[FFmpeg-devel] [PATCH v2 4/6] avutil/csp: add av_csp_trc_inv_from_id()
Niklas Haas
ffmpeg at haasn.xyz
Sat Nov 30 16:23:49 EET 2024
From: Niklas Haas <git at haasn.dev>
Mathematical inverse of av_csp_trc_from_id(), plus testing to make sure it
roundtrips correctly with the corresponding TRC.
---
doc/APIchanges | 3 +
libavutil/csp.c | 155 ++++++++-
libavutil/csp.h | 5 +
libavutil/tests/color_utils.c | 13 +-
libavutil/version.h | 4 +-
tests/ref/fate/color_utils | 608 +++++++++++++++++-----------------
6 files changed, 470 insertions(+), 318 deletions(-)
diff --git a/doc/APIchanges b/doc/APIchanges
index fac0fff8ea..db72121a61 100644
--- a/doc/APIchanges
+++ b/doc/APIchanges
@@ -2,6 +2,9 @@ The last version increases of all libraries were on 2024-03-07
API changes, most recent first:
+2024-11-25 - xxxxxxxxxx - lavu 59.48.100 - csp.h
+ Add av_csp_trc_func_inv_from_id().
+
2024-11-25 - xxxxxxxxxx - lsws 8.12.100 - swscale.h
Allow using sws_frame_scale() dynamically, without first initializing the
SwsContext. Deprecate sws_init_context(). Add sws_frame_setup() instead.
diff --git a/libavutil/csp.c b/libavutil/csp.c
index 3dd7bc2562..fe45c611dd 100644
--- a/libavutil/csp.c
+++ b/libavutil/csp.c
@@ -170,16 +170,36 @@ static double trc_bt709(double Lc)
: a * pow(Lc, 0.45) - (a - 1.0);
}
+static double trc_bt709_inv(double E)
+{
+ const double a = BT709_alpha;
+ const double b = 4.500 * BT709_beta;
+
+ return (0.0 > E) ? 0.0
+ : ( b > E) ? E / 4.500
+ : pow((E + (a - 1.0)) / a, 1.0 / 0.45);
+}
+
static double trc_gamma22(double Lc)
{
return (0.0 > Lc) ? 0.0 : pow(Lc, 1.0/ 2.2);
}
+static double trc_gamma22_inv(double E)
+{
+ return (0.0 > E) ? 0.0 : pow(E, 2.2);
+}
+
static double trc_gamma28(double Lc)
{
return (0.0 > Lc) ? 0.0 : pow(Lc, 1.0/ 2.8);
}
+static double trc_gamma28_inv(double E)
+{
+ return (0.0 > E) ? 0.0 : pow(E, 2.8);
+}
+
static double trc_smpte240M(double Lc)
{
const double a = 1.1115;
@@ -190,6 +210,16 @@ static double trc_smpte240M(double Lc)
: a * pow(Lc, 0.45) - (a - 1.0);
}
+static double trc_smpte240M_inv(double E)
+{
+ const double a = 1.1115;
+ const double b = 4.000 * 0.0228;
+
+ return (0.0 > E) ? 0.0
+ : ( b > E) ? E / 4.000
+ : pow((E + (a - 1.0)) / a, 1.0 / 0.45);
+}
+
static double trc_linear(double Lc)
{
return Lc;
@@ -200,12 +230,22 @@ static double trc_log(double Lc)
return (0.01 > Lc) ? 0.0 : 1.0 + log10(Lc) / 2.0;
}
+static double trc_log_inv(double E)
+{
+ return (0.0 > E) ? 0.01 : pow(10.0, 2.0 * (E - 1.0));
+}
+
static double trc_log_sqrt(double Lc)
{
// sqrt(10) / 1000
return (0.00316227766 > Lc) ? 0.0 : 1.0 + log10(Lc) / 2.5;
}
+static double trc_log_sqrt_inv(double E)
+{
+ return (0.0 > E) ? 0.00316227766 : pow(10.0, 2.5 * (E - 1.0));
+}
+
static double trc_iec61966_2_4(double Lc)
{
const double a = BT709_alpha;
@@ -216,6 +256,16 @@ static double trc_iec61966_2_4(double Lc)
: a * pow( Lc, 0.45) - (a - 1.0);
}
+static double trc_iec61966_2_4_inv(double E)
+{
+ const double a = BT709_alpha;
+ const double b = 4.500 * BT709_beta;
+
+ return (-b >= E) ? -pow((-E + (a - 1.0)) / a, 1.0 / 0.45)
+ : ( b > E) ? E / 4.500
+ : pow(( E + (a - 1.0)) / a, 1.0 / 0.45);
+}
+
static double trc_bt1361(double Lc)
{
const double a = BT709_alpha;
@@ -226,6 +276,16 @@ static double trc_bt1361(double Lc)
: a * pow( Lc, 0.45) - (a - 1.0);
}
+static double trc_bt1361_inv(double E)
+{
+ const double a = BT709_alpha;
+ const double b = 4.500 * BT709_beta;
+
+ return (-0.02025 >= E) ? -pow((-4.0 * E - (a - 1.0)) / a, 1.0 / 0.45) / 4.0
+ : ( b > E) ? E / 4.500
+ : pow(( E + (a - 1.0)) / a, 1.0 / 0.45);
+}
+
static double trc_iec61966_2_1(double Lc)
{
const double a = 1.055;
@@ -236,13 +296,30 @@ static double trc_iec61966_2_1(double Lc)
: a * pow(Lc, 1.0 / 2.4) - (a - 1.0);
}
+static double trc_iec61966_2_1_inv(double E)
+{
+ const double a = 1.055;
+ const double b = 12.92 * 0.0031308;
+
+ return (0.0 > E) ? 0.0
+ : ( b > E) ? E / 12.92
+ : pow((E + (a - 1.0)) / a, 2.4);
+ return E;
+}
+
+#define PQ_c1 ( 3424.0 / 4096.0) /* c3-c2 + 1 */
+#define PQ_c2 ( 32.0 * 2413.0 / 4096.0)
+#define PQ_c3 ( 32.0 * 2392.0 / 4096.0)
+#define PQ_m (128.0 * 2523.0 / 4096.0)
+#define PQ_n ( 0.25 * 2610.0 / 4096.0)
+
static double trc_smpte_st2084(double Lc)
{
- const double c1 = 3424.0 / 4096.0; // c3-c2 + 1
- const double c2 = 32.0 * 2413.0 / 4096.0;
- const double c3 = 32.0 * 2392.0 / 4096.0;
- const double m = 128.0 * 2523.0 / 4096.0;
- const double n = 0.25 * 2610.0 / 4096.0;
+ const double c1 = PQ_c1;
+ const double c2 = PQ_c2;
+ const double c3 = PQ_c3;
+ const double m = PQ_m;
+ const double n = PQ_n;
const double L = Lc / 10000.0;
const double Ln = pow(L, n);
@@ -251,24 +328,56 @@ static double trc_smpte_st2084(double Lc)
}
+static double trc_smpte_st2084_inv(double E)
+{
+ const double c1 = PQ_c1;
+ const double c2 = PQ_c2;
+ const double c3 = PQ_c3;
+ const double m = PQ_m;
+ const double n = PQ_n;
+ const double Em = pow(E, 1.0 / m);
+
+ return (c1 > Em) ? 0.0
+ : 10000.0 * pow((Em - c1) / (c2 - c3 * Em), 1.0 / n);
+}
+
+#define DCI_L 48.00
+#define DCI_P 52.37
+
static double trc_smpte_st428_1(double Lc)
{
- return (0.0 > Lc) ? 0.0
- : pow(48.0 * Lc / 52.37, 1.0 / 2.6);
+ return (0.0 > Lc) ? 0.0 : pow(DCI_L / DCI_P * Lc, 1.0 / 2.6);
}
+static double trc_smpte_st428_1_inv(double E)
+{
+ return (0.0 > E) ? 0.0 : DCI_P / DCI_L * pow(E, 2.6);
+}
+
+#define HLG_a 0.17883277
+#define HLG_b 0.28466892
+#define HLG_c 0.55991073
static double trc_arib_std_b67(double Lc) {
// The function uses the definition from HEVC, which assumes that the peak
// white is input level = 1. (this is equivalent to scaling E = Lc * 12 and
// using the definition from the ARIB STD-B67 spec)
- const double a = 0.17883277;
- const double b = 0.28466892;
- const double c = 0.55991073;
+ const double a = HLG_a;
+ const double b = HLG_b;
+ const double c = HLG_c;
return (0.0 > Lc) ? 0.0 :
(Lc <= 1.0 / 12.0 ? sqrt(3.0 * Lc) : a * log(12.0 * Lc - b) + c);
}
+static double trc_arib_std_b67_inv(double E)
+{
+ const double a = HLG_a;
+ const double b = HLG_b;
+ const double c = HLG_c;
+ return (0.0 > E) ? 0.0 :
+ (E <= 0.5 ? E * E / 3.0 : (exp((E - c) / a) + b) / 12.0);
+}
+
static const av_csp_trc_function trc_funcs[AVCOL_TRC_NB] = {
[AVCOL_TRC_BT709] = trc_bt709,
[AVCOL_TRC_GAMMA22] = trc_gamma22,
@@ -294,3 +403,29 @@ av_csp_trc_function av_csp_trc_func_from_id(enum AVColorTransferCharacteristic t
return NULL;
return trc_funcs[trc];
}
+
+static const av_csp_trc_function trc_inv_funcs[AVCOL_TRC_NB] = {
+ [AVCOL_TRC_BT709] = trc_bt709_inv,
+ [AVCOL_TRC_GAMMA22] = trc_gamma22_inv,
+ [AVCOL_TRC_GAMMA28] = trc_gamma28_inv,
+ [AVCOL_TRC_SMPTE170M] = trc_bt709_inv,
+ [AVCOL_TRC_SMPTE240M] = trc_smpte240M_inv,
+ [AVCOL_TRC_LINEAR] = trc_linear,
+ [AVCOL_TRC_LOG] = trc_log_inv,
+ [AVCOL_TRC_LOG_SQRT] = trc_log_sqrt_inv,
+ [AVCOL_TRC_IEC61966_2_4] = trc_iec61966_2_4_inv,
+ [AVCOL_TRC_BT1361_ECG] = trc_bt1361_inv,
+ [AVCOL_TRC_IEC61966_2_1] = trc_iec61966_2_1_inv,
+ [AVCOL_TRC_BT2020_10] = trc_bt709_inv,
+ [AVCOL_TRC_BT2020_12] = trc_bt709_inv,
+ [AVCOL_TRC_SMPTE2084] = trc_smpte_st2084_inv,
+ [AVCOL_TRC_SMPTE428] = trc_smpte_st428_1_inv,
+ [AVCOL_TRC_ARIB_STD_B67] = trc_arib_std_b67_inv,
+};
+
+av_csp_trc_function av_csp_trc_func_inv_from_id(enum AVColorTransferCharacteristic trc)
+{
+ if (trc >= AVCOL_TRC_NB)
+ return NULL;
+ return trc_inv_funcs[trc];
+}
diff --git a/libavutil/csp.h b/libavutil/csp.h
index bc8f3dc9f6..58deebcb44 100644
--- a/libavutil/csp.h
+++ b/libavutil/csp.h
@@ -147,6 +147,11 @@ double av_csp_approximate_trc_gamma(enum AVColorTransferCharacteristic trc);
*/
av_csp_trc_function av_csp_trc_func_from_id(enum AVColorTransferCharacteristic trc);
+/**
+ * Returns the mathematical inverse of the corresponding TRC function.
+ */
+av_csp_trc_function av_csp_trc_func_inv_from_id(enum AVColorTransferCharacteristic trc);
+
/**
* @}
*/
diff --git a/libavutil/tests/color_utils.c b/libavutil/tests/color_utils.c
index e1754f3603..9881cd2489 100644
--- a/libavutil/tests/color_utils.c
+++ b/libavutil/tests/color_utils.c
@@ -18,7 +18,9 @@
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
+#include <math.h>
#include <stdio.h>
+
#include "libavutil/csp.h"
#include "libavutil/macros.h"
#include "libavutil/pixdesc.h"
@@ -34,14 +36,21 @@ int main(int argc, char *argv[])
for (enum AVColorTransferCharacteristic trc = 0; trc < AVCOL_TRC_NB; trc++) {
av_csp_trc_function func = av_csp_trc_func_from_id(trc);
+ av_csp_trc_function func_inv = av_csp_trc_func_inv_from_id(trc);
const char *name = av_color_transfer_name(trc);
if (!func)
continue;
for (int i = 0; i < FF_ARRAY_ELEMS(test_data); i++) {
double result = func(test_data[i]);
- printf("trc=%s calling func(%f) expected=%f\n",
- name, test_data[i], result);
+ double roundtrip = func_inv(result);
+ printf("trc=%s calling func(%f) expected=%f roundtrip=%f\n",
+ name, test_data[i], result, roundtrip);
+
+ if (result > 0.0 && fabs(roundtrip - test_data[i]) > 1e-8) {
+ printf(" FAIL\n");
+ return 1;
+ }
}
}
}
diff --git a/libavutil/version.h b/libavutil/version.h
index 6a4abcf7f5..efc569e090 100644
--- a/libavutil/version.h
+++ b/libavutil/version.h
@@ -79,8 +79,8 @@
*/
#define LIBAVUTIL_VERSION_MAJOR 59
-#define LIBAVUTIL_VERSION_MINOR 47
-#define LIBAVUTIL_VERSION_MICRO 101
+#define LIBAVUTIL_VERSION_MINOR 48
+#define LIBAVUTIL_VERSION_MICRO 100
#define LIBAVUTIL_VERSION_INT AV_VERSION_INT(LIBAVUTIL_VERSION_MAJOR, \
LIBAVUTIL_VERSION_MINOR, \
diff --git a/tests/ref/fate/color_utils b/tests/ref/fate/color_utils
index 34f97d53b6..09fbbd60d6 100644
--- a/tests/ref/fate/color_utils
+++ b/tests/ref/fate/color_utils
@@ -1,304 +1,304 @@
-trc=bt709 calling func(-0.100000) expected=0.000000
-trc=bt709 calling func(-0.018054) expected=0.000000
-trc=bt709 calling func(-0.010000) expected=0.000000
-trc=bt709 calling func(-0.004490) expected=0.000000
-trc=bt709 calling func(0.000000) expected=0.000000
-trc=bt709 calling func(0.003162) expected=0.014230
-trc=bt709 calling func(0.005000) expected=0.022500
-trc=bt709 calling func(0.009000) expected=0.040500
-trc=bt709 calling func(0.015000) expected=0.067500
-trc=bt709 calling func(0.100000) expected=0.290748
-trc=bt709 calling func(1.000000) expected=1.000000
-trc=bt709 calling func(52.370000) expected=6.427531
-trc=bt709 calling func(125.098765) expected=9.558517
-trc=bt709 calling func(1999.111230) expected=33.512490
-trc=bt709 calling func(6945.443000) expected=58.768794
-trc=bt709 calling func(15123.456700) expected=83.452916
-trc=bt709 calling func(19845.889230) expected=94.321297
-trc=bt709 calling func(98678.423100) expected=194.219568
-trc=bt709 calling func(99999.899998) expected=195.386306
-trc=bt470m calling func(-0.100000) expected=0.000000
-trc=bt470m calling func(-0.018054) expected=0.000000
-trc=bt470m calling func(-0.010000) expected=0.000000
-trc=bt470m calling func(-0.004490) expected=0.000000
-trc=bt470m calling func(0.000000) expected=0.000000
-trc=bt470m calling func(0.003162) expected=0.073053
-trc=bt470m calling func(0.005000) expected=0.089966
-trc=bt470m calling func(0.009000) expected=0.117520
-trc=bt470m calling func(0.015000) expected=0.148235
-trc=bt470m calling func(0.100000) expected=0.351119
-trc=bt470m calling func(1.000000) expected=1.000000
-trc=bt470m calling func(52.370000) expected=6.045068
-trc=bt470m calling func(125.098765) expected=8.980424
-trc=bt470m calling func(1999.111230) expected=31.650490
-trc=bt470m calling func(6945.443000) expected=55.747738
-trc=bt470m calling func(15123.456700) expected=79.403820
-trc=bt470m calling func(19845.889230) expected=89.843491
-trc=bt470m calling func(98678.423100) expected=186.252024
-trc=bt470m calling func(99999.899998) expected=187.381657
-trc=bt470bg calling func(-0.100000) expected=0.000000
-trc=bt470bg calling func(-0.018054) expected=0.000000
-trc=bt470bg calling func(-0.010000) expected=0.000000
-trc=bt470bg calling func(-0.004490) expected=0.000000
-trc=bt470bg calling func(0.000000) expected=0.000000
-trc=bt470bg calling func(0.003162) expected=0.127980
-trc=bt470bg calling func(0.005000) expected=0.150731
-trc=bt470bg calling func(0.009000) expected=0.185940
-trc=bt470bg calling func(0.015000) expected=0.223154
-trc=bt470bg calling func(0.100000) expected=0.439397
-trc=bt470bg calling func(1.000000) expected=1.000000
-trc=bt470bg calling func(52.370000) expected=4.111100
-trc=bt470bg calling func(125.098765) expected=5.610724
-trc=bt470bg calling func(1999.111230) expected=15.096294
-trc=bt470bg calling func(6945.443000) expected=23.552429
-trc=bt470bg calling func(15123.456700) expected=31.098005
-trc=bt470bg calling func(19845.889230) expected=34.267494
-trc=bt470bg calling func(98678.423100) expected=60.764620
-trc=bt470bg calling func(99999.899998) expected=61.054001
-trc=smpte170m calling func(-0.100000) expected=0.000000
-trc=smpte170m calling func(-0.018054) expected=0.000000
-trc=smpte170m calling func(-0.010000) expected=0.000000
-trc=smpte170m calling func(-0.004490) expected=0.000000
-trc=smpte170m calling func(0.000000) expected=0.000000
-trc=smpte170m calling func(0.003162) expected=0.014230
-trc=smpte170m calling func(0.005000) expected=0.022500
-trc=smpte170m calling func(0.009000) expected=0.040500
-trc=smpte170m calling func(0.015000) expected=0.067500
-trc=smpte170m calling func(0.100000) expected=0.290748
-trc=smpte170m calling func(1.000000) expected=1.000000
-trc=smpte170m calling func(52.370000) expected=6.427531
-trc=smpte170m calling func(125.098765) expected=9.558517
-trc=smpte170m calling func(1999.111230) expected=33.512490
-trc=smpte170m calling func(6945.443000) expected=58.768794
-trc=smpte170m calling func(15123.456700) expected=83.452916
-trc=smpte170m calling func(19845.889230) expected=94.321297
-trc=smpte170m calling func(98678.423100) expected=194.219568
-trc=smpte170m calling func(99999.899998) expected=195.386306
-trc=smpte240m calling func(-0.100000) expected=0.000000
-trc=smpte240m calling func(-0.018054) expected=0.000000
-trc=smpte240m calling func(-0.010000) expected=0.000000
-trc=smpte240m calling func(-0.004490) expected=0.000000
-trc=smpte240m calling func(0.000000) expected=0.000000
-trc=smpte240m calling func(0.003162) expected=0.012649
-trc=smpte240m calling func(0.005000) expected=0.020000
-trc=smpte240m calling func(0.009000) expected=0.036000
-trc=smpte240m calling func(0.015000) expected=0.060000
-trc=smpte240m calling func(0.100000) expected=0.282875
-trc=smpte240m calling func(1.000000) expected=1.000000
-trc=smpte240m calling func(52.370000) expected=6.487781
-trc=smpte240m calling func(125.098765) expected=9.653524
-trc=smpte240m calling func(1999.111230) expected=33.873408
-trc=smpte240m calling func(6945.443000) expected=59.410079
-trc=smpte240m calling func(15123.456700) expected=84.368216
-trc=smpte240m calling func(19845.889230) expected=95.357247
-trc=smpte240m calling func(98678.423100) expected=196.364477
-trc=smpte240m calling func(99999.899998) expected=197.544167
-trc=linear calling func(-0.100000) expected=-0.100000
-trc=linear calling func(-0.018054) expected=-0.018054
-trc=linear calling func(-0.010000) expected=-0.010000
-trc=linear calling func(-0.004490) expected=-0.004490
-trc=linear calling func(0.000000) expected=0.000000
-trc=linear calling func(0.003162) expected=0.003162
-trc=linear calling func(0.005000) expected=0.005000
-trc=linear calling func(0.009000) expected=0.009000
-trc=linear calling func(0.015000) expected=0.015000
-trc=linear calling func(0.100000) expected=0.100000
-trc=linear calling func(1.000000) expected=1.000000
-trc=linear calling func(52.370000) expected=52.370000
-trc=linear calling func(125.098765) expected=125.098765
-trc=linear calling func(1999.111230) expected=1999.111230
-trc=linear calling func(6945.443000) expected=6945.443000
-trc=linear calling func(15123.456700) expected=15123.456700
-trc=linear calling func(19845.889230) expected=19845.889230
-trc=linear calling func(98678.423100) expected=98678.423100
-trc=linear calling func(99999.899998) expected=99999.899998
-trc=log100 calling func(-0.100000) expected=0.000000
-trc=log100 calling func(-0.018054) expected=0.000000
-trc=log100 calling func(-0.010000) expected=0.000000
-trc=log100 calling func(-0.004490) expected=0.000000
-trc=log100 calling func(0.000000) expected=0.000000
-trc=log100 calling func(0.003162) expected=0.000000
-trc=log100 calling func(0.005000) expected=0.000000
-trc=log100 calling func(0.009000) expected=0.000000
-trc=log100 calling func(0.015000) expected=0.088046
-trc=log100 calling func(0.100000) expected=0.500000
-trc=log100 calling func(1.000000) expected=1.000000
-trc=log100 calling func(52.370000) expected=1.859541
-trc=log100 calling func(125.098765) expected=2.048627
-trc=log100 calling func(1999.111230) expected=2.650418
-trc=log100 calling func(6945.443000) expected=2.920850
-trc=log100 calling func(15123.456700) expected=3.089826
-trc=log100 calling func(19845.889230) expected=3.148835
-trc=log100 calling func(98678.423100) expected=3.497111
-trc=log100 calling func(99999.899998) expected=3.500000
-trc=log316 calling func(-0.100000) expected=0.000000
-trc=log316 calling func(-0.018054) expected=0.000000
-trc=log316 calling func(-0.010000) expected=0.000000
-trc=log316 calling func(-0.004490) expected=0.000000
-trc=log316 calling func(0.000000) expected=0.000000
-trc=log316 calling func(0.003162) expected=0.000000
-trc=log316 calling func(0.005000) expected=0.079588
-trc=log316 calling func(0.009000) expected=0.181697
-trc=log316 calling func(0.015000) expected=0.270437
-trc=log316 calling func(0.100000) expected=0.600000
-trc=log316 calling func(1.000000) expected=1.000000
-trc=log316 calling func(52.370000) expected=1.687633
-trc=log316 calling func(125.098765) expected=1.838901
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-trc=iec61966-2-4 calling func(-0.018054) expected=-0.081243
-trc=iec61966-2-4 calling func(-0.010000) expected=-0.045000
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-trc=iec61966-2-4 calling func(0.100000) expected=0.290748
-trc=iec61966-2-4 calling func(1.000000) expected=1.000000
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-trc=iec61966-2-4 calling func(125.098765) expected=9.558517
-trc=iec61966-2-4 calling func(1999.111230) expected=33.512490
-trc=iec61966-2-4 calling func(6945.443000) expected=58.768794
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-trc=iec61966-2-4 calling func(19845.889230) expected=94.321297
-trc=iec61966-2-4 calling func(98678.423100) expected=194.219568
-trc=iec61966-2-4 calling func(99999.899998) expected=195.386306
-trc=bt1361e calling func(-0.100000) expected=-0.206787
-trc=bt1361e calling func(-0.018054) expected=-0.109049
-trc=bt1361e calling func(-0.010000) expected=-0.089387
-trc=bt1361e calling func(-0.004490) expected=-0.020205
-trc=bt1361e calling func(0.000000) expected=0.000000
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-trc=bt1361e calling func(0.100000) expected=0.290748
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-trc=bt1361e calling func(52.370000) expected=6.427531
-trc=bt1361e calling func(125.098765) expected=9.558517
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-trc=bt1361e calling func(99999.899998) expected=195.386306
-trc=iec61966-2-1 calling func(-0.100000) expected=0.000000
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-trc=iec61966-2-1 calling func(0.009000) expected=0.093202
-trc=iec61966-2-1 calling func(0.015000) expected=0.128354
-trc=iec61966-2-1 calling func(0.100000) expected=0.349190
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-trc=iec61966-2-1 calling func(52.370000) expected=5.434552
-trc=iec61966-2-1 calling func(125.098765) expected=7.835561
-trc=iec61966-2-1 calling func(1999.111230) expected=24.983090
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-trc=bt2020-10 calling func(-0.100000) expected=0.000000
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-trc=bt2020-10 calling func(52.370000) expected=6.427531
-trc=bt2020-10 calling func(125.098765) expected=9.558517
-trc=bt2020-10 calling func(1999.111230) expected=33.512490
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-trc=bt2020-10 calling func(15123.456700) expected=83.452916
-trc=bt2020-10 calling func(19845.889230) expected=94.321297
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-trc=bt2020-12 calling func(-0.018054) expected=0.000000
-trc=bt2020-12 calling func(-0.010000) expected=0.000000
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-trc=bt2020-12 calling func(0.009000) expected=0.040500
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-trc=bt2020-12 calling func(0.100000) expected=0.290748
-trc=bt2020-12 calling func(1.000000) expected=1.000000
-trc=bt2020-12 calling func(52.370000) expected=6.427531
-trc=bt2020-12 calling func(125.098765) expected=9.558517
-trc=bt2020-12 calling func(1999.111230) expected=33.512490
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-trc=bt2020-12 calling func(15123.456700) expected=83.452916
-trc=bt2020-12 calling func(19845.889230) expected=94.321297
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-trc=smpte2084 calling func(-0.010000) expected=0.000000
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-trc=smpte2084 calling func(0.005000) expected=0.015076
-trc=smpte2084 calling func(0.009000) expected=0.020379
-trc=smpte2084 calling func(0.015000) expected=0.026255
-trc=smpte2084 calling func(0.100000) expected=0.062337
-trc=smpte2084 calling func(1.000000) expected=0.149946
-trc=smpte2084 calling func(52.370000) expected=0.444693
-trc=smpte2084 calling func(125.098765) expected=0.530719
-trc=smpte2084 calling func(1999.111230) expected=0.827376
-trc=smpte2084 calling func(6945.443000) expected=0.961586
-trc=smpte2084 calling func(15123.456700) expected=1.042921
-trc=smpte2084 calling func(19845.889230) expected=1.070677
-trc=smpte2084 calling func(98678.423100) expected=1.225908
-trc=smpte2084 calling func(99999.899998) expected=1.227127
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-trc=smpte428 calling func(-0.018054) expected=0.000000
-trc=smpte428 calling func(-0.010000) expected=0.000000
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-trc=smpte428 calling func(0.003162) expected=0.105659
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-trc=smpte428 calling func(0.015000) expected=0.192284
-trc=smpte428 calling func(0.100000) expected=0.398869
-trc=smpte428 calling func(1.000000) expected=0.967043
-trc=smpte428 calling func(52.370000) expected=4.432321
-trc=smpte428 calling func(125.098765) expected=6.195572
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-trc=smpte428 calling func(15123.456700) expected=39.174525
-trc=smpte428 calling func(19845.889230) expected=43.490646
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+trc=bt709 calling func(99999.899998) expected=195.386306 roundtrip=99999.899998
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+trc=bt470m calling func(19845.889230) expected=89.843491 roundtrip=19845.889230
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+trc=bt470bg calling func(15123.456700) expected=31.098005 roundtrip=15123.456700
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+trc=bt470bg calling func(98678.423100) expected=60.764620 roundtrip=98678.423100
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+trc=smpte170m calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=smpte170m calling func(-0.010000) expected=0.000000 roundtrip=0.000000
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+trc=smpte170m calling func(0.005000) expected=0.022500 roundtrip=0.005000
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+trc=smpte170m calling func(0.100000) expected=0.290748 roundtrip=0.100000
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+trc=linear calling func(19845.889230) expected=19845.889230 roundtrip=19845.889230
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+trc=log100 calling func(99999.899998) expected=3.500000 roundtrip=99999.899998
+trc=log316 calling func(-0.100000) expected=0.000000 roundtrip=0.003162
+trc=log316 calling func(-0.018054) expected=0.000000 roundtrip=0.003162
+trc=log316 calling func(-0.010000) expected=0.000000 roundtrip=0.003162
+trc=log316 calling func(-0.004490) expected=0.000000 roundtrip=0.003162
+trc=log316 calling func(0.000000) expected=0.000000 roundtrip=0.003162
+trc=log316 calling func(0.003162) expected=0.000000 roundtrip=0.003162
+trc=log316 calling func(0.005000) expected=0.079588 roundtrip=0.005000
+trc=log316 calling func(0.009000) expected=0.181697 roundtrip=0.009000
+trc=log316 calling func(0.015000) expected=0.270437 roundtrip=0.015000
+trc=log316 calling func(0.100000) expected=0.600000 roundtrip=0.100000
+trc=log316 calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=log316 calling func(52.370000) expected=1.687633 roundtrip=52.370000
+trc=log316 calling func(125.098765) expected=1.838901 roundtrip=125.098765
+trc=log316 calling func(1999.111230) expected=2.320335 roundtrip=1999.111230
+trc=log316 calling func(6945.443000) expected=2.536680 roundtrip=6945.443000
+trc=log316 calling func(15123.456700) expected=2.671860 roundtrip=15123.456700
+trc=log316 calling func(19845.889230) expected=2.719068 roundtrip=19845.889230
+trc=log316 calling func(98678.423100) expected=2.997689 roundtrip=98678.423100
+trc=log316 calling func(99999.899998) expected=3.000000 roundtrip=99999.899998
+trc=iec61966-2-4 calling func(-0.100000) expected=-0.290748 roundtrip=-0.100000
+trc=iec61966-2-4 calling func(-0.018054) expected=-0.081243 roundtrip=-0.018054
+trc=iec61966-2-4 calling func(-0.010000) expected=-0.045000 roundtrip=-0.010000
+trc=iec61966-2-4 calling func(-0.004490) expected=-0.020205 roundtrip=-0.004490
+trc=iec61966-2-4 calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=iec61966-2-4 calling func(0.003162) expected=0.014230 roundtrip=0.003162
+trc=iec61966-2-4 calling func(0.005000) expected=0.022500 roundtrip=0.005000
+trc=iec61966-2-4 calling func(0.009000) expected=0.040500 roundtrip=0.009000
+trc=iec61966-2-4 calling func(0.015000) expected=0.067500 roundtrip=0.015000
+trc=iec61966-2-4 calling func(0.100000) expected=0.290748 roundtrip=0.100000
+trc=iec61966-2-4 calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=iec61966-2-4 calling func(52.370000) expected=6.427531 roundtrip=52.370000
+trc=iec61966-2-4 calling func(125.098765) expected=9.558517 roundtrip=125.098765
+trc=iec61966-2-4 calling func(1999.111230) expected=33.512490 roundtrip=1999.111230
+trc=iec61966-2-4 calling func(6945.443000) expected=58.768794 roundtrip=6945.443000
+trc=iec61966-2-4 calling func(15123.456700) expected=83.452916 roundtrip=15123.456700
+trc=iec61966-2-4 calling func(19845.889230) expected=94.321297 roundtrip=19845.889230
+trc=iec61966-2-4 calling func(98678.423100) expected=194.219568 roundtrip=98678.423100
+trc=iec61966-2-4 calling func(99999.899998) expected=195.386306 roundtrip=99999.899998
+trc=bt1361e calling func(-0.100000) expected=-0.206787 roundtrip=-0.100000
+trc=bt1361e calling func(-0.018054) expected=-0.109049 roundtrip=-0.018054
+trc=bt1361e calling func(-0.010000) expected=-0.089387 roundtrip=-0.010000
+trc=bt1361e calling func(-0.004490) expected=-0.020205 roundtrip=-0.004490
+trc=bt1361e calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=bt1361e calling func(0.003162) expected=0.014230 roundtrip=0.003162
+trc=bt1361e calling func(0.005000) expected=0.022500 roundtrip=0.005000
+trc=bt1361e calling func(0.009000) expected=0.040500 roundtrip=0.009000
+trc=bt1361e calling func(0.015000) expected=0.067500 roundtrip=0.015000
+trc=bt1361e calling func(0.100000) expected=0.290748 roundtrip=0.100000
+trc=bt1361e calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=bt1361e calling func(52.370000) expected=6.427531 roundtrip=52.370000
+trc=bt1361e calling func(125.098765) expected=9.558517 roundtrip=125.098765
+trc=bt1361e calling func(1999.111230) expected=33.512490 roundtrip=1999.111230
+trc=bt1361e calling func(6945.443000) expected=58.768794 roundtrip=6945.443000
+trc=bt1361e calling func(15123.456700) expected=83.452916 roundtrip=15123.456700
+trc=bt1361e calling func(19845.889230) expected=94.321297 roundtrip=19845.889230
+trc=bt1361e calling func(98678.423100) expected=194.219568 roundtrip=98678.423100
+trc=bt1361e calling func(99999.899998) expected=195.386306 roundtrip=99999.899998
+trc=iec61966-2-1 calling func(-0.100000) expected=0.000000 roundtrip=0.000000
+trc=iec61966-2-1 calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=iec61966-2-1 calling func(-0.010000) expected=0.000000 roundtrip=0.000000
+trc=iec61966-2-1 calling func(-0.004490) expected=0.000000 roundtrip=0.000000
+trc=iec61966-2-1 calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=iec61966-2-1 calling func(0.003162) expected=0.040849 roundtrip=0.003162
+trc=iec61966-2-1 calling func(0.005000) expected=0.061009 roundtrip=0.005000
+trc=iec61966-2-1 calling func(0.009000) expected=0.093202 roundtrip=0.009000
+trc=iec61966-2-1 calling func(0.015000) expected=0.128354 roundtrip=0.015000
+trc=iec61966-2-1 calling func(0.100000) expected=0.349190 roundtrip=0.100000
+trc=iec61966-2-1 calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=iec61966-2-1 calling func(52.370000) expected=5.434552 roundtrip=52.370000
+trc=iec61966-2-1 calling func(125.098765) expected=7.835561 roundtrip=125.098765
+trc=iec61966-2-1 calling func(1999.111230) expected=24.983090 roundtrip=1999.111230
+trc=iec61966-2-1 calling func(6945.443000) expected=42.013863 roundtrip=6945.443000
+trc=iec61966-2-1 calling func(15123.456700) expected=58.125003 roundtrip=15123.456700
+trc=iec61966-2-1 calling func(19845.889230) expected=65.100117 roundtrip=19845.889230
+trc=iec61966-2-1 calling func(98678.423100) expected=127.054607 roundtrip=98678.423100
+trc=iec61966-2-1 calling func(99999.899998) expected=127.761115 roundtrip=99999.899998
+trc=bt2020-10 calling func(-0.100000) expected=0.000000 roundtrip=0.000000
+trc=bt2020-10 calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=bt2020-10 calling func(-0.010000) expected=0.000000 roundtrip=0.000000
+trc=bt2020-10 calling func(-0.004490) expected=0.000000 roundtrip=0.000000
+trc=bt2020-10 calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=bt2020-10 calling func(0.003162) expected=0.014230 roundtrip=0.003162
+trc=bt2020-10 calling func(0.005000) expected=0.022500 roundtrip=0.005000
+trc=bt2020-10 calling func(0.009000) expected=0.040500 roundtrip=0.009000
+trc=bt2020-10 calling func(0.015000) expected=0.067500 roundtrip=0.015000
+trc=bt2020-10 calling func(0.100000) expected=0.290748 roundtrip=0.100000
+trc=bt2020-10 calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=bt2020-10 calling func(52.370000) expected=6.427531 roundtrip=52.370000
+trc=bt2020-10 calling func(125.098765) expected=9.558517 roundtrip=125.098765
+trc=bt2020-10 calling func(1999.111230) expected=33.512490 roundtrip=1999.111230
+trc=bt2020-10 calling func(6945.443000) expected=58.768794 roundtrip=6945.443000
+trc=bt2020-10 calling func(15123.456700) expected=83.452916 roundtrip=15123.456700
+trc=bt2020-10 calling func(19845.889230) expected=94.321297 roundtrip=19845.889230
+trc=bt2020-10 calling func(98678.423100) expected=194.219568 roundtrip=98678.423100
+trc=bt2020-10 calling func(99999.899998) expected=195.386306 roundtrip=99999.899998
+trc=bt2020-12 calling func(-0.100000) expected=0.000000 roundtrip=0.000000
+trc=bt2020-12 calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=bt2020-12 calling func(-0.010000) expected=0.000000 roundtrip=0.000000
+trc=bt2020-12 calling func(-0.004490) expected=0.000000 roundtrip=0.000000
+trc=bt2020-12 calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=bt2020-12 calling func(0.003162) expected=0.014230 roundtrip=0.003162
+trc=bt2020-12 calling func(0.005000) expected=0.022500 roundtrip=0.005000
+trc=bt2020-12 calling func(0.009000) expected=0.040500 roundtrip=0.009000
+trc=bt2020-12 calling func(0.015000) expected=0.067500 roundtrip=0.015000
+trc=bt2020-12 calling func(0.100000) expected=0.290748 roundtrip=0.100000
+trc=bt2020-12 calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=bt2020-12 calling func(52.370000) expected=6.427531 roundtrip=52.370000
+trc=bt2020-12 calling func(125.098765) expected=9.558517 roundtrip=125.098765
+trc=bt2020-12 calling func(1999.111230) expected=33.512490 roundtrip=1999.111230
+trc=bt2020-12 calling func(6945.443000) expected=58.768794 roundtrip=6945.443000
+trc=bt2020-12 calling func(15123.456700) expected=83.452916 roundtrip=15123.456700
+trc=bt2020-12 calling func(19845.889230) expected=94.321297 roundtrip=19845.889230
+trc=bt2020-12 calling func(98678.423100) expected=194.219568 roundtrip=98678.423100
+trc=bt2020-12 calling func(99999.899998) expected=195.386306 roundtrip=99999.899998
+trc=smpte2084 calling func(-0.100000) expected=0.000000 roundtrip=0.000000
+trc=smpte2084 calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=smpte2084 calling func(-0.010000) expected=0.000000 roundtrip=0.000000
+trc=smpte2084 calling func(-0.004490) expected=0.000000 roundtrip=0.000000
+trc=smpte2084 calling func(0.000000) expected=0.000001 roundtrip=0.000000
+trc=smpte2084 calling func(0.003162) expected=0.011839 roundtrip=0.003162
+trc=smpte2084 calling func(0.005000) expected=0.015076 roundtrip=0.005000
+trc=smpte2084 calling func(0.009000) expected=0.020379 roundtrip=0.009000
+trc=smpte2084 calling func(0.015000) expected=0.026255 roundtrip=0.015000
+trc=smpte2084 calling func(0.100000) expected=0.062337 roundtrip=0.100000
+trc=smpte2084 calling func(1.000000) expected=0.149946 roundtrip=1.000000
+trc=smpte2084 calling func(52.370000) expected=0.444693 roundtrip=52.370000
+trc=smpte2084 calling func(125.098765) expected=0.530719 roundtrip=125.098765
+trc=smpte2084 calling func(1999.111230) expected=0.827376 roundtrip=1999.111230
+trc=smpte2084 calling func(6945.443000) expected=0.961586 roundtrip=6945.443000
+trc=smpte2084 calling func(15123.456700) expected=1.042921 roundtrip=15123.456700
+trc=smpte2084 calling func(19845.889230) expected=1.070677 roundtrip=19845.889230
+trc=smpte2084 calling func(98678.423100) expected=1.225908 roundtrip=98678.423100
+trc=smpte2084 calling func(99999.899998) expected=1.227127 roundtrip=99999.899998
+trc=smpte428 calling func(-0.100000) expected=0.000000 roundtrip=0.000000
+trc=smpte428 calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=smpte428 calling func(-0.010000) expected=0.000000 roundtrip=0.000000
+trc=smpte428 calling func(-0.004490) expected=0.000000 roundtrip=0.000000
+trc=smpte428 calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=smpte428 calling func(0.003162) expected=0.105659 roundtrip=0.003162
+trc=smpte428 calling func(0.005000) expected=0.126018 roundtrip=0.005000
+trc=smpte428 calling func(0.009000) expected=0.157985 roundtrip=0.009000
+trc=smpte428 calling func(0.015000) expected=0.192284 roundtrip=0.015000
+trc=smpte428 calling func(0.100000) expected=0.398869 roundtrip=0.100000
+trc=smpte428 calling func(1.000000) expected=0.967043 roundtrip=1.000000
+trc=smpte428 calling func(52.370000) expected=4.432321 roundtrip=52.370000
+trc=smpte428 calling func(125.098765) expected=6.195572 roundtrip=125.098765
+trc=smpte428 calling func(1999.111230) expected=17.988639 roundtrip=1999.111230
+trc=smpte428 calling func(6945.443000) expected=29.041734 roundtrip=6945.443000
+trc=smpte428 calling func(15123.456700) expected=39.174525 roundtrip=15123.456700
+trc=smpte428 calling func(19845.889230) expected=43.490646 roundtrip=19845.889230
+trc=smpte428 calling func(98678.423100) expected=80.593559 roundtrip=98678.423100
+trc=smpte428 calling func(99999.899998) expected=81.006971 roundtrip=99999.899998
+trc=arib-std-b67 calling func(-0.100000) expected=0.000000 roundtrip=0.000000
+trc=arib-std-b67 calling func(-0.018054) expected=0.000000 roundtrip=0.000000
+trc=arib-std-b67 calling func(-0.010000) expected=0.000000 roundtrip=0.000000
+trc=arib-std-b67 calling func(-0.004490) expected=0.000000 roundtrip=0.000000
+trc=arib-std-b67 calling func(0.000000) expected=0.000000 roundtrip=0.000000
+trc=arib-std-b67 calling func(0.003162) expected=0.097400 roundtrip=0.003162
+trc=arib-std-b67 calling func(0.005000) expected=0.122474 roundtrip=0.005000
+trc=arib-std-b67 calling func(0.009000) expected=0.164317 roundtrip=0.009000
+trc=arib-std-b67 calling func(0.015000) expected=0.212132 roundtrip=0.015000
+trc=arib-std-b67 calling func(0.100000) expected=0.544089 roundtrip=0.100000
+trc=arib-std-b67 calling func(1.000000) expected=1.000000 roundtrip=1.000000
+trc=arib-std-b67 calling func(52.370000) expected=1.712092 roundtrip=52.370000
+trc=arib-std-b67 calling func(125.098765) expected=1.867862 roundtrip=125.098765
+trc=arib-std-b67 calling func(1999.111230) expected=2.363502 roundtrip=1999.111230
+trc=arib-std-b67 calling func(6945.443000) expected=2.586219 roundtrip=6945.443000
+trc=arib-std-b67 calling func(15123.456700) expected=2.725380 roundtrip=15123.456700
+trc=arib-std-b67 calling func(19845.889230) expected=2.773978 roundtrip=19845.889230
+trc=arib-std-b67 calling func(98678.423100) expected=3.060803 roundtrip=98678.423100
+trc=arib-std-b67 calling func(99999.899998) expected=3.063182 roundtrip=99999.899998
--
2.47.0
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