1489 lines
43 KiB
C
1489 lines
43 KiB
C
//---------------------------------------------------------------------------------
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//
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// Little Color Management System
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// Copyright (c) 1998-2020 Marti Maria Saguer
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//
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// Permission is hereby granted, free of charge, to any person obtaining
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// a copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the Software
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// is furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
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// THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
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// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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//
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//---------------------------------------------------------------------------------
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//
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#include "lcms2_internal.h"
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// Tone curves are powerful constructs that can contain curves specified in diverse ways.
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// The curve is stored in segments, where each segment can be sampled or specified by parameters.
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// a 16.bit simplification of the *whole* curve is kept for optimization purposes. For float operation,
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// each segment is evaluated separately. Plug-ins may be used to define new parametric schemes,
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// each plug-in may define up to MAX_TYPES_IN_LCMS_PLUGIN functions types. For defining a function,
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// the plug-in should provide the type id, how many parameters each type has, and a pointer to
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// a procedure that evaluates the function. In the case of reverse evaluation, the evaluator will
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// be called with the type id as a negative value, and a sampled version of the reversed curve
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// will be built.
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// ----------------------------------------------------------------- Implementation
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// Maxim number of nodes
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#define MAX_NODES_IN_CURVE 4097
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#define MINUS_INF (-1E22F)
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#define PLUS_INF (+1E22F)
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// The list of supported parametric curves
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typedef struct _cmsParametricCurvesCollection_st {
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cmsUInt32Number nFunctions; // Number of supported functions in this chunk
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cmsInt32Number FunctionTypes[MAX_TYPES_IN_LCMS_PLUGIN]; // The identification types
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cmsUInt32Number ParameterCount[MAX_TYPES_IN_LCMS_PLUGIN]; // Number of parameters for each function
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cmsParametricCurveEvaluator Evaluator; // The evaluator
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struct _cmsParametricCurvesCollection_st* Next; // Next in list
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} _cmsParametricCurvesCollection;
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// This is the default (built-in) evaluator
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static cmsFloat64Number DefaultEvalParametricFn(cmsInt32Number Type, const cmsFloat64Number Params[], cmsFloat64Number R);
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// The built-in list
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static _cmsParametricCurvesCollection DefaultCurves = {
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10, // # of curve types
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{ 1, 2, 3, 4, 5, 6, 7, 8, 108, 109 }, // Parametric curve ID
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{ 1, 3, 4, 5, 7, 4, 5, 5, 1, 1 }, // Parameters by type
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DefaultEvalParametricFn, // Evaluator
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NULL // Next in chain
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};
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// Duplicates the zone of memory used by the plug-in in the new context
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static
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void DupPluginCurvesList(struct _cmsContext_struct* ctx,
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const struct _cmsContext_struct* src)
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{
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_cmsCurvesPluginChunkType newHead = { NULL };
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_cmsParametricCurvesCollection* entry;
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_cmsParametricCurvesCollection* Anterior = NULL;
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_cmsCurvesPluginChunkType* head = (_cmsCurvesPluginChunkType*) src->chunks[CurvesPlugin];
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_cmsAssert(head != NULL);
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// Walk the list copying all nodes
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for (entry = head->ParametricCurves;
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entry != NULL;
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entry = entry ->Next) {
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_cmsParametricCurvesCollection *newEntry = ( _cmsParametricCurvesCollection *) _cmsSubAllocDup(ctx ->MemPool, entry, sizeof(_cmsParametricCurvesCollection));
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if (newEntry == NULL)
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return;
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// We want to keep the linked list order, so this is a little bit tricky
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newEntry -> Next = NULL;
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if (Anterior)
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Anterior -> Next = newEntry;
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Anterior = newEntry;
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if (newHead.ParametricCurves == NULL)
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newHead.ParametricCurves = newEntry;
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}
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ctx ->chunks[CurvesPlugin] = _cmsSubAllocDup(ctx->MemPool, &newHead, sizeof(_cmsCurvesPluginChunkType));
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}
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// The allocator have to follow the chain
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void _cmsAllocCurvesPluginChunk(struct _cmsContext_struct* ctx,
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const struct _cmsContext_struct* src)
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{
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_cmsAssert(ctx != NULL);
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if (src != NULL) {
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// Copy all linked list
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DupPluginCurvesList(ctx, src);
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}
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else {
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static _cmsCurvesPluginChunkType CurvesPluginChunk = { NULL };
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ctx ->chunks[CurvesPlugin] = _cmsSubAllocDup(ctx ->MemPool, &CurvesPluginChunk, sizeof(_cmsCurvesPluginChunkType));
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}
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}
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// The linked list head
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_cmsCurvesPluginChunkType _cmsCurvesPluginChunk = { NULL };
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// As a way to install new parametric curves
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cmsBool _cmsRegisterParametricCurvesPlugin(cmsContext ContextID, cmsPluginBase* Data)
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{
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_cmsCurvesPluginChunkType* ctx = ( _cmsCurvesPluginChunkType*) _cmsContextGetClientChunk(ContextID, CurvesPlugin);
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cmsPluginParametricCurves* Plugin = (cmsPluginParametricCurves*) Data;
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_cmsParametricCurvesCollection* fl;
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if (Data == NULL) {
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ctx -> ParametricCurves = NULL;
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return TRUE;
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}
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fl = (_cmsParametricCurvesCollection*) _cmsPluginMalloc(ContextID, sizeof(_cmsParametricCurvesCollection));
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if (fl == NULL) return FALSE;
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// Copy the parameters
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fl ->Evaluator = Plugin ->Evaluator;
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fl ->nFunctions = Plugin ->nFunctions;
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// Make sure no mem overwrites
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if (fl ->nFunctions > MAX_TYPES_IN_LCMS_PLUGIN)
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fl ->nFunctions = MAX_TYPES_IN_LCMS_PLUGIN;
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// Copy the data
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memmove(fl->FunctionTypes, Plugin ->FunctionTypes, fl->nFunctions * sizeof(cmsUInt32Number));
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memmove(fl->ParameterCount, Plugin ->ParameterCount, fl->nFunctions * sizeof(cmsUInt32Number));
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// Keep linked list
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fl ->Next = ctx->ParametricCurves;
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ctx->ParametricCurves = fl;
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// All is ok
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return TRUE;
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}
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// Search in type list, return position or -1 if not found
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static
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int IsInSet(int Type, _cmsParametricCurvesCollection* c)
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{
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int i;
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for (i=0; i < (int) c ->nFunctions; i++)
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if (abs(Type) == c ->FunctionTypes[i]) return i;
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return -1;
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}
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// Search for the collection which contains a specific type
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static
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_cmsParametricCurvesCollection *GetParametricCurveByType(cmsContext ContextID, int Type, int* index)
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{
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_cmsParametricCurvesCollection* c;
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int Position;
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_cmsCurvesPluginChunkType* ctx = ( _cmsCurvesPluginChunkType*) _cmsContextGetClientChunk(ContextID, CurvesPlugin);
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for (c = ctx->ParametricCurves; c != NULL; c = c ->Next) {
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Position = IsInSet(Type, c);
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if (Position != -1) {
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if (index != NULL)
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*index = Position;
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return c;
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}
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}
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// If none found, revert for defaults
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for (c = &DefaultCurves; c != NULL; c = c ->Next) {
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Position = IsInSet(Type, c);
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if (Position != -1) {
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if (index != NULL)
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*index = Position;
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return c;
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}
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}
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return NULL;
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}
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// Low level allocate, which takes care of memory details. nEntries may be zero, and in this case
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// no optimation curve is computed. nSegments may also be zero in the inverse case, where only the
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// optimization curve is given. Both features simultaneously is an error
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static
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cmsToneCurve* AllocateToneCurveStruct(cmsContext ContextID, cmsUInt32Number nEntries,
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cmsUInt32Number nSegments, const cmsCurveSegment* Segments,
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const cmsUInt16Number* Values)
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{
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cmsToneCurve* p;
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cmsUInt32Number i;
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// We allow huge tables, which are then restricted for smoothing operations
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if (nEntries > 65530) {
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cmsSignalError(ContextID, cmsERROR_RANGE, "Couldn't create tone curve of more than 65530 entries");
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return NULL;
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}
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if (nEntries == 0 && nSegments == 0) {
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cmsSignalError(ContextID, cmsERROR_RANGE, "Couldn't create tone curve with zero segments and no table");
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return NULL;
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}
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// Allocate all required pointers, etc.
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p = (cmsToneCurve*) _cmsMallocZero(ContextID, sizeof(cmsToneCurve));
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if (!p) return NULL;
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// In this case, there are no segments
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if (nSegments == 0) {
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p ->Segments = NULL;
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p ->Evals = NULL;
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}
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else {
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p ->Segments = (cmsCurveSegment*) _cmsCalloc(ContextID, nSegments, sizeof(cmsCurveSegment));
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if (p ->Segments == NULL) goto Error;
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p ->Evals = (cmsParametricCurveEvaluator*) _cmsCalloc(ContextID, nSegments, sizeof(cmsParametricCurveEvaluator));
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if (p ->Evals == NULL) goto Error;
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}
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p -> nSegments = nSegments;
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// This 16-bit table contains a limited precision representation of the whole curve and is kept for
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// increasing xput on certain operations.
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if (nEntries == 0) {
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p ->Table16 = NULL;
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}
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else {
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p ->Table16 = (cmsUInt16Number*) _cmsCalloc(ContextID, nEntries, sizeof(cmsUInt16Number));
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if (p ->Table16 == NULL) goto Error;
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}
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p -> nEntries = nEntries;
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// Initialize members if requested
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if (Values != NULL && (nEntries > 0)) {
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for (i=0; i < nEntries; i++)
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p ->Table16[i] = Values[i];
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}
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// Initialize the segments stuff. The evaluator for each segment is located and a pointer to it
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// is placed in advance to maximize performance.
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if (Segments != NULL && (nSegments > 0)) {
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_cmsParametricCurvesCollection *c;
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p ->SegInterp = (cmsInterpParams**) _cmsCalloc(ContextID, nSegments, sizeof(cmsInterpParams*));
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if (p ->SegInterp == NULL) goto Error;
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for (i=0; i < nSegments; i++) {
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// Type 0 is a special marker for table-based curves
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if (Segments[i].Type == 0)
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p ->SegInterp[i] = _cmsComputeInterpParams(ContextID, Segments[i].nGridPoints, 1, 1, NULL, CMS_LERP_FLAGS_FLOAT);
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memmove(&p ->Segments[i], &Segments[i], sizeof(cmsCurveSegment));
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if (Segments[i].Type == 0 && Segments[i].SampledPoints != NULL)
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p ->Segments[i].SampledPoints = (cmsFloat32Number*) _cmsDupMem(ContextID, Segments[i].SampledPoints, sizeof(cmsFloat32Number) * Segments[i].nGridPoints);
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else
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p ->Segments[i].SampledPoints = NULL;
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c = GetParametricCurveByType(ContextID, Segments[i].Type, NULL);
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if (c != NULL)
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p ->Evals[i] = c ->Evaluator;
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}
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}
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p ->InterpParams = _cmsComputeInterpParams(ContextID, p ->nEntries, 1, 1, p->Table16, CMS_LERP_FLAGS_16BITS);
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if (p->InterpParams != NULL)
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return p;
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Error:
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if (p -> SegInterp) _cmsFree(ContextID, p -> SegInterp);
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if (p -> Segments) _cmsFree(ContextID, p -> Segments);
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if (p -> Evals) _cmsFree(ContextID, p -> Evals);
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if (p ->Table16) _cmsFree(ContextID, p ->Table16);
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_cmsFree(ContextID, p);
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return NULL;
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}
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// Generates a sigmoidal function with desired steepness.
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cmsINLINE double sigmoid_base(double k, double t)
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{
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return (1.0 / (1.0 + exp(-k * t))) - 0.5;
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}
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cmsINLINE double inverted_sigmoid_base(double k, double t)
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{
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return -log((1.0 / (t + 0.5)) - 1.0) / k;
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}
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cmsINLINE double sigmoid_factory(double k, double t)
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{
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double correction = 0.5 / sigmoid_base(k, 1);
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return correction * sigmoid_base(k, 2.0 * t - 1.0) + 0.5;
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}
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cmsINLINE double inverse_sigmoid_factory(double k, double t)
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{
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double correction = 0.5 / sigmoid_base(k, 1);
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return (inverted_sigmoid_base(k, (t - 0.5) / correction) + 1.0) / 2.0;
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}
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// Parametric Fn using floating point
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static
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cmsFloat64Number DefaultEvalParametricFn(cmsInt32Number Type, const cmsFloat64Number Params[], cmsFloat64Number R)
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{
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cmsFloat64Number e, Val, disc;
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switch (Type) {
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// X = Y ^ Gamma
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case 1:
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if (R < 0) {
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if (fabs(Params[0] - 1.0) < MATRIX_DET_TOLERANCE)
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Val = R;
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else
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Val = 0;
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}
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else
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Val = pow(R, Params[0]);
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break;
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// Type 1 Reversed: X = Y ^1/gamma
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case -1:
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if (R < 0) {
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if (fabs(Params[0] - 1.0) < MATRIX_DET_TOLERANCE)
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Val = R;
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else
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Val = 0;
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}
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else
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{
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if (fabs(Params[0]) < MATRIX_DET_TOLERANCE)
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Val = PLUS_INF;
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else
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Val = pow(R, 1 / Params[0]);
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}
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break;
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// CIE 122-1966
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// Y = (aX + b)^Gamma | X >= -b/a
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// Y = 0 | else
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case 2:
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{
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if (fabs(Params[1]) < MATRIX_DET_TOLERANCE)
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{
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Val = 0;
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}
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else
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{
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disc = -Params[2] / Params[1];
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if (R >= disc) {
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e = Params[1] * R + Params[2];
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if (e > 0)
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Val = pow(e, Params[0]);
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else
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Val = 0;
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}
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else
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Val = 0;
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}
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}
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break;
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// Type 2 Reversed
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// X = (Y ^1/g - b) / a
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case -2:
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{
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if (fabs(Params[0]) < MATRIX_DET_TOLERANCE ||
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fabs(Params[1]) < MATRIX_DET_TOLERANCE)
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{
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Val = 0;
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}
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else
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{
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if (R < 0)
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Val = 0;
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else
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Val = (pow(R, 1.0 / Params[0]) - Params[2]) / Params[1];
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if (Val < 0)
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Val = 0;
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}
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}
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break;
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// IEC 61966-3
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// Y = (aX + b)^Gamma | X <= -b/a
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// Y = c | else
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case 3:
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{
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if (fabs(Params[1]) < MATRIX_DET_TOLERANCE)
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{
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Val = 0;
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}
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else
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{
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disc = -Params[2] / Params[1];
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if (disc < 0)
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disc = 0;
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if (R >= disc) {
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e = Params[1] * R + Params[2];
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if (e > 0)
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Val = pow(e, Params[0]) + Params[3];
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else
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Val = 0;
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}
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else
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Val = Params[3];
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}
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}
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break;
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// Type 3 reversed
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// X=((Y-c)^1/g - b)/a | (Y>=c)
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// X=-b/a | (Y<c)
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case -3:
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{
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if (fabs(Params[1]) < MATRIX_DET_TOLERANCE)
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{
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Val = 0;
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}
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else
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{
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if (R >= Params[3]) {
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e = R - Params[3];
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if (e > 0)
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Val = (pow(e, 1 / Params[0]) - Params[2]) / Params[1];
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else
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Val = 0;
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}
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else {
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Val = -Params[2] / Params[1];
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}
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}
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}
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break;
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// IEC 61966-2.1 (sRGB)
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// Y = (aX + b)^Gamma | X >= d
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// Y = cX | X < d
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case 4:
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if (R >= Params[4]) {
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e = Params[1]*R + Params[2];
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if (e > 0)
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Val = pow(e, Params[0]);
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else
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Val = 0;
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}
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else
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Val = R * Params[3];
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break;
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// Type 4 reversed
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// X=((Y^1/g-b)/a) | Y >= (ad+b)^g
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// X=Y/c | Y< (ad+b)^g
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case -4:
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{
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if (fabs(Params[0]) < MATRIX_DET_TOLERANCE ||
|
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fabs(Params[1]) < MATRIX_DET_TOLERANCE ||
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fabs(Params[3]) < MATRIX_DET_TOLERANCE)
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{
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Val = 0;
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}
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else
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{
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e = Params[1] * Params[4] + Params[2];
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if (e < 0)
|
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disc = 0;
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else
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disc = pow(e, Params[0]);
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if (R >= disc) {
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Val = (pow(R, 1.0 / Params[0]) - Params[2]) / Params[1];
|
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}
|
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else {
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Val = R / Params[3];
|
|
}
|
|
}
|
|
}
|
|
break;
|
|
|
|
|
|
// Y = (aX + b)^Gamma + e | X >= d
|
|
// Y = cX + f | X < d
|
|
case 5:
|
|
if (R >= Params[4]) {
|
|
|
|
e = Params[1]*R + Params[2];
|
|
|
|
if (e > 0)
|
|
Val = pow(e, Params[0]) + Params[5];
|
|
else
|
|
Val = Params[5];
|
|
}
|
|
else
|
|
Val = R*Params[3] + Params[6];
|
|
break;
|
|
|
|
|
|
// Reversed type 5
|
|
// X=((Y-e)1/g-b)/a | Y >=(ad+b)^g+e), cd+f
|
|
// X=(Y-f)/c | else
|
|
case -5:
|
|
{
|
|
if (fabs(Params[1]) < MATRIX_DET_TOLERANCE ||
|
|
fabs(Params[3]) < MATRIX_DET_TOLERANCE)
|
|
{
|
|
Val = 0;
|
|
}
|
|
else
|
|
{
|
|
disc = Params[3] * Params[4] + Params[6];
|
|
if (R >= disc) {
|
|
|
|
e = R - Params[5];
|
|
if (e < 0)
|
|
Val = 0;
|
|
else
|
|
Val = (pow(e, 1.0 / Params[0]) - Params[2]) / Params[1];
|
|
}
|
|
else {
|
|
Val = (R - Params[6]) / Params[3];
|
|
}
|
|
}
|
|
}
|
|
break;
|
|
|
|
|
|
// Types 6,7,8 comes from segmented curves as described in ICCSpecRevision_02_11_06_Float.pdf
|
|
// Type 6 is basically identical to type 5 without d
|
|
|
|
// Y = (a * X + b) ^ Gamma + c
|
|
case 6:
|
|
e = Params[1]*R + Params[2];
|
|
|
|
if (e < 0)
|
|
Val = Params[3];
|
|
else
|
|
Val = pow(e, Params[0]) + Params[3];
|
|
break;
|
|
|
|
// ((Y - c) ^1/Gamma - b) / a
|
|
case -6:
|
|
{
|
|
if (fabs(Params[1]) < MATRIX_DET_TOLERANCE)
|
|
{
|
|
Val = 0;
|
|
}
|
|
else
|
|
{
|
|
e = R - Params[3];
|
|
if (e < 0)
|
|
Val = 0;
|
|
else
|
|
Val = (pow(e, 1.0 / Params[0]) - Params[2]) / Params[1];
|
|
}
|
|
}
|
|
break;
|
|
|
|
|
|
// Y = a * log (b * X^Gamma + c) + d
|
|
case 7:
|
|
|
|
e = Params[2] * pow(R, Params[0]) + Params[3];
|
|
if (e <= 0)
|
|
Val = Params[4];
|
|
else
|
|
Val = Params[1]*log10(e) + Params[4];
|
|
break;
|
|
|
|
// (Y - d) / a = log(b * X ^Gamma + c)
|
|
// pow(10, (Y-d) / a) = b * X ^Gamma + c
|
|
// pow((pow(10, (Y-d) / a) - c) / b, 1/g) = X
|
|
case -7:
|
|
{
|
|
if (fabs(Params[0]) < MATRIX_DET_TOLERANCE ||
|
|
fabs(Params[1]) < MATRIX_DET_TOLERANCE ||
|
|
fabs(Params[2]) < MATRIX_DET_TOLERANCE)
|
|
{
|
|
Val = 0;
|
|
}
|
|
else
|
|
{
|
|
Val = pow((pow(10.0, (R - Params[4]) / Params[1]) - Params[3]) / Params[2], 1.0 / Params[0]);
|
|
}
|
|
}
|
|
break;
|
|
|
|
|
|
//Y = a * b^(c*X+d) + e
|
|
case 8:
|
|
Val = (Params[0] * pow(Params[1], Params[2] * R + Params[3]) + Params[4]);
|
|
break;
|
|
|
|
|
|
// Y = (log((y-e) / a) / log(b) - d ) / c
|
|
// a=0, b=1, c=2, d=3, e=4,
|
|
case -8:
|
|
|
|
disc = R - Params[4];
|
|
if (disc < 0) Val = 0;
|
|
else
|
|
{
|
|
if (fabs(Params[0]) < MATRIX_DET_TOLERANCE ||
|
|
fabs(Params[2]) < MATRIX_DET_TOLERANCE)
|
|
{
|
|
Val = 0;
|
|
}
|
|
else
|
|
{
|
|
Val = (log(disc / Params[0]) / log(Params[1]) - Params[3]) / Params[2];
|
|
}
|
|
}
|
|
break;
|
|
|
|
|
|
// S-Shaped: (1 - (1-x)^1/g)^1/g
|
|
case 108:
|
|
if (fabs(Params[0]) < MATRIX_DET_TOLERANCE)
|
|
Val = 0;
|
|
else
|
|
Val = pow(1.0 - pow(1 - R, 1/Params[0]), 1/Params[0]);
|
|
break;
|
|
|
|
// y = (1 - (1-x)^1/g)^1/g
|
|
// y^g = (1 - (1-x)^1/g)
|
|
// 1 - y^g = (1-x)^1/g
|
|
// (1 - y^g)^g = 1 - x
|
|
// 1 - (1 - y^g)^g
|
|
case -108:
|
|
Val = 1 - pow(1 - pow(R, Params[0]), Params[0]);
|
|
break;
|
|
|
|
// Sigmoidals
|
|
case 109:
|
|
Val = sigmoid_factory(Params[0], R);
|
|
break;
|
|
|
|
case -109:
|
|
Val = inverse_sigmoid_factory(Params[0], R);
|
|
break;
|
|
|
|
default:
|
|
// Unsupported parametric curve. Should never reach here
|
|
return 0;
|
|
}
|
|
|
|
return Val;
|
|
}
|
|
|
|
// Evaluate a segmented function for a single value. Return -Inf if no valid segment found .
|
|
// If fn type is 0, perform an interpolation on the table
|
|
static
|
|
cmsFloat64Number EvalSegmentedFn(const cmsToneCurve *g, cmsFloat64Number R)
|
|
{
|
|
int i;
|
|
cmsFloat32Number Out32;
|
|
cmsFloat64Number Out;
|
|
|
|
for (i = (int) g->nSegments - 1; i >= 0; --i) {
|
|
|
|
// Check for domain
|
|
if ((R > g->Segments[i].x0) && (R <= g->Segments[i].x1)) {
|
|
|
|
// Type == 0 means segment is sampled
|
|
if (g->Segments[i].Type == 0) {
|
|
|
|
cmsFloat32Number R1 = (cmsFloat32Number)(R - g->Segments[i].x0) / (g->Segments[i].x1 - g->Segments[i].x0);
|
|
|
|
// Setup the table (TODO: clean that)
|
|
g->SegInterp[i]->Table = g->Segments[i].SampledPoints;
|
|
|
|
g->SegInterp[i]->Interpolation.LerpFloat(&R1, &Out32, g->SegInterp[i]);
|
|
Out = (cmsFloat64Number) Out32;
|
|
|
|
}
|
|
else {
|
|
Out = g->Evals[i](g->Segments[i].Type, g->Segments[i].Params, R);
|
|
}
|
|
|
|
if (isinf(Out))
|
|
return PLUS_INF;
|
|
else
|
|
{
|
|
if (isinf(-Out))
|
|
return MINUS_INF;
|
|
}
|
|
|
|
return Out;
|
|
}
|
|
}
|
|
|
|
return MINUS_INF;
|
|
}
|
|
|
|
// Access to estimated low-res table
|
|
cmsUInt32Number CMSEXPORT cmsGetToneCurveEstimatedTableEntries(const cmsToneCurve* t)
|
|
{
|
|
_cmsAssert(t != NULL);
|
|
return t ->nEntries;
|
|
}
|
|
|
|
const cmsUInt16Number* CMSEXPORT cmsGetToneCurveEstimatedTable(const cmsToneCurve* t)
|
|
{
|
|
_cmsAssert(t != NULL);
|
|
return t ->Table16;
|
|
}
|
|
|
|
|
|
// Create an empty gamma curve, by using tables. This specifies only the limited-precision part, and leaves the
|
|
// floating point description empty.
|
|
cmsToneCurve* CMSEXPORT cmsBuildTabulatedToneCurve16(cmsContext ContextID, cmsUInt32Number nEntries, const cmsUInt16Number Values[])
|
|
{
|
|
return AllocateToneCurveStruct(ContextID, nEntries, 0, NULL, Values);
|
|
}
|
|
|
|
static
|
|
cmsUInt32Number EntriesByGamma(cmsFloat64Number Gamma)
|
|
{
|
|
if (fabs(Gamma - 1.0) < 0.001) return 2;
|
|
return 4096;
|
|
}
|
|
|
|
|
|
// Create a segmented gamma, fill the table
|
|
cmsToneCurve* CMSEXPORT cmsBuildSegmentedToneCurve(cmsContext ContextID,
|
|
cmsUInt32Number nSegments, const cmsCurveSegment Segments[])
|
|
{
|
|
cmsUInt32Number i;
|
|
cmsFloat64Number R, Val;
|
|
cmsToneCurve* g;
|
|
cmsUInt32Number nGridPoints = 4096;
|
|
|
|
_cmsAssert(Segments != NULL);
|
|
|
|
// Optimizatin for identity curves.
|
|
if (nSegments == 1 && Segments[0].Type == 1) {
|
|
|
|
nGridPoints = EntriesByGamma(Segments[0].Params[0]);
|
|
}
|
|
|
|
g = AllocateToneCurveStruct(ContextID, nGridPoints, nSegments, Segments, NULL);
|
|
if (g == NULL) return NULL;
|
|
|
|
// Once we have the floating point version, we can approximate a 16 bit table of 4096 entries
|
|
// for performance reasons. This table would normally not be used except on 8/16 bits transforms.
|
|
for (i = 0; i < nGridPoints; i++) {
|
|
|
|
R = (cmsFloat64Number) i / (nGridPoints-1);
|
|
|
|
Val = EvalSegmentedFn(g, R);
|
|
|
|
// Round and saturate
|
|
g ->Table16[i] = _cmsQuickSaturateWord(Val * 65535.0);
|
|
}
|
|
|
|
return g;
|
|
}
|
|
|
|
// Use a segmented curve to store the floating point table
|
|
cmsToneCurve* CMSEXPORT cmsBuildTabulatedToneCurveFloat(cmsContext ContextID, cmsUInt32Number nEntries, const cmsFloat32Number values[])
|
|
{
|
|
cmsCurveSegment Seg[3];
|
|
|
|
// A segmented tone curve should have function segments in the first and last positions
|
|
// Initialize segmented curve part up to 0 to constant value = samples[0]
|
|
Seg[0].x0 = MINUS_INF;
|
|
Seg[0].x1 = 0;
|
|
Seg[0].Type = 6;
|
|
|
|
Seg[0].Params[0] = 1;
|
|
Seg[0].Params[1] = 0;
|
|
Seg[0].Params[2] = 0;
|
|
Seg[0].Params[3] = values[0];
|
|
Seg[0].Params[4] = 0;
|
|
|
|
// From zero to 1
|
|
Seg[1].x0 = 0;
|
|
Seg[1].x1 = 1.0;
|
|
Seg[1].Type = 0;
|
|
|
|
Seg[1].nGridPoints = nEntries;
|
|
Seg[1].SampledPoints = (cmsFloat32Number*) values;
|
|
|
|
// Final segment is constant = lastsample
|
|
Seg[2].x0 = 1.0;
|
|
Seg[2].x1 = PLUS_INF;
|
|
Seg[2].Type = 6;
|
|
|
|
Seg[2].Params[0] = 1;
|
|
Seg[2].Params[1] = 0;
|
|
Seg[2].Params[2] = 0;
|
|
Seg[2].Params[3] = values[nEntries-1];
|
|
Seg[2].Params[4] = 0;
|
|
|
|
|
|
return cmsBuildSegmentedToneCurve(ContextID, 3, Seg);
|
|
}
|
|
|
|
// Parametric curves
|
|
//
|
|
// Parameters goes as: Curve, a, b, c, d, e, f
|
|
// Type is the ICC type +1
|
|
// if type is negative, then the curve is analytically inverted
|
|
cmsToneCurve* CMSEXPORT cmsBuildParametricToneCurve(cmsContext ContextID, cmsInt32Number Type, const cmsFloat64Number Params[])
|
|
{
|
|
cmsCurveSegment Seg0;
|
|
int Pos = 0;
|
|
cmsUInt32Number size;
|
|
_cmsParametricCurvesCollection* c = GetParametricCurveByType(ContextID, Type, &Pos);
|
|
|
|
_cmsAssert(Params != NULL);
|
|
|
|
if (c == NULL) {
|
|
cmsSignalError(ContextID, cmsERROR_UNKNOWN_EXTENSION, "Invalid parametric curve type %d", Type);
|
|
return NULL;
|
|
}
|
|
|
|
memset(&Seg0, 0, sizeof(Seg0));
|
|
|
|
Seg0.x0 = MINUS_INF;
|
|
Seg0.x1 = PLUS_INF;
|
|
Seg0.Type = Type;
|
|
|
|
size = c->ParameterCount[Pos] * sizeof(cmsFloat64Number);
|
|
memmove(Seg0.Params, Params, size);
|
|
|
|
return cmsBuildSegmentedToneCurve(ContextID, 1, &Seg0);
|
|
}
|
|
|
|
|
|
|
|
// Build a gamma table based on gamma constant
|
|
cmsToneCurve* CMSEXPORT cmsBuildGamma(cmsContext ContextID, cmsFloat64Number Gamma)
|
|
{
|
|
return cmsBuildParametricToneCurve(ContextID, 1, &Gamma);
|
|
}
|
|
|
|
|
|
// Free all memory taken by the gamma curve
|
|
void CMSEXPORT cmsFreeToneCurve(cmsToneCurve* Curve)
|
|
{
|
|
cmsContext ContextID;
|
|
|
|
if (Curve == NULL) return;
|
|
|
|
ContextID = Curve ->InterpParams->ContextID;
|
|
|
|
_cmsFreeInterpParams(Curve ->InterpParams);
|
|
|
|
if (Curve -> Table16)
|
|
_cmsFree(ContextID, Curve ->Table16);
|
|
|
|
if (Curve ->Segments) {
|
|
|
|
cmsUInt32Number i;
|
|
|
|
for (i=0; i < Curve ->nSegments; i++) {
|
|
|
|
if (Curve ->Segments[i].SampledPoints) {
|
|
_cmsFree(ContextID, Curve ->Segments[i].SampledPoints);
|
|
}
|
|
|
|
if (Curve ->SegInterp[i] != 0)
|
|
_cmsFreeInterpParams(Curve->SegInterp[i]);
|
|
}
|
|
|
|
_cmsFree(ContextID, Curve ->Segments);
|
|
_cmsFree(ContextID, Curve ->SegInterp);
|
|
}
|
|
|
|
if (Curve -> Evals)
|
|
_cmsFree(ContextID, Curve -> Evals);
|
|
|
|
_cmsFree(ContextID, Curve);
|
|
}
|
|
|
|
// Utility function, free 3 gamma tables
|
|
void CMSEXPORT cmsFreeToneCurveTriple(cmsToneCurve* Curve[3])
|
|
{
|
|
|
|
_cmsAssert(Curve != NULL);
|
|
|
|
if (Curve[0] != NULL) cmsFreeToneCurve(Curve[0]);
|
|
if (Curve[1] != NULL) cmsFreeToneCurve(Curve[1]);
|
|
if (Curve[2] != NULL) cmsFreeToneCurve(Curve[2]);
|
|
|
|
Curve[0] = Curve[1] = Curve[2] = NULL;
|
|
}
|
|
|
|
|
|
// Duplicate a gamma table
|
|
cmsToneCurve* CMSEXPORT cmsDupToneCurve(const cmsToneCurve* In)
|
|
{
|
|
if (In == NULL) return NULL;
|
|
|
|
return AllocateToneCurveStruct(In ->InterpParams ->ContextID, In ->nEntries, In ->nSegments, In ->Segments, In ->Table16);
|
|
}
|
|
|
|
// Joins two curves for X and Y. Curves should be monotonic.
|
|
// We want to get
|
|
//
|
|
// y = Y^-1(X(t))
|
|
//
|
|
cmsToneCurve* CMSEXPORT cmsJoinToneCurve(cmsContext ContextID,
|
|
const cmsToneCurve* X,
|
|
const cmsToneCurve* Y, cmsUInt32Number nResultingPoints)
|
|
{
|
|
cmsToneCurve* out = NULL;
|
|
cmsToneCurve* Yreversed = NULL;
|
|
cmsFloat32Number t, x;
|
|
cmsFloat32Number* Res = NULL;
|
|
cmsUInt32Number i;
|
|
|
|
|
|
_cmsAssert(X != NULL);
|
|
_cmsAssert(Y != NULL);
|
|
|
|
Yreversed = cmsReverseToneCurveEx(nResultingPoints, Y);
|
|
if (Yreversed == NULL) goto Error;
|
|
|
|
Res = (cmsFloat32Number*) _cmsCalloc(ContextID, nResultingPoints, sizeof(cmsFloat32Number));
|
|
if (Res == NULL) goto Error;
|
|
|
|
//Iterate
|
|
for (i=0; i < nResultingPoints; i++) {
|
|
|
|
t = (cmsFloat32Number) i / (cmsFloat32Number)(nResultingPoints-1);
|
|
x = cmsEvalToneCurveFloat(X, t);
|
|
Res[i] = cmsEvalToneCurveFloat(Yreversed, x);
|
|
}
|
|
|
|
// Allocate space for output
|
|
out = cmsBuildTabulatedToneCurveFloat(ContextID, nResultingPoints, Res);
|
|
|
|
Error:
|
|
|
|
if (Res != NULL) _cmsFree(ContextID, Res);
|
|
if (Yreversed != NULL) cmsFreeToneCurve(Yreversed);
|
|
|
|
return out;
|
|
}
|
|
|
|
|
|
|
|
// Get the surrounding nodes. This is tricky on non-monotonic tables
|
|
static
|
|
int GetInterval(cmsFloat64Number In, const cmsUInt16Number LutTable[], const struct _cms_interp_struc* p)
|
|
{
|
|
int i;
|
|
int y0, y1;
|
|
|
|
// A 1 point table is not allowed
|
|
if (p -> Domain[0] < 1) return -1;
|
|
|
|
// Let's see if ascending or descending.
|
|
if (LutTable[0] < LutTable[p ->Domain[0]]) {
|
|
|
|
// Table is overall ascending
|
|
for (i = (int) p->Domain[0] - 1; i >= 0; --i) {
|
|
|
|
y0 = LutTable[i];
|
|
y1 = LutTable[i+1];
|
|
|
|
if (y0 <= y1) { // Increasing
|
|
if (In >= y0 && In <= y1) return i;
|
|
}
|
|
else
|
|
if (y1 < y0) { // Decreasing
|
|
if (In >= y1 && In <= y0) return i;
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
// Table is overall descending
|
|
for (i=0; i < (int) p -> Domain[0]; i++) {
|
|
|
|
y0 = LutTable[i];
|
|
y1 = LutTable[i+1];
|
|
|
|
if (y0 <= y1) { // Increasing
|
|
if (In >= y0 && In <= y1) return i;
|
|
}
|
|
else
|
|
if (y1 < y0) { // Decreasing
|
|
if (In >= y1 && In <= y0) return i;
|
|
}
|
|
}
|
|
}
|
|
|
|
return -1;
|
|
}
|
|
|
|
// Reverse a gamma table
|
|
cmsToneCurve* CMSEXPORT cmsReverseToneCurveEx(cmsUInt32Number nResultSamples, const cmsToneCurve* InCurve)
|
|
{
|
|
cmsToneCurve *out;
|
|
cmsFloat64Number a = 0, b = 0, y, x1, y1, x2, y2;
|
|
int i, j;
|
|
int Ascending;
|
|
|
|
_cmsAssert(InCurve != NULL);
|
|
|
|
// Try to reverse it analytically whatever possible
|
|
|
|
if (InCurve ->nSegments == 1 && InCurve ->Segments[0].Type > 0 &&
|
|
/* InCurve -> Segments[0].Type <= 5 */
|
|
GetParametricCurveByType(InCurve ->InterpParams->ContextID, InCurve ->Segments[0].Type, NULL) != NULL) {
|
|
|
|
return cmsBuildParametricToneCurve(InCurve ->InterpParams->ContextID,
|
|
-(InCurve -> Segments[0].Type),
|
|
InCurve -> Segments[0].Params);
|
|
}
|
|
|
|
// Nope, reverse the table.
|
|
out = cmsBuildTabulatedToneCurve16(InCurve ->InterpParams->ContextID, nResultSamples, NULL);
|
|
if (out == NULL)
|
|
return NULL;
|
|
|
|
// We want to know if this is an ascending or descending table
|
|
Ascending = !cmsIsToneCurveDescending(InCurve);
|
|
|
|
// Iterate across Y axis
|
|
for (i=0; i < (int) nResultSamples; i++) {
|
|
|
|
y = (cmsFloat64Number) i * 65535.0 / (nResultSamples - 1);
|
|
|
|
// Find interval in which y is within.
|
|
j = GetInterval(y, InCurve->Table16, InCurve->InterpParams);
|
|
if (j >= 0) {
|
|
|
|
|
|
// Get limits of interval
|
|
x1 = InCurve ->Table16[j];
|
|
x2 = InCurve ->Table16[j+1];
|
|
|
|
y1 = (cmsFloat64Number) (j * 65535.0) / (InCurve ->nEntries - 1);
|
|
y2 = (cmsFloat64Number) ((j+1) * 65535.0 ) / (InCurve ->nEntries - 1);
|
|
|
|
// If collapsed, then use any
|
|
if (x1 == x2) {
|
|
|
|
out ->Table16[i] = _cmsQuickSaturateWord(Ascending ? y2 : y1);
|
|
continue;
|
|
|
|
} else {
|
|
|
|
// Interpolate
|
|
a = (y2 - y1) / (x2 - x1);
|
|
b = y2 - a * x2;
|
|
}
|
|
}
|
|
|
|
out ->Table16[i] = _cmsQuickSaturateWord(a* y + b);
|
|
}
|
|
|
|
|
|
return out;
|
|
}
|
|
|
|
// Reverse a gamma table
|
|
cmsToneCurve* CMSEXPORT cmsReverseToneCurve(const cmsToneCurve* InGamma)
|
|
{
|
|
_cmsAssert(InGamma != NULL);
|
|
|
|
return cmsReverseToneCurveEx(4096, InGamma);
|
|
}
|
|
|
|
// From: Eilers, P.H.C. (1994) Smoothing and interpolation with finite
|
|
// differences. in: Graphic Gems IV, Heckbert, P.S. (ed.), Academic press.
|
|
//
|
|
// Smoothing and interpolation with second differences.
|
|
//
|
|
// Input: weights (w), data (y): vector from 1 to m.
|
|
// Input: smoothing parameter (lambda), length (m).
|
|
// Output: smoothed vector (z): vector from 1 to m.
|
|
|
|
static
|
|
cmsBool smooth2(cmsContext ContextID, cmsFloat32Number w[], cmsFloat32Number y[],
|
|
cmsFloat32Number z[], cmsFloat32Number lambda, int m)
|
|
{
|
|
int i, i1, i2;
|
|
cmsFloat32Number *c, *d, *e;
|
|
cmsBool st;
|
|
|
|
|
|
c = (cmsFloat32Number*) _cmsCalloc(ContextID, MAX_NODES_IN_CURVE, sizeof(cmsFloat32Number));
|
|
d = (cmsFloat32Number*) _cmsCalloc(ContextID, MAX_NODES_IN_CURVE, sizeof(cmsFloat32Number));
|
|
e = (cmsFloat32Number*) _cmsCalloc(ContextID, MAX_NODES_IN_CURVE, sizeof(cmsFloat32Number));
|
|
|
|
if (c != NULL && d != NULL && e != NULL) {
|
|
|
|
|
|
d[1] = w[1] + lambda;
|
|
c[1] = -2 * lambda / d[1];
|
|
e[1] = lambda /d[1];
|
|
z[1] = w[1] * y[1];
|
|
d[2] = w[2] + 5 * lambda - d[1] * c[1] * c[1];
|
|
c[2] = (-4 * lambda - d[1] * c[1] * e[1]) / d[2];
|
|
e[2] = lambda / d[2];
|
|
z[2] = w[2] * y[2] - c[1] * z[1];
|
|
|
|
for (i = 3; i < m - 1; i++) {
|
|
i1 = i - 1; i2 = i - 2;
|
|
d[i]= w[i] + 6 * lambda - c[i1] * c[i1] * d[i1] - e[i2] * e[i2] * d[i2];
|
|
c[i] = (-4 * lambda -d[i1] * c[i1] * e[i1])/ d[i];
|
|
e[i] = lambda / d[i];
|
|
z[i] = w[i] * y[i] - c[i1] * z[i1] - e[i2] * z[i2];
|
|
}
|
|
|
|
i1 = m - 2; i2 = m - 3;
|
|
|
|
d[m - 1] = w[m - 1] + 5 * lambda -c[i1] * c[i1] * d[i1] - e[i2] * e[i2] * d[i2];
|
|
c[m - 1] = (-2 * lambda - d[i1] * c[i1] * e[i1]) / d[m - 1];
|
|
z[m - 1] = w[m - 1] * y[m - 1] - c[i1] * z[i1] - e[i2] * z[i2];
|
|
i1 = m - 1; i2 = m - 2;
|
|
|
|
d[m] = w[m] + lambda - c[i1] * c[i1] * d[i1] - e[i2] * e[i2] * d[i2];
|
|
z[m] = (w[m] * y[m] - c[i1] * z[i1] - e[i2] * z[i2]) / d[m];
|
|
z[m - 1] = z[m - 1] / d[m - 1] - c[m - 1] * z[m];
|
|
|
|
for (i = m - 2; 1<= i; i--)
|
|
z[i] = z[i] / d[i] - c[i] * z[i + 1] - e[i] * z[i + 2];
|
|
|
|
st = TRUE;
|
|
}
|
|
else st = FALSE;
|
|
|
|
if (c != NULL) _cmsFree(ContextID, c);
|
|
if (d != NULL) _cmsFree(ContextID, d);
|
|
if (e != NULL) _cmsFree(ContextID, e);
|
|
|
|
return st;
|
|
}
|
|
|
|
// Smooths a curve sampled at regular intervals.
|
|
cmsBool CMSEXPORT cmsSmoothToneCurve(cmsToneCurve* Tab, cmsFloat64Number lambda)
|
|
{
|
|
cmsBool SuccessStatus = TRUE;
|
|
cmsFloat32Number *w, *y, *z;
|
|
cmsUInt32Number i, nItems, Zeros, Poles;
|
|
cmsBool notCheck = FALSE;
|
|
|
|
if (Tab != NULL && Tab->InterpParams != NULL)
|
|
{
|
|
cmsContext ContextID = Tab->InterpParams->ContextID;
|
|
|
|
if (!cmsIsToneCurveLinear(Tab)) // Only non-linear curves need smoothing
|
|
{
|
|
nItems = Tab->nEntries;
|
|
if (nItems < MAX_NODES_IN_CURVE)
|
|
{
|
|
// Allocate one more item than needed
|
|
w = (cmsFloat32Number *)_cmsCalloc(ContextID, nItems + 1, sizeof(cmsFloat32Number));
|
|
y = (cmsFloat32Number *)_cmsCalloc(ContextID, nItems + 1, sizeof(cmsFloat32Number));
|
|
z = (cmsFloat32Number *)_cmsCalloc(ContextID, nItems + 1, sizeof(cmsFloat32Number));
|
|
|
|
if (w != NULL && y != NULL && z != NULL) // Ensure no memory allocation failure
|
|
{
|
|
memset(w, 0, (nItems + 1) * sizeof(cmsFloat32Number));
|
|
memset(y, 0, (nItems + 1) * sizeof(cmsFloat32Number));
|
|
memset(z, 0, (nItems + 1) * sizeof(cmsFloat32Number));
|
|
|
|
for (i = 0; i < nItems; i++)
|
|
{
|
|
y[i + 1] = (cmsFloat32Number)Tab->Table16[i];
|
|
w[i + 1] = 1.0;
|
|
}
|
|
|
|
if (lambda < 0)
|
|
{
|
|
notCheck = TRUE;
|
|
lambda = -lambda;
|
|
}
|
|
|
|
if (smooth2(ContextID, w, y, z, (cmsFloat32Number)lambda, (int)nItems))
|
|
{
|
|
// Do some reality - checking...
|
|
|
|
Zeros = Poles = 0;
|
|
for (i = nItems; i > 1; --i)
|
|
{
|
|
if (z[i] == 0.) Zeros++;
|
|
if (z[i] >= 65535.) Poles++;
|
|
if (z[i] < z[i - 1])
|
|
{
|
|
cmsSignalError(ContextID, cmsERROR_RANGE, "cmsSmoothToneCurve: Non-Monotonic.");
|
|
SuccessStatus = notCheck;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (SuccessStatus && Zeros > (nItems / 3))
|
|
{
|
|
cmsSignalError(ContextID, cmsERROR_RANGE, "cmsSmoothToneCurve: Degenerated, mostly zeros.");
|
|
SuccessStatus = notCheck;
|
|
}
|
|
|
|
if (SuccessStatus && Poles > (nItems / 3))
|
|
{
|
|
cmsSignalError(ContextID, cmsERROR_RANGE, "cmsSmoothToneCurve: Degenerated, mostly poles.");
|
|
SuccessStatus = notCheck;
|
|
}
|
|
|
|
if (SuccessStatus) // Seems ok
|
|
{
|
|
for (i = 0; i < nItems; i++)
|
|
{
|
|
// Clamp to cmsUInt16Number
|
|
Tab->Table16[i] = _cmsQuickSaturateWord(z[i + 1]);
|
|
}
|
|
}
|
|
}
|
|
else // Could not smooth
|
|
{
|
|
cmsSignalError(ContextID, cmsERROR_RANGE, "cmsSmoothToneCurve: Function smooth2 failed.");
|
|
SuccessStatus = FALSE;
|
|
}
|
|
}
|
|
else // One or more buffers could not be allocated
|
|
{
|
|
cmsSignalError(ContextID, cmsERROR_RANGE, "cmsSmoothToneCurve: Could not allocate memory.");
|
|
SuccessStatus = FALSE;
|
|
}
|
|
|
|
if (z != NULL)
|
|
_cmsFree(ContextID, z);
|
|
|
|
if (y != NULL)
|
|
_cmsFree(ContextID, y);
|
|
|
|
if (w != NULL)
|
|
_cmsFree(ContextID, w);
|
|
}
|
|
else // too many items in the table
|
|
{
|
|
cmsSignalError(ContextID, cmsERROR_RANGE, "cmsSmoothToneCurve: Too many points.");
|
|
SuccessStatus = FALSE;
|
|
}
|
|
}
|
|
}
|
|
else // Tab parameter or Tab->InterpParams is NULL
|
|
{
|
|
// Can't signal an error here since the ContextID is not known at this point
|
|
SuccessStatus = FALSE;
|
|
}
|
|
|
|
return SuccessStatus;
|
|
}
|
|
|
|
// Is a table linear? Do not use parametric since we cannot guarantee some weird parameters resulting
|
|
// in a linear table. This way assures it is linear in 12 bits, which should be enough in most cases.
|
|
cmsBool CMSEXPORT cmsIsToneCurveLinear(const cmsToneCurve* Curve)
|
|
{
|
|
int i;
|
|
int diff;
|
|
|
|
_cmsAssert(Curve != NULL);
|
|
|
|
for (i=0; i < (int) Curve ->nEntries; i++) {
|
|
|
|
diff = abs((int) Curve->Table16[i] - (int) _cmsQuantizeVal(i, Curve ->nEntries));
|
|
if (diff > 0x0f)
|
|
return FALSE;
|
|
}
|
|
|
|
return TRUE;
|
|
}
|
|
|
|
// Same, but for monotonicity
|
|
cmsBool CMSEXPORT cmsIsToneCurveMonotonic(const cmsToneCurve* t)
|
|
{
|
|
cmsUInt32Number n;
|
|
int i, last;
|
|
cmsBool lDescending;
|
|
|
|
_cmsAssert(t != NULL);
|
|
|
|
// Degenerated curves are monotonic? Ok, let's pass them
|
|
n = t ->nEntries;
|
|
if (n < 2) return TRUE;
|
|
|
|
// Curve direction
|
|
lDescending = cmsIsToneCurveDescending(t);
|
|
|
|
if (lDescending) {
|
|
|
|
last = t ->Table16[0];
|
|
|
|
for (i = 1; i < (int) n; i++) {
|
|
|
|
if (t ->Table16[i] - last > 2) // We allow some ripple
|
|
return FALSE;
|
|
else
|
|
last = t ->Table16[i];
|
|
|
|
}
|
|
}
|
|
else {
|
|
|
|
last = t ->Table16[n-1];
|
|
|
|
for (i = (int) n - 2; i >= 0; --i) {
|
|
|
|
if (t ->Table16[i] - last > 2)
|
|
return FALSE;
|
|
else
|
|
last = t ->Table16[i];
|
|
|
|
}
|
|
}
|
|
|
|
return TRUE;
|
|
}
|
|
|
|
// Same, but for descending tables
|
|
cmsBool CMSEXPORT cmsIsToneCurveDescending(const cmsToneCurve* t)
|
|
{
|
|
_cmsAssert(t != NULL);
|
|
|
|
return t ->Table16[0] > t ->Table16[t ->nEntries-1];
|
|
}
|
|
|
|
|
|
// Another info fn: is out gamma table multisegment?
|
|
cmsBool CMSEXPORT cmsIsToneCurveMultisegment(const cmsToneCurve* t)
|
|
{
|
|
_cmsAssert(t != NULL);
|
|
|
|
return t -> nSegments > 1;
|
|
}
|
|
|
|
cmsInt32Number CMSEXPORT cmsGetToneCurveParametricType(const cmsToneCurve* t)
|
|
{
|
|
_cmsAssert(t != NULL);
|
|
|
|
if (t -> nSegments != 1) return 0;
|
|
return t ->Segments[0].Type;
|
|
}
|
|
|
|
// We need accuracy this time
|
|
cmsFloat32Number CMSEXPORT cmsEvalToneCurveFloat(const cmsToneCurve* Curve, cmsFloat32Number v)
|
|
{
|
|
_cmsAssert(Curve != NULL);
|
|
|
|
// Check for 16 bits table. If so, this is a limited-precision tone curve
|
|
if (Curve ->nSegments == 0) {
|
|
|
|
cmsUInt16Number In, Out;
|
|
|
|
In = (cmsUInt16Number) _cmsQuickSaturateWord(v * 65535.0);
|
|
Out = cmsEvalToneCurve16(Curve, In);
|
|
|
|
return (cmsFloat32Number) (Out / 65535.0);
|
|
}
|
|
|
|
return (cmsFloat32Number) EvalSegmentedFn(Curve, v);
|
|
}
|
|
|
|
// We need xput over here
|
|
cmsUInt16Number CMSEXPORT cmsEvalToneCurve16(const cmsToneCurve* Curve, cmsUInt16Number v)
|
|
{
|
|
cmsUInt16Number out;
|
|
|
|
_cmsAssert(Curve != NULL);
|
|
|
|
Curve ->InterpParams ->Interpolation.Lerp16(&v, &out, Curve ->InterpParams);
|
|
return out;
|
|
}
|
|
|
|
|
|
// Least squares fitting.
|
|
// A mathematical procedure for finding the best-fitting curve to a given set of points by
|
|
// minimizing the sum of the squares of the offsets ("the residuals") of the points from the curve.
|
|
// The sum of the squares of the offsets is used instead of the offset absolute values because
|
|
// this allows the residuals to be treated as a continuous differentiable quantity.
|
|
//
|
|
// y = f(x) = x ^ g
|
|
//
|
|
// R = (yi - (xi^g))
|
|
// R2 = (yi - (xi^g))2
|
|
// SUM R2 = SUM (yi - (xi^g))2
|
|
//
|
|
// dR2/dg = -2 SUM x^g log(x)(y - x^g)
|
|
// solving for dR2/dg = 0
|
|
//
|
|
// g = 1/n * SUM(log(y) / log(x))
|
|
|
|
cmsFloat64Number CMSEXPORT cmsEstimateGamma(const cmsToneCurve* t, cmsFloat64Number Precision)
|
|
{
|
|
cmsFloat64Number gamma, sum, sum2;
|
|
cmsFloat64Number n, x, y, Std;
|
|
cmsUInt32Number i;
|
|
|
|
_cmsAssert(t != NULL);
|
|
|
|
sum = sum2 = n = 0;
|
|
|
|
// Excluding endpoints
|
|
for (i=1; i < (MAX_NODES_IN_CURVE-1); i++) {
|
|
|
|
x = (cmsFloat64Number) i / (MAX_NODES_IN_CURVE-1);
|
|
y = (cmsFloat64Number) cmsEvalToneCurveFloat(t, (cmsFloat32Number) x);
|
|
|
|
// Avoid 7% on lower part to prevent
|
|
// artifacts due to linear ramps
|
|
|
|
if (y > 0. && y < 1. && x > 0.07) {
|
|
|
|
gamma = log(y) / log(x);
|
|
sum += gamma;
|
|
sum2 += gamma * gamma;
|
|
n++;
|
|
}
|
|
}
|
|
|
|
// Take a look on SD to see if gamma isn't exponential at all
|
|
Std = sqrt((n * sum2 - sum * sum) / (n*(n-1)));
|
|
|
|
if (Std > Precision)
|
|
return -1.0;
|
|
|
|
return (sum / n); // The mean
|
|
}
|
|
|
|
|
|
// Retrieve parameters on one-segment tone curves
|
|
|
|
cmsFloat64Number* CMSEXPORT cmsGetToneCurveParams(const cmsToneCurve* t)
|
|
{
|
|
_cmsAssert(t != NULL);
|
|
|
|
if (t->nSegments != 1) return NULL;
|
|
return t->Segments[0].Params;
|
|
}
|