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  24 
  25 // This file is available under and governed by the GNU General Public
  26 // License version 2 only, as published by the Free Software Foundation.
  27 // However, the following notice accompanied the original version of this
  28 // file:
  29 //
  30 
  31 //---------------------------------------------------------------------------------
  32 //
  33 //  Little Color Management System
  34 //  Copyright (c) 1998-2011 Marti Maria Saguer
  35 //
  36 // Permission is hereby granted, free of charge, to any person obtaining
  37 // a copy of this software and associated documentation files (the "Software"),
  38 // to deal in the Software without restriction, including without limitation
  39 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  40 // and/or sell copies of the Software, and to permit persons to whom the Software
  41 // is furnished to do so, subject to the following conditions:
  42 //
  43 // The above copyright notice and this permission notice shall be included in
  44 // all copies or substantial portions of the Software.
  45 //
  46 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
  47 // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
  48 // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
  49 // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
  50 // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
  51 // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
  52 // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
  53 //
  54 //---------------------------------------------------------------------------------
  55 //
  56 
  57 #include "lcms2_internal.h"
  58 
  59 
  60 //----------------------------------------------------------------------------------
  61 
  62 // Optimization for 8 bits, Shaper-CLUT (3 inputs only)
  63 typedef struct {
  64 
  65     cmsContext ContextID;
  66 
  67     const cmsInterpParams* p;   // Tetrahedrical interpolation parameters. This is a not-owned pointer.
  68 
  69     cmsUInt16Number rx[256], ry[256], rz[256];
  70     cmsUInt32Number X0[256], Y0[256], Z0[256];  // Precomputed nodes and offsets for 8-bit input data
  71 
  72 
  73 } Prelin8Data;
  74 
  75 
  76 // Generic optimization for 16 bits Shaper-CLUT-Shaper (any inputs)
  77 typedef struct {
  78 
  79     cmsContext ContextID;
  80 
  81     // Number of channels
  82     int nInputs;
  83     int nOutputs;
  84 
  85     _cmsInterpFn16 EvalCurveIn16[MAX_INPUT_DIMENSIONS];       // The maximum number of input channels is known in advance
  86     cmsInterpParams*  ParamsCurveIn16[MAX_INPUT_DIMENSIONS];
  87 
  88     _cmsInterpFn16 EvalCLUT;            // The evaluator for 3D grid
  89     const cmsInterpParams* CLUTparams;  // (not-owned pointer)
  90 
  91 
  92     _cmsInterpFn16* EvalCurveOut16;       // Points to an array of curve evaluators in 16 bits (not-owned pointer)
  93     cmsInterpParams**  ParamsCurveOut16;  // Points to an array of references to interpolation params (not-owned pointer)
  94 
  95 
  96 } Prelin16Data;
  97 
  98 
  99 // Optimization for matrix-shaper in 8 bits. Numbers are operated in n.14 signed, tables are stored in 1.14 fixed
 100 
 101 typedef cmsInt32Number cmsS1Fixed14Number;   // Note that this may hold more than 16 bits!
 102 
 103 #define DOUBLE_TO_1FIXED14(x) ((cmsS1Fixed14Number) floor((x) * 16384.0 + 0.5))
 104 
 105 typedef struct {
 106 
 107     cmsContext ContextID;
 108 
 109     cmsS1Fixed14Number Shaper1R[256];  // from 0..255 to 1.14  (0.0...1.0)
 110     cmsS1Fixed14Number Shaper1G[256];
 111     cmsS1Fixed14Number Shaper1B[256];
 112 
 113     cmsS1Fixed14Number Mat[3][3];     // n.14 to n.14 (needs a saturation after that)
 114     cmsS1Fixed14Number Off[3];
 115 
 116     cmsUInt16Number Shaper2R[16385];    // 1.14 to 0..255
 117     cmsUInt16Number Shaper2G[16385];
 118     cmsUInt16Number Shaper2B[16385];
 119 
 120 } MatShaper8Data;
 121 
 122 // Curves, optimization is shared between 8 and 16 bits
 123 typedef struct {
 124 
 125     cmsContext ContextID;
 126 
 127     int nCurves;                  // Number of curves
 128     int nElements;                // Elements in curves
 129     cmsUInt16Number** Curves;     // Points to a dynamically  allocated array
 130 
 131 } Curves16Data;
 132 
 133 
 134 // Simple optimizations ----------------------------------------------------------------------------------------------------------
 135 
 136 
 137 // Remove an element in linked chain
 138 static
 139 void _RemoveElement(cmsStage** head)
 140 {
 141     cmsStage* mpe = *head;
 142     cmsStage* next = mpe ->Next;
 143     *head = next;
 144     cmsStageFree(mpe);
 145 }
 146 
 147 // Remove all identities in chain. Note that pt actually is a double pointer to the element that holds the pointer.
 148 static
 149 cmsBool _Remove1Op(cmsPipeline* Lut, cmsStageSignature UnaryOp)
 150 {
 151     cmsStage** pt = &Lut ->Elements;
 152     cmsBool AnyOpt = FALSE;
 153 
 154     while (*pt != NULL) {
 155 
 156         if ((*pt) ->Implements == UnaryOp) {
 157             _RemoveElement(pt);
 158             AnyOpt = TRUE;
 159         }
 160         else
 161             pt = &((*pt) -> Next);
 162     }
 163 
 164     return AnyOpt;
 165 }
 166 
 167 // Same, but only if two adjacent elements are found
 168 static
 169 cmsBool _Remove2Op(cmsPipeline* Lut, cmsStageSignature Op1, cmsStageSignature Op2)
 170 {
 171     cmsStage** pt1;
 172     cmsStage** pt2;
 173     cmsBool AnyOpt = FALSE;
 174 
 175     pt1 = &Lut ->Elements;
 176     if (*pt1 == NULL) return AnyOpt;
 177 
 178     while (*pt1 != NULL) {
 179 
 180         pt2 = &((*pt1) -> Next);
 181         if (*pt2 == NULL) return AnyOpt;
 182 
 183         if ((*pt1) ->Implements == Op1 && (*pt2) ->Implements == Op2) {
 184             _RemoveElement(pt2);
 185             _RemoveElement(pt1);
 186             AnyOpt = TRUE;
 187         }
 188         else
 189             pt1 = &((*pt1) -> Next);
 190     }
 191 
 192     return AnyOpt;
 193 }
 194 
 195 
 196 static
 197 cmsBool CloseEnoughFloat(cmsFloat64Number a, cmsFloat64Number b)
 198 {
 199        return fabs(b - a) < 0.00001f;
 200 }
 201 
 202 static
 203 cmsBool  isFloatMatrixIdentity(const cmsMAT3* a)
 204 {
 205        cmsMAT3 Identity;
 206        int i, j;
 207 
 208        _cmsMAT3identity(&Identity);
 209 
 210        for (i = 0; i < 3; i++)
 211               for (j = 0; j < 3; j++)
 212                      if (!CloseEnoughFloat(a->v[i].n[j], Identity.v[i].n[j])) return FALSE;
 213 
 214        return TRUE;
 215 }
 216 // if two adjacent matrices are found, multiply them.
 217 static
 218 cmsBool _MultiplyMatrix(cmsPipeline* Lut)
 219 {
 220        cmsStage** pt1;
 221        cmsStage** pt2;
 222        cmsStage*  chain;
 223        cmsBool AnyOpt = FALSE;
 224 
 225        pt1 = &Lut->Elements;
 226        if (*pt1 == NULL) return AnyOpt;
 227 
 228        while (*pt1 != NULL) {
 229 
 230               pt2 = &((*pt1)->Next);
 231               if (*pt2 == NULL) return AnyOpt;
 232 
 233               if ((*pt1)->Implements == cmsSigMatrixElemType && (*pt2)->Implements == cmsSigMatrixElemType) {
 234 
 235                      // Get both matrices
 236                      _cmsStageMatrixData* m1 = (_cmsStageMatrixData*) cmsStageData(*pt1);
 237                      _cmsStageMatrixData* m2 = (_cmsStageMatrixData*) cmsStageData(*pt2);
 238                      cmsMAT3 res;
 239 
 240                      // Input offset and output offset should be zero to use this optimization
 241                      if (m1->Offset != NULL || m2 ->Offset != NULL ||
 242                             cmsStageInputChannels(*pt1) != 3 || cmsStageOutputChannels(*pt1) != 3 ||
 243                             cmsStageInputChannels(*pt2) != 3 || cmsStageOutputChannels(*pt2) != 3)
 244                             return FALSE;
 245 
 246                      // Multiply both matrices to get the result
 247                      _cmsMAT3per(&res, (cmsMAT3*)m2->Double, (cmsMAT3*)m1->Double);
 248 
 249                      // Get the next in chain afer the matrices
 250                      chain = (*pt2)->Next;
 251 
 252                      // Remove both matrices
 253                      _RemoveElement(pt2);
 254                      _RemoveElement(pt1);
 255 
 256                      // Now what if the result is a plain identity?
 257                      if (!isFloatMatrixIdentity(&res)) {
 258 
 259                             // We can not get rid of full matrix
 260                             cmsStage* Multmat = cmsStageAllocMatrix(Lut->ContextID, 3, 3, (const cmsFloat64Number*) &res, NULL);
 261 
 262                             // Recover the chain
 263                             if (Multmat != NULL) {
 264                             Multmat->Next = chain;
 265                             }
 266                             *pt1 = Multmat;
 267                      }
 268 
 269                      AnyOpt = TRUE;
 270               }
 271               else
 272                      pt1 = &((*pt1)->Next);
 273        }
 274 
 275        return AnyOpt;
 276 }
 277 
 278 
 279 // Preoptimize just gets rif of no-ops coming paired. Conversion from v2 to v4 followed
 280 // by a v4 to v2 and vice-versa. The elements are then discarded.
 281 static
 282 cmsBool PreOptimize(cmsPipeline* Lut)
 283 {
 284     cmsBool AnyOpt = FALSE, Opt;
 285 
 286     do {
 287 
 288         Opt = FALSE;
 289 
 290         // Remove all identities
 291         Opt |= _Remove1Op(Lut, cmsSigIdentityElemType);
 292 
 293         // Remove XYZ2Lab followed by Lab2XYZ
 294         Opt |= _Remove2Op(Lut, cmsSigXYZ2LabElemType, cmsSigLab2XYZElemType);
 295 
 296         // Remove Lab2XYZ followed by XYZ2Lab
 297         Opt |= _Remove2Op(Lut, cmsSigLab2XYZElemType, cmsSigXYZ2LabElemType);
 298 
 299         // Remove V4 to V2 followed by V2 to V4
 300         Opt |= _Remove2Op(Lut, cmsSigLabV4toV2, cmsSigLabV2toV4);
 301 
 302         // Remove V2 to V4 followed by V4 to V2
 303         Opt |= _Remove2Op(Lut, cmsSigLabV2toV4, cmsSigLabV4toV2);
 304 
 305         // Remove float pcs Lab conversions
 306         Opt |= _Remove2Op(Lut, cmsSigLab2FloatPCS, cmsSigFloatPCS2Lab);
 307 
 308         // Remove float pcs Lab conversions
 309         Opt |= _Remove2Op(Lut, cmsSigXYZ2FloatPCS, cmsSigFloatPCS2XYZ);
 310 
 311         // Simplify matrix.
 312         Opt |= _MultiplyMatrix(Lut);
 313 
 314         if (Opt) AnyOpt = TRUE;
 315 
 316     } while (Opt);
 317 
 318     return AnyOpt;
 319 }
 320 
 321 static
 322 void Eval16nop1D(register const cmsUInt16Number Input[],
 323                  register cmsUInt16Number Output[],
 324                  register const struct _cms_interp_struc* p)
 325 {
 326     Output[0] = Input[0];
 327 
 328     cmsUNUSED_PARAMETER(p);
 329 }
 330 
 331 static
 332 void PrelinEval16(register const cmsUInt16Number Input[],
 333                   register cmsUInt16Number Output[],
 334                   register const void* D)
 335 {
 336     Prelin16Data* p16 = (Prelin16Data*) D;
 337     cmsUInt16Number  StageABC[MAX_INPUT_DIMENSIONS];
 338     cmsUInt16Number  StageDEF[cmsMAXCHANNELS];
 339     int i;
 340 
 341     for (i=0; i < p16 ->nInputs; i++) {
 342 
 343         p16 ->EvalCurveIn16[i](&Input[i], &StageABC[i], p16 ->ParamsCurveIn16[i]);
 344     }
 345 
 346     p16 ->EvalCLUT(StageABC, StageDEF, p16 ->CLUTparams);
 347 
 348     for (i=0; i < p16 ->nOutputs; i++) {
 349 
 350         p16 ->EvalCurveOut16[i](&StageDEF[i], &Output[i], p16 ->ParamsCurveOut16[i]);
 351     }
 352 }
 353 
 354 
 355 static
 356 void PrelinOpt16free(cmsContext ContextID, void* ptr)
 357 {
 358     Prelin16Data* p16 = (Prelin16Data*) ptr;
 359 
 360     _cmsFree(ContextID, p16 ->EvalCurveOut16);
 361     _cmsFree(ContextID, p16 ->ParamsCurveOut16);
 362 
 363     _cmsFree(ContextID, p16);
 364 }
 365 
 366 static
 367 void* Prelin16dup(cmsContext ContextID, const void* ptr)
 368 {
 369     Prelin16Data* p16 = (Prelin16Data*) ptr;
 370     Prelin16Data* Duped = (Prelin16Data*) _cmsDupMem(ContextID, p16, sizeof(Prelin16Data));
 371 
 372     if (Duped == NULL) return NULL;
 373 
 374     Duped->EvalCurveOut16 = (_cmsInterpFn16*) _cmsDupMem(ContextID, p16->EvalCurveOut16, p16->nOutputs * sizeof(_cmsInterpFn16));
 375     Duped->ParamsCurveOut16 = (cmsInterpParams**)_cmsDupMem(ContextID, p16->ParamsCurveOut16, p16->nOutputs * sizeof(cmsInterpParams*));
 376 
 377     return Duped;
 378 }
 379 
 380 
 381 static
 382 Prelin16Data* PrelinOpt16alloc(cmsContext ContextID,
 383                                const cmsInterpParams* ColorMap,
 384                                int nInputs, cmsToneCurve** In,
 385                                int nOutputs, cmsToneCurve** Out )
 386 {
 387     int i;
 388     Prelin16Data* p16 = (Prelin16Data*)_cmsMallocZero(ContextID, sizeof(Prelin16Data));
 389     if (p16 == NULL) return NULL;
 390 
 391     p16 ->nInputs = nInputs;
 392     p16 -> nOutputs = nOutputs;
 393 
 394 
 395     for (i=0; i < nInputs; i++) {
 396 
 397         if (In == NULL) {
 398             p16 -> ParamsCurveIn16[i] = NULL;
 399             p16 -> EvalCurveIn16[i] = Eval16nop1D;
 400 
 401         }
 402         else {
 403             p16 -> ParamsCurveIn16[i] = In[i] ->InterpParams;
 404             p16 -> EvalCurveIn16[i] = p16 ->ParamsCurveIn16[i]->Interpolation.Lerp16;
 405         }
 406     }
 407 
 408     p16 ->CLUTparams = ColorMap;
 409     p16 ->EvalCLUT   = ColorMap ->Interpolation.Lerp16;
 410 
 411 
 412     p16 -> EvalCurveOut16 = (_cmsInterpFn16*) _cmsCalloc(ContextID, nOutputs, sizeof(_cmsInterpFn16));
 413     p16 -> ParamsCurveOut16 = (cmsInterpParams**) _cmsCalloc(ContextID, nOutputs, sizeof(cmsInterpParams* ));
 414 
 415     for (i=0; i < nOutputs; i++) {
 416 
 417         if (Out == NULL) {
 418             p16 ->ParamsCurveOut16[i] = NULL;
 419             p16 -> EvalCurveOut16[i] = Eval16nop1D;
 420         }
 421         else {
 422 
 423             p16 ->ParamsCurveOut16[i] = Out[i] ->InterpParams;
 424             p16 -> EvalCurveOut16[i] = p16 ->ParamsCurveOut16[i]->Interpolation.Lerp16;
 425         }
 426     }
 427 
 428     return p16;
 429 }
 430 
 431 
 432 
 433 // Resampling ---------------------------------------------------------------------------------
 434 
 435 #define PRELINEARIZATION_POINTS 4096
 436 
 437 // Sampler implemented by another LUT. This is a clean way to precalculate the devicelink 3D CLUT for
 438 // almost any transform. We use floating point precision and then convert from floating point to 16 bits.
 439 static
 440 int XFormSampler16(register const cmsUInt16Number In[], register cmsUInt16Number Out[], register void* Cargo)
 441 {
 442     cmsPipeline* Lut = (cmsPipeline*) Cargo;
 443     cmsFloat32Number InFloat[cmsMAXCHANNELS], OutFloat[cmsMAXCHANNELS];
 444     cmsUInt32Number i;
 445 
 446     _cmsAssert(Lut -> InputChannels < cmsMAXCHANNELS);
 447     _cmsAssert(Lut -> OutputChannels < cmsMAXCHANNELS);
 448 
 449     // From 16 bit to floating point
 450     for (i=0; i < Lut ->InputChannels; i++)
 451         InFloat[i] = (cmsFloat32Number) (In[i] / 65535.0);
 452 
 453     // Evaluate in floating point
 454     cmsPipelineEvalFloat(InFloat, OutFloat, Lut);
 455 
 456     // Back to 16 bits representation
 457     for (i=0; i < Lut ->OutputChannels; i++)
 458         Out[i] = _cmsQuickSaturateWord(OutFloat[i] * 65535.0);
 459 
 460     // Always succeed
 461     return TRUE;
 462 }
 463 
 464 // Try to see if the curves of a given MPE are linear
 465 static
 466 cmsBool AllCurvesAreLinear(cmsStage* mpe)
 467 {
 468     cmsToneCurve** Curves;
 469     cmsUInt32Number i, n;
 470 
 471     Curves = _cmsStageGetPtrToCurveSet(mpe);
 472     if (Curves == NULL) return FALSE;
 473 
 474     n = cmsStageOutputChannels(mpe);
 475 
 476     for (i=0; i < n; i++) {
 477         if (!cmsIsToneCurveLinear(Curves[i])) return FALSE;
 478     }
 479 
 480     return TRUE;
 481 }
 482 
 483 // This function replaces a specific node placed in "At" by the "Value" numbers. Its purpose
 484 // is to fix scum dot on broken profiles/transforms. Works on 1, 3 and 4 channels
 485 static
 486 cmsBool  PatchLUT(cmsStage* CLUT, cmsUInt16Number At[], cmsUInt16Number Value[],
 487                   int nChannelsOut, int nChannelsIn)
 488 {
 489     _cmsStageCLutData* Grid = (_cmsStageCLutData*) CLUT ->Data;
 490     cmsInterpParams* p16  = Grid ->Params;
 491     cmsFloat64Number px, py, pz, pw;
 492     int        x0, y0, z0, w0;
 493     int        i, index;
 494 
 495     if (CLUT -> Type != cmsSigCLutElemType) {
 496         cmsSignalError(CLUT->ContextID, cmsERROR_INTERNAL, "(internal) Attempt to PatchLUT on non-lut stage");
 497         return FALSE;
 498     }
 499 
 500     if (nChannelsIn == 4) {
 501 
 502         px = ((cmsFloat64Number) At[0] * (p16->Domain[0])) / 65535.0;
 503         py = ((cmsFloat64Number) At[1] * (p16->Domain[1])) / 65535.0;
 504         pz = ((cmsFloat64Number) At[2] * (p16->Domain[2])) / 65535.0;
 505         pw = ((cmsFloat64Number) At[3] * (p16->Domain[3])) / 65535.0;
 506 
 507         x0 = (int) floor(px);
 508         y0 = (int) floor(py);
 509         z0 = (int) floor(pz);
 510         w0 = (int) floor(pw);
 511 
 512         if (((px - x0) != 0) ||
 513             ((py - y0) != 0) ||
 514             ((pz - z0) != 0) ||
 515             ((pw - w0) != 0)) return FALSE; // Not on exact node
 516 
 517         index = p16 -> opta[3] * x0 +
 518                 p16 -> opta[2] * y0 +
 519                 p16 -> opta[1] * z0 +
 520                 p16 -> opta[0] * w0;
 521     }
 522     else
 523         if (nChannelsIn == 3) {
 524 
 525             px = ((cmsFloat64Number) At[0] * (p16->Domain[0])) / 65535.0;
 526             py = ((cmsFloat64Number) At[1] * (p16->Domain[1])) / 65535.0;
 527             pz = ((cmsFloat64Number) At[2] * (p16->Domain[2])) / 65535.0;
 528 
 529             x0 = (int) floor(px);
 530             y0 = (int) floor(py);
 531             z0 = (int) floor(pz);
 532 
 533             if (((px - x0) != 0) ||
 534                 ((py - y0) != 0) ||
 535                 ((pz - z0) != 0)) return FALSE;  // Not on exact node
 536 
 537             index = p16 -> opta[2] * x0 +
 538                     p16 -> opta[1] * y0 +
 539                     p16 -> opta[0] * z0;
 540         }
 541         else
 542             if (nChannelsIn == 1) {
 543 
 544                 px = ((cmsFloat64Number) At[0] * (p16->Domain[0])) / 65535.0;
 545 
 546                 x0 = (int) floor(px);
 547 
 548                 if (((px - x0) != 0)) return FALSE; // Not on exact node
 549 
 550                 index = p16 -> opta[0] * x0;
 551             }
 552             else {
 553                 cmsSignalError(CLUT->ContextID, cmsERROR_INTERNAL, "(internal) %d Channels are not supported on PatchLUT", nChannelsIn);
 554                 return FALSE;
 555             }
 556 
 557             for (i=0; i < nChannelsOut; i++)
 558                 Grid -> Tab.T[index + i] = Value[i];
 559 
 560             return TRUE;
 561 }
 562 
 563 // Auxiliar, to see if two values are equal or very different
 564 static
 565 cmsBool WhitesAreEqual(int n, cmsUInt16Number White1[], cmsUInt16Number White2[] )
 566 {
 567     int i;
 568 
 569     for (i=0; i < n; i++) {
 570 
 571         if (abs(White1[i] - White2[i]) > 0xf000) return TRUE;  // Values are so extremly different that the fixup should be avoided
 572         if (White1[i] != White2[i]) return FALSE;
 573     }
 574     return TRUE;
 575 }
 576 
 577 
 578 // Locate the node for the white point and fix it to pure white in order to avoid scum dot.
 579 static
 580 cmsBool FixWhiteMisalignment(cmsPipeline* Lut, cmsColorSpaceSignature EntryColorSpace, cmsColorSpaceSignature ExitColorSpace)
 581 {
 582     cmsUInt16Number *WhitePointIn, *WhitePointOut;
 583     cmsUInt16Number  WhiteIn[cmsMAXCHANNELS], WhiteOut[cmsMAXCHANNELS], ObtainedOut[cmsMAXCHANNELS];
 584     cmsUInt32Number i, nOuts, nIns;
 585     cmsStage *PreLin = NULL, *CLUT = NULL, *PostLin = NULL;
 586 
 587     if (!_cmsEndPointsBySpace(EntryColorSpace,
 588         &WhitePointIn, NULL, &nIns)) return FALSE;
 589 
 590     if (!_cmsEndPointsBySpace(ExitColorSpace,
 591         &WhitePointOut, NULL, &nOuts)) return FALSE;
 592 
 593     // It needs to be fixed?
 594     if (Lut ->InputChannels != nIns) return FALSE;
 595     if (Lut ->OutputChannels != nOuts) return FALSE;
 596 
 597     cmsPipelineEval16(WhitePointIn, ObtainedOut, Lut);
 598 
 599     if (WhitesAreEqual(nOuts, WhitePointOut, ObtainedOut)) return TRUE; // whites already match
 600 
 601     // Check if the LUT comes as Prelin, CLUT or Postlin. We allow all combinations
 602     if (!cmsPipelineCheckAndRetreiveStages(Lut, 3, cmsSigCurveSetElemType, cmsSigCLutElemType, cmsSigCurveSetElemType, &PreLin, &CLUT, &PostLin))
 603         if (!cmsPipelineCheckAndRetreiveStages(Lut, 2, cmsSigCurveSetElemType, cmsSigCLutElemType, &PreLin, &CLUT))
 604             if (!cmsPipelineCheckAndRetreiveStages(Lut, 2, cmsSigCLutElemType, cmsSigCurveSetElemType, &CLUT, &PostLin))
 605                 if (!cmsPipelineCheckAndRetreiveStages(Lut, 1, cmsSigCLutElemType, &CLUT))
 606                     return FALSE;
 607 
 608     // We need to interpolate white points of both, pre and post curves
 609     if (PreLin) {
 610 
 611         cmsToneCurve** Curves = _cmsStageGetPtrToCurveSet(PreLin);
 612 
 613         for (i=0; i < nIns; i++) {
 614             WhiteIn[i] = cmsEvalToneCurve16(Curves[i], WhitePointIn[i]);
 615         }
 616     }
 617     else {
 618         for (i=0; i < nIns; i++)
 619             WhiteIn[i] = WhitePointIn[i];
 620     }
 621 
 622     // If any post-linearization, we need to find how is represented white before the curve, do
 623     // a reverse interpolation in this case.
 624     if (PostLin) {
 625 
 626         cmsToneCurve** Curves = _cmsStageGetPtrToCurveSet(PostLin);
 627 
 628         for (i=0; i < nOuts; i++) {
 629 
 630             cmsToneCurve* InversePostLin = cmsReverseToneCurve(Curves[i]);
 631             if (InversePostLin == NULL) {
 632                 WhiteOut[i] = WhitePointOut[i];
 633 
 634             } else {
 635 
 636                 WhiteOut[i] = cmsEvalToneCurve16(InversePostLin, WhitePointOut[i]);
 637                 cmsFreeToneCurve(InversePostLin);
 638             }
 639         }
 640     }
 641     else {
 642         for (i=0; i < nOuts; i++)
 643             WhiteOut[i] = WhitePointOut[i];
 644     }
 645 
 646     // Ok, proceed with patching. May fail and we don't care if it fails
 647     PatchLUT(CLUT, WhiteIn, WhiteOut, nOuts, nIns);
 648 
 649     return TRUE;
 650 }
 651 
 652 // -----------------------------------------------------------------------------------------------------------------------------------------------
 653 // This function creates simple LUT from complex ones. The generated LUT has an optional set of
 654 // prelinearization curves, a CLUT of nGridPoints and optional postlinearization tables.
 655 // These curves have to exist in the original LUT in order to be used in the simplified output.
 656 // Caller may also use the flags to allow this feature.
 657 // LUTS with all curves will be simplified to a single curve. Parametric curves are lost.
 658 // This function should be used on 16-bits LUTS only, as floating point losses precision when simplified
 659 // -----------------------------------------------------------------------------------------------------------------------------------------------
 660 
 661 static
 662 cmsBool OptimizeByResampling(cmsPipeline** Lut, cmsUInt32Number Intent, cmsUInt32Number* InputFormat, cmsUInt32Number* OutputFormat, cmsUInt32Number* dwFlags)
 663 {
 664     cmsPipeline* Src = NULL;
 665     cmsPipeline* Dest = NULL;
 666     cmsStage* mpe;
 667     cmsStage* CLUT;
 668     cmsStage *KeepPreLin = NULL, *KeepPostLin = NULL;
 669     int nGridPoints;
 670     cmsColorSpaceSignature ColorSpace, OutputColorSpace;
 671     cmsStage *NewPreLin = NULL;
 672     cmsStage *NewPostLin = NULL;
 673     _cmsStageCLutData* DataCLUT;
 674     cmsToneCurve** DataSetIn;
 675     cmsToneCurve** DataSetOut;
 676     Prelin16Data* p16;
 677 
 678     // This is a loosy optimization! does not apply in floating-point cases
 679     if (_cmsFormatterIsFloat(*InputFormat) || _cmsFormatterIsFloat(*OutputFormat)) return FALSE;
 680 
 681     ColorSpace       = _cmsICCcolorSpace(T_COLORSPACE(*InputFormat));
 682     OutputColorSpace = _cmsICCcolorSpace(T_COLORSPACE(*OutputFormat));
 683     nGridPoints      = _cmsReasonableGridpointsByColorspace(ColorSpace, *dwFlags);
 684 
 685     // For empty LUTs, 2 points are enough
 686     if (cmsPipelineStageCount(*Lut) == 0)
 687         nGridPoints = 2;
 688 
 689     Src = *Lut;
 690 
 691     // Named color pipelines cannot be optimized either
 692     for (mpe = cmsPipelineGetPtrToFirstStage(Src);
 693         mpe != NULL;
 694         mpe = cmsStageNext(mpe)) {
 695             if (cmsStageType(mpe) == cmsSigNamedColorElemType) return FALSE;
 696     }
 697 
 698     // Allocate an empty LUT
 699     Dest =  cmsPipelineAlloc(Src ->ContextID, Src ->InputChannels, Src ->OutputChannels);
 700     if (!Dest) return FALSE;
 701 
 702     // Prelinearization tables are kept unless indicated by flags
 703     if (*dwFlags & cmsFLAGS_CLUT_PRE_LINEARIZATION) {
 704 
 705         // Get a pointer to the prelinearization element
 706         cmsStage* PreLin = cmsPipelineGetPtrToFirstStage(Src);
 707 
 708         // Check if suitable
 709         if (PreLin ->Type == cmsSigCurveSetElemType) {
 710 
 711             // Maybe this is a linear tram, so we can avoid the whole stuff
 712             if (!AllCurvesAreLinear(PreLin)) {
 713 
 714                 // All seems ok, proceed.
 715                 NewPreLin = cmsStageDup(PreLin);
 716                 if(!cmsPipelineInsertStage(Dest, cmsAT_BEGIN, NewPreLin))
 717                     goto Error;
 718 
 719                 // Remove prelinearization. Since we have duplicated the curve
 720                 // in destination LUT, the sampling shoud be applied after this stage.
 721                 cmsPipelineUnlinkStage(Src, cmsAT_BEGIN, &KeepPreLin);
 722             }
 723         }
 724     }
 725 
 726     // Allocate the CLUT
 727     CLUT = cmsStageAllocCLut16bit(Src ->ContextID, nGridPoints, Src ->InputChannels, Src->OutputChannels, NULL);
 728     if (CLUT == NULL) return FALSE;
 729 
 730     // Add the CLUT to the destination LUT
 731     if (!cmsPipelineInsertStage(Dest, cmsAT_END, CLUT)) {
 732         goto Error;
 733     }
 734 
 735     // Postlinearization tables are kept unless indicated by flags
 736     if (*dwFlags & cmsFLAGS_CLUT_POST_LINEARIZATION) {
 737 
 738         // Get a pointer to the postlinearization if present
 739         cmsStage* PostLin = cmsPipelineGetPtrToLastStage(Src);
 740 
 741         // Check if suitable
 742         if (cmsStageType(PostLin) == cmsSigCurveSetElemType) {
 743 
 744             // Maybe this is a linear tram, so we can avoid the whole stuff
 745             if (!AllCurvesAreLinear(PostLin)) {
 746 
 747                 // All seems ok, proceed.
 748                 NewPostLin = cmsStageDup(PostLin);
 749                 if (!cmsPipelineInsertStage(Dest, cmsAT_END, NewPostLin))
 750                     goto Error;
 751 
 752                 // In destination LUT, the sampling shoud be applied after this stage.
 753                 cmsPipelineUnlinkStage(Src, cmsAT_END, &KeepPostLin);
 754             }
 755         }
 756     }
 757 
 758     // Now its time to do the sampling. We have to ignore pre/post linearization
 759     // The source LUT whithout pre/post curves is passed as parameter.
 760     if (!cmsStageSampleCLut16bit(CLUT, XFormSampler16, (void*) Src, 0)) {
 761 Error:
 762         // Ops, something went wrong, Restore stages
 763         if (KeepPreLin != NULL) {
 764             if (!cmsPipelineInsertStage(Src, cmsAT_BEGIN, KeepPreLin)) {
 765                 _cmsAssert(0); // This never happens
 766             }
 767         }
 768         if (KeepPostLin != NULL) {
 769             if (!cmsPipelineInsertStage(Src, cmsAT_END,   KeepPostLin)) {
 770                 _cmsAssert(0); // This never happens
 771             }
 772         }
 773         cmsPipelineFree(Dest);
 774         return FALSE;
 775     }
 776 
 777     // Done.
 778 
 779     if (KeepPreLin != NULL) cmsStageFree(KeepPreLin);
 780     if (KeepPostLin != NULL) cmsStageFree(KeepPostLin);
 781     cmsPipelineFree(Src);
 782 
 783     DataCLUT = (_cmsStageCLutData*) CLUT ->Data;
 784 
 785     if (NewPreLin == NULL) DataSetIn = NULL;
 786     else DataSetIn = ((_cmsStageToneCurvesData*) NewPreLin ->Data) ->TheCurves;
 787 
 788     if (NewPostLin == NULL) DataSetOut = NULL;
 789     else  DataSetOut = ((_cmsStageToneCurvesData*) NewPostLin ->Data) ->TheCurves;
 790 
 791 
 792     if (DataSetIn == NULL && DataSetOut == NULL) {
 793 
 794         _cmsPipelineSetOptimizationParameters(Dest, (_cmsOPTeval16Fn) DataCLUT->Params->Interpolation.Lerp16, DataCLUT->Params, NULL, NULL);
 795     }
 796     else {
 797 
 798         p16 = PrelinOpt16alloc(Dest ->ContextID,
 799             DataCLUT ->Params,
 800             Dest ->InputChannels,
 801             DataSetIn,
 802             Dest ->OutputChannels,
 803             DataSetOut);
 804 
 805         _cmsPipelineSetOptimizationParameters(Dest, PrelinEval16, (void*) p16, PrelinOpt16free, Prelin16dup);
 806     }
 807 
 808 
 809     // Don't fix white on absolute colorimetric
 810     if (Intent == INTENT_ABSOLUTE_COLORIMETRIC)
 811         *dwFlags |= cmsFLAGS_NOWHITEONWHITEFIXUP;
 812 
 813     if (!(*dwFlags & cmsFLAGS_NOWHITEONWHITEFIXUP)) {
 814 
 815         FixWhiteMisalignment(Dest, ColorSpace, OutputColorSpace);
 816     }
 817 
 818     *Lut = Dest;
 819     return TRUE;
 820 
 821     cmsUNUSED_PARAMETER(Intent);
 822 }
 823 
 824 
 825 // -----------------------------------------------------------------------------------------------------------------------------------------------
 826 // Fixes the gamma balancing of transform. This is described in my paper "Prelinearization Stages on
 827 // Color-Management Application-Specific Integrated Circuits (ASICs)" presented at NIP24. It only works
 828 // for RGB transforms. See the paper for more details
 829 // -----------------------------------------------------------------------------------------------------------------------------------------------
 830 
 831 
 832 // Normalize endpoints by slope limiting max and min. This assures endpoints as well.
 833 // Descending curves are handled as well.
 834 static
 835 void SlopeLimiting(cmsToneCurve* g)
 836 {
 837     int BeginVal, EndVal;
 838     int AtBegin = (int) floor((cmsFloat64Number) g ->nEntries * 0.02 + 0.5);   // Cutoff at 2%
 839     int AtEnd   = g ->nEntries - AtBegin - 1;                                  // And 98%
 840     cmsFloat64Number Val, Slope, beta;
 841     int i;
 842 
 843     if (cmsIsToneCurveDescending(g)) {
 844         BeginVal = 0xffff; EndVal = 0;
 845     }
 846     else {
 847         BeginVal = 0; EndVal = 0xffff;
 848     }
 849 
 850     // Compute slope and offset for begin of curve
 851     Val   = g ->Table16[AtBegin];
 852     Slope = (Val - BeginVal) / AtBegin;
 853     beta  = Val - Slope * AtBegin;
 854 
 855     for (i=0; i < AtBegin; i++)
 856         g ->Table16[i] = _cmsQuickSaturateWord(i * Slope + beta);
 857 
 858     // Compute slope and offset for the end
 859     Val   = g ->Table16[AtEnd];
 860     Slope = (EndVal - Val) / AtBegin;   // AtBegin holds the X interval, which is same in both cases
 861     beta  = Val - Slope * AtEnd;
 862 
 863     for (i = AtEnd; i < (int) g ->nEntries; i++)
 864         g ->Table16[i] = _cmsQuickSaturateWord(i * Slope + beta);
 865 }
 866 
 867 
 868 // Precomputes tables for 8-bit on input devicelink.
 869 static
 870 Prelin8Data* PrelinOpt8alloc(cmsContext ContextID, const cmsInterpParams* p, cmsToneCurve* G[3])
 871 {
 872     int i;
 873     cmsUInt16Number Input[3];
 874     cmsS15Fixed16Number v1, v2, v3;
 875     Prelin8Data* p8;
 876 
 877     p8 = (Prelin8Data*)_cmsMallocZero(ContextID, sizeof(Prelin8Data));
 878     if (p8 == NULL) return NULL;
 879 
 880     // Since this only works for 8 bit input, values comes always as x * 257,
 881     // we can safely take msb byte (x << 8 + x)
 882 
 883     for (i=0; i < 256; i++) {
 884 
 885         if (G != NULL) {
 886 
 887             // Get 16-bit representation
 888             Input[0] = cmsEvalToneCurve16(G[0], FROM_8_TO_16(i));
 889             Input[1] = cmsEvalToneCurve16(G[1], FROM_8_TO_16(i));
 890             Input[2] = cmsEvalToneCurve16(G[2], FROM_8_TO_16(i));
 891         }
 892         else {
 893             Input[0] = FROM_8_TO_16(i);
 894             Input[1] = FROM_8_TO_16(i);
 895             Input[2] = FROM_8_TO_16(i);
 896         }
 897 
 898 
 899         // Move to 0..1.0 in fixed domain
 900         v1 = _cmsToFixedDomain(Input[0] * p -> Domain[0]);
 901         v2 = _cmsToFixedDomain(Input[1] * p -> Domain[1]);
 902         v3 = _cmsToFixedDomain(Input[2] * p -> Domain[2]);
 903 
 904         // Store the precalculated table of nodes
 905         p8 ->X0[i] = (p->opta[2] * FIXED_TO_INT(v1));
 906         p8 ->Y0[i] = (p->opta[1] * FIXED_TO_INT(v2));
 907         p8 ->Z0[i] = (p->opta[0] * FIXED_TO_INT(v3));
 908 
 909         // Store the precalculated table of offsets
 910         p8 ->rx[i] = (cmsUInt16Number) FIXED_REST_TO_INT(v1);
 911         p8 ->ry[i] = (cmsUInt16Number) FIXED_REST_TO_INT(v2);
 912         p8 ->rz[i] = (cmsUInt16Number) FIXED_REST_TO_INT(v3);
 913     }
 914 
 915     p8 ->ContextID = ContextID;
 916     p8 ->p = p;
 917 
 918     return p8;
 919 }
 920 
 921 static
 922 void Prelin8free(cmsContext ContextID, void* ptr)
 923 {
 924     _cmsFree(ContextID, ptr);
 925 }
 926 
 927 static
 928 void* Prelin8dup(cmsContext ContextID, const void* ptr)
 929 {
 930     return _cmsDupMem(ContextID, ptr, sizeof(Prelin8Data));
 931 }
 932 
 933 
 934 
 935 // A optimized interpolation for 8-bit input.
 936 #define DENS(i,j,k) (LutTable[(i)+(j)+(k)+OutChan])
 937 static
 938 void PrelinEval8(register const cmsUInt16Number Input[],
 939                   register cmsUInt16Number Output[],
 940                   register const void* D)
 941 {
 942 
 943     cmsUInt8Number         r, g, b;
 944     cmsS15Fixed16Number    rx, ry, rz;
 945     cmsS15Fixed16Number    c0, c1, c2, c3, Rest;
 946     int                    OutChan;
 947     register cmsS15Fixed16Number    X0, X1, Y0, Y1, Z0, Z1;
 948     Prelin8Data* p8 = (Prelin8Data*) D;
 949     register const cmsInterpParams* p = p8 ->p;
 950     int                    TotalOut = p -> nOutputs;
 951     const cmsUInt16Number* LutTable = (const cmsUInt16Number*) p->Table;
 952 
 953     r = Input[0] >> 8;
 954     g = Input[1] >> 8;
 955     b = Input[2] >> 8;
 956 
 957     X0 = X1 = p8->X0[r];
 958     Y0 = Y1 = p8->Y0[g];
 959     Z0 = Z1 = p8->Z0[b];
 960 
 961     rx = p8 ->rx[r];
 962     ry = p8 ->ry[g];
 963     rz = p8 ->rz[b];
 964 
 965     X1 = X0 + ((rx == 0) ? 0 : p ->opta[2]);
 966     Y1 = Y0 + ((ry == 0) ? 0 : p ->opta[1]);
 967     Z1 = Z0 + ((rz == 0) ? 0 : p ->opta[0]);
 968 
 969 
 970     // These are the 6 Tetrahedral
 971     for (OutChan=0; OutChan < TotalOut; OutChan++) {
 972 
 973         c0 = DENS(X0, Y0, Z0);
 974 
 975         if (rx >= ry && ry >= rz)
 976         {
 977             c1 = DENS(X1, Y0, Z0) - c0;
 978             c2 = DENS(X1, Y1, Z0) - DENS(X1, Y0, Z0);
 979             c3 = DENS(X1, Y1, Z1) - DENS(X1, Y1, Z0);
 980         }
 981         else
 982             if (rx >= rz && rz >= ry)
 983             {
 984                 c1 = DENS(X1, Y0, Z0) - c0;
 985                 c2 = DENS(X1, Y1, Z1) - DENS(X1, Y0, Z1);
 986                 c3 = DENS(X1, Y0, Z1) - DENS(X1, Y0, Z0);
 987             }
 988             else
 989                 if (rz >= rx && rx >= ry)
 990                 {
 991                     c1 = DENS(X1, Y0, Z1) - DENS(X0, Y0, Z1);
 992                     c2 = DENS(X1, Y1, Z1) - DENS(X1, Y0, Z1);
 993                     c3 = DENS(X0, Y0, Z1) - c0;
 994                 }
 995                 else
 996                     if (ry >= rx && rx >= rz)
 997                     {
 998                         c1 = DENS(X1, Y1, Z0) - DENS(X0, Y1, Z0);
 999                         c2 = DENS(X0, Y1, Z0) - c0;
1000                         c3 = DENS(X1, Y1, Z1) - DENS(X1, Y1, Z0);
1001                     }
1002                     else
1003                         if (ry >= rz && rz >= rx)
1004                         {
1005                             c1 = DENS(X1, Y1, Z1) - DENS(X0, Y1, Z1);
1006                             c2 = DENS(X0, Y1, Z0) - c0;
1007                             c3 = DENS(X0, Y1, Z1) - DENS(X0, Y1, Z0);
1008                         }
1009                         else
1010                             if (rz >= ry && ry >= rx)
1011                             {
1012                                 c1 = DENS(X1, Y1, Z1) - DENS(X0, Y1, Z1);
1013                                 c2 = DENS(X0, Y1, Z1) - DENS(X0, Y0, Z1);
1014                                 c3 = DENS(X0, Y0, Z1) - c0;
1015                             }
1016                             else  {
1017                                 c1 = c2 = c3 = 0;
1018                             }
1019 
1020 
1021                             Rest = c1 * rx + c2 * ry + c3 * rz + 0x8001;
1022                             Output[OutChan] = (cmsUInt16Number)c0 + ((Rest + (Rest>>16))>>16);
1023 
1024     }
1025 }
1026 
1027 #undef DENS
1028 
1029 
1030 // Curves that contain wide empty areas are not optimizeable
1031 static
1032 cmsBool IsDegenerated(const cmsToneCurve* g)
1033 {
1034     int i, Zeros = 0, Poles = 0;
1035     int nEntries = g ->nEntries;
1036 
1037     for (i=0; i < nEntries; i++) {
1038 
1039         if (g ->Table16[i] == 0x0000) Zeros++;
1040         if (g ->Table16[i] == 0xffff) Poles++;
1041     }
1042 
1043     if (Zeros == 1 && Poles == 1) return FALSE;  // For linear tables
1044     if (Zeros > (nEntries / 4)) return TRUE;  // Degenerated, mostly zeros
1045     if (Poles > (nEntries / 4)) return TRUE;  // Degenerated, mostly poles
1046 
1047     return FALSE;
1048 }
1049 
1050 // --------------------------------------------------------------------------------------------------------------
1051 // We need xput over here
1052 
1053 static
1054 cmsBool OptimizeByComputingLinearization(cmsPipeline** Lut, cmsUInt32Number Intent, cmsUInt32Number* InputFormat, cmsUInt32Number* OutputFormat, cmsUInt32Number* dwFlags)
1055 {
1056     cmsPipeline* OriginalLut;
1057     int nGridPoints;
1058     cmsToneCurve *Trans[cmsMAXCHANNELS], *TransReverse[cmsMAXCHANNELS];
1059     cmsUInt32Number t, i;
1060     cmsFloat32Number v, In[cmsMAXCHANNELS], Out[cmsMAXCHANNELS];
1061     cmsBool lIsSuitable, lIsLinear;
1062     cmsPipeline* OptimizedLUT = NULL, *LutPlusCurves = NULL;
1063     cmsStage* OptimizedCLUTmpe;
1064     cmsColorSpaceSignature ColorSpace, OutputColorSpace;
1065     cmsStage* OptimizedPrelinMpe;
1066     cmsStage* mpe;
1067     cmsToneCurve**   OptimizedPrelinCurves;
1068     _cmsStageCLutData*     OptimizedPrelinCLUT;
1069 
1070 
1071     // This is a loosy optimization! does not apply in floating-point cases
1072     if (_cmsFormatterIsFloat(*InputFormat) || _cmsFormatterIsFloat(*OutputFormat)) return FALSE;
1073 
1074     // Only on RGB
1075     if (T_COLORSPACE(*InputFormat)  != PT_RGB) return FALSE;
1076     if (T_COLORSPACE(*OutputFormat) != PT_RGB) return FALSE;
1077 
1078 
1079     // On 16 bits, user has to specify the feature
1080     if (!_cmsFormatterIs8bit(*InputFormat)) {
1081         if (!(*dwFlags & cmsFLAGS_CLUT_PRE_LINEARIZATION)) return FALSE;
1082     }
1083 
1084     OriginalLut = *Lut;
1085 
1086    // Named color pipelines cannot be optimized either
1087    for (mpe = cmsPipelineGetPtrToFirstStage(OriginalLut);
1088          mpe != NULL;
1089          mpe = cmsStageNext(mpe)) {
1090             if (cmsStageType(mpe) == cmsSigNamedColorElemType) return FALSE;
1091     }
1092 
1093     ColorSpace       = _cmsICCcolorSpace(T_COLORSPACE(*InputFormat));
1094     OutputColorSpace = _cmsICCcolorSpace(T_COLORSPACE(*OutputFormat));
1095     nGridPoints      = _cmsReasonableGridpointsByColorspace(ColorSpace, *dwFlags);
1096 
1097     // Empty gamma containers
1098     memset(Trans, 0, sizeof(Trans));
1099     memset(TransReverse, 0, sizeof(TransReverse));
1100 
1101     for (t = 0; t < OriginalLut ->InputChannels; t++) {
1102         Trans[t] = cmsBuildTabulatedToneCurve16(OriginalLut ->ContextID, PRELINEARIZATION_POINTS, NULL);
1103         if (Trans[t] == NULL) goto Error;
1104     }
1105 
1106     // Populate the curves
1107     for (i=0; i < PRELINEARIZATION_POINTS; i++) {
1108 
1109         v = (cmsFloat32Number) ((cmsFloat64Number) i / (PRELINEARIZATION_POINTS - 1));
1110 
1111         // Feed input with a gray ramp
1112         for (t=0; t < OriginalLut ->InputChannels; t++)
1113             In[t] = v;
1114 
1115         // Evaluate the gray value
1116         cmsPipelineEvalFloat(In, Out, OriginalLut);
1117 
1118         // Store result in curve
1119         for (t=0; t < OriginalLut ->InputChannels; t++)
1120             Trans[t] ->Table16[i] = _cmsQuickSaturateWord(Out[t] * 65535.0);
1121     }
1122 
1123     // Slope-limit the obtained curves
1124     for (t = 0; t < OriginalLut ->InputChannels; t++)
1125         SlopeLimiting(Trans[t]);
1126 
1127     // Check for validity
1128     lIsSuitable = TRUE;
1129     lIsLinear   = TRUE;
1130     for (t=0; (lIsSuitable && (t < OriginalLut ->InputChannels)); t++) {
1131 
1132         // Exclude if already linear
1133         if (!cmsIsToneCurveLinear(Trans[t]))
1134             lIsLinear = FALSE;
1135 
1136         // Exclude if non-monotonic
1137         if (!cmsIsToneCurveMonotonic(Trans[t]))
1138             lIsSuitable = FALSE;
1139 
1140         if (IsDegenerated(Trans[t]))
1141             lIsSuitable = FALSE;
1142     }
1143 
1144     // If it is not suitable, just quit
1145     if (!lIsSuitable) goto Error;
1146 
1147     // Invert curves if possible
1148     for (t = 0; t < OriginalLut ->InputChannels; t++) {
1149         TransReverse[t] = cmsReverseToneCurveEx(PRELINEARIZATION_POINTS, Trans[t]);
1150         if (TransReverse[t] == NULL) goto Error;
1151     }
1152 
1153     // Now inset the reversed curves at the begin of transform
1154     LutPlusCurves = cmsPipelineDup(OriginalLut);
1155     if (LutPlusCurves == NULL) goto Error;
1156 
1157     if (!cmsPipelineInsertStage(LutPlusCurves, cmsAT_BEGIN, cmsStageAllocToneCurves(OriginalLut ->ContextID, OriginalLut ->InputChannels, TransReverse)))
1158         goto Error;
1159 
1160     // Create the result LUT
1161     OptimizedLUT = cmsPipelineAlloc(OriginalLut ->ContextID, OriginalLut ->InputChannels, OriginalLut ->OutputChannels);
1162     if (OptimizedLUT == NULL) goto Error;
1163 
1164     OptimizedPrelinMpe = cmsStageAllocToneCurves(OriginalLut ->ContextID, OriginalLut ->InputChannels, Trans);
1165 
1166     // Create and insert the curves at the beginning
1167     if (!cmsPipelineInsertStage(OptimizedLUT, cmsAT_BEGIN, OptimizedPrelinMpe))
1168         goto Error;
1169 
1170     // Allocate the CLUT for result
1171     OptimizedCLUTmpe = cmsStageAllocCLut16bit(OriginalLut ->ContextID, nGridPoints, OriginalLut ->InputChannels, OriginalLut ->OutputChannels, NULL);
1172 
1173     // Add the CLUT to the destination LUT
1174     if (!cmsPipelineInsertStage(OptimizedLUT, cmsAT_END, OptimizedCLUTmpe))
1175         goto Error;
1176 
1177     // Resample the LUT
1178     if (!cmsStageSampleCLut16bit(OptimizedCLUTmpe, XFormSampler16, (void*) LutPlusCurves, 0)) goto Error;
1179 
1180     // Free resources
1181     for (t = 0; t < OriginalLut ->InputChannels; t++) {
1182 
1183         if (Trans[t]) cmsFreeToneCurve(Trans[t]);
1184         if (TransReverse[t]) cmsFreeToneCurve(TransReverse[t]);
1185     }
1186 
1187     cmsPipelineFree(LutPlusCurves);
1188 
1189 
1190     OptimizedPrelinCurves = _cmsStageGetPtrToCurveSet(OptimizedPrelinMpe);
1191     OptimizedPrelinCLUT   = (_cmsStageCLutData*) OptimizedCLUTmpe ->Data;
1192 
1193     // Set the evaluator if 8-bit
1194     if (_cmsFormatterIs8bit(*InputFormat)) {
1195 
1196         Prelin8Data* p8 = PrelinOpt8alloc(OptimizedLUT ->ContextID,
1197                                                 OptimizedPrelinCLUT ->Params,
1198                                                 OptimizedPrelinCurves);
1199         if (p8 == NULL) return FALSE;
1200 
1201         _cmsPipelineSetOptimizationParameters(OptimizedLUT, PrelinEval8, (void*) p8, Prelin8free, Prelin8dup);
1202 
1203     }
1204     else
1205     {
1206         Prelin16Data* p16 = PrelinOpt16alloc(OptimizedLUT ->ContextID,
1207             OptimizedPrelinCLUT ->Params,
1208             3, OptimizedPrelinCurves, 3, NULL);
1209         if (p16 == NULL) return FALSE;
1210 
1211         _cmsPipelineSetOptimizationParameters(OptimizedLUT, PrelinEval16, (void*) p16, PrelinOpt16free, Prelin16dup);
1212 
1213     }
1214 
1215     // Don't fix white on absolute colorimetric
1216     if (Intent == INTENT_ABSOLUTE_COLORIMETRIC)
1217         *dwFlags |= cmsFLAGS_NOWHITEONWHITEFIXUP;
1218 
1219     if (!(*dwFlags & cmsFLAGS_NOWHITEONWHITEFIXUP)) {
1220 
1221         if (!FixWhiteMisalignment(OptimizedLUT, ColorSpace, OutputColorSpace)) {
1222 
1223             return FALSE;
1224         }
1225     }
1226 
1227     // And return the obtained LUT
1228 
1229     cmsPipelineFree(OriginalLut);
1230     *Lut = OptimizedLUT;
1231     return TRUE;
1232 
1233 Error:
1234 
1235     for (t = 0; t < OriginalLut ->InputChannels; t++) {
1236 
1237         if (Trans[t]) cmsFreeToneCurve(Trans[t]);
1238         if (TransReverse[t]) cmsFreeToneCurve(TransReverse[t]);
1239     }
1240 
1241     if (LutPlusCurves != NULL) cmsPipelineFree(LutPlusCurves);
1242     if (OptimizedLUT != NULL) cmsPipelineFree(OptimizedLUT);
1243 
1244     return FALSE;
1245 
1246     cmsUNUSED_PARAMETER(Intent);
1247 }
1248 
1249 
1250 // Curves optimizer ------------------------------------------------------------------------------------------------------------------
1251 
1252 static
1253 void CurvesFree(cmsContext ContextID, void* ptr)
1254 {
1255      Curves16Data* Data = (Curves16Data*) ptr;
1256      int i;
1257 
1258      for (i=0; i < Data -> nCurves; i++) {
1259 
1260          _cmsFree(ContextID, Data ->Curves[i]);
1261      }
1262 
1263      _cmsFree(ContextID, Data ->Curves);
1264      _cmsFree(ContextID, ptr);
1265 }
1266 
1267 static
1268 void* CurvesDup(cmsContext ContextID, const void* ptr)
1269 {
1270     Curves16Data* Data = (Curves16Data*)_cmsDupMem(ContextID, ptr, sizeof(Curves16Data));
1271     int i;
1272 
1273     if (Data == NULL) return NULL;
1274 
1275     Data->Curves = (cmsUInt16Number**) _cmsDupMem(ContextID, Data->Curves, Data->nCurves * sizeof(cmsUInt16Number*));
1276 
1277     for (i=0; i < Data -> nCurves; i++) {
1278         Data->Curves[i] = (cmsUInt16Number*) _cmsDupMem(ContextID, Data->Curves[i], Data->nElements * sizeof(cmsUInt16Number));
1279     }
1280 
1281     return (void*) Data;
1282 }
1283 
1284 // Precomputes tables for 8-bit on input devicelink.
1285 static
1286 Curves16Data* CurvesAlloc(cmsContext ContextID, int nCurves, int nElements, cmsToneCurve** G)
1287 {
1288     int i, j;
1289     Curves16Data* c16;
1290 
1291     c16 = (Curves16Data*)_cmsMallocZero(ContextID, sizeof(Curves16Data));
1292     if (c16 == NULL) return NULL;
1293 
1294     c16 ->nCurves = nCurves;
1295     c16 ->nElements = nElements;
1296 
1297     c16->Curves = (cmsUInt16Number**) _cmsCalloc(ContextID, nCurves, sizeof(cmsUInt16Number*));
1298     if (c16 ->Curves == NULL) return NULL;
1299 
1300     for (i=0; i < nCurves; i++) {
1301 
1302         c16->Curves[i] = (cmsUInt16Number*) _cmsCalloc(ContextID, nElements, sizeof(cmsUInt16Number));
1303 
1304         if (c16->Curves[i] == NULL) {
1305 
1306             for (j=0; j < i; j++) {
1307                 _cmsFree(ContextID, c16->Curves[j]);
1308             }
1309             _cmsFree(ContextID, c16->Curves);
1310             _cmsFree(ContextID, c16);
1311             return NULL;
1312         }
1313 
1314         if (nElements == 256) {
1315 
1316             for (j=0; j < nElements; j++) {
1317 
1318                 c16 ->Curves[i][j] = cmsEvalToneCurve16(G[i], FROM_8_TO_16(j));
1319             }
1320         }
1321         else {
1322 
1323             for (j=0; j < nElements; j++) {
1324                 c16 ->Curves[i][j] = cmsEvalToneCurve16(G[i], (cmsUInt16Number) j);
1325             }
1326         }
1327     }
1328 
1329     return c16;
1330 }
1331 
1332 static
1333 void FastEvaluateCurves8(register const cmsUInt16Number In[],
1334                           register cmsUInt16Number Out[],
1335                           register const void* D)
1336 {
1337     Curves16Data* Data = (Curves16Data*) D;
1338     cmsUInt8Number x;
1339     int i;
1340 
1341     for (i=0; i < Data ->nCurves; i++) {
1342 
1343          x = (In[i] >> 8);
1344          Out[i] = Data -> Curves[i][x];
1345     }
1346 }
1347 
1348 
1349 static
1350 void FastEvaluateCurves16(register const cmsUInt16Number In[],
1351                           register cmsUInt16Number Out[],
1352                           register const void* D)
1353 {
1354     Curves16Data* Data = (Curves16Data*) D;
1355     int i;
1356 
1357     for (i=0; i < Data ->nCurves; i++) {
1358          Out[i] = Data -> Curves[i][In[i]];
1359     }
1360 }
1361 
1362 
1363 static
1364 void FastIdentity16(register const cmsUInt16Number In[],
1365                     register cmsUInt16Number Out[],
1366                     register const void* D)
1367 {
1368     cmsPipeline* Lut = (cmsPipeline*) D;
1369     cmsUInt32Number i;
1370 
1371     for (i=0; i < Lut ->InputChannels; i++) {
1372          Out[i] = In[i];
1373     }
1374 }
1375 
1376 
1377 // If the target LUT holds only curves, the optimization procedure is to join all those
1378 // curves together. That only works on curves and does not work on matrices.
1379 static
1380 cmsBool OptimizeByJoiningCurves(cmsPipeline** Lut, cmsUInt32Number Intent, cmsUInt32Number* InputFormat, cmsUInt32Number* OutputFormat, cmsUInt32Number* dwFlags)
1381 {
1382     cmsToneCurve** GammaTables = NULL;
1383     cmsFloat32Number InFloat[cmsMAXCHANNELS], OutFloat[cmsMAXCHANNELS];
1384     cmsUInt32Number i, j;
1385     cmsPipeline* Src = *Lut;
1386     cmsPipeline* Dest = NULL;
1387     cmsStage* mpe;
1388     cmsStage* ObtainedCurves = NULL;
1389 
1390 
1391     // This is a loosy optimization! does not apply in floating-point cases
1392     if (_cmsFormatterIsFloat(*InputFormat) || _cmsFormatterIsFloat(*OutputFormat)) return FALSE;
1393 
1394     //  Only curves in this LUT?
1395     for (mpe = cmsPipelineGetPtrToFirstStage(Src);
1396          mpe != NULL;
1397          mpe = cmsStageNext(mpe)) {
1398             if (cmsStageType(mpe) != cmsSigCurveSetElemType) return FALSE;
1399     }
1400 
1401     // Allocate an empty LUT
1402     Dest =  cmsPipelineAlloc(Src ->ContextID, Src ->InputChannels, Src ->OutputChannels);
1403     if (Dest == NULL) return FALSE;
1404 
1405     // Create target curves
1406     GammaTables = (cmsToneCurve**) _cmsCalloc(Src ->ContextID, Src ->InputChannels, sizeof(cmsToneCurve*));
1407     if (GammaTables == NULL) goto Error;
1408 
1409     for (i=0; i < Src ->InputChannels; i++) {
1410         GammaTables[i] = cmsBuildTabulatedToneCurve16(Src ->ContextID, PRELINEARIZATION_POINTS, NULL);
1411         if (GammaTables[i] == NULL) goto Error;
1412     }
1413 
1414     // Compute 16 bit result by using floating point
1415     for (i=0; i < PRELINEARIZATION_POINTS; i++) {
1416 
1417         for (j=0; j < Src ->InputChannels; j++)
1418             InFloat[j] = (cmsFloat32Number) ((cmsFloat64Number) i / (PRELINEARIZATION_POINTS - 1));
1419 
1420         cmsPipelineEvalFloat(InFloat, OutFloat, Src);
1421 
1422         for (j=0; j < Src ->InputChannels; j++)
1423             GammaTables[j] -> Table16[i] = _cmsQuickSaturateWord(OutFloat[j] * 65535.0);
1424     }
1425 
1426     ObtainedCurves = cmsStageAllocToneCurves(Src ->ContextID, Src ->InputChannels, GammaTables);
1427     if (ObtainedCurves == NULL) goto Error;
1428 
1429     for (i=0; i < Src ->InputChannels; i++) {
1430         cmsFreeToneCurve(GammaTables[i]);
1431         GammaTables[i] = NULL;
1432     }
1433 
1434     if (GammaTables != NULL) _cmsFree(Src ->ContextID, GammaTables);
1435 
1436     // Maybe the curves are linear at the end
1437     if (!AllCurvesAreLinear(ObtainedCurves)) {
1438 
1439         if (!cmsPipelineInsertStage(Dest, cmsAT_BEGIN, ObtainedCurves))
1440             goto Error;
1441 
1442         // If the curves are to be applied in 8 bits, we can save memory
1443         if (_cmsFormatterIs8bit(*InputFormat)) {
1444 
1445             _cmsStageToneCurvesData* Data = (_cmsStageToneCurvesData*) ObtainedCurves ->Data;
1446              Curves16Data* c16 = CurvesAlloc(Dest ->ContextID, Data ->nCurves, 256, Data ->TheCurves);
1447 
1448              if (c16 == NULL) goto Error;
1449              *dwFlags |= cmsFLAGS_NOCACHE;
1450             _cmsPipelineSetOptimizationParameters(Dest, FastEvaluateCurves8, c16, CurvesFree, CurvesDup);
1451 
1452         }
1453         else {
1454 
1455             _cmsStageToneCurvesData* Data = (_cmsStageToneCurvesData*) cmsStageData(ObtainedCurves);
1456              Curves16Data* c16 = CurvesAlloc(Dest ->ContextID, Data ->nCurves, 65536, Data ->TheCurves);
1457 
1458              if (c16 == NULL) goto Error;
1459              *dwFlags |= cmsFLAGS_NOCACHE;
1460             _cmsPipelineSetOptimizationParameters(Dest, FastEvaluateCurves16, c16, CurvesFree, CurvesDup);
1461         }
1462     }
1463     else {
1464 
1465         // LUT optimizes to nothing. Set the identity LUT
1466         cmsStageFree(ObtainedCurves);
1467 
1468         if (!cmsPipelineInsertStage(Dest, cmsAT_BEGIN, cmsStageAllocIdentity(Dest ->ContextID, Src ->InputChannels)))
1469             goto Error;
1470 
1471         *dwFlags |= cmsFLAGS_NOCACHE;
1472         _cmsPipelineSetOptimizationParameters(Dest, FastIdentity16, (void*) Dest, NULL, NULL);
1473     }
1474 
1475     // We are done.
1476     cmsPipelineFree(Src);
1477     *Lut = Dest;
1478     return TRUE;
1479 
1480 Error:
1481 
1482     if (ObtainedCurves != NULL) cmsStageFree(ObtainedCurves);
1483     if (GammaTables != NULL) {
1484         for (i=0; i < Src ->InputChannels; i++) {
1485             if (GammaTables[i] != NULL) cmsFreeToneCurve(GammaTables[i]);
1486         }
1487 
1488         _cmsFree(Src ->ContextID, GammaTables);
1489     }
1490 
1491     if (Dest != NULL) cmsPipelineFree(Dest);
1492     return FALSE;
1493 
1494     cmsUNUSED_PARAMETER(Intent);
1495     cmsUNUSED_PARAMETER(InputFormat);
1496     cmsUNUSED_PARAMETER(OutputFormat);
1497     cmsUNUSED_PARAMETER(dwFlags);
1498 }
1499 
1500 // -------------------------------------------------------------------------------------------------------------------------------------
1501 // LUT is Shaper - Matrix - Matrix - Shaper, which is very frequent when combining two matrix-shaper profiles
1502 
1503 
1504 static
1505 void  FreeMatShaper(cmsContext ContextID, void* Data)
1506 {
1507     if (Data != NULL) _cmsFree(ContextID, Data);
1508 }
1509 
1510 static
1511 void* DupMatShaper(cmsContext ContextID, const void* Data)
1512 {
1513     return _cmsDupMem(ContextID, Data, sizeof(MatShaper8Data));
1514 }
1515 
1516 
1517 // A fast matrix-shaper evaluator for 8 bits. This is a bit ticky since I'm using 1.14 signed fixed point
1518 // to accomplish some performance. Actually it takes 256x3 16 bits tables and 16385 x 3 tables of 8 bits,
1519 // in total about 50K, and the performance boost is huge!
1520 static
1521 void MatShaperEval16(register const cmsUInt16Number In[],
1522                      register cmsUInt16Number Out[],
1523                      register const void* D)
1524 {
1525     MatShaper8Data* p = (MatShaper8Data*) D;
1526     cmsS1Fixed14Number l1, l2, l3, r, g, b;
1527     cmsUInt32Number ri, gi, bi;
1528 
1529     // In this case (and only in this case!) we can use this simplification since
1530     // In[] is assured to come from a 8 bit number. (a << 8 | a)
1531     ri = In[0] & 0xFF;
1532     gi = In[1] & 0xFF;
1533     bi = In[2] & 0xFF;
1534 
1535     // Across first shaper, which also converts to 1.14 fixed point
1536     r = p->Shaper1R[ri];
1537     g = p->Shaper1G[gi];
1538     b = p->Shaper1B[bi];
1539 
1540     // Evaluate the matrix in 1.14 fixed point
1541     l1 =  (p->Mat[0][0] * r + p->Mat[0][1] * g + p->Mat[0][2] * b + p->Off[0] + 0x2000) >> 14;
1542     l2 =  (p->Mat[1][0] * r + p->Mat[1][1] * g + p->Mat[1][2] * b + p->Off[1] + 0x2000) >> 14;
1543     l3 =  (p->Mat[2][0] * r + p->Mat[2][1] * g + p->Mat[2][2] * b + p->Off[2] + 0x2000) >> 14;
1544 
1545     // Now we have to clip to 0..1.0 range
1546     ri = (l1 < 0) ? 0 : ((l1 > 16384) ? 16384 : l1);
1547     gi = (l2 < 0) ? 0 : ((l2 > 16384) ? 16384 : l2);
1548     bi = (l3 < 0) ? 0 : ((l3 > 16384) ? 16384 : l3);
1549 
1550     // And across second shaper,
1551     Out[0] = p->Shaper2R[ri];
1552     Out[1] = p->Shaper2G[gi];
1553     Out[2] = p->Shaper2B[bi];
1554 
1555 }
1556 
1557 // This table converts from 8 bits to 1.14 after applying the curve
1558 static
1559 void FillFirstShaper(cmsS1Fixed14Number* Table, cmsToneCurve* Curve)
1560 {
1561     int i;
1562     cmsFloat32Number R, y;
1563 
1564     for (i=0; i < 256; i++) {
1565 
1566         R   = (cmsFloat32Number) (i / 255.0);
1567         y   = cmsEvalToneCurveFloat(Curve, R);
1568 
1569         Table[i] = DOUBLE_TO_1FIXED14(y);
1570     }
1571 }
1572 
1573 // This table converts form 1.14 (being 0x4000 the last entry) to 8 bits after applying the curve
1574 static
1575 void FillSecondShaper(cmsUInt16Number* Table, cmsToneCurve* Curve, cmsBool Is8BitsOutput)
1576 {
1577     int i;
1578     cmsFloat32Number R, Val;
1579 
1580     for (i=0; i < 16385; i++) {
1581 
1582         R   = (cmsFloat32Number) (i / 16384.0);
1583         Val = cmsEvalToneCurveFloat(Curve, R);    // Val comes 0..1.0
1584 
1585         if (Is8BitsOutput) {
1586 
1587             // If 8 bits output, we can optimize further by computing the / 257 part.
1588             // first we compute the resulting byte and then we store the byte times
1589             // 257. This quantization allows to round very quick by doing a >> 8, but
1590             // since the low byte is always equal to msb, we can do a & 0xff and this works!
1591             cmsUInt16Number w = _cmsQuickSaturateWord(Val * 65535.0);
1592             cmsUInt8Number  b = FROM_16_TO_8(w);
1593 
1594             Table[i] = FROM_8_TO_16(b);
1595         }
1596         else Table[i]  = _cmsQuickSaturateWord(Val * 65535.0);
1597     }
1598 }
1599 
1600 // Compute the matrix-shaper structure
1601 static
1602 cmsBool SetMatShaper(cmsPipeline* Dest, cmsToneCurve* Curve1[3], cmsMAT3* Mat, cmsVEC3* Off, cmsToneCurve* Curve2[3], cmsUInt32Number* OutputFormat)
1603 {
1604     MatShaper8Data* p;
1605     int i, j;
1606     cmsBool Is8Bits = _cmsFormatterIs8bit(*OutputFormat);
1607 
1608     // Allocate a big chuck of memory to store precomputed tables
1609     p = (MatShaper8Data*) _cmsMalloc(Dest ->ContextID, sizeof(MatShaper8Data));
1610     if (p == NULL) return FALSE;
1611 
1612     p -> ContextID = Dest -> ContextID;
1613 
1614     // Precompute tables
1615     FillFirstShaper(p ->Shaper1R, Curve1[0]);
1616     FillFirstShaper(p ->Shaper1G, Curve1[1]);
1617     FillFirstShaper(p ->Shaper1B, Curve1[2]);
1618 
1619     FillSecondShaper(p ->Shaper2R, Curve2[0], Is8Bits);
1620     FillSecondShaper(p ->Shaper2G, Curve2[1], Is8Bits);
1621     FillSecondShaper(p ->Shaper2B, Curve2[2], Is8Bits);
1622 
1623     // Convert matrix to nFixed14. Note that those values may take more than 16 bits as
1624     for (i=0; i < 3; i++) {
1625         for (j=0; j < 3; j++) {
1626             p ->Mat[i][j] = DOUBLE_TO_1FIXED14(Mat->v[i].n[j]);
1627         }
1628     }
1629 
1630     for (i=0; i < 3; i++) {
1631 
1632         if (Off == NULL) {
1633             p ->Off[i] = 0;
1634         }
1635         else {
1636             p ->Off[i] = DOUBLE_TO_1FIXED14(Off->n[i]);
1637         }
1638     }
1639 
1640     // Mark as optimized for faster formatter
1641     if (Is8Bits)
1642         *OutputFormat |= OPTIMIZED_SH(1);
1643 
1644     // Fill function pointers
1645     _cmsPipelineSetOptimizationParameters(Dest, MatShaperEval16, (void*) p, FreeMatShaper, DupMatShaper);
1646     return TRUE;
1647 }
1648 
1649 //  8 bits on input allows matrix-shaper boot up to 25 Mpixels per second on RGB. That's fast!
1650 static
1651 cmsBool OptimizeMatrixShaper(cmsPipeline** Lut, cmsUInt32Number Intent, cmsUInt32Number* InputFormat, cmsUInt32Number* OutputFormat, cmsUInt32Number* dwFlags)
1652 {
1653        cmsStage* Curve1, *Curve2;
1654        cmsStage* Matrix1, *Matrix2;
1655        cmsMAT3 res;
1656        cmsBool IdentityMat;
1657        cmsPipeline* Dest, *Src;
1658        cmsFloat64Number* Offset;
1659 
1660        // Only works on RGB to RGB
1661        if (T_CHANNELS(*InputFormat) != 3 || T_CHANNELS(*OutputFormat) != 3) return FALSE;
1662 
1663        // Only works on 8 bit input
1664        if (!_cmsFormatterIs8bit(*InputFormat)) return FALSE;
1665 
1666        // Seems suitable, proceed
1667        Src = *Lut;
1668 
1669        // Check for:
1670        //
1671        //    shaper-matrix-matrix-shaper
1672        //    shaper-matrix-shaper
1673        //
1674        // Both of those constructs are possible (first because abs. colorimetric).
1675        // additionally, In the first case, the input matrix offset should be zero.
1676 
1677        IdentityMat = FALSE;
1678        if (cmsPipelineCheckAndRetreiveStages(Src, 4,
1679               cmsSigCurveSetElemType, cmsSigMatrixElemType, cmsSigMatrixElemType, cmsSigCurveSetElemType,
1680               &Curve1, &Matrix1, &Matrix2, &Curve2)) {
1681 
1682               // Get both matrices
1683               _cmsStageMatrixData* Data1 = (_cmsStageMatrixData*)cmsStageData(Matrix1);
1684               _cmsStageMatrixData* Data2 = (_cmsStageMatrixData*)cmsStageData(Matrix2);
1685 
1686               // Input offset should be zero
1687               if (Data1->Offset != NULL) return FALSE;
1688 
1689               // Multiply both matrices to get the result
1690               _cmsMAT3per(&res, (cmsMAT3*)Data2->Double, (cmsMAT3*)Data1->Double);
1691 
1692               // Only 2nd matrix has offset, or it is zero
1693               Offset = Data2->Offset;
1694 
1695               // Now the result is in res + Data2 -> Offset. Maybe is a plain identity?
1696               if (_cmsMAT3isIdentity(&res) && Offset == NULL) {
1697 
1698                      // We can get rid of full matrix
1699                      IdentityMat = TRUE;
1700               }
1701 
1702        }
1703        else {
1704 
1705               if (cmsPipelineCheckAndRetreiveStages(Src, 3,
1706                      cmsSigCurveSetElemType, cmsSigMatrixElemType, cmsSigCurveSetElemType,
1707                      &Curve1, &Matrix1, &Curve2)) {
1708 
1709                      _cmsStageMatrixData* Data = (_cmsStageMatrixData*)cmsStageData(Matrix1);
1710 
1711                      // Copy the matrix to our result
1712                      memcpy(&res, Data->Double, sizeof(res));
1713 
1714                      // Preserve the Odffset (may be NULL as a zero offset)
1715                      Offset = Data->Offset;
1716 
1717                      if (_cmsMAT3isIdentity(&res) && Offset == NULL) {
1718 
1719                             // We can get rid of full matrix
1720                             IdentityMat = TRUE;
1721                      }
1722               }
1723               else
1724                      return FALSE; // Not optimizeable this time
1725 
1726        }
1727 
1728       // Allocate an empty LUT
1729     Dest =  cmsPipelineAlloc(Src ->ContextID, Src ->InputChannels, Src ->OutputChannels);
1730     if (!Dest) return FALSE;
1731 
1732     // Assamble the new LUT
1733     if (!cmsPipelineInsertStage(Dest, cmsAT_BEGIN, cmsStageDup(Curve1)))
1734         goto Error;
1735 
1736     if (!IdentityMat) {
1737 
1738            if (!cmsPipelineInsertStage(Dest, cmsAT_END, cmsStageAllocMatrix(Dest->ContextID, 3, 3, (const cmsFloat64Number*)&res, Offset)))
1739                   goto Error;
1740     }
1741 
1742     if (!cmsPipelineInsertStage(Dest, cmsAT_END, cmsStageDup(Curve2)))
1743         goto Error;
1744 
1745     // If identity on matrix, we can further optimize the curves, so call the join curves routine
1746     if (IdentityMat) {
1747 
1748         OptimizeByJoiningCurves(&Dest, Intent, InputFormat, OutputFormat, dwFlags);
1749     }
1750     else {
1751         _cmsStageToneCurvesData* mpeC1 = (_cmsStageToneCurvesData*) cmsStageData(Curve1);
1752         _cmsStageToneCurvesData* mpeC2 = (_cmsStageToneCurvesData*) cmsStageData(Curve2);
1753 
1754         // In this particular optimization, caché does not help as it takes more time to deal with
1755         // the caché that with the pixel handling
1756         *dwFlags |= cmsFLAGS_NOCACHE;
1757 
1758         // Setup the optimizarion routines
1759         SetMatShaper(Dest, mpeC1 ->TheCurves, &res, (cmsVEC3*) Offset, mpeC2->TheCurves, OutputFormat);
1760     }
1761 
1762     cmsPipelineFree(Src);
1763     *Lut = Dest;
1764     return TRUE;
1765 Error:
1766     // Leave Src unchanged
1767     cmsPipelineFree(Dest);
1768     return FALSE;
1769 }
1770 
1771 
1772 // -------------------------------------------------------------------------------------------------------------------------------------
1773 // Optimization plug-ins
1774 
1775 // List of optimizations
1776 typedef struct _cmsOptimizationCollection_st {
1777 
1778     _cmsOPToptimizeFn  OptimizePtr;
1779 
1780     struct _cmsOptimizationCollection_st *Next;
1781 
1782 } _cmsOptimizationCollection;
1783 
1784 
1785 // The built-in list. We currently implement 4 types of optimizations. Joining of curves, matrix-shaper, linearization and resampling
1786 static _cmsOptimizationCollection DefaultOptimization[] = {
1787 
1788     { OptimizeByJoiningCurves,            &DefaultOptimization[1] },
1789     { OptimizeMatrixShaper,               &DefaultOptimization[2] },
1790     { OptimizeByComputingLinearization,   &DefaultOptimization[3] },
1791     { OptimizeByResampling,               NULL }
1792 };
1793 
1794 // The linked list head
1795 _cmsOptimizationPluginChunkType _cmsOptimizationPluginChunk = { NULL };
1796 
1797 
1798 // Duplicates the zone of memory used by the plug-in in the new context
1799 static
1800 void DupPluginOptimizationList(struct _cmsContext_struct* ctx,
1801                                const struct _cmsContext_struct* src)
1802 {
1803    _cmsOptimizationPluginChunkType newHead = { NULL };
1804    _cmsOptimizationCollection*  entry;
1805    _cmsOptimizationCollection*  Anterior = NULL;
1806    _cmsOptimizationPluginChunkType* head = (_cmsOptimizationPluginChunkType*) src->chunks[OptimizationPlugin];
1807 
1808     _cmsAssert(ctx != NULL);
1809     _cmsAssert(head != NULL);
1810 
1811     // Walk the list copying all nodes
1812    for (entry = head->OptimizationCollection;
1813         entry != NULL;
1814         entry = entry ->Next) {
1815 
1816             _cmsOptimizationCollection *newEntry = ( _cmsOptimizationCollection *) _cmsSubAllocDup(ctx ->MemPool, entry, sizeof(_cmsOptimizationCollection));
1817 
1818             if (newEntry == NULL)
1819                 return;
1820 
1821             // We want to keep the linked list order, so this is a little bit tricky
1822             newEntry -> Next = NULL;
1823             if (Anterior)
1824                 Anterior -> Next = newEntry;
1825 
1826             Anterior = newEntry;
1827 
1828             if (newHead.OptimizationCollection == NULL)
1829                 newHead.OptimizationCollection = newEntry;
1830     }
1831 
1832   ctx ->chunks[OptimizationPlugin] = _cmsSubAllocDup(ctx->MemPool, &newHead, sizeof(_cmsOptimizationPluginChunkType));
1833 }
1834 
1835 void  _cmsAllocOptimizationPluginChunk(struct _cmsContext_struct* ctx,
1836                                          const struct _cmsContext_struct* src)
1837 {
1838   if (src != NULL) {
1839 
1840         // Copy all linked list
1841        DupPluginOptimizationList(ctx, src);
1842     }
1843     else {
1844         static _cmsOptimizationPluginChunkType OptimizationPluginChunkType = { NULL };
1845         ctx ->chunks[OptimizationPlugin] = _cmsSubAllocDup(ctx ->MemPool, &OptimizationPluginChunkType, sizeof(_cmsOptimizationPluginChunkType));
1846     }
1847 }
1848 
1849 
1850 // Register new ways to optimize
1851 cmsBool  _cmsRegisterOptimizationPlugin(cmsContext ContextID, cmsPluginBase* Data)
1852 {
1853     cmsPluginOptimization* Plugin = (cmsPluginOptimization*) Data;
1854     _cmsOptimizationPluginChunkType* ctx = ( _cmsOptimizationPluginChunkType*) _cmsContextGetClientChunk(ContextID, OptimizationPlugin);
1855     _cmsOptimizationCollection* fl;
1856 
1857     if (Data == NULL) {
1858 
1859         ctx->OptimizationCollection = NULL;
1860         return TRUE;
1861     }
1862 
1863     // Optimizer callback is required
1864     if (Plugin ->OptimizePtr == NULL) return FALSE;
1865 
1866     fl = (_cmsOptimizationCollection*) _cmsPluginMalloc(ContextID, sizeof(_cmsOptimizationCollection));
1867     if (fl == NULL) return FALSE;
1868 
1869     // Copy the parameters
1870     fl ->OptimizePtr = Plugin ->OptimizePtr;
1871 
1872     // Keep linked list
1873     fl ->Next = ctx->OptimizationCollection;
1874 
1875     // Set the head
1876     ctx ->OptimizationCollection = fl;
1877 
1878     // All is ok
1879     return TRUE;
1880 }
1881 
1882 // The entry point for LUT optimization
1883 cmsBool _cmsOptimizePipeline(cmsContext ContextID,
1884                              cmsPipeline**    PtrLut,
1885                              int              Intent,
1886                              cmsUInt32Number* InputFormat,
1887                              cmsUInt32Number* OutputFormat,
1888                              cmsUInt32Number* dwFlags)
1889 {
1890     _cmsOptimizationPluginChunkType* ctx = ( _cmsOptimizationPluginChunkType*) _cmsContextGetClientChunk(ContextID, OptimizationPlugin);
1891     _cmsOptimizationCollection* Opts;
1892     cmsBool AnySuccess = FALSE;
1893 
1894     // A CLUT is being asked, so force this specific optimization
1895     if (*dwFlags & cmsFLAGS_FORCE_CLUT) {
1896 
1897         PreOptimize(*PtrLut);
1898         return OptimizeByResampling(PtrLut, Intent, InputFormat, OutputFormat, dwFlags);
1899     }
1900 
1901     // Anything to optimize?
1902     if ((*PtrLut) ->Elements == NULL) {
1903         _cmsPipelineSetOptimizationParameters(*PtrLut, FastIdentity16, (void*) *PtrLut, NULL, NULL);
1904         return TRUE;
1905     }
1906 
1907     // Try to get rid of identities and trivial conversions.
1908     AnySuccess = PreOptimize(*PtrLut);
1909 
1910     // After removal do we end with an identity?
1911     if ((*PtrLut) ->Elements == NULL) {
1912         _cmsPipelineSetOptimizationParameters(*PtrLut, FastIdentity16, (void*) *PtrLut, NULL, NULL);
1913         return TRUE;
1914     }
1915 
1916     // Do not optimize, keep all precision
1917     if (*dwFlags & cmsFLAGS_NOOPTIMIZE)
1918         return FALSE;
1919 
1920     // Try plug-in optimizations
1921     for (Opts = ctx->OptimizationCollection;
1922          Opts != NULL;
1923          Opts = Opts ->Next) {
1924 
1925             // If one schema succeeded, we are done
1926             if (Opts ->OptimizePtr(PtrLut, Intent, InputFormat, OutputFormat, dwFlags)) {
1927 
1928                 return TRUE;    // Optimized!
1929             }
1930     }
1931 
1932    // Try built-in optimizations
1933     for (Opts = DefaultOptimization;
1934          Opts != NULL;
1935          Opts = Opts ->Next) {
1936 
1937             if (Opts ->OptimizePtr(PtrLut, Intent, InputFormat, OutputFormat, dwFlags)) {
1938 
1939                 return TRUE;
1940             }
1941     }
1942 
1943     // Only simple optimizations succeeded
1944     return AnySuccess;
1945 }
1946 
1947 
1948