| //--------------------------------------------------------------------------------- | 
 | // | 
 | //  Little Color Management System | 
 | //  Copyright (c) 1998-2023 Marti Maria Saguer | 
 | // | 
 | // Permission is hereby granted, free of charge, to any person obtaining | 
 | // a copy of this software and associated documentation files (the "Software"), | 
 | // to deal in the Software without restriction, including without limitation | 
 | // the rights to use, copy, modify, merge, publish, distribute, sublicense, | 
 | // and/or sell copies of the Software, and to permit persons to whom the Software | 
 | // is furnished to do so, subject to the following conditions: | 
 | // | 
 | // The above copyright notice and this permission notice shall be included in | 
 | // all copies or substantial portions of the Software. | 
 | // | 
 | // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, | 
 | // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO | 
 | // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND | 
 | // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE | 
 | // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION | 
 | // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION | 
 | // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. | 
 | // | 
 | //--------------------------------------------------------------------------------- | 
 | // | 
 |  | 
 | #include "lcms2_internal.h" | 
 |  | 
 |  | 
 | // Allocates an empty multi profile element | 
 | cmsStage* CMSEXPORT _cmsStageAllocPlaceholder(cmsContext ContextID, | 
 |                                 cmsStageSignature Type, | 
 |                                 cmsUInt32Number InputChannels, | 
 |                                 cmsUInt32Number OutputChannels, | 
 |                                 _cmsStageEvalFn     EvalPtr, | 
 |                                 _cmsStageDupElemFn  DupElemPtr, | 
 |                                 _cmsStageFreeElemFn FreePtr, | 
 |                                 void*             Data) | 
 | { | 
 |     cmsStage* ph = (cmsStage*) _cmsMallocZero(ContextID, sizeof(cmsStage)); | 
 |  | 
 |     if (ph == NULL) return NULL; | 
 |  | 
 |  | 
 |     ph ->ContextID = ContextID; | 
 |  | 
 |     ph ->Type       = Type; | 
 |     ph ->Implements = Type;   // By default, no clue on what is implementing | 
 |  | 
 |     ph ->InputChannels  = InputChannels; | 
 |     ph ->OutputChannels = OutputChannels; | 
 |     ph ->EvalPtr        = EvalPtr; | 
 |     ph ->DupElemPtr     = DupElemPtr; | 
 |     ph ->FreePtr        = FreePtr; | 
 |     ph ->Data           = Data; | 
 |  | 
 |     return ph; | 
 | } | 
 |  | 
 |  | 
 | static | 
 | void EvaluateIdentity(const cmsFloat32Number In[], | 
 |                             cmsFloat32Number Out[], | 
 |                       const cmsStage *mpe) | 
 | { | 
 |     memmove(Out, In, mpe ->InputChannels * sizeof(cmsFloat32Number)); | 
 | } | 
 |  | 
 |  | 
 | cmsStage* CMSEXPORT cmsStageAllocIdentity(cmsContext ContextID, cmsUInt32Number nChannels) | 
 | { | 
 |     return _cmsStageAllocPlaceholder(ContextID, | 
 |                                    cmsSigIdentityElemType, | 
 |                                    nChannels, nChannels, | 
 |                                    EvaluateIdentity, | 
 |                                    NULL, | 
 |                                    NULL, | 
 |                                    NULL); | 
 |  } | 
 |  | 
 | // Conversion functions. From floating point to 16 bits | 
 | static | 
 | void FromFloatTo16(const cmsFloat32Number In[], cmsUInt16Number Out[], cmsUInt32Number n) | 
 | { | 
 |     cmsUInt32Number i; | 
 |  | 
 |     for (i=0; i < n; i++) { | 
 |         Out[i] = _cmsQuickSaturateWord(In[i] * 65535.0); | 
 |     } | 
 | } | 
 |  | 
 | // From 16 bits to floating point | 
 | static | 
 | void From16ToFloat(const cmsUInt16Number In[], cmsFloat32Number Out[], cmsUInt32Number n) | 
 | { | 
 |     cmsUInt32Number i; | 
 |  | 
 |     for (i=0; i < n; i++) { | 
 |         Out[i] = (cmsFloat32Number) In[i] / 65535.0F; | 
 |     } | 
 | } | 
 |  | 
 |  | 
 | // This function is quite useful to analyze the structure of a LUT and retrieve the MPE elements | 
 | // that conform the LUT. It should be called with the LUT, the number of expected elements and | 
 | // then a list of expected types followed with a list of cmsFloat64Number pointers to MPE elements. If | 
 | // the function founds a match with current pipeline, it fills the pointers and returns TRUE | 
 | // if not, returns FALSE without touching anything. Setting pointers to NULL does bypass | 
 | // the storage process. | 
 | cmsBool  CMSEXPORT cmsPipelineCheckAndRetreiveStages(const cmsPipeline* Lut, cmsUInt32Number n, ...) | 
 | { | 
 |     va_list args; | 
 |     cmsUInt32Number i; | 
 |     cmsStage* mpe; | 
 |     cmsStageSignature Type; | 
 |     void** ElemPtr; | 
 |  | 
 |     // Make sure same number of elements | 
 |     if (cmsPipelineStageCount(Lut) != n) return FALSE; | 
 |  | 
 |     va_start(args, n); | 
 |  | 
 |     // Iterate across asked types | 
 |     mpe = Lut ->Elements; | 
 |     for (i=0; i < n; i++) { | 
 |  | 
 |         // Get asked type. cmsStageSignature is promoted to int by compiler | 
 |         Type  = (cmsStageSignature)va_arg(args, int); | 
 |         if (mpe ->Type != Type) { | 
 |  | 
 |             va_end(args);       // Mismatch. We are done. | 
 |             return FALSE; | 
 |         } | 
 |         mpe = mpe ->Next; | 
 |     } | 
 |  | 
 |     // Found a combination, fill pointers if not NULL | 
 |     mpe = Lut ->Elements; | 
 |     for (i=0; i < n; i++) { | 
 |  | 
 |         ElemPtr = va_arg(args, void**); | 
 |         if (ElemPtr != NULL) | 
 |             *ElemPtr = mpe; | 
 |  | 
 |         mpe = mpe ->Next; | 
 |     } | 
 |  | 
 |     va_end(args); | 
 |     return TRUE; | 
 | } | 
 |  | 
 | // Below there are implementations for several types of elements. Each type may be implemented by a | 
 | // evaluation function, a duplication function, a function to free resources and a constructor. | 
 |  | 
 | // ************************************************************************************************* | 
 | // Type cmsSigCurveSetElemType (curves) | 
 | // ************************************************************************************************* | 
 |  | 
 | cmsToneCurve** _cmsStageGetPtrToCurveSet(const cmsStage* mpe) | 
 | { | 
 |     _cmsStageToneCurvesData* Data = (_cmsStageToneCurvesData*) mpe ->Data; | 
 |  | 
 |     return Data ->TheCurves; | 
 | } | 
 |  | 
 | static | 
 | void EvaluateCurves(const cmsFloat32Number In[], | 
 |                     cmsFloat32Number Out[], | 
 |                     const cmsStage *mpe) | 
 | { | 
 |     _cmsStageToneCurvesData* Data; | 
 |     cmsUInt32Number i; | 
 |  | 
 |     _cmsAssert(mpe != NULL); | 
 |  | 
 |     Data = (_cmsStageToneCurvesData*) mpe ->Data; | 
 |     if (Data == NULL) return; | 
 |  | 
 |     if (Data ->TheCurves == NULL) return; | 
 |  | 
 |     for (i=0; i < Data ->nCurves; i++) { | 
 |         Out[i] = cmsEvalToneCurveFloat(Data ->TheCurves[i], In[i]); | 
 |     } | 
 | } | 
 |  | 
 | static | 
 | void CurveSetElemTypeFree(cmsStage* mpe) | 
 | { | 
 |     _cmsStageToneCurvesData* Data; | 
 |     cmsUInt32Number i; | 
 |  | 
 |     _cmsAssert(mpe != NULL); | 
 |  | 
 |     Data = (_cmsStageToneCurvesData*) mpe ->Data; | 
 |     if (Data == NULL) return; | 
 |  | 
 |     if (Data ->TheCurves != NULL) { | 
 |         for (i=0; i < Data ->nCurves; i++) { | 
 |             if (Data ->TheCurves[i] != NULL) | 
 |                 cmsFreeToneCurve(Data ->TheCurves[i]); | 
 |         } | 
 |     } | 
 |     _cmsFree(mpe ->ContextID, Data ->TheCurves); | 
 |     _cmsFree(mpe ->ContextID, Data); | 
 | } | 
 |  | 
 |  | 
 | static | 
 | void* CurveSetDup(cmsStage* mpe) | 
 | { | 
 |     _cmsStageToneCurvesData* Data = (_cmsStageToneCurvesData*) mpe ->Data; | 
 |     _cmsStageToneCurvesData* NewElem; | 
 |     cmsUInt32Number i; | 
 |  | 
 |     NewElem = (_cmsStageToneCurvesData*) _cmsMallocZero(mpe ->ContextID, sizeof(_cmsStageToneCurvesData)); | 
 |     if (NewElem == NULL) return NULL; | 
 |  | 
 |     NewElem ->nCurves   = Data ->nCurves; | 
 |     NewElem ->TheCurves = (cmsToneCurve**) _cmsCalloc(mpe ->ContextID, NewElem ->nCurves, sizeof(cmsToneCurve*)); | 
 |  | 
 |     if (NewElem ->TheCurves == NULL) goto Error; | 
 |  | 
 |     for (i=0; i < NewElem ->nCurves; i++) { | 
 |  | 
 |         // Duplicate each curve. It may fail. | 
 |         NewElem ->TheCurves[i] = cmsDupToneCurve(Data ->TheCurves[i]); | 
 |         if (NewElem ->TheCurves[i] == NULL) goto Error; | 
 |  | 
 |  | 
 |     } | 
 |     return (void*) NewElem; | 
 |  | 
 | Error: | 
 |  | 
 |     if (NewElem ->TheCurves != NULL) { | 
 |         for (i=0; i < NewElem ->nCurves; i++) { | 
 |             if (NewElem ->TheCurves[i]) | 
 |                 cmsFreeToneCurve(NewElem ->TheCurves[i]); | 
 |         } | 
 |     } | 
 |     _cmsFree(mpe ->ContextID, NewElem ->TheCurves); | 
 |     _cmsFree(mpe ->ContextID, NewElem); | 
 |     return NULL; | 
 | } | 
 |  | 
 |  | 
 | // Curves == NULL forces identity curves | 
 | cmsStage* CMSEXPORT cmsStageAllocToneCurves(cmsContext ContextID, cmsUInt32Number nChannels, cmsToneCurve* const Curves[]) | 
 | { | 
 |     cmsUInt32Number i; | 
 |     _cmsStageToneCurvesData* NewElem; | 
 |     cmsStage* NewMPE; | 
 |  | 
 |  | 
 |     NewMPE = _cmsStageAllocPlaceholder(ContextID, cmsSigCurveSetElemType, nChannels, nChannels, | 
 |                                      EvaluateCurves, CurveSetDup, CurveSetElemTypeFree, NULL ); | 
 |     if (NewMPE == NULL) return NULL; | 
 |  | 
 |     NewElem = (_cmsStageToneCurvesData*) _cmsMallocZero(ContextID, sizeof(_cmsStageToneCurvesData)); | 
 |     if (NewElem == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     NewMPE ->Data  = (void*) NewElem; | 
 |  | 
 |     NewElem ->nCurves   = nChannels; | 
 |     NewElem ->TheCurves = (cmsToneCurve**) _cmsCalloc(ContextID, nChannels, sizeof(cmsToneCurve*)); | 
 |     if (NewElem ->TheCurves == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     for (i=0; i < nChannels; i++) { | 
 |  | 
 |         if (Curves == NULL) { | 
 |             NewElem ->TheCurves[i] = cmsBuildGamma(ContextID, 1.0); | 
 |         } | 
 |         else { | 
 |             NewElem ->TheCurves[i] = cmsDupToneCurve(Curves[i]); | 
 |         } | 
 |  | 
 |         if (NewElem ->TheCurves[i] == NULL) { | 
 |             cmsStageFree(NewMPE); | 
 |             return NULL; | 
 |         } | 
 |  | 
 |     } | 
 |  | 
 |    return NewMPE; | 
 | } | 
 |  | 
 |  | 
 | // Create a bunch of identity curves | 
 | cmsStage* CMSEXPORT _cmsStageAllocIdentityCurves(cmsContext ContextID, cmsUInt32Number nChannels) | 
 | { | 
 |     cmsStage* mpe = cmsStageAllocToneCurves(ContextID, nChannels, NULL); | 
 |  | 
 |     if (mpe == NULL) return NULL; | 
 |     mpe ->Implements = cmsSigIdentityElemType; | 
 |     return mpe; | 
 | } | 
 |  | 
 |  | 
 | // ************************************************************************************************* | 
 | // Type cmsSigMatrixElemType (Matrices) | 
 | // ************************************************************************************************* | 
 |  | 
 |  | 
 | // Special care should be taken here because precision loss. A temporary cmsFloat64Number buffer is being used | 
 | static | 
 | void EvaluateMatrix(const cmsFloat32Number In[], | 
 |                     cmsFloat32Number Out[], | 
 |                     const cmsStage *mpe) | 
 | { | 
 |     cmsUInt32Number i, j; | 
 |     _cmsStageMatrixData* Data = (_cmsStageMatrixData*) mpe ->Data; | 
 |     cmsFloat64Number Tmp; | 
 |  | 
 |     // Input is already in 0..1.0 notation | 
 |     for (i=0; i < mpe ->OutputChannels; i++) { | 
 |  | 
 |         Tmp = 0; | 
 |         for (j=0; j < mpe->InputChannels; j++) { | 
 |             Tmp += In[j] * Data->Double[i*mpe->InputChannels + j]; | 
 |         } | 
 |  | 
 |         if (Data ->Offset != NULL) | 
 |             Tmp += Data->Offset[i]; | 
 |  | 
 |         Out[i] = (cmsFloat32Number) Tmp; | 
 |     } | 
 |  | 
 |  | 
 |     // Output in 0..1.0 domain | 
 | } | 
 |  | 
 |  | 
 | // Duplicate a yet-existing matrix element | 
 | static | 
 | void* MatrixElemDup(cmsStage* mpe) | 
 | { | 
 |     _cmsStageMatrixData* Data = (_cmsStageMatrixData*) mpe ->Data; | 
 |     _cmsStageMatrixData* NewElem; | 
 |     cmsUInt32Number sz; | 
 |  | 
 |     NewElem = (_cmsStageMatrixData*) _cmsMallocZero(mpe ->ContextID, sizeof(_cmsStageMatrixData)); | 
 |     if (NewElem == NULL) return NULL; | 
 |  | 
 |     sz = mpe ->InputChannels * mpe ->OutputChannels; | 
 |  | 
 |     NewElem ->Double = (cmsFloat64Number*) _cmsDupMem(mpe ->ContextID, Data ->Double, sz * sizeof(cmsFloat64Number)) ; | 
 |  | 
 |     if (Data ->Offset) | 
 |         NewElem ->Offset = (cmsFloat64Number*) _cmsDupMem(mpe ->ContextID, | 
 |                                                 Data ->Offset, mpe -> OutputChannels * sizeof(cmsFloat64Number)) ; | 
 |  | 
 |     return (void*) NewElem; | 
 | } | 
 |  | 
 |  | 
 | static | 
 | void MatrixElemTypeFree(cmsStage* mpe) | 
 | { | 
 |     _cmsStageMatrixData* Data = (_cmsStageMatrixData*) mpe ->Data; | 
 |     if (Data == NULL) | 
 |         return; | 
 |     if (Data ->Double) | 
 |         _cmsFree(mpe ->ContextID, Data ->Double); | 
 |  | 
 |     if (Data ->Offset) | 
 |         _cmsFree(mpe ->ContextID, Data ->Offset); | 
 |  | 
 |     _cmsFree(mpe ->ContextID, mpe ->Data); | 
 | } | 
 |  | 
 |  | 
 |  | 
 | cmsStage*  CMSEXPORT cmsStageAllocMatrix(cmsContext ContextID, cmsUInt32Number Rows, cmsUInt32Number Cols, | 
 |                                      const cmsFloat64Number* Matrix, const cmsFloat64Number* Offset) | 
 | { | 
 |     cmsUInt32Number i, n; | 
 |     _cmsStageMatrixData* NewElem; | 
 |     cmsStage* NewMPE; | 
 |  | 
 |     n = Rows * Cols; | 
 |  | 
 |     // Check for overflow | 
 |     if (n == 0) return NULL; | 
 |     if (n >= UINT_MAX / Cols) return NULL; | 
 |     if (n >= UINT_MAX / Rows) return NULL; | 
 |     if (n < Rows || n < Cols) return NULL; | 
 |  | 
 |     NewMPE = _cmsStageAllocPlaceholder(ContextID, cmsSigMatrixElemType, Cols, Rows, | 
 |                                      EvaluateMatrix, MatrixElemDup, MatrixElemTypeFree, NULL ); | 
 |     if (NewMPE == NULL) return NULL; | 
 |  | 
 |  | 
 |     NewElem = (_cmsStageMatrixData*) _cmsMallocZero(ContextID, sizeof(_cmsStageMatrixData)); | 
 |     if (NewElem == NULL) goto Error; | 
 |     NewMPE->Data = (void*)NewElem; | 
 |  | 
 |     NewElem ->Double = (cmsFloat64Number*) _cmsCalloc(ContextID, n, sizeof(cmsFloat64Number)); | 
 |     if (NewElem->Double == NULL) goto Error; | 
 |     | 
 |     for (i=0; i < n; i++) { | 
 |         NewElem ->Double[i] = Matrix[i]; | 
 |     } | 
 |  | 
 |     if (Offset != NULL) { | 
 |  | 
 |         NewElem ->Offset = (cmsFloat64Number*) _cmsCalloc(ContextID, Rows, sizeof(cmsFloat64Number)); | 
 |         if (NewElem->Offset == NULL) goto Error; | 
 |             | 
 |         for (i=0; i < Rows; i++) { | 
 |                 NewElem ->Offset[i] = Offset[i]; | 
 |         } | 
 |     } | 
 |      | 
 |     return NewMPE; | 
 |  | 
 | Error: | 
 |     cmsStageFree(NewMPE); | 
 |     return NULL; | 
 | } | 
 |  | 
 |  | 
 | // ************************************************************************************************* | 
 | // Type cmsSigCLutElemType | 
 | // ************************************************************************************************* | 
 |  | 
 |  | 
 | // Evaluate in true floating point | 
 | static | 
 | void EvaluateCLUTfloat(const cmsFloat32Number In[], cmsFloat32Number Out[], const cmsStage *mpe) | 
 | { | 
 |     _cmsStageCLutData* Data = (_cmsStageCLutData*) mpe ->Data; | 
 |  | 
 |     Data -> Params ->Interpolation.LerpFloat(In, Out, Data->Params); | 
 | } | 
 |  | 
 |  | 
 | // Convert to 16 bits, evaluate, and back to floating point | 
 | static | 
 | void EvaluateCLUTfloatIn16(const cmsFloat32Number In[], cmsFloat32Number Out[], const cmsStage *mpe) | 
 | { | 
 |     _cmsStageCLutData* Data = (_cmsStageCLutData*) mpe ->Data; | 
 |     cmsUInt16Number In16[MAX_STAGE_CHANNELS], Out16[MAX_STAGE_CHANNELS]; | 
 |  | 
 |     _cmsAssert(mpe ->InputChannels  <= MAX_STAGE_CHANNELS); | 
 |     _cmsAssert(mpe ->OutputChannels <= MAX_STAGE_CHANNELS); | 
 |  | 
 |     FromFloatTo16(In, In16, mpe ->InputChannels); | 
 |     Data -> Params ->Interpolation.Lerp16(In16, Out16, Data->Params); | 
 |     From16ToFloat(Out16, Out,  mpe ->OutputChannels); | 
 | } | 
 |  | 
 |  | 
 | // Given an hypercube of b dimensions, with Dims[] number of nodes by dimension, calculate the total amount of nodes | 
 | static | 
 | cmsUInt32Number CubeSize(const cmsUInt32Number Dims[], cmsUInt32Number b) | 
 | { | 
 |     cmsUInt32Number rv, dim; | 
 |  | 
 |     _cmsAssert(Dims != NULL); | 
 |  | 
 |     for (rv = 1; b > 0; b--) { | 
 |  | 
 |         dim = Dims[b-1]; | 
 |         if (dim <= 1) return 0;  // Error | 
 |  | 
 |         rv *= dim; | 
 |  | 
 |         // Check for overflow | 
 |         if (rv > UINT_MAX / dim) return 0; | 
 |     } | 
 |  | 
 |     return rv; | 
 | } | 
 |  | 
 | static | 
 | void* CLUTElemDup(cmsStage* mpe) | 
 | { | 
 |     _cmsStageCLutData* Data = (_cmsStageCLutData*) mpe ->Data; | 
 |     _cmsStageCLutData* NewElem; | 
 |  | 
 |  | 
 |     NewElem = (_cmsStageCLutData*) _cmsMallocZero(mpe ->ContextID, sizeof(_cmsStageCLutData)); | 
 |     if (NewElem == NULL) return NULL; | 
 |  | 
 |     NewElem ->nEntries       = Data ->nEntries; | 
 |     NewElem ->HasFloatValues = Data ->HasFloatValues; | 
 |  | 
 |     if (Data ->Tab.T) { | 
 |  | 
 |         if (Data ->HasFloatValues) { | 
 |             NewElem ->Tab.TFloat = (cmsFloat32Number*) _cmsDupMem(mpe ->ContextID, Data ->Tab.TFloat, Data ->nEntries * sizeof (cmsFloat32Number)); | 
 |             if (NewElem ->Tab.TFloat == NULL) | 
 |                 goto Error; | 
 |         } else { | 
 |             NewElem ->Tab.T = (cmsUInt16Number*) _cmsDupMem(mpe ->ContextID, Data ->Tab.T, Data ->nEntries * sizeof (cmsUInt16Number)); | 
 |             if (NewElem ->Tab.T == NULL) | 
 |                 goto Error; | 
 |         } | 
 |     } | 
 |  | 
 |     NewElem ->Params   = _cmsComputeInterpParamsEx(mpe ->ContextID, | 
 |                                                    Data ->Params ->nSamples, | 
 |                                                    Data ->Params ->nInputs, | 
 |                                                    Data ->Params ->nOutputs, | 
 |                                                    NewElem ->Tab.T, | 
 |                                                    Data ->Params ->dwFlags); | 
 |     if (NewElem->Params != NULL) | 
 |         return (void*) NewElem; | 
 |  Error: | 
 |     if (NewElem->Tab.T) | 
 |         // This works for both types | 
 |         _cmsFree(mpe ->ContextID, NewElem -> Tab.T); | 
 |     _cmsFree(mpe ->ContextID, NewElem); | 
 |     return NULL; | 
 | } | 
 |  | 
 |  | 
 | static | 
 | void CLutElemTypeFree(cmsStage* mpe) | 
 | { | 
 |  | 
 |     _cmsStageCLutData* Data = (_cmsStageCLutData*) mpe ->Data; | 
 |  | 
 |     // Already empty | 
 |     if (Data == NULL) return; | 
 |  | 
 |     // This works for both types | 
 |     if (Data -> Tab.T) | 
 |         _cmsFree(mpe ->ContextID, Data -> Tab.T); | 
 |  | 
 |     _cmsFreeInterpParams(Data ->Params); | 
 |     _cmsFree(mpe ->ContextID, mpe ->Data); | 
 | } | 
 |  | 
 |  | 
 | // Allocates a 16-bit multidimensional CLUT. This is evaluated at 16-bit precision. Table may have different | 
 | // granularity on each dimension. | 
 | cmsStage* CMSEXPORT cmsStageAllocCLut16bitGranular(cmsContext ContextID, | 
 |                                          const cmsUInt32Number clutPoints[], | 
 |                                          cmsUInt32Number inputChan, | 
 |                                          cmsUInt32Number outputChan, | 
 |                                          const cmsUInt16Number* Table) | 
 | { | 
 |     cmsUInt32Number i, n; | 
 |     _cmsStageCLutData* NewElem; | 
 |     cmsStage* NewMPE; | 
 |  | 
 |     _cmsAssert(clutPoints != NULL); | 
 |  | 
 |     if (inputChan > MAX_INPUT_DIMENSIONS) { | 
 |         cmsSignalError(ContextID, cmsERROR_RANGE, "Too many input channels (%d channels, max=%d)", inputChan, MAX_INPUT_DIMENSIONS); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     NewMPE = _cmsStageAllocPlaceholder(ContextID, cmsSigCLutElemType, inputChan, outputChan, | 
 |                                      EvaluateCLUTfloatIn16, CLUTElemDup, CLutElemTypeFree, NULL ); | 
 |  | 
 |     if (NewMPE == NULL) return NULL; | 
 |  | 
 |     NewElem = (_cmsStageCLutData*) _cmsMallocZero(ContextID, sizeof(_cmsStageCLutData)); | 
 |     if (NewElem == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     NewMPE ->Data  = (void*) NewElem; | 
 |  | 
 |     NewElem -> nEntries = n = outputChan * CubeSize(clutPoints, inputChan); | 
 |     NewElem -> HasFloatValues = FALSE; | 
 |  | 
 |     if (n == 0) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |  | 
 |     NewElem ->Tab.T  = (cmsUInt16Number*) _cmsCalloc(ContextID, n, sizeof(cmsUInt16Number)); | 
 |     if (NewElem ->Tab.T == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     if (Table != NULL) { | 
 |         for (i=0; i < n; i++) { | 
 |             NewElem ->Tab.T[i] = Table[i]; | 
 |         } | 
 |     } | 
 |  | 
 |     NewElem ->Params = _cmsComputeInterpParamsEx(ContextID, clutPoints, inputChan, outputChan, NewElem ->Tab.T, CMS_LERP_FLAGS_16BITS); | 
 |     if (NewElem ->Params == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     return NewMPE; | 
 | } | 
 |  | 
 | cmsStage* CMSEXPORT cmsStageAllocCLut16bit(cmsContext ContextID, | 
 |                                     cmsUInt32Number nGridPoints, | 
 |                                     cmsUInt32Number inputChan, | 
 |                                     cmsUInt32Number outputChan, | 
 |                                     const cmsUInt16Number* Table) | 
 | { | 
 |     cmsUInt32Number Dimensions[MAX_INPUT_DIMENSIONS]; | 
 |     int i; | 
 |  | 
 |    // Our resulting LUT would be same gridpoints on all dimensions | 
 |     for (i=0; i < MAX_INPUT_DIMENSIONS; i++) | 
 |         Dimensions[i] = nGridPoints; | 
 |  | 
 |     return cmsStageAllocCLut16bitGranular(ContextID, Dimensions, inputChan, outputChan, Table); | 
 | } | 
 |  | 
 |  | 
 | cmsStage* CMSEXPORT cmsStageAllocCLutFloat(cmsContext ContextID, | 
 |                                        cmsUInt32Number nGridPoints, | 
 |                                        cmsUInt32Number inputChan, | 
 |                                        cmsUInt32Number outputChan, | 
 |                                        const cmsFloat32Number* Table) | 
 | { | 
 |    cmsUInt32Number Dimensions[MAX_INPUT_DIMENSIONS]; | 
 |    int i; | 
 |  | 
 |     // Our resulting LUT would be same gridpoints on all dimensions | 
 |     for (i=0; i < MAX_INPUT_DIMENSIONS; i++) | 
 |         Dimensions[i] = nGridPoints; | 
 |  | 
 |     return cmsStageAllocCLutFloatGranular(ContextID, Dimensions, inputChan, outputChan, Table); | 
 | } | 
 |  | 
 |  | 
 |  | 
 | cmsStage* CMSEXPORT cmsStageAllocCLutFloatGranular(cmsContext ContextID, const cmsUInt32Number clutPoints[], cmsUInt32Number inputChan, cmsUInt32Number outputChan, const cmsFloat32Number* Table) | 
 | { | 
 |     cmsUInt32Number i, n; | 
 |     _cmsStageCLutData* NewElem; | 
 |     cmsStage* NewMPE; | 
 |  | 
 |     _cmsAssert(clutPoints != NULL); | 
 |  | 
 |     if (inputChan > MAX_INPUT_DIMENSIONS) { | 
 |         cmsSignalError(ContextID, cmsERROR_RANGE, "Too many input channels (%d channels, max=%d)", inputChan, MAX_INPUT_DIMENSIONS); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     NewMPE = _cmsStageAllocPlaceholder(ContextID, cmsSigCLutElemType, inputChan, outputChan, | 
 |                                              EvaluateCLUTfloat, CLUTElemDup, CLutElemTypeFree, NULL); | 
 |     if (NewMPE == NULL) return NULL; | 
 |  | 
 |  | 
 |     NewElem = (_cmsStageCLutData*) _cmsMallocZero(ContextID, sizeof(_cmsStageCLutData)); | 
 |     if (NewElem == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     NewMPE ->Data  = (void*) NewElem; | 
 |  | 
 |     // There is a potential integer overflow on conputing n and nEntries. | 
 |     NewElem -> nEntries = n = outputChan * CubeSize(clutPoints, inputChan); | 
 |     NewElem -> HasFloatValues = TRUE; | 
 |  | 
 |     if (n == 0) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     NewElem ->Tab.TFloat  = (cmsFloat32Number*) _cmsCalloc(ContextID, n, sizeof(cmsFloat32Number)); | 
 |     if (NewElem ->Tab.TFloat == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     if (Table != NULL) { | 
 |         for (i=0; i < n; i++) { | 
 |             NewElem ->Tab.TFloat[i] = Table[i]; | 
 |         } | 
 |     } | 
 |  | 
 |     NewElem ->Params = _cmsComputeInterpParamsEx(ContextID, clutPoints,  inputChan, outputChan, NewElem ->Tab.TFloat, CMS_LERP_FLAGS_FLOAT); | 
 |     if (NewElem ->Params == NULL) { | 
 |         cmsStageFree(NewMPE); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     return NewMPE; | 
 | } | 
 |  | 
 |  | 
 | static | 
 | int IdentitySampler(CMSREGISTER const cmsUInt16Number In[], CMSREGISTER cmsUInt16Number Out[], CMSREGISTER void * Cargo) | 
 | { | 
 |     int nChan = *(int*) Cargo; | 
 |     int i; | 
 |  | 
 |     for (i=0; i < nChan; i++) | 
 |         Out[i] = In[i]; | 
 |  | 
 |     return 1; | 
 | } | 
 |  | 
 | // Creates an MPE that just copies input to output | 
 | cmsStage* CMSEXPORT _cmsStageAllocIdentityCLut(cmsContext ContextID, cmsUInt32Number nChan) | 
 | { | 
 |     cmsUInt32Number Dimensions[MAX_INPUT_DIMENSIONS]; | 
 |     cmsStage* mpe ; | 
 |     int i; | 
 |  | 
 |     for (i=0; i < MAX_INPUT_DIMENSIONS; i++) | 
 |         Dimensions[i] = 2; | 
 |  | 
 |     mpe = cmsStageAllocCLut16bitGranular(ContextID, Dimensions, nChan, nChan, NULL); | 
 |     if (mpe == NULL) return NULL; | 
 |  | 
 |     if (!cmsStageSampleCLut16bit(mpe, IdentitySampler, &nChan, 0)) { | 
 |         cmsStageFree(mpe); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     mpe ->Implements = cmsSigIdentityElemType; | 
 |     return mpe; | 
 | } | 
 |  | 
 |  | 
 |  | 
 | // Quantize a value 0 <= i < MaxSamples to 0..0xffff | 
 | cmsUInt16Number CMSEXPORT _cmsQuantizeVal(cmsFloat64Number i, cmsUInt32Number MaxSamples) | 
 | { | 
 |     cmsFloat64Number x; | 
 |  | 
 |     x = ((cmsFloat64Number) i * 65535.) / (cmsFloat64Number) (MaxSamples - 1); | 
 |     return _cmsQuickSaturateWord(x); | 
 | } | 
 |  | 
 |  | 
 | // This routine does a sweep on whole input space, and calls its callback | 
 | // function on knots. returns TRUE if all ok, FALSE otherwise. | 
 | cmsBool CMSEXPORT cmsStageSampleCLut16bit(cmsStage* mpe, cmsSAMPLER16 Sampler, void * Cargo, cmsUInt32Number dwFlags) | 
 | { | 
 |     int i, t, index, rest; | 
 |     cmsUInt32Number nTotalPoints; | 
 |     cmsUInt32Number nInputs, nOutputs; | 
 |     cmsUInt32Number* nSamples; | 
 |     cmsUInt16Number In[MAX_INPUT_DIMENSIONS+1], Out[MAX_STAGE_CHANNELS]; | 
 |     _cmsStageCLutData* clut; | 
 |  | 
 |     if (mpe == NULL) return FALSE; | 
 |  | 
 |     clut = (_cmsStageCLutData*) mpe->Data; | 
 |  | 
 |     if (clut == NULL) return FALSE; | 
 |  | 
 |     nSamples = clut->Params ->nSamples; | 
 |     nInputs  = clut->Params ->nInputs; | 
 |     nOutputs = clut->Params ->nOutputs; | 
 |  | 
 |     if (nInputs <= 0) return FALSE; | 
 |     if (nOutputs <= 0) return FALSE; | 
 |     if (nInputs > MAX_INPUT_DIMENSIONS) return FALSE; | 
 |     if (nOutputs >= MAX_STAGE_CHANNELS) return FALSE; | 
 |  | 
 |     memset(In, 0, sizeof(In)); | 
 |     memset(Out, 0, sizeof(Out)); | 
 |  | 
 |     nTotalPoints = CubeSize(nSamples, nInputs); | 
 |     if (nTotalPoints == 0) return FALSE; | 
 |  | 
 |     index = 0; | 
 |     for (i = 0; i < (int) nTotalPoints; i++) { | 
 |  | 
 |         rest = i; | 
 |         for (t = (int)nInputs - 1; t >= 0; --t) { | 
 |  | 
 |             cmsUInt32Number  Colorant = rest % nSamples[t]; | 
 |  | 
 |             rest /= nSamples[t]; | 
 |  | 
 |             In[t] = _cmsQuantizeVal(Colorant, nSamples[t]); | 
 |         } | 
 |  | 
 |         if (clut ->Tab.T != NULL) { | 
 |             for (t = 0; t < (int)nOutputs; t++) | 
 |                 Out[t] = clut->Tab.T[index + t]; | 
 |         } | 
 |  | 
 |         if (!Sampler(In, Out, Cargo)) | 
 |             return FALSE; | 
 |  | 
 |         if (!(dwFlags & SAMPLER_INSPECT)) { | 
 |  | 
 |             if (clut ->Tab.T != NULL) { | 
 |                 for (t=0; t < (int) nOutputs; t++) | 
 |                     clut->Tab.T[index + t] = Out[t]; | 
 |             } | 
 |         } | 
 |  | 
 |         index += nOutputs; | 
 |     } | 
 |  | 
 |     return TRUE; | 
 | } | 
 |  | 
 | // Same as anterior, but for floating point | 
 | cmsBool CMSEXPORT cmsStageSampleCLutFloat(cmsStage* mpe, cmsSAMPLERFLOAT Sampler, void * Cargo, cmsUInt32Number dwFlags) | 
 | { | 
 |     int i, t, index, rest; | 
 |     cmsUInt32Number nTotalPoints; | 
 |     cmsUInt32Number nInputs, nOutputs; | 
 |     cmsUInt32Number* nSamples; | 
 |     cmsFloat32Number In[MAX_INPUT_DIMENSIONS+1], Out[MAX_STAGE_CHANNELS]; | 
 |     _cmsStageCLutData* clut = (_cmsStageCLutData*) mpe->Data; | 
 |  | 
 |     nSamples = clut->Params ->nSamples; | 
 |     nInputs  = clut->Params ->nInputs; | 
 |     nOutputs = clut->Params ->nOutputs; | 
 |  | 
 |     if (nInputs <= 0) return FALSE; | 
 |     if (nOutputs <= 0) return FALSE; | 
 |     if (nInputs  > MAX_INPUT_DIMENSIONS) return FALSE; | 
 |     if (nOutputs >= MAX_STAGE_CHANNELS) return FALSE; | 
 |  | 
 |     nTotalPoints = CubeSize(nSamples, nInputs); | 
 |     if (nTotalPoints == 0) return FALSE; | 
 |  | 
 |     index = 0; | 
 |     for (i = 0; i < (int)nTotalPoints; i++) { | 
 |  | 
 |         rest = i; | 
 |         for (t = (int) nInputs-1; t >=0; --t) { | 
 |  | 
 |             cmsUInt32Number  Colorant = rest % nSamples[t]; | 
 |  | 
 |             rest /= nSamples[t]; | 
 |  | 
 |             In[t] =  (cmsFloat32Number) (_cmsQuantizeVal(Colorant, nSamples[t]) / 65535.0); | 
 |         } | 
 |  | 
 |         if (clut ->Tab.TFloat != NULL) { | 
 |             for (t=0; t < (int) nOutputs; t++) | 
 |                 Out[t] = clut->Tab.TFloat[index + t]; | 
 |         } | 
 |  | 
 |         if (!Sampler(In, Out, Cargo)) | 
 |             return FALSE; | 
 |  | 
 |         if (!(dwFlags & SAMPLER_INSPECT)) { | 
 |  | 
 |             if (clut ->Tab.TFloat != NULL) { | 
 |                 for (t=0; t < (int) nOutputs; t++) | 
 |                     clut->Tab.TFloat[index + t] = Out[t]; | 
 |             } | 
 |         } | 
 |  | 
 |         index += nOutputs; | 
 |     } | 
 |  | 
 |     return TRUE; | 
 | } | 
 |  | 
 |  | 
 |  | 
 | // This routine does a sweep on whole input space, and calls its callback | 
 | // function on knots. returns TRUE if all ok, FALSE otherwise. | 
 | cmsBool CMSEXPORT cmsSliceSpace16(cmsUInt32Number nInputs, const cmsUInt32Number clutPoints[], | 
 |                                          cmsSAMPLER16 Sampler, void * Cargo) | 
 | { | 
 |     int i, t, rest; | 
 |     cmsUInt32Number nTotalPoints; | 
 |     cmsUInt16Number In[cmsMAXCHANNELS]; | 
 |  | 
 |     if (nInputs >= cmsMAXCHANNELS) return FALSE; | 
 |  | 
 |     nTotalPoints = CubeSize(clutPoints, nInputs); | 
 |     if (nTotalPoints == 0) return FALSE; | 
 |  | 
 |     for (i = 0; i < (int) nTotalPoints; i++) { | 
 |  | 
 |         rest = i; | 
 |         for (t = (int) nInputs-1; t >=0; --t) { | 
 |  | 
 |             cmsUInt32Number  Colorant = rest % clutPoints[t]; | 
 |  | 
 |             rest /= clutPoints[t]; | 
 |             In[t] = _cmsQuantizeVal(Colorant, clutPoints[t]); | 
 |  | 
 |         } | 
 |  | 
 |         if (!Sampler(In, NULL, Cargo)) | 
 |             return FALSE; | 
 |     } | 
 |  | 
 |     return TRUE; | 
 | } | 
 |  | 
 | cmsInt32Number CMSEXPORT cmsSliceSpaceFloat(cmsUInt32Number nInputs, const cmsUInt32Number clutPoints[], | 
 |                                             cmsSAMPLERFLOAT Sampler, void * Cargo) | 
 | { | 
 |     int i, t, rest; | 
 |     cmsUInt32Number nTotalPoints; | 
 |     cmsFloat32Number In[cmsMAXCHANNELS]; | 
 |  | 
 |     if (nInputs >= cmsMAXCHANNELS) return FALSE; | 
 |  | 
 |     nTotalPoints = CubeSize(clutPoints, nInputs); | 
 |     if (nTotalPoints == 0) return FALSE; | 
 |  | 
 |     for (i = 0; i < (int) nTotalPoints; i++) { | 
 |  | 
 |         rest = i; | 
 |         for (t = (int) nInputs-1; t >=0; --t) { | 
 |  | 
 |             cmsUInt32Number  Colorant = rest % clutPoints[t]; | 
 |  | 
 |             rest /= clutPoints[t]; | 
 |             In[t] =  (cmsFloat32Number) (_cmsQuantizeVal(Colorant, clutPoints[t]) / 65535.0); | 
 |  | 
 |         } | 
 |  | 
 |         if (!Sampler(In, NULL, Cargo)) | 
 |             return FALSE; | 
 |     } | 
 |  | 
 |     return TRUE; | 
 | } | 
 |  | 
 | // ******************************************************************************** | 
 | // Type cmsSigLab2XYZElemType | 
 | // ******************************************************************************** | 
 |  | 
 |  | 
 | static | 
 | void EvaluateLab2XYZ(const cmsFloat32Number In[], | 
 |                      cmsFloat32Number Out[], | 
 |                      const cmsStage *mpe) | 
 | { | 
 |     cmsCIELab Lab; | 
 |     cmsCIEXYZ XYZ; | 
 |     const cmsFloat64Number XYZadj = MAX_ENCODEABLE_XYZ; | 
 |  | 
 |     // V4 rules | 
 |     Lab.L = In[0] * 100.0; | 
 |     Lab.a = In[1] * 255.0 - 128.0; | 
 |     Lab.b = In[2] * 255.0 - 128.0; | 
 |  | 
 |     cmsLab2XYZ(NULL, &XYZ, &Lab); | 
 |  | 
 |     // From XYZ, range 0..19997 to 0..1.0, note that 1.99997 comes from 0xffff | 
 |     // encoded as 1.15 fixed point, so 1 + (32767.0 / 32768.0) | 
 |  | 
 |     Out[0] = (cmsFloat32Number) ((cmsFloat64Number) XYZ.X / XYZadj); | 
 |     Out[1] = (cmsFloat32Number) ((cmsFloat64Number) XYZ.Y / XYZadj); | 
 |     Out[2] = (cmsFloat32Number) ((cmsFloat64Number) XYZ.Z / XYZadj); | 
 |     return; | 
 |  | 
 |     cmsUNUSED_PARAMETER(mpe); | 
 | } | 
 |  | 
 |  | 
 | // No dup or free routines needed, as the structure has no pointers in it. | 
 | cmsStage* CMSEXPORT _cmsStageAllocLab2XYZ(cmsContext ContextID) | 
 | { | 
 |     return _cmsStageAllocPlaceholder(ContextID, cmsSigLab2XYZElemType, 3, 3, EvaluateLab2XYZ, NULL, NULL, NULL); | 
 | } | 
 |  | 
 | // ******************************************************************************** | 
 |  | 
 | // v2 L=100 is supposed to be placed on 0xFF00. There is no reasonable | 
 | // number of gridpoints that would make exact match. However, a prelinearization | 
 | // of 258 entries, would map 0xFF00 exactly on entry 257, and this is good to avoid scum dot. | 
 | // Almost all what we need but unfortunately, the rest of entries should be scaled by | 
 | // (255*257/256) and this is not exact. | 
 |  | 
 | cmsStage* _cmsStageAllocLabV2ToV4curves(cmsContext ContextID) | 
 | { | 
 |     cmsStage* mpe; | 
 |     cmsToneCurve* LabTable[3]; | 
 |     int i, j; | 
 |  | 
 |     LabTable[0] = cmsBuildTabulatedToneCurve16(ContextID, 258, NULL); | 
 |     LabTable[1] = cmsBuildTabulatedToneCurve16(ContextID, 258, NULL); | 
 |     LabTable[2] = cmsBuildTabulatedToneCurve16(ContextID, 258, NULL); | 
 |  | 
 |     for (j=0; j < 3; j++) { | 
 |  | 
 |         if (LabTable[j] == NULL) { | 
 |             cmsFreeToneCurveTriple(LabTable); | 
 |             return NULL; | 
 |         } | 
 |  | 
 |         // We need to map * (0xffff / 0xff00), that's same as (257 / 256) | 
 |         // So we can use 258-entry tables to do the trick (i / 257) * (255 * 257) * (257 / 256); | 
 |         for (i=0; i < 257; i++)  { | 
 |  | 
 |             LabTable[j]->Table16[i] = (cmsUInt16Number) ((i * 0xffff + 0x80) >> 8); | 
 |         } | 
 |  | 
 |         LabTable[j] ->Table16[257] = 0xffff; | 
 |     } | 
 |  | 
 |     mpe = cmsStageAllocToneCurves(ContextID, 3, LabTable); | 
 |     cmsFreeToneCurveTriple(LabTable); | 
 |  | 
 |     if (mpe == NULL) return NULL; | 
 |     mpe ->Implements = cmsSigLabV2toV4; | 
 |     return mpe; | 
 | } | 
 |  | 
 | // ******************************************************************************** | 
 |  | 
 | // Matrix-based conversion, which is more accurate, but slower and cannot properly be saved in devicelink profiles | 
 | cmsStage* CMSEXPORT _cmsStageAllocLabV2ToV4(cmsContext ContextID) | 
 | { | 
 |     static const cmsFloat64Number V2ToV4[] = { 65535.0/65280.0, 0, 0, | 
 |                                      0, 65535.0/65280.0, 0, | 
 |                                      0, 0, 65535.0/65280.0 | 
 |                                      }; | 
 |  | 
 |     cmsStage *mpe = cmsStageAllocMatrix(ContextID, 3, 3, V2ToV4, NULL); | 
 |  | 
 |     if (mpe == NULL) return mpe; | 
 |     mpe ->Implements = cmsSigLabV2toV4; | 
 |     return mpe; | 
 | } | 
 |  | 
 |  | 
 | // Reverse direction | 
 | cmsStage* CMSEXPORT _cmsStageAllocLabV4ToV2(cmsContext ContextID) | 
 | { | 
 |     static const cmsFloat64Number V4ToV2[] = { 65280.0/65535.0, 0, 0, | 
 |                                      0, 65280.0/65535.0, 0, | 
 |                                      0, 0, 65280.0/65535.0 | 
 |                                      }; | 
 |  | 
 |      cmsStage *mpe = cmsStageAllocMatrix(ContextID, 3, 3, V4ToV2, NULL); | 
 |  | 
 |     if (mpe == NULL) return mpe; | 
 |     mpe ->Implements = cmsSigLabV4toV2; | 
 |     return mpe; | 
 | } | 
 |  | 
 |  | 
 | // To Lab to float. Note that the MPE gives numbers in normal Lab range | 
 | // and we need 0..1.0 range for the formatters | 
 | // L* : 0...100 => 0...1.0  (L* / 100) | 
 | // ab* : -128..+127 to 0..1  ((ab* + 128) / 255) | 
 |  | 
 | cmsStage* _cmsStageNormalizeFromLabFloat(cmsContext ContextID) | 
 | { | 
 |     static const cmsFloat64Number a1[] = { | 
 |         1.0/100.0, 0, 0, | 
 |         0, 1.0/255.0, 0, | 
 |         0, 0, 1.0/255.0 | 
 |     }; | 
 |  | 
 |     static const cmsFloat64Number o1[] = { | 
 |         0, | 
 |         128.0/255.0, | 
 |         128.0/255.0 | 
 |     }; | 
 |  | 
 |     cmsStage *mpe = cmsStageAllocMatrix(ContextID, 3, 3, a1, o1); | 
 |  | 
 |     if (mpe == NULL) return mpe; | 
 |     mpe ->Implements = cmsSigLab2FloatPCS; | 
 |     return mpe; | 
 | } | 
 |  | 
 | // Fom XYZ to floating point PCS | 
 | cmsStage* _cmsStageNormalizeFromXyzFloat(cmsContext ContextID) | 
 | { | 
 | #define n (32768.0/65535.0) | 
 |     static const cmsFloat64Number a1[] = { | 
 |         n, 0, 0, | 
 |         0, n, 0, | 
 |         0, 0, n | 
 |     }; | 
 | #undef n | 
 |  | 
 |     cmsStage *mpe =  cmsStageAllocMatrix(ContextID, 3, 3, a1, NULL); | 
 |  | 
 |     if (mpe == NULL) return mpe; | 
 |     mpe ->Implements = cmsSigXYZ2FloatPCS; | 
 |     return mpe; | 
 | } | 
 |  | 
 | cmsStage* _cmsStageNormalizeToLabFloat(cmsContext ContextID) | 
 | { | 
 |     static const cmsFloat64Number a1[] = { | 
 |         100.0, 0, 0, | 
 |         0, 255.0, 0, | 
 |         0, 0, 255.0 | 
 |     }; | 
 |  | 
 |     static const cmsFloat64Number o1[] = { | 
 |         0, | 
 |         -128.0, | 
 |         -128.0 | 
 |     }; | 
 |  | 
 |     cmsStage *mpe =  cmsStageAllocMatrix(ContextID, 3, 3, a1, o1); | 
 |     if (mpe == NULL) return mpe; | 
 |     mpe ->Implements = cmsSigFloatPCS2Lab; | 
 |     return mpe; | 
 | } | 
 |  | 
 | cmsStage* _cmsStageNormalizeToXyzFloat(cmsContext ContextID) | 
 | { | 
 | #define n (65535.0/32768.0) | 
 |  | 
 |     static const cmsFloat64Number a1[] = { | 
 |         n, 0, 0, | 
 |         0, n, 0, | 
 |         0, 0, n | 
 |     }; | 
 | #undef n | 
 |  | 
 |     cmsStage *mpe = cmsStageAllocMatrix(ContextID, 3, 3, a1, NULL); | 
 |     if (mpe == NULL) return mpe; | 
 |     mpe ->Implements = cmsSigFloatPCS2XYZ; | 
 |     return mpe; | 
 | } | 
 |  | 
 | // Clips values smaller than zero | 
 | static | 
 | void Clipper(const cmsFloat32Number In[], cmsFloat32Number Out[], const cmsStage *mpe) | 
 | { | 
 |        cmsUInt32Number i; | 
 |        for (i = 0; i < mpe->InputChannels; i++) { | 
 |  | 
 |               cmsFloat32Number n = In[i]; | 
 |               Out[i] = n < 0 ? 0 : n; | 
 |        } | 
 | } | 
 |  | 
 | cmsStage*  _cmsStageClipNegatives(cmsContext ContextID, cmsUInt32Number nChannels) | 
 | { | 
 |        return _cmsStageAllocPlaceholder(ContextID, cmsSigClipNegativesElemType, | 
 |               nChannels, nChannels, Clipper, NULL, NULL, NULL); | 
 | } | 
 |  | 
 | // ******************************************************************************** | 
 | // Type cmsSigXYZ2LabElemType | 
 | // ******************************************************************************** | 
 |  | 
 | static | 
 | void EvaluateXYZ2Lab(const cmsFloat32Number In[], cmsFloat32Number Out[], const cmsStage *mpe) | 
 | { | 
 |     cmsCIELab Lab; | 
 |     cmsCIEXYZ XYZ; | 
 |     const cmsFloat64Number XYZadj = MAX_ENCODEABLE_XYZ; | 
 |  | 
 |     // From 0..1.0 to XYZ | 
 |  | 
 |     XYZ.X = In[0] * XYZadj; | 
 |     XYZ.Y = In[1] * XYZadj; | 
 |     XYZ.Z = In[2] * XYZadj; | 
 |  | 
 |     cmsXYZ2Lab(NULL, &Lab, &XYZ); | 
 |  | 
 |     // From V4 Lab to 0..1.0 | 
 |  | 
 |     Out[0] = (cmsFloat32Number) (Lab.L / 100.0); | 
 |     Out[1] = (cmsFloat32Number) ((Lab.a + 128.0) / 255.0); | 
 |     Out[2] = (cmsFloat32Number) ((Lab.b + 128.0) / 255.0); | 
 |     return; | 
 |  | 
 |     cmsUNUSED_PARAMETER(mpe); | 
 | } | 
 |  | 
 | cmsStage* CMSEXPORT _cmsStageAllocXYZ2Lab(cmsContext ContextID) | 
 | { | 
 |     return _cmsStageAllocPlaceholder(ContextID, cmsSigXYZ2LabElemType, 3, 3, EvaluateXYZ2Lab, NULL, NULL, NULL); | 
 |  | 
 | } | 
 |  | 
 | // ******************************************************************************** | 
 |  | 
 | // For v4, S-Shaped curves are placed in a/b axis to increase resolution near gray | 
 |  | 
 | cmsStage* _cmsStageAllocLabPrelin(cmsContext ContextID) | 
 | { | 
 |     cmsToneCurve* LabTable[3]; | 
 |     cmsFloat64Number Params[1] =  {2.4} ; | 
 |  | 
 |     LabTable[0] = cmsBuildGamma(ContextID, 1.0); | 
 |     LabTable[1] = cmsBuildParametricToneCurve(ContextID, 108, Params); | 
 |     LabTable[2] = cmsBuildParametricToneCurve(ContextID, 108, Params); | 
 |  | 
 |     return cmsStageAllocToneCurves(ContextID, 3, LabTable); | 
 | } | 
 |  | 
 |  | 
 | // Free a single MPE | 
 | void CMSEXPORT cmsStageFree(cmsStage* mpe) | 
 | { | 
 |     if (mpe ->FreePtr) | 
 |         mpe ->FreePtr(mpe); | 
 |  | 
 |     _cmsFree(mpe ->ContextID, mpe); | 
 | } | 
 |  | 
 |  | 
 | cmsUInt32Number  CMSEXPORT cmsStageInputChannels(const cmsStage* mpe) | 
 | { | 
 |     return mpe ->InputChannels; | 
 | } | 
 |  | 
 | cmsUInt32Number  CMSEXPORT cmsStageOutputChannels(const cmsStage* mpe) | 
 | { | 
 |     return mpe ->OutputChannels; | 
 | } | 
 |  | 
 | cmsStageSignature CMSEXPORT cmsStageType(const cmsStage* mpe) | 
 | { | 
 |     return mpe -> Type; | 
 | } | 
 |  | 
 | void* CMSEXPORT cmsStageData(const cmsStage* mpe) | 
 | { | 
 |     return mpe -> Data; | 
 | } | 
 |  | 
 | cmsContext CMSEXPORT cmsGetStageContextID(const cmsStage* mpe) | 
 | { | 
 |     return mpe -> ContextID; | 
 | } | 
 |  | 
 | cmsStage*  CMSEXPORT cmsStageNext(const cmsStage* mpe) | 
 | { | 
 |     return mpe -> Next; | 
 | } | 
 |  | 
 |  | 
 | // Duplicates an MPE | 
 | cmsStage* CMSEXPORT cmsStageDup(cmsStage* mpe) | 
 | { | 
 |     cmsStage* NewMPE; | 
 |  | 
 |     if (mpe == NULL) return NULL; | 
 |     NewMPE = _cmsStageAllocPlaceholder(mpe ->ContextID, | 
 |                                      mpe ->Type, | 
 |                                      mpe ->InputChannels, | 
 |                                      mpe ->OutputChannels, | 
 |                                      mpe ->EvalPtr, | 
 |                                      mpe ->DupElemPtr, | 
 |                                      mpe ->FreePtr, | 
 |                                      NULL); | 
 |     if (NewMPE == NULL) return NULL; | 
 |  | 
 |     NewMPE ->Implements = mpe ->Implements; | 
 |  | 
 |     if (mpe ->DupElemPtr) { | 
 |  | 
 |         NewMPE ->Data = mpe ->DupElemPtr(mpe); | 
 |  | 
 |         if (NewMPE->Data == NULL) { | 
 |  | 
 |             cmsStageFree(NewMPE); | 
 |             return NULL; | 
 |         } | 
 |  | 
 |     } else { | 
 |  | 
 |         NewMPE ->Data       = NULL; | 
 |     } | 
 |  | 
 |     return NewMPE; | 
 | } | 
 |  | 
 |  | 
 | // *********************************************************************************************************** | 
 |  | 
 | // This function sets up the channel count | 
 | static | 
 | cmsBool BlessLUT(cmsPipeline* lut) | 
 | { | 
 |     // We can set the input/output channels only if we have elements. | 
 |     if (lut ->Elements != NULL) { | 
 |  | 
 |         cmsStage* prev; | 
 |         cmsStage* next; | 
 |         cmsStage* First; | 
 |         cmsStage* Last; | 
 |  | 
 |         First  = cmsPipelineGetPtrToFirstStage(lut); | 
 |         Last   = cmsPipelineGetPtrToLastStage(lut); | 
 |  | 
 |         if (First == NULL || Last == NULL) return FALSE; | 
 |  | 
 |         lut->InputChannels = First->InputChannels; | 
 |         lut->OutputChannels = Last->OutputChannels; | 
 |  | 
 |         // Check chain consistency | 
 |         prev = First; | 
 |         next = prev->Next; | 
 |  | 
 |         while (next != NULL) | 
 |         { | 
 |             if (next->InputChannels != prev->OutputChannels) | 
 |                 return FALSE; | 
 |  | 
 |             next = next->Next; | 
 |             prev = prev->Next; | 
 |     } | 
 | } | 
 |  | 
 |     return TRUE;     | 
 | } | 
 |  | 
 |  | 
 | // Default to evaluate the LUT on 16 bit-basis. Precision is retained. | 
 | static | 
 | void _LUTeval16(CMSREGISTER const cmsUInt16Number In[], CMSREGISTER cmsUInt16Number Out[],  CMSREGISTER const void* D) | 
 | { | 
 |     cmsPipeline* lut = (cmsPipeline*) D; | 
 |     cmsStage *mpe; | 
 |     cmsFloat32Number Storage[2][MAX_STAGE_CHANNELS] = {0.0f}; | 
 |     int Phase = 0, NextPhase; | 
 |  | 
 |     From16ToFloat(In, &Storage[Phase][0], lut ->InputChannels); | 
 |  | 
 |     for (mpe = lut ->Elements; | 
 |          mpe != NULL; | 
 |          mpe = mpe ->Next) { | 
 |  | 
 |              NextPhase = Phase ^ 1; | 
 |              mpe ->EvalPtr(&Storage[Phase][0], &Storage[NextPhase][0], mpe); | 
 |              Phase = NextPhase; | 
 |     } | 
 |  | 
 |  | 
 |     FromFloatTo16(&Storage[Phase][0], Out, lut ->OutputChannels); | 
 | } | 
 |  | 
 |  | 
 |  | 
 | // Does evaluate the LUT on cmsFloat32Number-basis. | 
 | static | 
 | void _LUTevalFloat(const cmsFloat32Number In[], cmsFloat32Number Out[], const void* D) | 
 | { | 
 |     cmsPipeline* lut = (cmsPipeline*) D; | 
 |     cmsStage *mpe; | 
 |     cmsFloat32Number Storage[2][MAX_STAGE_CHANNELS] = {0.0f}; | 
 |     int Phase = 0, NextPhase; | 
 |  | 
 |     memmove(&Storage[Phase][0], In, lut ->InputChannels  * sizeof(cmsFloat32Number)); | 
 |  | 
 |     for (mpe = lut ->Elements; | 
 |          mpe != NULL; | 
 |          mpe = mpe ->Next) { | 
 |  | 
 |               NextPhase = Phase ^ 1; | 
 |               mpe ->EvalPtr(&Storage[Phase][0], &Storage[NextPhase][0], mpe); | 
 |               Phase = NextPhase; | 
 |     } | 
 |  | 
 |     memmove(Out, &Storage[Phase][0], lut ->OutputChannels * sizeof(cmsFloat32Number)); | 
 | } | 
 |  | 
 |  | 
 | // LUT Creation & Destruction | 
 | cmsPipeline* CMSEXPORT cmsPipelineAlloc(cmsContext ContextID, cmsUInt32Number InputChannels, cmsUInt32Number OutputChannels) | 
 | { | 
 |        cmsPipeline* NewLUT; | 
 |  | 
 |        // A value of zero in channels is allowed as placeholder | 
 |        if (InputChannels >= cmsMAXCHANNELS || | 
 |            OutputChannels >= cmsMAXCHANNELS) return NULL; | 
 |  | 
 |        NewLUT = (cmsPipeline*) _cmsMallocZero(ContextID, sizeof(cmsPipeline)); | 
 |        if (NewLUT == NULL) return NULL; | 
 |  | 
 |        NewLUT -> InputChannels  = InputChannels; | 
 |        NewLUT -> OutputChannels = OutputChannels; | 
 |  | 
 |        NewLUT ->Eval16Fn    = _LUTeval16; | 
 |        NewLUT ->EvalFloatFn = _LUTevalFloat; | 
 |        NewLUT ->DupDataFn   = NULL; | 
 |        NewLUT ->FreeDataFn  = NULL; | 
 |        NewLUT ->Data        = NewLUT; | 
 |        NewLUT ->ContextID   = ContextID; | 
 |  | 
 |        if (!BlessLUT(NewLUT)) | 
 |        { | 
 |            _cmsFree(ContextID, NewLUT); | 
 |            return NULL; | 
 |        } | 
 |  | 
 |        return NewLUT; | 
 | } | 
 |  | 
 | cmsContext CMSEXPORT cmsGetPipelineContextID(const cmsPipeline* lut) | 
 | { | 
 |     _cmsAssert(lut != NULL); | 
 |     return lut ->ContextID; | 
 | } | 
 |  | 
 | cmsUInt32Number CMSEXPORT cmsPipelineInputChannels(const cmsPipeline* lut) | 
 | { | 
 |     _cmsAssert(lut != NULL); | 
 |     return lut ->InputChannels; | 
 | } | 
 |  | 
 | cmsUInt32Number CMSEXPORT cmsPipelineOutputChannels(const cmsPipeline* lut) | 
 | { | 
 |     _cmsAssert(lut != NULL); | 
 |     return lut ->OutputChannels; | 
 | } | 
 |  | 
 | // Free a profile elements LUT | 
 | void CMSEXPORT cmsPipelineFree(cmsPipeline* lut) | 
 | { | 
 |     cmsStage *mpe, *Next; | 
 |  | 
 |     if (lut == NULL) return; | 
 |  | 
 |     for (mpe = lut ->Elements; | 
 |         mpe != NULL; | 
 |         mpe = Next) { | 
 |  | 
 |             Next = mpe ->Next; | 
 |             cmsStageFree(mpe); | 
 |     } | 
 |  | 
 |     if (lut ->FreeDataFn) lut ->FreeDataFn(lut ->ContextID, lut ->Data); | 
 |  | 
 |     _cmsFree(lut ->ContextID, lut); | 
 | } | 
 |  | 
 |  | 
 | // Default to evaluate the LUT on 16 bit-basis. | 
 | void CMSEXPORT cmsPipelineEval16(const cmsUInt16Number In[], cmsUInt16Number Out[],  const cmsPipeline* lut) | 
 | { | 
 |     _cmsAssert(lut != NULL); | 
 |     lut ->Eval16Fn(In, Out, lut->Data); | 
 | } | 
 |  | 
 |  | 
 | // Does evaluate the LUT on cmsFloat32Number-basis. | 
 | void CMSEXPORT cmsPipelineEvalFloat(const cmsFloat32Number In[], cmsFloat32Number Out[], const cmsPipeline* lut) | 
 | { | 
 |     _cmsAssert(lut != NULL); | 
 |     lut ->EvalFloatFn(In, Out, lut); | 
 | } | 
 |  | 
 |  | 
 |  | 
 | // Duplicates a LUT | 
 | cmsPipeline* CMSEXPORT cmsPipelineDup(const cmsPipeline* lut) | 
 | { | 
 |     cmsPipeline* NewLUT; | 
 |     cmsStage *NewMPE, *Anterior = NULL, *mpe; | 
 |     cmsBool  First = TRUE; | 
 |  | 
 |     if (lut == NULL) return NULL; | 
 |  | 
 |     NewLUT = cmsPipelineAlloc(lut ->ContextID, lut ->InputChannels, lut ->OutputChannels); | 
 |     if (NewLUT == NULL) return NULL; | 
 |  | 
 |     for (mpe = lut ->Elements; | 
 |          mpe != NULL; | 
 |          mpe = mpe ->Next) { | 
 |  | 
 |              NewMPE = cmsStageDup(mpe); | 
 |  | 
 |              if (NewMPE == NULL) { | 
 |                  cmsPipelineFree(NewLUT); | 
 |                  return NULL; | 
 |              } | 
 |  | 
 |              if (First) { | 
 |                  NewLUT ->Elements = NewMPE; | 
 |                  First = FALSE; | 
 |              } | 
 |              else { | 
 |                 if (Anterior != NULL)  | 
 |                     Anterior ->Next = NewMPE; | 
 |              } | 
 |  | 
 |             Anterior = NewMPE; | 
 |     } | 
 |  | 
 |     NewLUT ->Eval16Fn    = lut ->Eval16Fn; | 
 |     NewLUT ->EvalFloatFn = lut ->EvalFloatFn; | 
 |     NewLUT ->DupDataFn   = lut ->DupDataFn; | 
 |     NewLUT ->FreeDataFn  = lut ->FreeDataFn; | 
 |  | 
 |     if (NewLUT ->DupDataFn != NULL) | 
 |         NewLUT ->Data = NewLUT ->DupDataFn(lut ->ContextID, lut->Data); | 
 |  | 
 |  | 
 |     NewLUT ->SaveAs8Bits    = lut ->SaveAs8Bits; | 
 |  | 
 |     if (!BlessLUT(NewLUT)) | 
 |     { | 
 |         _cmsFree(lut->ContextID, NewLUT); | 
 |         return NULL; | 
 |     } | 
 |  | 
 |     return NewLUT; | 
 | } | 
 |  | 
 |  | 
 | int CMSEXPORT cmsPipelineInsertStage(cmsPipeline* lut, cmsStageLoc loc, cmsStage* mpe) | 
 | { | 
 |     cmsStage* Anterior = NULL, *pt; | 
 |  | 
 |     if (lut == NULL || mpe == NULL) | 
 |         return FALSE; | 
 |  | 
 |     switch (loc) { | 
 |  | 
 |         case cmsAT_BEGIN: | 
 |             mpe ->Next = lut ->Elements; | 
 |             lut ->Elements = mpe; | 
 |             break; | 
 |  | 
 |         case cmsAT_END: | 
 |  | 
 |             if (lut ->Elements == NULL) | 
 |                 lut ->Elements = mpe; | 
 |             else { | 
 |  | 
 |                 for (pt = lut ->Elements; | 
 |                      pt != NULL; | 
 |                      pt = pt -> Next) Anterior = pt; | 
 |                  | 
 |                 Anterior ->Next = mpe; | 
 |                 mpe ->Next = NULL; | 
 |             } | 
 |             break; | 
 |         default:; | 
 |             return FALSE; | 
 |     } | 
 |  | 
 |     return BlessLUT(lut);     | 
 | } | 
 |  | 
 | // Unlink an element and return the pointer to it | 
 | void CMSEXPORT cmsPipelineUnlinkStage(cmsPipeline* lut, cmsStageLoc loc, cmsStage** mpe) | 
 | { | 
 |     cmsStage *Anterior, *pt, *Last; | 
 |     cmsStage *Unlinked = NULL; | 
 |  | 
 |  | 
 |     // If empty LUT, there is nothing to remove | 
 |     if (lut ->Elements == NULL) { | 
 |         if (mpe) *mpe = NULL; | 
 |         return; | 
 |     } | 
 |  | 
 |     // On depending on the strategy... | 
 |     switch (loc) { | 
 |  | 
 |         case cmsAT_BEGIN: | 
 |             { | 
 |                 cmsStage* elem = lut ->Elements; | 
 |  | 
 |                 lut ->Elements = elem -> Next; | 
 |                 elem ->Next = NULL; | 
 |                 Unlinked = elem; | 
 |  | 
 |             } | 
 |             break; | 
 |  | 
 |         case cmsAT_END: | 
 |             Anterior = Last = NULL; | 
 |             for (pt = lut ->Elements; | 
 |                 pt != NULL; | 
 |                 pt = pt -> Next) { | 
 |                     Anterior = Last; | 
 |                     Last = pt; | 
 |             } | 
 |  | 
 |             Unlinked = Last;  // Next already points to NULL | 
 |  | 
 |             // Truncate the chain | 
 |             if (Anterior) | 
 |                 Anterior ->Next = NULL; | 
 |             else | 
 |                 lut ->Elements = NULL; | 
 |             break; | 
 |         default:; | 
 |     } | 
 |  | 
 |     if (mpe) | 
 |         *mpe = Unlinked; | 
 |     else | 
 |         cmsStageFree(Unlinked); | 
 |  | 
 |     // May fail, but we ignore it | 
 |     BlessLUT(lut); | 
 | } | 
 |  | 
 |  | 
 | // Concatenate two LUT into a new single one | 
 | cmsBool  CMSEXPORT cmsPipelineCat(cmsPipeline* l1, const cmsPipeline* l2) | 
 | { | 
 |     cmsStage* mpe; | 
 |  | 
 |     // If both LUTS does not have elements, we need to inherit | 
 |     // the number of channels | 
 |     if (l1 ->Elements == NULL && l2 ->Elements == NULL) { | 
 |         l1 ->InputChannels  = l2 ->InputChannels; | 
 |         l1 ->OutputChannels = l2 ->OutputChannels; | 
 |     } | 
 |  | 
 |     // Cat second | 
 |     for (mpe = l2 ->Elements; | 
 |          mpe != NULL; | 
 |          mpe = mpe ->Next) { | 
 |  | 
 |             // We have to dup each element | 
 |             if (!cmsPipelineInsertStage(l1, cmsAT_END, cmsStageDup(mpe))) | 
 |                 return FALSE; | 
 |     } | 
 |  | 
 |     return BlessLUT(l1);     | 
 | } | 
 |  | 
 |  | 
 | cmsBool CMSEXPORT cmsPipelineSetSaveAs8bitsFlag(cmsPipeline* lut, cmsBool On) | 
 | { | 
 |     cmsBool Anterior = lut ->SaveAs8Bits; | 
 |  | 
 |     lut ->SaveAs8Bits = On; | 
 |     return Anterior; | 
 | } | 
 |  | 
 |  | 
 | cmsStage* CMSEXPORT cmsPipelineGetPtrToFirstStage(const cmsPipeline* lut) | 
 | { | 
 |     return lut ->Elements; | 
 | } | 
 |  | 
 | cmsStage* CMSEXPORT cmsPipelineGetPtrToLastStage(const cmsPipeline* lut) | 
 | { | 
 |     cmsStage *mpe, *Anterior = NULL; | 
 |  | 
 |     for (mpe = lut ->Elements; mpe != NULL; mpe = mpe ->Next) | 
 |         Anterior = mpe; | 
 |  | 
 |     return Anterior; | 
 | } | 
 |  | 
 | cmsUInt32Number CMSEXPORT cmsPipelineStageCount(const cmsPipeline* lut) | 
 | { | 
 |     cmsStage *mpe; | 
 |     cmsUInt32Number n; | 
 |  | 
 |     for (n=0, mpe = lut ->Elements; mpe != NULL; mpe = mpe ->Next) | 
 |             n++; | 
 |  | 
 |     return n; | 
 | } | 
 |  | 
 | // This function may be used to set the optional evaluator and a block of private data. If private data is being used, an optional | 
 | // duplicator and free functions should also be specified in order to duplicate the LUT construct. Use NULL to inhibit such functionality. | 
 | void CMSEXPORT _cmsPipelineSetOptimizationParameters(cmsPipeline* Lut, | 
 |                                         _cmsPipelineEval16Fn Eval16, | 
 |                                         void* PrivateData, | 
 |                                         _cmsFreeUserDataFn FreePrivateDataFn, | 
 |                                         _cmsDupUserDataFn  DupPrivateDataFn) | 
 | { | 
 |  | 
 |     Lut ->Eval16Fn = Eval16; | 
 |     Lut ->DupDataFn = DupPrivateDataFn; | 
 |     Lut ->FreeDataFn = FreePrivateDataFn; | 
 |     Lut ->Data = PrivateData; | 
 | } | 
 |  | 
 |  | 
 | // ----------------------------------------------------------- Reverse interpolation | 
 | // Here's how it goes. The derivative Df(x) of the function f is the linear | 
 | // transformation that best approximates f near the point x. It can be represented | 
 | // by a matrix A whose entries are the partial derivatives of the components of f | 
 | // with respect to all the coordinates. This is know as the Jacobian | 
 | // | 
 | // The best linear approximation to f is given by the matrix equation: | 
 | // | 
 | // y-y0 = A (x-x0) | 
 | // | 
 | // So, if x0 is a good "guess" for the zero of f, then solving for the zero of this | 
 | // linear approximation will give a "better guess" for the zero of f. Thus let y=0, | 
 | // and since y0=f(x0) one can solve the above equation for x. This leads to the | 
 | // Newton's method formula: | 
 | // | 
 | // xn+1 = xn - A-1 f(xn) | 
 | // | 
 | // where xn+1 denotes the (n+1)-st guess, obtained from the n-th guess xn in the | 
 | // fashion described above. Iterating this will give better and better approximations | 
 | // if you have a "good enough" initial guess. | 
 |  | 
 |  | 
 | #define JACOBIAN_EPSILON            0.001f | 
 | #define INVERSION_MAX_ITERATIONS    30 | 
 |  | 
 | // Increment with reflexion on boundary | 
 | static | 
 | void IncDelta(cmsFloat32Number *Val) | 
 | { | 
 |     if (*Val < (1.0 - JACOBIAN_EPSILON)) | 
 |  | 
 |         *Val += JACOBIAN_EPSILON; | 
 |  | 
 |     else | 
 |         *Val -= JACOBIAN_EPSILON; | 
 |  | 
 | } | 
 |  | 
 |  | 
 |  | 
 | // Euclidean distance between two vectors of n elements each one | 
 | static | 
 | cmsFloat32Number EuclideanDistance(cmsFloat32Number a[], cmsFloat32Number b[], int n) | 
 | { | 
 |     cmsFloat32Number sum = 0; | 
 |     int i; | 
 |  | 
 |     for (i=0; i < n; i++) { | 
 |         cmsFloat32Number dif = b[i] - a[i]; | 
 |         sum +=  dif * dif; | 
 |     } | 
 |  | 
 |     return sqrtf(sum); | 
 | } | 
 |  | 
 |  | 
 | // Evaluate a LUT in reverse direction. It only searches on 3->3 LUT. Uses Newton method | 
 | // | 
 | // x1 <- x - [J(x)]^-1 * f(x) | 
 | // | 
 | // lut: The LUT on where to do the search | 
 | // Target: LabK, 3 values of Lab plus destination K which is fixed | 
 | // Result: The obtained CMYK | 
 | // Hint:   Location where begin the search | 
 |  | 
 | cmsBool CMSEXPORT cmsPipelineEvalReverseFloat(cmsFloat32Number Target[], | 
 |                                               cmsFloat32Number Result[], | 
 |                                               cmsFloat32Number Hint[], | 
 |                                               const cmsPipeline* lut) | 
 | { | 
 |     cmsUInt32Number  i, j; | 
 |     cmsFloat64Number  error, LastError = 1E20; | 
 |     cmsFloat32Number  fx[4], x[4], xd[4], fxd[4]; | 
 |     cmsVEC3 tmp, tmp2; | 
 |     cmsMAT3 Jacobian; | 
 |      | 
 |     // Only 3->3 and 4->3 are supported | 
 |     if (lut ->InputChannels != 3 && lut ->InputChannels != 4) return FALSE; | 
 |     if (lut ->OutputChannels != 3) return FALSE; | 
 |     | 
 |     // Take the hint as starting point if specified | 
 |     if (Hint == NULL) { | 
 |  | 
 |         // Begin at any point, we choose 1/3 of CMY axis | 
 |         x[0] = x[1] = x[2] = 0.3f; | 
 |     } | 
 |     else { | 
 |  | 
 |         // Only copy 3 channels from hint... | 
 |         for (j=0; j < 3; j++) | 
 |             x[j] = Hint[j]; | 
 |     } | 
 |  | 
 |     // If Lut is 4-dimensions, then grab target[3], which is fixed | 
 |     if (lut ->InputChannels == 4) { | 
 |         x[3] = Target[3]; | 
 |     } | 
 |     else x[3] = 0; // To keep lint happy | 
 |  | 
 |  | 
 |     // Iterate | 
 |     for (i = 0; i < INVERSION_MAX_ITERATIONS; i++) { | 
 |  | 
 |         // Get beginning fx | 
 |         cmsPipelineEvalFloat(x, fx, lut); | 
 |  | 
 |         // Compute error | 
 |         error = EuclideanDistance(fx, Target, 3); | 
 |  | 
 |         // If not convergent, return last safe value | 
 |         if (error >= LastError) | 
 |             break; | 
 |  | 
 |         // Keep latest values | 
 |         LastError     = error; | 
 |         for (j=0; j < lut ->InputChannels; j++) | 
 |                 Result[j] = x[j]; | 
 |  | 
 |         // Found an exact match? | 
 |         if (error <= 0) | 
 |             break; | 
 |  | 
 |         // Obtain slope (the Jacobian) | 
 |         for (j = 0; j < 3; j++) { | 
 |  | 
 |             xd[0] = x[0]; | 
 |             xd[1] = x[1]; | 
 |             xd[2] = x[2]; | 
 |             xd[3] = x[3];  // Keep fixed channel | 
 |  | 
 |             IncDelta(&xd[j]); | 
 |  | 
 |             cmsPipelineEvalFloat(xd, fxd, lut); | 
 |  | 
 |             Jacobian.v[0].n[j] = ((fxd[0] - fx[0]) / JACOBIAN_EPSILON); | 
 |             Jacobian.v[1].n[j] = ((fxd[1] - fx[1]) / JACOBIAN_EPSILON); | 
 |             Jacobian.v[2].n[j] = ((fxd[2] - fx[2]) / JACOBIAN_EPSILON); | 
 |         } | 
 |  | 
 |         // Solve system | 
 |         tmp2.n[0] = fx[0] - Target[0]; | 
 |         tmp2.n[1] = fx[1] - Target[1]; | 
 |         tmp2.n[2] = fx[2] - Target[2]; | 
 |  | 
 |         if (!_cmsMAT3solve(&tmp, &Jacobian, &tmp2)) | 
 |             return FALSE; | 
 |  | 
 |         // Move our guess | 
 |         x[0] -= (cmsFloat32Number) tmp.n[0]; | 
 |         x[1] -= (cmsFloat32Number) tmp.n[1]; | 
 |         x[2] -= (cmsFloat32Number) tmp.n[2]; | 
 |  | 
 |         // Some clipping.... | 
 |         for (j=0; j < 3; j++) { | 
 |             if (x[j] < 0) x[j] = 0; | 
 |             else | 
 |                 if (x[j] > 1.0) x[j] = 1.0; | 
 |         } | 
 |     } | 
 |  | 
 |     return TRUE; | 
 | } | 
 |  | 
 |  |