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+// stb_perlin.h - v0.3 - 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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+// 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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+// int x_wrap, int y_wrap, int z_wrap);
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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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+// int x_wrap, int y_wrap, int z_wrap);
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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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+// int x_wrap, int y_wrap, int z_wrap);
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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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+//
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+
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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_ridge_noise3(float x, float y, float z,float lacunarity, float gain, float offset, int octaves,int x_wrap, int y_wrap, int z_wrap);
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+extern float stb_perlin_fbm_noise3(float x, float y, float z,float lacunarity, float gain, int octaves,int x_wrap, int y_wrap, int z_wrap);
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+extern float stb_perlin_turbulence_noise3(float x, float y, float z, float lacunarity, float gain, int octaves,int x_wrap, int y_wrap, int z_wrap);
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+#ifdef __cplusplus
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+}
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+#endif
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+
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+#ifdef STB_PERLIN_IMPLEMENTATION
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+
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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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+// @OPTIMIZE: should this be unsigned char instead of int for cache?
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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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+
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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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+
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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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+
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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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+
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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 hash, 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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+
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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, and the same 4 cases get the extra weight.
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+ static unsigned char indices[64] =
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+ {
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+ 0,1,2,3,4,5,6,7,8,9,10,11,
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+ 0,9,1,11,
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+ 0,1,2,3,4,5,6,7,8,9,10,11,
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+ 0,1,2,3,4,5,6,7,8,9,10,11,
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+ 0,1,2,3,4,5,6,7,8,9,10,11,
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+ 0,1,2,3,4,5,6,7,8,9,10,11,
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+ };
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+
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+ // if you use reference permutation table, change 63 below to 15 to match reference
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+ // (this is why the ordering of the table above is funky)
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+ float *grad = basis[indices[hash & 63]];
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+ return grad[0]*x + grad[1]*y + grad[2]*z;
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+}
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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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+ 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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+
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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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+
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+ #define stb__perlin_ease(a) (((a*6-15)*a + 10) * a * a * a)
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+
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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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+
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+ r0 = stb__perlin_randtab[x0];
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+ r1 = stb__perlin_randtab[x1];
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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[r00+z0], x , y , z );
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+ n001 = stb__perlin_grad(stb__perlin_randtab[r00+z1], x , y , z-1 );
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+ n010 = stb__perlin_grad(stb__perlin_randtab[r01+z0], x , y-1, z );
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+ n011 = stb__perlin_grad(stb__perlin_randtab[r01+z1], x , y-1, z-1 );
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+ n100 = stb__perlin_grad(stb__perlin_randtab[r10+z0], x-1, y , z );
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+ n101 = stb__perlin_grad(stb__perlin_randtab[r10+z1], x-1, y , z-1 );
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+ n110 = stb__perlin_grad(stb__perlin_randtab[r11+z0], x-1, y-1, z );
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+ n111 = stb__perlin_grad(stb__perlin_randtab[r11+z1], x-1, y-1, z-1 );
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+
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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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+
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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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+
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+ return stb__perlin_lerp(n0,n1,u);
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+}
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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,int x_wrap, int y_wrap, int z_wrap)
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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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+
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+ for (i = 0; i < octaves; i++) {
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+ float r = (float)(stb_perlin_noise3(x*frequency,y*frequency,z*frequency,x_wrap,y_wrap,z_wrap));
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+ r = r<0 ? -r : r; // fabs()
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+ r = offset - 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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+
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+float stb_perlin_fbm_noise3(float x, float y, float z,float lacunarity, float gain, int octaves,int x_wrap, int y_wrap, int z_wrap)
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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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+
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+ for (i = 0; i < octaves; i++) {
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+ sum += stb_perlin_noise3(x*frequency,y*frequency,z*frequency,x_wrap,y_wrap,z_wrap)*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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+
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+float stb_perlin_turbulence_noise3(float x, float y, float z, float lacunarity, float gain, int octaves,int x_wrap, int y_wrap, int z_wrap)
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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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+
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+ for (i = 0; i < octaves; i++) {
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+ float r = stb_perlin_noise3(x*frequency,y*frequency,z*frequency,x_wrap,y_wrap,z_wrap)*amplitude;
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+ r = r<0 ? -r : r; // fabs()
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+ sum += 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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+
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+#endif // STB_PERLIN_IMPLEMENTATION
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+
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+/*
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+------------------------------------------------------------------------------
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+This software is available under 2 licenses -- choose whichever you prefer.
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+------------------------------------------------------------------------------
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+ALTERNATIVE A - MIT License
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+Copyright (c) 2017 Sean Barrett
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+Permission is hereby granted, free of charge, to any person obtaining a copy of
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+this software and associated documentation files (the "Software"), to deal in
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+the Software without restriction, including without limitation the rights to
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+use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
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+of the Software, and to permit persons to whom the Software is furnished to do
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+so, subject to the following conditions:
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+The above copyright notice and this permission notice shall be included in all
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+copies or substantial portions of the Software.
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+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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+SOFTWARE.
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+------------------------------------------------------------------------------
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+ALTERNATIVE B - Public Domain (www.unlicense.org)
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+This is free and unencumbered software released into the public domain.
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+Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
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+software, either in source code form or as a compiled binary, for any purpose,
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+commercial or non-commercial, and by any means.
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+In jurisdictions that recognize copyright laws, the author or authors of this
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+software dedicate any and all copyright interest in the software to the public
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+domain. We make this dedication for the benefit of the public at large and to
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+the detriment of our heirs and successors. We intend this dedication to be an
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+overt act of relinquishment in perpetuity of all present and future rights to
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+this software under copyright law.
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+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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+AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
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+ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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+WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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+------------------------------------------------------------------------------
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+*/
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