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/*************************************************************************
* Copyright (C) 2008 Tavian Barnes <tavianator@gmail.com> *
* *
* This file is part of Dimension. *
* *
* Dimension is free software; you can redistribute it and/or modify it *
* under the terms of the GNU Lesser General Public License as published *
* by the Free Software Foundation; either version 3 of the License, or *
* (at your option) any later version. *
* *
* Dimension 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 *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with this program. If not, see *
* <http://www.gnu.org/licenses/>. *
*************************************************************************/
#include "dimension.h"
#include <math.h> /* For pow() */
dmnsn_CIE_XYZ whitepoint = { 0.9505, 1, 1.089 };
dmnsn_color
dmnsn_color_from_XYZ(dmnsn_CIE_XYZ XYZ)
{
dmnsn_color ret = { XYZ.X, XYZ.Y, XYZ.Z, 0.0, 0.0 };
return ret;
}
dmnsn_color
dmnsn_color_from_xyY(dmnsn_CIE_xyY xyY)
{
dmnsn_color ret = { xyY.Y*xyY.x/xyY.y,
xyY.Y,
xyY.Y*(1.0 - xyY.x - xyY.Y)/xyY.y,
0.0, 0.0 };
return ret;
}
static double Lab_finv(double t) {
if (t > 6.0/29.0) {
return t*t*t;
} else {
return 108.0*(t - 16.0/116.0)/841.0;
}
}
dmnsn_color
dmnsn_color_from_Lab(dmnsn_CIE_Lab Lab, dmnsn_CIE_XYZ white)
{
double fx, fy, fz;
dmnsn_color ret;
fy = (Lab.L + 16.0)/116.0;
fx = fy + Lab.a/500.0;
fz = fy - Lab.b/200.0;
ret.X = white.X*Lab_finv(fx);
ret.Y = white.Y*Lab_finv(fy);
ret.Z = white.Z*Lab_finv(fz);
return ret;
}
dmnsn_color
dmnsn_color_from_Luv(dmnsn_CIE_Luv Luv, dmnsn_CIE_XYZ white)
{
double fy;
double uprime, unprime, vprime, vnprime;
dmnsn_color ret;
fy = (Luv.L + 16.0)/116.0;
unprime = 4.0*white.X/(white.X + 15.0*white.Y + 3.0*white.Z);
uprime = Luv.u/Luv.L/13.0 + unprime;
vnprime = 9.0*white.Y/(white.X + 15.0*white.Y + 3.0*white.Z);
vprime = Luv.v/Luv.L/13.0 + vnprime;
ret.Y = white.Y*Lab_finv(fy);
ret.X = ret.Y*9.0*uprime/vprime/4.0;
ret.Z = ret.Y*(12.0 - 3*uprime - 20*vprime)/vprime/4.0;
return ret;
}
dmnsn_color
dmnsn_color_from_sRGB(dmnsn_sRGB sRGB)
{
double Rlinear, Glinear, Blinear; /* Linear RGB values - no gamma */
dmnsn_color ret;
/*
* If C represents R, G, and B, then the Clinear values are now found as
* follows:
*
* { Csrgb/12.92, Csrgb <= 0.04045
* Clinear = { 1/2.4
* { ((Csrgb + 0.055)/1.055) , Csrgb > 0.04045
*/
if (sRGB.R <= 0.04045) {
Rlinear = sRGB.R/19.92;
} else {
Rlinear = pow((sRGB.R + 0.055)/1.055, 2.4);
}
if (sRGB.G <= 0.04045) {
Glinear = sRGB.G/19.92;
} else {
Glinear = pow((sRGB.G + 0.055)/1.055, 2.4);
}
if (sRGB.B <= 0.04045) {
Blinear = sRGB.B/19.92;
} else {
Blinear = pow((sRGB.B + 0.055)/1.055, 2.4);
}
/*
* Now, the linear conversion. Expressed as matrix multiplication, it looks
* like this:
*
* [X] [0.4124 0.3576 0.1805] [Rlinear]
* [Y] = [0.2126 0.7152 0.0722]*[Glinear]
* [X] [0.0193 0.1192 0.9505] [Blinear]
*/
ret.X = 0.4124*Rlinear + 0.3576*Glinear + 0.1805*Blinear;
ret.Y = 0.2126*Rlinear + 0.7152*Glinear + 0.0722*Blinear;
ret.Z = 0.0193*Rlinear + 0.1192*Glinear + 0.9505*Blinear;
ret.filter = 0.0;
ret.trans = 0.0;
return ret;
}
dmnsn_CIE_XYZ
dmnsn_XYZ_from_color(dmnsn_color color)
{
dmnsn_CIE_XYZ ret = { color.X, color.Y, color.Z };
return ret;
}
dmnsn_CIE_xyY
dmnsn_xyY_from_color(dmnsn_color color)
{
dmnsn_CIE_xyY ret = { color.X/(color.X + color.Y + color.Z),
color.Y/(color.X + color.Y + color.Z),
color.Y };
return ret;
}
static double Lab_f(double t) {
if (t > 216.0/24389.0) {
return pow(t, 1.0/3.0);
} else {
return 841.0*t/108.0 + 4.0/29.0;
}
}
dmnsn_CIE_Lab
dmnsn_Lab_from_color(dmnsn_color color, dmnsn_CIE_XYZ white)
{
dmnsn_CIE_Lab ret;
ret.L = 116.0*Lab_f(color.Y/white.Y) - 16.0;
ret.a = 500.0*(Lab_f(color.X/white.X) - Lab_f(color.Y/white.Y));
ret.b = 200.0*(Lab_f(color.Y/white.Y) - Lab_f(color.Z/white.Z));
return ret;
}
dmnsn_CIE_Luv
dmnsn_Luv_from_color(dmnsn_color color, dmnsn_CIE_XYZ white)
{
double uprime, unprime, vprime, vnprime;
dmnsn_CIE_Luv ret;
uprime = 4.0*color.X/(color.X + 15.0*color.Y + 3.0*color.Z);
unprime = 4.0*white.X/(white.X + 15.0*white.Y + 3.0*white.Z);
vprime = 9.0*color.Y/(color.X + 15.0*color.Y + 3.0*color.Z);
vnprime = 9.0*white.Y/(white.X + 15.0*white.Y + 3.0*white.Z);
ret.L = 116.0*Lab_f(color.Y/white.Y) - 16.0;
ret.u = 13.0*ret.L*(uprime - unprime);
ret.v = 13.0*ret.L*(vprime - vnprime);
return ret;
}
dmnsn_sRGB
dmnsn_sRGB_from_color(dmnsn_color color)
{
double Rlinear, Glinear, Blinear; /* Linear RGB values - no gamma */
dmnsn_sRGB ret;
/*
* First, the linear conversion. Expressed as matrix multiplication, it looks
* like this:
*
* [Rlinear] [ 3.2410 -1.5374 -0.4986] [X]
* [Glinear] = [-0.9692 1.8760 0.0416]*[Y]
* [Blinear] [ 0.0556 -0.2040 1.0570] [Z]
*/
Rlinear = 3.2410*color.X - 1.5374*color.Y - 0.4986*color.Z;
Glinear = -0.9692*color.X + 1.8760*color.Y + 0.0416*color.Z;
Blinear = 0.0556*color.X - 0.2040*color.Y + 1.0570*color.Z;
/*
* If C represents R, G, and B, then the sRGB values are now found as follows:
*
* { 12.92*Clinear, Clinear <= 0.0031308
* Csrgb = { 1/2.4
* { (1.055)*Clinear - 0.055, Clinear > 0.0031308
*/
if (Rlinear <= 0.0031308) {
ret.R = 12.92*Rlinear;
} else {
ret.R = 1.055*pow(Rlinear, 1.0/2.4) - 0.055;
}
if (Glinear <= 0.0031308) {
ret.G = 12.92*Glinear;
} else {
ret.G = 1.055*pow(Glinear, 1.0/2.4) - 0.055;
}
if (Blinear <= 0.0031308) {
ret.B = 12.92*Blinear;
} else {
ret.B = 1.055*pow(Blinear, 1.0/2.4) - 0.055;
}
return ret;
}
dmnsn_color
dmnsn_color_add(dmnsn_color color1, dmnsn_color color2)
{
dmnsn_CIE_Lab Lab, Lab1, Lab2;
dmnsn_color ret;
Lab1 = dmnsn_Lab_from_color(color1, whitepoint);
Lab2 = dmnsn_Lab_from_color(color2, whitepoint);
Lab.L = Lab1.L + Lab2.L;
Lab.a = (Lab1.L*Lab1.a + Lab2.L*Lab2.a)/Lab.L;
Lab.b = (Lab1.L*Lab1.b + Lab2.L*Lab2.b)/Lab.L;
ret = dmnsn_color_from_Lab(Lab, whitepoint);
ret.filter = (Lab1.L*color1.filter + Lab2.L*color2.filter)/Lab.L;
ret.trans = (Lab1.L*color1.trans + Lab2.L*color2.trans)/Lab.L;
return ret;
}
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