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| 1 | +template <typename HESSIAN> |
| 2 | +struct Anchor { |
| 3 | + static constexpr size_t PositionSize = 3; |
| 4 | + static std::string description() { return "mathkernel-anchor"; }; |
| 5 | +void energy(double ka, double xa, double ya, double za, size_t i3x1, double* position, double* energy_accumulate, double* force, HESSIAN hessian, double* dvec, double* hdvec) { |
| 6 | + /* !BASE */ |
| 7 | + double dx; |
| 8 | + double dy; |
| 9 | + double dz; |
| 10 | + double energy; |
| 11 | + double r2; |
| 12 | + DOUBLE x1 = position[i3x1 + 0]; |
| 13 | + DOUBLE y1 = position[i3x1 + 1]; |
| 14 | + DOUBLE z1 = position[i3x1 + 2]; |
| 15 | + { |
| 16 | + /* !BASE */ |
| 17 | + dx = (x1 + (-(xa))); |
| 18 | + dy = (y1 + (-(ya))); |
| 19 | + dz = (z1 + (-(za))); |
| 20 | + r2 = ((dx * dx) + (dy * dy) + (dz * dz)); |
| 21 | + energy = (ka * r2); |
| 22 | + *energy_accumulate += energy; |
| 23 | + } |
| 24 | +} |
| 25 | +void energy_fd(double ka, double xa, double ya, double za, size_t i3x1, double* position, double* energy_accumulate, double* force, HESSIAN hessian, double* dvec, double* hdvec) |
| 26 | +{ |
| 27 | + energy(ka, xa, ya, za, i3x1, position, energy_accumulate, force, hessian, dvec, hdvec); |
| 28 | +} |
| 29 | + |
| 30 | +void gradient(double ka, double xa, double ya, double za, size_t i3x1, double* position, double* energy_accumulate, double* force, HESSIAN hessian, double* dvec, double* hdvec) { |
| 31 | + /* !BASE */ |
| 32 | + double cse_p1_t1_g16996; |
| 33 | + double dx; |
| 34 | + double dy; |
| 35 | + double dz; |
| 36 | + double energy; |
| 37 | + double g_x1; |
| 38 | + double g_y1; |
| 39 | + double g_z1; |
| 40 | + double r2; |
| 41 | + DOUBLE x1 = position[i3x1 + 0]; |
| 42 | + DOUBLE y1 = position[i3x1 + 1]; |
| 43 | + DOUBLE z1 = position[i3x1 + 2]; |
| 44 | + { |
| 45 | + /* !BASE */ |
| 46 | + dx = (x1 + (-(xa))); |
| 47 | + dy = (y1 + (-(ya))); |
| 48 | + dz = (z1 + (-(za))); |
| 49 | + r2 = ((dx * dx) + (dy * dy) + (dz * dz)); |
| 50 | + energy = (ka * r2); |
| 51 | + *energy_accumulate += energy; |
| 52 | + cse_p1_t1_g16996 = (2.0000000000000000 * ka); |
| 53 | + g_x1 = (cse_p1_t1_g16996 * dx); |
| 54 | + KernelGradientAcc(i3x1, 0, g_x1); |
| 55 | + g_y1 = (cse_p1_t1_g16996 * dy); |
| 56 | + KernelGradientAcc(i3x1, 1, g_y1); |
| 57 | + g_z1 = (cse_p1_t1_g16996 * dz); |
| 58 | + KernelGradientAcc(i3x1, 2, g_z1); |
| 59 | + } |
| 60 | +} |
| 61 | +void gradient_fd(double ka, double xa, double ya, double za, size_t i3x1, double* position, double* energy_accumulate, double* force, HESSIAN hessian, double* dvec, double* hdvec) |
| 62 | +{ |
| 63 | + constexpr size_t PositionSize = 3; |
| 64 | + const double h = 1.0e-5; |
| 65 | + const double inv2h = 1.0/(2.0*h); |
| 66 | + double e0 = 0.0; |
| 67 | + energy(ka, xa, ya, za, i3x1, position, &e0, 0, 0, 0, 0); |
| 68 | + if (energy_accumulate) { *energy_accumulate += e0; } |
| 69 | + { |
| 70 | + double saved = position[i3x1 + 0]; |
| 71 | + double e_plus = 0.0; |
| 72 | + double e_minus = 0.0; |
| 73 | + position[i3x1 + 0] = saved + h; |
| 74 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 75 | + position[i3x1 + 0] = saved - h; |
| 76 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 77 | + position[i3x1 + 0] = saved; |
| 78 | + double d = (e_plus - e_minus) * inv2h; |
| 79 | + KernelGradientAcc(i3x1, 0, d); |
| 80 | + } |
| 81 | + { |
| 82 | + double saved = position[i3x1 + 1]; |
| 83 | + double e_plus = 0.0; |
| 84 | + double e_minus = 0.0; |
| 85 | + position[i3x1 + 1] = saved + h; |
| 86 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 87 | + position[i3x1 + 1] = saved - h; |
| 88 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 89 | + position[i3x1 + 1] = saved; |
| 90 | + double d = (e_plus - e_minus) * inv2h; |
| 91 | + KernelGradientAcc(i3x1, 1, d); |
| 92 | + } |
| 93 | + { |
| 94 | + double saved = position[i3x1 + 2]; |
| 95 | + double e_plus = 0.0; |
| 96 | + double e_minus = 0.0; |
| 97 | + position[i3x1 + 2] = saved + h; |
| 98 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 99 | + position[i3x1 + 2] = saved - h; |
| 100 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 101 | + position[i3x1 + 2] = saved; |
| 102 | + double d = (e_plus - e_minus) * inv2h; |
| 103 | + KernelGradientAcc(i3x1, 2, d); |
| 104 | + } |
| 105 | +} |
| 106 | + |
| 107 | +void hessian(double ka, double xa, double ya, double za, size_t i3x1, double* position, double* energy_accumulate, double* force, HESSIAN hessian, double* dvec, double* hdvec) { |
| 108 | + /* !BASE */ |
| 109 | + double cse_p1_t1_g16997; |
| 110 | + double dx; |
| 111 | + double dy; |
| 112 | + double dz; |
| 113 | + double energy; |
| 114 | + double g_x1; |
| 115 | + double g_y1; |
| 116 | + double g_z1; |
| 117 | + double r2; |
| 118 | + DOUBLE x1 = position[i3x1 + 0]; |
| 119 | + DOUBLE y1 = position[i3x1 + 1]; |
| 120 | + DOUBLE z1 = position[i3x1 + 2]; |
| 121 | + { |
| 122 | + /* !BASE */ |
| 123 | + dx = (x1 + (-(xa))); |
| 124 | + dy = (y1 + (-(ya))); |
| 125 | + dz = (z1 + (-(za))); |
| 126 | + r2 = ((dx * dx) + (dy * dy) + (dz * dz)); |
| 127 | + energy = (ka * r2); |
| 128 | + *energy_accumulate += energy; |
| 129 | + cse_p1_t1_g16997 = (2.0000000000000000 * ka); |
| 130 | + g_x1 = (cse_p1_t1_g16997 * dx); |
| 131 | + KernelGradientAcc(i3x1, 0, g_x1); |
| 132 | + g_y1 = (cse_p1_t1_g16997 * dy); |
| 133 | + KernelGradientAcc(i3x1, 1, g_y1); |
| 134 | + g_z1 = (cse_p1_t1_g16997 * dz); |
| 135 | + KernelGradientAcc(i3x1, 2, g_z1); |
| 136 | + } |
| 137 | +} |
| 138 | +void hessian_fd(double ka, double xa, double ya, double za, size_t i3x1, double* position, double* energy_accumulate, double* force, HESSIAN hessian, double* dvec, double* hdvec) |
| 139 | +{ |
| 140 | + constexpr size_t PositionSize = 3; |
| 141 | + const double h = 1.0e-5; |
| 142 | + const double inv2h = 1.0/(2.0*h); |
| 143 | + const double invh2 = 1.0/((h*h)); |
| 144 | + double e0 = 0.0; |
| 145 | + energy(ka, xa, ya, za, i3x1, position, &e0, 0, 0, 0, 0); |
| 146 | + if (energy_accumulate) { *energy_accumulate += e0; } |
| 147 | + { |
| 148 | + double saved = position[i3x1 + 0]; |
| 149 | + double e_plus = 0.0; |
| 150 | + double e_minus = 0.0; |
| 151 | + position[i3x1 + 0] = saved + h; |
| 152 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 153 | + position[i3x1 + 0] = saved - h; |
| 154 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 155 | + position[i3x1 + 0] = saved; |
| 156 | + double d = (e_plus - e_minus) * inv2h; |
| 157 | + KernelGradientAcc(i3x1, 0, d); |
| 158 | + } |
| 159 | + { |
| 160 | + double saved = position[i3x1 + 1]; |
| 161 | + double e_plus = 0.0; |
| 162 | + double e_minus = 0.0; |
| 163 | + position[i3x1 + 1] = saved + h; |
| 164 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 165 | + position[i3x1 + 1] = saved - h; |
| 166 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 167 | + position[i3x1 + 1] = saved; |
| 168 | + double d = (e_plus - e_minus) * inv2h; |
| 169 | + KernelGradientAcc(i3x1, 1, d); |
| 170 | + } |
| 171 | + { |
| 172 | + double saved = position[i3x1 + 2]; |
| 173 | + double e_plus = 0.0; |
| 174 | + double e_minus = 0.0; |
| 175 | + position[i3x1 + 2] = saved + h; |
| 176 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 177 | + position[i3x1 + 2] = saved - h; |
| 178 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 179 | + position[i3x1 + 2] = saved; |
| 180 | + double d = (e_plus - e_minus) * inv2h; |
| 181 | + KernelGradientAcc(i3x1, 2, d); |
| 182 | + } |
| 183 | + { |
| 184 | + double saved = position[i3x1 + 0]; |
| 185 | + double e_plus = 0.0; |
| 186 | + double e_minus = 0.0; |
| 187 | + position[i3x1 + 0] = saved + h; |
| 188 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 189 | + position[i3x1 + 0] = saved - h; |
| 190 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 191 | + position[i3x1 + 0] = saved; |
| 192 | + double hval = (e_plus + e_minus - (2.0*e0)) * invh2; |
| 193 | + KernelHessDiagAcc( PositionSize, hessian, dvec, hdvec, i3x1, 0, i3x1, 0, hval); |
| 194 | + } |
| 195 | + { |
| 196 | + double saved = position[i3x1 + 1]; |
| 197 | + double e_plus = 0.0; |
| 198 | + double e_minus = 0.0; |
| 199 | + position[i3x1 + 1] = saved + h; |
| 200 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 201 | + position[i3x1 + 1] = saved - h; |
| 202 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 203 | + position[i3x1 + 1] = saved; |
| 204 | + double hval = (e_plus + e_minus - (2.0*e0)) * invh2; |
| 205 | + KernelHessDiagAcc( PositionSize, hessian, dvec, hdvec, i3x1, 1, i3x1, 1, hval); |
| 206 | + } |
| 207 | + { |
| 208 | + double saved = position[i3x1 + 2]; |
| 209 | + double e_plus = 0.0; |
| 210 | + double e_minus = 0.0; |
| 211 | + position[i3x1 + 2] = saved + h; |
| 212 | + energy(ka, xa, ya, za, i3x1, position, &e_plus, 0, 0, 0, 0); |
| 213 | + position[i3x1 + 2] = saved - h; |
| 214 | + energy(ka, xa, ya, za, i3x1, position, &e_minus, 0, 0, 0, 0); |
| 215 | + position[i3x1 + 2] = saved; |
| 216 | + double hval = (e_plus + e_minus - (2.0*e0)) * invh2; |
| 217 | + KernelHessDiagAcc( PositionSize, hessian, dvec, hdvec, i3x1, 2, i3x1, 2, hval); |
| 218 | + } |
| 219 | + { |
| 220 | + double saved_i = position[i3x1 + 1]; |
| 221 | + double saved_j = position[i3x1 + 0]; |
| 222 | + double e_pp = 0.0; |
| 223 | + double e_pm = 0.0; |
| 224 | + double e_mp = 0.0; |
| 225 | + double e_mm = 0.0; |
| 226 | + position[i3x1 + 1] = saved_i + h; position[i3x1 + 0] = saved_j + h; |
| 227 | + energy(ka, xa, ya, za, i3x1, position, &e_pp, 0, 0, 0, 0); |
| 228 | + position[i3x1 + 0] = saved_j - h; |
| 229 | + energy(ka, xa, ya, za, i3x1, position, &e_pm, 0, 0, 0, 0); |
| 230 | + position[i3x1 + 1] = saved_i - h; position[i3x1 + 0] = saved_j + h; |
| 231 | + energy(ka, xa, ya, za, i3x1, position, &e_mp, 0, 0, 0, 0); |
| 232 | + position[i3x1 + 0] = saved_j - h; |
| 233 | + energy(ka, xa, ya, za, i3x1, position, &e_mm, 0, 0, 0, 0); |
| 234 | + position[i3x1 + 1] = saved_i; position[i3x1 + 0] = saved_j; |
| 235 | + double hval = (e_pp - e_pm - e_mp + e_mm) * (0.25*invh2); |
| 236 | + KernelHessOffDiagAcc( PositionSize, hessian, dvec, hdvec, i3x1, 1, i3x1, 0, hval); |
| 237 | + } |
| 238 | + { |
| 239 | + double saved_i = position[i3x1 + 2]; |
| 240 | + double saved_j = position[i3x1 + 0]; |
| 241 | + double e_pp = 0.0; |
| 242 | + double e_pm = 0.0; |
| 243 | + double e_mp = 0.0; |
| 244 | + double e_mm = 0.0; |
| 245 | + position[i3x1 + 2] = saved_i + h; position[i3x1 + 0] = saved_j + h; |
| 246 | + energy(ka, xa, ya, za, i3x1, position, &e_pp, 0, 0, 0, 0); |
| 247 | + position[i3x1 + 0] = saved_j - h; |
| 248 | + energy(ka, xa, ya, za, i3x1, position, &e_pm, 0, 0, 0, 0); |
| 249 | + position[i3x1 + 2] = saved_i - h; position[i3x1 + 0] = saved_j + h; |
| 250 | + energy(ka, xa, ya, za, i3x1, position, &e_mp, 0, 0, 0, 0); |
| 251 | + position[i3x1 + 0] = saved_j - h; |
| 252 | + energy(ka, xa, ya, za, i3x1, position, &e_mm, 0, 0, 0, 0); |
| 253 | + position[i3x1 + 2] = saved_i; position[i3x1 + 0] = saved_j; |
| 254 | + double hval = (e_pp - e_pm - e_mp + e_mm) * (0.25*invh2); |
| 255 | + KernelHessOffDiagAcc( PositionSize, hessian, dvec, hdvec, i3x1, 2, i3x1, 0, hval); |
| 256 | + } |
| 257 | + { |
| 258 | + double saved_i = position[i3x1 + 2]; |
| 259 | + double saved_j = position[i3x1 + 1]; |
| 260 | + double e_pp = 0.0; |
| 261 | + double e_pm = 0.0; |
| 262 | + double e_mp = 0.0; |
| 263 | + double e_mm = 0.0; |
| 264 | + position[i3x1 + 2] = saved_i + h; position[i3x1 + 1] = saved_j + h; |
| 265 | + energy(ka, xa, ya, za, i3x1, position, &e_pp, 0, 0, 0, 0); |
| 266 | + position[i3x1 + 1] = saved_j - h; |
| 267 | + energy(ka, xa, ya, za, i3x1, position, &e_pm, 0, 0, 0, 0); |
| 268 | + position[i3x1 + 2] = saved_i - h; position[i3x1 + 1] = saved_j + h; |
| 269 | + energy(ka, xa, ya, za, i3x1, position, &e_mp, 0, 0, 0, 0); |
| 270 | + position[i3x1 + 1] = saved_j - h; |
| 271 | + energy(ka, xa, ya, za, i3x1, position, &e_mm, 0, 0, 0, 0); |
| 272 | + position[i3x1 + 2] = saved_i; position[i3x1 + 1] = saved_j; |
| 273 | + double hval = (e_pp - e_pm - e_mp + e_mm) * (0.25*invh2); |
| 274 | + KernelHessOffDiagAcc( PositionSize, hessian, dvec, hdvec, i3x1, 2, i3x1, 1, hval); |
| 275 | + } |
| 276 | +} |
| 277 | + |
| 278 | +}; |
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