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// stb_perlin.h - v0.5 - perlin noise
// public domain single-file C implementation by Sean Barrett
//
// LICENSE
//
// See end of file.
//
//
// to create the implementation,
// #define STB_PERLIN_IMPLEMENTATION
// in *one* C/CPP file that includes this file.
//
//
// Documentation:
//
// float stb_perlin_noise3( float x,
// float y,
// float z,
// int x_wrap=0,
// int y_wrap=0,
// int z_wrap=0)
//
// This function computes a random value at the coordinate (x,y,z).
// Adjacent random values are continuous but the noise fluctuates
// its randomness with period 1, i.e. takes on wholly unrelated values
// at integer points. Specifically, this implements Ken Perlin's
// revised noise function from 2002.
//
// The "wrap" parameters can be used to create wraparound noise that
// wraps at powers of two. The numbers MUST be powers of two. Specify
// 0 to mean "don't care". (The noise always wraps every 256 due
// details of the implementation, even if you ask for larger or no
// wrapping.)
//
// float stb_perlin_noise3_seed( float x,
// float y,
// float z,
// int x_wrap=0,
// int y_wrap=0,
// int z_wrap=0,
// int seed)
//
// As above, but 'seed' selects from multiple different variations of the
// noise function. The current implementation only uses the bottom 8 bits
// of 'seed', but possibly in the future more bits will be used.
//
//
// Fractal Noise:
//
// Three common fractal noise functions are included, which produce
// a wide variety of nice effects depending on the parameters
// provided. Note that each function will call stb_perlin_noise3
// 'octaves' times, so this parameter will affect runtime.
//
// float stb_perlin_ridge_noise3(float x, float y, float z,
// float lacunarity, float gain, float offset, int octaves)
//
// float stb_perlin_fbm_noise3(float x, float y, float z,
// float lacunarity, float gain, int octaves)
//
// float stb_perlin_turbulence_noise3(float x, float y, float z,
// float lacunarity, float gain, int octaves)
//
// Typical values to start playing with:
// octaves = 6 -- number of "octaves" of noise3() to sum
// lacunarity = ~ 2.0 -- spacing between successive octaves (use exactly 2.0 for wrapping output)
// gain = 0.5 -- relative weighting applied to each successive octave
// offset = 1.0? -- used to invert the ridges, may need to be larger, not sure
//
//
// Contributors:
// Jack Mott - additional noise functions
// Jordan Peck - seeded noise
//
#ifdef __cplusplus
extern "C" {
#endif
extern float stb_perlin_noise3(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap);
extern float stb_perlin_noise3_seed(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, int seed);
extern float stb_perlin_ridge_noise3(float x, float y, float z, float lacunarity, float gain, float offset, int octaves);
extern float stb_perlin_fbm_noise3(float x, float y, float z, float lacunarity, float gain, int octaves);
extern float stb_perlin_turbulence_noise3(float x, float y, float z, float lacunarity, float gain, int octaves);
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);
#ifdef __cplusplus
}
#endif
#ifdef STB_PERLIN_IMPLEMENTATION
#include <math.h> // fabs()
// not same permutation table as Perlin's reference to avoid copyright issues;
// Perlin's table can be found at http://mrl.nyu.edu/~perlin/noise/
static unsigned char stb__perlin_randtab[512] =
{
23, 125, 161, 52, 103, 117, 70, 37, 247, 101, 203, 169, 124, 126, 44, 123,
152, 238, 145, 45, 171, 114, 253, 10, 192, 136, 4, 157, 249, 30, 35, 72,
175, 63, 77, 90, 181, 16, 96, 111, 133, 104, 75, 162, 93, 56, 66, 240,
8, 50, 84, 229, 49, 210, 173, 239, 141, 1, 87, 18, 2, 198, 143, 57,
225, 160, 58, 217, 168, 206, 245, 204, 199, 6, 73, 60, 20, 230, 211, 233,
94, 200, 88, 9, 74, 155, 33, 15, 219, 130, 226, 202, 83, 236, 42, 172,
165, 218, 55, 222, 46, 107, 98, 154, 109, 67, 196, 178, 127, 158, 13, 243,
65, 79, 166, 248, 25, 224, 115, 80, 68, 51, 184, 128, 232, 208, 151, 122,
26, 212, 105, 43, 179, 213, 235, 148, 146, 89, 14, 195, 28, 78, 112, 76,
250, 47, 24, 251, 140, 108, 186, 190, 228, 170, 183, 139, 39, 188, 244, 246,
132, 48, 119, 144, 180, 138, 134, 193, 82, 182, 120, 121, 86, 220, 209, 3,
91, 241, 149, 85, 205, 150, 113, 216, 31, 100, 41, 164, 177, 214, 153, 231,
38, 71, 185, 174, 97, 201, 29, 95, 7, 92, 54, 254, 191, 118, 34, 221,
131, 11, 163, 99, 234, 81, 227, 147, 156, 176, 17, 142, 69, 12, 110, 62,
27, 255, 0, 194, 59, 116, 242, 252, 19, 21, 187, 53, 207, 129, 64, 135,
61, 40, 167, 237, 102, 223, 106, 159, 197, 189, 215, 137, 36, 32, 22, 5,
// and a second copy so we don't need an extra mask or static initializer
23, 125, 161, 52, 103, 117, 70, 37, 247, 101, 203, 169, 124, 126, 44, 123,
152, 238, 145, 45, 171, 114, 253, 10, 192, 136, 4, 157, 249, 30, 35, 72,
175, 63, 77, 90, 181, 16, 96, 111, 133, 104, 75, 162, 93, 56, 66, 240,
8, 50, 84, 229, 49, 210, 173, 239, 141, 1, 87, 18, 2, 198, 143, 57,
225, 160, 58, 217, 168, 206, 245, 204, 199, 6, 73, 60, 20, 230, 211, 233,
94, 200, 88, 9, 74, 155, 33, 15, 219, 130, 226, 202, 83, 236, 42, 172,
165, 218, 55, 222, 46, 107, 98, 154, 109, 67, 196, 178, 127, 158, 13, 243,
65, 79, 166, 248, 25, 224, 115, 80, 68, 51, 184, 128, 232, 208, 151, 122,
26, 212, 105, 43, 179, 213, 235, 148, 146, 89, 14, 195, 28, 78, 112, 76,
250, 47, 24, 251, 140, 108, 186, 190, 228, 170, 183, 139, 39, 188, 244, 246,
132, 48, 119, 144, 180, 138, 134, 193, 82, 182, 120, 121, 86, 220, 209, 3,
91, 241, 149, 85, 205, 150, 113, 216, 31, 100, 41, 164, 177, 214, 153, 231,
38, 71, 185, 174, 97, 201, 29, 95, 7, 92, 54, 254, 191, 118, 34, 221,
131, 11, 163, 99, 234, 81, 227, 147, 156, 176, 17, 142, 69, 12, 110, 62,
27, 255, 0, 194, 59, 116, 242, 252, 19, 21, 187, 53, 207, 129, 64, 135,
61, 40, 167, 237, 102, 223, 106, 159, 197, 189, 215, 137, 36, 32, 22, 5,
};
// perlin's gradient has 12 cases so some get used 1/16th of the time
// and some 2/16ths. We reduce bias by changing those fractions
// to 5/64ths and 6/64ths
// this array is designed to match the previous implementation
// of gradient hash: indices[stb__perlin_randtab[i]&63]
static unsigned char stb__perlin_randtab_grad_idx[512] =
{
7, 9, 5, 0, 11, 1, 6, 9, 3, 9, 11, 1, 8, 10, 4, 7,
8, 6, 1, 5, 3, 10, 9, 10, 0, 8, 4, 1, 5, 2, 7, 8,
7, 11, 9, 10, 1, 0, 4, 7, 5, 0, 11, 6, 1, 4, 2, 8,
8, 10, 4, 9, 9, 2, 5, 7, 9, 1, 7, 2, 2, 6, 11, 5,
5, 4, 6, 9, 0, 1, 1, 0, 7, 6, 9, 8, 4, 10, 3, 1,
2, 8, 8, 9, 10, 11, 5, 11, 11, 2, 6, 10, 3, 4, 2, 4,
9, 10, 3, 2, 6, 3, 6, 10, 5, 3, 4, 10, 11, 2, 9, 11,
1, 11, 10, 4, 9, 4, 11, 0, 4, 11, 4, 0, 0, 0, 7, 6,
10, 4, 1, 3, 11, 5, 3, 4, 2, 9, 1, 3, 0, 1, 8, 0,
6, 7, 8, 7, 0, 4, 6, 10, 8, 2, 3, 11, 11, 8, 0, 2,
4, 8, 3, 0, 0, 10, 6, 1, 2, 2, 4, 5, 6, 0, 1, 3,
11, 9, 5, 5, 9, 6, 9, 8, 3, 8, 1, 8, 9, 6, 9, 11,
10, 7, 5, 6, 5, 9, 1, 3, 7, 0, 2, 10, 11, 2, 6, 1,
3, 11, 7, 7, 2, 1, 7, 3, 0, 8, 1, 1, 5, 0, 6, 10,
11, 11, 0, 2, 7, 0, 10, 8, 3, 5, 7, 1, 11, 1, 0, 7,
9, 0, 11, 5, 10, 3, 2, 3, 5, 9, 7, 9, 8, 4, 6, 5,
// and a second copy so we don't need an extra mask or static initializer
7, 9, 5, 0, 11, 1, 6, 9, 3, 9, 11, 1, 8, 10, 4, 7,
8, 6, 1, 5, 3, 10, 9, 10, 0, 8, 4, 1, 5, 2, 7, 8,
7, 11, 9, 10, 1, 0, 4, 7, 5, 0, 11, 6, 1, 4, 2, 8,
8, 10, 4, 9, 9, 2, 5, 7, 9, 1, 7, 2, 2, 6, 11, 5,
5, 4, 6, 9, 0, 1, 1, 0, 7, 6, 9, 8, 4, 10, 3, 1,
2, 8, 8, 9, 10, 11, 5, 11, 11, 2, 6, 10, 3, 4, 2, 4,
9, 10, 3, 2, 6, 3, 6, 10, 5, 3, 4, 10, 11, 2, 9, 11,
1, 11, 10, 4, 9, 4, 11, 0, 4, 11, 4, 0, 0, 0, 7, 6,
10, 4, 1, 3, 11, 5, 3, 4, 2, 9, 1, 3, 0, 1, 8, 0,
6, 7, 8, 7, 0, 4, 6, 10, 8, 2, 3, 11, 11, 8, 0, 2,
4, 8, 3, 0, 0, 10, 6, 1, 2, 2, 4, 5, 6, 0, 1, 3,
11, 9, 5, 5, 9, 6, 9, 8, 3, 8, 1, 8, 9, 6, 9, 11,
10, 7, 5, 6, 5, 9, 1, 3, 7, 0, 2, 10, 11, 2, 6, 1,
3, 11, 7, 7, 2, 1, 7, 3, 0, 8, 1, 1, 5, 0, 6, 10,
11, 11, 0, 2, 7, 0, 10, 8, 3, 5, 7, 1, 11, 1, 0, 7,
9, 0, 11, 5, 10, 3, 2, 3, 5, 9, 7, 9, 8, 4, 6, 5,
};
static float stb__perlin_lerp(float a, float b, float t)
{
return a + (b-a) * t;
}
static int stb__perlin_fastfloor(float a)
{
int ai = (int) a;
return (a < ai) ? ai-1 : ai;
}
// different grad function from Perlin's, but easy to modify to match reference
static float stb__perlin_grad(int grad_idx, float x, float y, float z)
{
static float basis[12][4] =
{
{ 1, 1, 0 },
{ -1, 1, 0 },
{ 1,-1, 0 },
{ -1,-1, 0 },
{ 1, 0, 1 },
{ -1, 0, 1 },
{ 1, 0,-1 },
{ -1, 0,-1 },
{ 0, 1, 1 },
{ 0,-1, 1 },
{ 0, 1,-1 },
{ 0,-1,-1 },
};
float *grad = basis[grad_idx];
return grad[0]*x + grad[1]*y + grad[2]*z;
}
float stb_perlin_noise3_internal(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, unsigned char seed)
{
float u,v,w;
float n000,n001,n010,n011,n100,n101,n110,n111;
float n00,n01,n10,n11;
float n0,n1;
unsigned int x_mask = (x_wrap-1) & 255;
unsigned int y_mask = (y_wrap-1) & 255;
unsigned int z_mask = (z_wrap-1) & 255;
int px = stb__perlin_fastfloor(x);
int py = stb__perlin_fastfloor(y);
int pz = stb__perlin_fastfloor(z);
int x0 = px & x_mask, x1 = (px+1) & x_mask;
int y0 = py & y_mask, y1 = (py+1) & y_mask;
int z0 = pz & z_mask, z1 = (pz+1) & z_mask;
int r0,r1, r00,r01,r10,r11;
#define stb__perlin_ease(a) (((a*6-15)*a + 10) * a * a * a)
x -= px; u = stb__perlin_ease(x);
y -= py; v = stb__perlin_ease(y);
z -= pz; w = stb__perlin_ease(z);
r0 = stb__perlin_randtab[x0+seed];
r1 = stb__perlin_randtab[x1+seed];
r00 = stb__perlin_randtab[r0+y0];
r01 = stb__perlin_randtab[r0+y1];
r10 = stb__perlin_randtab[r1+y0];
r11 = stb__perlin_randtab[r1+y1];
n000 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z0], x , y , z );
n001 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z1], x , y , z-1 );
n010 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z0], x , y-1, z );
n011 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z1], x , y-1, z-1 );
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);
}
float stb_perlin_noise3(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap)
{
return stb_perlin_noise3_internal(x,y,z,x_wrap,y_wrap,z_wrap,0);
}
float stb_perlin_noise3_seed(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, int seed)
{
return stb_perlin_noise3_internal(x,y,z,x_wrap,y_wrap,z_wrap, (unsigned char) seed);
}
float stb_perlin_ridge_noise3(float x, float y, float z, float lacunarity, float gain, float offset, int octaves)
{
int i;
float frequency = 1.0f;
float prev = 1.0f;
float amplitude = 0.5f;
float sum = 0.0f;
for (i = 0; i < octaves; i++) {
float r = stb_perlin_noise3_internal(x*frequency,y*frequency,z*frequency,0,0,0,(unsigned char)i);
r = offset - (float) fabs(r);
r = r*r;
sum += r*amplitude*prev;
prev = r;
frequency *= lacunarity;
amplitude *= gain;
}
return sum;
}
float stb_perlin_fbm_noise3(float x, float y, float z, float lacunarity, float gain, int octaves)
{
int i;
float frequency = 1.0f;
float amplitude = 1.0f;
float sum = 0.0f;
for (i = 0; i < octaves; i++) {
sum += stb_perlin_noise3_internal(x*frequency,y*frequency,z*frequency,0,0,0,(unsigned char)i)*amplitude;
frequency *= lacunarity;
amplitude *= gain;
}
return sum;
}
float stb_perlin_turbulence_noise3(float x, float y, float z, float lacunarity, float gain, int octaves)
{
int i;
float frequency = 1.0f;
float amplitude = 1.0f;
float sum = 0.0f;
for (i = 0; i < octaves; i++) {
float r = stb_perlin_noise3_internal(x*frequency,y*frequency,z*frequency,0,0,0,(unsigned char)i)*amplitude;
sum += (float) fabs(r);
frequency *= lacunarity;
amplitude *= gain;
}
return sum;
}
float stb_perlin_noise3_wrap_nonpow2(float x, float y, float z, int x_wrap, int y_wrap, int z_wrap, unsigned char seed)
{
float u,v,w;
float n000,n001,n010,n011,n100,n101,n110,n111;
float n00,n01,n10,n11;
float n0,n1;
int px = stb__perlin_fastfloor(x);
int py = stb__perlin_fastfloor(y);
int pz = stb__perlin_fastfloor(z);
int x_wrap2 = (x_wrap ? x_wrap : 256);
int y_wrap2 = (y_wrap ? y_wrap : 256);
int z_wrap2 = (z_wrap ? z_wrap : 256);
int x0 = px % x_wrap2, x1;
int y0 = py % y_wrap2, y1;
int z0 = pz % z_wrap2, z1;
int r0,r1, r00,r01,r10,r11;
if (x0 < 0) x0 += x_wrap2;
if (y0 < 0) y0 += y_wrap2;
if (z0 < 0) z0 += z_wrap2;
x1 = (x0+1) % x_wrap2;
y1 = (y0+1) % y_wrap2;
z1 = (z0+1) % z_wrap2;
#define stb__perlin_ease(a) (((a*6-15)*a + 10) * a * a * a)
x -= px; u = stb__perlin_ease(x);
y -= py; v = stb__perlin_ease(y);
z -= pz; w = stb__perlin_ease(z);
r0 = stb__perlin_randtab[x0];
r0 = stb__perlin_randtab[r0+seed];
r1 = stb__perlin_randtab[x1];
r1 = stb__perlin_randtab[r1+seed];
r00 = stb__perlin_randtab[r0+y0];
r01 = stb__perlin_randtab[r0+y1];
r10 = stb__perlin_randtab[r1+y0];
r11 = stb__perlin_randtab[r1+y1];
n000 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z0], x , y , z );
n001 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r00+z1], x , y , z-1 );
n010 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z0], x , y-1, z );
n011 = stb__perlin_grad(stb__perlin_randtab_grad_idx[r01+z1], x , y-1, z-1 );
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.
------------------------------------------------------------------------------
*/

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// stb_rect_pack.h - v1.01 - public domain - rectangle packing
// Sean Barrett 2014
//
// Useful for e.g. packing rectangular textures into an atlas.
// Does not do rotation.
//
// Before #including,
//
// #define STB_RECT_PACK_IMPLEMENTATION
//
// in the file that you want to have the implementation.
//
// Not necessarily the awesomest packing method, but better than
// the totally naive one in stb_truetype (which is primarily what
// this is meant to replace).
//
// Has only had a few tests run, may have issues.
//
// More docs to come.
//
// No memory allocations; uses qsort() and assert() from stdlib.
// Can override those by defining STBRP_SORT and STBRP_ASSERT.
//
// This library currently uses the Skyline Bottom-Left algorithm.
//
// Please note: better rectangle packers are welcome! Please
// implement them to the same API, but with a different init
// function.
//
// Credits
//
// Library
// Sean Barrett
// Minor features
// Martins Mozeiko
// github:IntellectualKitty
//
// Bugfixes / warning fixes
// Jeremy Jaussaud
// Fabian Giesen
//
// Version history:
//
// 1.01 (2021-07-11) always use large rect mode, expose STBRP__MAXVAL in public section
// 1.00 (2019-02-25) avoid small space waste; gracefully fail too-wide rectangles
// 0.99 (2019-02-07) warning fixes
// 0.11 (2017-03-03) return packing success/fail result
// 0.10 (2016-10-25) remove cast-away-const to avoid warnings
// 0.09 (2016-08-27) fix compiler warnings
// 0.08 (2015-09-13) really fix bug with empty rects (w=0 or h=0)
// 0.07 (2015-09-13) fix bug with empty rects (w=0 or h=0)
// 0.06 (2015-04-15) added STBRP_SORT to allow replacing qsort
// 0.05: added STBRP_ASSERT to allow replacing assert
// 0.04: fixed minor bug in STBRP_LARGE_RECTS support
// 0.01: initial release
//
// LICENSE
//
// See end of file for license information.
//////////////////////////////////////////////////////////////////////////////
//
// INCLUDE SECTION
//
#ifndef STB_INCLUDE_STB_RECT_PACK_H
#define STB_INCLUDE_STB_RECT_PACK_H
#define STB_RECT_PACK_VERSION 1
#ifdef STBRP_STATIC
#define STBRP_DEF static
#else
#define STBRP_DEF extern
#endif
#ifdef __cplusplus
extern "C" {
#endif
typedef struct stbrp_context stbrp_context;
typedef struct stbrp_node stbrp_node;
typedef struct stbrp_rect stbrp_rect;
typedef int stbrp_coord;
#define STBRP__MAXVAL 0x7fffffff
// Mostly for internal use, but this is the maximum supported coordinate value.
STBRP_DEF int stbrp_pack_rects (stbrp_context *context, stbrp_rect *rects, int num_rects);
// Assign packed locations to rectangles. The rectangles are of type
// 'stbrp_rect' defined below, stored in the array 'rects', and there
// are 'num_rects' many of them.
//
// Rectangles which are successfully packed have the 'was_packed' flag
// set to a non-zero value and 'x' and 'y' store the minimum location
// on each axis (i.e. bottom-left in cartesian coordinates, top-left
// if you imagine y increasing downwards). Rectangles which do not fit
// have the 'was_packed' flag set to 0.
//
// You should not try to access the 'rects' array from another thread
// while this function is running, as the function temporarily reorders
// the array while it executes.
//
// To pack into another rectangle, you need to call stbrp_init_target
// again. To continue packing into the same rectangle, you can call
// this function again. Calling this multiple times with multiple rect
// arrays will probably produce worse packing results than calling it
// a single time with the full rectangle array, but the option is
// available.
//
// The function returns 1 if all of the rectangles were successfully
// packed and 0 otherwise.
struct stbrp_rect
{
// reserved for your use:
int id;
// input:
stbrp_coord w, h;
// output:
stbrp_coord x, y;
int was_packed; // non-zero if valid packing
}; // 16 bytes, nominally
STBRP_DEF void stbrp_init_target (stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes);
// Initialize a rectangle packer to:
// pack a rectangle that is 'width' by 'height' in dimensions
// using temporary storage provided by the array 'nodes', which is 'num_nodes' long
//
// You must call this function every time you start packing into a new target.
//
// There is no "shutdown" function. The 'nodes' memory must stay valid for
// the following stbrp_pack_rects() call (or calls), but can be freed after
// the call (or calls) finish.
//
// Note: to guarantee best results, either:
// 1. make sure 'num_nodes' >= 'width'
// or 2. call stbrp_allow_out_of_mem() defined below with 'allow_out_of_mem = 1'
//
// If you don't do either of the above things, widths will be quantized to multiples
// of small integers to guarantee the algorithm doesn't run out of temporary storage.
//
// If you do #2, then the non-quantized algorithm will be used, but the algorithm
// may run out of temporary storage and be unable to pack some rectangles.
STBRP_DEF void stbrp_setup_allow_out_of_mem (stbrp_context *context, int allow_out_of_mem);
// Optionally call this function after init but before doing any packing to
// change the handling of the out-of-temp-memory scenario, described above.
// If you call init again, this will be reset to the default (false).
STBRP_DEF void stbrp_setup_heuristic (stbrp_context *context, int heuristic);
// Optionally select which packing heuristic the library should use. Different
// heuristics will produce better/worse results for different data sets.
// If you call init again, this will be reset to the default.
enum
{
STBRP_HEURISTIC_Skyline_default=0,
STBRP_HEURISTIC_Skyline_BL_sortHeight = STBRP_HEURISTIC_Skyline_default,
STBRP_HEURISTIC_Skyline_BF_sortHeight
};
//////////////////////////////////////////////////////////////////////////////
//
// the details of the following structures don't matter to you, but they must
// be visible so you can handle the memory allocations for them
struct stbrp_node
{
stbrp_coord x,y;
stbrp_node *next;
};
struct stbrp_context
{
int width;
int height;
int align;
int init_mode;
int heuristic;
int num_nodes;
stbrp_node *active_head;
stbrp_node *free_head;
stbrp_node extra[2]; // we allocate two extra nodes so optimal user-node-count is 'width' not 'width+2'
};
#ifdef __cplusplus
}
#endif
#endif
//////////////////////////////////////////////////////////////////////////////
//
// IMPLEMENTATION SECTION
//
#ifdef STB_RECT_PACK_IMPLEMENTATION
#ifndef STBRP_SORT
#include <stdlib.h>
#define STBRP_SORT qsort
#endif
#ifndef STBRP_ASSERT
#include <assert.h>
#define STBRP_ASSERT assert
#endif
#ifdef _MSC_VER
#define STBRP__NOTUSED(v) (void)(v)
#define STBRP__CDECL __cdecl
#else
#define STBRP__NOTUSED(v) (void)sizeof(v)
#define STBRP__CDECL
#endif
enum
{
STBRP__INIT_skyline = 1
};
STBRP_DEF void stbrp_setup_heuristic(stbrp_context *context, int heuristic)
{
switch (context->init_mode) {
case STBRP__INIT_skyline:
STBRP_ASSERT(heuristic == STBRP_HEURISTIC_Skyline_BL_sortHeight || heuristic == STBRP_HEURISTIC_Skyline_BF_sortHeight);
context->heuristic = heuristic;
break;
default:
STBRP_ASSERT(0);
}
}
STBRP_DEF void stbrp_setup_allow_out_of_mem(stbrp_context *context, int allow_out_of_mem)
{
if (allow_out_of_mem)
// if it's ok to run out of memory, then don't bother aligning them;
// this gives better packing, but may fail due to OOM (even though
// the rectangles easily fit). @TODO a smarter approach would be to only
// quantize once we've hit OOM, then we could get rid of this parameter.
context->align = 1;
else {
// if it's not ok to run out of memory, then quantize the widths
// so that num_nodes is always enough nodes.
//
// I.e. num_nodes * align >= width
// align >= width / num_nodes
// align = ceil(width/num_nodes)
context->align = (context->width + context->num_nodes-1) / context->num_nodes;
}
}
STBRP_DEF void stbrp_init_target(stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes)
{
int i;
for (i=0; i < num_nodes-1; ++i)
nodes[i].next = &nodes[i+1];
nodes[i].next = NULL;
context->init_mode = STBRP__INIT_skyline;
context->heuristic = STBRP_HEURISTIC_Skyline_default;
context->free_head = &nodes[0];
context->active_head = &context->extra[0];
context->width = width;
context->height = height;
context->num_nodes = num_nodes;
stbrp_setup_allow_out_of_mem(context, 0);
// node 0 is the full width, node 1 is the sentinel (lets us not store width explicitly)
context->extra[0].x = 0;
context->extra[0].y = 0;
context->extra[0].next = &context->extra[1];
context->extra[1].x = (stbrp_coord) width;
context->extra[1].y = (1<<30);
context->extra[1].next = NULL;
}
// find minimum y position if it starts at x1
static int stbrp__skyline_find_min_y(stbrp_context *c, stbrp_node *first, int x0, int width, int *pwaste)
{
stbrp_node *node = first;
int x1 = x0 + width;
int min_y, visited_width, waste_area;
STBRP__NOTUSED(c);
STBRP_ASSERT(first->x <= x0);
#if 0
// skip in case we're past the node
while (node->next->x <= x0)
++node;
#else
STBRP_ASSERT(node->next->x > x0); // we ended up handling this in the caller for efficiency
#endif
STBRP_ASSERT(node->x <= x0);
min_y = 0;
waste_area = 0;
visited_width = 0;
while (node->x < x1) {
if (node->y > min_y) {
// raise min_y higher.
// we've accounted for all waste up to min_y,
// but we'll now add more waste for everything we've visted
waste_area += visited_width * (node->y - min_y);
min_y = node->y;
// the first time through, visited_width might be reduced
if (node->x < x0)
visited_width += node->next->x - x0;
else
visited_width += node->next->x - node->x;
} else {
// add waste area
int under_width = node->next->x - node->x;
if (under_width + visited_width > width)
under_width = width - visited_width;
waste_area += under_width * (min_y - node->y);
visited_width += under_width;
}
node = node->next;
}
*pwaste = waste_area;
return min_y;
}
typedef struct
{
int x,y;
stbrp_node **prev_link;
} stbrp__findresult;
static stbrp__findresult stbrp__skyline_find_best_pos(stbrp_context *c, int width, int height)
{
int best_waste = (1<<30), best_x, best_y = (1 << 30);
stbrp__findresult fr;
stbrp_node **prev, *node, *tail, **best = NULL;
// align to multiple of c->align
width = (width + c->align - 1);
width -= width % c->align;
STBRP_ASSERT(width % c->align == 0);
// if it can't possibly fit, bail immediately
if (width > c->width || height > c->height) {
fr.prev_link = NULL;
fr.x = fr.y = 0;
return fr;
}
node = c->active_head;
prev = &c->active_head;
while (node->x + width <= c->width) {
int y,waste;
y = stbrp__skyline_find_min_y(c, node, node->x, width, &waste);
if (c->heuristic == STBRP_HEURISTIC_Skyline_BL_sortHeight) { // actually just want to test BL
// bottom left
if (y < best_y) {
best_y = y;
best = prev;
}
} else {
// best-fit
if (y + height <= c->height) {
// can only use it if it first vertically
if (y < best_y || (y == best_y && waste < best_waste)) {
best_y = y;
best_waste = waste;
best = prev;
}
}
}
prev = &node->next;
node = node->next;
}
best_x = (best == NULL) ? 0 : (*best)->x;
// if doing best-fit (BF), we also have to try aligning right edge to each node position
//
// e.g, if fitting
//
// ____________________
// |____________________|
//
// into
//
// | |
// | ____________|
// |____________|
//
// then right-aligned reduces waste, but bottom-left BL is always chooses left-aligned
//
// This makes BF take about 2x the time
if (c->heuristic == STBRP_HEURISTIC_Skyline_BF_sortHeight) {
tail = c->active_head;
node = c->active_head;
prev = &c->active_head;
// find first node that's admissible
while (tail->x < width)
tail = tail->next;
while (tail) {
int xpos = tail->x - width;
int y,waste;
STBRP_ASSERT(xpos >= 0);
// find the left position that matches this
while (node->next->x <= xpos) {
prev = &node->next;
node = node->next;
}
STBRP_ASSERT(node->next->x > xpos && node->x <= xpos);
y = stbrp__skyline_find_min_y(c, node, xpos, width, &waste);
if (y + height <= c->height) {
if (y <= best_y) {
if (y < best_y || waste < best_waste || (waste==best_waste && xpos < best_x)) {
best_x = xpos;
STBRP_ASSERT(y <= best_y);
best_y = y;
best_waste = waste;
best = prev;
}
}
}
tail = tail->next;
}
}
fr.prev_link = best;
fr.x = best_x;
fr.y = best_y;
return fr;
}
static stbrp__findresult stbrp__skyline_pack_rectangle(stbrp_context *context, int width, int height)
{
// find best position according to heuristic
stbrp__findresult res = stbrp__skyline_find_best_pos(context, width, height);
stbrp_node *node, *cur;
// bail if:
// 1. it failed
// 2. the best node doesn't fit (we don't always check this)
// 3. we're out of memory
if (res.prev_link == NULL || res.y + height > context->height || context->free_head == NULL) {
res.prev_link = NULL;
return res;
}
// on success, create new node
node = context->free_head;
node->x = (stbrp_coord) res.x;
node->y = (stbrp_coord) (res.y + height);
context->free_head = node->next;
// insert the new node into the right starting point, and
// let 'cur' point to the remaining nodes needing to be
// stiched back in
cur = *res.prev_link;
if (cur->x < res.x) {
// preserve the existing one, so start testing with the next one
stbrp_node *next = cur->next;
cur->next = node;
cur = next;
} else {
*res.prev_link = node;
}
// from here, traverse cur and free the nodes, until we get to one
// that shouldn't be freed
while (cur->next && cur->next->x <= res.x + width) {
stbrp_node *next = cur->next;
// move the current node to the free list
cur->next = context->free_head;
context->free_head = cur;
cur = next;
}
// stitch the list back in
node->next = cur;
if (cur->x < res.x + width)
cur->x = (stbrp_coord) (res.x + width);
#ifdef _DEBUG
cur = context->active_head;
while (cur->x < context->width) {
STBRP_ASSERT(cur->x < cur->next->x);
cur = cur->next;
}
STBRP_ASSERT(cur->next == NULL);
{
int count=0;
cur = context->active_head;
while (cur) {
cur = cur->next;
++count;
}
cur = context->free_head;
while (cur) {
cur = cur->next;
++count;
}
STBRP_ASSERT(count == context->num_nodes+2);
}
#endif
return res;
}
static int STBRP__CDECL rect_height_compare(const void *a, const void *b)
{
const stbrp_rect *p = (const stbrp_rect *) a;
const stbrp_rect *q = (const stbrp_rect *) b;
if (p->h > q->h)
return -1;
if (p->h < q->h)
return 1;
return (p->w > q->w) ? -1 : (p->w < q->w);
}
static int STBRP__CDECL rect_original_order(const void *a, const void *b)
{
const stbrp_rect *p = (const stbrp_rect *) a;
const stbrp_rect *q = (const stbrp_rect *) b;
return (p->was_packed < q->was_packed) ? -1 : (p->was_packed > q->was_packed);
}
STBRP_DEF int stbrp_pack_rects(stbrp_context *context, stbrp_rect *rects, int num_rects)
{
int i, all_rects_packed = 1;
// we use the 'was_packed' field internally to allow sorting/unsorting
for (i=0; i < num_rects; ++i) {
rects[i].was_packed = i;
}
// sort according to heuristic
STBRP_SORT(rects, num_rects, sizeof(rects[0]), rect_height_compare);
for (i=0; i < num_rects; ++i) {
if (rects[i].w == 0 || rects[i].h == 0) {
rects[i].x = rects[i].y = 0; // empty rect needs no space
} else {
stbrp__findresult fr = stbrp__skyline_pack_rectangle(context, rects[i].w, rects[i].h);
if (fr.prev_link) {
rects[i].x = (stbrp_coord) fr.x;
rects[i].y = (stbrp_coord) fr.y;
} else {
rects[i].x = rects[i].y = STBRP__MAXVAL;
}
}
}
// unsort
STBRP_SORT(rects, num_rects, sizeof(rects[0]), rect_original_order);
// set was_packed flags and all_rects_packed status
for (i=0; i < num_rects; ++i) {
rects[i].was_packed = !(rects[i].x == STBRP__MAXVAL && rects[i].y == STBRP__MAXVAL);
if (!rects[i].was_packed)
all_rects_packed = 0;
}
// return the all_rects_packed status
return all_rects_packed;
}
#endif
/*
------------------------------------------------------------------------------
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.
------------------------------------------------------------------------------
*/

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