workbench/libs/lcms2/src/cmscam02.c

   1 //---------------------------------------------------------------------------------
   2 //
   3 //  Little Color Management System
   4 //  Copyright (c) 1998-2012 Marti Maria Saguer
   5 //
   6 // Permission is hereby granted, free of charge, to any person obtaining
   7 // a copy of this software and associated documentation files (the "Software"),
   8 // to deal in the Software without restriction, including without limitation
   9 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  10 // and/or sell copies of the Software, and to permit persons to whom the Software
  11 // is furnished to do so, subject to the following conditions:
  12 //
  13 // The above copyright notice and this permission notice shall be included in
  14 // all copies or substantial portions of the Software.
  15 //
  16 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
  17 // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
  18 // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
  19 // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
  20 // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
  21 // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
  22 // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
  23 //
  24 //---------------------------------------------------------------------------------
  25 //
  26
  27 #include "lcms2_internal.h"
  28
  29 // CIECAM 02 appearance model. Many thanks to Jordi Vilar for the debugging.
  30
  31 // ---------- Implementation --------------------------------------------
  32
  33 typedef struct  {
  34
  35     cmsFloat64Number XYZ[3];
  36     cmsFloat64Number RGB[3];
  37     cmsFloat64Number RGBc[3];
  38     cmsFloat64Number RGBp[3];
  39     cmsFloat64Number RGBpa[3];
  40     cmsFloat64Number a, b, h, e, H, A, J, Q, s, t, C, M;
  41     cmsFloat64Number abC[2];
  42     cmsFloat64Number abs[2];
  43     cmsFloat64Number abM[2];
  44
  45 } CAM02COLOR;
  46
  47 typedef struct  {
  48
  49     CAM02COLOR adoptedWhite;
  50     cmsFloat64Number LA, Yb;
  51     cmsFloat64Number F, c, Nc;
  52     cmsUInt32Number surround;
  53     cmsFloat64Number n, Nbb, Ncb, z, FL, D;
  54
  55     cmsContext ContextID;
  56
  57 } cmsCIECAM02;
  58
  59
  60 static
  61 cmsFloat64Number compute_n(cmsCIECAM02* pMod)
  62 {
  63     return (pMod -> Yb / pMod -> adoptedWhite.XYZ[1]);
  64 }
  65
  66 static
  67 cmsFloat64Number compute_z(cmsCIECAM02* pMod)
  68 {
  69     return (1.48 + pow(pMod -> n, 0.5));
  70 }
  71
  72 static
  73 cmsFloat64Number computeNbb(cmsCIECAM02* pMod)
  74 {
  75     return (0.725 * pow((1.0 / pMod -> n), 0.2));
  76 }
  77
  78 static
  79 cmsFloat64Number computeFL(cmsCIECAM02* pMod)
  80 {
  81     cmsFloat64Number k, FL;
  82
  83     k = 1.0 / ((5.0 * pMod->LA) + 1.0);
  84     FL = 0.2 * pow(k, 4.0) * (5.0 * pMod->LA) + 0.1 *
  85         (pow((1.0 - pow(k, 4.0)), 2.0)) *
  86         (pow((5.0 * pMod->LA), (1.0 / 3.0)));
  87
  88     return FL;
  89 }
  90
  91 static
  92 cmsFloat64Number computeD(cmsCIECAM02* pMod)
  93 {
  94     cmsFloat64Number D;
  95
  96     D = pMod->F - (1.0/3.6)*(exp(((-pMod ->LA-42) / 92.0)));
  97
  98     return D;
  99 }
 100
 101
 102 static
 103 CAM02COLOR XYZtoCAT02(CAM02COLOR clr)
 104 {
 105     clr.RGB[0] = (clr.XYZ[0] *  0.7328) + (clr.XYZ[1] *  0.4296) + (clr.XYZ[2] * -0.1624);
 106     clr.RGB[1] = (clr.XYZ[0] * -0.7036) + (clr.XYZ[1] *  1.6975) + (clr.XYZ[2] *  0.0061);
 107     clr.RGB[2] = (clr.XYZ[0] *  0.0030) + (clr.XYZ[1] *  0.0136) + (clr.XYZ[2] *  0.9834);
 108
 109     return clr;
 110 }
 111
 112 static
 113 CAM02COLOR ChromaticAdaptation(CAM02COLOR clr, cmsCIECAM02* pMod)
 114 {
 115     cmsUInt32Number i;
 116
 117     for (i = 0; i < 3; i++) {
 118         clr.RGBc[i] = ((pMod -> adoptedWhite.XYZ[1] *
 119             (pMod->D / pMod -> adoptedWhite.RGB[i])) +
 120             (1.0 - pMod->D)) * clr.RGB[i];
 121     }
 122
 123     return clr;
 124 }
 125
 126
 127 static
 128 CAM02COLOR CAT02toHPE(CAM02COLOR clr)
 129 {
 130     cmsFloat64Number M[9];
 131
 132     M[0] =(( 0.38971 *  1.096124) + (0.68898 * 0.454369) + (-0.07868 * -0.009628));
 133     M[1] =(( 0.38971 * -0.278869) + (0.68898 * 0.473533) + (-0.07868 * -0.005698));
 134     M[2] =(( 0.38971 *  0.182745) + (0.68898 * 0.072098) + (-0.07868 *  1.015326));
 135     M[3] =((-0.22981 *  1.096124) + (1.18340 * 0.454369) + ( 0.04641 * -0.009628));
 136     M[4] =((-0.22981 * -0.278869) + (1.18340 * 0.473533) + ( 0.04641 * -0.005698));
 137     M[5] =((-0.22981 *  0.182745) + (1.18340 * 0.072098) + ( 0.04641 *  1.015326));
 138     M[6] =(-0.009628);
 139     M[7] =(-0.005698);
 140     M[8] =( 1.015326);
 141
 142     clr.RGBp[0] = (clr.RGBc[0] * M[0]) +  (clr.RGBc[1] * M[1]) + (clr.RGBc[2] * M[2]);
 143     clr.RGBp[1] = (clr.RGBc[0] * M[3]) +  (clr.RGBc[1] * M[4]) + (clr.RGBc[2] * M[5]);
 144     clr.RGBp[2] = (clr.RGBc[0] * M[6]) +  (clr.RGBc[1] * M[7]) + (clr.RGBc[2] * M[8]);
 145
 146     return  clr;
 147 }
 148
 149 static
 150 CAM02COLOR NonlinearCompression(CAM02COLOR clr, cmsCIECAM02* pMod)
 151 {
 152     cmsUInt32Number i;
 153     cmsFloat64Number temp;
 154
 155     for (i = 0; i < 3; i++) {
 156         if (clr.RGBp[i] < 0) {
 157
 158             temp = pow((-1.0 * pMod->FL * clr.RGBp[i] / 100.0), 0.42);
 159             clr.RGBpa[i] = (-1.0 * 400.0 * temp) / (temp + 27.13) + 0.1;
 160         }
 161         else {
 162             temp = pow((pMod->FL * clr.RGBp[i] / 100.0), 0.42);
 163             clr.RGBpa[i] = (400.0 * temp) / (temp + 27.13) + 0.1;
 164         }
 165     }
 166
 167     clr.A = (((2.0 * clr.RGBpa[0]) + clr.RGBpa[1] +
 168         (clr.RGBpa[2] / 20.0)) - 0.305) * pMod->Nbb;
 169
 170     return clr;
 171 }
 172
 173 static
 174 CAM02COLOR ComputeCorrelates(CAM02COLOR clr, cmsCIECAM02* pMod)
 175 {
 176     cmsFloat64Number a, b, temp, e, t, r2d, d2r;
 177
 178     a = clr.RGBpa[0] - (12.0 * clr.RGBpa[1] / 11.0) + (clr.RGBpa[2] / 11.0);
 179     b = (clr.RGBpa[0] + clr.RGBpa[1] - (2.0 * clr.RGBpa[2])) / 9.0;
 180
 181     r2d = (180.0 / 3.141592654);
 182     if (a == 0) {
 183         if (b == 0)     clr.h = 0;
 184         else if (b > 0) clr.h = 90;
 185         else            clr.h = 270;
 186     }
 187     else if (a > 0) {
 188         temp = b / a;
 189         if (b > 0)       clr.h = (r2d * atan(temp));
 190         else if (b == 0) clr.h = 0;
 191         else             clr.h = (r2d * atan(temp)) + 360;
 192     }
 193     else {
 194         temp = b / a;
 195         clr.h = (r2d * atan(temp)) + 180;
 196     }
 197
 198     d2r = (3.141592654 / 180.0);
 199     e = ((12500.0 / 13.0) * pMod->Nc * pMod->Ncb) *
 200         (cos((clr.h * d2r + 2.0)) + 3.8);
 201
 202     if (clr.h < 20.14) {
 203         temp = ((clr.h + 122.47)/1.2) + ((20.14 - clr.h)/0.8);
 204         clr.H = 300 + (100*((clr.h + 122.47)/1.2)) / temp;
 205     }
 206     else if (clr.h < 90.0) {
 207         temp = ((clr.h - 20.14)/0.8) + ((90.00 - clr.h)/0.7);
 208         clr.H = (100*((clr.h - 20.14)/0.8)) / temp;
 209     }
 210     else if (clr.h < 164.25) {
 211         temp = ((clr.h - 90.00)/0.7) + ((164.25 - clr.h)/1.0);
 212         clr.H = 100 + ((100*((clr.h - 90.00)/0.7)) / temp);
 213     }
 214     else if (clr.h < 237.53) {
 215         temp = ((clr.h - 164.25)/1.0) + ((237.53 - clr.h)/1.2);
 216         clr.H = 200 + ((100*((clr.h - 164.25)/1.0)) / temp);
 217     }
 218     else {
 219         temp = ((clr.h - 237.53)/1.2) + ((360 - clr.h + 20.14)/0.8);
 220         clr.H = 300 + ((100*((clr.h - 237.53)/1.2)) / temp);
 221     }
 222
 223     clr.J = 100.0 * pow((clr.A / pMod->adoptedWhite.A),
 224         (pMod->c * pMod->z));
 225
 226     clr.Q = (4.0 / pMod->c) * pow((clr.J / 100.0), 0.5) *
 227         (pMod->adoptedWhite.A + 4.0) * pow(pMod->FL, 0.25);
 228
 229     t = (e * pow(((a * a) + (b * b)), 0.5)) /
 230         (clr.RGBpa[0] + clr.RGBpa[1] +
 231         ((21.0 / 20.0) * clr.RGBpa[2]));
 232
 233     clr.C = pow(t, 0.9) * pow((clr.J / 100.0), 0.5) *
 234         pow((1.64 - pow(0.29, pMod->n)), 0.73);
 235
 236     clr.M = clr.C * pow(pMod->FL, 0.25);
 237     clr.s = 100.0 * pow((clr.M / clr.Q), 0.5);
 238
 239     return clr;
 240 }
 241
 242
 243 static
 244 CAM02COLOR InverseCorrelates(CAM02COLOR clr, cmsCIECAM02* pMod)
 245 {
 246
 247     cmsFloat64Number t, e, p1, p2, p3, p4, p5, hr, d2r;
 248     d2r = 3.141592654 / 180.0;
 249
 250     t = pow( (clr.C / (pow((clr.J / 100.0), 0.5) *
 251         (pow((1.64 - pow(0.29, pMod->n)), 0.73)))),
 252         (1.0 / 0.9) );
 253     e = ((12500.0 / 13.0) * pMod->Nc * pMod->Ncb) *
 254         (cos((clr.h * d2r + 2.0)) + 3.8);
 255
 256     clr.A = pMod->adoptedWhite.A * pow(
 257            (clr.J / 100.0),
 258            (1.0 / (pMod->c * pMod->z)));
 259
 260     p1 = e / t;
 261     p2 = (clr.A / pMod->Nbb) + 0.305;
 262     p3 = 21.0 / 20.0;
 263
 264     hr = clr.h * d2r;
 265
 266     if (fabs(sin(hr)) >= fabs(cos(hr))) {
 267         p4 = p1 / sin(hr);
 268         clr.b = (p2 * (2.0 + p3) * (460.0 / 1403.0)) /
 269             (p4 + (2.0 + p3) * (220.0 / 1403.0) *
 270             (cos(hr) / sin(hr)) - (27.0 / 1403.0) +
 271             p3 * (6300.0 / 1403.0));
 272         clr.a = clr.b * (cos(hr) / sin(hr));
 273     }
 274     else {
 275         p5 = p1 / cos(hr);
 276         clr.a = (p2 * (2.0 + p3) * (460.0 / 1403.0)) /
 277             (p5 + (2.0 + p3) * (220.0 / 1403.0) -
 278             ((27.0 / 1403.0) - p3 * (6300.0 / 1403.0)) *
 279             (sin(hr) / cos(hr)));
 280         clr.b = clr.a * (sin(hr) / cos(hr));
 281     }
 282
 283     clr.RGBpa[0] = ((460.0 / 1403.0) * p2) +
 284               ((451.0 / 1403.0) * clr.a) +
 285               ((288.0 / 1403.0) * clr.b);
 286     clr.RGBpa[1] = ((460.0 / 1403.0) * p2) -
 287               ((891.0 / 1403.0) * clr.a) -
 288               ((261.0 / 1403.0) * clr.b);
 289     clr.RGBpa[2] = ((460.0 / 1403.0) * p2) -
 290               ((220.0 / 1403.0) * clr.a) -
 291               ((6300.0 / 1403.0) * clr.b);
 292
 293     return clr;
 294 }
 295
 296 static
 297 CAM02COLOR InverseNonlinearity(CAM02COLOR clr, cmsCIECAM02* pMod)
 298 {
 299     cmsUInt32Number i;
 300     cmsFloat64Number c1;
 301
 302     for (i = 0; i < 3; i++) {
 303         if ((clr.RGBpa[i] - 0.1) < 0) c1 = -1;
 304         else                               c1 = 1;
 305         clr.RGBp[i] = c1 * (100.0 / pMod->FL) *
 306             pow(((27.13 * fabs(clr.RGBpa[i] - 0.1)) /
 307             (400.0 - fabs(clr.RGBpa[i] - 0.1))),
 308             (1.0 / 0.42));
 309     }
 310
 311     return clr;
 312 }
 313
 314 static
 315 CAM02COLOR HPEtoCAT02(CAM02COLOR clr)
 316 {
 317     cmsFloat64Number M[9];
 318
 319     M[0] = (( 0.7328 *  1.910197) + (0.4296 * 0.370950));
 320     M[1] = (( 0.7328 * -1.112124) + (0.4296 * 0.629054));
 321     M[2] = (( 0.7328 *  0.201908) + (0.4296 * 0.000008) - 0.1624);
 322     M[3] = ((-0.7036 *  1.910197) + (1.6975 * 0.370950));
 323     M[4] = ((-0.7036 * -1.112124) + (1.6975 * 0.629054));
 324     M[5] = ((-0.7036 *  0.201908) + (1.6975 * 0.000008) + 0.0061);
 325     M[6] = (( 0.0030 *  1.910197) + (0.0136 * 0.370950));
 326     M[7] = (( 0.0030 * -1.112124) + (0.0136 * 0.629054));
 327     M[8] = (( 0.0030 *  0.201908) + (0.0136 * 0.000008) + 0.9834);;
 328
 329     clr.RGBc[0] = (clr.RGBp[0] * M[0]) + (clr.RGBp[1] * M[1]) + (clr.RGBp[2] * M[2]);
 330     clr.RGBc[1] = (clr.RGBp[0] * M[3]) + (clr.RGBp[1] * M[4]) + (clr.RGBp[2] * M[5]);
 331     clr.RGBc[2] = (clr.RGBp[0] * M[6]) + (clr.RGBp[1] * M[7]) + (clr.RGBp[2] * M[8]);
 332     return clr;
 333 }
 334
 335
 336 static
 337 CAM02COLOR InverseChromaticAdaptation(CAM02COLOR clr,  cmsCIECAM02* pMod)
 338 {
 339     cmsUInt32Number i;
 340     for (i = 0; i < 3; i++) {
 341         clr.RGB[i] = clr.RGBc[i] /
 342             ((pMod->adoptedWhite.XYZ[1] * pMod->D / pMod->adoptedWhite.RGB[i]) + 1.0 - pMod->D);
 343     }
 344     return clr;
 345 }
 346
 347
 348 static
 349 CAM02COLOR CAT02toXYZ(CAM02COLOR clr)
 350 {
 351     clr.XYZ[0] = (clr.RGB[0] *  1.096124) + (clr.RGB[1] * -0.278869) + (clr.RGB[2] *  0.182745);
 352     clr.XYZ[1] = (clr.RGB[0] *  0.454369) + (clr.RGB[1] *  0.473533) + (clr.RGB[2] *  0.072098);
 353     clr.XYZ[2] = (clr.RGB[0] * -0.009628) + (clr.RGB[1] * -0.005698) + (clr.RGB[2] *  1.015326);
 354
 355     return clr;
 356 }
 357
 358
 359 cmsHANDLE  CMSEXPORT cmsCIECAM02Init(cmsContext ContextID, const cmsViewingConditions* pVC)
 360 {
 361     cmsCIECAM02* lpMod;
 362
 363     _cmsAssert(pVC != NULL);
 364
 365     if((lpMod = (cmsCIECAM02*) _cmsMallocZero(ContextID, sizeof(cmsCIECAM02))) == NULL) {
 366         return NULL;
 367     }
 368
 369     lpMod ->ContextID = ContextID;
 370
 371     lpMod ->adoptedWhite.XYZ[0] = pVC ->whitePoint.X;
 372     lpMod ->adoptedWhite.XYZ[1] = pVC ->whitePoint.Y;
 373     lpMod ->adoptedWhite.XYZ[2] = pVC ->whitePoint.Z;
 374
 375     lpMod -> LA       = pVC ->La;
 376     lpMod -> Yb       = pVC ->Yb;
 377     lpMod -> D        = pVC ->D_value;
 378     lpMod -> surround = pVC ->surround;
 379
 380     switch (lpMod -> surround) {
 381
 382
 383     case CUTSHEET_SURROUND:
 384         lpMod->F = 0.8;
 385         lpMod->c = 0.41;
 386         lpMod->Nc = 0.8;
 387         break;
 388
 389     case DARK_SURROUND:
 390         lpMod -> F  = 0.8;
 391         lpMod -> c  = 0.525;
 392         lpMod -> Nc = 0.8;
 393         break;
 394
 395     case DIM_SURROUND:
 396         lpMod -> F  = 0.9;
 397         lpMod -> c  = 0.59;
 398         lpMod -> Nc = 0.95;
 399         break;
 400
 401     default:
 402         // Average surround
 403         lpMod -> F  = 1.0;
 404         lpMod -> c  = 0.69;
 405         lpMod -> Nc = 1.0;
 406     }
 407
 408     lpMod -> n   = compute_n(lpMod);
 409     lpMod -> z   = compute_z(lpMod);
 410     lpMod -> Nbb = computeNbb(lpMod);
 411     lpMod -> FL  = computeFL(lpMod);
 412
 413     if (lpMod -> D == D_CALCULATE) {
 414         lpMod -> D   = computeD(lpMod);
 415     }
 416
 417     lpMod -> Ncb = lpMod -> Nbb;
 418
 419     lpMod -> adoptedWhite = XYZtoCAT02(lpMod -> adoptedWhite);
 420     lpMod -> adoptedWhite = ChromaticAdaptation(lpMod -> adoptedWhite, lpMod);
 421     lpMod -> adoptedWhite = CAT02toHPE(lpMod -> adoptedWhite);
 422     lpMod -> adoptedWhite = NonlinearCompression(lpMod -> adoptedWhite, lpMod);
 423
 424     return (cmsHANDLE) lpMod;
 425
 426 }
 427
 428 void CMSEXPORT cmsCIECAM02Done(cmsHANDLE hModel)
 429 {
 430     cmsCIECAM02* lpMod = (cmsCIECAM02*) hModel;
 431
 432     if (lpMod) _cmsFree(lpMod ->ContextID, lpMod);
 433 }
 434
 435
 436 void CMSEXPORT cmsCIECAM02Forward(cmsHANDLE hModel, const cmsCIEXYZ* pIn, cmsJCh* pOut)
 437 {
 438     CAM02COLOR clr;
 439     cmsCIECAM02* lpMod = (cmsCIECAM02*) hModel;
 440
 441     _cmsAssert(lpMod != NULL);
 442     _cmsAssert(pIn != NULL);
 443     _cmsAssert(pOut != NULL);
 444
 445     clr.XYZ[0] = pIn ->X;
 446     clr.XYZ[1] = pIn ->Y;
 447     clr.XYZ[2] = pIn ->Z;
 448
 449     clr = XYZtoCAT02(clr);
 450     clr = ChromaticAdaptation(clr, lpMod);
 451     clr = CAT02toHPE(clr);
 452     clr = NonlinearCompression(clr, lpMod);
 453     clr = ComputeCorrelates(clr, lpMod);
 454
 455     pOut ->J = clr.J;
 456     pOut ->C = clr.C;
 457     pOut ->h = clr.h;
 458 }
 459
 460 void CMSEXPORT cmsCIECAM02Reverse(cmsHANDLE hModel, const cmsJCh* pIn, cmsCIEXYZ* pOut)
 461 {
 462     CAM02COLOR clr;
 463     cmsCIECAM02* lpMod = (cmsCIECAM02*) hModel;
 464
 465     _cmsAssert(lpMod != NULL);
 466     _cmsAssert(pIn != NULL);
 467     _cmsAssert(pOut != NULL);
 468
 469     clr.J = pIn -> J;
 470     clr.C = pIn -> C;
 471     clr.h = pIn -> h;
 472
 473     clr = InverseCorrelates(clr, lpMod);
 474     clr = InverseNonlinearity(clr, lpMod);
 475     clr = HPEtoCAT02(clr);
 476     clr = InverseChromaticAdaptation(clr, lpMod);
 477     clr = CAT02toXYZ(clr);
 478
 479     pOut ->X = clr.XYZ[0];
 480     pOut ->Y = clr.XYZ[1];
 481     pOut ->Z = clr.XYZ[2];
 482 }
 483