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1 //---------------------------------------------------------------------------------
2 //
3 //  Little Color Management System
4 //  Copyright (c) 1998-2017 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
CreateRoundtripXForm(cmsHPROFILE hProfile,cmsUInt32Number nIntent)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
BlackPointAsDarkerColorant(cmsHPROFILE hInput,cmsUInt32Number Intent,cmsCIEXYZ * BlackPoint,cmsUInt32Number dwFlags)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
BlackPointUsingPerceptualBlack(cmsCIEXYZ * BlackPoint,cmsHPROFILE hProfile)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.
cmsDetectBlackPoint(cmsCIEXYZ * BlackPoint,cmsHPROFILE hProfile,cmsUInt32Number Intent,cmsUInt32Number dwFlags)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
RootOfLeastSquaresFitQuadraticCurve(int n,cmsFloat64Number x[],cmsFloat64Number y[])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.
cmsDetectDestinationBlackPoint(cmsCIEXYZ * BlackPoint,cmsHPROFILE hProfile,cmsUInt32Number Intent,cmsUInt32Number dwFlags)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