1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
|
/*
* This file is part of libplacebo.
*
* libplacebo is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* libplacebo is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with libplacebo. If not, see <http://www.gnu.org/licenses/>.
*/
#include <math.h>
#include "common.h"
#include "pl_thread.h"
#include <libplacebo/gamut_mapping.h>
#define fclampf(x, lo, hi) fminf(fmaxf(x, lo), hi)
static void fix_constants(struct pl_gamut_map_constants *c)
{
c->perceptual_deadzone = fclampf(c->perceptual_deadzone, 0.0f, 1.0f);
c->perceptual_strength = fclampf(c->perceptual_strength, 0.0f, 1.0f);
c->colorimetric_gamma = fclampf(c->colorimetric_gamma, 0.0f, 10.0f);
c->softclip_knee = fclampf(c->softclip_knee, 0.0f, 1.0f);
c->softclip_desat = fclampf(c->softclip_desat, 0.0f, 1.0f);
}
static inline bool constants_equal(const struct pl_gamut_map_constants *a,
const struct pl_gamut_map_constants *b)
{
pl_static_assert(sizeof(*a) % sizeof(float) == 0);
return !memcmp(a, b, sizeof(*a));
}
bool pl_gamut_map_params_equal(const struct pl_gamut_map_params *a,
const struct pl_gamut_map_params *b)
{
return a->function == b->function &&
a->min_luma == b->min_luma &&
a->max_luma == b->max_luma &&
a->lut_size_I == b->lut_size_I &&
a->lut_size_C == b->lut_size_C &&
a->lut_size_h == b->lut_size_h &&
a->lut_stride == b->lut_stride &&
constants_equal(&a->constants, &b->constants) &&
pl_raw_primaries_equal(&a->input_gamut, &b->input_gamut) &&
pl_raw_primaries_equal(&a->output_gamut, &b->output_gamut);
}
#define FUN(params) (params->function ? *params->function : pl_gamut_map_clip)
static void noop(float *lut, const struct pl_gamut_map_params *params);
bool pl_gamut_map_params_noop(const struct pl_gamut_map_params *params)
{
if (FUN(params).map == &noop)
return true;
struct pl_raw_primaries src = params->input_gamut, dst = params->output_gamut;
if (!pl_primaries_compatible(&dst, &src))
return true;
bool need_map = !pl_primaries_superset(&dst, &src);
need_map |= !pl_cie_xy_equal(&src.white, &dst.white);
if (FUN(params).bidirectional)
need_map |= !pl_raw_primaries_equal(&dst, &src);
return !need_map;
}
// For some minimal type safety, and code cleanliness
struct RGB {
float R, G, B;
};
struct IPT {
float I, P, T;
};
struct ICh {
float I, C, h;
};
static inline struct ICh ipt2ich(struct IPT c)
{
return (struct ICh) {
.I = c.I,
.C = sqrtf(c.P * c.P + c.T * c.T),
.h = atan2f(c.T, c.P),
};
}
static inline struct IPT ich2ipt(struct ICh c)
{
return (struct IPT) {
.I = c.I,
.P = c.C * cosf(c.h),
.T = c.C * sinf(c.h),
};
}
static const float PQ_M1 = 2610./4096 * 1./4,
PQ_M2 = 2523./4096 * 128,
PQ_C1 = 3424./4096,
PQ_C2 = 2413./4096 * 32,
PQ_C3 = 2392./4096 * 32;
enum { PQ_LUT_SIZE = 1024 };
static const float pq_eotf_lut[1024+1] = {
0.0000000e+00f, 4.0422718e-09f, 1.3111372e-08f, 2.6236826e-08f, 4.3151495e-08f, 6.3746885e-08f, 8.7982383e-08f, 1.1585362e-07f,
1.4737819e-07f, 1.8258818e-07f, 2.2152586e-07f, 2.6424098e-07f, 3.1078907e-07f, 3.6123021e-07f, 4.1562821e-07f, 4.7405001e-07f,
5.3656521e-07f, 6.0324583e-07f, 6.7416568e-07f, 7.4940095e-07f, 8.2902897e-07f, 9.1312924e-07f, 1.0017822e-06f, 1.0950702e-06f,
1.1930764e-06f, 1.2958861e-06f, 1.4035847e-06f, 1.5162600e-06f, 1.6340000e-06f, 1.7568948e-06f, 1.8850346e-06f, 2.0185119e-06f,
2.1574192e-06f, 2.3018509e-06f, 2.4519029e-06f, 2.6076704e-06f, 2.7692516e-06f, 2.9367449e-06f, 3.1102509e-06f, 3.2898690e-06f,
3.4757019e-06f, 3.6678526e-06f, 3.8664261e-06f, 4.0715262e-06f, 4.2832601e-06f, 4.5017354e-06f, 4.7270617e-06f, 4.9593473e-06f,
5.1987040e-06f, 5.4452441e-06f, 5.6990819e-06f, 5.9603301e-06f, 6.2291055e-06f, 6.5055251e-06f, 6.7897080e-06f, 7.0817717e-06f,
7.3818379e-06f, 7.6900283e-06f, 8.0064675e-06f, 8.3312774e-06f, 8.6645849e-06f, 9.0065169e-06f, 9.3572031e-06f, 9.7167704e-06f,
1.0085351e-05f, 1.0463077e-05f, 1.0850082e-05f, 1.1246501e-05f, 1.1652473e-05f, 1.2068130e-05f, 1.2493614e-05f, 1.2929066e-05f,
1.3374626e-05f, 1.3830439e-05f, 1.4296648e-05f, 1.4773401e-05f, 1.5260848e-05f, 1.5759132e-05f, 1.6268405e-05f, 1.6788821e-05f,
1.7320534e-05f, 1.7863697e-05f, 1.8418467e-05f, 1.8985004e-05f, 1.9563470e-05f, 2.0154019e-05f, 2.0756818e-05f, 2.1372031e-05f,
2.1999824e-05f, 2.2640365e-05f, 2.3293824e-05f, 2.3960372e-05f, 2.4640186e-05f, 2.5333431e-05f, 2.6040288e-05f, 2.6760935e-05f,
2.7495552e-05f, 2.8244319e-05f, 2.9007421e-05f, 2.9785041e-05f, 3.0577373e-05f, 3.1384594e-05f, 3.2206899e-05f, 3.3044481e-05f,
3.3897533e-05f, 3.4766253e-05f, 3.5650838e-05f, 3.6551487e-05f, 3.7468409e-05f, 3.8401794e-05f, 3.9351855e-05f, 4.0318799e-05f,
4.1302836e-05f, 4.2304177e-05f, 4.3323036e-05f, 4.4359629e-05f, 4.5414181e-05f, 4.6486897e-05f, 4.7578006e-05f, 4.8687732e-05f,
4.9816302e-05f, 5.0963944e-05f, 5.2130889e-05f, 5.3317369e-05f, 5.4523628e-05f, 5.5749886e-05f, 5.6996391e-05f, 5.8263384e-05f,
5.9551111e-05f, 6.0859816e-05f, 6.2189750e-05f, 6.3541162e-05f, 6.4914307e-05f, 6.6309439e-05f, 6.7726819e-05f, 6.9166705e-05f,
7.0629384e-05f, 7.2115077e-05f, 7.3624074e-05f, 7.5156646e-05f, 7.6713065e-05f, 7.8293608e-05f, 7.9898553e-05f, 8.1528181e-05f,
8.3182776e-05f, 8.4862623e-05f, 8.6568012e-05f, 8.8299235e-05f, 9.0056585e-05f, 9.1840360e-05f, 9.3650860e-05f, 9.5488388e-05f,
9.7353277e-05f, 9.9245779e-05f, 1.0116623e-04f, 1.0311496e-04f, 1.0509226e-04f, 1.0709847e-04f, 1.0913391e-04f, 1.1119889e-04f,
1.1329376e-04f, 1.1541885e-04f, 1.1757448e-04f, 1.1976100e-04f, 1.2197875e-04f, 1.2422807e-04f, 1.2650931e-04f, 1.2882282e-04f,
1.3116900e-04f, 1.3354812e-04f, 1.3596059e-04f, 1.3840676e-04f, 1.4088701e-04f, 1.4340170e-04f, 1.4595121e-04f, 1.4853593e-04f,
1.5115622e-04f, 1.5381247e-04f, 1.5650507e-04f, 1.5923442e-04f, 1.6200090e-04f, 1.6480492e-04f, 1.6764688e-04f, 1.7052718e-04f,
1.7344629e-04f, 1.7640451e-04f, 1.7940233e-04f, 1.8244015e-04f, 1.8551840e-04f, 1.8863752e-04f, 1.9179792e-04f, 1.9500006e-04f,
1.9824437e-04f, 2.0153130e-04f, 2.0486129e-04f, 2.0823479e-04f, 2.1165227e-04f, 2.1511419e-04f, 2.1862101e-04f, 2.2217319e-04f,
2.2577128e-04f, 2.2941563e-04f, 2.3310679e-04f, 2.3684523e-04f, 2.4063146e-04f, 2.4446597e-04f, 2.4834925e-04f, 2.5228182e-04f,
2.5626417e-04f, 2.6029683e-04f, 2.6438031e-04f, 2.6851514e-04f, 2.7270184e-04f, 2.7694094e-04f, 2.8123299e-04f, 2.8557852e-04f,
2.8997815e-04f, 2.9443230e-04f, 2.9894159e-04f, 3.0350657e-04f, 3.0812783e-04f, 3.1280593e-04f, 3.1754144e-04f, 3.2233495e-04f,
3.2718705e-04f, 3.3209833e-04f, 3.3706938e-04f, 3.4210082e-04f, 3.4719324e-04f, 3.5234727e-04f, 3.5756351e-04f, 3.6284261e-04f,
3.6818526e-04f, 3.7359195e-04f, 3.7906340e-04f, 3.8460024e-04f, 3.9020315e-04f, 3.9587277e-04f, 4.0160977e-04f, 4.0741483e-04f,
4.1328861e-04f, 4.1923181e-04f, 4.2524511e-04f, 4.3132921e-04f, 4.3748480e-04f, 4.4371260e-04f, 4.5001332e-04f, 4.5638768e-04f,
4.6283650e-04f, 4.6936032e-04f, 4.7595999e-04f, 4.8263624e-04f, 4.8938982e-04f, 4.9622151e-04f, 5.0313205e-04f, 5.1012223e-04f,
5.1719283e-04f, 5.2434463e-04f, 5.3157843e-04f, 5.3889502e-04f, 5.4629521e-04f, 5.5377982e-04f, 5.6134968e-04f, 5.6900560e-04f,
5.7674843e-04f, 5.8457900e-04f, 5.9249818e-04f, 6.0050682e-04f, 6.0860578e-04f, 6.1679595e-04f, 6.2507819e-04f, 6.3345341e-04f,
6.4192275e-04f, 6.5048661e-04f, 6.5914616e-04f, 6.6790231e-04f, 6.7675600e-04f, 6.8570816e-04f, 6.9475975e-04f, 7.0391171e-04f,
7.1316500e-04f, 7.2252060e-04f, 7.3197948e-04f, 7.4154264e-04f, 7.5121107e-04f, 7.6098577e-04f, 7.7086777e-04f, 7.8085807e-04f,
7.9095772e-04f, 8.0116775e-04f, 8.1148922e-04f, 8.2192318e-04f, 8.3247071e-04f, 8.4313287e-04f, 8.5391076e-04f, 8.6480548e-04f,
8.7581812e-04f, 8.8694982e-04f, 8.9820168e-04f, 9.0957485e-04f, 9.2107048e-04f, 9.3268971e-04f, 9.4443372e-04f, 9.5630368e-04f,
9.6830115e-04f, 9.8042658e-04f, 9.9268155e-04f, 1.0050673e-03f, 1.0175850e-03f, 1.0302359e-03f, 1.0430213e-03f, 1.0559425e-03f,
1.0690006e-03f, 1.0821970e-03f, 1.0955331e-03f, 1.1090100e-03f, 1.1226290e-03f, 1.1363917e-03f, 1.1502992e-03f, 1.1643529e-03f,
1.1785542e-03f, 1.1929044e-03f, 1.2074050e-03f, 1.2220573e-03f, 1.2368628e-03f, 1.2518229e-03f, 1.2669390e-03f, 1.2822125e-03f,
1.2976449e-03f, 1.3132377e-03f, 1.3289925e-03f, 1.3449105e-03f, 1.3609935e-03f, 1.3772429e-03f, 1.3936602e-03f, 1.4102470e-03f,
1.4270054e-03f, 1.4439360e-03f, 1.4610407e-03f, 1.4783214e-03f, 1.4957794e-03f, 1.5134166e-03f, 1.5312345e-03f, 1.5492348e-03f,
1.5674192e-03f, 1.5857894e-03f, 1.6043471e-03f, 1.6230939e-03f, 1.6420317e-03f, 1.6611622e-03f, 1.6804871e-03f, 1.7000083e-03f,
1.7197275e-03f, 1.7396465e-03f, 1.7597672e-03f, 1.7800914e-03f, 1.8006210e-03f, 1.8213578e-03f, 1.8423038e-03f, 1.8634608e-03f,
1.8848308e-03f, 1.9064157e-03f, 1.9282175e-03f, 1.9502381e-03f, 1.9724796e-03f, 1.9949439e-03f, 2.0176331e-03f, 2.0405492e-03f,
2.0636950e-03f, 2.0870711e-03f, 2.1106805e-03f, 2.1345250e-03f, 2.1586071e-03f, 2.1829286e-03f, 2.2074919e-03f, 2.2322992e-03f,
2.2573525e-03f, 2.2826542e-03f, 2.3082066e-03f, 2.3340118e-03f, 2.3600721e-03f, 2.3863900e-03f, 2.4129676e-03f, 2.4398074e-03f,
2.4669117e-03f, 2.4942828e-03f, 2.5219233e-03f, 2.5498355e-03f, 2.5780219e-03f, 2.6064849e-03f, 2.6352271e-03f, 2.6642509e-03f,
2.6935589e-03f, 2.7231536e-03f, 2.7530377e-03f, 2.7832137e-03f, 2.8136843e-03f, 2.8444520e-03f, 2.8755196e-03f, 2.9068898e-03f,
2.9385662e-03f, 2.9705496e-03f, 3.0028439e-03f, 3.0354517e-03f, 3.0683758e-03f, 3.1016192e-03f, 3.1351846e-03f, 3.1690750e-03f,
3.2032932e-03f, 3.2378422e-03f, 3.2727250e-03f, 3.3079445e-03f, 3.3435038e-03f, 3.3794058e-03f, 3.4156537e-03f, 3.4522505e-03f,
3.4891993e-03f, 3.5265034e-03f, 3.5641658e-03f, 3.6021897e-03f, 3.6405785e-03f, 3.6793353e-03f, 3.7184634e-03f, 3.7579661e-03f,
3.7978468e-03f, 3.8381088e-03f, 3.8787555e-03f, 3.9197904e-03f, 3.9612169e-03f, 4.0030385e-03f, 4.0452587e-03f, 4.0878810e-03f,
4.1309104e-03f, 4.1743478e-03f, 4.2181981e-03f, 4.2624651e-03f, 4.3071525e-03f, 4.3522639e-03f, 4.3978031e-03f, 4.4437739e-03f,
4.4901803e-03f, 4.5370259e-03f, 4.5843148e-03f, 4.6320508e-03f, 4.6802379e-03f, 4.7288801e-03f, 4.7779815e-03f, 4.8275461e-03f,
4.8775780e-03f, 4.9280813e-03f, 4.9790603e-03f, 5.0305191e-03f, 5.0824620e-03f, 5.1348933e-03f, 5.1878172e-03f, 5.2412382e-03f,
5.2951607e-03f, 5.3495890e-03f, 5.4045276e-03f, 5.4599811e-03f, 5.5159540e-03f, 5.5724510e-03f, 5.6294765e-03f, 5.6870353e-03f,
5.7451339e-03f, 5.8037735e-03f, 5.8629606e-03f, 5.9227001e-03f, 5.9829968e-03f, 6.0438557e-03f, 6.1052818e-03f, 6.1672799e-03f,
6.2298552e-03f, 6.2930128e-03f, 6.3567578e-03f, 6.4210953e-03f, 6.4860306e-03f, 6.5515690e-03f, 6.6177157e-03f, 6.6844762e-03f,
6.7518558e-03f, 6.8198599e-03f, 6.8884942e-03f, 6.9577641e-03f, 7.0276752e-03f, 7.0982332e-03f, 7.1694438e-03f, 7.2413127e-03f,
7.3138457e-03f, 7.3870486e-03f, 7.4609273e-03f, 7.5354878e-03f, 7.6107361e-03f, 7.6866782e-03f, 7.7633203e-03f, 7.8406684e-03f,
7.9187312e-03f, 7.9975101e-03f, 8.0770139e-03f, 8.1572490e-03f, 8.2382216e-03f, 8.3199385e-03f, 8.4024059e-03f, 8.4856307e-03f,
8.5696193e-03f, 8.6543786e-03f, 8.7399153e-03f, 8.8262362e-03f, 8.9133482e-03f, 9.0012582e-03f, 9.0899733e-03f, 9.1795005e-03f,
9.2698470e-03f, 9.3610199e-03f, 9.4530265e-03f, 9.5458741e-03f, 9.6395701e-03f, 9.7341219e-03f, 9.8295370e-03f, 9.9258231e-03f,
1.0022988e-02f, 1.0121039e-02f, 1.0219984e-02f, 1.0319830e-02f, 1.0420587e-02f, 1.0522261e-02f, 1.0624862e-02f, 1.0728396e-02f,
1.0832872e-02f, 1.0938299e-02f, 1.1044684e-02f, 1.1152036e-02f, 1.1260365e-02f, 1.1369677e-02f, 1.1479982e-02f, 1.1591288e-02f,
1.1703605e-02f, 1.1816941e-02f, 1.1931305e-02f, 1.2046706e-02f, 1.2163153e-02f, 1.2280656e-02f, 1.2399223e-02f, 1.2518864e-02f,
1.2639596e-02f, 1.2761413e-02f, 1.2884333e-02f, 1.3008365e-02f, 1.3133519e-02f, 1.3259804e-02f, 1.3387231e-02f, 1.3515809e-02f,
1.3645549e-02f, 1.3776461e-02f, 1.3908555e-02f, 1.4041841e-02f, 1.4176331e-02f, 1.4312034e-02f, 1.4448961e-02f, 1.4587123e-02f,
1.4726530e-02f, 1.4867194e-02f, 1.5009126e-02f, 1.5152336e-02f, 1.5296837e-02f, 1.5442638e-02f, 1.5589753e-02f, 1.5738191e-02f,
1.5887965e-02f, 1.6039087e-02f, 1.6191567e-02f, 1.6345419e-02f, 1.6500655e-02f, 1.6657285e-02f, 1.6815323e-02f, 1.6974781e-02f,
1.7135672e-02f, 1.7298007e-02f, 1.7461800e-02f, 1.7627063e-02f, 1.7793810e-02f, 1.7962053e-02f, 1.8131805e-02f, 1.8303080e-02f,
1.8475891e-02f, 1.8650252e-02f, 1.8826176e-02f, 1.9003676e-02f, 1.9182767e-02f, 1.9363463e-02f, 1.9545777e-02f, 1.9729724e-02f,
1.9915319e-02f, 2.0102575e-02f, 2.0291507e-02f, 2.0482131e-02f, 2.0674460e-02f, 2.0868510e-02f, 2.1064296e-02f, 2.1261833e-02f,
2.1461136e-02f, 2.1662222e-02f, 2.1865105e-02f, 2.2069802e-02f, 2.2276328e-02f, 2.2484700e-02f, 2.2694934e-02f, 2.2907045e-02f,
2.3121064e-02f, 2.3336982e-02f, 2.3554827e-02f, 2.3774618e-02f, 2.3996370e-02f, 2.4220102e-02f, 2.4445831e-02f, 2.4673574e-02f,
2.4903349e-02f, 2.5135174e-02f, 2.5369067e-02f, 2.5605046e-02f, 2.5843129e-02f, 2.6083336e-02f, 2.6325684e-02f, 2.6570192e-02f,
2.6816880e-02f, 2.7065767e-02f, 2.7316872e-02f, 2.7570215e-02f, 2.7825815e-02f, 2.8083692e-02f, 2.8343867e-02f, 2.8606359e-02f,
2.8871189e-02f, 2.9138378e-02f, 2.9407946e-02f, 2.9679914e-02f, 2.9954304e-02f, 3.0231137e-02f, 3.0510434e-02f, 3.0792217e-02f,
3.1076508e-02f, 3.1363330e-02f, 3.1652704e-02f, 3.1944653e-02f, 3.2239199e-02f, 3.2536367e-02f, 3.2836178e-02f, 3.3138657e-02f,
3.3443826e-02f, 3.3751710e-02f, 3.4062333e-02f, 3.4375718e-02f, 3.4691890e-02f, 3.5010874e-02f, 3.5332694e-02f, 3.5657377e-02f,
3.5984946e-02f, 3.6315428e-02f, 3.6648848e-02f, 3.6985233e-02f, 3.7324608e-02f, 3.7667000e-02f, 3.8012436e-02f, 3.8360942e-02f,
3.8712547e-02f, 3.9067276e-02f, 3.9425159e-02f, 3.9786223e-02f, 4.0150496e-02f, 4.0518006e-02f, 4.0888783e-02f, 4.1262855e-02f,
4.1640274e-02f, 4.2021025e-02f, 4.2405159e-02f, 4.2792707e-02f, 4.3183699e-02f, 4.3578166e-02f, 4.3976138e-02f, 4.4377647e-02f,
4.4782724e-02f, 4.5191401e-02f, 4.5603709e-02f, 4.6019681e-02f, 4.6439350e-02f, 4.6862749e-02f, 4.7289910e-02f, 4.7720867e-02f,
4.8155654e-02f, 4.8594305e-02f, 4.9036854e-02f, 4.9483336e-02f, 4.9933787e-02f, 5.0388240e-02f, 5.0846733e-02f, 5.1309301e-02f,
5.1775981e-02f, 5.2246808e-02f, 5.2721821e-02f, 5.3201056e-02f, 5.3684551e-02f, 5.4172344e-02f, 5.4664473e-02f, 5.5160978e-02f,
5.5661897e-02f, 5.6167269e-02f, 5.6677135e-02f, 5.7191535e-02f, 5.7710508e-02f, 5.8234097e-02f, 5.8762342e-02f, 5.9295285e-02f,
5.9832968e-02f, 6.0375433e-02f, 6.0922723e-02f, 6.1474882e-02f, 6.2031952e-02f, 6.2593979e-02f, 6.3161006e-02f, 6.3733078e-02f,
6.4310241e-02f, 6.4892540e-02f, 6.5480021e-02f, 6.6072730e-02f, 6.6670715e-02f, 6.7274023e-02f, 6.7882702e-02f, 6.8496800e-02f,
6.9116365e-02f, 6.9741447e-02f, 7.0372096e-02f, 7.1008361e-02f, 7.1650293e-02f, 7.2297942e-02f, 7.2951361e-02f, 7.3610602e-02f,
7.4275756e-02f, 7.4946797e-02f, 7.5623818e-02f, 7.6306873e-02f, 7.6996016e-02f, 7.7691302e-02f, 7.8392787e-02f, 7.9100526e-02f,
7.9814576e-02f, 8.0534993e-02f, 8.1261837e-02f, 8.1995163e-02f, 8.2735032e-02f, 8.3481501e-02f, 8.4234632e-02f, 8.4994483e-02f,
8.5761116e-02f, 8.6534592e-02f, 8.7314974e-02f, 8.8102323e-02f, 8.8896702e-02f, 8.9698176e-02f, 9.0506809e-02f, 9.1322665e-02f,
9.2145810e-02f, 9.2976310e-02f, 9.3814232e-02f, 9.4659643e-02f, 9.5512612e-02f, 9.6373206e-02f, 9.7241496e-02f, 9.8117550e-02f,
9.9001441e-02f, 9.9893238e-02f, 1.0079301e-01f, 1.0170084e-01f, 1.0261679e-01f, 1.0354094e-01f, 1.0447337e-01f, 1.0541414e-01f,
1.0636334e-01f, 1.0732104e-01f, 1.0828731e-01f, 1.0926225e-01f, 1.1024592e-01f, 1.1123841e-01f, 1.1223979e-01f, 1.1325016e-01f,
1.1426958e-01f, 1.1529814e-01f, 1.1633594e-01f, 1.1738304e-01f, 1.1843954e-01f, 1.1950552e-01f, 1.2058107e-01f, 1.2166627e-01f,
1.2276122e-01f, 1.2386601e-01f, 1.2498072e-01f, 1.2610544e-01f, 1.2724027e-01f, 1.2838531e-01f, 1.2954063e-01f, 1.3070635e-01f,
1.3188262e-01f, 1.3306940e-01f, 1.3426686e-01f, 1.3547509e-01f, 1.3669420e-01f, 1.3792428e-01f, 1.3916544e-01f, 1.4041778e-01f,
1.4168140e-01f, 1.4295640e-01f, 1.4424289e-01f, 1.4554098e-01f, 1.4685078e-01f, 1.4817238e-01f, 1.4950591e-01f, 1.5085147e-01f,
1.5220916e-01f, 1.5357912e-01f, 1.5496144e-01f, 1.5635624e-01f, 1.5776364e-01f, 1.5918375e-01f, 1.6061670e-01f, 1.6206260e-01f,
1.6352156e-01f, 1.6499372e-01f, 1.6647920e-01f, 1.6797811e-01f, 1.6949059e-01f, 1.7101676e-01f, 1.7255674e-01f, 1.7411067e-01f,
1.7567867e-01f, 1.7726087e-01f, 1.7885742e-01f, 1.8046844e-01f, 1.8209406e-01f, 1.8373443e-01f, 1.8538967e-01f, 1.8705994e-01f,
1.8874536e-01f, 1.9044608e-01f, 1.9216225e-01f, 1.9389401e-01f, 1.9564150e-01f, 1.9740486e-01f, 1.9918426e-01f, 2.0097984e-01f,
2.0279175e-01f, 2.0462014e-01f, 2.0646517e-01f, 2.0832699e-01f, 2.1020577e-01f, 2.1210165e-01f, 2.1401481e-01f, 2.1594540e-01f,
2.1789359e-01f, 2.1985954e-01f, 2.2184342e-01f, 2.2384540e-01f, 2.2586565e-01f, 2.2790434e-01f, 2.2996165e-01f, 2.3203774e-01f,
2.3413293e-01f, 2.3624714e-01f, 2.3838068e-01f, 2.4053372e-01f, 2.4270646e-01f, 2.4489908e-01f, 2.4711177e-01f, 2.4934471e-01f,
2.5159811e-01f, 2.5387214e-01f, 2.5616702e-01f, 2.5848293e-01f, 2.6082007e-01f, 2.6317866e-01f, 2.6555888e-01f, 2.6796095e-01f,
2.7038507e-01f, 2.7283145e-01f, 2.7530031e-01f, 2.7779186e-01f, 2.8030631e-01f, 2.8284388e-01f, 2.8540479e-01f, 2.8798927e-01f,
2.9059754e-01f, 2.9322983e-01f, 2.9588635e-01f, 2.9856736e-01f, 3.0127308e-01f, 3.0400374e-01f, 3.0675959e-01f, 3.0954086e-01f,
3.1234780e-01f, 3.1518066e-01f, 3.1803969e-01f, 3.2092512e-01f, 3.2383723e-01f, 3.2677625e-01f, 3.2974246e-01f, 3.3273611e-01f,
3.3575747e-01f, 3.3880680e-01f, 3.4188437e-01f, 3.4499045e-01f, 3.4812533e-01f, 3.5128926e-01f, 3.5448255e-01f, 3.5770546e-01f,
3.6095828e-01f, 3.6424131e-01f, 3.6755483e-01f, 3.7089914e-01f, 3.7427454e-01f, 3.7768132e-01f, 3.8111979e-01f, 3.8459027e-01f,
3.8809304e-01f, 3.9162844e-01f, 3.9519678e-01f, 3.9879837e-01f, 4.0243354e-01f, 4.0610261e-01f, 4.0980592e-01f, 4.1354380e-01f,
4.1731681e-01f, 4.2112483e-01f, 4.2496844e-01f, 4.2884798e-01f, 4.3276381e-01f, 4.3671627e-01f, 4.4070572e-01f, 4.4473253e-01f,
4.4879706e-01f, 4.5289968e-01f, 4.5704076e-01f, 4.6122068e-01f, 4.6543981e-01f, 4.6969854e-01f, 4.7399727e-01f, 4.7833637e-01f,
4.8271625e-01f, 4.8713731e-01f, 4.9159995e-01f, 4.9610458e-01f, 5.0065162e-01f, 5.0524147e-01f, 5.0987457e-01f, 5.1455133e-01f,
5.1927219e-01f, 5.2403759e-01f, 5.2884795e-01f, 5.3370373e-01f, 5.3860537e-01f, 5.4355333e-01f, 5.4854807e-01f, 5.5359004e-01f,
5.5867972e-01f, 5.6381757e-01f, 5.6900408e-01f, 5.7423972e-01f, 5.7952499e-01f, 5.8486037e-01f, 5.9024637e-01f, 5.9568349e-01f,
6.0117223e-01f, 6.0671311e-01f, 6.1230664e-01f, 6.1795336e-01f, 6.2365379e-01f, 6.2940847e-01f, 6.3521793e-01f, 6.4108273e-01f,
6.4700342e-01f, 6.5298056e-01f, 6.5901471e-01f, 6.6510643e-01f, 6.7125632e-01f, 6.7746495e-01f, 6.8373290e-01f, 6.9006078e-01f,
6.9644918e-01f, 7.0289872e-01f, 7.0941001e-01f, 7.1598366e-01f, 7.2262031e-01f, 7.2932059e-01f, 7.3608513e-01f, 7.4291460e-01f,
7.4981006e-01f, 7.5677134e-01f, 7.6379952e-01f, 7.7089527e-01f, 7.7805929e-01f, 7.8529226e-01f, 7.9259489e-01f, 7.9996786e-01f,
8.0741191e-01f, 8.1492774e-01f, 8.2251609e-01f, 8.3017769e-01f, 8.3791329e-01f, 8.4572364e-01f, 8.5360950e-01f, 8.6157163e-01f,
8.6961082e-01f, 8.7772786e-01f, 8.8592352e-01f, 8.9419862e-01f, 9.0255397e-01f, 9.1099038e-01f, 9.1950869e-01f, 9.2810973e-01f,
9.3679435e-01f, 9.4556340e-01f, 9.5441776e-01f, 9.6335829e-01f, 9.7238588e-01f, 9.8150143e-01f, 9.9070583e-01f, 1.0000000e+00f,
1.0f, // extra padding to avoid out of bounds access
};
static inline float pq_eotf(float x)
{
float idxf = fminf(fmaxf(x, 0.0f), 1.0f) * (PQ_LUT_SIZE - 1);
int ipart = floorf(idxf);
float fpart = idxf - ipart;
return PL_MIX(pq_eotf_lut[ipart], pq_eotf_lut[ipart + 1], fpart);
}
static inline float pq_oetf(float x)
{
x = powf(fmaxf(x, 0.0f), PQ_M1);
x = (PQ_C1 + PQ_C2 * x) / (1.0f + PQ_C3 * x);
return powf(x, PQ_M2);
}
// Helper struct containing pre-computed cached values describing a gamut
struct gamut {
pl_matrix3x3 lms2rgb;
pl_matrix3x3 rgb2lms;
float min_luma, max_luma; // pq
float min_rgb, max_rgb; // 10k normalized
struct ICh *peak_cache; // 1-item cache for computed peaks (per hue)
};
struct cache {
struct ICh src_cache;
struct ICh dst_cache;
};
static void get_gamuts(struct gamut *dst, struct gamut *src, struct cache *cache,
const struct pl_gamut_map_params *params)
{
const float epsilon = 1e-6;
memset(cache, 0, sizeof(*cache));
struct gamut base = {
.min_luma = params->min_luma,
.max_luma = params->max_luma,
.min_rgb = pq_eotf(params->min_luma) - epsilon,
.max_rgb = pq_eotf(params->max_luma) + epsilon,
};
if (dst) {
*dst = base;
dst->lms2rgb = dst->rgb2lms = pl_ipt_rgb2lms(¶ms->output_gamut);
dst->peak_cache = &cache->dst_cache;
pl_matrix3x3_invert(&dst->lms2rgb);
}
if (src) {
*src = base;
src->lms2rgb = src->rgb2lms = pl_ipt_rgb2lms(¶ms->input_gamut);
src->peak_cache = &cache->src_cache;
pl_matrix3x3_invert(&src->lms2rgb);
}
}
static inline struct IPT rgb2ipt(struct RGB c, struct gamut gamut)
{
const float L = gamut.rgb2lms.m[0][0] * c.R +
gamut.rgb2lms.m[0][1] * c.G +
gamut.rgb2lms.m[0][2] * c.B;
const float M = gamut.rgb2lms.m[1][0] * c.R +
gamut.rgb2lms.m[1][1] * c.G +
gamut.rgb2lms.m[1][2] * c.B;
const float S = gamut.rgb2lms.m[2][0] * c.R +
gamut.rgb2lms.m[2][1] * c.G +
gamut.rgb2lms.m[2][2] * c.B;
const float Lp = pq_oetf(L);
const float Mp = pq_oetf(M);
const float Sp = pq_oetf(S);
return (struct IPT) {
.I = 0.4000f * Lp + 0.4000f * Mp + 0.2000f * Sp,
.P = 4.4550f * Lp - 4.8510f * Mp + 0.3960f * Sp,
.T = 0.8056f * Lp + 0.3572f * Mp - 1.1628f * Sp,
};
}
static inline struct RGB ipt2rgb(struct IPT c, struct gamut gamut)
{
const float Lp = c.I + 0.0975689f * c.P + 0.205226f * c.T;
const float Mp = c.I - 0.1138760f * c.P + 0.133217f * c.T;
const float Sp = c.I + 0.0326151f * c.P - 0.676887f * c.T;
const float L = pq_eotf(Lp);
const float M = pq_eotf(Mp);
const float S = pq_eotf(Sp);
return (struct RGB) {
.R = gamut.lms2rgb.m[0][0] * L +
gamut.lms2rgb.m[0][1] * M +
gamut.lms2rgb.m[0][2] * S,
.G = gamut.lms2rgb.m[1][0] * L +
gamut.lms2rgb.m[1][1] * M +
gamut.lms2rgb.m[1][2] * S,
.B = gamut.lms2rgb.m[2][0] * L +
gamut.lms2rgb.m[2][1] * M +
gamut.lms2rgb.m[2][2] * S,
};
}
static inline bool ingamut(struct IPT c, struct gamut gamut)
{
const float Lp = c.I + 0.0975689f * c.P + 0.205226f * c.T;
const float Mp = c.I - 0.1138760f * c.P + 0.133217f * c.T;
const float Sp = c.I + 0.0326151f * c.P - 0.676887f * c.T;
if (Lp < gamut.min_luma || Lp > gamut.max_luma ||
Mp < gamut.min_luma || Mp > gamut.max_luma ||
Sp < gamut.min_luma || Sp > gamut.max_luma)
{
// Early exit for values outside legal LMS range
return false;
}
const float L = pq_eotf(Lp);
const float M = pq_eotf(Mp);
const float S = pq_eotf(Sp);
struct RGB rgb = {
.R = gamut.lms2rgb.m[0][0] * L +
gamut.lms2rgb.m[0][1] * M +
gamut.lms2rgb.m[0][2] * S,
.G = gamut.lms2rgb.m[1][0] * L +
gamut.lms2rgb.m[1][1] * M +
gamut.lms2rgb.m[1][2] * S,
.B = gamut.lms2rgb.m[2][0] * L +
gamut.lms2rgb.m[2][1] * M +
gamut.lms2rgb.m[2][2] * S,
};
return rgb.R >= gamut.min_rgb && rgb.R <= gamut.max_rgb &&
rgb.G >= gamut.min_rgb && rgb.G <= gamut.max_rgb &&
rgb.B >= gamut.min_rgb && rgb.B <= gamut.max_rgb;
}
struct generate_args {
const struct pl_gamut_map_params *params;
float *out;
int start;
int count;
};
static PL_THREAD_VOID generate(void *priv)
{
const struct generate_args *args = priv;
const struct pl_gamut_map_params *params = args->params;
float *in = args->out;
const int end = args->start + args->count;
for (int h = args->start; h < end; h++) {
for (int C = 0; C < params->lut_size_C; C++) {
for (int I = 0; I < params->lut_size_I; I++) {
float Ix = (float) I / (params->lut_size_I - 1);
float Cx = (float) C / (params->lut_size_C - 1);
float hx = (float) h / (params->lut_size_h - 1);
struct IPT ipt = ich2ipt((struct ICh) {
.I = PL_MIX(params->min_luma, params->max_luma, Ix),
.C = PL_MIX(0.0f, 0.5f, Cx),
.h = PL_MIX(-M_PI, M_PI, hx),
});
in[0] = ipt.I;
in[1] = ipt.P;
in[2] = ipt.T;
in += params->lut_stride;
}
}
}
struct pl_gamut_map_params fixed = *params;
fix_constants(&fixed.constants);
fixed.lut_size_h = args->count;
FUN(params).map(args->out, &fixed);
PL_THREAD_RETURN();
}
void pl_gamut_map_generate(float *out, const struct pl_gamut_map_params *params)
{
enum { MAX_WORKERS = 32 };
struct generate_args args[MAX_WORKERS];
const int num_per_worker = PL_DIV_UP(params->lut_size_h, MAX_WORKERS);
const int num_workers = PL_DIV_UP(params->lut_size_h, num_per_worker);
for (int i = 0; i < num_workers; i++) {
const int start = i * num_per_worker;
const int count = PL_MIN(num_per_worker, params->lut_size_h - start);
args[i] = (struct generate_args) {
.params = params,
.out = out,
.start = start,
.count = count,
};
out += count * params->lut_size_C * params->lut_size_I * params->lut_stride;
}
pl_thread workers[MAX_WORKERS] = {0};
for (int i = 0; i < num_workers; i++) {
if (pl_thread_create(&workers[i], generate, &args[i]) != 0)
generate(&args[i]); // fallback
}
for (int i = 0; i < num_workers; i++) {
if (!workers[i])
continue;
if (pl_thread_join(workers[i]) != 0)
generate(&args[i]); // fallback
}
}
void pl_gamut_map_sample(float x[3], const struct pl_gamut_map_params *params)
{
struct pl_gamut_map_params fixed = *params;
fix_constants(&fixed.constants);
fixed.lut_size_I = fixed.lut_size_C = fixed.lut_size_h = 1;
fixed.lut_stride = 3;
FUN(params).map(x, &fixed);
}
#define LUT_SIZE(p) (p->lut_size_I * p->lut_size_C * p->lut_size_h * p->lut_stride)
#define FOREACH_LUT(lut, C) \
for (struct IPT *_i = (struct IPT *) lut, \
*_end = (struct IPT *) (lut + LUT_SIZE(params)), \
C; \
_i < _end && ( C = *_i, 1 ); \
*_i = C, _i = (struct IPT *) ((float *) _i + params->lut_stride))
// Something like PL_MIX(base, c, x) but follows an exponential curve, note
// that this can be used to extend 'c' outwards for x > 1
static inline struct ICh mix_exp(struct ICh c, float x, float gamma, float base)
{
return (struct ICh) {
.I = base + (c.I - base) * powf(x, gamma),
.C = c.C * x,
.h = c.h,
};
}
// Drop gamma for colors approaching black and achromatic to avoid numerical
// instabilities, and excessive brightness boosting of grain, while also
// strongly boosting gamma for values exceeding the target peak
static inline float scale_gamma(float gamma, struct ICh ich, struct ICh peak,
struct gamut gamut)
{
const float Imin = gamut.min_luma;
const float Irel = fmaxf((ich.I - Imin) / (peak.I - Imin), 0.0f);
return gamma * powf(Irel, 3) * fminf(ich.C / peak.C, 1.0f);
}
static const float maxDelta = 5e-5f;
// Find gamut intersection using specified bounds
static inline struct ICh
desat_bounded(float I, float h, float Cmin, float Cmax, struct gamut gamut)
{
if (I <= gamut.min_luma)
return (struct ICh) { .I = gamut.min_luma, .C = 0, .h = h };
if (I >= gamut.max_luma)
return (struct ICh) { .I = gamut.max_luma, .C = 0, .h = h };
const float maxDI = I * maxDelta;
struct ICh res = { .I = I, .C = (Cmin + Cmax) / 2, .h = h };
do {
if (ingamut(ich2ipt(res), gamut)) {
Cmin = res.C;
} else {
Cmax = res.C;
}
res.C = (Cmin + Cmax) / 2;
} while (Cmax - Cmin > maxDI);
return res;
}
// Finds maximally saturated in-gamut color (for given hue)
static inline struct ICh saturate(float hue, struct gamut gamut)
{
if (gamut.peak_cache->I && fabsf(gamut.peak_cache->h - hue) < 1e-3)
return *gamut.peak_cache;
static const float invphi = 0.6180339887498948f;
static const float invphi2 = 0.38196601125010515f;
struct ICh lo = { .I = gamut.min_luma, .h = hue };
struct ICh hi = { .I = gamut.max_luma, .h = hue };
float de = hi.I - lo.I;
struct ICh a = { .I = lo.I + invphi2 * de };
struct ICh b = { .I = lo.I + invphi * de };
a = desat_bounded(a.I, hue, 0.0f, 0.5f, gamut);
b = desat_bounded(b.I, hue, 0.0f, 0.5f, gamut);
while (de > maxDelta) {
de *= invphi;
if (a.C > b.C) {
hi = b;
b = a;
a.I = lo.I + invphi2 * de;
a = desat_bounded(a.I, hue, lo.C - maxDelta, 0.5f, gamut);
} else {
lo = a;
a = b;
b.I = lo.I + invphi * de;
b = desat_bounded(b.I, hue, hi.C - maxDelta, 0.5f, gamut);
}
}
struct ICh peak = a.C > b.C ? a : b;
*gamut.peak_cache = peak;
return peak;
}
// Clip a color along the exponential curve given by `gamma`
static inline struct IPT
clip_gamma(struct IPT ipt, float gamma, struct gamut gamut)
{
if (ipt.I <= gamut.min_luma)
return (struct IPT) { .I = gamut.min_luma };
if (ingamut(ipt, gamut))
return ipt;
struct ICh ich = ipt2ich(ipt);
if (!gamma)
return ich2ipt(desat_bounded(ich.I, ich.h, 0.0f, ich.C, gamut));
const float maxDI = fmaxf(ich.I * maxDelta, 1e-7f);
struct ICh peak = saturate(ich.h, gamut);
gamma = scale_gamma(gamma, ich, peak, gamut);
float lo = 0.0f, hi = 1.0f, x = 0.5f;
do {
struct ICh test = mix_exp(ich, x, gamma, peak.I);
if (ingamut(ich2ipt(test), gamut)) {
lo = x;
} else {
hi = x;
}
x = (lo + hi) / 2.0f;
} while (hi - lo > maxDI);
return ich2ipt(mix_exp(ich, x, gamma, peak.I));
}
static float softclip(float value, float source, float target,
const struct pl_gamut_map_constants *c)
{
if (!target)
return 0.0f;
const float peak = source / target;
const float x = fminf(value / target, peak);
const float j = c->softclip_knee;
if (x <= j || peak <= 1.0)
return value;
// Apply simple mobius function
const float a = -j*j * (peak - 1.0f) / (j*j - 2.0f * j + peak);
const float b = (j*j - 2.0f * j * peak + peak) /
fmaxf(1e-6f, peak - 1.0f);
const float scale = (b*b + 2.0f * b*j + j*j) / (b - a);
return scale * (x + a) / (x + b) * target;
}
static int cmp_float(const void *a, const void *b)
{
float fa = *(const float*) a;
float fb = *(const float*) b;
return PL_CMP(fa, fb);
}
static float wrap(float h)
{
if (h > M_PI) {
return h - 2 * M_PI;
} else if (h < -M_PI) {
return h + 2 * M_PI;
} else {
return h;
}
}
enum {
S = 12, // number of hue shift vertices
N = S + 2, // +2 for the endpoints
};
// Hue-shift helper struct
struct hueshift {
float dh[N];
float dddh[N];
float K[N];
float prev_hue;
float prev_shift;
struct { float hue, delta; } hueshift[N];
};
static void hueshift_prepare(struct hueshift *s, struct gamut src, struct gamut dst)
{
const float O = pq_eotf(src.min_luma), X = pq_eotf(src.max_luma);
const float M = (O + X) / 2.0f;
const struct RGB refpoints[S] = {
{X, O, O}, {O, X, O}, {O, O, X},
{O, X, X}, {X, O, X}, {X, X, O},
{O, X, M}, {X, O, M}, {X, M, O},
{O, M, X}, {M, O, X}, {M, X, O},
};
memset(s, 0, sizeof(*s));
for (int i = 0; i < S; i++) {
struct ICh ich_src = ipt2ich(rgb2ipt(refpoints[i], src));
struct ICh ich_dst = ipt2ich(rgb2ipt(refpoints[i], dst));
const float delta = wrap(ich_dst.h - ich_src.h);
s->hueshift[i+1].hue = ich_src.h;
s->hueshift[i+1].delta = delta;
}
// Sort and wrap endpoints
qsort(s->hueshift + 1, S, sizeof(*s->hueshift), cmp_float);
s->hueshift[0] = s->hueshift[S];
s->hueshift[S+1] = s->hueshift[1];
s->hueshift[0].hue -= 2 * M_PI;
s->hueshift[S+1].hue += 2 * M_PI;
// Construction of cubic spline coefficients
float tmp[N][N] = {0};
for (int i = N - 1; i > 0; i--) {
s->dh[i-1] = s->hueshift[i].hue - s->hueshift[i-1].hue;
s->dddh[i] = (s->hueshift[i].delta - s->hueshift[i-1].delta) / s->dh[i-1];
}
for (int i = 1; i < N - 1; i++) {
tmp[i][i] = 2 * (s->dh[i-1] + s->dh[i]);
if (i != 1)
tmp[i][i-1] = tmp[i-1][i] = s->dh[i-1];
tmp[i][N-1] = 6 * (s->dddh[i+1] - s->dddh[i]);
}
for (int i = 1; i < N - 2; i++) {
const float q = (tmp[i+1][i] / tmp[i][i]);
for (int j = 1; j <= N - 1; j++)
tmp[i+1][j] -= q * tmp[i][j];
}
for (int i = N - 2; i > 0; i--) {
float sum = 0.0f;
for (int j = i; j <= N - 2; j++)
sum += tmp[i][j] * s->K[j];
s->K[i] = (tmp[i][N-1] - sum) / tmp[i][i];
}
s->prev_hue = -10.0f;
}
static struct ICh hueshift_apply(struct hueshift *s, struct ICh ich)
{
if (fabsf(ich.h - s->prev_hue) < 1e-6f)
goto done;
// Determine perceptual hue shift delta by interpolation of refpoints
for (int i = 0; i < N - 1; i++) {
if (s->hueshift[i+1].hue > ich.h) {
pl_assert(s->hueshift[i].hue <= ich.h);
float a = (s->K[i+1] - s->K[i]) / (6 * s->dh[i]);
float b = s->K[i] / 2;
float c = s->dddh[i+1] - (2 * s->dh[i] * s->K[i] + s->K[i+1] * s->dh[i]) / 6;
float d = s->hueshift[i].delta;
float x = ich.h - s->hueshift[i].hue;
float delta = ((a * x + b) * x + c) * x + d;
s->prev_shift = ich.h + delta;
s->prev_hue = ich.h;
break;
}
}
done:
return (struct ICh) {
.I = ich.I,
.C = ich.C,
.h = s->prev_shift,
};
}
static void perceptual(float *lut, const struct pl_gamut_map_params *params)
{
const struct pl_gamut_map_constants *c = ¶ms->constants;
struct cache cache;
struct gamut dst, src;
get_gamuts(&dst, &src, &cache, params);
FOREACH_LUT(lut, ipt) {
struct ICh ich = ipt2ich(ipt);
struct ICh src_peak = saturate(ich.h, src);
struct ICh dst_peak = saturate(ich.h, dst);
struct IPT mapped = rgb2ipt(ipt2rgb(ipt, src), dst);
// Protect in gamut region
const float maxC = fmaxf(src_peak.C, dst_peak.C);
float k = pl_smoothstep(c->perceptual_deadzone, 1.0f, ich.C / maxC);
k *= c->perceptual_strength;
ipt.I = PL_MIX(ipt.I, mapped.I, k);
ipt.P = PL_MIX(ipt.P, mapped.P, k);
ipt.T = PL_MIX(ipt.T, mapped.T, k);
struct RGB rgb = ipt2rgb(ipt, dst);
const float maxRGB = fmaxf(rgb.R, fmaxf(rgb.G, rgb.B));
rgb.R = fmaxf(softclip(rgb.R, maxRGB, dst.max_rgb, c), dst.min_rgb);
rgb.G = fmaxf(softclip(rgb.G, maxRGB, dst.max_rgb, c), dst.min_rgb);
rgb.B = fmaxf(softclip(rgb.B, maxRGB, dst.max_rgb, c), dst.min_rgb);
ipt = rgb2ipt(rgb, dst);
}
}
const struct pl_gamut_map_function pl_gamut_map_perceptual = {
.name = "perceptual",
.description = "Perceptual mapping",
.bidirectional = true,
.map = perceptual,
};
static void softclip_map(float *lut, const struct pl_gamut_map_params *params)
{
const struct pl_gamut_map_constants *c = ¶ms->constants;
// Separate cache after hueshift, because this invalidates previous cache
struct cache cache_pre, cache_post;
struct gamut dst_pre, src_pre, src_post, dst_post;
struct hueshift hueshift;
get_gamuts(&dst_pre, &src_pre, &cache_pre, params);
get_gamuts(&dst_post, &src_post, &cache_post, params);
hueshift_prepare(&hueshift, src_pre, dst_pre);
FOREACH_LUT(lut, ipt) {
struct gamut src = src_pre;
struct gamut dst = dst_pre;
if (ipt.I <= dst.min_luma) {
ipt.P = ipt.T = 0.0f;
continue;
}
struct ICh ich = ipt2ich(ipt);
if (ich.C <= 1e-2f)
continue; // Fast path for achromatic colors
float margin = 1.0f;
struct ICh shifted = hueshift_apply(&hueshift, ich);
if (fabsf(shifted.h - ich.h) >= 1e-3f) {
struct ICh src_border = desat_bounded(ich.I, ich.h, 0.0f, 0.5f, src);
struct ICh dst_border = desat_bounded(ich.I, ich.h, 0.0f, 0.5f, dst);
const float k = pl_smoothstep(dst_border.C * c->softclip_knee,
src_border.C, ich.C);
ich.h = PL_MIX(ich.h, shifted.h, k);
src = src_post;
dst = dst_post;
// Expand/contract chromaticity margin to correspond to the altered
// size of the hue leaf after applying the hue delta
struct ICh shift_border = desat_bounded(ich.I, ich.h, 0.0f, 0.5f, src);
margin *= fmaxf(1.0f, src_border.C / shift_border.C);
}
// Determine intersections with source and target gamuts, and
// apply softclip to the chromaticity
struct ICh source = saturate(ich.h, src);
struct ICh target = saturate(ich.h, dst);
struct ICh border = desat_bounded(ich.I, ich.h, 0.0f, target.C, dst);
const float chromaticity = PL_MIX(target.C, border.C, c->softclip_desat);
ich.C = softclip(ich.C, margin * source.C, chromaticity, c);
// Soft-clip the resulting RGB color. This will generally distort
// hues slightly, but hopefully in an aesthetically pleasing way.
struct ICh saturated = { ich.I, chromaticity, ich.h };
struct RGB peak = ipt2rgb(ich2ipt(saturated), dst);
struct RGB rgb = ipt2rgb(ich2ipt(ich), dst);
rgb.R = fmaxf(softclip(rgb.R, peak.R, dst.max_rgb, c), dst.min_rgb);
rgb.G = fmaxf(softclip(rgb.G, peak.G, dst.max_rgb, c), dst.min_rgb);
rgb.B = fmaxf(softclip(rgb.B, peak.B, dst.max_rgb, c), dst.min_rgb);
ipt = rgb2ipt(rgb, dst);
}
}
const struct pl_gamut_map_function pl_gamut_map_softclip = {
.name = "softclip",
.description = "Soft clipping",
.map = softclip_map,
};
static void relative(float *lut, const struct pl_gamut_map_params *params)
{
const struct pl_gamut_map_constants *c = ¶ms->constants;
struct cache cache;
struct gamut dst;
get_gamuts(&dst, NULL, &cache, params);
FOREACH_LUT(lut, ipt)
ipt = clip_gamma(ipt, c->colorimetric_gamma, dst);
}
const struct pl_gamut_map_function pl_gamut_map_relative = {
.name = "relative",
.description = "Colorimetric clip",
.map = relative,
};
static void desaturate(float *lut, const struct pl_gamut_map_params *params)
{
struct cache cache;
struct gamut dst;
get_gamuts(&dst, NULL, &cache, params);
FOREACH_LUT(lut, ipt)
ipt = clip_gamma(ipt, 0.0f, dst);
}
const struct pl_gamut_map_function pl_gamut_map_desaturate = {
.name = "desaturate",
.description = "Desaturating clip",
.map = desaturate,
};
static void saturation(float *lut, const struct pl_gamut_map_params *params)
{
struct cache cache;
struct gamut dst, src;
get_gamuts(&dst, &src, &cache, params);
FOREACH_LUT(lut, ipt)
ipt = rgb2ipt(ipt2rgb(ipt, src), dst);
}
const struct pl_gamut_map_function pl_gamut_map_saturation = {
.name = "saturation",
.description = "Saturation mapping",
.bidirectional = true,
.map = saturation,
};
static void absolute(float *lut, const struct pl_gamut_map_params *params)
{
const struct pl_gamut_map_constants *c = ¶ms->constants;
struct cache cache;
struct gamut dst;
get_gamuts(&dst, NULL, &cache, params);
pl_matrix3x3 m = pl_get_adaptation_matrix(params->output_gamut.white,
params->input_gamut.white);
FOREACH_LUT(lut, ipt) {
struct RGB rgb = ipt2rgb(ipt, dst);
pl_matrix3x3_apply(&m, (float *) &rgb);
ipt = rgb2ipt(rgb, dst);
ipt = clip_gamma(ipt, c->colorimetric_gamma, dst);
}
}
const struct pl_gamut_map_function pl_gamut_map_absolute = {
.name = "absolute",
.description = "Absolute colorimetric clip",
.map = absolute,
};
static void highlight(float *lut, const struct pl_gamut_map_params *params)
{
struct cache cache;
struct gamut dst;
get_gamuts(&dst, NULL, &cache, params);
FOREACH_LUT(lut, ipt) {
if (!ingamut(ipt, dst)) {
ipt.I = fminf(ipt.I + 0.1f, 1.0f);
ipt.P = fclampf(-1.2f * ipt.P, -0.5f, 0.5f);
ipt.T = fclampf(-1.2f * ipt.T, -0.5f, 0.5f);
}
}
}
const struct pl_gamut_map_function pl_gamut_map_highlight = {
.name = "highlight",
.description = "Highlight out-of-gamut pixels",
.map = highlight,
};
static void linear(float *lut, const struct pl_gamut_map_params *params)
{
struct cache cache;
struct gamut dst, src;
get_gamuts(&dst, &src, &cache, params);
float gain = 1.0f;
for (float hue = -M_PI; hue < M_PI; hue += 0.1f)
gain = fminf(gain, saturate(hue, dst).C / saturate(hue, src).C);
FOREACH_LUT(lut, ipt) {
struct ICh ich = ipt2ich(ipt);
ich.C *= gain;
ipt = ich2ipt(ich);
}
}
const struct pl_gamut_map_function pl_gamut_map_linear = {
.name = "linear",
.description = "Linear desaturate",
.map = linear,
};
static void darken(float *lut, const struct pl_gamut_map_params *params)
{
const struct pl_gamut_map_constants *c = ¶ms->constants;
struct cache cache;
struct gamut dst, src;
get_gamuts(&dst, &src, &cache, params);
static const struct RGB points[6] = {
{1, 0, 0}, {0, 1, 0}, {0, 0, 1},
{0, 1, 1}, {1, 0, 1}, {1, 1, 0},
};
float gain = 1.0f;
for (int i = 0; i < PL_ARRAY_SIZE(points); i++) {
const struct RGB p = ipt2rgb(rgb2ipt(points[i], src), dst);
const float maxRGB = PL_MAX3(p.R, p.G, p.B);
gain = fminf(gain, 1.0 / maxRGB);
}
FOREACH_LUT(lut, ipt) {
struct RGB rgb = ipt2rgb(ipt, dst);
rgb.R *= gain;
rgb.G *= gain;
rgb.B *= gain;
ipt = rgb2ipt(rgb, dst);
ipt = clip_gamma(ipt, c->colorimetric_gamma, dst);
}
}
const struct pl_gamut_map_function pl_gamut_map_darken = {
.name = "darken",
.description = "Darken and clip",
.map = darken,
};
static void noop(float *lut, const struct pl_gamut_map_params *params)
{
return;
}
const struct pl_gamut_map_function pl_gamut_map_clip = {
.name = "clip",
.description = "No gamut mapping (hard clip)",
.map = noop,
};
const struct pl_gamut_map_function * const pl_gamut_map_functions[] = {
&pl_gamut_map_clip,
&pl_gamut_map_perceptual,
&pl_gamut_map_softclip,
&pl_gamut_map_relative,
&pl_gamut_map_saturation,
&pl_gamut_map_absolute,
&pl_gamut_map_desaturate,
&pl_gamut_map_darken,
&pl_gamut_map_highlight,
&pl_gamut_map_linear,
NULL
};
const int pl_num_gamut_map_functions = PL_ARRAY_SIZE(pl_gamut_map_functions) - 1;
const struct pl_gamut_map_function *pl_find_gamut_map_function(const char *name)
{
for (int i = 0; i < pl_num_gamut_map_functions; i++) {
if (strcmp(name, pl_gamut_map_functions[i]->name) == 0)
return pl_gamut_map_functions[i];
}
return NULL;
}
|