如何用C语言画一个高逼格的"心形"?
#include <stdio.h> int main() { for (float y = 1.5f; y > -1.5f; y -= 0.1f) { for (float x = -1.5f; x < 1.5f; x += 0.05f) { float a = x * x + y * y - 1; putchar(a * a * a - x * x * y * y * y <= 0.0f ? * : ); } putchar( ); } }
再来个有花纹的。(这其实是该函数的Level set)
#include <stdio.h> int main() { for (float y = 1.5f; y > -1.5f; y -= 0.1f) { for (float x = -1.5f; x < 1.5f; x += 0.05f) { float z = x * x + y * y - 1; float f = z * z * z - x * x * y * y * y; putchar(f <= 0.0f ? ".:-=+*#%@"[(int)(f * -8.0f)] : ); } putchar( ); } }
简单使用迭代法求解,用Finite difference求法矢量,用wrapped diffuse着色。
#include <stdio.h> #include <math.h> float f(float x, float y, float z) { float a = x * x + 9.0f / 4.0f * y * y + z * z - 1; return a * a * a - x * x * z * z * z - 9.0f / 80.0f * y * y * z * z * z; } float h(float x, float z) { for (float y = 1.0f; y >= 0.0f; y -= 0.001f) if (f(x, y, z) <= 0.0f) return y; return 0.0f; } int main() { for (float z = 1.5f; z > -1.5f; z -= 0.05f) { for (float x = -1.5f; x < 1.5f; x += 0.025f) { float v = f(x, 0.0f, z); if (v <= 0.0f) { float y0 = h(x, z); float ny = 0.01f; float nx = h(x + ny, z) - y0; float nz = h(x, z + ny) - y0; float nd = 1.0f / sqrtf(nx * nx + ny * ny + nz * nz); float d = (nx + ny - nz) * nd * 0.5f + 0.5f; putchar(".:-=+*#%@"[(int)(d * 5.0f)]); } else putchar( ); } putchar( ); } }
「3D」版,简单使用迭代法求解,用求法矢量,用wrapped diffuse着色。
#include <stdio.h> #include <math.h> float f(float x, float y, float z) { float a = x * x + 9.0f / 4.0f * y * y + z * z - 1; return a * a * a - x * x * z * z * z - 9.0f / 80.0f * y * y * z * z * z; } float h(float x, float z) { for (float y = 1.0f; y >= 0.0f; y -= 0.001f) if (f(x, y, z) <= 0.0f) return y; return 0.0f; } int main() { for (float z = 1.5f; z > -1.5f; z -= 0.05f) { for (float x = -1.5f; x < 1.5f; x += 0.025f) { float v = f(x, 0.0f, z); if (v <= 0.0f) { float y0 = h(x, z); float ny = 0.01f; float nx = h(x + ny, z) - y0; float nz = h(x, z + ny) - y0; float nd = 1.0f / sqrtf(nx * nx + ny * ny + nz * nz); float d = (nx + ny - nz) * nd * 0.5f + 0.5f; putchar(".:-=+*#%@"[(int)(d * 5.0f)]); } else putchar( ); } putchar( ); } }
把「3D版」输出至PPM文件,可以用Photoshop打开。另外降低了ny的值导致有超有趣的pattern,就保留下来吧。