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color_utils.c
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1 /*
2  * Copyright (c) 2015 Kevin Wheatley <kevin.j.wheatley@gmail.com>
3  *
4  * This file is part of FFmpeg.
5  *
6  * FFmpeg is free software; you can redistribute it and/or
7  * modify it under the terms of the GNU Lesser General Public
8  * License as published by the Free Software Foundation; either
9  * version 2.1 of the License, or (at your option) any later version.
10  *
11  * FFmpeg is distributed in the hope that it will be useful,
12  * but WITHOUT ANY WARRANTY; without even the implied warranty of
13  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14  * Lesser General Public License for more details.
15  *
16  * You should have received a copy of the GNU Lesser General Public
17  * License along with FFmpeg; if not, write to the Free Software
18  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
19  */
20 
21 #include <stddef.h>
22 #include <math.h>
23 
24 #include "common.h"
25 #include "libavutil/color_utils.h"
26 #include "libavutil/pixfmt.h"
27 
29 {
30  double gamma;
31  switch (trc) {
32  case AVCOL_TRC_BT709:
38  /* these share a segmented TRC, but gamma 1.961 is a close
39  approximation, and also more correct for decoding content */
40  gamma = 1.961;
41  break;
42  case AVCOL_TRC_GAMMA22:
44  gamma = 2.2;
45  break;
46  case AVCOL_TRC_GAMMA28:
47  gamma = 2.8;
48  break;
49  case AVCOL_TRC_LINEAR:
50  gamma = 1.0;
51  break;
52  default:
53  gamma = 0.0; // Unknown value representation
54  }
55  return gamma;
56 }
57 
58 #define BT709_alpha 1.099296826809442
59 #define BT709_beta 0.018053968510807
60 
61 static double avpriv_trc_bt709(double Lc)
62 {
63  const double a = BT709_alpha;
64  const double b = BT709_beta;
65 
66  return (0.0 > Lc) ? 0.0
67  : ( b > Lc) ? 4.500 * Lc
68  : a * pow(Lc, 0.45) - (a - 1.0);
69 }
70 
71 static double avpriv_trc_gamma22(double Lc)
72 {
73  return (0.0 > Lc) ? 0.0 : pow(Lc, 1.0/ 2.2);
74 }
75 
76 static double avpriv_trc_gamma28(double Lc)
77 {
78  return (0.0 > Lc) ? 0.0 : pow(Lc, 1.0/ 2.8);
79 }
80 
81 static double avpriv_trc_smpte240M(double Lc)
82 {
83  const double a = 1.1115;
84  const double b = 0.0228;
85 
86  return (0.0 > Lc) ? 0.0
87  : ( b > Lc) ? 4.000 * Lc
88  : a * pow(Lc, 0.45) - (a - 1.0);
89 }
90 
91 static double avpriv_trc_linear(double Lc)
92 {
93  return Lc;
94 }
95 
96 static double avpriv_trc_log(double Lc)
97 {
98  return (0.01 > Lc) ? 0.0 : 1.0 + log10(Lc) / 2.0;
99 }
100 
101 static double avpriv_trc_log_sqrt(double Lc)
102 {
103  // sqrt(10) / 1000
104  return (0.00316227766 > Lc) ? 0.0 : 1.0 + log10(Lc) / 2.5;
105 }
106 
107 static double avpriv_trc_iec61966_2_4(double Lc)
108 {
109  const double a = BT709_alpha;
110  const double b = BT709_beta;
111 
112  return (-b >= Lc) ? -a * pow(-Lc, 0.45) + (a - 1.0)
113  : ( b > Lc) ? 4.500 * Lc
114  : a * pow( Lc, 0.45) - (a - 1.0);
115 }
116 
117 static double avpriv_trc_bt1361(double Lc)
118 {
119  const double a = BT709_alpha;
120  const double b = BT709_beta;
121 
122  return (-0.0045 >= Lc) ? -(a * pow(-4.0 * Lc, 0.45) + (a - 1.0)) / 4.0
123  : ( b > Lc) ? 4.500 * Lc
124  : a * pow( Lc, 0.45) - (a - 1.0);
125 }
126 
127 static double avpriv_trc_iec61966_2_1(double Lc)
128 {
129  const double a = 1.055;
130  const double b = 0.0031308;
131 
132  return (0.0 > Lc) ? 0.0
133  : ( b > Lc) ? 12.92 * Lc
134  : a * pow(Lc, 1.0 / 2.4) - (a - 1.0);
135 }
136 
137 static double avpriv_trc_smpte_st2084(double Lc)
138 {
139  const double c1 = 3424.0 / 4096.0; // c3-c2 + 1
140  const double c2 = 32.0 * 2413.0 / 4096.0;
141  const double c3 = 32.0 * 2392.0 / 4096.0;
142  const double m = 128.0 * 2523.0 / 4096.0;
143  const double n = 0.25 * 2610.0 / 4096.0;
144  const double L = Lc / 10000.0;
145  const double Ln = pow(L, n);
146 
147  return (0.0 > Lc) ? 0.0
148  : pow((c1 + c2 * Ln) / (1.0 + c3 * Ln), m);
149 
150 }
151 
152 static double avpriv_trc_smpte_st428_1(double Lc)
153 {
154  return (0.0 > Lc) ? 0.0
155  : pow(48.0 * Lc / 52.37, 1.0 / 2.6);
156 }
157 
158 
159 static double avpriv_trc_arib_std_b67(double Lc) {
160  // The function uses the definition from HEVC, which assumes that the peak
161  // white is input level = 1. (this is equivalent to scaling E = Lc * 12 and
162  // using the definition from the ARIB STD-B67 spec)
163  const double a = 0.17883277;
164  const double b = 0.28466892;
165  const double c = 0.55991073;
166  return (0.0 > Lc) ? 0.0 :
167  (Lc <= 1.0 / 12.0 ? sqrt(3.0 * Lc) : a * log(12.0 * Lc - b) + c);
168 }
169 
171 {
173  switch (trc) {
174  case AVCOL_TRC_BT709:
175  case AVCOL_TRC_SMPTE170M:
176  case AVCOL_TRC_BT2020_10:
177  case AVCOL_TRC_BT2020_12:
178  func = avpriv_trc_bt709;
179  break;
180 
181  case AVCOL_TRC_GAMMA22:
182  func = avpriv_trc_gamma22;
183  break;
184  case AVCOL_TRC_GAMMA28:
185  func = avpriv_trc_gamma28;
186  break;
187 
188  case AVCOL_TRC_SMPTE240M:
189  func = avpriv_trc_smpte240M;
190  break;
191 
192  case AVCOL_TRC_LINEAR:
193  func = avpriv_trc_linear;
194  break;
195 
196  case AVCOL_TRC_LOG:
197  func = avpriv_trc_log;
198  break;
199 
200  case AVCOL_TRC_LOG_SQRT:
201  func = avpriv_trc_log_sqrt;
202  break;
203 
206  break;
207 
209  func = avpriv_trc_bt1361;
210  break;
211 
214  break;
215 
218  break;
219 
222  break;
223 
226  break;
227 
228  case AVCOL_TRC_RESERVED0:
230  case AVCOL_TRC_RESERVED:
231  default:
232  break;
233  }
234  return func;
235 }
static double avpriv_trc_smpte_st428_1(double Lc)
Definition: color_utils.c:152
ITU-R BT2020 for 12-bit system.
Definition: pixfmt.h:460
#define NULL
Definition: coverity.c:32
IEC 61966-2-4.
Definition: pixfmt.h:456
static double avpriv_trc_iec61966_2_1(double Lc)
Definition: color_utils.c:127
"Linear transfer characteristics"
Definition: pixfmt.h:453
double(* avpriv_trc_function)(double)
Definition: color_utils.h:40
static double avpriv_trc_smpte240M(double Lc)
Definition: color_utils.c:81
const char * b
Definition: vf_curves.c:113
static double avpriv_trc_smpte_st2084(double Lc)
Definition: color_utils.c:137
AVColorTransferCharacteristic
Color Transfer Characteristic.
Definition: pixfmt.h:444
static double avpriv_trc_log(double Lc)
Definition: color_utils.c:96
double avpriv_get_gamma_from_trc(enum AVColorTransferCharacteristic trc)
Determine a suitable 'gamma' value to match the supplied AVColorTransferCharacteristic.
Definition: color_utils.c:28
also ITU-R BT470M / ITU-R BT1700 625 PAL & SECAM
Definition: pixfmt.h:449
static double avpriv_trc_iec61966_2_4(double Lc)
Definition: color_utils.c:107
static const uint64_t c1
Definition: murmur3.c:49
ITU-R BT1361 Extended Colour Gamut.
Definition: pixfmt.h:457
static double avpriv_trc_bt709(double Lc)
Definition: color_utils.c:61
static double avpriv_trc_gamma28(double Lc)
Definition: color_utils.c:76
static double avpriv_trc_log_sqrt(double Lc)
Definition: color_utils.c:101
avpriv_trc_function avpriv_get_trc_function_from_trc(enum AVColorTransferCharacteristic trc)
Determine the function needed to apply the given AVColorTransferCharacteristic to linear input...
Definition: color_utils.c:170
int n
Definition: avisynth_c.h:684
#define L(x)
Definition: vp56_arith.h:36
also ITU-R BT1361
Definition: pixfmt.h:446
also ITU-R BT601-6 525 or 625 / ITU-R BT1358 525 or 625 / ITU-R BT1700 NTSC
Definition: pixfmt.h:451
#define BT709_alpha
Definition: color_utils.c:58
"Logarithmic transfer characteristic (100 * Sqrt(10) : 1 range)"
Definition: pixfmt.h:455
int(* func)(AVBPrint *dst, const char *in, const char *arg)
Definition: jacosubdec.c:67
#define BT709_beta
Definition: color_utils.c:59
static double avpriv_trc_gamma22(double Lc)
Definition: color_utils.c:71
static double avpriv_trc_bt1361(double Lc)
Definition: color_utils.c:117
static double avpriv_trc_arib_std_b67(double Lc)
Definition: color_utils.c:159
IEC 61966-2-1 (sRGB or sYCC)
Definition: pixfmt.h:458
common internal and external API header
static double c[64]
also ITU-R BT470BG
Definition: pixfmt.h:450
static const uint64_t c2
Definition: murmur3.c:50
ARIB STD-B67, known as "Hybrid log-gamma".
Definition: pixfmt.h:465
static double avpriv_trc_linear(double Lc)
Definition: color_utils.c:91
pixel format definitions
ITU-R BT2020 for 10-bit system.
Definition: pixfmt.h:459
"Logarithmic transfer characteristic (100:1 range)"
Definition: pixfmt.h:454