /* see group_impl.h for allowable values */ #define EXHAUSTIVE_TEST_ORDER 13 -#define EXHAUSTIVE_TEST_LAMBDA 9 /* cube root of 1 mod 13 */ #endif -#include "include/secp256k1.h" -#include "group.h" -#include "secp256k1.c" -#include "testrand_impl.h" +/* These values of B are all values in [1, 8] that result in a curve with even order. */ +#define EXHAUSTIVE_TEST_CURVE_HAS_EVEN_ORDER (SECP256K1_B == 1 || SECP256K1_B == 6 || SECP256K1_B == 8) -#ifdef ENABLE_MODULE_RECOVERY -#include "src/modules/recovery/main_impl.h" -#include "include/secp256k1_recovery.h" +#ifdef USE_EXTERNAL_DEFAULT_CALLBACKS + #pragma message("Ignoring USE_EXTERNAL_CALLBACKS in exhaustive_tests.") + #undef USE_EXTERNAL_DEFAULT_CALLBACKS #endif +#include "secp256k1.c" -/** stolen from tests.c */ -void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) { - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - CHECK(secp256k1_fe_equal_var(&a->x, &b->x)); - CHECK(secp256k1_fe_equal_var(&a->y, &b->y)); -} +#include "../include/secp256k1.h" +#include "assumptions.h" +#include "group.h" +#include "testrand_impl.h" +#include "ecmult_compute_table_impl.h" +#include "ecmult_gen_compute_table_impl.h" +#include "testutil.h" +#include "util.h" -void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) { - secp256k1_fe z2s; - secp256k1_fe u1, u2, s1, s2; - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */ - secp256k1_fe_sqr(&z2s, &b->z); - secp256k1_fe_mul(&u1, &a->x, &z2s); - u2 = b->x; secp256k1_fe_normalize_weak(&u2); - secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z); - s2 = b->y; secp256k1_fe_normalize_weak(&s2); - CHECK(secp256k1_fe_equal_var(&u1, &u2)); - CHECK(secp256k1_fe_equal_var(&s1, &s2)); -} +static int count = 2; -void random_fe(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_rand256(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); +static uint32_t num_cores = 1; +static uint32_t this_core = 0; + +SECP256K1_INLINE static int skip_section(uint64_t* iter) { + if (num_cores == 1) return 0; + *iter += 0xe7037ed1a0b428dbULL; + return ((((uint32_t)*iter ^ (*iter >> 32)) * num_cores) >> 32) != this_core; } -/** END stolen from tests.c */ -int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg32, +static int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int attempt) { secp256k1_scalar s; @@ -89,94 +62,120 @@ int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned cha return 1; } -#ifdef USE_ENDOMORPHISM -void test_exhaustive_endomorphism(const secp256k1_ge *group, int order) { +static void test_exhaustive_endomorphism(const secp256k1_ge *group) { int i; - for (i = 0; i < order; i++) { + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_ge res; secp256k1_ge_mul_lambda(&res, &group[i]); - ge_equals_ge(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res); + CHECK(secp256k1_ge_eq_var(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res)); } } -#endif -void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *groupj, int order) { +static void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *groupj) { int i, j; + uint64_t iter = 0; /* Sanity-check (and check infinity functions) */ CHECK(secp256k1_ge_is_infinity(&group[0])); CHECK(secp256k1_gej_is_infinity(&groupj[0])); - for (i = 1; i < order; i++) { + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { CHECK(!secp256k1_ge_is_infinity(&group[i])); CHECK(!secp256k1_gej_is_infinity(&groupj[i])); } /* Check all addition formulae */ - for (j = 0; j < order; j++) { + for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) { secp256k1_fe fe_inv; + if (skip_section(&iter)) continue; secp256k1_fe_inv(&fe_inv, &groupj[j].z); - for (i = 0; i < order; i++) { + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_ge zless_gej; secp256k1_gej tmp; /* add_var */ secp256k1_gej_add_var(&tmp, &groupj[i], &groupj[j], NULL); - ge_equals_gej(&group[(i + j) % order], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); /* add_ge */ if (j > 0) { secp256k1_gej_add_ge(&tmp, &groupj[i], &group[j]); - ge_equals_gej(&group[(i + j) % order], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); } /* add_ge_var */ secp256k1_gej_add_ge_var(&tmp, &groupj[i], &group[j], NULL); - ge_equals_gej(&group[(i + j) % order], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); /* add_zinv_var */ zless_gej.infinity = groupj[j].infinity; zless_gej.x = groupj[j].x; zless_gej.y = groupj[j].y; secp256k1_gej_add_zinv_var(&tmp, &groupj[i], &zless_gej, &fe_inv); - ge_equals_gej(&group[(i + j) % order], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); } } /* Check doubling */ - for (i = 0; i < order; i++) { + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_gej tmp; - if (i > 0) { - secp256k1_gej_double_nonzero(&tmp, &groupj[i]); - ge_equals_gej(&group[(2 * i) % order], &tmp); - } + secp256k1_gej_double(&tmp, &groupj[i]); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(2 * i) % EXHAUSTIVE_TEST_ORDER])); secp256k1_gej_double_var(&tmp, &groupj[i], NULL); - ge_equals_gej(&group[(2 * i) % order], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(2 * i) % EXHAUSTIVE_TEST_ORDER])); } /* Check negation */ - for (i = 1; i < order; i++) { + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_ge tmp; secp256k1_gej tmpj; secp256k1_ge_neg(&tmp, &group[i]); - ge_equals_ge(&group[order - i], &tmp); + CHECK(secp256k1_ge_eq_var(&tmp, &group[EXHAUSTIVE_TEST_ORDER - i])); secp256k1_gej_neg(&tmpj, &groupj[i]); - ge_equals_gej(&group[order - i], &tmpj); + CHECK(secp256k1_gej_eq_ge_var(&tmpj, &group[EXHAUSTIVE_TEST_ORDER - i])); } } -void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *group, const secp256k1_gej *groupj, int order) { +static void test_exhaustive_ecmult(const secp256k1_ge *group, const secp256k1_gej *groupj) { int i, j, r_log; - for (r_log = 1; r_log < order; r_log++) { - for (j = 0; j < order; j++) { - for (i = 0; i < order; i++) { + uint64_t iter = 0; + for (r_log = 1; r_log < EXHAUSTIVE_TEST_ORDER; r_log++) { + for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) { + if (skip_section(&iter)) continue; + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_gej tmp; secp256k1_scalar na, ng; secp256k1_scalar_set_int(&na, i); secp256k1_scalar_set_int(&ng, j); - secp256k1_ecmult(&ctx->ecmult_ctx, &tmp, &groupj[r_log], &na, &ng); - ge_equals_gej(&group[(i * r_log + j) % order], &tmp); + secp256k1_ecmult(&tmp, &groupj[r_log], &na, &ng); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER])); + } + } + } - if (i > 0) { - secp256k1_ecmult_const(&tmp, &group[i], &ng, 256); - ge_equals_gej(&group[(i * j) % order], &tmp); - } + for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) { + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { + int ret; + secp256k1_gej tmp; + secp256k1_fe xn, xd, tmpf; + secp256k1_scalar ng; + + if (skip_section(&iter)) continue; + + secp256k1_scalar_set_int(&ng, j); + + /* Test secp256k1_ecmult_const. */ + secp256k1_ecmult_const(&tmp, &group[i], &ng); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * j) % EXHAUSTIVE_TEST_ORDER])); + + if (i != 0 && j != 0) { + /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, and xd=NULL. */ + ret = secp256k1_ecmult_const_xonly(&tmpf, &group[i].x, NULL, &ng, 0); + CHECK(ret); + CHECK(secp256k1_fe_equal(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x)); + + /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, with random xd. */ + testutil_random_fe_non_zero(&xd); + secp256k1_fe_mul(&xn, &xd, &group[i].x); + ret = secp256k1_ecmult_const_xonly(&tmpf, &xn, &xd, &ng, 0); + CHECK(ret); + CHECK(secp256k1_fe_equal(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x)); } } } @@ -194,14 +193,16 @@ static int ecmult_multi_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t return 1; } -void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { +static void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ge *group) { int i, j, k, x, y; + uint64_t iter = 0; secp256k1_scratch *scratch = secp256k1_scratch_create(&ctx->error_callback, 4096); - for (i = 0; i < order; i++) { - for (j = 0; j < order; j++) { - for (k = 0; k < order; k++) { - for (x = 0; x < order; x++) { - for (y = 0; y < order; y++) { + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { + for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) { + for (k = 0; k < EXHAUSTIVE_TEST_ORDER; k++) { + for (x = 0; x < EXHAUSTIVE_TEST_ORDER; x++) { + if (skip_section(&iter)) continue; + for (y = 0; y < EXHAUSTIVE_TEST_ORDER; y++) { secp256k1_gej tmp; secp256k1_scalar g_sc; ecmult_multi_data data; @@ -212,8 +213,8 @@ void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ data.pt[0] = group[x]; data.pt[1] = group[y]; - secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2); - ge_equals_gej(&group[(i * x + j * y + k) % order], &tmp); + secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * x + j * y + k) % EXHAUSTIVE_TEST_ORDER])); } } } @@ -222,22 +223,23 @@ void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ secp256k1_scratch_destroy(&ctx->error_callback, scratch); } -void r_from_k(secp256k1_scalar *r, const secp256k1_ge *group, int k) { +static void r_from_k(secp256k1_scalar *r, const secp256k1_ge *group, int k, int* overflow) { secp256k1_fe x; unsigned char x_bin[32]; k %= EXHAUSTIVE_TEST_ORDER; x = group[k].x; secp256k1_fe_normalize(&x); secp256k1_fe_get_b32(x_bin, &x); - secp256k1_scalar_set_b32(r, x_bin, NULL); + secp256k1_scalar_set_b32(r, x_bin, overflow); } -void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { +static void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *group) { int s, r, msg, key; - for (s = 1; s < order; s++) { - for (r = 1; r < order; r++) { - for (msg = 1; msg < order; msg++) { - for (key = 1; key < order; key++) { + uint64_t iter = 0; + for (s = 1; s < EXHAUSTIVE_TEST_ORDER; s++) { + for (r = 1; r < EXHAUSTIVE_TEST_ORDER; r++) { + for (msg = 1; msg < EXHAUSTIVE_TEST_ORDER; msg++) { + for (key = 1; key < EXHAUSTIVE_TEST_ORDER; key++) { secp256k1_ge nonconst_ge; secp256k1_ecdsa_signature sig; secp256k1_pubkey pk; @@ -246,6 +248,8 @@ void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *gr int k, should_verify; unsigned char msg32[32]; + if (skip_section(&iter)) continue; + secp256k1_scalar_set_int(&s_s, s); secp256k1_scalar_set_int(&r_s, r); secp256k1_scalar_set_int(&msg_s, msg); @@ -255,9 +259,9 @@ void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *gr /* Run through every k value that gives us this r and check that *one* works. * Note there could be none, there could be multiple, ECDSA is weird. */ should_verify = 0; - for (k = 0; k < order; k++) { + for (k = 0; k < EXHAUSTIVE_TEST_ORDER; k++) { secp256k1_scalar check_x_s; - r_from_k(&check_x_s, group, k); + r_from_k(&check_x_s, group, k, NULL); if (r_s == check_x_s) { secp256k1_scalar_set_int(&s_times_k_s, k); secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s); @@ -282,14 +286,17 @@ void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *gr } } -void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { +static void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *group) { int i, j, k; + uint64_t iter = 0; /* Loop */ - for (i = 1; i < order; i++) { /* message */ - for (j = 1; j < order; j++) { /* key */ - for (k = 1; k < order; k++) { /* nonce */ + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { /* message */ + for (j = 1; j < EXHAUSTIVE_TEST_ORDER; j++) { /* key */ + if (skip_section(&iter)) continue; + for (k = 1; k < EXHAUSTIVE_TEST_ORDER; k++) { /* nonce */ const int starting_k = k; + int ret; secp256k1_ecdsa_signature sig; secp256k1_scalar sk, msg, r, s, expected_r; unsigned char sk32[32], msg32[32]; @@ -298,16 +305,17 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou secp256k1_scalar_get_b32(sk32, &sk); secp256k1_scalar_get_b32(msg32, &msg); - secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k); + ret = secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k); + CHECK(ret == 1); secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig); /* Note that we compute expected_r *after* signing -- this is important * because our nonce-computing function function might change k during * signing. */ - r_from_k(&expected_r, group, k); + r_from_k(&expected_r, group, k, NULL); CHECK(r == expected_r); - CHECK((k * s) % order == (i + r * j) % order || - (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order); + CHECK((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER || + (k * (EXHAUSTIVE_TEST_ORDER - s)) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER); /* Overflow means we've tried every possible nonce */ if (k < starting_k) { @@ -328,184 +336,131 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou } #ifdef ENABLE_MODULE_RECOVERY -void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { - int i, j, k; - - /* Loop */ - for (i = 1; i < order; i++) { /* message */ - for (j = 1; j < order; j++) { /* key */ - for (k = 1; k < order; k++) { /* nonce */ - const int starting_k = k; - secp256k1_fe r_dot_y_normalized; - secp256k1_ecdsa_recoverable_signature rsig; - secp256k1_ecdsa_signature sig; - secp256k1_scalar sk, msg, r, s, expected_r; - unsigned char sk32[32], msg32[32]; - int expected_recid; - int recid; - secp256k1_scalar_set_int(&msg, i); - secp256k1_scalar_set_int(&sk, j); - secp256k1_scalar_get_b32(sk32, &sk); - secp256k1_scalar_get_b32(msg32, &msg); +#include "modules/recovery/tests_exhaustive_impl.h" +#endif - secp256k1_ecdsa_sign_recoverable(ctx, &rsig, msg32, sk32, secp256k1_nonce_function_smallint, &k); +#ifdef ENABLE_MODULE_EXTRAKEYS +#include "modules/extrakeys/tests_exhaustive_impl.h" +#endif - /* Check directly */ - secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, &rsig); - r_from_k(&expected_r, group, k); - CHECK(r == expected_r); - CHECK((k * s) % order == (i + r * j) % order || - (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order); - /* In computing the recid, there is an overflow condition that is disabled in - * scalar_low_impl.h `secp256k1_scalar_set_b32` because almost every r.y value - * will exceed the group order, and our signing code always holds out for r - * values that don't overflow, so with a proper overflow check the tests would - * loop indefinitely. */ - r_dot_y_normalized = group[k].y; - secp256k1_fe_normalize(&r_dot_y_normalized); - /* Also the recovery id is flipped depending if we hit the low-s branch */ - if ((k * s) % order == (i + r * j) % order) { - expected_recid = secp256k1_fe_is_odd(&r_dot_y_normalized) ? 1 : 0; - } else { - expected_recid = secp256k1_fe_is_odd(&r_dot_y_normalized) ? 0 : 1; - } - CHECK(recid == expected_recid); +#ifdef ENABLE_MODULE_SCHNORRSIG +#include "modules/schnorrsig/tests_exhaustive_impl.h" +#endif - /* Convert to a standard sig then check */ - secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig); - secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig); - /* Note that we compute expected_r *after* signing -- this is important - * because our nonce-computing function function might change k during - * signing. */ - r_from_k(&expected_r, group, k); - CHECK(r == expected_r); - CHECK((k * s) % order == (i + r * j) % order || - (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order); +#ifdef ENABLE_MODULE_ELLSWIFT +#include "modules/ellswift/tests_exhaustive_impl.h" +#endif - /* Overflow means we've tried every possible nonce */ - if (k < starting_k) { - break; - } - } +int main(int argc, char** argv) { + int i; + secp256k1_gej groupj[EXHAUSTIVE_TEST_ORDER]; + secp256k1_ge group[EXHAUSTIVE_TEST_ORDER]; + unsigned char rand32[32]; + secp256k1_context *ctx; + + /* Disable buffering for stdout to improve reliability of getting + * diagnostic information. Happens right at the start of main because + * setbuf must be used before any other operation on the stream. */ + setbuf(stdout, NULL); + /* Also disable buffering for stderr because it's not guaranteed that it's + * unbuffered on all systems. */ + setbuf(stderr, NULL); + + printf("Exhaustive tests for order %lu\n", (unsigned long)EXHAUSTIVE_TEST_ORDER); + + /* find iteration count */ + if (argc > 1) { + count = strtol(argv[1], NULL, 0); + } + printf("test count = %i\n", count); + + /* find random seed */ + testrand_init(argc > 2 ? argv[2] : NULL); + + /* set up split processing */ + if (argc > 4) { + num_cores = strtol(argv[3], NULL, 0); + this_core = strtol(argv[4], NULL, 0); + if (num_cores < 1 || this_core >= num_cores) { + fprintf(stderr, "Usage: %s [count] [seed] [numcores] [thiscore]\n", argv[0]); + return 1; } + printf("running tests for core %lu (out of [0..%lu])\n", (unsigned long)this_core, (unsigned long)num_cores - 1); } -} -void test_exhaustive_recovery_verify(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { - /* This is essentially a copy of test_exhaustive_verify, with recovery added */ - int s, r, msg, key; - for (s = 1; s < order; s++) { - for (r = 1; r < order; r++) { - for (msg = 1; msg < order; msg++) { - for (key = 1; key < order; key++) { - secp256k1_ge nonconst_ge; - secp256k1_ecdsa_recoverable_signature rsig; - secp256k1_ecdsa_signature sig; - secp256k1_pubkey pk; - secp256k1_scalar sk_s, msg_s, r_s, s_s; - secp256k1_scalar s_times_k_s, msg_plus_r_times_sk_s; - int recid = 0; - int k, should_verify; - unsigned char msg32[32]; + /* Recreate the ecmult{,_gen} tables using the right generator (as selected via EXHAUSTIVE_TEST_ORDER) */ + secp256k1_ecmult_gen_compute_table(&secp256k1_ecmult_gen_prec_table[0][0], &secp256k1_ge_const_g, COMB_BLOCKS, COMB_TEETH, COMB_SPACING); + secp256k1_ecmult_compute_two_tables(secp256k1_pre_g, secp256k1_pre_g_128, WINDOW_G, &secp256k1_ge_const_g); + + while (count--) { + /* Build context */ + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + testrand256(rand32); + CHECK(secp256k1_context_randomize(ctx, rand32)); + + /* Generate the entire group */ + secp256k1_gej_set_infinity(&groupj[0]); + secp256k1_ge_set_gej(&group[0], &groupj[0]); + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { + secp256k1_gej_add_ge(&groupj[i], &groupj[i - 1], &secp256k1_ge_const_g); + secp256k1_ge_set_gej(&group[i], &groupj[i]); + if (count != 0) { + /* Set a different random z-value for each Jacobian point, except z=1 + is used in the last iteration. */ + secp256k1_fe z; + testutil_random_fe(&z); + secp256k1_gej_rescale(&groupj[i], &z); + } - secp256k1_scalar_set_int(&s_s, s); - secp256k1_scalar_set_int(&r_s, r); - secp256k1_scalar_set_int(&msg_s, msg); - secp256k1_scalar_set_int(&sk_s, key); - secp256k1_scalar_get_b32(msg32, &msg_s); + /* Verify against ecmult_gen */ + { + secp256k1_scalar scalar_i; + secp256k1_gej generatedj; + secp256k1_ge generated; - /* Verify by hand */ - /* Run through every k value that gives us this r and check that *one* works. - * Note there could be none, there could be multiple, ECDSA is weird. */ - should_verify = 0; - for (k = 0; k < order; k++) { - secp256k1_scalar check_x_s; - r_from_k(&check_x_s, group, k); - if (r_s == check_x_s) { - secp256k1_scalar_set_int(&s_times_k_s, k); - secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s); - secp256k1_scalar_mul(&msg_plus_r_times_sk_s, &r_s, &sk_s); - secp256k1_scalar_add(&msg_plus_r_times_sk_s, &msg_plus_r_times_sk_s, &msg_s); - should_verify |= secp256k1_scalar_eq(&s_times_k_s, &msg_plus_r_times_sk_s); - } - } - /* nb we have a "high s" rule */ - should_verify &= !secp256k1_scalar_is_high(&s_s); + secp256k1_scalar_set_int(&scalar_i, i); + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &generatedj, &scalar_i); + secp256k1_ge_set_gej(&generated, &generatedj); - /* We would like to try recovering the pubkey and checking that it matches, - * but pubkey recovery is impossible in the exhaustive tests (the reason - * being that there are 12 nonzero r values, 12 nonzero points, and no - * overlap between the sets, so there are no valid signatures). */ - - /* Verify by converting to a standard signature and calling verify */ - secp256k1_ecdsa_recoverable_signature_save(&rsig, &r_s, &s_s, recid); - secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig); - memcpy(&nonconst_ge, &group[sk_s], sizeof(nonconst_ge)); - secp256k1_pubkey_save(&pk, &nonconst_ge); - CHECK(should_verify == - secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk)); - } + CHECK(group[i].infinity == 0); + CHECK(generated.infinity == 0); + CHECK(secp256k1_fe_equal(&generated.x, &group[i].x)); + CHECK(secp256k1_fe_equal(&generated.y, &group[i].y)); } } - } -} -#endif -int main(void) { - int i; - secp256k1_gej groupj[EXHAUSTIVE_TEST_ORDER]; - secp256k1_ge group[EXHAUSTIVE_TEST_ORDER]; - - /* Build context */ - secp256k1_context *ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + /* Run the tests */ + test_exhaustive_endomorphism(group); + test_exhaustive_addition(group, groupj); + test_exhaustive_ecmult(group, groupj); + test_exhaustive_ecmult_multi(ctx, group); + test_exhaustive_sign(ctx, group); + test_exhaustive_verify(ctx, group); - /* TODO set z = 1, then do num_tests runs with random z values */ +#ifdef ENABLE_MODULE_RECOVERY + test_exhaustive_recovery(ctx, group); +#endif +#ifdef ENABLE_MODULE_EXTRAKEYS + test_exhaustive_extrakeys(ctx, group); +#endif +#ifdef ENABLE_MODULE_SCHNORRSIG + test_exhaustive_schnorrsig(ctx); +#endif +#ifdef ENABLE_MODULE_ELLSWIFT + /* The ellswift algorithm does have additional edge cases when operating on + * curves of even order, which are not included in the code as secp256k1 is + * of odd order. Skip the ellswift tests if the used exhaustive tests curve + * is even-ordered accordingly. */ + #if !EXHAUSTIVE_TEST_CURVE_HAS_EVEN_ORDER + test_exhaustive_ellswift(ctx, group); + #endif +#endif - /* Generate the entire group */ - secp256k1_gej_set_infinity(&groupj[0]); - secp256k1_ge_set_gej(&group[0], &groupj[0]); - for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { - /* Set a different random z-value for each Jacobian point */ - secp256k1_fe z; - random_fe(&z); - - secp256k1_gej_add_ge(&groupj[i], &groupj[i - 1], &secp256k1_ge_const_g); - secp256k1_ge_set_gej(&group[i], &groupj[i]); - secp256k1_gej_rescale(&groupj[i], &z); - - /* Verify against ecmult_gen */ - { - secp256k1_scalar scalar_i; - secp256k1_gej generatedj; - secp256k1_ge generated; - - secp256k1_scalar_set_int(&scalar_i, i); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &generatedj, &scalar_i); - secp256k1_ge_set_gej(&generated, &generatedj); - - CHECK(group[i].infinity == 0); - CHECK(generated.infinity == 0); - CHECK(secp256k1_fe_equal_var(&generated.x, &group[i].x)); - CHECK(secp256k1_fe_equal_var(&generated.y, &group[i].y)); - } + secp256k1_context_destroy(ctx); } - /* Run the tests */ -#ifdef USE_ENDOMORPHISM - test_exhaustive_endomorphism(group, EXHAUSTIVE_TEST_ORDER); -#endif - test_exhaustive_addition(group, groupj, EXHAUSTIVE_TEST_ORDER); - test_exhaustive_ecmult(ctx, group, groupj, EXHAUSTIVE_TEST_ORDER); - test_exhaustive_ecmult_multi(ctx, group, EXHAUSTIVE_TEST_ORDER); - test_exhaustive_sign(ctx, group, EXHAUSTIVE_TEST_ORDER); - test_exhaustive_verify(ctx, group, EXHAUSTIVE_TEST_ORDER); + testrand_finish(); -#ifdef ENABLE_MODULE_RECOVERY - test_exhaustive_recovery_sign(ctx, group, EXHAUSTIVE_TEST_ORDER); - test_exhaustive_recovery_verify(ctx, group, EXHAUSTIVE_TEST_ORDER); -#endif - - secp256k1_context_destroy(ctx); + printf("no problems found\n"); return 0; } - diff --git a/src/secp256k1/src/testutil.h b/src/secp256k1/src/testutil.h new file mode 100644 index 00000000..64b3bb41 --- /dev/null +++ b/src/secp256k1/src/testutil.h @@ -0,0 +1,148 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_TESTUTIL_H +#define SECP256K1_TESTUTIL_H + +#include "field.h" +#include "group.h" +#include "testrand.h" +#include "util.h" + +static void testutil_random_fe(secp256k1_fe *x) { + unsigned char bin[32]; + do { + testrand256(bin); + if (secp256k1_fe_set_b32_limit(x, bin)) { + return; + } + } while(1); +} + +static void testutil_random_fe_non_zero(secp256k1_fe *nz) { + do { + testutil_random_fe(nz); + } while (secp256k1_fe_is_zero(nz)); +} + +static void testutil_random_fe_magnitude(secp256k1_fe *fe, int m) { + secp256k1_fe zero; + int n = testrand_int(m + 1); + secp256k1_fe_normalize(fe); + if (n == 0) { + return; + } + secp256k1_fe_set_int(&zero, 0); + secp256k1_fe_negate(&zero, &zero, 0); + secp256k1_fe_mul_int_unchecked(&zero, n - 1); + secp256k1_fe_add(fe, &zero); +#ifdef VERIFY + CHECK(fe->magnitude == n); +#endif +} + +static void testutil_random_fe_test(secp256k1_fe *x) { + unsigned char bin[32]; + do { + testrand256_test(bin); + if (secp256k1_fe_set_b32_limit(x, bin)) { + return; + } + } while(1); +} + +static void testutil_random_fe_non_zero_test(secp256k1_fe *fe) { + do { + testutil_random_fe_test(fe); + } while(secp256k1_fe_is_zero(fe)); +} + +static void testutil_random_ge_x_magnitude(secp256k1_ge *ge) { + testutil_random_fe_magnitude(&ge->x, SECP256K1_GE_X_MAGNITUDE_MAX); +} + +static void testutil_random_ge_y_magnitude(secp256k1_ge *ge) { + testutil_random_fe_magnitude(&ge->y, SECP256K1_GE_Y_MAGNITUDE_MAX); +} + +static void testutil_random_gej_x_magnitude(secp256k1_gej *gej) { + testutil_random_fe_magnitude(&gej->x, SECP256K1_GEJ_X_MAGNITUDE_MAX); +} + +static void testutil_random_gej_y_magnitude(secp256k1_gej *gej) { + testutil_random_fe_magnitude(&gej->y, SECP256K1_GEJ_Y_MAGNITUDE_MAX); +} + +static void testutil_random_gej_z_magnitude(secp256k1_gej *gej) { + testutil_random_fe_magnitude(&gej->z, SECP256K1_GEJ_Z_MAGNITUDE_MAX); +} + +static void testutil_random_ge_test(secp256k1_ge *ge) { + secp256k1_fe fe; + do { + testutil_random_fe_test(&fe); + if (secp256k1_ge_set_xo_var(ge, &fe, testrand_bits(1))) { + secp256k1_fe_normalize(&ge->y); + break; + } + } while(1); + ge->infinity = 0; +} + +static void testutil_random_ge_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) { + secp256k1_fe z2, z3; + testutil_random_fe_non_zero_test(&gej->z); + secp256k1_fe_sqr(&z2, &gej->z); + secp256k1_fe_mul(&z3, &z2, &gej->z); + secp256k1_fe_mul(&gej->x, &ge->x, &z2); + secp256k1_fe_mul(&gej->y, &ge->y, &z3); + gej->infinity = ge->infinity; +} + +static void testutil_random_gej_test(secp256k1_gej *gej) { + secp256k1_ge ge; + testutil_random_ge_test(&ge); + testutil_random_ge_jacobian_test(gej, &ge); +} + +static void testutil_random_pubkey_test(secp256k1_pubkey *pk) { + secp256k1_ge ge; + testutil_random_ge_test(&ge); + secp256k1_pubkey_save(pk, &ge); +} + +static void testutil_random_scalar_order_test(secp256k1_scalar *num) { + do { + unsigned char b32[32]; + int overflow = 0; + testrand256_test(b32); + secp256k1_scalar_set_b32(num, b32, &overflow); + if (overflow || secp256k1_scalar_is_zero(num)) { + continue; + } + break; + } while(1); +} + +static void testutil_random_scalar_order(secp256k1_scalar *num) { + do { + unsigned char b32[32]; + int overflow = 0; + testrand256(b32); + secp256k1_scalar_set_b32(num, b32, &overflow); + if (overflow || secp256k1_scalar_is_zero(num)) { + continue; + } + break; + } while(1); +} + +static void testutil_random_scalar_order_b32(unsigned char *b32) { + secp256k1_scalar num; + testutil_random_scalar_order(&num); + secp256k1_scalar_get_b32(b32, &num); +} + +#endif /* SECP256K1_TESTUTIL_H */ diff --git a/src/secp256k1/src/util.h b/src/secp256k1/src/util.h index d5fa39c0..88a41494 100644 --- a/src/secp256k1/src/util.h +++ b/src/secp256k1/src/util.h @@ -1,20 +1,88 @@ -/********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ #ifndef SECP256K1_UTIL_H #define SECP256K1_UTIL_H -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif +#include "../include/secp256k1.h" +#include "checkmem.h" +#include #include #include #include #include +#if defined(_MSC_VER) +/* For SecureZeroMemory */ +#include +#endif + +#define STR_(x) #x +#define STR(x) STR_(x) +#define DEBUG_CONFIG_MSG(x) "DEBUG_CONFIG: " x +#define DEBUG_CONFIG_DEF(x) DEBUG_CONFIG_MSG(#x "=" STR(x)) + +/* Debug helper for printing arrays of unsigned char. */ +#define PRINT_BUF(buf, len) do { \ + printf("%s[%lu] = ", #buf, (unsigned long)len); \ + print_buf_plain(buf, len); \ +} while(0) + +static void print_buf_plain(const unsigned char *buf, size_t len) { + size_t i; + printf("{"); + for (i = 0; i < len; i++) { + if (i % 8 == 0) { + printf("\n "); + } else { + printf(" "); + } + printf("0x%02X,", buf[i]); + } + printf("\n}\n"); +} + +# if (!defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L) ) +# if SECP256K1_GNUC_PREREQ(2,7) +# define SECP256K1_INLINE __inline__ +# elif (defined(_MSC_VER)) +# define SECP256K1_INLINE __inline +# else +# define SECP256K1_INLINE +# endif +# else +# define SECP256K1_INLINE inline +# endif + +/** Assert statically that expr is true. + * + * This is a statement-like macro and can only be used inside functions. + */ +#define STATIC_ASSERT(expr) do { \ + switch(0) { \ + case 0: \ + /* If expr evaluates to 0, we have two case labels "0", which is illegal. */ \ + case /* ERROR: static assertion failed */ (expr): \ + ; \ + } \ +} while(0) + +/** Assert statically that expr is an integer constant expression, and run stmt. + * + * Useful for example to enforce that magnitude arguments are constant. + */ +#define ASSERT_INT_CONST_AND_DO(expr, stmt) do { \ + switch(42) { \ + /* C allows only integer constant expressions as case labels. */ \ + case /* ERROR: integer argument is not constant */ (expr): \ + break; \ + default: ; \ + } \ + stmt; \ +} while(0) typedef struct { void (*fn)(const char *text, void* data); @@ -25,6 +93,33 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback * cb->fn(text, (void*)cb->data); } +#ifndef USE_EXTERNAL_DEFAULT_CALLBACKS +static void secp256k1_default_illegal_callback_fn(const char* str, void* data) { + (void)data; + fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str); + abort(); +} +static void secp256k1_default_error_callback_fn(const char* str, void* data) { + (void)data; + fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str); + abort(); +} +#else +void secp256k1_default_illegal_callback_fn(const char* str, void* data); +void secp256k1_default_error_callback_fn(const char* str, void* data); +#endif + +static const secp256k1_callback default_illegal_callback = { + secp256k1_default_illegal_callback_fn, + NULL +}; + +static const secp256k1_callback default_error_callback = { + secp256k1_default_error_callback_fn, + NULL +}; + + #ifdef DETERMINISTIC #define TEST_FAILURE(msg) do { \ fprintf(stderr, "%s\n", msg); \ @@ -57,16 +152,11 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback * } while(0) #endif -/* Like assert(), but when VERIFY is defined, and side-effect safe. */ -#if defined(COVERAGE) -#define VERIFY_CHECK(check) -#define VERIFY_SETUP(stmt) -#elif defined(VERIFY) +/* Like assert(), but when VERIFY is defined. */ +#if defined(VERIFY) #define VERIFY_CHECK CHECK -#define VERIFY_SETUP(stmt) do { stmt; } while(0) #else -#define VERIFY_CHECK(cond) do { (void)(cond); } while(0) -#define VERIFY_SETUP(stmt) +#define VERIFY_CHECK(cond) #endif static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_t size) { @@ -77,14 +167,6 @@ static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_ return ret; } -static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void *ptr, size_t size) { - void *ret = realloc(ptr, size); - if (ret == NULL) { - secp256k1_callback_call(cb, "Out of memory"); - } - return ret; -} - #if defined(__BIGGEST_ALIGNMENT__) #define ALIGNMENT __BIGGEST_ALIGNMENT__ #else @@ -94,37 +176,10 @@ static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void #define ALIGNMENT 16 #endif -#define ROUND_TO_ALIGN(size) (((size + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT) +/* ceil(x/y) for integers x > 0 and y > 0. Here, / denotes rational division. */ +#define CEIL_DIV(x, y) (1 + ((x) - 1) / (y)) -/* Assume there is a contiguous memory object with bounds [base, base + max_size) - * of which the memory range [base, *prealloc_ptr) is already allocated for usage, - * where *prealloc_ptr is an aligned pointer. In that setting, this functions - * reserves the subobject [*prealloc_ptr, *prealloc_ptr + alloc_size) of - * alloc_size bytes by increasing *prealloc_ptr accordingly, taking into account - * alignment requirements. - * - * The function returns an aligned pointer to the newly allocated subobject. - * - * This is useful for manual memory management: if we're simply given a block - * [base, base + max_size), the caller can use this function to allocate memory - * in this block and keep track of the current allocation state with *prealloc_ptr. - * - * It is VERIFY_CHECKed that there is enough space left in the memory object and - * *prealloc_ptr is aligned relative to base. - */ -static SECP256K1_INLINE void *manual_alloc(void** prealloc_ptr, size_t alloc_size, void* base, size_t max_size) { - size_t aligned_alloc_size = ROUND_TO_ALIGN(alloc_size); - void* ret; - VERIFY_CHECK(prealloc_ptr != NULL); - VERIFY_CHECK(*prealloc_ptr != NULL); - VERIFY_CHECK(base != NULL); - VERIFY_CHECK((unsigned char*)*prealloc_ptr >= (unsigned char*)base); - VERIFY_CHECK(((unsigned char*)*prealloc_ptr - (unsigned char*)base) % ALIGNMENT == 0); - VERIFY_CHECK((unsigned char*)*prealloc_ptr - (unsigned char*)base + aligned_alloc_size <= max_size); - ret = *prealloc_ptr; - *((unsigned char**)prealloc_ptr) += aligned_alloc_size; - return ret; -} +#define ROUND_TO_ALIGN(size) (CEIL_DIV(size, ALIGNMENT) * ALIGNMENT) /* Macro for restrict, when available and not in a VERIFY build. */ #if defined(SECP256K1_BUILD) && defined(VERIFY) @@ -143,21 +198,254 @@ static SECP256K1_INLINE void *manual_alloc(void** prealloc_ptr, size_t alloc_siz # endif #endif -#if defined(_WIN32) -# define I64FORMAT "I64d" -# define I64uFORMAT "I64u" +#if defined(__GNUC__) +# define SECP256K1_GNUC_EXT __extension__ #else -# define I64FORMAT "lld" -# define I64uFORMAT "llu" +# define SECP256K1_GNUC_EXT #endif -#if defined(HAVE___INT128) -# if defined(__GNUC__) -# define SECP256K1_GNUC_EXT __extension__ -# else -# define SECP256K1_GNUC_EXT -# endif -SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t; +/* Zero memory if flag == 1. Flag must be 0 or 1. Constant time. */ +static SECP256K1_INLINE void secp256k1_memczero(void *s, size_t len, int flag) { + unsigned char *p = (unsigned char *)s; + /* Access flag with a volatile-qualified lvalue. + This prevents clang from figuring out (after inlining) that flag can + take only be 0 or 1, which leads to variable time code. */ + volatile int vflag = flag; + unsigned char mask = -(unsigned char) vflag; + while (len) { + *p &= ~mask; + p++; + len--; + } +} + +/* Cleanses memory to prevent leaking sensitive info. Won't be optimized out. */ +static SECP256K1_INLINE void secp256k1_memclear(void *ptr, size_t len) { +#if defined(_MSC_VER) + /* SecureZeroMemory is guaranteed not to be optimized out by MSVC. */ + SecureZeroMemory(ptr, len); +#elif defined(__GNUC__) + /* We use a memory barrier that scares the compiler away from optimizing out the memset. + * + * Quoting Adam Langley in commit ad1907fe73334d6c696c8539646c21b11178f20f + * in BoringSSL (ISC License): + * As best as we can tell, this is sufficient to break any optimisations that + * might try to eliminate "superfluous" memsets. + * This method is used in memzero_explicit() the Linux kernel, too. Its advantage is that it + * is pretty efficient, because the compiler can still implement the memset() efficently, + * just not remove it entirely. See "Dead Store Elimination (Still) Considered Harmful" by + * Yang et al. (USENIX Security 2017) for more background. + */ + memset(ptr, 0, len); + __asm__ __volatile__("" : : "r"(ptr) : "memory"); +#else + void *(*volatile const volatile_memset)(void *, int, size_t) = memset; + volatile_memset(ptr, 0, len); +#endif +#ifdef VERIFY + SECP256K1_CHECKMEM_UNDEFINE(ptr, len); #endif +} + +/** Semantics like memcmp. Variable-time. + * + * We use this to avoid possible compiler bugs with memcmp, e.g. + * https://gcc.gnu.org/bugzilla/show_bug.cgi?id=95189 + */ +static SECP256K1_INLINE int secp256k1_memcmp_var(const void *s1, const void *s2, size_t n) { + const unsigned char *p1 = s1, *p2 = s2; + size_t i; + + for (i = 0; i < n; i++) { + int diff = p1[i] - p2[i]; + if (diff != 0) { + return diff; + } + } + return 0; +} + +/* Return 1 if all elements of array s are 0 and otherwise return 0. + * Constant-time. */ +static SECP256K1_INLINE int secp256k1_is_zero_array(const unsigned char *s, size_t len) { + unsigned char acc = 0; + int ret; + size_t i; + + for (i = 0; i < len; i++) { + acc |= s[i]; + } + ret = (acc == 0); + /* acc may contain secret values. Try to explicitly clear it. */ + secp256k1_memclear(&acc, sizeof(acc)); + return ret; +} + +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized and non-negative.*/ +static SECP256K1_INLINE void secp256k1_int_cmov(int *r, const int *a, int flag) { + unsigned int mask0, mask1, r_masked, a_masked; + /* Access flag with a volatile-qualified lvalue. + This prevents clang from figuring out (after inlining) that flag can + take only be 0 or 1, which leads to variable time code. */ + volatile int vflag = flag; + + /* Casting a negative int to unsigned and back to int is implementation defined behavior */ + VERIFY_CHECK(*r >= 0 && *a >= 0); + + mask0 = (unsigned int)vflag + ~0u; + mask1 = ~mask0; + r_masked = ((unsigned int)*r & mask0); + a_masked = ((unsigned int)*a & mask1); + + *r = (int)(r_masked | a_masked); +} + +#if defined(USE_FORCE_WIDEMUL_INT128_STRUCT) +/* If USE_FORCE_WIDEMUL_INT128_STRUCT is set, use int128_struct. */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_STRUCT 1 +#elif defined(USE_FORCE_WIDEMUL_INT128) +/* If USE_FORCE_WIDEMUL_INT128 is set, use int128. */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_NATIVE 1 +#elif defined(USE_FORCE_WIDEMUL_INT64) +/* If USE_FORCE_WIDEMUL_INT64 is set, use int64. */ +# define SECP256K1_WIDEMUL_INT64 1 +#elif defined(UINT128_MAX) || defined(__SIZEOF_INT128__) +/* If a native 128-bit integer type exists, use int128. */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_NATIVE 1 +#elif defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64)) +/* On 64-bit MSVC targets (x86_64 and arm64), use int128_struct + * (which has special logic to implement using intrinsics on those systems). */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_STRUCT 1 +#elif SIZE_MAX > 0xffffffff +/* Systems with 64-bit pointers (and thus registers) very likely benefit from + * using 64-bit based arithmetic (even if we need to fall back to 32x32->64 based + * multiplication logic). */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_STRUCT 1 +#else +/* Lastly, fall back to int64 based arithmetic. */ +# define SECP256K1_WIDEMUL_INT64 1 +#endif + +#ifndef __has_builtin +#define __has_builtin(x) 0 +#endif + +/* Determine the number of trailing zero bits in a (non-zero) 32-bit x. + * This function is only intended to be used as fallback for + * secp256k1_ctz32_var, but permits it to be tested separately. */ +static SECP256K1_INLINE int secp256k1_ctz32_var_debruijn(uint32_t x) { + static const uint8_t debruijn[32] = { + 0x00, 0x01, 0x02, 0x18, 0x03, 0x13, 0x06, 0x19, 0x16, 0x04, 0x14, 0x0A, + 0x10, 0x07, 0x0C, 0x1A, 0x1F, 0x17, 0x12, 0x05, 0x15, 0x09, 0x0F, 0x0B, + 0x1E, 0x11, 0x08, 0x0E, 0x1D, 0x0D, 0x1C, 0x1B + }; + return debruijn[(uint32_t)((x & -x) * 0x04D7651FU) >> 27]; +} + +/* Determine the number of trailing zero bits in a (non-zero) 64-bit x. + * This function is only intended to be used as fallback for + * secp256k1_ctz64_var, but permits it to be tested separately. */ +static SECP256K1_INLINE int secp256k1_ctz64_var_debruijn(uint64_t x) { + static const uint8_t debruijn[64] = { + 0, 1, 2, 53, 3, 7, 54, 27, 4, 38, 41, 8, 34, 55, 48, 28, + 62, 5, 39, 46, 44, 42, 22, 9, 24, 35, 59, 56, 49, 18, 29, 11, + 63, 52, 6, 26, 37, 40, 33, 47, 61, 45, 43, 21, 23, 58, 17, 10, + 51, 25, 36, 32, 60, 20, 57, 16, 50, 31, 19, 15, 30, 14, 13, 12 + }; + return debruijn[(uint64_t)((x & -x) * 0x022FDD63CC95386DU) >> 58]; +} + +/* Determine the number of trailing zero bits in a (non-zero) 32-bit x. */ +static SECP256K1_INLINE int secp256k1_ctz32_var(uint32_t x) { + VERIFY_CHECK(x != 0); +#if (__has_builtin(__builtin_ctz) || SECP256K1_GNUC_PREREQ(3,4)) + /* If the unsigned type is sufficient to represent the largest uint32_t, consider __builtin_ctz. */ + if (((unsigned)UINT32_MAX) == UINT32_MAX) { + return __builtin_ctz(x); + } +#endif +#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4)) + /* Otherwise consider __builtin_ctzl (the unsigned long type is always at least 32 bits). */ + return __builtin_ctzl(x); +#else + /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */ + return secp256k1_ctz32_var_debruijn(x); +#endif +} + +/* Determine the number of trailing zero bits in a (non-zero) 64-bit x. */ +static SECP256K1_INLINE int secp256k1_ctz64_var(uint64_t x) { + VERIFY_CHECK(x != 0); +#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4)) + /* If the unsigned long type is sufficient to represent the largest uint64_t, consider __builtin_ctzl. */ + if (((unsigned long)UINT64_MAX) == UINT64_MAX) { + return __builtin_ctzl(x); + } +#endif +#if (__has_builtin(__builtin_ctzll) || SECP256K1_GNUC_PREREQ(3,4)) + /* Otherwise consider __builtin_ctzll (the unsigned long long type is always at least 64 bits). */ + return __builtin_ctzll(x); +#else + /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */ + return secp256k1_ctz64_var_debruijn(x); +#endif +} + +/* Read a uint32_t in big endian */ +SECP256K1_INLINE static uint32_t secp256k1_read_be32(const unsigned char* p) { + return (uint32_t)p[0] << 24 | + (uint32_t)p[1] << 16 | + (uint32_t)p[2] << 8 | + (uint32_t)p[3]; +} + +/* Write a uint32_t in big endian */ +SECP256K1_INLINE static void secp256k1_write_be32(unsigned char* p, uint32_t x) { + p[3] = x; + p[2] = x >> 8; + p[1] = x >> 16; + p[0] = x >> 24; +} + +/* Read a uint64_t in big endian */ +SECP256K1_INLINE static uint64_t secp256k1_read_be64(const unsigned char* p) { + return (uint64_t)p[0] << 56 | + (uint64_t)p[1] << 48 | + (uint64_t)p[2] << 40 | + (uint64_t)p[3] << 32 | + (uint64_t)p[4] << 24 | + (uint64_t)p[5] << 16 | + (uint64_t)p[6] << 8 | + (uint64_t)p[7]; +} + +/* Write a uint64_t in big endian */ +SECP256K1_INLINE static void secp256k1_write_be64(unsigned char* p, uint64_t x) { + p[7] = x; + p[6] = x >> 8; + p[5] = x >> 16; + p[4] = x >> 24; + p[3] = x >> 32; + p[2] = x >> 40; + p[1] = x >> 48; + p[0] = x >> 56; +} + +/* Rotate a uint32_t to the right. */ +SECP256K1_INLINE static uint32_t secp256k1_rotr32(const uint32_t x, const unsigned int by) { +#if defined(_MSC_VER) + return _rotr(x, by); /* needs */ +#else + /* Reduce rotation amount to avoid UB when shifting. */ + const unsigned int mask = CHAR_BIT * sizeof(x) - 1; + /* Turned into a rot instruction by GCC and clang. */ + return (x >> (by & mask)) | (x << ((-by) & mask)); +#endif +} #endif /* SECP256K1_UTIL_H */ diff --git a/src/secp256k1/src/wycheproof/WYCHEPROOF_COPYING b/src/secp256k1/src/wycheproof/WYCHEPROOF_COPYING new file mode 100644 index 00000000..cddf9d91 --- /dev/null +++ b/src/secp256k1/src/wycheproof/WYCHEPROOF_COPYING @@ -0,0 +1,212 @@ +* The file `ecdsa_secp256k1_sha256_bitcoin_test.json` in this directory + comes from Google's project Wycheproof with git commit + `b063b4aedae951c69df014cd25fa6d69ae9e8cb9`, see + https://github.com/google/wycheproof/blob/b063b4aedae951c69df014cd25fa6d69ae9e8cb9/testvectors_v1/ecdsa_secp256k1_sha256_bitcoin_test.json + +* The file `ecdsa_secp256k1_sha256_bitcoin_test.h` is generated from + `ecdsa_secp256k1_sha256_bitcoin_test.json` using the script + `tests_wycheproof_generate.py`. + +------------------------------------------------------------------------------- + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h b/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h new file mode 100644 index 00000000..736737fd --- /dev/null +++ b/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h @@ -0,0 +1,1564 @@ +/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */ +#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS (463) + +typedef struct { + size_t pk_offset; + size_t msg_offset; + size_t msg_len; + size_t sig_offset; + size_t sig_len; + int expected_verify; +} wycheproof_ecdsa_testvector; + +static const unsigned char wycheproof_ecdsa_messages[] = { 0x31,0x32,0x33,0x34,0x30,0x30, + 0x32,0x35,0x35,0x38,0x35, + 0x34,0x32,0x36,0x34,0x37,0x39,0x37,0x32,0x34, + 0x37,0x31,0x33,0x38,0x36,0x38,0x34,0x38,0x39,0x31, + 0x31,0x30,0x33,0x35,0x39,0x33,0x33,0x31,0x36,0x36,0x38, + 0x33,0x39,0x34,0x39,0x34,0x30,0x31,0x32,0x31,0x35, + 0x31,0x33,0x34,0x34,0x32,0x39,0x33,0x30,0x37,0x39, + 0x33,0x37,0x30,0x36,0x32,0x31,0x31,0x37,0x31,0x32, + 0x33,0x34,0x33,0x36,0x38,0x38,0x37,0x31,0x32, + 0x31,0x33,0x35,0x31,0x35,0x33,0x30,0x33,0x37,0x30, + 0x36,0x35,0x35,0x33,0x32,0x30,0x33,0x31,0x32,0x36, + 0x31,0x35,0x36,0x34,0x33,0x34,0x36,0x36,0x30,0x33, + 0x34,0x34,0x32,0x39,0x35,0x33,0x39,0x31,0x31,0x37, + 0x31,0x30,0x39,0x35,0x33,0x32,0x36,0x31,0x33,0x35,0x31, + 0x35,0x39,0x38,0x37,0x33,0x35,0x30,0x30,0x34,0x31, + 0x33,0x34,0x36,0x33,0x30,0x30,0x36,0x38,0x37,0x38, + 0x39,0x38,0x31,0x37,0x33,0x32,0x30,0x32,0x38,0x37, + 0x33,0x32,0x32,0x32,0x30,0x34,0x31,0x30,0x34,0x36, + 0x36,0x36,0x36,0x36,0x33,0x30,0x37,0x31,0x30,0x34, + 0x31,0x30,0x33,0x35,0x39,0x35,0x31,0x38,0x39,0x38, + 0x31,0x38,0x34,0x36,0x35,0x39,0x37,0x31,0x39,0x35, + 0x33,0x31,0x33,0x36,0x30,0x34,0x36,0x31,0x38,0x39, + 0x32,0x36,0x36,0x33,0x37,0x38,0x34,0x32,0x35,0x34, + 0x31,0x36,0x35,0x32,0x31,0x30,0x30,0x35,0x32,0x34, + 0x35,0x37,0x34,0x38,0x30,0x38,0x31,0x36,0x39,0x36, + 0x36,0x33,0x34,0x33,0x39,0x31,0x33,0x34,0x36,0x38, + 0x31,0x35,0x34,0x31,0x31,0x30,0x33,0x35,0x39,0x38, + 0x31,0x30,0x34,0x37,0x38,0x35,0x38,0x30,0x31,0x32,0x38, + 0x31,0x30,0x35,0x33,0x36,0x32,0x38,0x35,0x35,0x36,0x38, + 0x39,0x35,0x33,0x39,0x30,0x34,0x31,0x30,0x35, + 0x39,0x37,0x38,0x38,0x34,0x38,0x30,0x33,0x39, + 0x33,0x36,0x31,0x30,0x36,0x37,0x32,0x34,0x34,0x32, + 0x31,0x30,0x35,0x34,0x32,0x34,0x30,0x37,0x30,0x35, + 0x35,0x31,0x37,0x34,0x34,0x34,0x38,0x31,0x39,0x37, + 0x31,0x39,0x36,0x37,0x35,0x36,0x31,0x32,0x35,0x31, + 0x33,0x34,0x34,0x37,0x32,0x35,0x33,0x33,0x34,0x33, + 0x33,0x36,0x38,0x32,0x36,0x34,0x33,0x31,0x38, + 0x33,0x32,0x36,0x31,0x31,0x39,0x38,0x36,0x30,0x38, + 0x39,0x36,0x37,0x38,0x37,0x38,0x31,0x30,0x39,0x34, + 0x34,0x39,0x35,0x38,0x38,0x32,0x33,0x38,0x32,0x33, + 0x38,0x32,0x34,0x36,0x33,0x37,0x38,0x33,0x37, + 0x31,0x31,0x30,0x32,0x30,0x38,0x33,0x33,0x37,0x37,0x36, + 0x31,0x33,0x33,0x38,0x37,0x31,0x36,0x34,0x38, + 0x33,0x32,0x32,0x31,0x34,0x34,0x31,0x36,0x32, + 0x31,0x30,0x36,0x38,0x36,0x36,0x35,0x35,0x35,0x34,0x36, + 0x36,0x32,0x31,0x35,0x35,0x32,0x34,0x36, + 0x37,0x30,0x33,0x30,0x38,0x31,0x38,0x37,0x37,0x34, + 0x35,0x39,0x32,0x34,0x35,0x32,0x33,0x37,0x34,0x34, + 0x31,0x34,0x39,0x35,0x35,0x38,0x36,0x36,0x32,0x31, + 0x34,0x30,0x30,0x35,0x33,0x31,0x34,0x34,0x30,0x36, + 0x33,0x30,0x39,0x36,0x34,0x35,0x37,0x35,0x31,0x32, + 0x32,0x37,0x38,0x34,0x30,0x32,0x35,0x36,0x32,0x30, + 0x32,0x36,0x31,0x38,0x37,0x38,0x37,0x34,0x31,0x38, + 0x31,0x36,0x34,0x32,0x36,0x32,0x35,0x32,0x36,0x32, + 0x36,0x38,0x32,0x34,0x31,0x38,0x39,0x34,0x33,0x36, + 0x34,0x38,0x34,0x32,0x34,0x35,0x34,0x32,0x35, + 0x4d,0x73,0x67, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x4d,0x65,0x73,0x73,0x61,0x67,0x65}; + +static const unsigned char wycheproof_ecdsa_public_keys[] = { 0x04,0xb8,0x38,0xff,0x44,0xe5,0xbc,0x17,0x7b,0xf2,0x11,0x89,0xd0,0x76,0x60,0x82,0xfc,0x9d,0x84,0x32,0x26,0x88,0x7f,0xc9,0x76,0x03,0x71,0x10,0x0b,0x7e,0xe2,0x0a,0x6f,0xf0,0xc9,0xd7,0x5b,0xfb,0xa7,0xb3,0x1a,0x6b,0xca,0x19,0x74,0x49,0x6e,0xeb,0x56,0xde,0x35,0x70,0x71,0x95,0x5d,0x83,0xc4,0xb1,0xba,0xda,0xa0,0xb2,0x18,0x32,0xe9, + 0x04,0x07,0x31,0x0f,0x90,0xa9,0xea,0xe1,0x49,0xa0,0x84,0x02,0xf5,0x41,0x94,0xa0,0xf7,0xb4,0xac,0x42,0x7b,0xf8,0xd9,0xbd,0x6c,0x76,0x81,0x07,0x1d,0xc4,0x7d,0xc3,0x62,0x26,0xa6,0xd3,0x7a,0xc4,0x6d,0x61,0xfd,0x60,0x0c,0x0b,0xf1,0xbf,0xf8,0x76,0x89,0xed,0x11,0x7d,0xda,0x6b,0x0e,0x59,0x31,0x8a,0xe0,0x10,0xa1,0x97,0xa2,0x6c,0xa0, + 0x04,0xbc,0x97,0xe7,0x58,0x5e,0xec,0xad,0x48,0xe1,0x66,0x83,0xbc,0x40,0x91,0x70,0x8e,0x1a,0x93,0x0c,0x68,0x3f,0xc4,0x70,0x01,0xd4,0xb3,0x83,0x59,0x4f,0x2c,0x4e,0x22,0x70,0x59,0x89,0xcf,0x69,0xda,0xea,0xdd,0x4e,0x4e,0x4b,0x81,0x51,0xed,0x88,0x8d,0xfe,0xc2,0x0f,0xb0,0x17,0x28,0xd8,0x9d,0x56,0xb3,0xf3,0x8f,0x2a,0xe9,0xc8,0xc5, + 0x04,0x44,0xad,0x33,0x9a,0xfb,0xc2,0x1e,0x9a,0xbf,0x7b,0x60,0x2a,0x5c,0xa5,0x35,0xea,0x37,0x81,0x35,0xb6,0xd1,0x0d,0x81,0x31,0x0b,0xdd,0x82,0x93,0xd1,0xdf,0x32,0x52,0xb6,0x3f,0xf7,0xd0,0x77,0x47,0x70,0xf8,0xfe,0x1d,0x17,0x22,0xfa,0x83,0xac,0xd0,0x2f,0x43,0x4e,0x4f,0xc1,0x10,0xa0,0xcc,0x8f,0x6d,0xdd,0xd3,0x7d,0x56,0xc4,0x63, + 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0x04,0x2e,0x1f,0x46,0x6b,0x02,0x4c,0x0c,0x3a,0xce,0x24,0x37,0xde,0x09,0x12,0x7f,0xed,0x04,0xb7,0x06,0xf9,0x4b,0x19,0xa2,0x1b,0xb1,0xc2,0xac,0xf3,0x5c,0xec,0xe7,0x18,0x04,0x49,0xae,0x35,0x23,0xd7,0x25,0x34,0xe9,0x64,0x97,0x2c,0xfd,0x3b,0x38,0xaf,0x0b,0xdd,0xd9,0x61,0x9e,0x5a,0xf2,0x23,0xe4,0xd1,0xa4,0x0f,0x34,0xcf,0x9f,0x1d, + 0x04,0x8e,0x7a,0xbd,0xbb,0xd1,0x8d,0xe7,0x45,0x23,0x74,0xc1,0x87,0x9a,0x1c,0x3b,0x01,0xd1,0x32,0x61,0xe7,0xd4,0x57,0x1c,0x3b,0x47,0xa1,0xc7,0x6c,0x55,0xa2,0x33,0x73,0x26,0xed,0x89,0x7c,0xd5,0x17,0xa4,0xf5,0x34,0x9d,0xb8,0x09,0x78,0x0f,0x6d,0x2f,0x2b,0x9f,0x62,0x99,0xd8,0xb5,0xa8,0x90,0x77,0xf1,0x11,0x9a,0x71,0x8f,0xd7,0xb3, + 0x04,0x7b,0x33,0x3d,0x43,0x40,0xd3,0xd7,0x18,0xdd,0x3e,0x6a,0xff,0x7d,0xe7,0xbb,0xf8,0xb7,0x2b,0xfd,0x61,0x6c,0x84,0x20,0x05,0x60,0x52,0x84,0x23,0x76,0xb9,0xaf,0x19,0x42,0x11,0x7c,0x5a,0xfe,0xac,0x75,0x5d,0x6f,0x37,0x6f,0xc6,0x32,0x9a,0x7d,0x76,0x05,0x1b,0x87,0x12,0x3a,0x4a,0x5d,0x0b,0xc4,0xa5,0x39,0x38,0x0f,0x03,0xde,0x7b, + 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0x04,0x79,0xbe,0x66,0x7e,0xf9,0xdc,0xbb,0xac,0x55,0xa0,0x62,0x95,0xce,0x87,0x0b,0x07,0x02,0x9b,0xfc,0xdb,0x2d,0xce,0x28,0xd9,0x59,0xf2,0x81,0x5b,0x16,0xf8,0x17,0x98,0xb7,0xc5,0x25,0x88,0xd9,0x5c,0x3b,0x9a,0xa2,0x5b,0x04,0x03,0xf1,0xee,0xf7,0x57,0x02,0xe8,0x4b,0xb7,0x59,0x7a,0xab,0xe6,0x63,0xb8,0x2f,0x6f,0x04,0xef,0x27,0x77, + 0x04,0x78,0x2c,0x8e,0xd1,0x7e,0x3b,0x2a,0x78,0x3b,0x54,0x64,0xf3,0x3b,0x09,0x65,0x2a,0x71,0xc6,0x78,0xe0,0x5e,0xc5,0x1e,0x84,0xe2,0xbc,0xfc,0x66,0x3a,0x3d,0xe9,0x63,0xaf,0x9a,0xcb,0x42,0x80,0xb8,0xc7,0xf7,0xc4,0x2f,0x4e,0xf9,0xab,0xa6,0x24,0x5e,0xc1,0xec,0x17,0x12,0xfd,0x38,0xa0,0xfa,0x96,0x41,0x8d,0x8c,0xd6,0xaa,0x61,0x52, + 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0x00,0x00,0x00,0x01,0x06,0x04,0x92,0xd5,0xa5,0x67,0x3e,0x0f,0x25,0xd8,0xd5,0x0f,0xb7,0xe5,0x8c,0x49,0xd8,0x6d,0x46,0xd4,0x21,0x69,0x55,0xe0,0xaa,0x3d,0x40,0xe1, + 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0xff,0xff,0xff,0xfe,0xf9,0xfb,0x6d,0x2a,0x5a,0x98,0xc1,0xf0,0xda,0x27,0x2a,0xf0,0x48,0x1a,0x73,0xb6,0x27,0x92,0xb9,0x2b,0xde,0x96,0xaa,0x1e,0x55,0xc2,0xbb,0x4e, + 0x04,0x00,0x00,0x00,0x01,0x3f,0xd2,0x22,0x48,0xd6,0x4d,0x95,0xf7,0x3c,0x29,0xb4,0x8a,0xb4,0x86,0x31,0x85,0x0b,0xe5,0x03,0xfd,0x00,0xf8,0x46,0x8b,0x5f,0x0f,0x70,0xe0,0xf6,0xee,0x7a,0xa4,0x3b,0xc2,0xc6,0xfd,0x25,0xb1,0xd8,0x26,0x92,0x41,0xcb,0xdd,0x9d,0xbb,0x0d,0xac,0x96,0xdc,0x96,0x23,0x1f,0x43,0x07,0x05,0xf8,0x38,0x71,0x7d, + 0x04,0x25,0xaf,0xd6,0x89,0xac,0xab,0xae,0xd6,0x7c,0x1f,0x29,0x6d,0xe5,0x94,0x06,0xf8,0xc5,0x50,0xf5,0x71,0x46,0xa0,0xb4,0xec,0x2c,0x97,0x87,0x6d,0xff,0xff,0xff,0xff,0xfa,0x46,0xa7,0x6e,0x52,0x03,0x22,0xdf,0xbc,0x49,0x1e,0xc4,0xf0,0xcc,0x19,0x74,0x20,0xfc,0x4e,0xa5,0x88,0x3d,0x8f,0x6d,0xd5,0x3c,0x35,0x4b,0xc4,0xf6,0x7c,0x35, + 0x04,0xd1,0x2e,0x6c,0x66,0xb6,0x77,0x34,0xc3,0xc8,0x4d,0x26,0x01,0xcf,0x5d,0x35,0xdc,0x09,0x7e,0x27,0x63,0x7f,0x0a,0xca,0x4a,0x4f,0xdb,0x74,0xb6,0xaa,0xdd,0x3b,0xb9,0x3f,0x5b,0xdf,0xf8,0x8b,0xd5,0x73,0x6d,0xf8,0x98,0xe6,0x99,0x00,0x6e,0xd7,0x50,0xf1,0x1c,0xf0,0x7c,0x58,0x66,0xcd,0x7a,0xd7,0x0c,0x71,0x21,0xff,0xff,0xff,0xff, + 0x04,0x6d,0x4a,0x7f,0x60,0xd4,0x77,0x4a,0x4f,0x0a,0xa8,0xbb,0xde,0xdb,0x95,0x3c,0x7e,0xea,0x79,0x09,0x40,0x7e,0x31,0x64,0x75,0x56,0x64,0xbc,0x28,0x00,0x00,0x00,0x00,0xe6,0x59,0xd3,0x4e,0x4d,0xf3,0x8d,0x9e,0x8c,0x9e,0xaa,0xdf,0xba,0x36,0x61,0x2c,0x76,0x91,0x95,0xbe,0x86,0xc7,0x7a,0xac,0x3f,0x36,0xe7,0x8b,0x53,0x86,0x80,0xfb}; + +static const unsigned char wycheproof_ecdsa_signatures[] = { 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x21,0x00,0x90,0x0e,0x75,0xad,0x23,0x3f,0xcc,0x90,0x85,0x09,0xdb,0xff,0x59,0x22,0x64,0x7d,0xb3,0x7c,0x21,0xf4,0xaf,0xd3,0x20,0x3a,0xe8,0xdc,0x4a,0xe7,0x79,0x4b,0x0f,0x87, + 0x30,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x81,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x82,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x44,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x85,0x01,0x00,0x00,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x89,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 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0x30,0x45,0x02,0x21,0x00,0xb6,0x15,0x69,0x8c,0x35,0x8b,0x35,0x92,0x0d,0xd8,0x83,0xec,0xa6,0x25,0xa6,0xc5,0xf7,0x56,0x39,0x70,0xcd,0xfc,0x37,0x8f,0x8f,0xe0,0xce,0xe1,0x70,0x92,0x14,0x4c,0x02,0x20,0x25,0xf4,0x7b,0x32,0x6b,0x5b,0xe1,0xfb,0x61,0x0b,0x88,0x51,0x53,0xea,0x84,0xd4,0x1e,0xb4,0x71,0x6b,0xe6,0x6a,0x99,0x4e,0x87,0x79,0x98,0x9d,0xf1,0xc8,0x63,0xd4, + 0x30,0x45,0x02,0x21,0x00,0x87,0xcf,0x8c,0x0e,0xb8,0x2d,0x44,0xf6,0x9c,0x60,0xa2,0xff,0x54,0x57,0xd3,0xaa,0xa3,0x22,0xe7,0xec,0x61,0xae,0x5a,0xec,0xfd,0x67,0x8a,0xe1,0xc1,0x93,0x2b,0x0e,0x02,0x20,0x3a,0xdd,0x3b,0x11,0x58,0x15,0x04,0x7d,0x6e,0xb3,0x40,0xa3,0xe0,0x08,0x98,0x9e,0xaa,0x0f,0x87,0x08,0xd1,0x79,0x48,0x14,0x72,0x90,0x94,0xd0,0x8d,0x24,0x60,0xd3, + 0x30,0x44,0x02,0x20,0x62,0xf4,0x8e,0xf7,0x1a,0xce,0x27,0xbf,0x5a,0x01,0x83,0x4d,0xe1,0xf7,0xe3,0xf9,0x48,0xb9,0xdc,0xe1,0xca,0x1e,0x91,0x1d,0x5e,0x13,0xd3,0xb1,0x04,0x47,0x1d,0x82,0x02,0x20,0x5e,0xa8,0xf3,0x3f,0x0c,0x77,0x89,0x72,0xc4,0x58,0x20,0x80,0xde,0xda,0x9b,0x34,0x18,0x57,0xdd,0x64,0x51,0x4f,0x08,0x49,0xa0,0x5f,0x69,0x64,0xc2,0xe3,0x40,0x22, + 0x30,0x45,0x02,0x21,0x00,0xf6,0xb0,0xe2,0xf6,0xfe,0x02,0x0c,0xf7,0xc0,0xc2,0x01,0x37,0x43,0x43,0x44,0xed,0x7a,0xdd,0x6c,0x4b,0xe5,0x18,0x61,0xe2,0xd1,0x4c,0xbd,0xa4,0x72,0xa6,0xff,0xb4,0x02,0x20,0x64,0x16,0xc8,0xdd,0x3e,0x5c,0x52,0x82,0xb3,0x06,0xe8,0xdc,0x8f,0xf3,0x4a,0xb6,0x4c,0xc9,0x95,0x49,0x23,0x2d,0x67,0x8d,0x71,0x44,0x02,0xeb,0x6c,0xa7,0xaa,0x0f, + 0x30,0x45,0x02,0x21,0x00,0xdb,0x09,0xd8,0x46,0x0f,0x05,0xef,0xf2,0x3b,0xc7,0xe4,0x36,0xb6,0x7d,0xa5,0x63,0xfa,0x4b,0x4e,0xdb,0x58,0xac,0x24,0xce,0x20,0x1f,0xa8,0xa3,0x58,0x12,0x50,0x57,0x02,0x20,0x46,0xda,0x11,0x67,0x54,0x60,0x29,0x40,0xc8,0x99,0x9c,0x8d,0x66,0x5f,0x78,0x6c,0x50,0xf5,0x77,0x2c,0x0a,0x3c,0xdb,0xda,0x07,0x5e,0x77,0xea,0xbc,0x64,0xdf,0x16, + 0x30,0x44,0x02,0x20,0x59,0x2c,0x41,0xe1,0x65,0x17,0xf1,0x2f,0xca,0xbd,0x98,0x26,0x76,0x74,0xf9,0x74,0xb5,0x88,0xe9,0xf3,0x5d,0x35,0x40,0x6c,0x1a,0x7b,0xb2,0xed,0x1d,0x19,0xb7,0xb8,0x02,0x20,0x3e,0x65,0xa0,0x6b,0xd9,0xf8,0x3c,0xaa,0xeb,0x7b,0x00,0xf2,0x36,0x8d,0x7e,0x0d,0xec,0xe6,0xb1,0x22,0x21,0x26,0x9a,0x9b,0x5b,0x76,0x51,0x98,0xf8,0x40,0xa3,0xa1, + 0x30,0x45,0x02,0x21,0x00,0xbe,0x0d,0x70,0x88,0x7d,0x5e,0x40,0x82,0x1a,0x61,0xb6,0x80,0x47,0xde,0x4e,0xa0,0x3d,0xeb,0xfd,0xf5,0x1c,0xdf,0x4d,0x4b,0x19,0x55,0x58,0xb9,0x59,0xa0,0x32,0xb2,0x02,0x20,0x7d,0x99,0x4b,0x2d,0x8f,0x1d,0xbb,0xeb,0x13,0x53,0x4e,0xb3,0xf6,0xe5,0xdc,0xcd,0x85,0xf5,0xc4,0x13,0x3c,0x27,0xd9,0xe6,0x42,0x71,0xb1,0x82,0x6c,0xe1,0xf6,0x7d, + 0x30,0x45,0x02,0x21,0x00,0xfa,0xe9,0x2d,0xfc,0xb2,0xee,0x39,0x2d,0x27,0x0a,0xf3,0xa5,0x73,0x9f,0xaa,0x26,0xd4,0xf9,0x7b,0xfd,0x39,0xed,0x3c,0xbe,0xe4,0xd2,0x9e,0x26,0xaf,0x3b,0x20,0x6a,0x02,0x20,0x6c,0x9b,0xa3,0x7f,0x9f,0xaa,0x6a,0x1f,0xd3,0xf6,0x5f,0x23,0xb4,0xe8,0x53,0xd4,0x69,0x2a,0x72,0x74,0x24,0x0a,0x12,0xdb,0x7b,0xa3,0x88,0x48,0x30,0x63,0x0d,0x16, + 0x30,0x44,0x02,0x20,0x17,0x6a,0x25,0x57,0x56,0x6f,0xfa,0x51,0x8b,0x11,0x22,0x66,0x94,0xeb,0x98,0x02,0xed,0x20,0x98,0xbf,0xe2,0x78,0xe5,0x57,0x0f,0xe1,0xd5,0xd7,0xaf,0x18,0xa9,0x43,0x02,0x20,0x12,0x91,0xdf,0x6a,0x0e,0xd5,0xfc,0x0d,0x15,0x09,0x8e,0x70,0xbc,0xf1,0x3a,0x00,0x92,0x84,0xdf,0xd0,0x68,0x9d,0x3b,0xb4,0xbe,0x6c,0xee,0xb9,0xbe,0x14,0x87,0xc4, + 0x30,0x44,0x02,0x20,0x60,0xbe,0x20,0xc3,0xdb,0xc1,0x62,0xdd,0x34,0xd2,0x67,0x80,0x62,0x1c,0x10,0x4b,0xbe,0x5d,0xac,0xe6,0x30,0x17,0x1b,0x2d,0xae,0xf0,0xd8,0x26,0x40,0x9e,0xe5,0xc2,0x02,0x20,0x42,0x7f,0x7e,0x4d,0x88,0x9d,0x54,0x91,0x70,0xbd,0xa6,0xa9,0x40,0x9f,0xb1,0xcb,0x8b,0x0e,0x76,0x3d,0x13,0xee,0xa7,0xbd,0x97,0xf6,0x4c,0xf4,0x1d,0xc6,0xe4,0x97, + 0x30,0x45,0x02,0x21,0x00,0xed,0xf0,0x3c,0xf6,0x3f,0x65,0x88,0x83,0x28,0x9a,0x1a,0x59,0x3d,0x10,0x07,0x89,0x5b,0x9f,0x23,0x6d,0x27,0xc9,0xc1,0xf1,0x31,0x30,0x89,0xaa,0xed,0x6b,0x16,0xae,0x02,0x20,0x1a,0x4d,0xd6,0xfc,0x08,0x14,0xdc,0x52,0x3d,0x1f,0xef,0xa8,0x1c,0x64,0xfb,0xf5,0xe6,0x18,0xe6,0x51,0xe7,0x09,0x6f,0xcc,0xad,0xbb,0x94,0xcd,0x48,0xe5,0xe0,0xcd}; + +static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = { + /* tcId: 1. Signature malleability */ + {0, 0, 6, 0, 72, 0 }, + /* tcId: 2. valid */ + {0, 0, 6, 72, 71, 1 }, + /* tcId: 3. length of sequence [r, s] uses long form encoding */ + {0, 0, 6, 143, 72, 0 }, + /* tcId: 4. length of sequence [r, s] contains a leading 0 */ + {0, 0, 6, 215, 73, 0 }, + /* tcId: 5. length of sequence [r, s] uses 70 instead of 69 */ + {0, 0, 6, 288, 71, 0 }, + /* tcId: 6. length of sequence [r, s] uses 68 instead of 69 */ + {0, 0, 6, 359, 71, 0 }, + /* tcId: 7. uint32 overflow in length of sequence [r, s] */ + {0, 0, 6, 430, 76, 0 }, + /* tcId: 8. uint64 overflow in length of sequence [r, s] */ + {0, 0, 6, 506, 80, 0 }, + /* tcId: 9. length of sequence [r, s] = 2**31 - 1 */ + {0, 0, 6, 586, 75, 0 }, + /* tcId: 10. length of sequence [r, s] = 2**31 */ + {0, 0, 6, 661, 75, 0 }, + /* tcId: 11. length of sequence [r, s] = 2**32 - 1 */ + {0, 0, 6, 736, 75, 0 }, + /* tcId: 12. length of sequence [r, s] = 2**40 - 1 */ + {0, 0, 6, 811, 76, 0 }, + /* tcId: 13. length of sequence [r, s] = 2**64 - 1 */ + {0, 0, 6, 887, 79, 0 }, + /* tcId: 14. incorrect length of sequence [r, s] */ + {0, 0, 6, 966, 71, 0 }, + /* tcId: 15. replaced sequence [r, s] by an indefinite length tag without termination */ + {0, 0, 6, 1037, 71, 0 }, + /* tcId: 16. removing sequence [r, s] */ + {0, 0, 6, 1108, 0, 0 }, + /* tcId: 17. lonely sequence tag */ + {0, 0, 6, 1108, 1, 0 }, + /* tcId: 18. appending 0's to sequence [r, s] */ + {0, 0, 6, 1109, 73, 0 }, + /* tcId: 19. prepending 0's to sequence [r, s] */ + {0, 0, 6, 1182, 73, 0 }, + /* tcId: 20. appending unused 0's to sequence [r, s] */ + {0, 0, 6, 1255, 73, 0 }, + /* tcId: 21. appending null value to sequence [r, s] */ + {0, 0, 6, 1328, 73, 0 }, + /* tcId: 22. prepending garbage to sequence [r, s] */ + {0, 0, 6, 1401, 76, 0 }, + /* tcId: 23. prepending garbage to sequence [r, s] */ + {0, 0, 6, 1477, 75, 0 }, + /* tcId: 24. appending garbage to sequence [r, s] */ + {0, 0, 6, 1552, 79, 0 }, + /* tcId: 25. including undefined tags */ + {0, 0, 6, 1631, 79, 0 }, + /* tcId: 26. including undefined tags */ + {0, 0, 6, 1710, 79, 0 }, + /* tcId: 27. including undefined tags */ + {0, 0, 6, 1789, 79, 0 }, + /* tcId: 28. truncated length of sequence [r, s] */ + {0, 0, 6, 1868, 2, 0 }, + /* tcId: 29. including undefined tags to sequence [r, s] */ + {0, 0, 6, 1870, 77, 0 }, + /* tcId: 30. using composition with indefinite length for sequence [r, s] */ + {0, 0, 6, 1947, 75, 0 }, + /* tcId: 31. using composition with wrong tag for sequence [r, s] */ + {0, 0, 6, 2022, 75, 0 }, + /* tcId: 32. Replacing sequence [r, s] with NULL */ + {0, 0, 6, 2097, 2, 0 }, + /* tcId: 33. changing tag value of sequence [r, s] */ + {0, 0, 6, 2099, 71, 0 }, + /* tcId: 34. changing tag value of sequence [r, s] */ + {0, 0, 6, 2170, 71, 0 }, + /* tcId: 35. changing tag value of sequence [r, s] */ + {0, 0, 6, 2241, 71, 0 }, + /* tcId: 36. changing tag value of sequence [r, s] */ + {0, 0, 6, 2312, 71, 0 }, + /* tcId: 37. changing tag value of sequence [r, s] */ + {0, 0, 6, 2383, 71, 0 }, + /* tcId: 38. dropping value of sequence [r, s] */ + {0, 0, 6, 2454, 2, 0 }, + /* tcId: 39. using composition for sequence [r, s] */ + {0, 0, 6, 2456, 75, 0 }, + /* tcId: 40. truncated sequence [r, s] */ + {0, 0, 6, 2531, 70, 0 }, + /* tcId: 41. truncated sequence [r, s] */ + {0, 0, 6, 2601, 70, 0 }, + /* tcId: 42. sequence [r, s] of size 4166 to check for overflows */ + {0, 0, 6, 2671, 4170, 0 }, + /* tcId: 43. indefinite length */ + {0, 0, 6, 6841, 73, 0 }, + /* tcId: 44. indefinite length with truncated delimiter */ + {0, 0, 6, 6914, 72, 0 }, + /* tcId: 45. indefinite length with additional element */ + {0, 0, 6, 6986, 75, 0 }, + /* tcId: 46. indefinite length with truncated element */ + {0, 0, 6, 7061, 77, 0 }, + /* tcId: 47. indefinite length with garbage */ + {0, 0, 6, 7138, 77, 0 }, + /* tcId: 48. indefinite length with nonempty EOC */ + {0, 0, 6, 7215, 75, 0 }, + /* tcId: 49. prepend empty sequence */ + {0, 0, 6, 7290, 73, 0 }, + /* tcId: 50. append empty sequence */ + {0, 0, 6, 7363, 73, 0 }, + /* tcId: 51. append zero */ + {0, 0, 6, 7436, 74, 0 }, + /* tcId: 52. append garbage with high tag number */ + {0, 0, 6, 7510, 74, 0 }, + /* tcId: 53. append null with explicit tag */ + {0, 0, 6, 7584, 75, 0 }, + /* tcId: 54. append null with implicit tag */ + {0, 0, 6, 7659, 73, 0 }, + /* tcId: 55. sequence of sequence */ + {0, 0, 6, 7732, 73, 0 }, + /* tcId: 56. truncated sequence: removed last 1 elements */ + {0, 0, 6, 7805, 37, 0 }, + /* tcId: 57. repeating element in sequence */ + {0, 0, 6, 7842, 105, 0 }, + /* tcId: 58. flipped bit 0 in r */ + {0, 0, 6, 7947, 69, 0 }, + /* tcId: 59. flipped bit 32 in r */ + {0, 0, 6, 8016, 69, 0 }, + /* tcId: 60. flipped bit 48 in r */ + {0, 0, 6, 8085, 69, 0 }, + /* tcId: 61. flipped bit 64 in r */ + {0, 0, 6, 8154, 69, 0 }, + /* tcId: 62. length of r uses long form encoding */ + {0, 0, 6, 8223, 72, 0 }, + /* tcId: 63. length of r contains a leading 0 */ + {0, 0, 6, 8295, 73, 0 }, + /* tcId: 64. length of r uses 34 instead of 33 */ + {0, 0, 6, 8368, 71, 0 }, + /* tcId: 65. length of r uses 32 instead of 33 */ + {0, 0, 6, 8439, 71, 0 }, + /* tcId: 66. uint32 overflow in length of r */ + {0, 0, 6, 8510, 76, 0 }, + /* tcId: 67. uint64 overflow in length of r */ + {0, 0, 6, 8586, 80, 0 }, + /* tcId: 68. length of r = 2**31 - 1 */ + {0, 0, 6, 8666, 75, 0 }, + /* tcId: 69. length of r = 2**31 */ + {0, 0, 6, 8741, 75, 0 }, + /* tcId: 70. length of r = 2**32 - 1 */ + {0, 0, 6, 8816, 75, 0 }, + /* tcId: 71. length of r = 2**40 - 1 */ + {0, 0, 6, 8891, 76, 0 }, + /* tcId: 72. length of r = 2**64 - 1 */ + {0, 0, 6, 8967, 79, 0 }, + /* tcId: 73. incorrect length of r */ + {0, 0, 6, 9046, 71, 0 }, + /* tcId: 74. replaced r by an indefinite length tag without termination */ + {0, 0, 6, 9117, 71, 0 }, + /* tcId: 75. removing r */ + {0, 0, 6, 9188, 36, 0 }, + /* tcId: 76. lonely integer tag */ + {0, 0, 6, 9224, 37, 0 }, + /* tcId: 77. lonely integer tag */ + {0, 0, 6, 9261, 38, 0 }, + /* tcId: 78. appending 0's to r */ + {0, 0, 6, 9299, 73, 0 }, + /* tcId: 79. prepending 0's to r */ + {0, 0, 6, 9372, 73, 0 }, + /* tcId: 80. appending unused 0's to r */ + {0, 0, 6, 9445, 73, 0 }, + /* tcId: 81. appending null value to r */ + {0, 0, 6, 9518, 73, 0 }, + /* tcId: 82. prepending garbage to r */ + {0, 0, 6, 9591, 76, 0 }, + /* tcId: 83. prepending garbage to r */ + {0, 0, 6, 9667, 75, 0 }, + /* tcId: 84. appending garbage to r */ + {0, 0, 6, 9742, 79, 0 }, + /* tcId: 85. truncated length of r */ + {0, 0, 6, 9821, 38, 0 }, + /* tcId: 86. including undefined tags to r */ + {0, 0, 6, 9859, 77, 0 }, + /* tcId: 87. using composition with indefinite length for r */ + {0, 0, 6, 9936, 75, 0 }, + /* tcId: 88. using composition with wrong tag for r */ + {0, 0, 6, 10011, 75, 0 }, + /* tcId: 89. Replacing r with NULL */ + {0, 0, 6, 10086, 38, 0 }, + /* tcId: 90. changing tag value of r */ + {0, 0, 6, 10124, 71, 0 }, + /* tcId: 91. changing tag value of r */ + {0, 0, 6, 10195, 71, 0 }, + /* tcId: 92. changing tag value of r */ + {0, 0, 6, 10266, 71, 0 }, + /* tcId: 93. changing tag value of r */ + {0, 0, 6, 10337, 71, 0 }, + /* tcId: 94. changing tag value of r */ + {0, 0, 6, 10408, 71, 0 }, + /* tcId: 95. dropping value of r */ + {0, 0, 6, 10479, 38, 0 }, + /* tcId: 96. using composition for r */ + {0, 0, 6, 10517, 75, 0 }, + /* tcId: 97. modifying first byte of r */ + {0, 0, 6, 10592, 71, 0 }, + /* tcId: 98. modifying last byte of r */ + {0, 0, 6, 10663, 71, 0 }, + /* tcId: 99. truncated r */ + {0, 0, 6, 10734, 70, 0 }, + /* tcId: 100. truncated r */ + {0, 0, 6, 10804, 70, 0 }, + /* tcId: 101. r of size 4130 to check for overflows */ + {0, 0, 6, 10874, 4172, 0 }, + /* tcId: 102. leading ff in r */ + {0, 0, 6, 15046, 72, 0 }, + /* tcId: 103. replaced r by infinity */ + {0, 0, 6, 15118, 39, 0 }, + /* tcId: 104. replacing r with zero */ + {0, 0, 6, 15157, 39, 0 }, + /* tcId: 105. flipped bit 0 in s */ + {0, 0, 6, 15196, 69, 0 }, + /* tcId: 106. flipped bit 32 in s */ + {0, 0, 6, 15265, 69, 0 }, + /* tcId: 107. flipped bit 48 in s */ + {0, 0, 6, 15334, 69, 0 }, + /* tcId: 108. flipped bit 64 in s */ + {0, 0, 6, 15403, 69, 0 }, + /* tcId: 109. length of s uses long form encoding */ + {0, 0, 6, 15472, 72, 0 }, + /* tcId: 110. length of s contains a leading 0 */ + {0, 0, 6, 15544, 73, 0 }, + /* tcId: 111. length of s uses 33 instead of 32 */ + {0, 0, 6, 15617, 71, 0 }, + /* tcId: 112. length of s uses 31 instead of 32 */ + {0, 0, 6, 15688, 71, 0 }, + /* tcId: 113. uint32 overflow in length of s */ + {0, 0, 6, 15759, 76, 0 }, + /* tcId: 114. uint64 overflow in length of s */ + {0, 0, 6, 15835, 80, 0 }, + /* tcId: 115. length of s = 2**31 - 1 */ + {0, 0, 6, 15915, 75, 0 }, + /* tcId: 116. length of s = 2**31 */ + {0, 0, 6, 15990, 75, 0 }, + /* tcId: 117. length of s = 2**32 - 1 */ + {0, 0, 6, 16065, 75, 0 }, + /* tcId: 118. length of s = 2**40 - 1 */ + {0, 0, 6, 16140, 76, 0 }, + /* tcId: 119. length of s = 2**64 - 1 */ + {0, 0, 6, 16216, 79, 0 }, + /* tcId: 120. incorrect length of s */ + {0, 0, 6, 16295, 71, 0 }, + /* tcId: 121. replaced s by an indefinite length tag without termination */ + {0, 0, 6, 16366, 71, 0 }, + /* tcId: 122. appending 0's to s */ + {0, 0, 6, 16437, 73, 0 }, + /* tcId: 123. prepending 0's to s */ + {0, 0, 6, 16510, 73, 0 }, + /* tcId: 124. appending null value to s */ + {0, 0, 6, 16583, 73, 0 }, + /* tcId: 125. prepending garbage to s */ + {0, 0, 6, 16656, 76, 0 }, + /* tcId: 126. prepending garbage to s */ + {0, 0, 6, 16732, 75, 0 }, + /* tcId: 127. appending garbage to s */ + {0, 0, 6, 16807, 79, 0 }, + /* tcId: 128. truncated length of s */ + {0, 0, 6, 16886, 39, 0 }, + /* tcId: 129. including undefined tags to s */ + {0, 0, 6, 16925, 77, 0 }, + /* tcId: 130. using composition with indefinite length for s */ + {0, 0, 6, 17002, 75, 0 }, + /* tcId: 131. using composition with wrong tag for s */ + {0, 0, 6, 17077, 75, 0 }, + /* tcId: 132. Replacing s with NULL */ + {0, 0, 6, 17152, 39, 0 }, + /* tcId: 133. changing tag value of s */ + {0, 0, 6, 17191, 71, 0 }, + /* tcId: 134. changing tag value of s */ + {0, 0, 6, 17262, 71, 0 }, + /* tcId: 135. changing tag value of s */ + {0, 0, 6, 17333, 71, 0 }, + /* tcId: 136. changing tag value of s */ + {0, 0, 6, 17404, 71, 0 }, + /* tcId: 137. changing tag value of s */ + {0, 0, 6, 17475, 71, 0 }, + /* tcId: 138. dropping value of s */ + {0, 0, 6, 17546, 39, 0 }, + /* tcId: 139. using composition for s */ + {0, 0, 6, 17585, 75, 0 }, + /* tcId: 140. modifying first byte of s */ + {0, 0, 6, 17660, 71, 0 }, + /* tcId: 141. modifying last byte of s */ + {0, 0, 6, 17731, 71, 0 }, + /* tcId: 142. truncated s */ + {0, 0, 6, 17802, 70, 0 }, + /* tcId: 143. truncated s */ + {0, 0, 6, 17872, 70, 0 }, + /* tcId: 144. s of size 4129 to check for overflows */ + {0, 0, 6, 17942, 4172, 0 }, + /* tcId: 145. leading ff in s */ + {0, 0, 6, 22114, 72, 0 }, + /* tcId: 146. replaced s by infinity */ + {0, 0, 6, 22186, 40, 0 }, + /* tcId: 147. replacing s with zero */ + {0, 0, 6, 22226, 40, 0 }, + /* tcId: 148. replaced r by r + n */ + {0, 0, 6, 22266, 71, 0 }, + /* tcId: 149. replaced r by r - n */ + {0, 0, 6, 22337, 70, 0 }, + /* tcId: 150. replaced r by r + 256 * n */ + {0, 0, 6, 22407, 72, 0 }, + /* tcId: 151. replaced r by -r */ + {0, 0, 6, 22479, 71, 0 }, + /* tcId: 152. replaced r by n - r */ + {0, 0, 6, 22550, 70, 0 }, + /* tcId: 153. replaced r by -n - r */ + {0, 0, 6, 22620, 71, 0 }, + /* tcId: 154. replaced r by r + 2**256 */ + {0, 0, 6, 22691, 71, 0 }, + /* tcId: 155. replaced r by r + 2**320 */ + {0, 0, 6, 22762, 79, 0 }, + /* tcId: 156. replaced s by s + n */ + {0, 0, 6, 22841, 71, 0 }, + /* tcId: 157. replaced s by s - n */ + {0, 0, 6, 22912, 71, 0 }, + /* tcId: 158. replaced s by s + 256 * n */ + {0, 0, 6, 22983, 72, 0 }, + /* tcId: 159. replaced s by -s */ + {0, 0, 6, 23055, 70, 0 }, + /* tcId: 160. replaced s by -n - s */ + {0, 0, 6, 23125, 71, 0 }, + /* tcId: 161. replaced s by s + 2**256 */ + {0, 0, 6, 23196, 71, 0 }, + /* tcId: 162. replaced s by s - 2**256 */ + {0, 0, 6, 23267, 71, 0 }, + /* tcId: 163. replaced s by s + 2**320 */ + {0, 0, 6, 23338, 79, 0 }, + /* tcId: 164. Signature with special case values r=0 and s=0 */ + {0, 0, 6, 23417, 8, 0 }, + /* tcId: 165. Signature with special case values r=0 and s=1 */ + {0, 0, 6, 23425, 8, 0 }, + /* tcId: 166. Signature with special case values r=0 and s=-1 */ + {0, 0, 6, 23433, 8, 0 }, + /* tcId: 167. Signature with special case values r=0 and s=n */ + {0, 0, 6, 23441, 40, 0 }, + /* tcId: 168. Signature with special case values r=0 and s=n - 1 */ + {0, 0, 6, 23481, 40, 0 }, + /* tcId: 169. Signature with special case values r=0 and s=n + 1 */ + {0, 0, 6, 23521, 40, 0 }, + /* tcId: 170. Signature with special case values r=0 and s=p */ + {0, 0, 6, 23561, 40, 0 }, + /* tcId: 171. Signature with special case values r=0 and s=p + 1 */ + {0, 0, 6, 23601, 40, 0 }, + /* tcId: 172. Signature with special case values r=1 and s=0 */ + {0, 0, 6, 23641, 8, 0 }, + /* tcId: 173. Signature with special case values r=1 and s=1 */ + {0, 0, 6, 23649, 8, 0 }, + /* tcId: 174. Signature with special case values r=1 and s=-1 */ + {0, 0, 6, 23657, 8, 0 }, + /* tcId: 175. Signature with special case values r=1 and s=n */ + {0, 0, 6, 23665, 40, 0 }, + /* tcId: 176. Signature with special case values r=1 and s=n - 1 */ + {0, 0, 6, 23705, 40, 0 }, + /* tcId: 177. Signature with special case values r=1 and s=n + 1 */ + {0, 0, 6, 23745, 40, 0 }, + /* tcId: 178. Signature with special case values r=1 and s=p */ + {0, 0, 6, 23785, 40, 0 }, + /* tcId: 179. Signature with special case values r=1 and s=p + 1 */ + {0, 0, 6, 23825, 40, 0 }, + /* tcId: 180. Signature with special case values r=-1 and s=0 */ + {0, 0, 6, 23865, 8, 0 }, + /* tcId: 181. Signature with special case values r=-1 and s=1 */ + {0, 0, 6, 23873, 8, 0 }, + /* tcId: 182. Signature with special case values r=-1 and s=-1 */ + {0, 0, 6, 23881, 8, 0 }, + /* tcId: 183. Signature with special case values r=-1 and s=n */ + {0, 0, 6, 23889, 40, 0 }, + /* tcId: 184. Signature with special case values r=-1 and s=n - 1 */ + {0, 0, 6, 23929, 40, 0 }, + /* tcId: 185. Signature with special case values r=-1 and s=n + 1 */ + {0, 0, 6, 23969, 40, 0 }, + /* tcId: 186. Signature with special case values r=-1 and s=p */ + {0, 0, 6, 24009, 40, 0 }, + /* tcId: 187. Signature with special case values r=-1 and s=p + 1 */ + {0, 0, 6, 24049, 40, 0 }, + /* tcId: 188. Signature with special case values r=n and s=0 */ + {0, 0, 6, 24089, 40, 0 }, + /* tcId: 189. Signature with special case values r=n and s=1 */ + {0, 0, 6, 24129, 40, 0 }, + /* tcId: 190. Signature with special case values r=n and s=-1 */ + {0, 0, 6, 24169, 40, 0 }, + /* tcId: 191. Signature with special case values r=n and s=n */ + {0, 0, 6, 24209, 72, 0 }, + /* tcId: 192. Signature with special case values r=n and s=n - 1 */ + {0, 0, 6, 24281, 72, 0 }, + /* tcId: 193. Signature with special case values r=n and s=n + 1 */ + {0, 0, 6, 24353, 72, 0 }, + /* tcId: 194. Signature with special case values r=n and s=p */ + {0, 0, 6, 24425, 72, 0 }, + /* tcId: 195. Signature with special case values r=n and s=p + 1 */ + {0, 0, 6, 24497, 72, 0 }, + /* tcId: 196. Signature with special case values r=n - 1 and s=0 */ + {0, 0, 6, 24569, 40, 0 }, + /* tcId: 197. Signature with special case values r=n - 1 and s=1 */ + {0, 0, 6, 24609, 40, 0 }, + /* tcId: 198. Signature with special case values r=n - 1 and s=-1 */ + {0, 0, 6, 24649, 40, 0 }, + /* tcId: 199. Signature with special case values r=n - 1 and s=n */ + {0, 0, 6, 24689, 72, 0 }, + /* tcId: 200. Signature with special case values r=n - 1 and s=n - 1 */ + {0, 0, 6, 24761, 72, 0 }, + /* tcId: 201. Signature with special case values r=n - 1 and s=n + 1 */ + {0, 0, 6, 24833, 72, 0 }, + /* tcId: 202. Signature with special case values r=n - 1 and s=p */ + {0, 0, 6, 24905, 72, 0 }, + /* tcId: 203. Signature with special case values r=n - 1 and s=p + 1 */ + {0, 0, 6, 24977, 72, 0 }, + /* tcId: 204. Signature with special case values r=n + 1 and s=0 */ + {0, 0, 6, 25049, 40, 0 }, + /* tcId: 205. Signature with special case values r=n + 1 and s=1 */ + {0, 0, 6, 25089, 40, 0 }, + /* tcId: 206. Signature with special case values r=n + 1 and s=-1 */ + {0, 0, 6, 25129, 40, 0 }, + /* tcId: 207. Signature with special case values r=n + 1 and s=n */ + {0, 0, 6, 25169, 72, 0 }, + /* tcId: 208. Signature with special case values r=n + 1 and s=n - 1 */ + {0, 0, 6, 25241, 72, 0 }, + /* tcId: 209. Signature with special case values r=n + 1 and s=n + 1 */ + {0, 0, 6, 25313, 72, 0 }, + /* tcId: 210. Signature with special case values r=n + 1 and s=p */ + {0, 0, 6, 25385, 72, 0 }, + /* tcId: 211. Signature with special case values r=n + 1 and s=p + 1 */ + {0, 0, 6, 25457, 72, 0 }, + /* tcId: 212. Signature with special case values r=p and s=0 */ + {0, 0, 6, 25529, 40, 0 }, + /* tcId: 213. Signature with special case values r=p and s=1 */ + {0, 0, 6, 25569, 40, 0 }, + /* tcId: 214. Signature with special case values r=p and s=-1 */ + {0, 0, 6, 25609, 40, 0 }, + /* tcId: 215. Signature with special case values r=p and s=n */ + {0, 0, 6, 25649, 72, 0 }, + /* tcId: 216. Signature with special case values r=p and s=n - 1 */ + {0, 0, 6, 25721, 72, 0 }, + /* tcId: 217. Signature with special case values r=p and s=n + 1 */ + {0, 0, 6, 25793, 72, 0 }, + /* tcId: 218. Signature with special case values r=p and s=p */ + {0, 0, 6, 25865, 72, 0 }, + /* tcId: 219. Signature with special case values r=p and s=p + 1 */ + {0, 0, 6, 25937, 72, 0 }, + /* tcId: 220. Signature with special case values r=p + 1 and s=0 */ + {0, 0, 6, 26009, 40, 0 }, + /* tcId: 221. Signature with special case values r=p + 1 and s=1 */ + {0, 0, 6, 26049, 40, 0 }, + /* tcId: 222. Signature with special case values r=p + 1 and s=-1 */ + {0, 0, 6, 26089, 40, 0 }, + /* tcId: 223. Signature with special case values r=p + 1 and s=n */ + {0, 0, 6, 26129, 72, 0 }, + /* tcId: 224. Signature with special case values r=p + 1 and s=n - 1 */ + {0, 0, 6, 26201, 72, 0 }, + /* tcId: 225. Signature with special case values r=p + 1 and s=n + 1 */ + {0, 0, 6, 26273, 72, 0 }, + /* tcId: 226. Signature with special case values r=p + 1 and s=p */ + {0, 0, 6, 26345, 72, 0 }, + /* tcId: 227. Signature with special case values r=p + 1 and s=p + 1 */ + {0, 0, 6, 26417, 72, 0 }, + /* tcId: 228. Signature encoding contains incorrect types: r=0, s=0.25 */ + {0, 0, 6, 26489, 10, 0 }, + /* tcId: 229. Signature encoding contains incorrect types: r=0, s=nan */ + {0, 0, 6, 26499, 8, 0 }, + /* tcId: 230. Signature encoding contains incorrect types: r=0, s=True */ + {0, 0, 6, 26507, 8, 0 }, + /* tcId: 231. Signature encoding contains incorrect types: r=0, s=False */ + {0, 0, 6, 26515, 8, 0 }, + /* tcId: 232. Signature encoding contains incorrect types: r=0, s=Null */ + {0, 0, 6, 26523, 7, 0 }, + /* tcId: 233. Signature encoding contains incorrect types: r=0, s=empyt UTF-8 string */ + {0, 0, 6, 26530, 7, 0 }, + /* tcId: 234. Signature encoding contains incorrect types: r=0, s="0" */ + {0, 0, 6, 26537, 8, 0 }, + /* tcId: 235. Signature encoding contains incorrect types: r=0, s=empty list */ + {0, 0, 6, 26545, 7, 0 }, + /* tcId: 236. Signature encoding contains incorrect types: r=0, s=list containing 0 */ + {0, 0, 6, 26552, 10, 0 }, + /* tcId: 237. Signature encoding contains incorrect types: r=1, s=0.25 */ + {0, 0, 6, 26562, 10, 0 }, + /* tcId: 238. Signature encoding contains incorrect types: r=1, s=nan */ + {0, 0, 6, 26572, 8, 0 }, + /* tcId: 239. Signature encoding contains incorrect types: r=1, s=True */ + {0, 0, 6, 26580, 8, 0 }, + /* tcId: 240. Signature encoding contains incorrect types: r=1, s=False */ + {0, 0, 6, 26588, 8, 0 }, + /* tcId: 241. Signature encoding contains incorrect types: r=1, s=Null */ + {0, 0, 6, 26596, 7, 0 }, + /* tcId: 242. Signature encoding contains incorrect types: r=1, s=empyt UTF-8 string */ + {0, 0, 6, 26603, 7, 0 }, + /* tcId: 243. Signature encoding contains incorrect types: r=1, s="0" */ + {0, 0, 6, 26610, 8, 0 }, + /* tcId: 244. Signature encoding contains incorrect types: r=1, s=empty list */ + {0, 0, 6, 26618, 7, 0 }, + /* tcId: 245. Signature encoding contains incorrect types: r=1, s=list containing 0 */ + {0, 0, 6, 26625, 10, 0 }, + /* tcId: 246. Signature encoding contains incorrect types: r=-1, s=0.25 */ + {0, 0, 6, 26635, 10, 0 }, + /* tcId: 247. Signature encoding contains incorrect types: r=-1, s=nan */ + {0, 0, 6, 26645, 8, 0 }, + /* tcId: 248. Signature encoding contains incorrect types: r=-1, s=True */ + {0, 0, 6, 26653, 8, 0 }, + /* tcId: 249. Signature encoding contains incorrect types: r=-1, s=False */ + {0, 0, 6, 26661, 8, 0 }, + /* tcId: 250. Signature encoding contains incorrect types: r=-1, s=Null */ + {0, 0, 6, 26669, 7, 0 }, + /* tcId: 251. Signature encoding contains incorrect types: r=-1, s=empyt UTF-8 string */ + {0, 0, 6, 26676, 7, 0 }, + /* tcId: 252. Signature encoding contains incorrect types: r=-1, s="0" */ + {0, 0, 6, 26683, 8, 0 }, + /* tcId: 253. Signature encoding contains incorrect types: r=-1, s=empty list */ + {0, 0, 6, 26691, 7, 0 }, + /* tcId: 254. Signature encoding contains incorrect types: r=-1, s=list containing 0 */ + {0, 0, 6, 26698, 10, 0 }, + /* tcId: 255. Signature encoding contains incorrect types: r=n, s=0.25 */ + {0, 0, 6, 26708, 42, 0 }, + /* tcId: 256. Signature encoding contains incorrect types: r=n, s=nan */ + {0, 0, 6, 26750, 40, 0 }, + /* tcId: 257. Signature encoding contains incorrect types: r=n, s=True */ + {0, 0, 6, 26790, 40, 0 }, + /* tcId: 258. Signature encoding contains incorrect types: r=n, s=False */ + {0, 0, 6, 26830, 40, 0 }, + /* tcId: 259. Signature encoding contains incorrect types: r=n, s=Null */ + {0, 0, 6, 26870, 39, 0 }, + /* tcId: 260. Signature encoding contains incorrect types: r=n, s=empyt UTF-8 string */ + {0, 0, 6, 26909, 39, 0 }, + /* tcId: 261. Signature encoding contains incorrect types: r=n, s="0" */ + {0, 0, 6, 26948, 40, 0 }, + /* tcId: 262. Signature encoding contains incorrect types: r=n, s=empty list */ + {0, 0, 6, 26988, 39, 0 }, + /* tcId: 263. Signature encoding contains incorrect types: r=n, s=list containing 0 */ + {0, 0, 6, 27027, 42, 0 }, + /* tcId: 264. Signature encoding contains incorrect types: r=p, s=0.25 */ + {0, 0, 6, 27069, 42, 0 }, + /* tcId: 265. Signature encoding contains incorrect types: r=p, s=nan */ + {0, 0, 6, 27111, 40, 0 }, + /* tcId: 266. Signature encoding contains incorrect types: r=p, s=True */ + {0, 0, 6, 27151, 40, 0 }, + /* tcId: 267. Signature encoding contains incorrect types: r=p, s=False */ + {0, 0, 6, 27191, 40, 0 }, + /* tcId: 268. Signature encoding contains incorrect types: r=p, s=Null */ + {0, 0, 6, 27231, 39, 0 }, + /* tcId: 269. Signature encoding contains incorrect types: r=p, s=empyt UTF-8 string */ + {0, 0, 6, 27270, 39, 0 }, + /* tcId: 270. Signature encoding contains incorrect types: r=p, s="0" */ + {0, 0, 6, 27309, 40, 0 }, + /* tcId: 271. Signature encoding contains incorrect types: r=p, s=empty list */ + {0, 0, 6, 27349, 39, 0 }, + /* tcId: 272. Signature encoding contains incorrect types: r=p, s=list containing 0 */ + {0, 0, 6, 27388, 42, 0 }, + /* tcId: 273. Signature encoding contains incorrect types: r=0.25, s=0.25 */ + {0, 0, 6, 27430, 12, 0 }, + /* tcId: 274. Signature encoding contains incorrect types: r=nan, s=nan */ + {0, 0, 6, 27442, 8, 0 }, + /* tcId: 275. Signature encoding contains incorrect types: r=True, s=True */ + {0, 0, 6, 27450, 8, 0 }, + /* tcId: 276. Signature encoding contains incorrect types: r=False, s=False */ + {0, 0, 6, 27458, 8, 0 }, + /* tcId: 277. Signature encoding contains incorrect types: r=Null, s=Null */ + {0, 0, 6, 27466, 6, 0 }, + /* tcId: 278. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=empyt UTF-8 string */ + {0, 0, 6, 27472, 6, 0 }, + /* tcId: 279. Signature encoding contains incorrect types: r="0", s="0" */ + {0, 0, 6, 27478, 8, 0 }, + /* tcId: 280. Signature encoding contains incorrect types: r=empty list, s=empty list */ + {0, 0, 6, 27486, 6, 0 }, + /* tcId: 281. Signature encoding contains incorrect types: r=list containing 0, s=list containing 0 */ + {0, 0, 6, 27492, 12, 0 }, + /* tcId: 282. Signature encoding contains incorrect types: r=0.25, s=0 */ + {0, 0, 6, 27504, 10, 0 }, + /* tcId: 283. Signature encoding contains incorrect types: r=nan, s=0 */ + {0, 0, 6, 27514, 8, 0 }, + /* tcId: 284. Signature encoding contains incorrect types: r=True, s=0 */ + {0, 0, 6, 27522, 8, 0 }, + /* tcId: 285. Signature encoding contains incorrect types: r=False, s=0 */ + {0, 0, 6, 27530, 8, 0 }, + /* tcId: 286. Signature encoding contains incorrect types: r=Null, s=0 */ + {0, 0, 6, 27538, 7, 0 }, + /* tcId: 287. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=0 */ + {0, 0, 6, 27545, 7, 0 }, + /* tcId: 288. Signature encoding contains incorrect types: r="0", s=0 */ + {0, 0, 6, 27552, 8, 0 }, + /* tcId: 289. Signature encoding contains incorrect types: r=empty list, s=0 */ + {0, 0, 6, 27560, 7, 0 }, + /* tcId: 290. Signature encoding contains incorrect types: r=list containing 0, s=0 */ + {0, 0, 6, 27567, 10, 0 }, + /* tcId: 291. Edge case for Shamir multiplication */ + {0, 6, 5, 27577, 71, 1 }, + /* tcId: 292. special case hash */ + {0, 11, 9, 27648, 71, 1 }, + /* tcId: 293. special case hash */ + {0, 20, 10, 27719, 70, 1 }, + /* tcId: 294. special case hash */ + {0, 30, 11, 27789, 71, 1 }, + /* tcId: 295. special case hash */ + {0, 41, 10, 27860, 71, 1 }, + /* tcId: 296. special case hash */ + {0, 51, 10, 27931, 70, 1 }, + /* tcId: 297. special case hash */ + {0, 61, 10, 28001, 71, 1 }, + /* tcId: 298. special case hash */ + {0, 71, 9, 28072, 70, 1 }, + /* tcId: 299. special case hash */ + {0, 80, 10, 28142, 71, 1 }, + /* tcId: 300. special case hash */ + {0, 90, 10, 28213, 71, 1 }, + /* tcId: 301. special case hash */ + {0, 100, 10, 28284, 71, 1 }, + /* tcId: 302. special case hash */ + {0, 110, 10, 28355, 71, 1 }, + /* tcId: 303. special case hash */ + {0, 120, 11, 28426, 70, 1 }, + /* tcId: 304. special case hash */ + {0, 131, 10, 28496, 71, 1 }, + /* tcId: 305. special case hash */ + {0, 141, 10, 28567, 71, 1 }, + /* tcId: 306. special case hash */ + {0, 151, 10, 28638, 70, 1 }, + /* tcId: 307. special case hash */ + {0, 161, 10, 28708, 71, 1 }, + /* tcId: 308. special case hash */ + {0, 171, 10, 28779, 71, 1 }, + /* tcId: 309. special case hash */ + {0, 181, 10, 28850, 70, 1 }, + /* tcId: 310. special case hash */ + {0, 191, 10, 28920, 71, 1 }, + /* tcId: 311. special case hash */ + {0, 201, 10, 28991, 71, 1 }, + /* tcId: 312. special case hash */ + {0, 211, 10, 29062, 71, 1 }, + /* tcId: 313. special case hash */ + {0, 221, 10, 29133, 70, 1 }, + /* tcId: 314. special case hash */ + {0, 231, 10, 29203, 71, 1 }, + /* tcId: 315. special case hash */ + {0, 241, 10, 29274, 71, 1 }, + /* tcId: 316. special case hash */ + {0, 251, 10, 29345, 71, 1 }, + /* tcId: 317. special case hash */ + {0, 261, 11, 29416, 71, 1 }, + /* tcId: 318. special case hash */ + {0, 272, 11, 29487, 70, 1 }, + /* tcId: 319. special case hash */ + {0, 283, 9, 29557, 71, 1 }, + /* tcId: 320. special case hash */ + {0, 292, 9, 29628, 71, 1 }, + /* tcId: 321. special case hash */ + {0, 301, 10, 29699, 71, 1 }, + /* tcId: 322. special case hash */ + {0, 311, 10, 29770, 71, 1 }, + /* tcId: 323. special case hash */ + {0, 321, 10, 29841, 70, 1 }, + /* tcId: 324. special case hash */ + {0, 331, 10, 29911, 70, 1 }, + /* tcId: 325. special case hash */ + {0, 341, 10, 29981, 71, 1 }, + /* tcId: 326. special case hash */ + {0, 351, 9, 30052, 70, 1 }, + /* tcId: 327. special case hash */ + {0, 360, 10, 30122, 70, 1 }, + /* tcId: 328. special case hash */ + {0, 370, 10, 30192, 70, 1 }, + /* tcId: 329. special case hash */ + {0, 380, 10, 30262, 70, 1 }, + /* tcId: 330. special case hash */ + {0, 390, 9, 30332, 71, 1 }, + /* tcId: 331. special case hash */ + {0, 399, 11, 30403, 70, 1 }, + /* tcId: 332. special case hash */ + {0, 410, 9, 30473, 71, 1 }, + /* tcId: 333. special case hash */ + {0, 419, 9, 30544, 71, 1 }, + /* tcId: 334. special case hash */ + {0, 428, 11, 30615, 70, 1 }, + /* tcId: 335. special case hash */ + {0, 439, 8, 30685, 71, 1 }, + /* tcId: 336. special case hash */ + {0, 447, 10, 30756, 70, 1 }, + /* tcId: 337. special case hash */ + {0, 457, 10, 30826, 71, 1 }, + /* tcId: 338. special case hash */ + {0, 467, 10, 30897, 70, 1 }, + /* tcId: 339. special case hash */ + {0, 477, 10, 30967, 70, 1 }, + /* tcId: 340. special case hash */ + {0, 487, 10, 31037, 70, 1 }, + /* tcId: 341. special case hash */ + {0, 497, 10, 31107, 71, 1 }, + /* tcId: 342. special case hash */ + {0, 507, 10, 31178, 70, 1 }, + /* tcId: 343. special case hash */ + {0, 517, 10, 31248, 70, 1 }, + /* tcId: 344. special case hash */ + {0, 527, 10, 31318, 71, 1 }, + /* tcId: 345. special case hash */ + {0, 537, 9, 31389, 70, 1 }, + /* tcId: 346. k*G has a large x-coordinate */ + {65, 0, 6, 31459, 24, 1 }, + /* tcId: 347. r too large */ + {65, 0, 6, 31483, 40, 0 }, + /* tcId: 348. r,s are large */ + {130, 0, 6, 31523, 40, 1 }, + /* tcId: 349. r and s^-1 have a large Hamming weight */ + {195, 0, 6, 31563, 70, 1 }, + /* tcId: 350. r and s^-1 have a large Hamming weight */ + {260, 0, 6, 31633, 70, 1 }, + /* tcId: 351. small r and s */ + {325, 0, 6, 31703, 8, 1 }, + /* tcId: 352. small r and s */ + {390, 0, 6, 31711, 8, 1 }, + /* tcId: 353. small r and s */ + {455, 0, 6, 31719, 8, 1 }, + /* tcId: 354. small r and s */ + {520, 0, 6, 31727, 8, 1 }, + /* tcId: 355. small r and s */ + {585, 0, 6, 31735, 8, 1 }, + /* tcId: 356. small r and s */ + {650, 0, 6, 31743, 8, 1 }, + /* tcId: 357. r is larger than n */ + {650, 0, 6, 31751, 40, 0 }, + /* tcId: 358. s is larger than n */ + {715, 0, 6, 31791, 10, 0 }, + /* tcId: 359. small r and s^-1 */ + {780, 0, 6, 31801, 40, 1 }, + /* tcId: 360. smallish r and s^-1 */ + {845, 0, 6, 31841, 45, 1 }, + /* tcId: 361. 100-bit r and small s^-1 */ + {910, 0, 6, 31886, 51, 1 }, + /* tcId: 362. small r and 100 bit s^-1 */ + {975, 0, 6, 31937, 40, 1 }, + /* tcId: 363. 100-bit r and s^-1 */ + {1040, 0, 6, 31977, 51, 1 }, + /* tcId: 364. r and s^-1 are close to n */ + {1105, 0, 6, 32028, 71, 1 }, + /* tcId: 365. r and s are 64-bit integer */ + {1170, 0, 6, 32099, 24, 1 }, + /* tcId: 366. r and s are 100-bit integer */ + {1235, 0, 6, 32123, 32, 1 }, + /* tcId: 367. r and s are 128-bit integer */ + {1300, 0, 6, 32155, 40, 1 }, + /* tcId: 368. r and s are 160-bit integer */ + {1365, 0, 6, 32195, 48, 1 }, + /* tcId: 369. s == 1 */ + {1430, 0, 6, 32243, 39, 1 }, + /* tcId: 370. s == 0 */ + {1430, 0, 6, 32282, 39, 0 }, + /* tcId: 371. edge case modular inverse */ + {1495, 0, 6, 32321, 70, 1 }, + /* tcId: 372. edge case modular inverse */ + {1560, 0, 6, 32391, 70, 1 }, + /* tcId: 373. edge case modular inverse */ + {1625, 0, 6, 32461, 70, 1 }, + /* tcId: 374. edge case modular inverse */ + {1690, 0, 6, 32531, 70, 1 }, + /* tcId: 375. edge case modular inverse */ + {1755, 0, 6, 32601, 70, 1 }, + /* tcId: 376. edge case modular inverse */ + {1820, 0, 6, 32671, 70, 1 }, + /* tcId: 377. edge case modular inverse */ + {1885, 0, 6, 32741, 70, 1 }, + /* tcId: 378. edge case modular inverse */ + {1950, 0, 6, 32811, 70, 1 }, + /* tcId: 379. edge case modular inverse */ + {2015, 0, 6, 32881, 70, 1 }, + /* tcId: 380. edge case modular inverse */ + {2080, 0, 6, 32951, 70, 1 }, + /* tcId: 381. edge case modular inverse */ + {2145, 0, 6, 33021, 70, 1 }, + /* tcId: 382. edge case modular inverse */ + {2210, 0, 6, 33091, 70, 1 }, + /* tcId: 383. edge case modular inverse */ + {2275, 0, 6, 33161, 70, 1 }, + /* tcId: 384. edge case modular inverse */ + {2340, 0, 6, 33231, 70, 1 }, + /* tcId: 385. edge case modular inverse */ + {2405, 0, 6, 33301, 70, 1 }, + /* tcId: 386. point at infinity during verify */ + {2470, 0, 6, 33371, 70, 0 }, + /* tcId: 387. edge case for signature malleability */ + {2535, 0, 6, 33441, 70, 1 }, + /* tcId: 388. edge case for signature malleability */ + {2600, 0, 6, 33511, 70, 0 }, + /* tcId: 389. u1 == 1 */ + {2665, 0, 6, 33581, 70, 1 }, + /* tcId: 390. u1 == n - 1 */ + {2730, 0, 6, 33651, 70, 1 }, + /* tcId: 391. u2 == 1 */ + {2795, 0, 6, 33721, 70, 1 }, + /* tcId: 392. u2 == n - 1 */ + {2860, 0, 6, 33791, 70, 1 }, + /* tcId: 393. edge case for u1 */ + {2925, 0, 6, 33861, 70, 1 }, + /* tcId: 394. edge case for u1 */ + {2990, 0, 6, 33931, 70, 1 }, + /* tcId: 395. edge case for u1 */ + {3055, 0, 6, 34001, 70, 1 }, + /* tcId: 396. edge case for u1 */ + {3120, 0, 6, 34071, 70, 1 }, + /* tcId: 397. edge case for u1 */ + {3185, 0, 6, 34141, 70, 1 }, + /* tcId: 398. edge case for u1 */ + {3250, 0, 6, 34211, 70, 1 }, + /* tcId: 399. edge case for u1 */ + {3315, 0, 6, 34281, 70, 1 }, + /* tcId: 400. edge case for u1 */ + {3380, 0, 6, 34351, 70, 1 }, + /* tcId: 401. edge case for u1 */ + {3445, 0, 6, 34421, 70, 1 }, + /* tcId: 402. edge case for u1 */ + {3510, 0, 6, 34491, 70, 1 }, + /* tcId: 403. edge case for u1 */ + {3575, 0, 6, 34561, 70, 1 }, + /* tcId: 404. edge case for u1 */ + {3640, 0, 6, 34631, 70, 1 }, + /* tcId: 405. edge case for u1 */ + {3705, 0, 6, 34701, 70, 1 }, + /* tcId: 406. edge case for u1 */ + {3770, 0, 6, 34771, 70, 1 }, + /* tcId: 407. edge case for u1 */ + {3835, 0, 6, 34841, 70, 1 }, + /* tcId: 408. edge case for u2 */ + {3900, 0, 6, 34911, 70, 1 }, + /* tcId: 409. edge case for u2 */ + {3965, 0, 6, 34981, 70, 1 }, + /* tcId: 410. edge case for u2 */ + {4030, 0, 6, 35051, 70, 1 }, + /* tcId: 411. edge case for u2 */ + {4095, 0, 6, 35121, 70, 1 }, + /* tcId: 412. edge case for u2 */ + {4160, 0, 6, 35191, 70, 1 }, + /* tcId: 413. edge case for u2 */ + {4225, 0, 6, 35261, 69, 1 }, + /* tcId: 414. edge case for u2 */ + {4290, 0, 6, 35330, 70, 1 }, + /* tcId: 415. edge case for u2 */ + {4355, 0, 6, 35400, 70, 1 }, + /* tcId: 416. edge case for u2 */ + {4420, 0, 6, 35470, 70, 1 }, + /* tcId: 417. edge case for u2 */ + {4485, 0, 6, 35540, 70, 1 }, + /* tcId: 418. edge case for u2 */ + {4550, 0, 6, 35610, 70, 1 }, + /* tcId: 419. edge case for u2 */ + {4615, 0, 6, 35680, 70, 1 }, + /* tcId: 420. edge case for u2 */ + {4680, 0, 6, 35750, 70, 1 }, + /* tcId: 421. edge case for u2 */ + {4745, 0, 6, 35820, 70, 1 }, + /* tcId: 422. edge case for u2 */ + {4810, 0, 6, 35890, 70, 1 }, + /* tcId: 423. point duplication during verification */ + {4875, 0, 6, 35960, 70, 1 }, + /* tcId: 424. duplication bug */ + {4940, 0, 6, 36030, 70, 0 }, + /* tcId: 425. comparison with point at infinity */ + {5005, 0, 6, 36100, 70, 0 }, + /* tcId: 426. extreme value for k and edgecase s */ + {5070, 0, 6, 36170, 71, 1 }, + /* tcId: 427. extreme value for k and s^-1 */ + {5135, 0, 6, 36241, 71, 1 }, + /* tcId: 428. extreme value for k and s^-1 */ + {5200, 0, 6, 36312, 71, 1 }, + /* tcId: 429. extreme value for k and s^-1 */ + {5265, 0, 6, 36383, 71, 1 }, + /* tcId: 430. extreme value for k and s^-1 */ + {5330, 0, 6, 36454, 71, 1 }, + /* tcId: 431. extreme value for k */ + {5395, 0, 6, 36525, 71, 1 }, + /* tcId: 432. extreme value for k and edgecase s */ + {5460, 0, 6, 36596, 70, 1 }, + /* tcId: 433. extreme value for k and s^-1 */ + {5525, 0, 6, 36666, 70, 1 }, + /* tcId: 434. extreme value for k and s^-1 */ + {5590, 0, 6, 36736, 70, 1 }, + /* tcId: 435. extreme value for k and s^-1 */ + {5655, 0, 6, 36806, 70, 1 }, + /* tcId: 436. extreme value for k and s^-1 */ + {5720, 0, 6, 36876, 70, 1 }, + /* tcId: 437. extreme value for k */ + {5785, 0, 6, 36946, 70, 1 }, + /* tcId: 438. public key shares x-coordinate with generator */ + {5850, 0, 6, 37016, 71, 0 }, + /* tcId: 439. public key shares x-coordinate with generator */ + {5850, 0, 6, 37087, 70, 0 }, + /* tcId: 440. public key shares x-coordinate with generator */ + {5915, 0, 6, 37157, 71, 0 }, + /* tcId: 441. public key shares x-coordinate with generator */ + {5915, 0, 6, 37228, 70, 0 }, + /* tcId: 442. pseudorandom signature */ + {5980, 546, 0, 37298, 71, 1 }, + /* tcId: 443. pseudorandom signature */ + {5980, 546, 3, 37369, 70, 1 }, + /* tcId: 444. pseudorandom signature */ + {5980, 0, 6, 37439, 71, 1 }, + /* tcId: 445. pseudorandom signature */ + {5980, 549, 20, 37510, 70, 1 }, + /* tcId: 446. y-coordinate of the public key is small */ + {6045, 569, 7, 37580, 70, 1 }, + /* tcId: 447. y-coordinate of the public key is small */ + {6045, 569, 7, 37650, 70, 1 }, + /* tcId: 448. y-coordinate of the public key is small */ + {6045, 569, 7, 37720, 71, 1 }, + /* tcId: 449. y-coordinate of the public key is large */ + {6110, 569, 7, 37791, 70, 1 }, + /* tcId: 450. y-coordinate of the public key is large */ + {6110, 569, 7, 37861, 71, 1 }, + /* tcId: 451. y-coordinate of the public key is large */ + {6110, 569, 7, 37932, 70, 1 }, + /* tcId: 452. x-coordinate of the public key is small */ + {6175, 569, 7, 38002, 70, 1 }, + /* tcId: 453. x-coordinate of the public key is small */ + {6175, 569, 7, 38072, 71, 1 }, + /* tcId: 454. x-coordinate of the public key is small */ + {6175, 569, 7, 38143, 71, 1 }, + /* tcId: 455. x-coordinate of the public key has many trailing 1's */ + {6240, 569, 7, 38214, 70, 1 }, + /* tcId: 456. x-coordinate of the public key has many trailing 1's */ + {6240, 569, 7, 38284, 71, 1 }, + /* tcId: 457. x-coordinate of the public key has many trailing 1's */ + {6240, 569, 7, 38355, 71, 1 }, + /* tcId: 458. y-coordinate of the public key has many trailing 1's */ + {6305, 569, 7, 38426, 70, 1 }, + /* tcId: 459. y-coordinate of the public key has many trailing 1's */ + {6305, 569, 7, 38496, 71, 1 }, + /* tcId: 460. y-coordinate of the public key has many trailing 1's */ + {6305, 569, 7, 38567, 71, 1 }, + /* tcId: 461. x-coordinate of the public key has many trailing 0's */ + {6370, 569, 7, 38638, 70, 1 }, + /* tcId: 462. x-coordinate of the public key has many trailing 0's */ + {6370, 569, 7, 38708, 70, 1 }, + /* tcId: 463. x-coordinate of the public key has many trailing 0's */ + {6370, 569, 7, 38778, 71, 1 }, + +}; diff --git a/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json b/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json new file mode 100644 index 00000000..9c907479 --- /dev/null +++ b/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json @@ -0,0 +1,6360 @@ +{ + "algorithm" : "ECDSA", + "schema" : "ecdsa_bitcoin_verify_schema.json", + "generatorVersion" : "0.9rc5", + "numberOfTests" : 463, + "header" : [ + "Test vectors of type EcdsaBitcoinVerify are meant for the verification", + "of a ECDSA variant used for bitcoin, that add signature non-malleability." + ], + "notes" : { + "ArithmeticError" : { + "bugType" : "EDGE_CASE", + "description" : "Some implementations of ECDSA have arithmetic errors that occur when intermediate results have extreme values. This test vector has been constructed to test such occurences.", + "cves" : [ + "CVE-2017-18146" + ] + }, + "BerEncodedSignature" : { + "bugType" : "BER_ENCODING", + "description" : "ECDSA signatures are usually DER encoded. This signature contains valid values for r and s, but it uses alternative BER encoding.", + "effect" : "Accepting alternative BER encodings may be benign in some cases, or be an issue if protocol requires signature malleability.", + "cves" : [ + "CVE-2020-14966", + "CVE-2020-13822", + "CVE-2019-14859", + "CVE-2016-1000342" + ] + }, + "EdgeCasePublicKey" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector uses a special case public key. " + }, + "EdgeCaseShamirMultiplication" : { + "bugType" : "EDGE_CASE", + "description" : "Shamir proposed a fast method for computing the sum of two scalar multiplications efficiently. This test vector has been constructed so that an intermediate result is the point at infinity if Shamir's method is used." + }, + "IntegerOverflow" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified, so that the original value is restored if the implementation ignores the most significant bits.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "InvalidEncoding" : { + "bugType" : "CAN_OF_WORMS", + "description" : "ECDSA signatures are encoded using ASN.1. This test vector contains an incorrectly encoded signature. The test vector itself was generated from a valid signature by modifying its encoding.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "InvalidSignature" : { + "bugType" : "AUTH_BYPASS", + "description" : "The signature contains special case values such as r=0 and s=0. Buggy implementations may accept such values, if the implementation does not check boundaries and computes s^(-1) == 0.", + "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.", + "cves" : [ + "CVE-2022-21449", + "CVE-2021-43572", + "CVE-2022-24884" + ] + }, + "InvalidTypesInSignature" : { + "bugType" : "AUTH_BYPASS", + "description" : "The signature contains invalid types. Dynamic typed languages sometime coerce such values of different types into integers. If an implementation is careless and has additional bugs, such as not checking integer boundaries then it may be possible that such signatures are accepted.", + "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.", + "cves" : [ + "CVE-2022-21449" + ] + }, + "ModifiedInteger" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified. The goal is to check for arithmetic errors.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "ModifiedSignature" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an invalid signature that was generated from a valid signature by modifying it.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "ModularInverse" : { + "bugType" : "EDGE_CASE", + "description" : "The test vectors contains a signature where computing the modular inverse of s hits an edge case.", + "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.", + "cves" : [ + "CVE-2019-0865" + ] + }, + "PointDuplication" : { + "bugType" : "EDGE_CASE", + "description" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.", + "cves" : [ + "2020-12607", + "CVE-2015-2730" + ] + }, + "RangeCheck" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified. By adding or subtracting the order of the group (or other values) the test vector checks whether signature verification verifies the range of r and s.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "SignatureMalleabilityBitcoin" : { + "bugType" : "SIGNATURE_MALLEABILITY", + "description" : "\"BitCoins\"-curves are curves where signature malleability can be a serious issue. An implementation should only accept a signature s where s < n/2. If an implementation is not meant for uses cases that require signature malleability then this implemenation should be tested with another set of test vectors.", + "effect" : "In bitcoin exchanges, it may be used to make a double deposits or double withdrawals", + "links" : [ + "https://en.bitcoin.it/wiki/Transaction_malleability", + "https://en.bitcoinwiki.org/wiki/Transaction_Malleability" + ] + }, + "SmallRandS" : { + "bugType" : "EDGE_CASE", + "description" : "The test vectors contains a signature where both r and s are small integers. Some libraries cannot verify such signatures.", + "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.", + "cves" : [ + "2020-13895" + ] + }, + "SpecialCaseHash" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains a signature where the hash of the message is a special case, e.g., contains a long run of 0 or 1 bits." + }, + "ValidSignature" : { + "bugType" : "BASIC", + "description" : "The test vector contains a valid signature that was generated pseudorandomly. Such signatures should not fail to verify unless some of the parameters (e.g. curve or hash function) are not supported." + } + }, + "testGroups" : [ + { + "type" : "EcdsaBitcoinVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f", + "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----\n", + "sha" : 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"3045022100f6b0e2f6fe020cf7c0c20137434344ed7add6c4be51861e2d14cbda472a6ffb402206416c8dd3e5c5282b306e8dc8ff34ab64cc99549232d678d714402eb6ca7aa0f", + "result" : "valid" + }, + { + "tcId" : 457, + "comment" : "x-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100db09d8460f05eff23bc7e436b67da563fa4b4edb58ac24ce201fa8a358125057022046da116754602940c8999c8d665f786c50f5772c0a3cdbda075e77eabc64df16", + "result" : "valid" + } + ] + }, + { + "type" : "EcdsaBitcoinVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9", + "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 458, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "30440220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b802203e65a06bd9f83caaeb7b00f2368d7e0dece6b12221269a9b5b765198f840a3a1", + "result" : "valid" + }, + { + "tcId" : 459, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b202207d994b2d8f1dbbeb13534eb3f6e5dccd85f5c4133c27d9e64271b1826ce1f67d", + "result" : "valid" + }, + { + "tcId" : 460, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02206c9ba37f9faa6a1fd3f65f23b4e853d4692a7274240a12db7ba3884830630d16", + "result" : "valid" + } + ] + }, + { + "type" : "EcdsaBitcoinVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000", + "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 461, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "30440220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a94302201291df6a0ed5fc0d15098e70bcf13a009284dfd0689d3bb4be6ceeb9be1487c4", + "result" : "valid" + }, + { + "tcId" : 462, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3044022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c20220427f7e4d889d549170bda6a9409fb1cb8b0e763d13eea7bd97f64cf41dc6e497", + "result" : "valid" + }, + { + "tcId" : 463, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae02201a4dd6fc0814dc523d1fefa81c64fbf5e618e651e7096fccadbb94cd48e5e0cd", + "result" : "valid" + } + ] + } + ] +} diff --git a/src/secp256k1/travis/build_autotools.sh b/src/secp256k1/travis/build_autotools.sh deleted file mode 100755 index 3fb93dee..00000000 --- a/src/secp256k1/travis/build_autotools.sh +++ /dev/null @@ -1,38 +0,0 @@ -#!/usr/bin/env bash - -export LC_ALL=C - -set -ex - -if [ -n "$HOST" ]; then - USE_HOST="--host=$HOST" -fi - -if [ "x$HOST" = "xi686-linux-gnu" ]; then - CC="$CC -m32" -fi - -./autogen.sh - -mkdir buildautotools -pushd buildautotools - -../configure \ - --enable-experimental=$EXPERIMENTAL \ - --enable-endomorphism=$ENDOMORPHISM \ - --with-field=$FIELD \ - --with-bignum=$BIGNUM \ - --with-scalar=$SCALAR \ - --enable-ecmult-static-precomputation=$STATICPRECOMPUTATION \ - --with-ecmult-gen-precision=$ECMULTGENPRECISION \ - --enable-module-ecdh=$ECDH \ - --enable-module-multiset=$MULTISET \ - --enable-module-recovery=$RECOVERY \ - --enable-module-schnorr=$SCHNORR \ - --enable-jni=$JNI \ - $AUTOTOOLS_EXTRA_FLAGS \ - $USE_HOST - -make -j2 $AUTOTOOLS_TARGET - -popd diff --git a/src/secp256k1/travis/build_cmake.sh b/src/secp256k1/travis/build_cmake.sh deleted file mode 100755 index df80a1eb..00000000 --- a/src/secp256k1/travis/build_cmake.sh +++ /dev/null @@ -1,44 +0,0 @@ -#!/usr/bin/env bash - -export LC_ALL=C - -set -ex - -if [ "x$HOST" = "xi686-linux-gnu" ]; then - CMAKE_EXTRA_FLAGS="$CMAKE_EXTRA_FLAGS -DCMAKE_C_FLAGS=-m32" -fi - -# "auto" is not a valid value for SECP256K1_ECMULT_GEN_PRECISION with cmake. -# In this case we use the default value instead by not setting the cache -# variable on the cmake command line. -if [ "x$ECMULTGENPRECISION" != "xauto" ]; then - ECMULT_GEN_PRECISION_ARG="-DSECP256K1_ECMULT_GEN_PRECISION=$ECMULTGENPRECISION" -fi - -mkdir -p buildcmake/install -pushd buildcmake - -# Use the cmake version installed via APT instead of the Travis custom one. -CMAKE_COMMAND=/usr/bin/cmake -${CMAKE_COMMAND} --version - -${CMAKE_COMMAND} -GNinja .. \ - -DCMAKE_INSTALL_PREFIX=install \ - -DSECP256K1_ECMULT_STATIC_PRECOMPUTATION=$STATICPRECOMPUTATION \ - -DSECP256K1_ECMULT_GEN_PRECISION=$ECMULTGENPRECISION \ - -DSECP256K1_ENABLE_MODULE_ECDH=$ECDH \ - -DSECP256K1_ENABLE_MODULE_MULTISET=$MULTISET \ - -DSECP256K1_ENABLE_MODULE_RECOVERY=$RECOVERY \ - -DSECP256K1_ENABLE_MODULE_SCHNORR=$SCHNORR \ - -DSECP256K1_ENABLE_JNI=$JNI \ - -DSECP256K1_ENABLE_ENDOMORPHISM=$ENDOMORPHISM \ - -DSECP256K1_ENABLE_BIGNUM=$BIGNUM \ - -DUSE_ASM_X86_64=$ASM \ - -DUSE_FIELD=$FIELD \ - -DUSE_SCALAR=$SCALAR \ - $ECMULT_GEN_PRECISION_ARG \ - $CMAKE_EXTRA_FLAGS - -ninja $CMAKE_TARGET - -popd diff --git a/src/secp256k1/travis/install_cmake.sh b/src/secp256k1/travis/install_cmake.sh deleted file mode 100755 index 09657488..00000000 --- a/src/secp256k1/travis/install_cmake.sh +++ /dev/null @@ -1,15 +0,0 @@ -#!/usr/bin/env bash - -export LC_ALL=C - -set -euxo pipefail - -# Fetch Kitware signing key -wget -O - https://apt.kitware.com/keys/kitware-archive-latest.asc 2>/dev/null | sudo apt-key add - - -# Add the Kitware PPA -sudo apt-add-repository 'deb https://apt.kitware.com/ubuntu/ xenial main' -sudo apt-get update - -# Install cmake -sudo apt-get -y install cmake