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mixbox.cpp
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mixbox.cpp
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// ==========================================================
// MIXBOX 2.0 (c) 2022 Secret Weapons. All rights reserved.
// License: Creative Commons Attribution-NonCommercial 4.0
// Authors: Sarka Sochorova and Ondrej Jamriska
// ==========================================================
//
// BASIC USAGE
//
// mixbox_lerp(r1, g1, b1, // 1st color
// r2, g2, b2, // 2nd color
// t, // mixing ratio
// &r, &g, &b); // result
//
// MULTI-COLOR MIXING
//
// mixbox_latent z1, z2, z3, z_mix;
// mixbox_rgb_to_latent(r1, g1, b1, z1);
// mixbox_rgb_to_latent(r2, g2, b2, z2);
// mixbox_rgb_to_latent(r3, g3, b3, z3);
//
// for (int i = 0; i < MIXBOX_LATENT_SIZE; i++) {
// // mix 30% of rgb1, 60% of rgb2, and 10% of rgb3
// z_mix[i] = 0.3f*z1[i] + 0.6f*z2[i] + 0.1f*z3[i];
// }
//
// mixbox_latent_to_rgb(z_mix, &r, &g, &b);
//
// PIGMENT COLORS
//
// Cadmium Yellow 254, 236, 0
// Hansa Yellow 252, 211, 0
// Cadmium Orange 255, 105, 0
// Cadmium Red 255, 39, 2
// Quinacridone Magenta 128, 2, 46
// Cobalt Violet 78, 0, 66
// Ultramarine Blue 25, 0, 89
// Cobalt Blue 0, 33, 133
// Phthalo Blue 13, 27, 68
// Phthalo Green 0, 60, 50
// Permanent Green 7, 109, 22
// Sap Green 107, 148, 4
// Burnt Sienna 123, 72, 0
//
// LICENSING
//
// If you want to obtain commercial license, please
// contact us at: [email protected]
//
#include "mixbox.h"
#include <cmath>
#ifdef _MSC_VER
#define INLINE __forceinline
#elif defined(__GNUC__)
#define INLINE inline __attribute__((always_inline))
#else
#define INLINE inline
#endif
INLINE static float clamp01(float x)
{
return x < 0.0f ? 0.0f : x > 1.0f ? 1.0f : x;
}
INLINE static float srgb_to_linear(float x)
{
return (x >= 0.04045f) ? std::pow((x + 0.055f) / 1.055f, 2.4f) : x/12.92f;
}
INLINE static float linear_to_srgb(float x)
{
return (x >= 0.0031308f) ? 1.055f*std::pow(x, 1.0f/2.4f) - 0.055f : 12.92f*x;
}
INLINE static void eval_polynomial(float c0, float c1, float c2, float c3, float* rgb)
{
float r = 0;
float g = 0;
float b = 0;
const float c00 = c0 * c0;
const float c11 = c1 * c1;
const float c22 = c2 * c2;
const float c33 = c3 * c3;
const float c01 = c0 * c1;
const float c02 = c0 * c2;
const float c12 = c1 * c2;
float w;
w = c0*c00; r += +0.07717053f*w; g += +0.02826978f*w; b += +0.24832992f*w;
w = c1*c11; r += +0.95912302f*w; g += +0.80256528f*w; b += +0.03561839f*w;
w = c2*c22; r += +0.74683774f*w; g += +0.04868586f*w; b += +0.00000000f*w;
w = c3*c33; r += +0.99518138f*w; g += +0.99978149f*w; b += +0.99704802f*w;
w = c00*c1; r += +0.04819146f*w; g += +0.83363781f*w; b += +0.32515377f*w;
w = c01*c1; r += -0.68146950f*w; g += +1.46107803f*w; b += +1.06980936f*w;
w = c00*c2; r += +0.27058419f*w; g += -0.15324870f*w; b += +1.98735057f*w;
w = c02*c2; r += +0.80478189f*w; g += +0.67093710f*w; b += +0.18424500f*w;
w = c00*c3; r += -0.35031003f*w; g += +1.37855826f*w; b += +3.68865000f*w;
w = c0*c33; r += +1.05128046f*w; g += +1.97815239f*w; b += +2.82989073f*w;
w = c11*c2; r += +3.21607125f*w; g += +0.81270228f*w; b += +1.03384539f*w;
w = c1*c22; r += +2.78893374f*w; g += +0.41565549f*w; b += -0.04487295f*w;
w = c11*c3; r += +3.02162577f*w; g += +2.55374103f*w; b += +0.32766114f*w;
w = c1*c33; r += +2.95124691f*w; g += +2.81201112f*w; b += +1.17578442f*w;
w = c22*c3; r += +2.82677043f*w; g += +0.79933038f*w; b += +1.81715262f*w;
w = c2*c33; r += +2.99691099f*w; g += +1.22593053f*w; b += +1.80653661f*w;
w = c01*c2; r += +1.87394106f*w; g += +2.05027182f*w; b += -0.29835996f*w;
w = c01*c3; r += +2.56609566f*w; g += +7.03428198f*w; b += +0.62575374f*w;
w = c02*c3; r += +4.08329484f*w; g += -1.40408358f*w; b += +2.14995522f*w;
w = c12*c3; r += +6.00078678f*w; g += +2.55552042f*w; b += +1.90739502f*w;
rgb[0] = r;
rgb[1] = g;
rgb[2] = b;
}
INLINE static const unsigned char* mixbox_lut();
INLINE static void float_rgb_to_latent(float r, float g, float b, mixbox_latent out_latent)
{
r = clamp01(r);
g = clamp01(g);
b = clamp01(b);
const float x = r * 63.0f;
const float y = g * 63.0f;
const float z = b * 63.0f;
const int ix = int(x);
const int iy = int(y);
const int iz = int(z);
const float tx = x - float(ix);
const float ty = y - float(iy);
const float tz = z - float(iz);
const unsigned char* const lut_ptr = &(mixbox_lut()[((ix + iy*64 + iz*64*64) & 0x3FFFF) * 3]);
float c0 = 0;
float c1 = 0;
float c2 = 0;
float w;
w = (1.0f-tx)*(1.0f-ty)*(1.0f-tz); c0 += w*lut_ptr[ 192]; c1 += w*lut_ptr[ 193]; c2 += w*lut_ptr[ 194];
w = ( tx)*(1.0f-ty)*(1.0f-tz); c0 += w*lut_ptr[ 195]; c1 += w*lut_ptr[ 196]; c2 += w*lut_ptr[ 197];
w = (1.0f-tx)*( ty)*(1.0f-tz); c0 += w*lut_ptr[ 384]; c1 += w*lut_ptr[ 385]; c2 += w*lut_ptr[ 386];
w = ( tx)*( ty)*(1.0f-tz); c0 += w*lut_ptr[ 387]; c1 += w*lut_ptr[ 388]; c2 += w*lut_ptr[ 389];
w = (1.0f-tx)*(1.0f-ty)*( tz); c0 += w*lut_ptr[12480]; c1 += w*lut_ptr[12481]; c2 += w*lut_ptr[12482];
w = ( tx)*(1.0f-ty)*( tz); c0 += w*lut_ptr[12483]; c1 += w*lut_ptr[12484]; c2 += w*lut_ptr[12485];
w = (1.0f-tx)*( ty)*( tz); c0 += w*lut_ptr[12672]; c1 += w*lut_ptr[12673]; c2 += w*lut_ptr[12674];
w = ( tx)*( ty)*( tz); c0 += w*lut_ptr[12675]; c1 += w*lut_ptr[12676]; c2 += w*lut_ptr[12677];
c0 *= (1.0f / 255.0f);
c1 *= (1.0f / 255.0f);
c2 *= (1.0f / 255.0f);
const float c3 = 1.0f - (c0 + c1 + c2);
float mixrgb[3];
eval_polynomial(c0, c1, c2, c3, mixrgb);
out_latent[0] = c0;
out_latent[1] = c1;
out_latent[2] = c2;
out_latent[3] = c3;
out_latent[4] = r - mixrgb[0];
out_latent[5] = g - mixrgb[1];
out_latent[6] = b - mixrgb[2];
}
INLINE static void latent_to_float_rgb(mixbox_latent latent, float* out_r, float* out_g, float* out_b)
{
float rgb[3];
eval_polynomial(latent[0], latent[1], latent[2], latent[3], rgb);
*out_r = clamp01(rgb[0] + latent[4]);
*out_g = clamp01(rgb[1] + latent[5]);
*out_b = clamp01(rgb[2] + latent[6]);
}
INLINE static void latent_to_rgb(mixbox_latent latent, unsigned char* out_r, unsigned char* out_g, unsigned char* out_b)
{
float r, g, b;
latent_to_float_rgb(latent, &r, &g, &b);
*out_r = (unsigned char)((int)(r*255.0f + 0.5f));
*out_g = (unsigned char)((int)(g*255.0f + 0.5f));
*out_b = (unsigned char)((int)(b*255.0f + 0.5f));
}
INLINE static void rgb_to_latent(unsigned char r, unsigned char g, unsigned char b, mixbox_latent out_latent)
{
float_rgb_to_latent(float(r) / 255.0f, float(g) / 255.0f, float(b) / 255.0f, out_latent);
}
INLINE static void linear_float_rgb_to_latent(float r, float g, float b, mixbox_latent out_latent)
{
float_rgb_to_latent(linear_to_srgb(r),
linear_to_srgb(g),
linear_to_srgb(b),
out_latent);
}
INLINE static void latent_to_linear_float_rgb(mixbox_latent latent, float* out_r, float* out_g, float* out_b)
{
float rgb[3];
latent_to_float_rgb(latent, &rgb[0], &rgb[1], &rgb[2]);
*out_r = srgb_to_linear(rgb[0]);
*out_g = srgb_to_linear(rgb[1]);
*out_b = srgb_to_linear(rgb[2]);
}
void mixbox_rgb_to_latent(unsigned char r, unsigned char g, unsigned char b, mixbox_latent out_latent)
{
rgb_to_latent(r, g, b, out_latent);
}
void mixbox_latent_to_rgb(mixbox_latent latent, unsigned char* out_r, unsigned char* out_g, unsigned char* out_b)
{
latent_to_rgb(latent, out_r, out_g, out_b);
}
void mixbox_float_rgb_to_latent(float r, float g, float b, mixbox_latent out_latent)
{
float_rgb_to_latent(r, g, b, out_latent);
}
void mixbox_linear_float_rgb_to_latent(float r, float g, float b, mixbox_latent out_latent)
{
linear_float_rgb_to_latent(r, g, b, out_latent);
}
void mixbox_latent_to_float_rgb(mixbox_latent latent, float* out_r, float* out_g, float* out_b)
{
latent_to_float_rgb(latent, out_r, out_g, out_b);
}
void mixbox_latent_to_linear_float_rgb(mixbox_latent latent, float* out_r, float* out_g, float* out_b)
{
latent_to_linear_float_rgb(latent, out_r, out_g, out_b);
}
void mixbox_lerp(unsigned char r1, unsigned char g1, unsigned char b1,
unsigned char r2, unsigned char g2, unsigned char b2,
float t,
unsigned char* out_r, unsigned char* out_g, unsigned char* out_b)
{
mixbox_latent latent1;
mixbox_latent latent2;
rgb_to_latent(r1, g1, b1, latent1);
rgb_to_latent(r2, g2, b2, latent2);
mixbox_latent latent_mix;
for (int i = 0; i < MIXBOX_LATENT_SIZE; i++)
{
latent_mix[i] = (1.0f-t)*latent1[i] + t*latent2[i];
}
latent_to_rgb(latent_mix, out_r, out_g, out_b);
}
void mixbox_lerp_float(float r1, float g1, float b1,
float r2, float g2, float b2,
float t,
float* out_r, float* out_g, float* out_b)
{
mixbox_latent latent1;
mixbox_latent latent2;
float_rgb_to_latent(r1, g1, b1, latent1);
float_rgb_to_latent(r2, g2, b2, latent2);
mixbox_latent latent_mix;
for (int i = 0; i < MIXBOX_LATENT_SIZE; i++)
{
latent_mix[i] = (1.0f-t)*latent1[i] + t*latent2[i];
}
latent_to_float_rgb(latent_mix, out_r, out_g, out_b);
}
void mixbox_lerp_linear_float(float r1, float g1, float b1,
float r2, float g2, float b2,
float t,
float* out_r, float* out_g, float* out_b)
{
mixbox_latent latent1;
mixbox_latent latent2;
linear_float_rgb_to_latent(r1, g1, b1, latent1);
linear_float_rgb_to_latent(r2, g2, b2, latent2);
mixbox_latent latent_mix;
for (int i = 0; i < MIXBOX_LATENT_SIZE; i++)
{
latent_mix[i] = (1.0f-t)*latent1[i] + t*latent2[i];
}
latent_to_linear_float_rgb(latent_mix, out_r, out_g, out_b);
}
static const char* mixbox_lut_compressed[] =
{
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};
#ifdef _MSC_VER
typedef unsigned short uint16;
typedef signed short int16;
typedef unsigned int uint32;
typedef signed int int32;
#else
#include <stdint.h>
typedef uint16_t uint16;
typedef int16_t int16;
typedef uint32_t uint32;
typedef int32_t int32;
#endif
#define ZFAST_BITS 9
#define ZFAST_MASK ((1 << ZFAST_BITS) - 1)
struct zhuffman
{
uint16 fast[1 << ZFAST_BITS];
uint16 firstcode[16];
int maxcode[17];
uint16 firstsymbol[16];
unsigned char size[288];
uint16 value[288];
};
INLINE static int bitreverse16(int n)
{
n = ((n & 0xAAAA) >> 1) | ((n & 0x5555) << 1);
n = ((n & 0xCCCC) >> 2) | ((n & 0x3333) << 2);
n = ((n & 0xF0F0) >> 4) | ((n & 0x0F0F) << 4);
n = ((n & 0xFF00) >> 8) | ((n & 0x00FF) << 8);
return n;
}
INLINE static int bit_reverse(int v, int bits)
{
return bitreverse16(v) >> (16-bits);
}
static int zbuild_huffman(zhuffman* z, const unsigned char* sizelist, int num)
{
int i,k=0;
int code, next_code[16], sizes[17];
for (i = 0; i < 17; i++) sizes[i] = 0;
for (i = 0; i < (1 << ZFAST_BITS); i++) z->fast[i] = 0;
for (i = 0; i < num; i++) ++sizes[sizelist[i]];
sizes[0] = 0;
code = 0;
for (i = 1; i < 16; i++) {
next_code[i] = code;
z->firstcode[i] = (uint16)code;
z->firstsymbol[i] = (uint16)k;
code = (code + sizes[i]);
if (sizes[i])
if (code-1 >= (1 << i)) return 0;
z->maxcode[i] = code << (16 - i);
code <<= 1;
k += sizes[i];
}
z->maxcode[16] = 0x10000;
for (i = 0; i < num; i++) {
int s = sizelist[i];
if (s) {
int c = next_code[s] - z->firstcode[s] + z->firstsymbol[s];
uint16 fastv = (uint16)((s << 9) | i);
z->size[c] = (unsigned char)s;
z->value[c] = (uint16)i;
if (s <= ZFAST_BITS) {
int j = bit_reverse(next_code[s],s);
while (j < (1 << ZFAST_BITS)) {
z->fast[j] = fastv;
j += (1 << s);
}
}
++next_code[s];
}
}
return 1;
}
struct zbuf
{
const char* b85_input;
int b85_row;
int b85_in_pos;
int b85_out_pos;
unsigned char b85_decode_buffer[4];
int num_bits;
uint32 code_buffer;
char *zout;
char *zout_start;
char *zout_end;
int eof;
zhuffman z_length, z_distance;
};
INLINE static unsigned char decode_b85_char(char c)
{
return (c >= 92) ? c - 36 : c - 35;
}
INLINE static unsigned char zget8(zbuf* z)
{
const int num_rows = sizeof(mixbox_lut_compressed) / sizeof(mixbox_lut_compressed[0]);
if ((z->b85_out_pos & 3) == 0)
{
if (z->b85_input[z->b85_in_pos] == 0)
{
z->b85_row += 1;
if (z->b85_row >= num_rows) { z->eof = 1; return 0; }
z->b85_input = mixbox_lut_compressed[z->b85_row];
z->b85_in_pos = 0;
}
const unsigned int block = decode_b85_char(z->b85_input[z->b85_in_pos + 0]) +
85*(decode_b85_char(z->b85_input[z->b85_in_pos + 1]) +
85*(decode_b85_char(z->b85_input[z->b85_in_pos + 2]) +
85*(decode_b85_char(z->b85_input[z->b85_in_pos + 3]) +
85*decode_b85_char(z->b85_input[z->b85_in_pos + 4]))));
z->b85_decode_buffer[0] = (block & 0xFF);
z->b85_decode_buffer[1] = ((block >> 8) & 0xFF);
z->b85_decode_buffer[2] = ((block >> 16) & 0xFF);
z->b85_decode_buffer[3] = ((block >> 24) & 0xFF);
z->b85_in_pos += 5;
}
const unsigned char val = z->b85_decode_buffer[z->b85_out_pos & 3];
z->b85_out_pos++;
return val;
}
static void fill_bits(zbuf* z)
{
do {
if (z->code_buffer >= (1U << z->num_bits)) {
z->eof = 1;
return;
}
z->code_buffer |= (unsigned int)zget8(z) << z->num_bits;
z->num_bits += 8;
} while (z->num_bits <= 24);
}
INLINE static unsigned int zreceive(zbuf* z, int n)
{
unsigned int k;
if (z->num_bits < n) fill_bits(z);
k = z->code_buffer & ((1 << n) - 1);
z->code_buffer >>= n;
z->num_bits -= n;
return k;
}
static int zhuffman_decode_slowpath(zbuf* a, zhuffman* z)
{
int b,s,k;
k = bit_reverse(a->code_buffer, 16);
for (s = ZFAST_BITS+1; ; ++s)
if (k < z->maxcode[s])
break;
if (s >= 16) return -1;
b = (k >> (16-s)) - z->firstcode[s] + z->firstsymbol[s];
if (b >= 288) return -1;
if (z->size[b] != s) return -1;
a->code_buffer >>= s;
a->num_bits -= s;
return z->value[b];
}
INLINE static int zhuffman_decode(zbuf* a, zhuffman* z)
{
int b,s;
if (a->num_bits < 16) {
if (a->eof) {
return -1;
}
fill_bits(a);
}
b = z->fast[a->code_buffer & ZFAST_MASK];
if (b) {
s = b >> 9;
a->code_buffer >>= s;
a->num_bits -= s;
return b & 511;
}
return zhuffman_decode_slowpath(a, z);
}
static const int zlength_base[31] =
{
3, 4, 5, 6, 7, 8, 9, 10, 11, 13,
15, 17, 19, 23, 27, 31, 35, 43, 51, 59,
67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0
};
static const int zlength_extra[31] =
{
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 0, 0, 0
};
static const int zdist_base[32] =
{
1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193, 257, 385, 513, 769,
1025, 1537, 2049, 3073, 4097, 6145, 8193, 12289, 16385, 24577, 0, 0
};
static const int zdist_extra[32] =
{
0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13
};
static int parse_huffman_block(zbuf* a)
{
char* zout = a->zout;
for(;;) {
int z = zhuffman_decode(a, &a->z_length);
if (z < 256) {
if (z < 0) return 0;
if (zout >= a->zout_end) return 0;
*zout++ = (char) z;
} else {
unsigned char* p;
int len,dist;
if (z == 256) {
a->zout = zout;
return 1;
}
z -= 257;
len = zlength_base[z];
if (zlength_extra[z]) len += zreceive(a, zlength_extra[z]);
z = zhuffman_decode(a, &a->z_distance);
if (z < 0) return 0;
dist = zdist_base[z];
if (zdist_extra[z]) dist += zreceive(a, zdist_extra[z]);
if (zout - a->zout_start < dist) return 0;
if (zout + len > a->zout_end) return 0;
p = (unsigned char *)(zout - dist);
if (dist == 1) {
unsigned char v = *p;
if (len) { do *zout++ = v; while (--len); }
} else {
if (len) { do *zout++ = *p++; while (--len); }
}
}
}
}
static int compute_huffman_codes(zbuf* a)
{
static const unsigned char length_dezigzag[19] = { 16, 17, 18, 0, 8, 7, 9, 6, 10, 5, 11, 4, 12, 3, 13, 2, 14, 1, 15 };
zhuffman z_codelength;
unsigned char lencodes[286 + 32 + 137];
unsigned char codelength_sizes[19];
int i,n;
int hlit = zreceive(a, 5) + 257;
int hdist = zreceive(a, 5) + 1;
int hclen = zreceive(a, 4) + 4;
int ntot = hlit + hdist;
for (i = 0; i < 19; i++) codelength_sizes[i] = 0;
for (i = 0; i < hclen; i++) {
int s = zreceive(a, 3);
codelength_sizes[length_dezigzag[i]] = (unsigned char) s;
}
if (!zbuild_huffman(&z_codelength, codelength_sizes, 19)) return 0;
n = 0;
while (n < ntot) {
int c = zhuffman_decode(a, &z_codelength);
if (c < 0 || c >= 19) return 0;
if (c < 16)
lencodes[n++] = (unsigned char) c;
else {
unsigned char fill = 0;
if (c == 16) {
c = zreceive(a, 2) + 3;
if (n == 0) return 0;
fill = lencodes[n-1];
} else if (c == 17) {
c = zreceive(a, 3) + 3;
} else if (c == 18) {
c = zreceive(a, 7) + 11;
} else {
return 0;
}
if (ntot - n < c) return 0;
for (i = 0; i < c; i++) lencodes[n + i] = fill;
n += c;
}
}
if (n != ntot) return 0;
if (!zbuild_huffman(&a->z_length, lencodes, hlit)) return 0;
if (!zbuild_huffman(&a->z_distance, lencodes+hlit, hdist)) return 0;
return 1;
}
static int decompress(char* obuffer, int olen)
{
zbuf a;
a.b85_input = mixbox_lut_compressed[0];
a.b85_row = 0;
a.b85_in_pos = 0;
a.b85_out_pos = 0;
a.zout_start = obuffer;
a.zout = obuffer;
a.zout_end = obuffer + olen;
a.eof = 0;
int final, type;
a.num_bits = 0;
a.code_buffer = 0;
do {
final = zreceive(&a, 1);
type = zreceive(&a, 2);
if (type != 2) return 0;
if (!compute_huffman_codes(&a)) return 0;
if (!parse_huffman_block(&a)) return 0;
} while (!final);
for(int i = 0; i < olen/3; i++)
for(int c = 0; c < 3; c++)
{
obuffer[i*3 + c] = ((i & 63) ? obuffer[(i-1)*3 + c] : 127) + (obuffer[i*3 + c] - 127);
}
return 1;
}
INLINE static const unsigned char* mixbox_lut()
{
struct mixbox_init_t
{
unsigned char lut[64*64*64*3 + 12675];
mixbox_init_t() { decompress((char*)lut, sizeof(lut)); }
};
static const mixbox_init_t decompressed;
return decompressed.lut;
}