| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id: ccolor.c,v 3.12 2024/01/04 01:55:42 greg Exp $"; |
| 3 |
#endif |
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/* |
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* Spectral color handling routines |
| 6 |
*/ |
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|
| 8 |
#include <stdio.h> |
| 9 |
#include <stdlib.h> |
| 10 |
#include <math.h> |
| 11 |
#include "ccolor.h" |
| 12 |
|
| 13 |
#undef frand |
| 14 |
#define frand() (rand()*(1./(RAND_MAX+.5))) |
| 15 |
|
| 16 |
/* Sharp primary matrix */ |
| 17 |
float XYZtoSharp[3][3] = { |
| 18 |
{ 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} |
| 21 |
}; |
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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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}; |
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|
| 29 |
const C_COLOR c_dfcolor = C_DEFCOLOR; |
| 30 |
|
| 31 |
const C_CHROMA c_dfchroma = 49750; /* c_encodeChroma(&c_dfcolor) */ |
| 32 |
|
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/* CIE 1931 Standard Observer curves */ |
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const C_COLOR c_x31 = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY|C_CSEFF, |
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{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 |
| 39 |
}; |
| 40 |
const C_COLOR c_y31 = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY|C_CSEFF, |
| 41 |
{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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const C_COLOR c_z31 = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY|C_CSEFF, |
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{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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static const C_COLOR cie_xp = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY, |
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{-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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static const C_COLOR cie_yp = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY, |
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{-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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static const C_COLOR cie_zp = { 1, NULL, C_CDSPEC|C_CSSPEC|C_CSXY, |
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{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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|
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|
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/* convert to sharpened RGB color for low-error operations */ |
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void |
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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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|
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c_ccvt(cin, C_CSXY); |
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|
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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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|
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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]; |
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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]; |
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} |
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|
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/* convert back from sharpened RGB color */ |
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double |
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c_fromSharpRGB(float cin[3], C_COLOR *cout) |
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{ |
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double xyz[3], sf; |
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|
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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]; |
| 107 |
if (xyz[1] <= 1e-6) { |
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*cout = c_dfcolor; /* punting, here... */ |
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return xyz[1]; |
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} |
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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[2] = XYZfromSharp[2][0]*cin[0] + XYZfromSharp[2][1]*cin[1] + |
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XYZfromSharp[2][2]*cin[2]; |
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|
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sf = 1./(xyz[0] + xyz[1] + xyz[2]); |
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|
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cout->cx = xyz[0] * sf; |
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cout->cy = xyz[1] * sf; |
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cout->flags = C_CDXY|C_CSXY; |
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|
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return(xyz[1]); |
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} |
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|
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/* assign arbitrary spectrum and return Y value */ |
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double |
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c_sset(C_COLOR *clr, double wlmin, double wlmax, const float spec[], int nwl) |
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{ |
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double yval, scale; |
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float va[C_CNSS]; |
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int i, pos, n, imax, wl; |
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double wl0, wlstep; |
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double boxpos, boxstep; |
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/* check arguments */ |
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if ((nwl <= 1) | (spec == NULL) | (wlmin >= C_CMAXWL) | |
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(wlmax <= C_CMINWL) | (wlmin >= wlmax)) |
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return(0.); |
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wlstep = (wlmax - wlmin)/(nwl-1.); |
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while (wlmin < C_CMINWL) { |
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wlmin += wlstep; |
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--nwl; ++spec; |
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} |
| 143 |
while (wlmax > C_CMAXWL) { |
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wlmax -= wlstep; |
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--nwl; |
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} |
| 147 |
if ((nwl <= 1) | (wlmin >= wlmax)) |
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return(0.); |
| 149 |
imax = nwl; /* box filter if necessary */ |
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boxpos = 0; |
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boxstep = 1; |
| 152 |
if (wlstep < C_CWLI) { |
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imax = (wlmax - wlmin)/C_CWLI + 1e-7; |
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boxpos = (wlmin - C_CMINWL)/C_CWLI; |
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boxstep = wlstep/C_CWLI; |
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wlstep = C_CWLI; |
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} |
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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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} |
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if (n > 1) |
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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) |
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scale = -va[i]; |
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yval += va[i] * c_y31.ssamp[i]; |
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} |
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if (scale <= 1e-7) |
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return(0.); |
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yval /= (double)c_y31.ssum; |
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scale = C_CMAXV / scale; |
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clr->ssum = 0; /* convert to our spacing */ |
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wl0 = wlmin; |
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pos = 0; |
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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 { |
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while (wl0 + wlstep < wl+.01) { |
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wl0 += wlstep; |
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pos++; |
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} |
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if ((wl+.01 >= wl0) & (wl-.01 <= wl0)) |
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clr->ssamp[i] = scale*va[pos] + frand(); |
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else /* interpolate if necessary */ |
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clr->ssamp[i] = frand() + scale / wlstep * |
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( va[pos]*(wl0+wlstep - wl) + |
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va[pos+1]*(wl - wl0) ); |
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clr->ssum += clr->ssamp[i]; |
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} |
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clr->flags = C_CDSPEC|C_CSSPEC; |
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return(yval); |
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} |
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|
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|
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/* check if colors are equivalent */ |
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int |
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c_equiv(C_COLOR *c1, C_COLOR *c2) |
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{ |
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long thresh; |
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int i; |
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|
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if (c1 == c2) |
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return(1); |
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if ((c1->flags ^ c2->flags) & (C_CDXY|C_CDSPEC)) |
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return(0); /* defined differently, so no */ |
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c_ccvt(c1, C_CSXY); |
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c_ccvt(c2, C_CSXY); /* first check chromaticities */ |
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if (fabs(c1->cx - c2->cx) + fabs(c1->cy - c2->cy) > .015) |
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return(0); /* mismatch means definitely different */ |
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if (c1->flags & C_CDXY) |
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return(1); /* done if defined as (x,y) */ |
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thresh = C_CMAXV/200*(c1->ssum + c2->ssum); |
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for (i = 0; i < C_CNSS; i++) /* else compare spectra */ |
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if (labs(c1->ssamp[i]*c2->ssum - c2->ssamp[i]*c1->ssum) > thresh) |
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return(0); |
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return(1); |
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} |
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|
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|
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/* check if color is grey */ |
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int |
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c_isgrey(C_COLOR *clr) |
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{ |
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if (!(clr->flags & (C_CSXY|C_CSSPEC))) |
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return(1); /* no settings == grey */ |
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|
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c_ccvt(clr, C_CSXY); |
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|
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return(clr->cx >= .323 && clr->cx <= .343 && |
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clr->cy >= .323 && clr->cy <= .343); |
| 240 |
} |
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|
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/* convert color representations */ |
| 243 |
void |
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c_ccvt(C_COLOR *clr, int fl) |
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{ |
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double x, y, z; |
| 247 |
int i; |
| 248 |
|
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fl &= ~clr->flags; /* ignore what's done */ |
| 250 |
if (!fl) /* everything's done! */ |
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return; |
| 252 |
if (!(clr->flags & (C_CSXY|C_CSSPEC))) { |
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*clr = c_dfcolor; /* nothing was set! */ |
| 254 |
return; |
| 255 |
} |
| 256 |
if (fl & C_CSXY) { /* cspec -> cxy */ |
| 257 |
x = y = z = 0.; |
| 258 |
for (i = 0; i < C_CNSS; i++) { |
| 259 |
x += c_x31.ssamp[i] * clr->ssamp[i]; |
| 260 |
y += c_y31.ssamp[i] * clr->ssamp[i]; |
| 261 |
z += c_z31.ssamp[i] * clr->ssamp[i]; |
| 262 |
} |
| 263 |
x /= (double)c_x31.ssum; |
| 264 |
y /= (double)c_y31.ssum; |
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z /= (double)c_z31.ssum; |
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z += x + y; |
| 267 |
if (z > 1e-6) { |
| 268 |
clr->cx = x / z; |
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clr->cy = y / z; |
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} else |
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clr->cx = clr->cy = 1./3.; |
| 272 |
clr->flags |= C_CSXY; |
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} |
| 274 |
if (fl & C_CSSPEC) { /* cxy -> cspec */ |
| 275 |
x = clr->cx; |
| 276 |
y = clr->cy; |
| 277 |
z = 1. - x - y; |
| 278 |
clr->ssum = 0; |
| 279 |
for (i = 0; i < C_CNSS; i++) { |
| 280 |
clr->ssamp[i] = x*cie_xp.ssamp[i] + y*cie_yp.ssamp[i] |
| 281 |
+ z*cie_zp.ssamp[i] + frand(); |
| 282 |
if (clr->ssamp[i] < 0) /* out of gamut! */ |
| 283 |
clr->ssamp[i] = 0; |
| 284 |
else |
| 285 |
clr->ssum += clr->ssamp[i]; |
| 286 |
} |
| 287 |
clr->flags |= C_CSSPEC; |
| 288 |
} |
| 289 |
if (fl & C_CSEFF) { /* compute efficacy */ |
| 290 |
if (clr->flags & C_CSSPEC) { /* from spectrum */ |
| 291 |
y = 0.; |
| 292 |
for (i = 0; i < C_CNSS; i++) |
| 293 |
y += c_y31.ssamp[i] * clr->ssamp[i]; |
| 294 |
clr->eff = C_CLPWM * y / (clr->ssum + 0.0001); |
| 295 |
} else /* clr->flags & C_CSXY */ { /* from (x,y) */ |
| 296 |
clr->eff = clr->cx*c_x31.eff + clr->cy*c_y31.eff + |
| 297 |
(1. - clr->cx - clr->cy)*c_z31.eff; |
| 298 |
} |
| 299 |
clr->flags |= C_CSEFF; |
| 300 |
} |
| 301 |
} |
| 302 |
|
| 303 |
/* mix two colors according to weights given -- cres may be c1 or c2 */ |
| 304 |
void |
| 305 |
c_cmix(C_COLOR *cres, double w1, C_COLOR *c1, double w2, C_COLOR *c2) |
| 306 |
{ |
| 307 |
double scale; |
| 308 |
int i; |
| 309 |
|
| 310 |
if (w1 == 0) { |
| 311 |
*cres = *c2; |
| 312 |
return; |
| 313 |
} |
| 314 |
if (w2 == 0) { |
| 315 |
*cres = *c1; |
| 316 |
return; |
| 317 |
} |
| 318 |
if ((c1->flags|c2->flags) & C_CDSPEC) { /* spectral mixing */ |
| 319 |
float cmix[C_CNSS]; |
| 320 |
|
| 321 |
c_ccvt(c1, C_CSSPEC|C_CSEFF); |
| 322 |
c_ccvt(c2, C_CSSPEC|C_CSEFF); |
| 323 |
if (c1->ssum*c2->ssum == 0) { |
| 324 |
*cres = c_dfcolor; |
| 325 |
return; |
| 326 |
} |
| 327 |
w1 /= c1->eff*c1->ssum; |
| 328 |
w2 /= c2->eff*c2->ssum; |
| 329 |
scale = 0.; |
| 330 |
for (i = 0; i < C_CNSS; i++) { |
| 331 |
cmix[i] = w1*c1->ssamp[i] + w2*c2->ssamp[i]; |
| 332 |
if (cmix[i] > scale) |
| 333 |
scale = cmix[i]; |
| 334 |
else if (cmix[i] < -scale) |
| 335 |
scale = -cmix[i]; |
| 336 |
} |
| 337 |
scale = C_CMAXV / scale; |
| 338 |
cres->ssum = 0; |
| 339 |
for (i = 0; i < C_CNSS; i++) |
| 340 |
cres->ssum += cres->ssamp[i] = scale*cmix[i] + frand(); |
| 341 |
cres->flags = C_CDSPEC|C_CSSPEC; |
| 342 |
} else { /* CIE xy mixing */ |
| 343 |
c_ccvt(c1, C_CSXY); |
| 344 |
c_ccvt(c2, C_CSXY); |
| 345 |
w1 *= c2->cy; |
| 346 |
w2 *= c1->cy; |
| 347 |
scale = w1 + w2; |
| 348 |
if (scale == 0.) { |
| 349 |
*cres = c_dfcolor; |
| 350 |
return; |
| 351 |
} |
| 352 |
scale = 1. / scale; |
| 353 |
cres->cx = (w1*c1->cx + w2*c2->cx) * scale; |
| 354 |
cres->cy = (w1*c1->cy + w2*c2->cy) * scale; |
| 355 |
cres->flags = C_CDXY|C_CSXY; |
| 356 |
} |
| 357 |
} |
| 358 |
|
| 359 |
/* multiply two colors -- cres may be c1 or c2 */ |
| 360 |
double |
| 361 |
c_cmult(C_COLOR *cres, C_COLOR *c1, double y1, C_COLOR *c2, double y2) |
| 362 |
{ |
| 363 |
double yres; |
| 364 |
int i; |
| 365 |
|
| 366 |
if ((c1->flags|c2->flags) & C_CDSPEC) { |
| 367 |
long cmix[C_CNSS], cmax = 0; /* spectral multiply */ |
| 368 |
|
| 369 |
c_ccvt(c1, C_CSSPEC|C_CSEFF); |
| 370 |
c_ccvt(c2, C_CSSPEC|C_CSEFF); |
| 371 |
for (i = 0; i < C_CNSS; i++) { |
| 372 |
cmix[i] = c1->ssamp[i] * c2->ssamp[i]; |
| 373 |
if (cmix[i] > cmax) |
| 374 |
cmax = cmix[i]; |
| 375 |
else if (cmix[i] < -cmax) |
| 376 |
cmax = -cmix[i]; |
| 377 |
} |
| 378 |
cmax /= C_CMAXV; |
| 379 |
if (!cmax) { |
| 380 |
*cres = c_dfcolor; |
| 381 |
return(0.); |
| 382 |
} |
| 383 |
cres->ssum = 0; |
| 384 |
for (i = 0; i < C_CNSS; i++) |
| 385 |
cres->ssum += cres->ssamp[i] = cmix[i] / cmax; |
| 386 |
cres->flags = C_CDSPEC|C_CSSPEC; |
| 387 |
|
| 388 |
c_ccvt(cres, C_CSEFF); /* below is correct */ |
| 389 |
yres = y1 * y2 * c_y31.ssum * C_CLPWM / |
| 390 |
(c1->eff*c1->ssum * c2->eff*c2->ssum) * |
| 391 |
cres->eff*( cres->ssum*(double)cmax + |
| 392 |
C_CNSS/2.0*(cmax-1) ); |
| 393 |
} else { |
| 394 |
float rgb1[3], rgb2[3]; /* CIE xy multiply */ |
| 395 |
|
| 396 |
c_toSharpRGB(c1, y1, rgb1); |
| 397 |
c_toSharpRGB(c2, y2, rgb2); |
| 398 |
|
| 399 |
rgb2[0] *= rgb1[0]; rgb2[1] *= rgb1[1]; rgb2[2] *= rgb1[2]; |
| 400 |
|
| 401 |
yres = c_fromSharpRGB(rgb2, cres); |
| 402 |
} |
| 403 |
return(yres); |
| 404 |
} |
| 405 |
|
| 406 |
#define C1 3.741832e-16 /* W-m^2 */ |
| 407 |
#define C2 1.4388e-2 /* m-K */ |
| 408 |
|
| 409 |
#define bbsp(l,t) (C1/((l)*(l)*(l)*(l)*(l)*(exp(C2/((t)*(l)))-1.))) |
| 410 |
#define bblm(t) (C2*0.2/(t)) |
| 411 |
|
| 412 |
/* set black body spectrum */ |
| 413 |
int |
| 414 |
c_bbtemp(C_COLOR *clr, double tk) |
| 415 |
{ |
| 416 |
double sf, wl; |
| 417 |
int i; |
| 418 |
|
| 419 |
if (tk < 1000) |
| 420 |
return(0); |
| 421 |
wl = bblm(tk); /* scalefactor based on peak */ |
| 422 |
if (wl < C_CMINWL*1e-9) |
| 423 |
wl = C_CMINWL*1e-9; |
| 424 |
else if (wl > C_CMAXWL*1e-9) |
| 425 |
wl = C_CMAXWL*1e-9; |
| 426 |
sf = C_CMAXV/bbsp(wl,tk); |
| 427 |
clr->ssum = 0; |
| 428 |
for (i = 0; i < C_CNSS; i++) { |
| 429 |
wl = (C_CMINWL + i*C_CWLI)*1e-9; |
| 430 |
clr->ssum += clr->ssamp[i] = sf*bbsp(wl,tk) + frand(); |
| 431 |
} |
| 432 |
clr->flags = C_CDSPEC|C_CSSPEC; |
| 433 |
return(1); |
| 434 |
} |
| 435 |
|
| 436 |
#undef C1 |
| 437 |
#undef C2 |
| 438 |
#undef bbsp |
| 439 |
#undef bblm |
| 440 |
|
| 441 |
#define UV_NORMF 410. |
| 442 |
|
| 443 |
/* encode (x,y) chromaticity */ |
| 444 |
C_CHROMA |
| 445 |
c_encodeChroma(C_COLOR *clr) |
| 446 |
{ |
| 447 |
double df; |
| 448 |
int ub, vb; |
| 449 |
|
| 450 |
c_ccvt(clr, C_CSXY); |
| 451 |
df = UV_NORMF/(-2.*clr->cx + 12.*clr->cy + 3.); |
| 452 |
ub = 4.*clr->cx*df + frand(); |
| 453 |
if (ub > 0xff) ub = 0xff; |
| 454 |
else ub *= (ub > 0); |
| 455 |
vb = 9.*clr->cy*df + frand(); |
| 456 |
if (vb > 0xff) vb = 0xff; |
| 457 |
else vb *= (vb > 0); |
| 458 |
|
| 459 |
return(vb<<8 | ub); |
| 460 |
} |
| 461 |
|
| 462 |
/* decode (x,y) chromaticity */ |
| 463 |
void |
| 464 |
c_decodeChroma(C_COLOR *cres, C_CHROMA ccode) |
| 465 |
{ |
| 466 |
double up = (ccode & 0xff)*(1./UV_NORMF); |
| 467 |
double vp = (ccode>>8 & 0xff)*(1./UV_NORMF); |
| 468 |
double df = 1./(6.*up - 16.*vp + 12.); |
| 469 |
|
| 470 |
cres->cx = 9.*up * df; |
| 471 |
cres->cy = 4.*vp * df; |
| 472 |
cres->flags = C_CDXY|C_CSXY; |
| 473 |
} |
| 474 |
|
| 475 |
#undef UV_NORMF |
