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coloroid.cpp
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// original authors: Laszlo Neumann,
// Martin Cadik
//
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include "coloroid.h"
//______________________________________________________________________________
double Coloroid::luminanceGrad(double X1, double Y1, double Z1,
double X2, double Y2, double Z2,
double *dA, double *dT, double *dV)
{
int T_lower1, T_upper1, fi_lower1, fi_upper1, V_lower1, V_upper1,
T_lower2, T_upper2, fi_lower2, fi_upper2, V_lower2, V_upper2;
double A1, T1, V1, rel_T1, mu_T_lower1, mu_fi_lower1, mu_V_lower1,
A2, T2, V2, rel_T2, mu_T_lower2, mu_fi_lower2, mu_V_lower2,
s1, s2;
GRAY_EQUI(X1, Y1, Z1, &A1, &T1, &V1,
&rel_T1, &T_lower1, &T_upper1, &mu_T_lower1,
&fi_lower1, &fi_upper1, &mu_fi_lower1,
&V_lower1, &V_upper1, &mu_V_lower1);
GRAY_EQUI(X2, Y2, Z2, &A2, &T2, &V2,
&rel_T2, &T_lower2, &T_upper2, &mu_T_lower2,
&fi_lower2, &fi_upper2, &mu_fi_lower2,
&V_lower2, &V_upper2, &mu_V_lower2);
*dT = GRAY_T_DIFF_EQUI_FOR_2_COLORS(rel_T1,
T_lower1, T_upper1, mu_T_lower1,
fi_lower1, fi_upper1, mu_fi_lower1,
V_lower1, V_upper1, mu_V_lower1,
rel_T2,
T_lower2, T_upper2, mu_T_lower2,
fi_lower2, fi_upper2, mu_fi_lower2,
V_lower2, V_upper2, mu_V_lower2);
*dA = GRAY_HUE_DIFF_EQUI(rel_T1, rel_T2,
fi_lower1, fi_upper1, mu_fi_lower1,
fi_lower2, fi_upper2, mu_fi_lower2);
*dV = V2 - V1;
constexpr const double WEIGHT_LIGHTNESS_CHROMINANCE = 3.;
return (*dV + WEIGHT_LIGHTNESS_CHROMINANCE * (*dA + *dT));
}
//==========================================================
void Coloroid::_p_C(long i1, long i2, double dx, double dy, double *q)
{
double a11, a12, a21, a22, b1, b2, D, D1, D2, t;
a11 = dx;
a21 = dy;
a12 = CIE1931_x[i1] - CIE1931_x[i2];
a22 = CIE1931_y[i1] - CIE1931_y[i2];
b1 = CIE1931_x[i1] - C_x;
b2 = CIE1931_y[i1] - C_y;
D = a11 * a22 - a12 * a21;
D1 = b1 * a22 - a12 * b2;
D2 = a11 * b2 - b1 * a21;
t = D1 / D;
*q = D2 / D;
}
//============================================================
void Coloroid::_p_D65(long i1, long i2, double dx, double dy, double *q)
{
double a11, a12, a21, a22, b1, b2, D, D1, D2, t;
a11 = dx;
a21 = dy;
a12 = CIE1931_x[i1] - CIE1931_x[i2];
a22 = CIE1931_y[i1] - CIE1931_y[i2];
b1 = CIE1931_x[i1] - D65_x;
b2 = CIE1931_y[i1] - D65_y;
D = a11 * a22 - a12 * a21;
D1 = b1 * a22 - a12 * b2;
D2 = a11 * b2 - b1 * a21;
t = D1 / D;
*q = D2 / D;
}
//=========================================================
bool Coloroid::xyY_XZ(double x, double y, double Y,
double *X, double *Z)
{
double s, z;
if (x < EPS_8 || y < EPS_8 || Y < EPS_5)
return false;
z = 1 - (x + y);
s = Y / y;
*X = s * x;
*Z = s * z;
return true;
}
//===========================================
void Coloroid::LIN_MIX(double q, double x1, double y1, double Y1,
double x2, double y2, double Y2,
double *x, double *y, double *X, double *Y,
double *Z, double *p)
{
//(x,y) = (1-q)*(x1,y1) + q*(x2,y2), q INPUT is known e.g. from fi
//(X,Y,X) = (1-p)*(X1,Y1,Z1) + p*(X2,Y2,Z2)
double d, dX, dY, s, X1, Z1, X2, Z2;
*x = (1 - q) * x1 + q * x2;
*y = (1 - q) * y1 + q * y2;
xyY_XZ(x1, y1, Y1, &X1, &Z1);
xyY_XZ(x2, y2, Y2, &X2, &Z2);
s = X1 + Y1 + Z1;
dX = X2 - X1;
dY = Y2 - Y1;
d = dX + dY + Z2 - Z1;
if (fabs(dX) > fabs(dY))
*p = (*x * s - X1) / (dX - *x * d);
else
*p = (*y * s - Y1) / (dY - *y * d);
*Y = (1 - *p) * Y1 + *p * Y2;
xyY_XZ(*x, *y, *Y, X, Z);
}
//=============================================================================
void Coloroid::_xy_XYZ_48_based_on_fi_C(long index, long i1, long i2, double x, double y)
{
double xx, yy, Y, X, Z, p, q;
_p_C(i1, i2, x, y, &q);
LIN_MIX(q, CIE1931_x[i1], CIE1931_y[i1], 100. * CIE1931_Y[i1],
CIE1931_x[i2], CIE1931_y[i2], 100. * CIE1931_Y[i2],
&xx, &yy, &X, &Y, &Z, &p);
xc[index] = xx;
yc[index] = yy;
Xc[index] = X;
Yc[index] = Y;
Zc[index] = Z;
}
//=============================================================================
double Coloroid::_read_data(FILE *file)
{
double szam;
long k, volt_szamjegy;
for (k = 0; k < 800; ++k)
jelsor[k] = 0;
k = volt_szamjegy = 0;
while (true)
{
jel = (unsigned char)fgetc(file);
jelsor[k] = jel;
k++;
if ('0' <= jel && jel <= '9')
++volt_szamjegy;
if (volt_szamjegy > 0 && !(jel == '.' ||
(jel >= '0' && jel <= '9') ||
jel == '-' || jel == '+'))
break;
}
szam = atof(jelsor);
return (szam);
}
//=============================================================================
void Coloroid::readSpectrumDatae()
{
FILE *spectrum_in;
short i;
double s, t;
//char c;
spectrum_in = fopen("TMOCadik08/Xyz31_1.txt", "rt");
for (i = 360; i <= 830; ++i)
{
//fscanf(spectrum_in,"%d,%f,%f,%f",&vawelength,&x,&y,&z);
_read_data(spectrum_in);
CIE1931_X[i] = _read_data(spectrum_in);
CIE1931_Y[i] = _read_data(spectrum_in);
CIE1931_Z[i] = _read_data(spectrum_in);
//ezek 100.-szorosai a hatarszinek XYZ koordinatai
t = CIE1931_X[i] + CIE1931_Y[i] + CIE1931_Z[i];
t = 1. / t;
CIE1931_x[i] = t * CIE1931_X[i];
CIE1931_y[i] = t * CIE1931_Y[i];
CIE1931_z[i] = t * CIE1931_Z[i];
t = (CIE1931_y[i] - D65_y) / (CIE1931_x[i] - D65_x);
fi_D65[i] = RAD_GRAD * atan2((CIE1931_y[i] - D65_y), (CIE1931_x[i] - D65_x));
fi_C_[i] = RAD_GRAD * atan2(CIE1931_y[i] - C_y, CIE1931_x[i] - C_x);
}
fclose(spectrum_in);
spectrum_in = fopen("TMOCadik08/LIGHTD65.TXT", "rt");
for (i = 300; i <= 830; i++)
{
_read_data(spectrum_in);
light_D65[i] = _read_data(spectrum_in);
}
fclose(spectrum_in);
for (i = 360, s = 0; i <= 830; ++i)
s += light_D65[i] * CIE1931_Y[i];
t = 100. / s;
for (i = 360; i <= 830; ++i)
light_D65_normalized[i] = light_D65[i] * t;
//for(i=360,s=0;i<=830;i++)
// s += light_D65_normalized[i] * CIE1931_y[i];
//ennek 100 az Y erteke konstans 1 reflektancia mellett
spectrum_in = fopen("TMOCadik08/light_A.txt", "rt");
for (i = 300; i <= 830; ++i)
{
_read_data(spectrum_in);
light_A[i] = _read_data(spectrum_in);
}
for (i = 360, s = 0; i <= 830; ++i)
s += light_A[i] * CIE1931_Y[i];
t = 100. / s;
for (i = 360; i <= 830; ++i)
light_A_normalized[i] = light_A[i] * t;
fclose(spectrum_in);
}
//===========================================
bool Coloroid::Coloroid_A_fi(double A_hue, double *fi)
{
//not permitted A_hue examples: -56, 9, 38, 59, 78, 103
//permitted A_hue values: 10, 11, 12, 12.46, 75.84, 76, 76.99
short k, k1, k2;
double fi1, fi2, q;
if (A_hue < 10 || A_hue > 77)
return false;
if (fabs(floor(A_hue) - A_hue) < EPS_5 ||
fabs(ceil(A_hue) - A_hue) < EPS_5)
{
k = (short)(A_hue + 0.5);
if (Aa[k] == -1)
return false;
//this A number isnt permitted
k = Aa[k];
*fi = Coloroid_fi_D65[k];
return true;
}
else
{
if (static_cast<short>(A_hue) == 60)
{
fi1 = 360. + Coloroid_fi_D65[35];
fi2 = Coloroid_fi_D65[36];
q = A_hue - 60;
*fi = (1 - q) * fi1 + q * fi2;
if (*fi > 180)
*fi -= 360;
//60 - 61 is the place of sign change
}
else
{
k1 = (short)A_hue;
q = A_hue - k1;
if (Aa[k1] == -1)
return false;
//this A number isnt permitted
k1 = Aa[k1];
k2 = k1 + 1;
if (k2 > 48)
k2 = 1;
fi1 = Coloroid_fi_D65[k1];
fi2 = Coloroid_fi_D65[k2];
*fi = (1 - q) * fi1 + q * fi2;
}
}
return true;
}
//=======================================================
void Coloroid::_7_basic_fi_computation()
{
//7_basic_fi[8]
int i;
double _FI;
for (i = 1; i <= 7; i++)
{
Coloroid_A_fi(10. * i, &_FI);
_7_basic_fi[i] = _FI;
}
}
//=======================================================
void Coloroid::_p(long i1, long i2, double dx, double dy,
double *p, double *q, double *lambda)
{
// p szintisztasagot es lambda jellemzo hullamhosszat szamitunk
// p > 1 esetben a szin nem letezik
double a11, a12, a21, a22, b1, b2, D, D1, D2, t;
a11 = dx;
a21 = dy;
a12 = CIE1931_x[i1] - CIE1931_x[i2];
a22 = CIE1931_y[i1] - CIE1931_y[i2];
b1 = CIE1931_x[i1] - D65_x;
b2 = CIE1931_y[i1] - D65_y;
D = a11 * a22 - a12 * a21;
D1 = b1 * a22 - a12 * b2;
D2 = a11 * b2 - b1 * a21;
t = D1 / D;
*q = D2 / D;
*lambda = (double)i1 + *q;
*p = 1. / t;
//q * (i2) + (1-q) * (i1)
}
//=======================================================
bool Coloroid::search(short k1, short k2, double fi,
double *lambda)
{
//assumption: fi(k1) > fi(k2)
double p, q, fi1, fi2, dx, dy;
short k;
fi1 = fi_D65[k1];
fi2 = fi_D65[k2];
if (fi1 < fi || fi2 > fi)
return false;
while (true)
{
k = (k1 + k2) / 2;
if (fi < fi_D65[k])
k1 = k;
else
k2 = k;
if (k2 - k1 == 1)
break;
}
dx = cos(GRAD_RAD * fi);
dy = sin(GRAD_RAD * fi);
_p(k1, k2, dx, dy, &p, &q, lambda);
return true;
}
//========================================
void Coloroid::fi_lambda(double fi, double *lambda)
{
// white: D65
// for purple colors lambda is negative:
// with the vawelength of complementer color
// maximum *lambda vawelength is 699 nm:
// over 699 nm the fi is constant
double f, fi0, fi1, fi2, fi699_l, fi699_u,
q, p, dx, dy;
// fi given in (-360, 360) interval
f = fi;
if (f <= -180)
f += 360;
if (f > 180)
f -= 360;
//normalization to (-180,180] interval
//[699-830]: small variance, not exactly constant CIE datae
fi699_l = -8.5863733643;
fi699_u = -8.5863553570;
//699: -8.586369
//698: -8.584490 grad
if (fi699_l < f && f < fi699_u)
{
*lambda = 699.;
return;
}
if (f > fi_D65[360] && f < fi699_l)
{
//range of purple colors
fi1 = f + 180;
search(493, 567, fi1, lambda);
*lambda = -*lambda;
return;
}
if (f < fi_D65[491] || f > fi_D65[492])
{
//change of sign interval
dx = cos(GRAD_RAD * fi);
dy = sin(GRAD_RAD * fi);
_p(491, 492, dx, dy, &p, &q, lambda);
//491,492 nm is the place of sign change
return;
}
if (f <= fi_D65[360] && f >= fi_D65[491])
{
search(360, 491, f, lambda);
return;
}
if (f <= fi_D65[492] && f > fi699_u)
search(492, 699, f, lambda);
}
//======================================
void Coloroid::_fi_lambda_C(long index, double fi)
{
long i, i1, i2;
double f, x, y;
x = cos(GRAD_RAD * fi); // /10.;
y = sin(GRAD_RAD * fi); // /10.;
f = fi;
if (fabs(f - fi_C_[450]) < EPS_6)
{
xc[index] = CIE1931_x[450];
yc[index] = CIE1931_y[450];
Xc[index] = 100. * CIE1931_X[450];
Yc[index] = 100. * CIE1931_Y[450];
Zc[index] = 100. * CIE1931_Z[450];
return;
}
if (fabs(f - fi_C_[625]) < EPS_6)
{
xc[index] = CIE1931_x[625];
yc[index] = CIE1931_y[625];
Xc[index] = 100. * CIE1931_X[625];
Yc[index] = 100. * CIE1931_Y[625];
Zc[index] = 100. * CIE1931_Z[625];
;
return;
}
if (f < fi_C_[490] || f > fi_C_[491])
{
//fi elojelvaltasi helye
i1 = 490;
i2 = 491;
_xy_XYZ_48_based_on_fi_C(index, i1, i2, x, y);
return;
}
if (f < fi_C_[625] && f > fi_C_[450])
{
//biborszin tartomany
i1 = 450;
i2 = 625;
_xy_XYZ_48_based_on_fi_C(index, i1, i2, x, y);
return;
}
if (f <= fi_C_[450])
{
for (i = 451; i <= 490; ++i)
if (f > fi_C_[i])
{
i1 = i - 1;
i2 = i;
_xy_XYZ_48_based_on_fi_C(index, i1, i2, x, y);
return;
}
}
for (i = 491; i <= 625; ++i)
if (f > fi_C_[i])
{
i1 = i - 1;
i2 = i;
_xy_XYZ_48_based_on_fi_C(index, i1, i2, x, y);
return;
}
}
void Coloroid::readColoroidDatae()
{
double f, fi, lambda;
long i, j;
FILE *inp, *tab;
for (i = 0; i < 77; ++i)
Aa[i] = -1;
inp = fopen("TMOCadik08/Coloroid.txt", "rt");
tab = fopen("TMOCadik08/coloroid_datae.txt", "wt");
//coltab=fopen("Coloroid.dat","wb");
for (i = 1; i <= 48; ++i)
{
//fscanf(inp,"%d %f\n",&j,&f);
A[i] = j = (long)_read_data(inp);
Aa[j] = i;
fi_C[i] = f = _read_data(inp);
_fi_lambda_C(i, f);
fi = Coloroid_fi_D65[i] = RAD_GRAD * atan2(yc[i] - D65_y, xc[i] - D65_x);
fi_lambda(fi, &lambda);
fprintf(tab, "\n A=%2ld %8.3lf nm fi_D=%10.5lf x=%7.5lf y=%7.5lf Y=%8.5lf fi_C=%10.5lf",
A[i], lambda, fi, xc[i], yc[i], Yc[i], fi_C[i]);
/*
k = A[i];
fwrite(&k,1,2,coltab);
s = lambda;
fwrite(&s,1,8,coltab);
s = xc[i];
fwrite(&s,1,8,coltab);
s = yc[i];
fwrite(&s,1,8,coltab);
s = Xc[i];
fwrite(&s,1,8,coltab);
s = Yc[i];
fwrite(&s,1,8,coltab);
s = Zc[i];
fwrite(&s,1,8,coltab);
s = fi_C[i];
fwrite(&s,1,8,coltab);
s = Coloroid_fi_D65[i];
fwrite(&s,1,8,coltab);*/
}
fclose(inp);
fclose(tab);
//fclose(coltab);
}
//===========================================
void Coloroid::fi_Coloroid_A(double fi, double *A_hue)
{
short k, k1, k2;
double f, fi1, fi2, dfi, dfi12, q;
// fi given in (-360, 360) interval
f = fi;
if (f <= -180)
f += 360;
if (f > 180)
f -= 360;
//normalization to (-180,180] interval
if (f <= Coloroid_fi_D65[35] || f >= Coloroid_fi_D65[36])
{
fi1 = 360. + Coloroid_fi_D65[35];
fi2 = Coloroid_fi_D65[36];
if (f < 0)
f += 360;
dfi12 = fi1 - fi2;
dfi = fi1 - f;
q = dfi / dfi12;
*A_hue = 60. + q;
return;
}
k1 = 35 + 48;
k2 = 36;
while (true)
{
k = (k1 + k2) / 2;
if (f < Coloroid_fi_D65[k > 48 ? (k - 48) : k])
k2 = k;
else
k1 = k;
if (k1 - k2 == 1)
break;
}
dfi12 = Coloroid_fi_D65[k1 > 48 ? (k1 - 48) : k1] -
Coloroid_fi_D65[k2 > 48 ? (k2 - 48) : k2];
dfi = f - Coloroid_fi_D65[k2 > 48 ? (k2 - 48) : k2];
q = dfi / dfi12;
if (fabs(q - 1) < EPS_5)
{
k2++;
q = 0;
}
*A_hue = (double)A[k2 > 48 ? (k2 - 48) : k2] + q;
return;
}
//______________________________________________________________________________
bool Coloroid::readColor2GrayDatae()
{
FILE *inp, *tab;
long i, j, k, i1, j1, tel;
double g, s, _A, _T, _V, _V45, _V65, _V85, _T45, _T65, _T85;
inp = fopen("TMOCadik08/COLOR_GRAY_UNIF.txt", "rt");
tab = fopen("TMOCadik08/GOLOR2GRAY_datae.txt", "wt");
for (i = 1; i <= 16; i++)
{
pair_rel_gray[i] = _read_data(inp);
pairs[i].A1 = _read_data(inp);
pairs[i].T1 = _read_data(inp);
pairs[i].V1 = _read_data(inp);
pairs[i].A2 = _read_data(inp);
pairs[i].T2 = _read_data(inp);
pairs[i].V2 = _read_data(inp);
g = _read_data(inp);
if (fabs(g + pair_rel_gray[i]) > 1E-8)
return true;
fprintf(tab, "\n\n\ti=%2ld\trel szurke = %5.1lf\tA1=%5.1lf\tT1=%5.1lf\tV1=%5.1lf\tA2=%5.1lf\tV2=%5.1lf\tT2=%5.1lf",
i, pair_rel_gray[i], pairs[i].A1, pairs[i].T1, pairs[i].V1, pairs[i].A2, pairs[i].V2, pairs[i].T1);
}
//--------------------------------------------------------------------------------------------------
for (i = 1; i <= 7; ++i)
for (j = 1; j <= 7; ++j)
{
_read_data(inp);
_read_data(inp);
HUE_PAIRS[i][j] = s = _read_data(inp);
if (s < 0)
sig[i][j] = -1;
else
sig[i][j] = 1;
if (i == j)
HUE_PAIRS[i][j] = 0.;
}
for (i = 1; i <= 7; i++)
for (j = 1; j < i; j++)
{
s = fabs(HUE_PAIRS[i][j]) + fabs(HUE_PAIRS[j][i]);
s /= 2.;
HUE_PAIRS[i][j] = s * sig[i][j];
HUE_PAIRS[i][j] = -HUE_PAIRS[j][i];
//fuggveny hue parokra a T_rel relativ telitettsegek 0...5 es azon t u l i ertekeire
//x = T_rel < 1: 0.5 * x, else sqrt(x) - 0.5; ertek es derivaltfolytonos ************************
}
for (i = 1; i <= 7; ++i)
{
fprintf(tab, "\n");
//for(j=1; j <=7; j++)
// fprintf(tab,"\n\t\tA1=%2ld\t\tA2=%2ld\t\trel szurke = %5.2lf",
// 10*i,10*j,HUE_PAIRS[i][j]);
fprintf(tab, "\n\t\tA = %2ld\t%5.2lf\t%5.2lf\t%5.2lf\t%5.2lf\t%5.2lf\t%5.2lf\t%5.2lf",
10 * i, HUE_PAIRS[i][1], HUE_PAIRS[i][2], HUE_PAIRS[i][3], HUE_PAIRS[i][4], HUE_PAIRS[i][5],
HUE_PAIRS[i][6], HUE_PAIRS[i][7]);
}
//--------------------------------------------------------------------------------------------------
fprintf(tab, "\n");
for (i = 1; i <= 48; ++i)
{
//int A[49],Aa[77];
MAX_TEL[i].T = _read_data(inp);
MAX_TEL[i].V = s = _read_data(inp);
MAX_TEL[i].Y = 0.01 * s * s;
fprintf(tab, "\n\t\ MAX A =%3ld\tT =%5.1lf\tV =%5.1lf\tY =%5.1lf",
A[i], MAX_TEL[i].T, MAX_TEL[i].V, MAX_TEL[i].Y);
}
fprintf(tab, "\n");
//TELITETTSEG_GRAY[8][6][6];
for (i = 1; i <= 7; ++i)
for (j = 1; j <= 5; ++j)
for (k = 1; k <= 5; ++k)
TELITETTSEG_GRAY[i][j][k] = 0;
for (i = 1; i <= 7; ++i)
{
fprintf(tab, "\n");
i1 = 10 * i;
for (j = 4; j >= 2; j--)
{
fprintf(tab, "\n");
for (k = 1; k <= 5; ++k)
{
_read_data(inp);
_read_data(inp);
s = _read_data(inp);
//if(k==1) TELITETTSEG_LEPCSO[i][j] = s;
//helyette a max solid color telitettseg 5-ode az egyseg
TELITETTSEG_GRAY[i][k][j] = _read_data(inp);
fprintf(tab, "\n\t\tA =%3ld\tV = %5.2lf\t rel szurke = %5.2lf",
10 * i, 5. + j * 20., TELITETTSEG_GRAY[i][k][j] /*ATV sorrend*/);
} //k
} //j
} //i
VIL_GRAY[5] = 100.; //Y = 100
VIL_GRAY[4] = 85.; //Y = 72.25
VIL_GRAY[3] = 65.; //Y = 42.25
VIL_GRAY[2] = 45.; //Y = 20.25
VIL_GRAY[1] = 0.; //Y = 0
fclose(inp);
fclose(tab);
return false;
}
//=========================================================================
void Coloroid::fi_Coloroid_limes_color(double fi, double *X, double *Y, double *Z,
double *x, double *y)
{
double lambda, xx, yy, q, p, f;
long i1, i2;
// fi given in (-360, 360) interval
f = fi;
if (f <= -180)
f += 360;
if (f > 180)
f -= 360;
//normalization to (-180,180] interval
if (f <= fi_D65[625] && f >= fi_D65[450])
{
//purple color
xx = cos(GRAD_RAD * f);
yy = sin(GRAD_RAD * f);
_p_D65(625, 450, xx, yy, &q);
i1 = 625;
i2 = 450;
}
else
{
//[450,625] nm
fi_lambda(f, &lambda);
i1 = (long)lambda;
i2 = i1 + 1;
q = lambda - i1;
}
LIN_MIX(q, CIE1931_x[i1], CIE1931_y[i1], 100. * CIE1931_Y[i1],
CIE1931_x[i2], CIE1931_y[i2], 100. * CIE1931_Y[i2],
x, y, X, Y, Z, &p);
}
//===========================================
void Coloroid::Coloroid_decomposition(double X, double Y, double X_limes, double Y_limes, double *white, double *black, double *color)
{
// assumtion: limes color of XY is X_limes,Y_limes
// return = 1 => feasible Colorid color
// return = 0 => infeasible Coloroid color (but perhaps existing color)
// T = 100 * c (Coloroid saturation)
// white + black + color =1 ADDITIV mixing
// valid for D65 white point
double D, D1, D2, X_white, Y_white;
X_white = (100. / D65_y) * D65_x; //95.0449218; //X_D65
Y_white = 100.; //Y_D65
//Ideal black: X = Y = Z = 0
D = X_white * Y_limes - X_limes * Y_white;
D1 = X * Y_limes - X_limes * Y;
*white = D1 / D;
if (fabs(*white) < EPS_8)
*white = 0;
D2 = X_white * Y - X * Y_white;
*color = D2 / D;
if (fabs(*color) < EPS_8)
*color = 0;
*black = 1 - (*white + *color);
if (fabs(*black) < EPS_8)
*black = 0;
}
//===========================================
bool Coloroid::XYZ_xyz(double X, double Y, double Z,
double *x, double *y, double *z)
{
double t;
if (X < EPS_5 || Y < EPS_5 || Z < EPS_5)
return false;
t = X + Y + Z;
*x = X / t;
*y = Y / t;
*z = Z / t;
return true;
}
//===========================================
bool Coloroid::XYZ_ATV(double X, double Y, double Z,
double *A, double *T, double *V,
double *white, double *black,
double *color, double *lambda, double *fi)
{
double x, y, z, X_limes, Y_limes, Z_limes, x_limes, y_limes;
if (XYZ_xyz(X, Y, Z, &x, &y, &z) == 0)
return false;
*fi = RAD_GRAD * atan2(y - D65_y, x - D65_x);
fi_lambda(*fi, lambda);
fi_Coloroid_limes_color(*fi, &X_limes, &Y_limes, &Z_limes,
&x_limes, &y_limes);
Coloroid_decomposition(X, Y, X_limes, Y_limes, white, black, color);
fi_Coloroid_A(*fi, A);
*T = 100. * *color;
*V = 10. * sqrt(Y);
return true;
}
//===========================================
void Coloroid::rgb709Xyz(double R, double G, double B,
double *X, double *Y, double *Z)
{
// white Y = 100
// white R,G,B = 1, D65
// [ X ] [ 0.412453 0.35758 0.180423 ] [ R709 ]
// [ Y ]=[ 0.212671 0.71516 0.072169 ]*[ G709 ]
// [ Z ] [ 0.019334 0.119193 0.950227 ] [ B709 ]
*X = 41.2453 * R + 35.758 * G + 18.0423 * B;
*Y = 21.2671 * R + 71.516 * G + 7.2169 * B;
*Z = 1.9334 * R + 11.9193 * G + 95.0227 * B;
}
//===========================================
void Coloroid::GRAY_EQUI(double X, double Y, double Z,
double *_A, double *_T, double *_V,
double *rel_T, /*only for hue formula */ int *T_lower,
int *T_upper, double *mu_T_lower,
int *fi_lower, int *fi_upper, double *mu_fi_lower,
int *V_lower, int *V_upper, double *mu_V_lower)
{
// for given XYZ after comuting the Coloroid ATV we give the values of A10_prev, A10_next, mu_prev, mu_next, rel_T
bool feasible;
int A1, AA1, AA2, i, j, j1, k, k1;
double dA, T1, T2, TT, V1, V2, VV, Vil, YY, fi, fi1, fi2, mu, f, T_max;
double wh, bl, col, lambda;
feasible = XYZ_ATV(X, Y, Z, _A, _T, _V, &wh, &bl, &col, &lambda, &fi);
//ismert A, T, fi, interpolalunk ket szomszedos alap-szinezeti lap kozott
//j, j1 a szomszedos hue lapok szamai 1...7
//k, k1 a szomszedos vilagossagertkek szamai, k = 0 a fekete, k vagy k1 = 1,2,3 a harom nevezetes V=45,65,85 ertek es k1 = 4 a feher
if (!feasible)
{
*_A = 10;
fi = _7_basic_fi[1];
*_T = 0;
*_V = 10.0 * sqrt(Y);
//for security a gray pixel intsead of an invalid color
}
A1 = (int)*_A;
dA = *_A - A1; //az A2 sulya
AA1 = Aa[A1];
AA2 = AA1 + 1;
if (AA2 == 49)
AA2 = 1; //1...48 indexek
T1 = MAX_TEL[AA1].T;
T2 = MAX_TEL[AA2].T;
TT = dA * T2 + (1.0 - dA) * T1;
V1 = MAX_TEL[AA1].V;
V2 = MAX_TEL[AA2].V;
VV = dA * V2 + (1.0 - dA) * V1;
//printf("\n\t A1= %ld AA1 = %ld AA2 = %ld T1=%g T2=%g TT=%g --------",A1, AA1, AA2, T1, T2, TT);
Vil = *_V;
if (Vil < 45)
{
k = 1;
k1 = 2;
goto cim1;
}
if (Vil < 65)
{
k = 2;
k1 = 3;
goto cim1;
}
if (Vil < 85)
{
k = 3;
k1 = 4;
goto cim1;
}
k = 4;
k1 = 5; // a feherrel zarodo eset
cim1:
*V_lower = k;
*V_upper = k1;
*mu_V_lower = (VIL_GRAY[k1] - Vil) / (VIL_GRAY[k1] - VIL_GRAY[k]);
/* VIL_GRAY[5] = 100.; //Y = 100
VIL_GRAY[4] = 85.; //Y = 72.25
VIL_GRAY[3] = 65.; //Y = 42.25
VIL_GRAY[2] = 45.; //Y = 20.25
VIL_GRAY[1] = 0.; //Y = 0
*/
YY = 0.01 * VV * VV;