|  | //--------------------------------------------------------------------------------- | 
|  | // | 
|  | //  Little Color Management System | 
|  | //  Copyright (c) 1998-2022 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" | 
|  |  | 
|  |  | 
|  | #define cmsmin(a, b) (((a) < (b)) ? (a) : (b)) | 
|  | #define cmsmax(a, b) (((a) > (b)) ? (a) : (b)) | 
|  |  | 
|  | // This file contains routines for resampling and LUT optimization, black point detection | 
|  | // and black preservation. | 
|  |  | 
|  | // Black point detection ------------------------------------------------------------------------- | 
|  |  | 
|  |  | 
|  | // PCS -> PCS round trip transform, always uses relative intent on the device -> pcs | 
|  | static | 
|  | cmsHTRANSFORM CreateRoundtripXForm(cmsHPROFILE hProfile, cmsUInt32Number nIntent) | 
|  | { | 
|  | cmsContext ContextID = cmsGetProfileContextID(hProfile); | 
|  | cmsHPROFILE hLab = cmsCreateLab4ProfileTHR(ContextID, NULL); | 
|  | cmsHTRANSFORM xform; | 
|  | cmsBool BPC[4] = { FALSE, FALSE, FALSE, FALSE }; | 
|  | cmsFloat64Number States[4] = { 1.0, 1.0, 1.0, 1.0 }; | 
|  | cmsHPROFILE hProfiles[4]; | 
|  | cmsUInt32Number Intents[4]; | 
|  |  | 
|  | hProfiles[0] = hLab; hProfiles[1] = hProfile; hProfiles[2] = hProfile; hProfiles[3] = hLab; | 
|  | Intents[0]   = INTENT_RELATIVE_COLORIMETRIC; Intents[1] = nIntent; Intents[2] = INTENT_RELATIVE_COLORIMETRIC; Intents[3] = INTENT_RELATIVE_COLORIMETRIC; | 
|  |  | 
|  | xform =  cmsCreateExtendedTransform(ContextID, 4, hProfiles, BPC, Intents, | 
|  | States, NULL, 0, TYPE_Lab_DBL, TYPE_Lab_DBL, cmsFLAGS_NOCACHE|cmsFLAGS_NOOPTIMIZE); | 
|  |  | 
|  | cmsCloseProfile(hLab); | 
|  | return xform; | 
|  | } | 
|  |  | 
|  | // Use darker colorants to obtain black point. This works in the relative colorimetric intent and | 
|  | // assumes more ink results in darker colors. No ink limit is assumed. | 
|  | static | 
|  | cmsBool  BlackPointAsDarkerColorant(cmsHPROFILE    hInput, | 
|  | cmsUInt32Number Intent, | 
|  | cmsCIEXYZ* BlackPoint, | 
|  | cmsUInt32Number dwFlags) | 
|  | { | 
|  | cmsUInt16Number *Black; | 
|  | cmsHTRANSFORM xform; | 
|  | cmsColorSpaceSignature Space; | 
|  | cmsUInt32Number nChannels; | 
|  | cmsUInt32Number dwFormat; | 
|  | cmsHPROFILE hLab; | 
|  | cmsCIELab  Lab; | 
|  | cmsCIEXYZ  BlackXYZ; | 
|  | cmsContext ContextID = cmsGetProfileContextID(hInput); | 
|  |  | 
|  | // If the profile does not support input direction, assume Black point 0 | 
|  | if (!cmsIsIntentSupported(hInput, Intent, LCMS_USED_AS_INPUT)) { | 
|  |  | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // Create a formatter which has n channels and no floating point | 
|  | dwFormat = cmsFormatterForColorspaceOfProfile(hInput, 2, FALSE); | 
|  |  | 
|  | // Try to get black by using black colorant | 
|  | Space = cmsGetColorSpace(hInput); | 
|  |  | 
|  | // This function returns darker colorant in 16 bits for several spaces | 
|  | if (!_cmsEndPointsBySpace(Space, NULL, &Black, &nChannels)) { | 
|  |  | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | if (nChannels != T_CHANNELS(dwFormat)) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // Lab will be used as the output space, but lab2 will avoid recursion | 
|  | hLab = cmsCreateLab2ProfileTHR(ContextID, NULL); | 
|  | if (hLab == NULL) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // Create the transform | 
|  | xform = cmsCreateTransformTHR(ContextID, hInput, dwFormat, | 
|  | hLab, TYPE_Lab_DBL, Intent, cmsFLAGS_NOOPTIMIZE|cmsFLAGS_NOCACHE); | 
|  | cmsCloseProfile(hLab); | 
|  |  | 
|  | if (xform == NULL) { | 
|  |  | 
|  | // Something went wrong. Get rid of open resources and return zero as black | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // Convert black to Lab | 
|  | cmsDoTransform(xform, Black, &Lab, 1); | 
|  |  | 
|  | // Force it to be neutral, clip to max. L* of 50 | 
|  | Lab.a = Lab.b = 0; | 
|  | if (Lab.L > 50) Lab.L = 50; | 
|  |  | 
|  | // Free the resources | 
|  | cmsDeleteTransform(xform); | 
|  |  | 
|  | // Convert from Lab (which is now clipped) to XYZ. | 
|  | cmsLab2XYZ(NULL, &BlackXYZ, &Lab); | 
|  |  | 
|  | if (BlackPoint != NULL) | 
|  | *BlackPoint = BlackXYZ; | 
|  |  | 
|  | return TRUE; | 
|  |  | 
|  | cmsUNUSED_PARAMETER(dwFlags); | 
|  | } | 
|  |  | 
|  | // Get a black point of output CMYK profile, discounting any ink-limiting embedded | 
|  | // in the profile. For doing that, we use perceptual intent in input direction: | 
|  | // Lab (0, 0, 0) -> [Perceptual] Profile -> CMYK -> [Rel. colorimetric] Profile -> Lab | 
|  | static | 
|  | cmsBool BlackPointUsingPerceptualBlack(cmsCIEXYZ* BlackPoint, cmsHPROFILE hProfile) | 
|  | { | 
|  | cmsHTRANSFORM hRoundTrip; | 
|  | cmsCIELab LabIn, LabOut; | 
|  | cmsCIEXYZ  BlackXYZ; | 
|  |  | 
|  | // Is the intent supported by the profile? | 
|  | if (!cmsIsIntentSupported(hProfile, INTENT_PERCEPTUAL, LCMS_USED_AS_INPUT)) { | 
|  |  | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return TRUE; | 
|  | } | 
|  |  | 
|  | hRoundTrip = CreateRoundtripXForm(hProfile, INTENT_PERCEPTUAL); | 
|  | if (hRoundTrip == NULL) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | LabIn.L = LabIn.a = LabIn.b = 0; | 
|  | cmsDoTransform(hRoundTrip, &LabIn, &LabOut, 1); | 
|  |  | 
|  | // Clip Lab to reasonable limits | 
|  | if (LabOut.L > 50) LabOut.L = 50; | 
|  | LabOut.a = LabOut.b = 0; | 
|  |  | 
|  | cmsDeleteTransform(hRoundTrip); | 
|  |  | 
|  | // Convert it to XYZ | 
|  | cmsLab2XYZ(NULL, &BlackXYZ, &LabOut); | 
|  |  | 
|  | if (BlackPoint != NULL) | 
|  | *BlackPoint = BlackXYZ; | 
|  |  | 
|  | return TRUE; | 
|  | } | 
|  |  | 
|  | // This function shouldn't exist at all -- there is such quantity of broken | 
|  | // profiles on black point tag, that we must somehow fix chromaticity to | 
|  | // avoid huge tint when doing Black point compensation. This function does | 
|  | // just that. There is a special flag for using black point tag, but turned | 
|  | // off by default because it is bogus on most profiles. The detection algorithm | 
|  | // involves to turn BP to neutral and to use only L component. | 
|  | cmsBool CMSEXPORT cmsDetectBlackPoint(cmsCIEXYZ* BlackPoint, cmsHPROFILE hProfile, cmsUInt32Number Intent, cmsUInt32Number dwFlags) | 
|  | { | 
|  | cmsProfileClassSignature devClass; | 
|  |  | 
|  | // Make sure the device class is adequate | 
|  | devClass = cmsGetDeviceClass(hProfile); | 
|  | if (devClass == cmsSigLinkClass || | 
|  | devClass == cmsSigAbstractClass || | 
|  | devClass == cmsSigNamedColorClass) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // Make sure intent is adequate | 
|  | if (Intent != INTENT_PERCEPTUAL && | 
|  | Intent != INTENT_RELATIVE_COLORIMETRIC && | 
|  | Intent != INTENT_SATURATION) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // v4 + perceptual & saturation intents does have its own black point, and it is | 
|  | // well specified enough to use it. Black point tag is deprecated in V4. | 
|  | if ((cmsGetEncodedICCversion(hProfile) >= 0x4000000) && | 
|  | (Intent == INTENT_PERCEPTUAL || Intent == INTENT_SATURATION)) { | 
|  |  | 
|  | // Matrix shaper share MRC & perceptual intents | 
|  | if (cmsIsMatrixShaper(hProfile)) | 
|  | return BlackPointAsDarkerColorant(hProfile, INTENT_RELATIVE_COLORIMETRIC, BlackPoint, 0); | 
|  |  | 
|  | // Get Perceptual black out of v4 profiles. That is fixed for perceptual & saturation intents | 
|  | BlackPoint -> X = cmsPERCEPTUAL_BLACK_X; | 
|  | BlackPoint -> Y = cmsPERCEPTUAL_BLACK_Y; | 
|  | BlackPoint -> Z = cmsPERCEPTUAL_BLACK_Z; | 
|  |  | 
|  | return TRUE; | 
|  | } | 
|  |  | 
|  |  | 
|  | #ifdef CMS_USE_PROFILE_BLACK_POINT_TAG | 
|  |  | 
|  | // v2, v4 rel/abs colorimetric | 
|  | if (cmsIsTag(hProfile, cmsSigMediaBlackPointTag) && | 
|  | Intent == INTENT_RELATIVE_COLORIMETRIC) { | 
|  |  | 
|  | cmsCIEXYZ *BlackPtr, BlackXYZ, UntrustedBlackPoint, TrustedBlackPoint, MediaWhite; | 
|  | cmsCIELab Lab; | 
|  |  | 
|  | // If black point is specified, then use it, | 
|  |  | 
|  | BlackPtr = cmsReadTag(hProfile, cmsSigMediaBlackPointTag); | 
|  | if (BlackPtr != NULL) { | 
|  |  | 
|  | BlackXYZ = *BlackPtr; | 
|  | _cmsReadMediaWhitePoint(&MediaWhite, hProfile); | 
|  |  | 
|  | // Black point is absolute XYZ, so adapt to D50 to get PCS value | 
|  | cmsAdaptToIlluminant(&UntrustedBlackPoint, &MediaWhite, cmsD50_XYZ(), &BlackXYZ); | 
|  |  | 
|  | // Force a=b=0 to get rid of any chroma | 
|  | cmsXYZ2Lab(NULL, &Lab, &UntrustedBlackPoint); | 
|  | Lab.a = Lab.b = 0; | 
|  | if (Lab.L > 50) Lab.L = 50; // Clip to L* <= 50 | 
|  | cmsLab2XYZ(NULL, &TrustedBlackPoint, &Lab); | 
|  |  | 
|  | if (BlackPoint != NULL) | 
|  | *BlackPoint = TrustedBlackPoint; | 
|  |  | 
|  | return TRUE; | 
|  | } | 
|  | } | 
|  | #endif | 
|  |  | 
|  | // That is about v2 profiles. | 
|  |  | 
|  | // If output profile, discount ink-limiting and that's all | 
|  | if (Intent == INTENT_RELATIVE_COLORIMETRIC && | 
|  | (cmsGetDeviceClass(hProfile) == cmsSigOutputClass) && | 
|  | (cmsGetColorSpace(hProfile)  == cmsSigCmykData)) | 
|  | return BlackPointUsingPerceptualBlack(BlackPoint, hProfile); | 
|  |  | 
|  | // Nope, compute BP using current intent. | 
|  | return BlackPointAsDarkerColorant(hProfile, Intent, BlackPoint, dwFlags); | 
|  | } | 
|  |  | 
|  |  | 
|  |  | 
|  | // --------------------------------------------------------------------------------------------------------- | 
|  |  | 
|  | // Least Squares Fit of a Quadratic Curve to Data | 
|  | // http://www.personal.psu.edu/jhm/f90/lectures/lsq2.html | 
|  |  | 
|  | static | 
|  | cmsFloat64Number RootOfLeastSquaresFitQuadraticCurve(int n, cmsFloat64Number x[], cmsFloat64Number y[]) | 
|  | { | 
|  | double sum_x = 0, sum_x2 = 0, sum_x3 = 0, sum_x4 = 0; | 
|  | double sum_y = 0, sum_yx = 0, sum_yx2 = 0; | 
|  | double d, a, b, c; | 
|  | int i; | 
|  | cmsMAT3 m; | 
|  | cmsVEC3 v, res; | 
|  |  | 
|  | if (n < 4) return 0; | 
|  |  | 
|  | for (i=0; i < n; i++) { | 
|  |  | 
|  | double xn = x[i]; | 
|  | double yn = y[i]; | 
|  |  | 
|  | sum_x  += xn; | 
|  | sum_x2 += xn*xn; | 
|  | sum_x3 += xn*xn*xn; | 
|  | sum_x4 += xn*xn*xn*xn; | 
|  |  | 
|  | sum_y += yn; | 
|  | sum_yx += yn*xn; | 
|  | sum_yx2 += yn*xn*xn; | 
|  | } | 
|  |  | 
|  | _cmsVEC3init(&m.v[0], n,      sum_x,  sum_x2); | 
|  | _cmsVEC3init(&m.v[1], sum_x,  sum_x2, sum_x3); | 
|  | _cmsVEC3init(&m.v[2], sum_x2, sum_x3, sum_x4); | 
|  |  | 
|  | _cmsVEC3init(&v, sum_y, sum_yx, sum_yx2); | 
|  |  | 
|  | if (!_cmsMAT3solve(&res, &m, &v)) return 0; | 
|  |  | 
|  |  | 
|  | a = res.n[2]; | 
|  | b = res.n[1]; | 
|  | c = res.n[0]; | 
|  |  | 
|  | if (fabs(a) < 1.0E-10) { | 
|  |  | 
|  | return cmsmin(0, cmsmax(50, -c/b )); | 
|  | } | 
|  | else { | 
|  |  | 
|  | d = b*b - 4.0 * a * c; | 
|  | if (d <= 0) { | 
|  | return 0; | 
|  | } | 
|  | else { | 
|  |  | 
|  | double rt = (-b + sqrt(d)) / (2.0 * a); | 
|  |  | 
|  | return cmsmax(0, cmsmin(50, rt)); | 
|  | } | 
|  | } | 
|  |  | 
|  | } | 
|  |  | 
|  |  | 
|  |  | 
|  | // Calculates the black point of a destination profile. | 
|  | // This algorithm comes from the Adobe paper disclosing its black point compensation method. | 
|  | cmsBool CMSEXPORT cmsDetectDestinationBlackPoint(cmsCIEXYZ* BlackPoint, cmsHPROFILE hProfile, cmsUInt32Number Intent, cmsUInt32Number dwFlags) | 
|  | { | 
|  | cmsColorSpaceSignature ColorSpace; | 
|  | cmsHTRANSFORM hRoundTrip = NULL; | 
|  | cmsCIELab InitialLab, destLab, Lab; | 
|  | cmsFloat64Number inRamp[256], outRamp[256]; | 
|  | cmsFloat64Number MinL, MaxL; | 
|  | cmsBool NearlyStraightMidrange = TRUE; | 
|  | cmsFloat64Number yRamp[256]; | 
|  | cmsFloat64Number x[256], y[256]; | 
|  | cmsFloat64Number lo, hi; | 
|  | int n, l; | 
|  | cmsProfileClassSignature devClass; | 
|  |  | 
|  | // Make sure the device class is adequate | 
|  | devClass = cmsGetDeviceClass(hProfile); | 
|  | if (devClass == cmsSigLinkClass || | 
|  | devClass == cmsSigAbstractClass || | 
|  | devClass == cmsSigNamedColorClass) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // Make sure intent is adequate | 
|  | if (Intent != INTENT_PERCEPTUAL && | 
|  | Intent != INTENT_RELATIVE_COLORIMETRIC && | 
|  | Intent != INTENT_SATURATION) { | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  |  | 
|  | // v4 + perceptual & saturation intents does have its own black point, and it is | 
|  | // well specified enough to use it. Black point tag is deprecated in V4. | 
|  | if ((cmsGetEncodedICCversion(hProfile) >= 0x4000000) && | 
|  | (Intent == INTENT_PERCEPTUAL || Intent == INTENT_SATURATION)) { | 
|  |  | 
|  | // Matrix shaper share MRC & perceptual intents | 
|  | if (cmsIsMatrixShaper(hProfile)) | 
|  | return BlackPointAsDarkerColorant(hProfile, INTENT_RELATIVE_COLORIMETRIC, BlackPoint, 0); | 
|  |  | 
|  | // Get Perceptual black out of v4 profiles. That is fixed for perceptual & saturation intents | 
|  | BlackPoint -> X = cmsPERCEPTUAL_BLACK_X; | 
|  | BlackPoint -> Y = cmsPERCEPTUAL_BLACK_Y; | 
|  | BlackPoint -> Z = cmsPERCEPTUAL_BLACK_Z; | 
|  | return TRUE; | 
|  | } | 
|  |  | 
|  |  | 
|  | // Check if the profile is lut based and gray, rgb or cmyk (7.2 in Adobe's document) | 
|  | ColorSpace = cmsGetColorSpace(hProfile); | 
|  | if (!cmsIsCLUT(hProfile, Intent, LCMS_USED_AS_OUTPUT ) || | 
|  | (ColorSpace != cmsSigGrayData && | 
|  | ColorSpace != cmsSigRgbData  && | 
|  | ColorSpace != cmsSigCmykData)) { | 
|  |  | 
|  | // In this case, handle as input case | 
|  | return cmsDetectBlackPoint(BlackPoint, hProfile, Intent, dwFlags); | 
|  | } | 
|  |  | 
|  | // It is one of the valid cases!, use Adobe algorithm | 
|  |  | 
|  |  | 
|  | // Set a first guess, that should work on good profiles. | 
|  | if (Intent == INTENT_RELATIVE_COLORIMETRIC) { | 
|  |  | 
|  | cmsCIEXYZ IniXYZ; | 
|  |  | 
|  | // calculate initial Lab as source black point | 
|  | if (!cmsDetectBlackPoint(&IniXYZ, hProfile, Intent, dwFlags)) { | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  | // convert the XYZ to lab | 
|  | cmsXYZ2Lab(NULL, &InitialLab, &IniXYZ); | 
|  |  | 
|  | } else { | 
|  |  | 
|  | // set the initial Lab to zero, that should be the black point for perceptual and saturation | 
|  | InitialLab.L = 0; | 
|  | InitialLab.a = 0; | 
|  | InitialLab.b = 0; | 
|  | } | 
|  |  | 
|  |  | 
|  | // Step 2 | 
|  | // ====== | 
|  |  | 
|  | // Create a roundtrip. Define a Transform BT for all x in L*a*b* | 
|  | hRoundTrip = CreateRoundtripXForm(hProfile, Intent); | 
|  | if (hRoundTrip == NULL)  return FALSE; | 
|  |  | 
|  | // Compute ramps | 
|  |  | 
|  | for (l=0; l < 256; l++) { | 
|  |  | 
|  | Lab.L = (cmsFloat64Number) (l * 100.0) / 255.0; | 
|  | Lab.a = cmsmin(50, cmsmax(-50, InitialLab.a)); | 
|  | Lab.b = cmsmin(50, cmsmax(-50, InitialLab.b)); | 
|  |  | 
|  | cmsDoTransform(hRoundTrip, &Lab, &destLab, 1); | 
|  |  | 
|  | inRamp[l]  = Lab.L; | 
|  | outRamp[l] = destLab.L; | 
|  | } | 
|  |  | 
|  | // Make monotonic | 
|  | for (l = 254; l > 0; --l) { | 
|  | outRamp[l] = cmsmin(outRamp[l], outRamp[l+1]); | 
|  | } | 
|  |  | 
|  | // Check | 
|  | if (! (outRamp[0] < outRamp[255])) { | 
|  |  | 
|  | cmsDeleteTransform(hRoundTrip); | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  |  | 
|  | // Test for mid range straight (only on relative colorimetric) | 
|  | NearlyStraightMidrange = TRUE; | 
|  | MinL = outRamp[0]; MaxL = outRamp[255]; | 
|  | if (Intent == INTENT_RELATIVE_COLORIMETRIC) { | 
|  |  | 
|  | for (l=0; l < 256; l++) { | 
|  |  | 
|  | if (! ((inRamp[l] <= MinL + 0.2 * (MaxL - MinL) ) || | 
|  | (fabs(inRamp[l] - outRamp[l]) < 4.0 ))) | 
|  | NearlyStraightMidrange = FALSE; | 
|  | } | 
|  |  | 
|  | // If the mid range is straight (as determined above) then the | 
|  | // DestinationBlackPoint shall be the same as initialLab. | 
|  | // Otherwise, the DestinationBlackPoint shall be determined | 
|  | // using curve fitting. | 
|  | if (NearlyStraightMidrange) { | 
|  |  | 
|  | cmsLab2XYZ(NULL, BlackPoint, &InitialLab); | 
|  | cmsDeleteTransform(hRoundTrip); | 
|  | return TRUE; | 
|  | } | 
|  | } | 
|  |  | 
|  |  | 
|  | // curve fitting: The round-trip curve normally looks like a nearly constant section at the black point, | 
|  | // with a corner and a nearly straight line to the white point. | 
|  | for (l=0; l < 256; l++) { | 
|  |  | 
|  | yRamp[l] = (outRamp[l] - MinL) / (MaxL - MinL); | 
|  | } | 
|  |  | 
|  | // find the black point using the least squares error quadratic curve fitting | 
|  | if (Intent == INTENT_RELATIVE_COLORIMETRIC) { | 
|  | lo = 0.1; | 
|  | hi = 0.5; | 
|  | } | 
|  | else { | 
|  |  | 
|  | // Perceptual and saturation | 
|  | lo = 0.03; | 
|  | hi = 0.25; | 
|  | } | 
|  |  | 
|  | // Capture shadow points for the fitting. | 
|  | n = 0; | 
|  | for (l=0; l < 256; l++) { | 
|  |  | 
|  | cmsFloat64Number ff = yRamp[l]; | 
|  |  | 
|  | if (ff >= lo && ff < hi) { | 
|  | x[n] = inRamp[l]; | 
|  | y[n] = yRamp[l]; | 
|  | n++; | 
|  | } | 
|  | } | 
|  |  | 
|  |  | 
|  | // No suitable points | 
|  | if (n < 3 ) { | 
|  | cmsDeleteTransform(hRoundTrip); | 
|  | BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0; | 
|  | return FALSE; | 
|  | } | 
|  |  | 
|  |  | 
|  | // fit and get the vertex of quadratic curve | 
|  | Lab.L = RootOfLeastSquaresFitQuadraticCurve(n, x, y); | 
|  |  | 
|  | if (Lab.L < 0.0) { // clip to zero L* if the vertex is negative | 
|  | Lab.L = 0; | 
|  | } | 
|  |  | 
|  | Lab.a = InitialLab.a; | 
|  | Lab.b = InitialLab.b; | 
|  |  | 
|  | cmsLab2XYZ(NULL, BlackPoint, &Lab); | 
|  |  | 
|  | cmsDeleteTransform(hRoundTrip); | 
|  | return TRUE; | 
|  | } |