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math_color.c « intern « blenlib « blender « source - git.blender.org/blender.git - Unnamed repository; edit this file 'description' to name the repository.
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/*
 * ***** BEGIN GPL LICENSE BLOCK *****
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 *
 * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
 * All rights reserved.
 *
 * The Original Code is: some of this file.
 *
 * ***** END GPL LICENSE BLOCK *****
 * */

/** \file blender/blenlib/intern/math_color.c
 *  \ingroup bli
 */

#include <assert.h>

#include "MEM_guardedalloc.h"

#include "BLI_math.h"
#include "BLI_rand.h"
#include "BLI_utildefines.h"

#include "BLI_strict_flags.h"

void hsv_to_rgb(float h, float s, float v, float *r, float *g, float *b)
{
	if (s != 0.0f) {
		float i, f, p;
		h = (h - floorf(h)) * 6.0f;

		i = floorf(h);
		f = h - i;

		/* avoid computing q/t when not needed */
		p = (v * (1.0f - s));
#define q   (v * (1.0f - (s * f)))
#define t   (v * (1.0f - (s * (1.0f - f))))

		/* faster to compare floats then int conversion */
		if (i < 1.0f) {
			*r = v;
			*g = t;
			*b = p;
		}
		else if (i < 2.0f) {
			*r = q;
			*g = v;
			*b = p;
		}
		else if (i < 3.0f) {
			*r = p;
			*g = v;
			*b = t;
		}
		else if (i < 4.0f) {
			*r = p;
			*g = q;
			*b = v;
		}
		else if (i < 5.0f) {
			*r = t;
			*g = p;
			*b = v;
		}
		else {
			*r = v;
			*g = p;
			*b = q;
		}

#undef q
#undef t

	}
	else {
		*r = v;
		*g = v;
		*b = v;
	}
}

/* convenience function for now */
void hsv_to_rgb_v(const float hsv[3], float r_rgb[3])
{
	hsv_to_rgb(hsv[0], hsv[1], hsv[2], &r_rgb[0], &r_rgb[1], &r_rgb[2]);
}

void rgb_to_yuv(float r, float g, float b, float *ly, float *lu, float *lv)
{
	float y, u, v;
	y = 0.299f * r + 0.587f * g + 0.114f * b;
	u = -0.147f * r - 0.289f * g + 0.436f * b;
	v = 0.615f * r - 0.515f * g - 0.100f * b;

	*ly = y;
	*lu = u;
	*lv = v;
}

void yuv_to_rgb(float y, float u, float v, float *lr, float *lg, float *lb)
{
	float r, g, b;
	r = y + 1.140f * v;
	g = y - 0.394f * u - 0.581f * v;
	b = y + 2.032f * u;

	*lr = r;
	*lg = g;
	*lb = b;
}

/* The RGB inputs are supposed gamma corrected and in the range 0 - 1.0f
 *
 * Output YCC have a range of 16-235 and 16-240 except with JFIF_0_255 where the range is 0-255 */
void rgb_to_ycc(float r, float g, float b, float *ly, float *lcb, float *lcr, int colorspace)
{
	float sr, sg, sb;
	float y = 128.f, cr = 128.f, cb = 128.f;

	sr = 255.0f * r;
	sg = 255.0f * g;
	sb = 255.0f * b;

	switch (colorspace) {
		case BLI_YCC_ITU_BT601:
			y = (0.257f * sr) + (0.504f * sg) + (0.098f * sb) + 16.0f;
			cb = (-0.148f * sr) - (0.291f * sg) + (0.439f * sb) + 128.0f;
			cr = (0.439f * sr) - (0.368f * sg) - (0.071f * sb) + 128.0f;
			break;
		case BLI_YCC_ITU_BT709:
			y = (0.183f * sr) + (0.614f * sg) + (0.062f * sb) + 16.0f;
			cb = (-0.101f * sr) - (0.338f * sg) + (0.439f * sb) + 128.0f;
			cr = (0.439f * sr) - (0.399f * sg) - (0.040f * sb) + 128.0f;
			break;
		case BLI_YCC_JFIF_0_255:
			y = (0.299f * sr) + (0.587f * sg) + (0.114f * sb);
			cb = (-0.16874f * sr) - (0.33126f * sg) + (0.5f * sb) + 128.0f;
			cr = (0.5f * sr) - (0.41869f * sg) - (0.08131f * sb) + 128.0f;
			break;
		default:
			assert(!"invalid colorspace");
			break;
	}

	*ly = y;
	*lcb = cb;
	*lcr = cr;
}


/* YCC input have a range of 16-235 and 16-240 except with JFIF_0_255 where the range is 0-255 */
/* RGB outputs are in the range 0 - 1.0f */

/* FIXME comment above must be wrong because BLI_YCC_ITU_BT601 y 16.0 cr 16.0 -> r -0.7009 */
void ycc_to_rgb(float y, float cb, float cr, float *lr, float *lg, float *lb, int colorspace)
{
	float r = 128.f, g = 128.f, b = 128.f;

	switch (colorspace) {
		case BLI_YCC_ITU_BT601:
			r = 1.164f * (y - 16.0f) + 1.596f * (cr - 128.0f);
			g = 1.164f * (y - 16.0f) - 0.813f * (cr - 128.0f) - 0.392f * (cb - 128.0f);
			b = 1.164f * (y - 16.0f) + 2.017f * (cb - 128.0f);
			break;
		case BLI_YCC_ITU_BT709:
			r = 1.164f * (y - 16.0f) + 1.793f * (cr - 128.0f);
			g = 1.164f * (y - 16.0f) - 0.534f * (cr - 128.0f) - 0.213f * (cb - 128.0f);
			b = 1.164f * (y - 16.0f) + 2.115f * (cb - 128.0f);
			break;
		case BLI_YCC_JFIF_0_255:
			r = y + 1.402f * cr - 179.456f;
			g = y - 0.34414f * cb - 0.71414f * cr + 135.45984f;
			b = y + 1.772f * cb - 226.816f;
			break;
		default:
			BLI_assert(0);
			break;
	}
	*lr = r / 255.0f;
	*lg = g / 255.0f;
	*lb = b / 255.0f;
}

void hex_to_rgb(char *hexcol, float *r, float *g, float *b)
{
	unsigned int ri, gi, bi;

	if (hexcol[0] == '#') hexcol++;

	if (sscanf(hexcol, "%02x%02x%02x", &ri, &gi, &bi) == 3) {
		/* six digit hex colors */
	}
	else if (sscanf(hexcol, "%01x%01x%01x", &ri, &gi, &bi) == 3) {
		/* three digit hex colors (#123 becomes #112233) */
		ri += ri << 4;
		gi += gi << 4;
		bi += bi << 4;
	}
	else {
		/* avoid using un-initialized vars */
		*r = *g = *b = 0.0f;
		return;
	}

	*r = (float)ri * (1.0f / 255.0f);
	*g = (float)gi * (1.0f / 255.0f);
	*b = (float)bi * (1.0f / 255.0f);
	CLAMP(*r, 0.0f, 1.0f);
	CLAMP(*g, 0.0f, 1.0f);
	CLAMP(*b, 0.0f, 1.0f);
}

void rgb_to_hsv(float r, float g, float b, float *lh, float *ls, float *lv)
{
	float h, s, v;
	float cmax, cmin;

	cmax = r;
	cmin = r;
	cmax = (g > cmax ? g : cmax);
	cmin = (g < cmin ? g : cmin);
	cmax = (b > cmax ? b : cmax);
	cmin = (b < cmin ? b : cmin);

	v = cmax; /* value */
	if (cmax != 0.0f) {
		float cdelta;

		cdelta = cmax - cmin;
		s = cdelta / cmax;

		if (s != 0.0f) {
			float rc, gc, bc;

			rc = (cmax - r) / cdelta;
			gc = (cmax - g) / cdelta;
			bc = (cmax - b) / cdelta;

			if (r == cmax) {
				h = bc - gc;
				if (h < 0.0f) {
					h += 6.0f;
				}
			}
			else if (g == cmax) {
				h = 2.0f + rc - bc;
			}
			else {
				h = 4.0f + gc - rc;
			}

			h *= (1.0f / 6.0f);
		}
		else {
			h = 0.0f;
		}
	}
	else {
		h = 0.0f;
		s = 0.0f;
	}

	*lh = h;
	*ls = s;
	*lv = v;
}

/* convenience function for now */
void rgb_to_hsv_v(const float rgb[3], float r_hsv[3])
{
	rgb_to_hsv(rgb[0], rgb[1], rgb[2], &r_hsv[0], &r_hsv[1], &r_hsv[2]);
}

void rgb_to_hsl(float r, float g, float b, float *lh, float *ls, float *ll)
{
	const float cmax = max_fff(r, g, b);
	const float cmin = min_fff(r, g, b);
	float h, s, l = (cmax + cmin) / 2.0f;

	if (cmax == cmin) {
		h = s = 0.0f; // achromatic
	}
	else {
		float d = cmax - cmin;
		s = l > 0.5f ? d / (2.0f - cmax - cmin) : d / (cmax + cmin);
		if (cmax == r) {
			h = (g - b) / d + (g < b ? 6.0f : 0.0f);
		}
		else if (cmax == g) {
			h = (b - r) / d + 2.0f;
		}
		else {
			h = (r - g) / d + 4.0f;
		}
	}
	h /= 6.0f;

	*lh = h;
	*ls = s;
	*ll = l;
}

/* convenience function for now */
void rgb_to_hsl_v(const float rgb[3], float r_hsl[3])
{
	rgb_to_hsl(rgb[0], rgb[1], rgb[2], &r_hsl[0], &r_hsl[1], &r_hsl[2]);
}

void rgb_to_hsv_compat(float r, float g, float b, float *lh, float *ls, float *lv)
{
	float orig_h = *lh;
	float orig_s = *ls;

	rgb_to_hsv(r, g, b, lh, ls, lv);

	if (*lv <= 0.0f) {
		*lh = orig_h;
		*ls = orig_s;
	}
	else if (*ls <= 0.0f) {
		*lh = orig_h;
	}

	if (*lh == 0.0f && orig_h >= 1.0f) {
		*lh = 1.0f;
	}
}

/* convenience function for now */
void rgb_to_hsv_compat_v(const float rgb[3], float r_hsv[3])
{
	rgb_to_hsv_compat(rgb[0], rgb[1], rgb[2], &r_hsv[0], &r_hsv[1], &r_hsv[2]);
}

/*http://brucelindbloom.com/index.html?Eqn_RGB_XYZ_Matrix.html */

void xyz_to_rgb(float xc, float yc, float zc, float *r, float *g, float *b, int colorspace)
{
	switch (colorspace) {
		case BLI_XYZ_SMPTE:
			*r = (3.50570f * xc) + (-1.73964f * yc) + (-0.544011f * zc);
			*g = (-1.06906f * xc) + (1.97781f * yc) + (0.0351720f * zc);
			*b = (0.0563117f * xc) + (-0.196994f * yc) + (1.05005f * zc);
			break;
		case BLI_XYZ_REC709_SRGB:
			*r = (3.240476f * xc) + (-1.537150f * yc) + (-0.498535f * zc);
			*g = (-0.969256f * xc) + (1.875992f * yc) + (0.041556f * zc);
			*b = (0.055648f * xc) + (-0.204043f * yc) + (1.057311f * zc);
			break;
		case BLI_XYZ_CIE:
			*r = (2.28783848734076f * xc) + (-0.833367677835217f * yc) + (-0.454470795871421f * zc);
			*g = (-0.511651380743862f * xc) + (1.42275837632178f * yc) + (0.0888930017552939f * zc);
			*b = (0.00572040983140966f * xc) + (-0.0159068485104036f * yc) + (1.0101864083734f * zc);
			break;
	}
}

/* we define a 'cpack' here as a (3 byte color code) number that can be expressed like 0xFFAA66 or so.
 * for that reason it is sensitive for endianness... with this function it works correctly
 */

unsigned int hsv_to_cpack(float h, float s, float v)
{
	unsigned int r, g, b;
	float rf, gf, bf;
	unsigned int col;

	hsv_to_rgb(h, s, v, &rf, &gf, &bf);

	r = (unsigned int) (rf * 255.0f);
	g = (unsigned int) (gf * 255.0f);
	b = (unsigned int) (bf * 255.0f);

	col = (r + (g * 256) + (b * 256 * 256));
	return col;
}

unsigned int rgb_to_cpack(float r, float g, float b)
{
	unsigned int ir, ig, ib;

	ir = (unsigned int)floorf(255.0f * max_ff(r, 0.0f));
	ig = (unsigned int)floorf(255.0f * max_ff(g, 0.0f));
	ib = (unsigned int)floorf(255.0f * max_ff(b, 0.0f));

	if (ir > 255) ir = 255;
	if (ig > 255) ig = 255;
	if (ib > 255) ib = 255;

	return (ir + (ig * 256) + (ib * 256 * 256));
}

void cpack_to_rgb(unsigned int col, float *r, float *g, float *b)
{
	*r = ((float)(((col)      ) & 0xFF)) * (1.0f / 255.0f);
	*g = ((float)(((col) >>  8) & 0xFF)) * (1.0f / 255.0f);
	*b = ((float)(((col) >> 16) & 0xFF)) * (1.0f / 255.0f);
}

void rgb_uchar_to_float(float col_r[3], const unsigned char col_ub[3])
{
	col_r[0] = ((float)col_ub[0]) * (1.0f / 255.0f);
	col_r[1] = ((float)col_ub[1]) * (1.0f / 255.0f);
	col_r[2] = ((float)col_ub[2]) * (1.0f / 255.0f);
}

void rgba_uchar_to_float(float col_r[4], const unsigned char col_ub[4])
{
	col_r[0] = ((float)col_ub[0]) * (1.0f / 255.0f);
	col_r[1] = ((float)col_ub[1]) * (1.0f / 255.0f);
	col_r[2] = ((float)col_ub[2]) * (1.0f / 255.0f);
	col_r[3] = ((float)col_ub[3]) * (1.0f / 255.0f);
}

void rgb_float_to_uchar(unsigned char col_r[3], const float col_f[3])
{
	F3TOCHAR3(col_f, col_r);
}

void rgba_float_to_uchar(unsigned char col_r[4], const float col_f[4])
{
	F4TOCHAR4(col_f, col_r);
}

/* ********************************* color transforms ********************************* */


void gamma_correct(float *c, float gamma)
{
	*c = powf((*c), gamma);
}

float rec709_to_linearrgb(float c)
{
	if (c < 0.081f)
		return (c < 0.0f) ? 0.0f : c * (1.0f / 4.5f);
	else
		return powf((c + 0.099f) * (1.0f / 1.099f), (1.0f / 0.45f));
}

float linearrgb_to_rec709(float c)
{
	if (c < 0.018f)
		return (c < 0.0f) ? 0.0f : c * 4.5f;
	else
		return 1.099f * powf(c, 0.45f) - 0.099f;
}

float srgb_to_linearrgb(float c)
{
	if (c < 0.04045f)
		return (c < 0.0f) ? 0.0f : c * (1.0f / 12.92f);
	else
		return powf((c + 0.055f) * (1.0f / 1.055f), 2.4f);
}

float linearrgb_to_srgb(float c)
{
	if (c < 0.0031308f)
		return (c < 0.0f) ? 0.0f : c * 12.92f;
	else
		return 1.055f * powf(c, 1.0f / 2.4f) - 0.055f;
}

void minmax_rgb(short c[3])
{
	if (c[0] > 255) c[0] = 255;
	else if (c[0] < 0) c[0] = 0;
	if (c[1] > 255) c[1] = 255;
	else if (c[1] < 0) c[1] = 0;
	if (c[2] > 255) c[2] = 255;
	else if (c[2] < 0) c[2] = 0;
}

/*If the requested RGB shade contains a negative weight for
 * one of the primaries, it lies outside the color gamut
 * accessible from the given triple of primaries.  Desaturate
 * it by adding white, equal quantities of R, G, and B, enough
 * to make RGB all positive.  The function returns 1 if the
 * components were modified, zero otherwise.*/
int constrain_rgb(float *r, float *g, float *b)
{
	float w;

	/* Amount of white needed is w = - min(0, *r, *g, *b) */

	w = (0 < *r) ? 0 : *r;
	w = (w < *g) ? w : *g;
	w = (w < *b) ? w : *b;
	w = -w;

	/* Add just enough white to make r, g, b all positive. */

	if (w > 0) {
		*r += w;
		*g += w;
		*b += w;
		return 1; /* Color modified to fit RGB gamut */
	}

	return 0; /* Color within RGB gamut */
}

/* ********************************* lift/gamma/gain / ASC-CDL conversion ********************************* */

void lift_gamma_gain_to_asc_cdl(float *lift, float *gamma, float *gain, float *offset, float *slope, float *power)
{
	int c;
	for (c = 0; c < 3; c++) {
		offset[c] = lift[c] * gain[c];
		slope[c] = gain[c] * (1.0f - lift[c]);
		if (gamma[c] == 0)
			power[c] = FLT_MAX;
		else
			power[c] = 1.0f / gamma[c];
	}
}

/* ******************************************** other ************************************************* */

/* Applies an hue offset to a float rgb color */
void rgb_float_set_hue_float_offset(float rgb[3], float hue_offset)
{
	float hsv[3];

	rgb_to_hsv(rgb[0], rgb[1], rgb[2], hsv, hsv + 1, hsv + 2);

	hsv[0] += hue_offset;
	if (hsv[0] > 1.0f) hsv[0] -= 1.0f;
	else if (hsv[0] < 0.0f) hsv[0] += 1.0f;

	hsv_to_rgb(hsv[0], hsv[1], hsv[2], rgb, rgb + 1, rgb + 2);
}

/* Applies an hue offset to a byte rgb color */
void rgb_byte_set_hue_float_offset(unsigned char rgb[3], float hue_offset)
{
	float rgb_float[3];

	rgb_uchar_to_float(rgb_float, rgb);
	rgb_float_set_hue_float_offset(rgb_float, hue_offset);
	rgb_float_to_uchar(rgb, rgb_float);
}


/* fast sRGB conversion
 * LUT from linear float to 16-bit short
 * based on http://mysite.verizon.net/spitzak/conversion/
 */

float BLI_color_from_srgb_table[256];
unsigned short BLI_color_to_srgb_table[0x10000];

static unsigned short hipart(const float f)
{
	union {
		float f;
		unsigned short us[2];
	} tmp;

	tmp.f = f;

#ifdef __BIG_ENDIAN__
	return tmp.us[0];
#else
	return tmp.us[1];
#endif
}

static float index_to_float(const unsigned short i)
{

	union {
		float f;
		unsigned short us[2];
	} tmp;

	/* positive and negative zeros, and all gradual underflow, turn into zero: */
	if (i < 0x80 || (i >= 0x8000 && i < 0x8080)) return 0;
	/* All NaN's and infinity turn into the largest possible legal float: */
	if (i >= 0x7f80 && i < 0x8000) return FLT_MAX;
	if (i >= 0xff80) return -FLT_MAX;

#ifdef __BIG_ENDIAN__
	tmp.us[0] = i;
	tmp.us[1] = 0x8000;
#else
	tmp.us[0] = 0x8000;
	tmp.us[1] = i;
#endif

	return tmp.f;
}

void BLI_init_srgb_conversion(void)
{
	static int initialized = 0;
	unsigned int i, b;

	if (initialized) return;
	initialized = 1;

	/* Fill in the lookup table to convert floats to bytes: */
	for (i = 0; i < 0x10000; i++) {
		float f = linearrgb_to_srgb(index_to_float((unsigned short)i)) * 255.0f;
		if (f <= 0) BLI_color_to_srgb_table[i] = 0;
		else if (f < 255) BLI_color_to_srgb_table[i] = (unsigned short) (f * 0x100 + 0.5f);
		else BLI_color_to_srgb_table[i] = 0xff00;
	}

	/* Fill in the lookup table to convert bytes to float: */
	for (b = 0; b <= 255; b++) {
		float f = srgb_to_linearrgb(((float)b) * (1.0f / 255.0f));
		BLI_color_from_srgb_table[b] = f;
		i = hipart(f);
		/* replace entries so byte->float->byte does not change the data: */
		BLI_color_to_srgb_table[i] = (unsigned short)(b * 0x100);
	}
}
static float inverse_srgb_companding(float v)
{
	if (v > 0.04045f) {
		return powf((v + 0.055f) / 1.055f, 2.4f);
	}
	else {
		return v / 12.92f;
	}
}

void rgb_to_xyz(float r, float g, float b, float *x, float *y, float *z)
{
	r = inverse_srgb_companding(r) * 100.0f;
	g = inverse_srgb_companding(g) * 100.0f;
	b = inverse_srgb_companding(b) * 100.0f;

	*x = r * 0.412453f + g * 0.357580f + b * 0.180423f;
	*y = r * 0.212671f + g * 0.715160f + b * 0.072169f;
	*z = r * 0.019334f + g * 0.119193f + b * 0.950227f;
}

static float xyz_to_lab_component(float v)
{
	const float eps = 0.008856f;
	const float k = 903.3f;

	if (v > eps) {
		return powf(v, 1.0f / 3.0f);
	}
	else {
		return (k * v + 16.0f) / 116.0f;
	}
}

void xyz_to_lab(float x, float y, float z, float *l, float *a, float *b)
{
	float xr = x / 95.047f;
	float yr = y / 100.0f;
	float zr = z / 108.883f;

	float fx = xyz_to_lab_component(xr);
	float fy = xyz_to_lab_component(yr);
	float fz = xyz_to_lab_component(zr);

	*l = 116.0f * fy - 16.0f;
	*a = 500.0f * (fx - fy);
	*b = 200.0f * (fy - fz);
}

void rgb_to_lab(float r, float g, float b, float *ll, float *la, float *lb)
{
	float x, y, z;
	rgb_to_xyz(r, g, b, &x, &y, &z);
	xyz_to_lab(x, y, z, ll, la, lb);
}