1 |
greg |
3.1 |
#ifndef lint |
2 |
greg |
3.4 |
static const char RCSid[] = "$Id: ccolor.c,v 3.3 2012/05/17 17:10:23 greg Exp $"; |
3 |
greg |
3.1 |
#endif |
4 |
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/* |
5 |
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* Spectral color handling routines |
6 |
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*/ |
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#include <stdio.h> |
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#include <math.h> |
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#include "ccolor.h" |
11 |
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12 |
greg |
3.4 |
/* Sharp primary matrix */ |
13 |
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float XYZtoSharp[3][3] = { |
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{ 1.2694, -0.0988, -0.1706}, |
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{-0.8364, 1.8006, 0.0357}, |
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{ 0.0297, -0.0315, 1.0018} |
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}; |
18 |
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/* inverse Sharp primary matrix */ |
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float XYZfromSharp[3][3] = { |
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{ 0.8156, 0.0472, 0.1372}, |
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{ 0.3791, 0.5769, 0.0440}, |
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{-0.0123, 0.0167, 0.9955} |
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}; |
24 |
greg |
3.1 |
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C_COLOR c_dfcolor = C_DEFCOLOR; |
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27 |
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/* CIE 1931 Standard Observer curves */ |
28 |
greg |
3.2 |
static const C_COLOR cie_xf = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY|C_CSEFF, |
29 |
greg |
3.1 |
{14,42,143,435,1344,2839,3483,3362,2908,1954,956, |
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320,49,93,633,1655,2904,4334,5945,7621,9163,10263, |
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10622,10026,8544,6424,4479,2835,1649,874,468,227, |
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114,58,29,14,7,3,2,1,0}, 106836L, .467, .368, 362.230 |
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}; |
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greg |
3.2 |
static const C_COLOR cie_yf = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY|C_CSEFF, |
35 |
greg |
3.1 |
{0,1,4,12,40,116,230,380,600,910,1390,2080,3230, |
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5030,7100,8620,9540,9950,9950,9520,8700,7570,6310, |
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5030,3810,2650,1750,1070,610,320,170,82,41,21,10, |
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5,2,1,1,0,0}, 106856L, .398, .542, 493.525 |
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}; |
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greg |
3.2 |
static const C_COLOR cie_zf = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY|C_CSEFF, |
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greg |
3.1 |
{65,201,679,2074,6456,13856,17471,17721,16692, |
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12876,8130,4652,2720,1582,782,422,203,87,39,21,17, |
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11,8,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
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106770L, .147, .077, 54.363 |
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}; |
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/* Derived CIE 1931 Primaries (imaginary) */ |
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greg |
3.2 |
static const C_COLOR cie_xp = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY, |
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greg |
3.1 |
{-174,-198,-195,-197,-202,-213,-235,-272,-333, |
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-444,-688,-1232,-2393,-4497,-6876,-6758,-5256, |
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-3100,-815,1320,3200,4782,5998,6861,7408,7754, |
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7980,8120,8199,8240,8271,8292,8309,8283,8469, |
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8336,8336,8336,8336,8336,8336}, |
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127424L, 1., .0, |
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}; |
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greg |
3.2 |
static const C_COLOR cie_yp = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY, |
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greg |
3.1 |
{-451,-431,-431,-430,-427,-417,-399,-366,-312, |
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-204,57,691,2142,4990,8810,9871,9122,7321,5145, |
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3023,1123,-473,-1704,-2572,-3127,-3474,-3704, |
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-3846,-3927,-3968,-3999,-4021,-4038,-4012,-4201, |
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-4066,-4066,-4066,-4066,-4066,-4066}, |
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-23035L, .0, 1., |
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}; |
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greg |
3.2 |
static const C_COLOR cie_zp = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY, |
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greg |
3.1 |
{4051,4054,4052,4053,4054,4056,4059,4064,4071, |
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4074,4056,3967,3677,2933,1492,313,-440,-795, |
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-904,-918,-898,-884,-869,-863,-855,-855,-851, |
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-848,-847,-846,-846,-846,-845,-846,-843,-845, |
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-845,-845,-845,-845,-845}, |
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36057L, .0, .0, |
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}; |
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greg |
3.2 |
|
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greg |
3.4 |
/* convert to sharpened RGB color for low-error operations */ |
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void |
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greg |
3.2 |
c_toSharpRGB(C_COLOR *cin, double cieY, float cout[3]) |
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{ |
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double xyz[3]; |
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c_ccvt(cin, C_CSXY); |
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xyz[0] = cin->cx/cin->cy * cieY; |
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xyz[1] = cieY; |
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xyz[2] = (1. - cin->cx - cin->cy)/cin->cy * cieY; |
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greg |
3.4 |
cout[0] = XYZtoSharp[0][0]*xyz[0] + XYZtoSharp[0][1]*xyz[1] + |
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XYZtoSharp[0][2]*xyz[2]; |
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cout[1] = XYZtoSharp[1][0]*xyz[0] + XYZtoSharp[1][1]*xyz[1] + |
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XYZtoSharp[1][2]*xyz[2]; |
89 |
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cout[2] = XYZtoSharp[2][0]*xyz[0] + XYZtoSharp[2][1]*xyz[1] + |
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XYZtoSharp[2][2]*xyz[2]; |
91 |
greg |
3.2 |
} |
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greg |
3.4 |
/* convert back from sharpened RGB color */ |
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double |
95 |
greg |
3.2 |
c_fromSharpRGB(float cin[3], C_COLOR *cout) |
96 |
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{ |
97 |
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double xyz[3], sf; |
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greg |
3.4 |
xyz[0] = XYZfromSharp[0][0]*cin[0] + XYZfromSharp[0][1]*cin[1] + |
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XYZfromSharp[0][2]*cin[2]; |
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xyz[1] = XYZfromSharp[1][0]*cin[0] + XYZfromSharp[1][1]*cin[1] + |
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XYZfromSharp[1][2]*cin[2]; |
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xyz[2] = XYZfromSharp[2][0]*cin[0] + XYZfromSharp[2][1]*cin[1] + |
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XYZfromSharp[2][2]*cin[2]; |
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greg |
3.2 |
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sf = 1./(xyz[0] + xyz[1] + xyz[2]); |
107 |
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108 |
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cout->cx = xyz[0] * sf; |
109 |
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cout->cy = xyz[1] * sf; |
110 |
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cout->flags = C_CDXY|C_CSXY; |
111 |
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112 |
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return(xyz[1]); |
113 |
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} |
114 |
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115 |
greg |
3.3 |
/* assign arbitrary spectrum */ |
116 |
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double |
117 |
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c_sset(C_COLOR *clr, double wlmin, double wlmax, const float spec[], int nwl) |
118 |
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{ |
119 |
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double yval, scale; |
120 |
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float va[C_CNSS]; |
121 |
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int i, pos, n, imax, wl; |
122 |
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double wl0, wlstep; |
123 |
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double boxpos, boxstep; |
124 |
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/* check arguments */ |
125 |
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if ((nwl <= 1) | (spec == NULL) | (wlmin >= C_CMAXWL) | |
126 |
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(wlmax <= C_CMINWL) | (wlmin >= wlmax)) |
127 |
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return(0.); |
128 |
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wlstep = (wlmax - wlmin)/(nwl-1); |
129 |
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while (wlmin < C_CMINWL) { |
130 |
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wlmin += wlstep; |
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--nwl; ++spec; |
132 |
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} |
133 |
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while (wlmax > C_CMAXWL) { |
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wlmax -= wlstep; |
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--nwl; |
136 |
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} |
137 |
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imax = nwl; /* box filter if necessary */ |
138 |
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boxpos = 0; |
139 |
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boxstep = 1; |
140 |
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if (wlstep < C_CWLI) { |
141 |
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imax = (wlmax - wlmin)/C_CWLI + 1e-7; |
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boxpos = (wlmin - C_CMINWL)/C_CWLI; |
143 |
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boxstep = wlstep/C_CWLI; |
144 |
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wlstep = C_CWLI; |
145 |
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} |
146 |
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scale = 0.; /* get values and maximum */ |
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yval = 0.; |
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pos = 0; |
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for (i = 0; i < imax; i++) { |
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va[i] = 0.; n = 0; |
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while (boxpos < i+.5 && pos < nwl) { |
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va[i] += spec[pos++]; |
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n++; |
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boxpos += boxstep; |
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} |
156 |
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if (n > 1) |
157 |
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va[i] /= (double)n; |
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if (va[i] > scale) |
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scale = va[i]; |
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else if (va[i] < -scale) |
161 |
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scale = -va[i]; |
162 |
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yval += va[i] * cie_yf.ssamp[i]; |
163 |
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} |
164 |
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if (scale <= 1e-7) |
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return(0.); |
166 |
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yval /= (double)cie_yf.ssum; |
167 |
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scale = C_CMAXV / scale; |
168 |
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clr->ssum = 0; /* convert to our spacing */ |
169 |
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wl0 = wlmin; |
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pos = 0; |
171 |
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for (i = 0, wl = C_CMINWL; i < C_CNSS; i++, wl += C_CWLI) |
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if ((wl < wlmin) | (wl > wlmax)) |
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clr->ssamp[i] = 0; |
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else { |
175 |
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while (wl0 + wlstep < wl+1e-7) { |
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wl0 += wlstep; |
177 |
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pos++; |
178 |
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} |
179 |
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if ((wl+1e-7 >= wl0) & (wl-1e-7 <= wl0)) |
180 |
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clr->ssamp[i] = scale*va[pos] + .5; |
181 |
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else /* interpolate if necessary */ |
182 |
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clr->ssamp[i] = .5 + scale / wlstep * |
183 |
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( va[pos]*(wl0+wlstep - wl) + |
184 |
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va[pos+1]*(wl - wl0) ); |
185 |
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clr->ssum += clr->ssamp[i]; |
186 |
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} |
187 |
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clr->flags = C_CDSPEC|C_CSSPEC; |
188 |
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return(yval); |
189 |
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} |
190 |
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191 |
greg |
3.1 |
/* check if color is grey */ |
192 |
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int |
193 |
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c_isgrey(C_COLOR *clr) |
194 |
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{ |
195 |
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if (!(clr->flags & (C_CSXY|C_CSSPEC))) |
196 |
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return(1); /* no settings == grey */ |
197 |
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198 |
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c_ccvt(clr, C_CSXY); |
199 |
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200 |
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return(clr->cx >= .323 && clr->cx <= .343 && |
201 |
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clr->cy >= .323 && clr->cy <= .343); |
202 |
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} |
203 |
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204 |
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/* convert color representations */ |
205 |
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void |
206 |
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c_ccvt(C_COLOR *clr, int fl) |
207 |
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{ |
208 |
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double x, y, z; |
209 |
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int i; |
210 |
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211 |
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fl &= ~clr->flags; /* ignore what's done */ |
212 |
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if (!fl) /* everything's done! */ |
213 |
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return; |
214 |
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if (!(clr->flags & (C_CSXY|C_CSSPEC))) { |
215 |
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*clr = c_dfcolor; /* nothing was set! */ |
216 |
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return; |
217 |
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} |
218 |
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if (fl & C_CSXY) { /* cspec -> cxy */ |
219 |
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x = y = z = 0.; |
220 |
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for (i = 0; i < C_CNSS; i++) { |
221 |
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x += cie_xf.ssamp[i] * clr->ssamp[i]; |
222 |
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y += cie_yf.ssamp[i] * clr->ssamp[i]; |
223 |
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z += cie_zf.ssamp[i] * clr->ssamp[i]; |
224 |
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} |
225 |
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x /= (double)cie_xf.ssum; |
226 |
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y /= (double)cie_yf.ssum; |
227 |
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z /= (double)cie_zf.ssum; |
228 |
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z += x + y; |
229 |
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clr->cx = x / z; |
230 |
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clr->cy = y / z; |
231 |
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clr->flags |= C_CSXY; |
232 |
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} else if (fl & C_CSSPEC) { /* cxy -> cspec */ |
233 |
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x = clr->cx; |
234 |
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y = clr->cy; |
235 |
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z = 1. - x - y; |
236 |
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clr->ssum = 0; |
237 |
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for (i = 0; i < C_CNSS; i++) { |
238 |
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clr->ssamp[i] = x*cie_xp.ssamp[i] + y*cie_yp.ssamp[i] |
239 |
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+ z*cie_zp.ssamp[i] + .5; |
240 |
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if (clr->ssamp[i] < 0) /* out of gamut! */ |
241 |
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clr->ssamp[i] = 0; |
242 |
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else |
243 |
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clr->ssum += clr->ssamp[i]; |
244 |
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} |
245 |
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clr->flags |= C_CSSPEC; |
246 |
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} |
247 |
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if (fl & C_CSEFF) { /* compute efficacy */ |
248 |
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if (clr->flags & C_CSSPEC) { /* from spectrum */ |
249 |
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y = 0.; |
250 |
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for (i = 0; i < C_CNSS; i++) |
251 |
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y += cie_yf.ssamp[i] * clr->ssamp[i]; |
252 |
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clr->eff = C_CLPWM * y / clr->ssum; |
253 |
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} else /* clr->flags & C_CSXY */ { /* from (x,y) */ |
254 |
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clr->eff = clr->cx*cie_xf.eff + clr->cy*cie_yf.eff + |
255 |
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(1. - clr->cx - clr->cy)*cie_zf.eff; |
256 |
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} |
257 |
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clr->flags |= C_CSEFF; |
258 |
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} |
259 |
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} |
260 |
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261 |
greg |
3.2 |
/* mix two colors according to weights given -- cres may be c1 or c2 */ |
262 |
greg |
3.1 |
void |
263 |
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c_cmix(C_COLOR *cres, double w1, C_COLOR *c1, double w2, C_COLOR *c2) |
264 |
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{ |
265 |
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double scale; |
266 |
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int i; |
267 |
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268 |
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if ((c1->flags|c2->flags) & C_CDSPEC) { /* spectral mixing */ |
269 |
greg |
3.2 |
float cmix[C_CNSS]; |
270 |
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271 |
greg |
3.1 |
c_ccvt(c1, C_CSSPEC|C_CSEFF); |
272 |
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c_ccvt(c2, C_CSSPEC|C_CSEFF); |
273 |
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w1 /= c1->eff*c1->ssum; |
274 |
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w2 /= c2->eff*c2->ssum; |
275 |
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scale = 0.; |
276 |
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for (i = 0; i < C_CNSS; i++) { |
277 |
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cmix[i] = w1*c1->ssamp[i] + w2*c2->ssamp[i]; |
278 |
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if (cmix[i] > scale) |
279 |
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scale = cmix[i]; |
280 |
greg |
3.3 |
else if (cmix[i] < -scale) |
281 |
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scale = -cmix[i]; |
282 |
greg |
3.1 |
} |
283 |
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scale = C_CMAXV / scale; |
284 |
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cres->ssum = 0; |
285 |
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for (i = 0; i < C_CNSS; i++) |
286 |
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cres->ssum += cres->ssamp[i] = scale*cmix[i] + .5; |
287 |
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cres->flags = C_CDSPEC|C_CSSPEC; |
288 |
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} else { /* CIE xy mixing */ |
289 |
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c_ccvt(c1, C_CSXY); |
290 |
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c_ccvt(c2, C_CSXY); |
291 |
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w1 *= c2->cy; |
292 |
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w2 *= c1->cy; |
293 |
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scale = w1 + w2; |
294 |
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if (scale == 0.) { |
295 |
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*cres = c_dfcolor; |
296 |
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return; |
297 |
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} |
298 |
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scale = 1. / scale; |
299 |
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cres->cx = (w1*c1->cx + w2*c2->cx) * scale; |
300 |
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cres->cy = (w1*c1->cy + w2*c2->cy) * scale; |
301 |
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cres->flags = C_CDXY|C_CSXY; |
302 |
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} |
303 |
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} |
304 |
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|
305 |
greg |
3.2 |
/* multiply two colors -- cres may be c1 or c2 */ |
306 |
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double |
307 |
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c_cmult(C_COLOR *cres, C_COLOR *c1, double y1, C_COLOR *c2, double y2) |
308 |
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{ |
309 |
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double yres; |
310 |
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int i; |
311 |
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312 |
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if ((c1->flags|c2->flags) & C_CDSPEC) { |
313 |
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long cmix[C_CNSS], cmax = 0; /* spectral multiply */ |
314 |
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315 |
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c_ccvt(c1, C_CSSPEC|C_CSEFF); |
316 |
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c_ccvt(c2, C_CSSPEC|C_CSEFF); |
317 |
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for (i = 0; i < C_CNSS; i++) { |
318 |
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cmix[i] = c1->ssamp[i] * c2->ssamp[i]; |
319 |
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if (cmix[i] > cmax) |
320 |
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cmax = cmix[i]; |
321 |
greg |
3.3 |
else if (cmix[i] < -cmax) |
322 |
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cmax = -cmix[i]; |
323 |
greg |
3.2 |
} |
324 |
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cmax /= C_CMAXV; |
325 |
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if (!cmax) { |
326 |
|
|
*cres = c_dfcolor; |
327 |
|
|
return(0.); |
328 |
|
|
} |
329 |
|
|
cres->ssum = 0; |
330 |
|
|
for (i = 0; i < C_CNSS; i++) |
331 |
|
|
cres->ssum += cres->ssamp[i] = cmix[i] / cmax; |
332 |
|
|
cres->flags = C_CDSPEC|C_CSSPEC; |
333 |
|
|
|
334 |
|
|
c_ccvt(cres, C_CSEFF); /* nasty, but true */ |
335 |
greg |
3.3 |
yres = y1 * y2 * cie_yf.ssum * C_CLPWM / |
336 |
greg |
3.2 |
(c1->eff*c1->ssum * c2->eff*c2->ssum) * |
337 |
|
|
cres->eff*( cres->ssum*(double)cmax + |
338 |
|
|
C_CNSS/2.0*(cmax-1) ); |
339 |
|
|
} else { |
340 |
|
|
float rgb1[3], rgb2[3]; /* CIE xy multiply */ |
341 |
|
|
|
342 |
|
|
c_toSharpRGB(c1, y1, rgb1); |
343 |
|
|
c_toSharpRGB(c2, y2, rgb2); |
344 |
|
|
|
345 |
|
|
rgb2[0] *= rgb1[0]; rgb2[1] *= rgb1[1]; rgb2[2] *= rgb1[2]; |
346 |
|
|
|
347 |
|
|
yres = c_fromSharpRGB(rgb2, cres); |
348 |
|
|
} |
349 |
|
|
return(yres); |
350 |
|
|
} |
351 |
|
|
|
352 |
greg |
3.1 |
#define C1 3.741832e-16 /* W-m^2 */ |
353 |
|
|
#define C2 1.4388e-2 /* m-K */ |
354 |
|
|
|
355 |
|
|
#define bbsp(l,t) (C1/((l)*(l)*(l)*(l)*(l)*(exp(C2/((t)*(l)))-1.))) |
356 |
greg |
3.2 |
#define bblm(t) (C2*0.2/(t)) |
357 |
greg |
3.1 |
|
358 |
|
|
/* set black body spectrum */ |
359 |
|
|
int |
360 |
|
|
c_bbtemp(C_COLOR *clr, double tk) |
361 |
|
|
{ |
362 |
|
|
double sf, wl; |
363 |
|
|
int i; |
364 |
|
|
|
365 |
|
|
if (tk < 1000) |
366 |
|
|
return(0); |
367 |
|
|
wl = bblm(tk); /* scalefactor based on peak */ |
368 |
|
|
if (wl < C_CMINWL*1e-9) |
369 |
|
|
wl = C_CMINWL*1e-9; |
370 |
|
|
else if (wl > C_CMAXWL*1e-9) |
371 |
|
|
wl = C_CMAXWL*1e-9; |
372 |
|
|
sf = C_CMAXV/bbsp(wl,tk); |
373 |
|
|
clr->ssum = 0; |
374 |
|
|
for (i = 0; i < C_CNSS; i++) { |
375 |
|
|
wl = (C_CMINWL + i*C_CWLI)*1e-9; |
376 |
|
|
clr->ssum += clr->ssamp[i] = sf*bbsp(wl,tk) + .5; |
377 |
|
|
} |
378 |
|
|
clr->flags = C_CDSPEC|C_CSSPEC; |
379 |
|
|
return(1); |
380 |
|
|
} |
381 |
|
|
|
382 |
|
|
#undef C1 |
383 |
|
|
#undef C2 |
384 |
|
|
#undef bbsp |
385 |
|
|
#undef bblm |