A modular-exponentiation visualizer that generates repeating sequences and maps them into dynamic ASCII animations.
Note
Incomplete. Create a pull request or submit issues if you see them.
Toggle C++ CLI Info
- Pure C++ (no GMP required)
- Cross-platform: Windows, macOS, Linux
- Three visual modes:
- Oscilloscope (waveform trace)
- Lissajous (dual-axis curve)
- Plasma (ASCII shaded field)
- Interactive menu for:
- Base & modulo adjustment
- Sequence inspection
- Animation start/stop
- Settings: animation speed, canvas size, and mode
- Toggle sequence creation report display
- g++ 7+ (C++17 capable) or MSVC 2019+
g++ -I ./ *.cpp -o mod-exp- `./mod-exp` (Linux)
- `.\mod-exp.exe` (Windows)
When started, the program initializes with:
- `base = 2`
- `modulo = 61`
- base = 2, mod = 11 → period 10
- base = 2, mod = 13 → period 12
- base = 2, mod = 19 → period 18 (2^9 ≡ −1, so full order 18)
- base = 2, mod = 29 → period 28 (2^14 ≡ −1 → full order 28)
- base = 2, mod = 61 → period 60 (2^30 ≡ −1 → full order 60)
- base = 3, mod = 31 → period 30 (3^15 ≡ −1 → full order 30)
- base = 5, mod = 23 → period 22 (5^11 ≡ −1 → full order 22)
1. Set base
2. Set modulo
3. Show sequence
4. Start/Stop visual
5. Toggle sequence report
6. Settings (speed, size, mode)
7. Exit
- Animation speed: set frame delay in ms (default 40)
- Canvas size: width & height (min 40x16)
- Mode: 1=Oscilloscope, 2=Lissajous, 3=Plasma
- Switch modes via Settings
- Start and stop the animation from the menu with option `4`
- Performance: The visual runs at ~100 FPS by default.
- Terminal size: Make sure your console window is large enough to fit the chosen canvas size.
- Compatibility: On Windows, VT/ANSI sequences are auto-enabled.
Using:
- Mode: 3
- Size: 100x300 (W x H)
- Base: 2
- Modulo: 61
- Partials: 24
Single frame snapshot during runtime:
Toggle Snapshot
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8&W#abmLXx/1]_<i!lII;;;;;IIIlllllllII;::,^^``'''............'''``^,:;Il!><~+__----???????]][}{)|/fxu
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