429 lines
18 KiB
C
429 lines
18 KiB
C
// stb_perlin.h - v0.5 - perlin noise
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// public domain single-file C implementation by Sean Barrett
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//
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// LICENSE
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//
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// See end of file.
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//
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//
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// to create the implementation,
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// #define STB_PERLIN_IMPLEMENTATION
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// in *one* C/CPP file that includes this file.
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//
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//
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// Documentation:
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//
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// float stb_perlin_noise3( float x,
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// float y,
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// float z,
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// int x_wrap=0,
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// int y_wrap=0,
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// int z_wrap=0)
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//
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// This function computes a random value at the coordinate (x,y,z).
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// Adjacent random values are continuous but the noise fluctuates
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// its randomness with period 1, i.e. takes on wholly unrelated values
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// at integer points. Specifically, this implements Ken Perlin's
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// revised noise function from 2002.
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//
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// The "wrap" parameters can be used to create wraparound noise that
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// wraps at powers of two. The numbers MUST be powers of two. Specify
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// 0 to mean "don't care". (The noise always wraps every 256 due
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// details of the implementation, even if you ask for larger or no
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// wrapping.)
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//
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// float stb_perlin_noise3_seed( float x,
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// float y,
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// float z,
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// int x_wrap=0,
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// int y_wrap=0,
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// int z_wrap=0,
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// int seed)
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//
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// As above, but 'seed' selects from multiple different variations of the
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// noise function. The current implementation only uses the bottom 8 bits
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// of 'seed', but possibly in the future more bits will be used.
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//
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//
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// Fractal Noise:
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//
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// Three common fractal noise functions are included, which produce
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// a wide variety of nice effects depending on the parameters
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// provided. Note that each function will call stb_perlin_noise3
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// 'octaves' times, so this parameter will affect runtime.
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//
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// float stb_perlin_ridge_noise3(float x, float y, float z,
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// float lacunarity, float gain, float offset, int octaves)
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//
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// float stb_perlin_fbm_noise3(float x, float y, float z,
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// float lacunarity, float gain, int octaves)
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//
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// float stb_perlin_turbulence_noise3(float x, float y, float z,
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// float lacunarity, float gain, int octaves)
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//
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// Typical values to start playing with:
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// octaves = 6 -- number of "octaves" of noise3() to sum
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// lacunarity = ~ 2.0 -- spacing between successive octaves (use exactly 2.0 for wrapping output)
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// gain = 0.5 -- relative weighting applied to each successive octave
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// offset = 1.0? -- used to invert the ridges, may need to be larger, not sure
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//
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//
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// Contributors:
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// Jack Mott - additional noise functions
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// Jordan Peck - seeded noise
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//
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#ifdef __cplusplus
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extern "C" {
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#endif
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extern float stb_perlin_noise3(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap);
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extern float stb_perlin_noise3_seed(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, int seed);
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extern float stb_perlin_ridge_noise3(float x, float y, float z, float lacunarity, float gain, float offset, int octaves);
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extern float stb_perlin_fbm_noise3(float x, float y, float z, float lacunarity, float gain, int octaves);
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extern float stb_perlin_turbulence_noise3(float x, float y, float z, float lacunarity, float gain, int octaves);
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extern float stb_perlin_noise3_wrap_nonpow2(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, unsigned char seed);
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#ifdef __cplusplus
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}
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#endif
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#ifdef STB_PERLIN_IMPLEMENTATION
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#include <math.h> // fabs()
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// not same permutation table as Perlin's reference to avoid copyright issues;
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// Perlin's table can be found at http://mrl.nyu.edu/~perlin/noise/
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static unsigned char stb__perlin_randtab[512] =
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{
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23, 125, 161, 52, 103, 117, 70, 37, 247, 101, 203, 169, 124, 126, 44, 123,
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152, 238, 145, 45, 171, 114, 253, 10, 192, 136, 4, 157, 249, 30, 35, 72,
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175, 63, 77, 90, 181, 16, 96, 111, 133, 104, 75, 162, 93, 56, 66, 240,
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8, 50, 84, 229, 49, 210, 173, 239, 141, 1, 87, 18, 2, 198, 143, 57,
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225, 160, 58, 217, 168, 206, 245, 204, 199, 6, 73, 60, 20, 230, 211, 233,
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94, 200, 88, 9, 74, 155, 33, 15, 219, 130, 226, 202, 83, 236, 42, 172,
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165, 218, 55, 222, 46, 107, 98, 154, 109, 67, 196, 178, 127, 158, 13, 243,
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65, 79, 166, 248, 25, 224, 115, 80, 68, 51, 184, 128, 232, 208, 151, 122,
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26, 212, 105, 43, 179, 213, 235, 148, 146, 89, 14, 195, 28, 78, 112, 76,
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250, 47, 24, 251, 140, 108, 186, 190, 228, 170, 183, 139, 39, 188, 244, 246,
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132, 48, 119, 144, 180, 138, 134, 193, 82, 182, 120, 121, 86, 220, 209, 3,
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91, 241, 149, 85, 205, 150, 113, 216, 31, 100, 41, 164, 177, 214, 153, 231,
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38, 71, 185, 174, 97, 201, 29, 95, 7, 92, 54, 254, 191, 118, 34, 221,
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131, 11, 163, 99, 234, 81, 227, 147, 156, 176, 17, 142, 69, 12, 110, 62,
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27, 255, 0, 194, 59, 116, 242, 252, 19, 21, 187, 53, 207, 129, 64, 135,
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61, 40, 167, 237, 102, 223, 106, 159, 197, 189, 215, 137, 36, 32, 22, 5,
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// and a second copy so we don't need an extra mask or static initializer
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23, 125, 161, 52, 103, 117, 70, 37, 247, 101, 203, 169, 124, 126, 44, 123,
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152, 238, 145, 45, 171, 114, 253, 10, 192, 136, 4, 157, 249, 30, 35, 72,
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175, 63, 77, 90, 181, 16, 96, 111, 133, 104, 75, 162, 93, 56, 66, 240,
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8, 50, 84, 229, 49, 210, 173, 239, 141, 1, 87, 18, 2, 198, 143, 57,
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225, 160, 58, 217, 168, 206, 245, 204, 199, 6, 73, 60, 20, 230, 211, 233,
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94, 200, 88, 9, 74, 155, 33, 15, 219, 130, 226, 202, 83, 236, 42, 172,
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165, 218, 55, 222, 46, 107, 98, 154, 109, 67, 196, 178, 127, 158, 13, 243,
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65, 79, 166, 248, 25, 224, 115, 80, 68, 51, 184, 128, 232, 208, 151, 122,
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26, 212, 105, 43, 179, 213, 235, 148, 146, 89, 14, 195, 28, 78, 112, 76,
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250, 47, 24, 251, 140, 108, 186, 190, 228, 170, 183, 139, 39, 188, 244, 246,
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132, 48, 119, 144, 180, 138, 134, 193, 82, 182, 120, 121, 86, 220, 209, 3,
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91, 241, 149, 85, 205, 150, 113, 216, 31, 100, 41, 164, 177, 214, 153, 231,
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38, 71, 185, 174, 97, 201, 29, 95, 7, 92, 54, 254, 191, 118, 34, 221,
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131, 11, 163, 99, 234, 81, 227, 147, 156, 176, 17, 142, 69, 12, 110, 62,
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27, 255, 0, 194, 59, 116, 242, 252, 19, 21, 187, 53, 207, 129, 64, 135,
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61, 40, 167, 237, 102, 223, 106, 159, 197, 189, 215, 137, 36, 32, 22, 5,
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};
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// perlin's gradient has 12 cases so some get used 1/16th of the time
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// and some 2/16ths. We reduce bias by changing those fractions
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// to 5/64ths and 6/64ths
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// this array is designed to match the previous implementation
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// of gradient hash: indices[stb__perlin_randtab[i]&63]
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static unsigned char stb__perlin_randtab_grad_idx[512] =
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{
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7, 9, 5, 0, 11, 1, 6, 9, 3, 9, 11, 1, 8, 10, 4, 7,
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8, 6, 1, 5, 3, 10, 9, 10, 0, 8, 4, 1, 5, 2, 7, 8,
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7, 11, 9, 10, 1, 0, 4, 7, 5, 0, 11, 6, 1, 4, 2, 8,
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8, 10, 4, 9, 9, 2, 5, 7, 9, 1, 7, 2, 2, 6, 11, 5,
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5, 4, 6, 9, 0, 1, 1, 0, 7, 6, 9, 8, 4, 10, 3, 1,
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2, 8, 8, 9, 10, 11, 5, 11, 11, 2, 6, 10, 3, 4, 2, 4,
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9, 10, 3, 2, 6, 3, 6, 10, 5, 3, 4, 10, 11, 2, 9, 11,
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1, 11, 10, 4, 9, 4, 11, 0, 4, 11, 4, 0, 0, 0, 7, 6,
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10, 4, 1, 3, 11, 5, 3, 4, 2, 9, 1, 3, 0, 1, 8, 0,
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6, 7, 8, 7, 0, 4, 6, 10, 8, 2, 3, 11, 11, 8, 0, 2,
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4, 8, 3, 0, 0, 10, 6, 1, 2, 2, 4, 5, 6, 0, 1, 3,
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11, 9, 5, 5, 9, 6, 9, 8, 3, 8, 1, 8, 9, 6, 9, 11,
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10, 7, 5, 6, 5, 9, 1, 3, 7, 0, 2, 10, 11, 2, 6, 1,
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3, 11, 7, 7, 2, 1, 7, 3, 0, 8, 1, 1, 5, 0, 6, 10,
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11, 11, 0, 2, 7, 0, 10, 8, 3, 5, 7, 1, 11, 1, 0, 7,
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9, 0, 11, 5, 10, 3, 2, 3, 5, 9, 7, 9, 8, 4, 6, 5,
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// and a second copy so we don't need an extra mask or static initializer
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7, 9, 5, 0, 11, 1, 6, 9, 3, 9, 11, 1, 8, 10, 4, 7,
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8, 6, 1, 5, 3, 10, 9, 10, 0, 8, 4, 1, 5, 2, 7, 8,
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7, 11, 9, 10, 1, 0, 4, 7, 5, 0, 11, 6, 1, 4, 2, 8,
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8, 10, 4, 9, 9, 2, 5, 7, 9, 1, 7, 2, 2, 6, 11, 5,
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5, 4, 6, 9, 0, 1, 1, 0, 7, 6, 9, 8, 4, 10, 3, 1,
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2, 8, 8, 9, 10, 11, 5, 11, 11, 2, 6, 10, 3, 4, 2, 4,
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9, 10, 3, 2, 6, 3, 6, 10, 5, 3, 4, 10, 11, 2, 9, 11,
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1, 11, 10, 4, 9, 4, 11, 0, 4, 11, 4, 0, 0, 0, 7, 6,
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10, 4, 1, 3, 11, 5, 3, 4, 2, 9, 1, 3, 0, 1, 8, 0,
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6, 7, 8, 7, 0, 4, 6, 10, 8, 2, 3, 11, 11, 8, 0, 2,
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4, 8, 3, 0, 0, 10, 6, 1, 2, 2, 4, 5, 6, 0, 1, 3,
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11, 9, 5, 5, 9, 6, 9, 8, 3, 8, 1, 8, 9, 6, 9, 11,
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10, 7, 5, 6, 5, 9, 1, 3, 7, 0, 2, 10, 11, 2, 6, 1,
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3, 11, 7, 7, 2, 1, 7, 3, 0, 8, 1, 1, 5, 0, 6, 10,
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11, 11, 0, 2, 7, 0, 10, 8, 3, 5, 7, 1, 11, 1, 0, 7,
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9, 0, 11, 5, 10, 3, 2, 3, 5, 9, 7, 9, 8, 4, 6, 5,
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};
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static float stb__perlin_lerp(float a, float b, float t)
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{
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return a + (b-a) * t;
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}
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static int stb__perlin_fastfloor(float a)
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{
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int ai = (int) a;
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return (a < ai) ? ai-1 : ai;
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}
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// different grad function from Perlin's, but easy to modify to match reference
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static float stb__perlin_grad(int grad_idx, float x, float y, float z)
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{
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static float basis[12][4] =
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{
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{ 1, 1, 0 },
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{ -1, 1, 0 },
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{ 1,-1, 0 },
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{ -1,-1, 0 },
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{ 1, 0, 1 },
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{ -1, 0, 1 },
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{ 1, 0,-1 },
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{ -1, 0,-1 },
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{ 0, 1, 1 },
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{ 0,-1, 1 },
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{ 0, 1,-1 },
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{ 0,-1,-1 },
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};
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float *grad = basis[grad_idx];
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return grad[0]*x + grad[1]*y + grad[2]*z;
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}
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float stb_perlin_noise3_internal(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, unsigned char seed)
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{
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float u,v,w;
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float n000,n001,n010,n011,n100,n101,n110,n111;
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float n00,n01,n10,n11;
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float n0,n1;
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unsigned int x_mask = (x_wrap-1) & 255;
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unsigned int y_mask = (y_wrap-1) & 255;
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unsigned int z_mask = (z_wrap-1) & 255;
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int px = stb__perlin_fastfloor(x);
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int py = stb__perlin_fastfloor(y);
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int pz = stb__perlin_fastfloor(z);
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int x0 = px & x_mask, x1 = (px+1) & x_mask;
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int y0 = py & y_mask, y1 = (py+1) & y_mask;
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int z0 = pz & z_mask, z1 = (pz+1) & z_mask;
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int r0,r1, r00,r01,r10,r11;
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#define stb__perlin_ease(a) (((a*6-15)*a + 10) * a * a * a)
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x -= px; u = stb__perlin_ease(x);
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y -= py; v = stb__perlin_ease(y);
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z -= pz; w = stb__perlin_ease(z);
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r0 = stb__perlin_randtab[x0+seed];
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r1 = stb__perlin_randtab[x1+seed];
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r00 = stb__perlin_randtab[r0+y0];
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r01 = stb__perlin_randtab[r0+y1];
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r10 = stb__perlin_randtab[r1+y0];
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r11 = stb__perlin_randtab[r1+y1];
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n000 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z0], x , y , z );
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n001 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z1], x , y , z-1 );
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n010 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z0], x , y-1, z );
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n011 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z1], x , y-1, z-1 );
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n100 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r10+z0], x-1, y , z );
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n101 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r10+z1], x-1, y , z-1 );
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n110 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r11+z0], x-1, y-1, z );
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n111 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r11+z1], x-1, y-1, z-1 );
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n00 = stb__perlin_lerp(n000,n001,w);
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n01 = stb__perlin_lerp(n010,n011,w);
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n10 = stb__perlin_lerp(n100,n101,w);
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n11 = stb__perlin_lerp(n110,n111,w);
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n0 = stb__perlin_lerp(n00,n01,v);
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n1 = stb__perlin_lerp(n10,n11,v);
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return stb__perlin_lerp(n0,n1,u);
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}
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float stb_perlin_noise3(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap)
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{
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return stb_perlin_noise3_internal(x,y,z,x_wrap,y_wrap,z_wrap,0);
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}
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float stb_perlin_noise3_seed(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, int seed)
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{
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return stb_perlin_noise3_internal(x,y,z,x_wrap,y_wrap,z_wrap, (unsigned char) seed);
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}
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float stb_perlin_ridge_noise3(float x, float y, float z, float lacunarity, float gain, float offset, int octaves)
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{
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int i;
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float frequency = 1.0f;
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float prev = 1.0f;
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float amplitude = 0.5f;
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float sum = 0.0f;
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for (i = 0; i < octaves; i++) {
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float r = stb_perlin_noise3_internal(x*frequency,y*frequency,z*frequency,0,0,0,(unsigned char)i);
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r = offset - (float) fabs(r);
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r = r*r;
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sum += r*amplitude*prev;
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prev = r;
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frequency *= lacunarity;
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amplitude *= gain;
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}
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return sum;
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}
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float stb_perlin_fbm_noise3(float x, float y, float z, float lacunarity, float gain, int octaves)
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{
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int i;
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float frequency = 1.0f;
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float amplitude = 1.0f;
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float sum = 0.0f;
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for (i = 0; i < octaves; i++) {
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sum += stb_perlin_noise3_internal(x*frequency,y*frequency,z*frequency,0,0,0,(unsigned char)i)*amplitude;
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frequency *= lacunarity;
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amplitude *= gain;
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}
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return sum;
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}
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float stb_perlin_turbulence_noise3(float x, float y, float z, float lacunarity, float gain, int octaves)
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{
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int i;
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float frequency = 1.0f;
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float amplitude = 1.0f;
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float sum = 0.0f;
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for (i = 0; i < octaves; i++) {
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float r = stb_perlin_noise3_internal(x*frequency,y*frequency,z*frequency,0,0,0,(unsigned char)i)*amplitude;
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sum += (float) fabs(r);
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frequency *= lacunarity;
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amplitude *= gain;
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}
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return sum;
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}
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float stb_perlin_noise3_wrap_nonpow2(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, unsigned char seed)
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{
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float u,v,w;
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float n000,n001,n010,n011,n100,n101,n110,n111;
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float n00,n01,n10,n11;
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float n0,n1;
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int px = stb__perlin_fastfloor(x);
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int py = stb__perlin_fastfloor(y);
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int pz = stb__perlin_fastfloor(z);
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int x_wrap2 = (x_wrap ? x_wrap : 256);
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int y_wrap2 = (y_wrap ? y_wrap : 256);
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int z_wrap2 = (z_wrap ? z_wrap : 256);
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int x0 = px % x_wrap2, x1;
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int y0 = py % y_wrap2, y1;
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int z0 = pz % z_wrap2, z1;
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int r0,r1, r00,r01,r10,r11;
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if (x0 < 0) x0 += x_wrap2;
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if (y0 < 0) y0 += y_wrap2;
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if (z0 < 0) z0 += z_wrap2;
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x1 = (x0+1) % x_wrap2;
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y1 = (y0+1) % y_wrap2;
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z1 = (z0+1) % z_wrap2;
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#define stb__perlin_ease(a) (((a*6-15)*a + 10) * a * a * a)
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x -= px; u = stb__perlin_ease(x);
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y -= py; v = stb__perlin_ease(y);
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z -= pz; w = stb__perlin_ease(z);
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r0 = stb__perlin_randtab[x0];
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r0 = stb__perlin_randtab[r0+seed];
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r1 = stb__perlin_randtab[x1];
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r1 = stb__perlin_randtab[r1+seed];
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|
|
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r00 = stb__perlin_randtab[r0+y0];
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r01 = stb__perlin_randtab[r0+y1];
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r10 = stb__perlin_randtab[r1+y0];
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r11 = stb__perlin_randtab[r1+y1];
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|
|
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n000 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z0], x , y , z );
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n001 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z1], x , y , z-1 );
|
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n010 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z0], x , y-1, z );
|
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n011 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z1], x , y-1, z-1 );
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|
n100 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r10+z0], x-1, y , z );
|
|
n101 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r10+z1], x-1, y , z-1 );
|
|
n110 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r11+z0], x-1, y-1, z );
|
|
n111 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r11+z1], x-1, y-1, z-1 );
|
|
|
|
n00 = stb__perlin_lerp(n000,n001,w);
|
|
n01 = stb__perlin_lerp(n010,n011,w);
|
|
n10 = stb__perlin_lerp(n100,n101,w);
|
|
n11 = stb__perlin_lerp(n110,n111,w);
|
|
|
|
n0 = stb__perlin_lerp(n00,n01,v);
|
|
n1 = stb__perlin_lerp(n10,n11,v);
|
|
|
|
return stb__perlin_lerp(n0,n1,u);
|
|
}
|
|
#endif // STB_PERLIN_IMPLEMENTATION
|
|
|
|
/*
|
|
------------------------------------------------------------------------------
|
|
This software is available under 2 licenses -- choose whichever you prefer.
|
|
------------------------------------------------------------------------------
|
|
ALTERNATIVE A - MIT License
|
|
Copyright (c) 2017 Sean Barrett
|
|
Permission is hereby granted, free of charge, to any person obtaining a copy of
|
|
this software and associated documentation files (the "Software"), to deal in
|
|
the Software without restriction, including without limitation the rights to
|
|
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
|
|
of the Software, and to permit persons to whom the Software is furnished to do
|
|
so, subject to the following conditions:
|
|
The above copyright notice and this permission notice shall be included in all
|
|
copies or substantial portions of the Software.
|
|
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
|
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
|
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
|
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
|
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
|
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
|
SOFTWARE.
|
|
------------------------------------------------------------------------------
|
|
ALTERNATIVE B - Public Domain (www.unlicense.org)
|
|
This is free and unencumbered software released into the public domain.
|
|
Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
|
|
software, either in source code form or as a compiled binary, for any purpose,
|
|
commercial or non-commercial, and by any means.
|
|
In jurisdictions that recognize copyright laws, the author or authors of this
|
|
software dedicate any and all copyright interest in the software to the public
|
|
domain. We make this dedication for the benefit of the public at large and to
|
|
the detriment of our heirs and successors. We intend this dedication to be an
|
|
overt act of relinquishment in perpetuity of all present and future rights to
|
|
this software under copyright law.
|
|
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
|
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
|
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
|
AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
|
|
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
|
|
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
|
|
------------------------------------------------------------------------------
|
|
*/
|