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      1 //---------------------------------------------------------------------------------
      2 //
      3 //  Little Color Management System
      4 //  Copyright (c) 1998-2016 Marti Maria Saguer
      5 //
      6 // Permission is hereby granted, free of charge, to any person obtaining
      7 // a copy of this software and associated documentation files (the "Software"),
      8 // to deal in the Software without restriction, including without limitation
      9 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
     10 // and/or sell copies of the Software, and to permit persons to whom the Software
     11 // is furnished to do so, subject to the following conditions:
     12 //
     13 // The above copyright notice and this permission notice shall be included in
     14 // all copies or substantial portions of the Software.
     15 //
     16 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
     17 // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
     18 // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
     19 // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
     20 // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
     21 // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
     22 // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
     23 //
     24 //---------------------------------------------------------------------------------
     25 //
     26 
     27 #include "lcms2_internal.h"
     28 
     29 
     30 #define cmsmin(a, b) (((a) < (b)) ? (a) : (b))
     31 #define cmsmax(a, b) (((a) > (b)) ? (a) : (b))
     32 
     33 // This file contains routines for resampling and LUT optimization, black point detection
     34 // and black preservation.
     35 
     36 // Black point detection -------------------------------------------------------------------------
     37 
     38 
     39 // PCS -> PCS round trip transform, always uses relative intent on the device -> pcs
     40 static
     41 cmsHTRANSFORM CreateRoundtripXForm(cmsHPROFILE hProfile, cmsUInt32Number nIntent)
     42 {
     43     cmsContext ContextID = cmsGetProfileContextID(hProfile);
     44     cmsHPROFILE hLab = cmsCreateLab4ProfileTHR(ContextID, NULL);
     45     cmsHTRANSFORM xform;
     46     cmsBool BPC[4] = { FALSE, FALSE, FALSE, FALSE };
     47     cmsFloat64Number States[4] = { 1.0, 1.0, 1.0, 1.0 };
     48     cmsHPROFILE hProfiles[4];
     49     cmsUInt32Number Intents[4];
     50 
     51     hProfiles[0] = hLab; hProfiles[1] = hProfile; hProfiles[2] = hProfile; hProfiles[3] = hLab;
     52     Intents[0]   = INTENT_RELATIVE_COLORIMETRIC; Intents[1] = nIntent; Intents[2] = INTENT_RELATIVE_COLORIMETRIC; Intents[3] = INTENT_RELATIVE_COLORIMETRIC;
     53 
     54     xform =  cmsCreateExtendedTransform(ContextID, 4, hProfiles, BPC, Intents,
     55         States, NULL, 0, TYPE_Lab_DBL, TYPE_Lab_DBL, cmsFLAGS_NOCACHE|cmsFLAGS_NOOPTIMIZE);
     56 
     57     cmsCloseProfile(hLab);
     58     return xform;
     59 }
     60 
     61 // Use darker colorants to obtain black point. This works in the relative colorimetric intent and
     62 // assumes more ink results in darker colors. No ink limit is assumed.
     63 static
     64 cmsBool  BlackPointAsDarkerColorant(cmsHPROFILE    hInput,
     65                                     cmsUInt32Number Intent,
     66                                     cmsCIEXYZ* BlackPoint,
     67                                     cmsUInt32Number dwFlags)
     68 {
     69     cmsUInt16Number *Black;
     70     cmsHTRANSFORM xform;
     71     cmsColorSpaceSignature Space;
     72     cmsUInt32Number nChannels;
     73     cmsUInt32Number dwFormat;
     74     cmsHPROFILE hLab;
     75     cmsCIELab  Lab;
     76     cmsCIEXYZ  BlackXYZ;
     77     cmsContext ContextID = cmsGetProfileContextID(hInput);
     78 
     79     // If the profile does not support input direction, assume Black point 0
     80     if (!cmsIsIntentSupported(hInput, Intent, LCMS_USED_AS_INPUT)) {
     81 
     82         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
     83         return FALSE;
     84     }
     85 
     86     // Create a formatter which has n channels and floating point
     87     dwFormat = cmsFormatterForColorspaceOfProfile(hInput, 2, FALSE);
     88 
     89    // Try to get black by using black colorant
     90     Space = cmsGetColorSpace(hInput);
     91 
     92     // This function returns darker colorant in 16 bits for several spaces
     93     if (!_cmsEndPointsBySpace(Space, NULL, &Black, &nChannels)) {
     94 
     95         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
     96         return FALSE;
     97     }
     98 
     99     if (nChannels != T_CHANNELS(dwFormat)) {
    100        BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    101        return FALSE;
    102     }
    103 
    104     // Lab will be used as the output space, but lab2 will avoid recursion
    105     hLab = cmsCreateLab2ProfileTHR(ContextID, NULL);
    106     if (hLab == NULL) {
    107        BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    108        return FALSE;
    109     }
    110 
    111     // Create the transform
    112     xform = cmsCreateTransformTHR(ContextID, hInput, dwFormat,
    113                                 hLab, TYPE_Lab_DBL, Intent, cmsFLAGS_NOOPTIMIZE|cmsFLAGS_NOCACHE);
    114     cmsCloseProfile(hLab);
    115 
    116     if (xform == NULL) {
    117 
    118         // Something went wrong. Get rid of open resources and return zero as black
    119         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    120         return FALSE;
    121     }
    122 
    123     // Convert black to Lab
    124     cmsDoTransform(xform, Black, &Lab, 1);
    125 
    126     // Force it to be neutral, clip to max. L* of 50
    127     Lab.a = Lab.b = 0;
    128     if (Lab.L > 50) Lab.L = 50;
    129 
    130     // Free the resources
    131     cmsDeleteTransform(xform);
    132 
    133     // Convert from Lab (which is now clipped) to XYZ.
    134     cmsLab2XYZ(NULL, &BlackXYZ, &Lab);
    135 
    136     if (BlackPoint != NULL)
    137         *BlackPoint = BlackXYZ;
    138 
    139     return TRUE;
    140 
    141     cmsUNUSED_PARAMETER(dwFlags);
    142 }
    143 
    144 // Get a black point of output CMYK profile, discounting any ink-limiting embedded
    145 // in the profile. For doing that, we use perceptual intent in input direction:
    146 // Lab (0, 0, 0) -> [Perceptual] Profile -> CMYK -> [Rel. colorimetric] Profile -> Lab
    147 static
    148 cmsBool BlackPointUsingPerceptualBlack(cmsCIEXYZ* BlackPoint, cmsHPROFILE hProfile)
    149 {
    150     cmsHTRANSFORM hRoundTrip;
    151     cmsCIELab LabIn, LabOut;
    152     cmsCIEXYZ  BlackXYZ;
    153 
    154      // Is the intent supported by the profile?
    155     if (!cmsIsIntentSupported(hProfile, INTENT_PERCEPTUAL, LCMS_USED_AS_INPUT)) {
    156 
    157         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    158         return TRUE;
    159     }
    160 
    161     hRoundTrip = CreateRoundtripXForm(hProfile, INTENT_PERCEPTUAL);
    162     if (hRoundTrip == NULL) {
    163         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    164         return FALSE;
    165     }
    166 
    167     LabIn.L = LabIn.a = LabIn.b = 0;
    168     cmsDoTransform(hRoundTrip, &LabIn, &LabOut, 1);
    169 
    170     // Clip Lab to reasonable limits
    171     if (LabOut.L > 50) LabOut.L = 50;
    172     LabOut.a = LabOut.b = 0;
    173 
    174     cmsDeleteTransform(hRoundTrip);
    175 
    176     // Convert it to XYZ
    177     cmsLab2XYZ(NULL, &BlackXYZ, &LabOut);
    178 
    179     if (BlackPoint != NULL)
    180         *BlackPoint = BlackXYZ;
    181 
    182     return TRUE;
    183 }
    184 
    185 // This function shouldn't exist at all -- there is such quantity of broken
    186 // profiles on black point tag, that we must somehow fix chromaticity to
    187 // avoid huge tint when doing Black point compensation. This function does
    188 // just that. There is a special flag for using black point tag, but turned
    189 // off by default because it is bogus on most profiles. The detection algorithm
    190 // involves to turn BP to neutral and to use only L component.
    191 cmsBool CMSEXPORT cmsDetectBlackPoint(cmsCIEXYZ* BlackPoint, cmsHPROFILE hProfile, cmsUInt32Number Intent, cmsUInt32Number dwFlags)
    192 {
    193     cmsProfileClassSignature devClass;
    194 
    195     // Make sure the device class is adequate
    196     devClass = cmsGetDeviceClass(hProfile);
    197     if (devClass == cmsSigLinkClass ||
    198         devClass == cmsSigAbstractClass ||
    199         devClass == cmsSigNamedColorClass) {
    200             BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    201             return FALSE;
    202     }
    203 
    204     // Make sure intent is adequate
    205     if (Intent != INTENT_PERCEPTUAL &&
    206         Intent != INTENT_RELATIVE_COLORIMETRIC &&
    207         Intent != INTENT_SATURATION) {
    208             BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    209             return FALSE;
    210     }
    211 
    212     // v4 + perceptual & saturation intents does have its own black point, and it is
    213     // well specified enough to use it. Black point tag is deprecated in V4.
    214     if ((cmsGetEncodedICCversion(hProfile) >= 0x4000000) &&
    215         (Intent == INTENT_PERCEPTUAL || Intent == INTENT_SATURATION)) {
    216 
    217             // Matrix shaper share MRC & perceptual intents
    218             if (cmsIsMatrixShaper(hProfile))
    219                 return BlackPointAsDarkerColorant(hProfile, INTENT_RELATIVE_COLORIMETRIC, BlackPoint, 0);
    220 
    221             // Get Perceptual black out of v4 profiles. That is fixed for perceptual & saturation intents
    222             BlackPoint -> X = cmsPERCEPTUAL_BLACK_X;
    223             BlackPoint -> Y = cmsPERCEPTUAL_BLACK_Y;
    224             BlackPoint -> Z = cmsPERCEPTUAL_BLACK_Z;
    225 
    226             return TRUE;
    227     }
    228 
    229 
    230 #ifdef CMS_USE_PROFILE_BLACK_POINT_TAG
    231 
    232     // v2, v4 rel/abs colorimetric
    233     if (cmsIsTag(hProfile, cmsSigMediaBlackPointTag) &&
    234         Intent == INTENT_RELATIVE_COLORIMETRIC) {
    235 
    236             cmsCIEXYZ *BlackPtr, BlackXYZ, UntrustedBlackPoint, TrustedBlackPoint, MediaWhite;
    237             cmsCIELab Lab;
    238 
    239             // If black point is specified, then use it,
    240 
    241             BlackPtr = cmsReadTag(hProfile, cmsSigMediaBlackPointTag);
    242             if (BlackPtr != NULL) {
    243 
    244                 BlackXYZ = *BlackPtr;
    245                 _cmsReadMediaWhitePoint(&MediaWhite, hProfile);
    246 
    247                 // Black point is absolute XYZ, so adapt to D50 to get PCS value
    248                 cmsAdaptToIlluminant(&UntrustedBlackPoint, &MediaWhite, cmsD50_XYZ(), &BlackXYZ);
    249 
    250                 // Force a=b=0 to get rid of any chroma
    251                 cmsXYZ2Lab(NULL, &Lab, &UntrustedBlackPoint);
    252                 Lab.a = Lab.b = 0;
    253                 if (Lab.L > 50) Lab.L = 50; // Clip to L* <= 50
    254                 cmsLab2XYZ(NULL, &TrustedBlackPoint, &Lab);
    255 
    256                 if (BlackPoint != NULL)
    257                     *BlackPoint = TrustedBlackPoint;
    258 
    259                 return TRUE;
    260             }
    261     }
    262 #endif
    263 
    264     // That is about v2 profiles.
    265 
    266     // If output profile, discount ink-limiting and that's all
    267     if (Intent == INTENT_RELATIVE_COLORIMETRIC &&
    268         (cmsGetDeviceClass(hProfile) == cmsSigOutputClass) &&
    269         (cmsGetColorSpace(hProfile)  == cmsSigCmykData))
    270         return BlackPointUsingPerceptualBlack(BlackPoint, hProfile);
    271 
    272     // Nope, compute BP using current intent.
    273     return BlackPointAsDarkerColorant(hProfile, Intent, BlackPoint, dwFlags);
    274 }
    275 
    276 
    277 
    278 // ---------------------------------------------------------------------------------------------------------
    279 
    280 // Least Squares Fit of a Quadratic Curve to Data
    281 // http://www.personal.psu.edu/jhm/f90/lectures/lsq2.html
    282 
    283 static
    284 cmsFloat64Number RootOfLeastSquaresFitQuadraticCurve(int n, cmsFloat64Number x[], cmsFloat64Number y[])
    285 {
    286     double sum_x = 0, sum_x2 = 0, sum_x3 = 0, sum_x4 = 0;
    287     double sum_y = 0, sum_yx = 0, sum_yx2 = 0;
    288     double d, a, b, c;
    289     int i;
    290     cmsMAT3 m;
    291     cmsVEC3 v, res;
    292 
    293     if (n < 4) return 0;
    294 
    295     for (i=0; i < n; i++) {
    296 
    297         double xn = x[i];
    298         double yn = y[i];
    299 
    300         sum_x  += xn;
    301         sum_x2 += xn*xn;
    302         sum_x3 += xn*xn*xn;
    303         sum_x4 += xn*xn*xn*xn;
    304 
    305         sum_y += yn;
    306         sum_yx += yn*xn;
    307         sum_yx2 += yn*xn*xn;
    308     }
    309 
    310     _cmsVEC3init(&m.v[0], n,      sum_x,  sum_x2);
    311     _cmsVEC3init(&m.v[1], sum_x,  sum_x2, sum_x3);
    312     _cmsVEC3init(&m.v[2], sum_x2, sum_x3, sum_x4);
    313 
    314     _cmsVEC3init(&v, sum_y, sum_yx, sum_yx2);
    315 
    316     if (!_cmsMAT3solve(&res, &m, &v)) return 0;
    317 
    318 
    319     a = res.n[2];
    320     b = res.n[1];
    321     c = res.n[0];
    322 
    323     if (fabs(a) < 1.0E-10) {
    324 
    325         return cmsmin(0, cmsmax(50, -c/b ));
    326     }
    327     else {
    328 
    329          d = b*b - 4.0 * a * c;
    330          if (d <= 0) {
    331              return 0;
    332          }
    333          else {
    334 
    335              double rt = (-b + sqrt(d)) / (2.0 * a);
    336 
    337              return cmsmax(0, cmsmin(50, rt));
    338          }
    339    }
    340 
    341 }
    342 
    343 
    344 
    345 // Calculates the black point of a destination profile.
    346 // This algorithm comes from the Adobe paper disclosing its black point compensation method.
    347 cmsBool CMSEXPORT cmsDetectDestinationBlackPoint(cmsCIEXYZ* BlackPoint, cmsHPROFILE hProfile, cmsUInt32Number Intent, cmsUInt32Number dwFlags)
    348 {
    349     cmsColorSpaceSignature ColorSpace;
    350     cmsHTRANSFORM hRoundTrip = NULL;
    351     cmsCIELab InitialLab, destLab, Lab;
    352     cmsFloat64Number inRamp[256], outRamp[256];
    353     cmsFloat64Number MinL, MaxL;
    354     cmsBool NearlyStraightMidrange = TRUE;
    355     cmsFloat64Number yRamp[256];
    356     cmsFloat64Number x[256], y[256];
    357     cmsFloat64Number lo, hi;
    358     int n, l;
    359     cmsProfileClassSignature devClass;
    360 
    361     // Make sure the device class is adequate
    362     devClass = cmsGetDeviceClass(hProfile);
    363     if (devClass == cmsSigLinkClass ||
    364         devClass == cmsSigAbstractClass ||
    365         devClass == cmsSigNamedColorClass) {
    366             BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    367             return FALSE;
    368     }
    369 
    370     // Make sure intent is adequate
    371     if (Intent != INTENT_PERCEPTUAL &&
    372         Intent != INTENT_RELATIVE_COLORIMETRIC &&
    373         Intent != INTENT_SATURATION) {
    374             BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    375             return FALSE;
    376     }
    377 
    378 
    379     // v4 + perceptual & saturation intents does have its own black point, and it is
    380     // well specified enough to use it. Black point tag is deprecated in V4.
    381     if ((cmsGetEncodedICCversion(hProfile) >= 0x4000000) &&
    382         (Intent == INTENT_PERCEPTUAL || Intent == INTENT_SATURATION)) {
    383 
    384             // Matrix shaper share MRC & perceptual intents
    385             if (cmsIsMatrixShaper(hProfile))
    386                 return BlackPointAsDarkerColorant(hProfile, INTENT_RELATIVE_COLORIMETRIC, BlackPoint, 0);
    387 
    388             // Get Perceptual black out of v4 profiles. That is fixed for perceptual & saturation intents
    389             BlackPoint -> X = cmsPERCEPTUAL_BLACK_X;
    390             BlackPoint -> Y = cmsPERCEPTUAL_BLACK_Y;
    391             BlackPoint -> Z = cmsPERCEPTUAL_BLACK_Z;
    392             return TRUE;
    393     }
    394 
    395 
    396     // Check if the profile is lut based and gray, rgb or cmyk (7.2 in Adobe's document)
    397     ColorSpace = cmsGetColorSpace(hProfile);
    398     if (!cmsIsCLUT(hProfile, Intent, LCMS_USED_AS_OUTPUT ) ||
    399         (ColorSpace != cmsSigGrayData &&
    400          ColorSpace != cmsSigRgbData  &&
    401          ColorSpace != cmsSigCmykData)) {
    402 
    403         // In this case, handle as input case
    404         return cmsDetectBlackPoint(BlackPoint, hProfile, Intent, dwFlags);
    405     }
    406 
    407     // It is one of the valid cases!, use Adobe algorithm
    408 
    409 
    410     // Set a first guess, that should work on good profiles.
    411     if (Intent == INTENT_RELATIVE_COLORIMETRIC) {
    412 
    413         cmsCIEXYZ IniXYZ;
    414 
    415         // calculate initial Lab as source black point
    416         if (!cmsDetectBlackPoint(&IniXYZ, hProfile, Intent, dwFlags)) {
    417             return FALSE;
    418         }
    419 
    420         // convert the XYZ to lab
    421         cmsXYZ2Lab(NULL, &InitialLab, &IniXYZ);
    422 
    423     } else {
    424 
    425         // set the initial Lab to zero, that should be the black point for perceptual and saturation
    426         InitialLab.L = 0;
    427         InitialLab.a = 0;
    428         InitialLab.b = 0;
    429     }
    430 
    431 
    432     // Step 2
    433     // ======
    434 
    435     // Create a roundtrip. Define a Transform BT for all x in L*a*b*
    436     hRoundTrip = CreateRoundtripXForm(hProfile, Intent);
    437     if (hRoundTrip == NULL)  return FALSE;
    438 
    439     // Compute ramps
    440 
    441     for (l=0; l < 256; l++) {
    442 
    443         Lab.L = (cmsFloat64Number) (l * 100.0) / 255.0;
    444         Lab.a = cmsmin(50, cmsmax(-50, InitialLab.a));
    445         Lab.b = cmsmin(50, cmsmax(-50, InitialLab.b));
    446 
    447         cmsDoTransform(hRoundTrip, &Lab, &destLab, 1);
    448 
    449         inRamp[l]  = Lab.L;
    450         outRamp[l] = destLab.L;
    451     }
    452 
    453     // Make monotonic
    454     for (l = 254; l > 0; --l) {
    455         outRamp[l] = cmsmin(outRamp[l], outRamp[l+1]);
    456     }
    457 
    458     // Check
    459     if (! (outRamp[0] < outRamp[255])) {
    460 
    461         cmsDeleteTransform(hRoundTrip);
    462         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    463         return FALSE;
    464     }
    465 
    466 
    467     // Test for mid range straight (only on relative colorimetric)
    468     NearlyStraightMidrange = TRUE;
    469     MinL = outRamp[0]; MaxL = outRamp[255];
    470     if (Intent == INTENT_RELATIVE_COLORIMETRIC) {
    471 
    472         for (l=0; l < 256; l++) {
    473 
    474             if (! ((inRamp[l] <= MinL + 0.2 * (MaxL - MinL) ) ||
    475                 (fabs(inRamp[l] - outRamp[l]) < 4.0 )))
    476                 NearlyStraightMidrange = FALSE;
    477         }
    478 
    479         // If the mid range is straight (as determined above) then the
    480         // DestinationBlackPoint shall be the same as initialLab.
    481         // Otherwise, the DestinationBlackPoint shall be determined
    482         // using curve fitting.
    483         if (NearlyStraightMidrange) {
    484 
    485             cmsLab2XYZ(NULL, BlackPoint, &InitialLab);
    486             cmsDeleteTransform(hRoundTrip);
    487             return TRUE;
    488         }
    489     }
    490 
    491 
    492     // curve fitting: The round-trip curve normally looks like a nearly constant section at the black point,
    493     // with a corner and a nearly straight line to the white point.
    494     for (l=0; l < 256; l++) {
    495 
    496         yRamp[l] = (outRamp[l] - MinL) / (MaxL - MinL);
    497     }
    498 
    499     // find the black point using the least squares error quadratic curve fitting
    500     if (Intent == INTENT_RELATIVE_COLORIMETRIC) {
    501         lo = 0.1;
    502         hi = 0.5;
    503     }
    504     else {
    505 
    506         // Perceptual and saturation
    507         lo = 0.03;
    508         hi = 0.25;
    509     }
    510 
    511     // Capture shadow points for the fitting.
    512     n = 0;
    513     for (l=0; l < 256; l++) {
    514 
    515         cmsFloat64Number ff = yRamp[l];
    516 
    517         if (ff >= lo && ff < hi) {
    518             x[n] = inRamp[l];
    519             y[n] = yRamp[l];
    520             n++;
    521         }
    522     }
    523 
    524 
    525     // No suitable points
    526     if (n < 3 ) {
    527         cmsDeleteTransform(hRoundTrip);
    528         BlackPoint -> X = BlackPoint ->Y = BlackPoint -> Z = 0.0;
    529         return FALSE;
    530     }
    531 
    532 
    533     // fit and get the vertex of quadratic curve
    534     Lab.L = RootOfLeastSquaresFitQuadraticCurve(n, x, y);
    535 
    536     if (Lab.L < 0.0) { // clip to zero L* if the vertex is negative
    537         Lab.L = 0;
    538     }
    539 
    540     Lab.a = InitialLab.a;
    541     Lab.b = InitialLab.b;
    542 
    543     cmsLab2XYZ(NULL, BlackPoint, &Lab);
    544 
    545     cmsDeleteTransform(hRoundTrip);
    546     return TRUE;
    547 }
    548