| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | * Copyright (c) 2015 Kevin Wheatley <kevin.j.wheatley@gmail.com> | ||
| 3 | * Copyright (c) 2016 Ronald S. Bultje <rsbultje@gmail.com> | ||
| 4 | * Copyright (c) 2023 Leo Izen <leo.izen@gmail.com> | ||
| 5 | * | ||
| 6 | * This file is part of FFmpeg. | ||
| 7 | * | ||
| 8 | * FFmpeg is free software; you can redistribute it and/or | ||
| 9 | * modify it under the terms of the GNU Lesser General Public | ||
| 10 | * License as published by the Free Software Foundation; either | ||
| 11 | * version 2.1 of the License, or (at your option) any later version. | ||
| 12 | * | ||
| 13 | * FFmpeg is distributed in the hope that it will be useful, | ||
| 14 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 15 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 16 | * Lesser General Public License for more details. | ||
| 17 | * | ||
| 18 | * You should have received a copy of the GNU Lesser General Public | ||
| 19 | * License along with FFmpeg; if not, write to the Free Software | ||
| 20 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA | ||
| 21 | */ | ||
| 22 | |||
| 23 | /** | ||
| 24 | * @file Colorspace functions for libavutil | ||
| 25 | * @author Ronald S. Bultje <rsbultje@gmail.com> | ||
| 26 | * @author Leo Izen <leo.izen@gmail.com> | ||
| 27 | * @author Kevin Wheatley <kevin.j.wheatley@gmail.com> | ||
| 28 | */ | ||
| 29 | |||
| 30 | #include <stdlib.h> | ||
| 31 | #include <math.h> | ||
| 32 | |||
| 33 | #include "attributes.h" | ||
| 34 | #include "csp.h" | ||
| 35 | #include "pixfmt.h" | ||
| 36 | #include "rational.h" | ||
| 37 | |||
| 38 | #define AVR(d) { (int)(d * 100000 + 0.5), 100000 } | ||
| 39 | |||
| 40 | /* | ||
| 41 | * All constants explained in e.g. https://linuxtv.org/downloads/v4l-dvb-apis/ch02s06.html | ||
| 42 | * The older ones (bt470bg/m) are also explained in their respective ITU docs | ||
| 43 | * (e.g. https://www.itu.int/dms_pubrec/itu-r/rec/bt/R-REC-BT.470-5-199802-S!!PDF-E.pdf) | ||
| 44 | * whereas the newer ones can typically be copied directly from wikipedia :) | ||
| 45 | */ | ||
| 46 | static const struct AVLumaCoefficients luma_coefficients[AVCOL_SPC_NB] = { | ||
| 47 | [AVCOL_SPC_FCC] = { AVR(0.30), AVR(0.59), AVR(0.11) }, | ||
| 48 | [AVCOL_SPC_BT470BG] = { AVR(0.299), AVR(0.587), AVR(0.114) }, | ||
| 49 | [AVCOL_SPC_SMPTE170M] = { AVR(0.299), AVR(0.587), AVR(0.114) }, | ||
| 50 | [AVCOL_SPC_BT709] = { AVR(0.2126), AVR(0.7152), AVR(0.0722) }, | ||
| 51 | [AVCOL_SPC_SMPTE240M] = { AVR(0.212), AVR(0.701), AVR(0.087) }, | ||
| 52 | [AVCOL_SPC_YCOCG] = { AVR(0.25), AVR(0.5), AVR(0.25) }, | ||
| 53 | [AVCOL_SPC_RGB] = { AVR(1), AVR(1), AVR(1) }, | ||
| 54 | [AVCOL_SPC_BT2020_NCL] = { AVR(0.2627), AVR(0.6780), AVR(0.0593) }, | ||
| 55 | [AVCOL_SPC_BT2020_CL] = { AVR(0.2627), AVR(0.6780), AVR(0.0593) }, | ||
| 56 | }; | ||
| 57 | |||
| 58 | 167750 | const struct AVLumaCoefficients *av_csp_luma_coeffs_from_avcsp(enum AVColorSpace csp) | |
| 59 | { | ||
| 60 | const AVLumaCoefficients *coeffs; | ||
| 61 | |||
| 62 |
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167750 | if ((unsigned)csp >= AVCOL_SPC_NB) |
| 63 | ✗ | return NULL; | |
| 64 | 167750 | coeffs = &luma_coefficients[csp]; | |
| 65 |
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167750 | if (!coeffs->cr.num) |
| 66 | 53284 | return NULL; | |
| 67 | |||
| 68 | 114466 | return coeffs; | |
| 69 | } | ||
| 70 | |||
| 71 | #define WP_D65 { AVR(0.3127), AVR(0.3290) } | ||
| 72 | #define WP_C { AVR(0.3100), AVR(0.3160) } | ||
| 73 | #define WP_DCI { AVR(0.3140), AVR(0.3510) } | ||
| 74 | #define WP_E { {1, 3}, {1, 3} } | ||
| 75 | |||
| 76 | static const AVColorPrimariesDesc color_primaries[AVCOL_PRI_NB] = { | ||
| 77 | [AVCOL_PRI_BT709] = { WP_D65, { { AVR(0.640), AVR(0.330) }, { AVR(0.300), AVR(0.600) }, { AVR(0.150), AVR(0.060) } } }, | ||
| 78 | [AVCOL_PRI_BT470M] = { WP_C, { { AVR(0.670), AVR(0.330) }, { AVR(0.210), AVR(0.710) }, { AVR(0.140), AVR(0.080) } } }, | ||
| 79 | [AVCOL_PRI_BT470BG] = { WP_D65, { { AVR(0.640), AVR(0.330) }, { AVR(0.290), AVR(0.600) }, { AVR(0.150), AVR(0.060) } } }, | ||
| 80 | [AVCOL_PRI_SMPTE170M] = { WP_D65, { { AVR(0.630), AVR(0.340) }, { AVR(0.310), AVR(0.595) }, { AVR(0.155), AVR(0.070) } } }, | ||
| 81 | [AVCOL_PRI_SMPTE240M] = { WP_D65, { { AVR(0.630), AVR(0.340) }, { AVR(0.310), AVR(0.595) }, { AVR(0.155), AVR(0.070) } } }, | ||
| 82 | [AVCOL_PRI_SMPTE428] = { WP_E, { { AVR(0.735), AVR(0.265) }, { AVR(0.274), AVR(0.718) }, { AVR(0.167), AVR(0.009) } } }, | ||
| 83 | [AVCOL_PRI_SMPTE431] = { WP_DCI, { { AVR(0.680), AVR(0.320) }, { AVR(0.265), AVR(0.690) }, { AVR(0.150), AVR(0.060) } } }, | ||
| 84 | [AVCOL_PRI_SMPTE432] = { WP_D65, { { AVR(0.680), AVR(0.320) }, { AVR(0.265), AVR(0.690) }, { AVR(0.150), AVR(0.060) } } }, | ||
| 85 | [AVCOL_PRI_FILM] = { WP_C, { { AVR(0.681), AVR(0.319) }, { AVR(0.243), AVR(0.692) }, { AVR(0.145), AVR(0.049) } } }, | ||
| 86 | [AVCOL_PRI_BT2020] = { WP_D65, { { AVR(0.708), AVR(0.292) }, { AVR(0.170), AVR(0.797) }, { AVR(0.131), AVR(0.046) } } }, | ||
| 87 | [AVCOL_PRI_JEDEC_P22] = { WP_D65, { { AVR(0.630), AVR(0.340) }, { AVR(0.295), AVR(0.605) }, { AVR(0.155), AVR(0.077) } } }, | ||
| 88 | }; | ||
| 89 | |||
| 90 | static const AVColorPrimariesDesc color_primaries_ext[AVCOL_PRI_EXT_NB - | ||
| 91 | AVCOL_PRI_EXT_BASE] = { | ||
| 92 | [AVCOL_PRI_V_GAMUT - AVCOL_PRI_EXT_BASE] = { WP_D65, { { AVR(0.730), AVR(0.280) }, { AVR(0.165), AVR(0.840) }, { AVR(0.100), AVR(-0.030) } } }, | ||
| 93 | }; | ||
| 94 | |||
| 95 | 643449 | const AVColorPrimariesDesc *av_csp_primaries_desc_from_id(enum AVColorPrimaries prm) | |
| 96 | { | ||
| 97 | 643449 | const AVColorPrimariesDesc *p = NULL; | |
| 98 |
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643449 | if ((unsigned)prm < AVCOL_PRI_NB) |
| 99 | 643449 | p = &color_primaries[prm]; | |
| 100 | ✗ | else if (((unsigned)prm >= AVCOL_PRI_EXT_BASE) && | |
| 101 | ((unsigned)prm < AVCOL_PRI_EXT_NB)) | ||
| 102 | ✗ | p = &color_primaries_ext[prm - AVCOL_PRI_EXT_BASE]; | |
| 103 |
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643449 | if (!p || !p->prim.r.x.num) |
| 104 | 530393 | return NULL; | |
| 105 | 113056 | return p; | |
| 106 | } | ||
| 107 | |||
| 108 | 48 | static av_always_inline AVRational abs_sub_q(AVRational r1, AVRational r2) | |
| 109 | { | ||
| 110 | 48 | AVRational diff = av_sub_q(r1, r2); | |
| 111 | /* denominator assumed to be positive */ | ||
| 112 | 48 | return av_make_q(abs(diff.num), diff.den); | |
| 113 | } | ||
| 114 | |||
| 115 | 6 | enum AVColorPrimaries av_csp_primaries_id_from_desc(const AVColorPrimariesDesc *prm) | |
| 116 | { | ||
| 117 | AVRational delta; | ||
| 118 | |||
| 119 |
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12 | for (enum AVColorPrimaries p = 0; p < AVCOL_PRI_NB; p++) { |
| 120 | 12 | const AVColorPrimariesDesc *ref = &color_primaries[p]; | |
| 121 |
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12 | if (!ref->prim.r.x.num) |
| 122 | 6 | continue; | |
| 123 | |||
| 124 | 6 | delta = abs_sub_q(prm->prim.r.x, ref->prim.r.x); | |
| 125 | 6 | delta = av_add_q(delta, abs_sub_q(prm->prim.r.y, ref->prim.r.y)); | |
| 126 | 6 | delta = av_add_q(delta, abs_sub_q(prm->prim.g.x, ref->prim.g.x)); | |
| 127 | 6 | delta = av_add_q(delta, abs_sub_q(prm->prim.g.y, ref->prim.g.y)); | |
| 128 | 6 | delta = av_add_q(delta, abs_sub_q(prm->prim.b.x, ref->prim.b.x)); | |
| 129 | 6 | delta = av_add_q(delta, abs_sub_q(prm->prim.b.y, ref->prim.b.y)); | |
| 130 | 6 | delta = av_add_q(delta, abs_sub_q(prm->wp.x, ref->wp.x)); | |
| 131 | 6 | delta = av_add_q(delta, abs_sub_q(prm->wp.y, ref->wp.y)); | |
| 132 | |||
| 133 |
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6 | if (av_cmp_q(delta, av_make_q(1, 1000)) < 0) |
| 134 | 6 | return p; | |
| 135 | } | ||
| 136 | |||
| 137 | ✗ | return AVCOL_PRI_UNSPECIFIED; | |
| 138 | } | ||
| 139 | |||
| 140 | static const double approximate_gamma[AVCOL_TRC_NB] = { | ||
| 141 | [AVCOL_TRC_BT709] = 1.961, | ||
| 142 | [AVCOL_TRC_SMPTE170M] = 1.961, | ||
| 143 | [AVCOL_TRC_SMPTE240M] = 1.961, | ||
| 144 | [AVCOL_TRC_BT1361_ECG] = 1.961, | ||
| 145 | [AVCOL_TRC_BT2020_10] = 1.961, | ||
| 146 | [AVCOL_TRC_BT2020_12] = 1.961, | ||
| 147 | [AVCOL_TRC_GAMMA22] = 2.2, | ||
| 148 | [AVCOL_TRC_IEC61966_2_1] = 2.2, | ||
| 149 | [AVCOL_TRC_GAMMA28] = 2.8, | ||
| 150 | [AVCOL_TRC_LINEAR] = 1.0, | ||
| 151 | [AVCOL_TRC_SMPTE428] = 2.6, | ||
| 152 | }; | ||
| 153 | |||
| 154 | static const double approximate_gamma_ext[AVCOL_TRC_EXT_NB - | ||
| 155 | AVCOL_TRC_EXT_BASE] = { | ||
| 156 | [AVCOL_TRC_V_LOG - AVCOL_TRC_EXT_BASE] = 2.2, | ||
| 157 | }; | ||
| 158 | |||
| 159 | ✗ | double av_csp_approximate_trc_gamma(enum AVColorTransferCharacteristic trc) | |
| 160 | { | ||
| 161 | ✗ | if (trc < AVCOL_TRC_NB) | |
| 162 | ✗ | return approximate_gamma[trc]; | |
| 163 | ✗ | else if ((trc >= AVCOL_TRC_EXT_BASE) && (trc < AVCOL_TRC_EXT_NB)) | |
| 164 | ✗ | return approximate_gamma_ext[trc - AVCOL_TRC_EXT_BASE]; | |
| 165 | ✗ | return 0.0; | |
| 166 | } | ||
| 167 | |||
| 168 | static const double approximate_eotf_gamma[AVCOL_TRC_NB] = { | ||
| 169 | [AVCOL_TRC_BT709] = 2.2, | ||
| 170 | [AVCOL_TRC_SMPTE170M] = 2.2, | ||
| 171 | [AVCOL_TRC_SMPTE240M] = 2.2, | ||
| 172 | [AVCOL_TRC_BT1361_ECG] = 2.2, | ||
| 173 | [AVCOL_TRC_BT2020_10] = 2.2, | ||
| 174 | [AVCOL_TRC_BT2020_12] = 2.2, | ||
| 175 | [AVCOL_TRC_GAMMA22] = 2.2, | ||
| 176 | [AVCOL_TRC_IEC61966_2_1] = 2.2, | ||
| 177 | [AVCOL_TRC_GAMMA28] = 2.8, | ||
| 178 | [AVCOL_TRC_LINEAR] = 1.0, | ||
| 179 | [AVCOL_TRC_SMPTE428] = 2.6, | ||
| 180 | }; | ||
| 181 | |||
| 182 | static const double approximate_eotf_gamma_ext[AVCOL_TRC_EXT_NB - | ||
| 183 | AVCOL_TRC_EXT_BASE] = { | ||
| 184 | [AVCOL_TRC_V_LOG - AVCOL_TRC_EXT_BASE] = 2.2, | ||
| 185 | }; | ||
| 186 | |||
| 187 | 249 | double av_csp_approximate_eotf_gamma(enum AVColorTransferCharacteristic trc) | |
| 188 | { | ||
| 189 |
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249 | if ((unsigned)trc < AVCOL_TRC_NB) |
| 190 | 249 | return approximate_eotf_gamma[trc]; | |
| 191 | ✗ | else if (((unsigned)trc >= AVCOL_TRC_EXT_BASE) && | |
| 192 | ((unsigned)trc < AVCOL_TRC_EXT_NB)) | ||
| 193 | ✗ | return approximate_eotf_gamma_ext[trc - AVCOL_TRC_EXT_BASE]; | |
| 194 | ✗ | return 0.0; | |
| 195 | } | ||
| 196 | |||
| 197 | #define BT709_alpha 1.099296826809442 | ||
| 198 | #define BT709_beta 0.018053968510807 | ||
| 199 | |||
| 200 | 76 | static double trc_bt709(double Lc) | |
| 201 | { | ||
| 202 | 76 | const double a = BT709_alpha; | |
| 203 | 76 | const double b = BT709_beta; | |
| 204 | |||
| 205 | return (0.0 > Lc) ? 0.0 | ||
| 206 |
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136 | : ( b > Lc) ? 4.500 * Lc |
| 207 |
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60 | : a * pow(Lc, 0.45) - (a - 1.0); |
| 208 | } | ||
| 209 | |||
| 210 | 76 | static double trc_bt709_inv(double E) | |
| 211 | { | ||
| 212 | 76 | const double a = BT709_alpha; | |
| 213 | 76 | const double b = 4.500 * BT709_beta; | |
| 214 | |||
| 215 | return (0.0 > E) ? 0.0 | ||
| 216 |
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152 | : ( b > E) ? E / 4.500 |
| 217 |
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76 | : pow((E + (a - 1.0)) / a, 1.0 / 0.45); |
| 218 | } | ||
| 219 | |||
| 220 | 799 | static double trc_gamma22(double Lc) | |
| 221 | { | ||
| 222 |
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799 | return (0.0 > Lc) ? 0.0 : pow(Lc, 1.0/ 2.2); |
| 223 | } | ||
| 224 | |||
| 225 | 799 | static double trc_gamma22_inv(double E) | |
| 226 | { | ||
| 227 |
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799 | return (0.0 > E) ? 0.0 : pow(E, 2.2); |
| 228 | } | ||
| 229 | |||
| 230 | 799 | static double trc_gamma28(double Lc) | |
| 231 | { | ||
| 232 |
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799 | return (0.0 > Lc) ? 0.0 : pow(Lc, 1.0/ 2.8); |
| 233 | } | ||
| 234 | |||
| 235 | 799 | static double trc_gamma28_inv(double E) | |
| 236 | { | ||
| 237 |
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799 | return (0.0 > E) ? 0.0 : pow(E, 2.8); |
| 238 | } | ||
| 239 | |||
| 240 | 19 | static double trc_smpte240M(double Lc) | |
| 241 | { | ||
| 242 | 19 | const double a = 1.1115; | |
| 243 | 19 | const double b = 0.0228; | |
| 244 | |||
| 245 | return (0.0 > Lc) ? 0.0 | ||
| 246 |
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34 | : ( b > Lc) ? 4.000 * Lc |
| 247 |
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15 | : a * pow(Lc, 0.45) - (a - 1.0); |
| 248 | } | ||
| 249 | |||
| 250 | 19 | static double trc_smpte240M_inv(double E) | |
| 251 | { | ||
| 252 | 19 | const double a = 1.1115; | |
| 253 | 19 | const double b = 4.000 * 0.0228; | |
| 254 | |||
| 255 | return (0.0 > E) ? 0.0 | ||
| 256 |
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38 | : ( b > E) ? E / 4.000 |
| 257 |
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19 | : pow((E + (a - 1.0)) / a, 1.0 / 0.45); |
| 258 | } | ||
| 259 | |||
| 260 | 38 | static double trc_linear(double Lc) | |
| 261 | { | ||
| 262 | 38 | return Lc; | |
| 263 | } | ||
| 264 | |||
| 265 | 19 | static double trc_log(double Lc) | |
| 266 | { | ||
| 267 |
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19 | return (0.01 > Lc) ? 0.0 : 1.0 + log10(Lc) / 2.0; |
| 268 | } | ||
| 269 | |||
| 270 | 19 | static double trc_log_inv(double E) | |
| 271 | { | ||
| 272 |
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19 | return (0.0 > E) ? 0.01 : pow(10.0, 2.0 * (E - 1.0)); |
| 273 | } | ||
| 274 | |||
| 275 | 19 | static double trc_log_sqrt(double Lc) | |
| 276 | { | ||
| 277 | // sqrt(10) / 1000 | ||
| 278 |
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19 | return (0.00316227766 > Lc) ? 0.0 : 1.0 + log10(Lc) / 2.5; |
| 279 | } | ||
| 280 | |||
| 281 | 19 | static double trc_log_sqrt_inv(double E) | |
| 282 | { | ||
| 283 |
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19 | return (0.0 > E) ? 0.00316227766 : pow(10.0, 2.5 * (E - 1.0)); |
| 284 | } | ||
| 285 | |||
| 286 | 19 | static double trc_iec61966_2_4(double Lc) | |
| 287 | { | ||
| 288 | 19 | const double a = BT709_alpha; | |
| 289 | 19 | const double b = BT709_beta; | |
| 290 | |||
| 291 | 21 | return (-b >= Lc) ? -a * pow(-Lc, 0.45) + (a - 1.0) | |
| 292 |
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36 | : ( b > Lc) ? 4.500 * Lc |
| 293 |
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17 | : a * pow( Lc, 0.45) - (a - 1.0); |
| 294 | } | ||
| 295 | |||
| 296 | 19 | static double trc_iec61966_2_4_inv(double E) | |
| 297 | { | ||
| 298 | 19 | const double a = BT709_alpha; | |
| 299 | 19 | const double b = 4.500 * BT709_beta; | |
| 300 | |||
| 301 | 21 | return (-b >= E) ? -pow((-E + (a - 1.0)) / a, 1.0 / 0.45) | |
| 302 |
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36 | : ( b > E) ? E / 4.500 |
| 303 |
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17 | : pow(( E + (a - 1.0)) / a, 1.0 / 0.45); |
| 304 | } | ||
| 305 | |||
| 306 | 19 | static double trc_bt1361(double Lc) | |
| 307 | { | ||
| 308 | 19 | const double a = BT709_alpha; | |
| 309 | 19 | const double b = BT709_beta; | |
| 310 | |||
| 311 | 3 | return (-0.0045 >= Lc) ? -(a * pow(-4.0 * Lc, 0.45) + (a - 1.0)) / 4.0 | |
| 312 |
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35 | : ( b > Lc) ? 4.500 * Lc |
| 313 |
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16 | : a * pow( Lc, 0.45) - (a - 1.0); |
| 314 | } | ||
| 315 | |||
| 316 | 19 | static double trc_bt1361_inv(double E) | |
| 317 | { | ||
| 318 | 19 | const double a = BT709_alpha; | |
| 319 | 19 | const double b = 4.500 * BT709_beta; | |
| 320 | |||
| 321 | 3 | return (-0.02025 >= E) ? -pow((-4.0 * E - (a - 1.0)) / a, 1.0 / 0.45) / 4.0 | |
| 322 |
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35 | : ( b > E) ? E / 4.500 |
| 323 |
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16 | : pow(( E + (a - 1.0)) / a, 1.0 / 0.45); |
| 324 | } | ||
| 325 | |||
| 326 | 799 | static double trc_iec61966_2_1(double Lc) | |
| 327 | { | ||
| 328 | 799 | const double a = 1.055; | |
| 329 | 799 | const double b = 0.0031308; | |
| 330 | |||
| 331 | return (0.0 > Lc) ? 0.0 | ||
| 332 |
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1594 | : ( b > Lc) ? 12.92 * Lc |
| 333 |
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795 | : a * pow(Lc, 1.0 / 2.4) - (a - 1.0); |
| 334 | } | ||
| 335 | |||
| 336 | 799 | static double trc_iec61966_2_1_inv(double E) | |
| 337 | { | ||
| 338 | 799 | const double a = 1.055; | |
| 339 | 799 | const double b = 12.92 * 0.0031308; | |
| 340 | |||
| 341 | return (0.0 > E) ? 0.0 | ||
| 342 |
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1598 | : ( b > E) ? E / 12.92 |
| 343 |
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799 | : pow((E + (a - 1.0)) / a, 2.4); |
| 344 | return E; | ||
| 345 | } | ||
| 346 | |||
| 347 | #define PQ_c1 ( 3424.0 / 4096.0) /* c3-c2 + 1 */ | ||
| 348 | #define PQ_c2 ( 32.0 * 2413.0 / 4096.0) | ||
| 349 | #define PQ_c3 ( 32.0 * 2392.0 / 4096.0) | ||
| 350 | #define PQ_m (128.0 * 2523.0 / 4096.0) | ||
| 351 | #define PQ_n ( 0.25 * 2610.0 / 4096.0) | ||
| 352 | |||
| 353 | 19 | static double trc_smpte_st2084(double Lc) | |
| 354 | { | ||
| 355 | 19 | const double c1 = PQ_c1; | |
| 356 | 19 | const double c2 = PQ_c2; | |
| 357 | 19 | const double c3 = PQ_c3; | |
| 358 | 19 | const double m = PQ_m; | |
| 359 | 19 | const double n = PQ_n; | |
| 360 | 19 | const double L = Lc / 10000.0; | |
| 361 | 19 | const double Ln = pow(L, n); | |
| 362 | |||
| 363 | return (0.0 > Lc) ? 0.0 | ||
| 364 |
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19 | : pow((c1 + c2 * Ln) / (1.0 + c3 * Ln), m); |
| 365 | |||
| 366 | } | ||
| 367 | |||
| 368 | 19 | static double trc_smpte_st2084_inv(double E) | |
| 369 | { | ||
| 370 | 19 | const double c1 = PQ_c1; | |
| 371 | 19 | const double c2 = PQ_c2; | |
| 372 | 19 | const double c3 = PQ_c3; | |
| 373 | 19 | const double m = PQ_m; | |
| 374 | 19 | const double n = PQ_n; | |
| 375 | 19 | const double Em = pow(E, 1.0 / m); | |
| 376 | |||
| 377 | return (c1 > Em) ? 0.0 | ||
| 378 |
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19 | : 10000.0 * pow((Em - c1) / (c2 - c3 * Em), 1.0 / n); |
| 379 | } | ||
| 380 | |||
| 381 | #define DCI_L 48.00 | ||
| 382 | #define DCI_P 52.37 | ||
| 383 | |||
| 384 | 19 | static double trc_smpte_st428_1(double Lc) | |
| 385 | { | ||
| 386 |
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19 | return (0.0 > Lc) ? 0.0 : pow(DCI_L / DCI_P * Lc, 1.0 / 2.6); |
| 387 | } | ||
| 388 | |||
| 389 | 19 | static double trc_smpte_st428_1_inv(double E) | |
| 390 | { | ||
| 391 |
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19 | return (0.0 > E) ? 0.0 : DCI_P / DCI_L * pow(E, 2.6); |
| 392 | } | ||
| 393 | |||
| 394 | #define HLG_a 0.17883277 | ||
| 395 | #define HLG_b 0.28466892 | ||
| 396 | #define HLG_c 0.55991073 | ||
| 397 | |||
| 398 | 799 | static double trc_arib_std_b67(double Lc) { | |
| 399 | // The function uses the definition from HEVC, which assumes that the peak | ||
| 400 | // white is input level = 1. (this is equivalent to scaling E = Lc * 12 and | ||
| 401 | // using the definition from the ARIB STD-B67 spec) | ||
| 402 | 799 | const double a = HLG_a; | |
| 403 | 799 | const double b = HLG_b; | |
| 404 | 799 | const double c = HLG_c; | |
| 405 |
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1594 | return (0.0 > Lc) ? 0.0 : |
| 406 |
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795 | (Lc <= 1.0 / 12.0 ? sqrt(3.0 * Lc) : a * log(12.0 * Lc - b) + c); |
| 407 | } | ||
| 408 | |||
| 409 | 799 | static double trc_arib_std_b67_inv(double E) | |
| 410 | { | ||
| 411 | 799 | const double a = HLG_a; | |
| 412 | 799 | const double b = HLG_b; | |
| 413 | 799 | const double c = HLG_c; | |
| 414 |
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1598 | return (0.0 > E) ? 0.0 : |
| 415 |
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799 | (E <= 0.5 ? E * E / 3.0 : (exp((E - c) / a) + b) / 12.0); |
| 416 | } | ||
| 417 | |||
| 418 | #define VLOG_c1 0.01 | ||
| 419 | #define VLOG_c2 0.181 | ||
| 420 | #define VLOG_b 0.00873 | ||
| 421 | #define VLOG_c 0.241514 | ||
| 422 | #define VLOG_d 0.598206 | ||
| 423 | |||
| 424 | 19 | static double trc_v_log(double E) | |
| 425 | { | ||
| 426 | 19 | const double c1 = VLOG_c1; | |
| 427 | 19 | const double b = VLOG_b; | |
| 428 | 19 | const double c = VLOG_c; | |
| 429 | 19 | const double d = VLOG_d; | |
| 430 |
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30 | return (E < c1) ? (5.6 * E + 0.125) : |
| 431 | 11 | (c * log10(E + b) + d); | |
| 432 | } | ||
| 433 | |||
| 434 | 19 | static double trc_v_log_inv(double E) | |
| 435 | { | ||
| 436 | 19 | const double c2 = VLOG_c2; | |
| 437 | 19 | const double b = VLOG_b; | |
| 438 | 19 | const double c = VLOG_c; | |
| 439 | 19 | const double d = VLOG_d; | |
| 440 |
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30 | return (E < c2) ? (E - 0.125) / 5.6 : |
| 441 | 11 | (pow(10.0, ((E - d) / c)) - b); | |
| 442 | } | ||
| 443 | |||
| 444 | static const av_csp_trc_function trc_funcs[AVCOL_TRC_NB] = { | ||
| 445 | [AVCOL_TRC_BT709] = trc_bt709, | ||
| 446 | [AVCOL_TRC_GAMMA22] = trc_gamma22, | ||
| 447 | [AVCOL_TRC_GAMMA28] = trc_gamma28, | ||
| 448 | [AVCOL_TRC_SMPTE170M] = trc_bt709, | ||
| 449 | [AVCOL_TRC_SMPTE240M] = trc_smpte240M, | ||
| 450 | [AVCOL_TRC_LINEAR] = trc_linear, | ||
| 451 | [AVCOL_TRC_LOG] = trc_log, | ||
| 452 | [AVCOL_TRC_LOG_SQRT] = trc_log_sqrt, | ||
| 453 | [AVCOL_TRC_IEC61966_2_4] = trc_iec61966_2_4, | ||
| 454 | [AVCOL_TRC_BT1361_ECG] = trc_bt1361, | ||
| 455 | [AVCOL_TRC_IEC61966_2_1] = trc_iec61966_2_1, | ||
| 456 | [AVCOL_TRC_BT2020_10] = trc_bt709, | ||
| 457 | [AVCOL_TRC_BT2020_12] = trc_bt709, | ||
| 458 | [AVCOL_TRC_SMPTE2084] = trc_smpte_st2084, | ||
| 459 | [AVCOL_TRC_SMPTE428] = trc_smpte_st428_1, | ||
| 460 | [AVCOL_TRC_ARIB_STD_B67] = trc_arib_std_b67, | ||
| 461 | }; | ||
| 462 | |||
| 463 | static const av_csp_trc_function trc_funcs_ext[AVCOL_TRC_EXT_NB - | ||
| 464 | AVCOL_TRC_EXT_BASE] = { | ||
| 465 | [AVCOL_TRC_V_LOG - AVCOL_TRC_EXT_BASE] = trc_v_log, | ||
| 466 | }; | ||
| 467 | |||
| 468 | 37459 | av_csp_trc_function av_csp_trc_func_from_id(enum AVColorTransferCharacteristic trc) | |
| 469 | { | ||
| 470 |
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37459 | if ((unsigned)trc < AVCOL_TRC_NB) |
| 471 | 37458 | return trc_funcs[trc]; | |
| 472 |
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1 | else if (((unsigned)trc >= AVCOL_TRC_EXT_BASE) && |
| 473 | ((unsigned)trc < AVCOL_TRC_EXT_NB)) | ||
| 474 | 1 | return trc_funcs_ext[trc - AVCOL_TRC_EXT_BASE]; | |
| 475 | ✗ | return NULL; | |
| 476 | } | ||
| 477 | |||
| 478 | static const av_csp_trc_function trc_inv_funcs[AVCOL_TRC_NB] = { | ||
| 479 | [AVCOL_TRC_BT709] = trc_bt709_inv, | ||
| 480 | [AVCOL_TRC_GAMMA22] = trc_gamma22_inv, | ||
| 481 | [AVCOL_TRC_GAMMA28] = trc_gamma28_inv, | ||
| 482 | [AVCOL_TRC_SMPTE170M] = trc_bt709_inv, | ||
| 483 | [AVCOL_TRC_SMPTE240M] = trc_smpte240M_inv, | ||
| 484 | [AVCOL_TRC_LINEAR] = trc_linear, | ||
| 485 | [AVCOL_TRC_LOG] = trc_log_inv, | ||
| 486 | [AVCOL_TRC_LOG_SQRT] = trc_log_sqrt_inv, | ||
| 487 | [AVCOL_TRC_IEC61966_2_4] = trc_iec61966_2_4_inv, | ||
| 488 | [AVCOL_TRC_BT1361_ECG] = trc_bt1361_inv, | ||
| 489 | [AVCOL_TRC_IEC61966_2_1] = trc_iec61966_2_1_inv, | ||
| 490 | [AVCOL_TRC_BT2020_10] = trc_bt709_inv, | ||
| 491 | [AVCOL_TRC_BT2020_12] = trc_bt709_inv, | ||
| 492 | [AVCOL_TRC_SMPTE2084] = trc_smpte_st2084_inv, | ||
| 493 | [AVCOL_TRC_SMPTE428] = trc_smpte_st428_1_inv, | ||
| 494 | [AVCOL_TRC_ARIB_STD_B67] = trc_arib_std_b67_inv, | ||
| 495 | }; | ||
| 496 | |||
| 497 | static const av_csp_trc_function trc_inv_funcs_ext[AVCOL_TRC_EXT_NB - | ||
| 498 | AVCOL_TRC_EXT_BASE] = { | ||
| 499 | [AVCOL_TRC_V_LOG - AVCOL_TRC_EXT_BASE] = trc_v_log_inv, | ||
| 500 | }; | ||
| 501 | |||
| 502 | 20 | av_csp_trc_function av_csp_trc_func_inv_from_id(enum AVColorTransferCharacteristic trc) | |
| 503 | { | ||
| 504 |
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20 | if ((unsigned)trc < AVCOL_TRC_NB) |
| 505 | 19 | return trc_inv_funcs[trc]; | |
| 506 |
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1 | else if (((unsigned)trc >= AVCOL_TRC_EXT_BASE) && |
| 507 | ((unsigned)trc < AVCOL_TRC_EXT_NB)) | ||
| 508 | 1 | return trc_inv_funcs_ext[trc - AVCOL_TRC_EXT_BASE]; | |
| 509 | ✗ | return NULL; | |
| 510 | } | ||
| 511 | |||
| 512 | 1040 | static void eotf_linear(const double Lw, const double Lb, double E[3]) | |
| 513 | { | ||
| 514 |
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4160 | for (int i = 0; i < 3; i++) |
| 515 | 3120 | E[i] = (Lw - Lb) * E[i] + Lb; | |
| 516 | 1040 | } | |
| 517 | |||
| 518 | 1040 | static void eotf_linear_inv(const double Lw, const double Lb, double L[3]) | |
| 519 | { | ||
| 520 |
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4160 | for (int i = 0; i < 3; i++) |
| 521 | 3120 | L[i] = (L[i] - Lb) / (Lw - Lb); | |
| 522 | 1040 | } | |
| 523 | |||
| 524 | #define WRAP_SDR_OETF(name) \ | ||
| 525 | static void oetf_##name(double L[3]) \ | ||
| 526 | { \ | ||
| 527 | for (int i = 0; i < 3; i++) \ | ||
| 528 | L[i] = trc_##name(L[i]); \ | ||
| 529 | } \ | ||
| 530 | \ | ||
| 531 | static void oetf_##name##_inv(double E[3]) \ | ||
| 532 | { \ | ||
| 533 | for (int i = 0; i < 3; i++) \ | ||
| 534 | E[i] = trc_##name##_inv(E[i]); \ | ||
| 535 | } | ||
| 536 | |||
| 537 |
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4160 | WRAP_SDR_OETF(gamma22) |
| 538 |
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4160 | WRAP_SDR_OETF(gamma28) |
| 539 |
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4160 | WRAP_SDR_OETF(iec61966_2_1) |
| 540 | |||
| 541 | #define WRAP_SDR_EOTF(name) \ | ||
| 542 | static void eotf_##name(double Lw, double Lb, double E[3]) \ | ||
| 543 | { \ | ||
| 544 | oetf_##name##_inv(E); \ | ||
| 545 | eotf_linear(Lw, Lb, E); \ | ||
| 546 | } \ | ||
| 547 | \ | ||
| 548 | static void eotf_##name##_inv(double Lw, double Lb, double L[3]) \ | ||
| 549 | { \ | ||
| 550 | eotf_linear_inv(Lw, Lb, L); \ | ||
| 551 | oetf_##name(L); \ | ||
| 552 | } | ||
| 553 | |||
| 554 | 1040 | WRAP_SDR_EOTF(gamma22) | |
| 555 | 1040 | WRAP_SDR_EOTF(gamma28) | |
| 556 | 1040 | WRAP_SDR_EOTF(iec61966_2_1) | |
| 557 | |||
| 558 | 1820 | static void eotf_bt1886(const double Lw, const double Lb, double E[3]) | |
| 559 | { | ||
| 560 | 1820 | const double Lw_inv = pow(Lw, 1.0 / 2.4); | |
| 561 | 1820 | const double Lb_inv = pow(Lb, 1.0 / 2.4); | |
| 562 | 1820 | const double a = pow(Lw_inv - Lb_inv, 2.4); | |
| 563 | 1820 | const double b = Lb_inv / (Lw_inv - Lb_inv); | |
| 564 | |||
| 565 |
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7280 | for (int i = 0; i < 3; i++) |
| 566 |
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5460 | E[i] = (-b > E[i]) ? 0.0 : a * pow(E[i] + b, 2.4); |
| 567 | 1820 | } | |
| 568 | |||
| 569 | 1820 | static void eotf_bt1886_inv(const double Lw, const double Lb, double L[3]) | |
| 570 | { | ||
| 571 | 1820 | const double Lw_inv = pow(Lw, 1.0 / 2.4); | |
| 572 | 1820 | const double Lb_inv = pow(Lb, 1.0 / 2.4); | |
| 573 | 1820 | const double a = pow(Lw_inv - Lb_inv, 2.4); | |
| 574 | 1820 | const double b = Lb_inv / (Lw_inv - Lb_inv); | |
| 575 | |||
| 576 |
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7280 | for (int i = 0; i < 3; i++) |
| 577 |
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5460 | L[i] = (0.0 > L[i]) ? 0.0 : pow(L[i] / a, 1.0 / 2.4) - b; |
| 578 | 1820 | } | |
| 579 | |||
| 580 | ✗ | static void eotf_smpte_st2084(const double Lw, const double Lb, double E[3]) | |
| 581 | { | ||
| 582 | ✗ | for (int i = 0; i < 3; i++) | |
| 583 | ✗ | E[i] = trc_smpte_st2084_inv(E[i]); | |
| 584 | ✗ | } | |
| 585 | |||
| 586 | ✗ | static void eotf_smpte_st2084_inv(const double Lw, const double Lb, double L[3]) | |
| 587 | { | ||
| 588 | ✗ | for (int i = 0; i < 3; i++) | |
| 589 | ✗ | L[i] = trc_smpte_st2084(L[i]); | |
| 590 | ✗ | } | |
| 591 | |||
| 592 | /* This implementation assumes an SMPTE RP 431-2 reference projector (DCI) */ | ||
| 593 | #define DCI_L 48.00 | ||
| 594 | #define DCI_P 52.37 | ||
| 595 | #define DCI_X (42.94 / DCI_L) | ||
| 596 | #define DCI_Z (45.82 / DCI_L) | ||
| 597 | |||
| 598 | 10 | static void eotf_smpte_st428_1(const double Lw_Y, const double Lb_Y, double E[3]) | |
| 599 | { | ||
| 600 | 10 | const double Lw[3] = { DCI_X * Lw_Y, Lw_Y, DCI_Z * Lw_Y }; | |
| 601 | 10 | const double Lb[3] = { DCI_X * Lb_Y, Lb_Y, DCI_Z * Lb_Y }; | |
| 602 | |||
| 603 |
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40 | for (int i = 0; i < 3; i++) { |
| 604 |
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30 | E[i] = (0.0 > E[i]) ? 0.0 : pow(E[i], 2.6) * DCI_P / DCI_L; |
| 605 | 30 | E[i] = E[i] * (Lw[i] - Lb[i]) + Lb[i]; | |
| 606 | } | ||
| 607 | 10 | } | |
| 608 | |||
| 609 | ✗ | static void eotf_smpte_st428_1_inv(const double Lw_Y, const double Lb_Y, double L[3]) | |
| 610 | { | ||
| 611 | ✗ | const double Lw[3] = { DCI_X * Lw_Y, Lw_Y, DCI_Z * Lw_Y }; | |
| 612 | ✗ | const double Lb[3] = { DCI_X * Lb_Y, Lb_Y, DCI_Z * Lb_Y }; | |
| 613 | |||
| 614 | ✗ | for (int i = 0; i < 3; i++) { | |
| 615 | ✗ | L[i] = (L[i] - Lb[i]) / (Lw[i] - Lb[i]); | |
| 616 | ✗ | L[i] = (0.0 > L[i]) ? 0.0 : pow(L[i] * DCI_L / DCI_P, 1.0 / 2.6); | |
| 617 | } | ||
| 618 | ✗ | } | |
| 619 | |||
| 620 | 260 | static void eotf_arib_std_b67(const double Lw, const double Lb, double E[3]) | |
| 621 | { | ||
| 622 | 260 | const double gamma = fmax(1.2 + 0.42 * log10(Lw / 1000.0), 1.0); | |
| 623 | |||
| 624 | /** | ||
| 625 | * Note: This equation is technically only accurate if the contrast ratio | ||
| 626 | * Lw:Lb is greater than 12:1; otherwise we would need to use a different, | ||
| 627 | * significantly more complicated solution. Ignore this as a highly | ||
| 628 | * degenerate case, since any real world reference display will have a | ||
| 629 | * static contrast ratio multiple orders of magnitude higher. | ||
| 630 | */ | ||
| 631 | 260 | const double beta = sqrt(3 * pow(Lb / Lw, 1.0 / gamma)); | |
| 632 | double luma; | ||
| 633 | |||
| 634 |
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1040 | for (int i = 0; i < 3; i++) |
| 635 | 780 | E[i] = trc_arib_std_b67_inv((1 - beta) * E[i] + beta); | |
| 636 | |||
| 637 | 260 | luma = 0.2627 * E[0] + 0.6780 * E[1] + 0.0593 * E[2]; | |
| 638 | 260 | luma = pow(fmax(luma, 0.0), gamma - 1.0); | |
| 639 |
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1040 | for (int i = 0; i < 3; i++) |
| 640 | 780 | E[i] *= Lw * luma; | |
| 641 | 260 | } | |
| 642 | |||
| 643 | 260 | static void eotf_arib_std_b67_inv(const double Lw, const double Lb, double L[3]) | |
| 644 | { | ||
| 645 | 260 | const double gamma = fmax(1.2 + 0.42 * log10(Lw / 1000.0), 1.0); | |
| 646 | 260 | const double beta = sqrt(3 * pow(Lb / Lw, 1 / gamma)); | |
| 647 | 260 | double luma = 0.2627 * L[0] + 0.6780 * L[1] + 0.0593 * L[2]; | |
| 648 | |||
| 649 |
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260 | if (luma > 0.0) { |
| 650 | 250 | luma = pow(luma / Lw, (1 - gamma) / gamma); | |
| 651 |
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1000 | for (int i = 0; i < 3; i++) |
| 652 | 750 | L[i] *= luma / Lw; | |
| 653 | } else { | ||
| 654 | 10 | L[0] = L[1] = L[2] = 0.0; | |
| 655 | } | ||
| 656 | |||
| 657 |
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1040 | for (int i = 0; i < 3; i++) |
| 658 | 780 | L[i] = (trc_arib_std_b67(L[i]) - beta) / (1 - beta); | |
| 659 | 260 | } | |
| 660 | |||
| 661 | static const av_csp_eotf_function eotf_funcs[AVCOL_TRC_NB] = { | ||
| 662 | [AVCOL_TRC_BT709] = eotf_bt1886, | ||
| 663 | [AVCOL_TRC_GAMMA22] = eotf_gamma22, | ||
| 664 | [AVCOL_TRC_GAMMA28] = eotf_gamma28, | ||
| 665 | [AVCOL_TRC_SMPTE170M] = eotf_bt1886, | ||
| 666 | [AVCOL_TRC_SMPTE240M] = eotf_bt1886, | ||
| 667 | [AVCOL_TRC_LINEAR] = eotf_linear, | ||
| 668 | /* There is no EOTF associated with these logarithmic encodings, since they | ||
| 669 | * are defined purely for transmission of scene referred data. */ | ||
| 670 | [AVCOL_TRC_LOG] = NULL, | ||
| 671 | [AVCOL_TRC_LOG_SQRT] = NULL, | ||
| 672 | /* BT.1886 is already defined for values below 0.0, as far as physically | ||
| 673 | * meaningful, so we can directly use it for extended range encodings */ | ||
| 674 | [AVCOL_TRC_IEC61966_2_4] = eotf_bt1886, | ||
| 675 | [AVCOL_TRC_BT1361_ECG] = eotf_bt1886, | ||
| 676 | [AVCOL_TRC_IEC61966_2_1] = eotf_iec61966_2_1, | ||
| 677 | [AVCOL_TRC_BT2020_10] = eotf_bt1886, | ||
| 678 | [AVCOL_TRC_BT2020_12] = eotf_bt1886, | ||
| 679 | [AVCOL_TRC_SMPTE2084] = eotf_smpte_st2084, | ||
| 680 | [AVCOL_TRC_SMPTE428] = eotf_smpte_st428_1, | ||
| 681 | [AVCOL_TRC_ARIB_STD_B67] = eotf_arib_std_b67, | ||
| 682 | }; | ||
| 683 | |||
| 684 | 156362 | av_csp_eotf_function av_csp_itu_eotf(enum AVColorTransferCharacteristic trc) | |
| 685 | { | ||
| 686 |
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156362 | if ((unsigned)trc >= AVCOL_TRC_NB) |
| 687 | 1 | return NULL; | |
| 688 | 156361 | return eotf_funcs[trc]; | |
| 689 | } | ||
| 690 | |||
| 691 | static const av_csp_eotf_function eotf_inv_funcs[AVCOL_TRC_NB] = { | ||
| 692 | [AVCOL_TRC_BT709] = eotf_bt1886_inv, | ||
| 693 | [AVCOL_TRC_GAMMA22] = eotf_gamma22_inv, | ||
| 694 | [AVCOL_TRC_GAMMA28] = eotf_gamma28_inv, | ||
| 695 | [AVCOL_TRC_SMPTE170M] = eotf_bt1886_inv, | ||
| 696 | [AVCOL_TRC_SMPTE240M] = eotf_bt1886_inv, | ||
| 697 | [AVCOL_TRC_LINEAR] = eotf_linear_inv, | ||
| 698 | [AVCOL_TRC_LOG] = NULL, | ||
| 699 | [AVCOL_TRC_LOG_SQRT] = NULL, | ||
| 700 | [AVCOL_TRC_IEC61966_2_4] = eotf_bt1886_inv, | ||
| 701 | [AVCOL_TRC_BT1361_ECG] = eotf_bt1886_inv, | ||
| 702 | [AVCOL_TRC_IEC61966_2_1] = eotf_iec61966_2_1_inv, | ||
| 703 | [AVCOL_TRC_BT2020_10] = eotf_bt1886_inv, | ||
| 704 | [AVCOL_TRC_BT2020_12] = eotf_bt1886_inv, | ||
| 705 | [AVCOL_TRC_SMPTE2084] = eotf_smpte_st2084_inv, | ||
| 706 | [AVCOL_TRC_SMPTE428] = eotf_smpte_st428_1_inv, | ||
| 707 | [AVCOL_TRC_ARIB_STD_B67] = eotf_arib_std_b67_inv, | ||
| 708 | }; | ||
| 709 | |||
| 710 | 156362 | av_csp_eotf_function av_csp_itu_eotf_inv(enum AVColorTransferCharacteristic trc) | |
| 711 | { | ||
| 712 |
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156362 | if ((unsigned)trc >= AVCOL_TRC_NB) |
| 713 | 1 | return NULL; | |
| 714 | 156361 | return eotf_inv_funcs[trc]; | |
| 715 | } | ||
| 716 |