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tinycolormap.h
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tinycolormap.h
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/*
Copyright (c) 2024 Alexander Maximilian Oetken
Port of the C++ version to the C language.
Detailed Copyright information below:
MIT License
Copyright (c) 2018-2020 Yuki Koyama
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
-------------------------------------------------------------------------------
The lookup table for Turbo is derived by Shot511 in his PR,
https://github.com/yuki-koyama/tinycolormap/pull/27 , from
https://gist.github.com/mikhailov-work/6a308c20e494d9e0ccc29036b28faa7a , which
is released by Anton Mikhailov, copyrighted by Google LLC, and licensed under
the Apache 2.0 license. To the best of our knowledge, the Apache 2.0 license is
compatible with the MIT license, and thus we release the merged entire code
under the MIT license. The license notice for Anton's code is posted here:
Copyright 2019 Google LLC.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
#ifndef TINYCOLORMAP_H
#define TINYCOLORMAP_H
#include <math.h>
#include <stdint.h>
typedef enum {
TCM_Parula,
TCM_Heat,
TCM_Jet,
TCM_Turbo,
TCM_Hot,
TCM_Gray,
TCM_Magma,
TCM_Inferno,
TCM_Plasma,
TCM_Viridis,
TCM_Cividis,
TCM_Github,
TCM_Cubehelix,
TCM_HSV
} tcm_ColormapType;
typedef struct {
double r, g, b;
} tcm_Color;
inline tcm_Color tcm_color(double x, tcm_ColormapType type);
inline uint32_t tcm_to_argb(tcm_Color color);
inline tcm_Color tcm_quantized_color(double x, unsigned int num_levels, tcm_ColormapType type);
inline tcm_Color tcm_parula(double x);
inline tcm_Color tcm_heat(double x);
inline tcm_Color tcm_jet(double x);
inline tcm_Color tcm_turbo(double x);
inline tcm_Color tcm_hot(double x);
inline tcm_Color tcm_gray(double x) ;
inline tcm_Color tcm_magma(double x);
inline tcm_Color tcm_inferno(double x);
inline tcm_Color tcm_plasma(double x);
inline tcm_Color tcm_viridis(double x);
inline tcm_Color tcm_cividis(double x);
inline tcm_Color tcm_github(double x);
inline tcm_Color tcm_cubehelix(double x);
inline tcm_Color tcm_hsv(double x);
#endif
//////////////////////////////////
#ifdef TINYCOLORMAP_IMPLEMENTATION
inline double tcm_clamp01(double x)
{
return (x < 0.0) ? 0.0 : (x > 1.0) ? 1.0 : x;
}
tcm_Color tcm_lerp(double x, size_t N, const tcm_Color* data)
{
const double a = tcm_clamp01(x) * (N - 1);
const double i = floor(a);
const double t = a - i;
const tcm_Color c0 = data[(size_t)i];
const tcm_Color c1 = data[(size_t)ceil(a)];
return (tcm_Color){
(1.0 - t) * c0.r + t * c1.r,
(1.0 - t) * c0.g + t * c1.g,
(1.0 - t) * c0.b + t * c1.b,
};
}
inline double tcm_quantize_argument(double x, unsigned int num_levels)
{
// Clamp num_classes to range [1, 255].
if (num_levels < 1) {
num_levels = 1;
}
if (num_levels > 255) {
num_levels = 0;
}
const double interval_length = 255.0 / num_levels;
// Calculate index of the interval to which the given x belongs to.
// Substracting eps prevents getting out of bounds index.
const double eps = 0.0005;
const unsigned int index = (unsigned int)((x * 255.0 - eps) / interval_length);
// Calculate upper and lower bounds of the given interval.
const unsigned int upper_boundary = (unsigned int)(index * interval_length + interval_length);
const unsigned int lower_boundary = (unsigned int)(upper_boundary - interval_length);
// Get middle "coordinate" of the given interval and move it back to [0.0, 1.0] interval.
const double xx = (double)(upper_boundary + lower_boundary) * 0.5 / 255.0;
return xx;
}
inline tcm_Color tcm_color(double x, tcm_ColormapType type)
{
switch (type)
{
case TCM_Parula:
return tcm_parula(x);
case TCM_Heat:
return tcm_heat(x);
case TCM_Jet:
return tcm_jet(x);
case TCM_Turbo:
return tcm_turbo(x);
case TCM_Hot:
return tcm_hot(x);
case TCM_Gray:
return tcm_gray(x);
case TCM_Magma:
return tcm_magma(x);
case TCM_Inferno:
return tcm_inferno(x);
case TCM_Plasma:
return tcm_plasma(x);
case TCM_Viridis:
return tcm_viridis(x);
case TCM_Cividis:
return tcm_cividis(x);
case TCM_Github:
return tcm_github(x);
case TCM_Cubehelix:
return tcm_cubehelix(x);
case TCM_HSV:
return tcm_hsv(x);
default:
break;
}
return tcm_viridis(x);
}
inline uint32_t tcm_to_argb(tcm_Color color) {
uint8_t r = (uint8_t)(color.r * 255.0f);
uint8_t g = (uint8_t)(color.g * 255.0f);
uint8_t b = (uint8_t)(color.b * 255.0f);
return (r << 16) | (g << 8) | (b);
}
inline tcm_Color tcm_quantized_color(double x, unsigned int num_levels, tcm_ColormapType type)
{
return tcm_color(tcm_quantize_argument(x, num_levels), type);
}
inline tcm_Color tcm_parula(double x)
{
const tcm_Color data[] =
{
{ 0.2081, 0.1663, 0.5292 },
{ 0.2091, 0.1721, 0.5411 },
{ 0.2101, 0.1779, 0.553 },
{ 0.2109, 0.1837, 0.565 },
{ 0.2116, 0.1895, 0.5771 },
{ 0.2121, 0.1954, 0.5892 },
{ 0.2124, 0.2013, 0.6013 },
{ 0.2125, 0.2072, 0.6135 },
{ 0.2123, 0.2132, 0.6258 },
{ 0.2118, 0.2192, 0.6381 },
{ 0.2111, 0.2253, 0.6505 },
{ 0.2099, 0.2315, 0.6629 },
{ 0.2084, 0.2377, 0.6753 },
{ 0.2063, 0.244, 0.6878 },
{ 0.2038, 0.2503, 0.7003 },
{ 0.2006, 0.2568, 0.7129 },
{ 0.1968, 0.2632, 0.7255 },
{ 0.1921, 0.2698, 0.7381 },
{ 0.1867, 0.2764, 0.7507 },
{ 0.1802, 0.2832, 0.7634 },
{ 0.1728, 0.2902, 0.7762 },
{ 0.1641, 0.2975, 0.789 },
{ 0.1541, 0.3052, 0.8017 },
{ 0.1427, 0.3132, 0.8145 },
{ 0.1295, 0.3217, 0.8269 },
{ 0.1147, 0.3306, 0.8387 },
{ 0.0986, 0.3397, 0.8495 },
{ 0.0816, 0.3486, 0.8588 },
{ 0.0646, 0.3572, 0.8664 },
{ 0.0482, 0.3651, 0.8722 },
{ 0.0329, 0.3724, 0.8765 },
{ 0.0213, 0.3792, 0.8796 },
{ 0.0136, 0.3853, 0.8815 },
{ 0.0086, 0.3911, 0.8827 },
{ 0.006, 0.3965, 0.8833 },
{ 0.0051, 0.4017, 0.8834 },
{ 0.0054, 0.4066, 0.8831 },
{ 0.0067, 0.4113, 0.8825 },
{ 0.0089, 0.4159, 0.8816 },
{ 0.0116, 0.4203, 0.8805 },
{ 0.0148, 0.4246, 0.8793 },
{ 0.0184, 0.4288, 0.8779 },
{ 0.0223, 0.4329, 0.8763 },
{ 0.0264, 0.437, 0.8747 },
{ 0.0306, 0.441, 0.8729 },
{ 0.0349, 0.4449, 0.8711 },
{ 0.0394, 0.4488, 0.8692 },
{ 0.0437, 0.4526, 0.8672 },
{ 0.0477, 0.4564, 0.8652 },
{ 0.0514, 0.4602, 0.8632 },
{ 0.0549, 0.464, 0.8611 },
{ 0.0582, 0.4677, 0.8589 },
{ 0.0612, 0.4714, 0.8568 },
{ 0.064, 0.4751, 0.8546 },
{ 0.0666, 0.4788, 0.8525 },
{ 0.0689, 0.4825, 0.8503 },
{ 0.071, 0.4862, 0.8481 },
{ 0.0729, 0.4899, 0.846 },
{ 0.0746, 0.4937, 0.8439 },
{ 0.0761, 0.4974, 0.8418 },
{ 0.0773, 0.5012, 0.8398 },
{ 0.0782, 0.5051, 0.8378 },
{ 0.0789, 0.5089, 0.8359 },
{ 0.0794, 0.5129, 0.8341 },
{ 0.0795, 0.5169, 0.8324 },
{ 0.0793, 0.521, 0.8308 },
{ 0.0788, 0.5251, 0.8293 },
{ 0.0778, 0.5295, 0.828 },
{ 0.0764, 0.5339, 0.827 },
{ 0.0746, 0.5384, 0.8261 },
{ 0.0724, 0.5431, 0.8253 },
{ 0.0698, 0.5479, 0.8247 },
{ 0.0668, 0.5527, 0.8243 },
{ 0.0636, 0.5577, 0.8239 },
{ 0.06, 0.5627, 0.8237 },
{ 0.0562, 0.5677, 0.8234 },
{ 0.0523, 0.5727, 0.8231 },
{ 0.0484, 0.5777, 0.8228 },
{ 0.0445, 0.5826, 0.8223 },
{ 0.0408, 0.5874, 0.8217 },
{ 0.0372, 0.5922, 0.8209 },
{ 0.0342, 0.5968, 0.8198 },
{ 0.0317, 0.6012, 0.8186 },
{ 0.0296, 0.6055, 0.8171 },
{ 0.0279, 0.6097, 0.8154 },
{ 0.0265, 0.6137, 0.8135 },
{ 0.0255, 0.6176, 0.8114 },
{ 0.0248, 0.6214, 0.8091 },
{ 0.0243, 0.625, 0.8066 },
{ 0.0239, 0.6285, 0.8039 },
{ 0.0237, 0.6319, 0.801 },
{ 0.0235, 0.6352, 0.798 },
{ 0.0233, 0.6384, 0.7948 },
{ 0.0231, 0.6415, 0.7916 },
{ 0.023, 0.6445, 0.7881 },
{ 0.0229, 0.6474, 0.7846 },
{ 0.0227, 0.6503, 0.781, },
{ 0.0227, 0.6531, 0.7773 },
{ 0.0232, 0.6558, 0.7735 },
{ 0.0238, 0.6585, 0.7696 },
{ 0.0246, 0.6611, 0.7656 },
{ 0.0263, 0.6637, 0.7615 },
{ 0.0282, 0.6663, 0.7574 },
{ 0.0306, 0.6688, 0.7532 },
{ 0.0338, 0.6712, 0.749 },
{ 0.0373, 0.6737, 0.7446 },
{ 0.0418, 0.6761, 0.7402 },
{ 0.0467, 0.6784, 0.7358 },
{ 0.0516, 0.6808, 0.7313 },
{ 0.0574, 0.6831, 0.7267 },
{ 0.0629, 0.6854, 0.7221 },
{ 0.0692, 0.6877, 0.7173 },
{ 0.0755, 0.6899, 0.7126 },
{ 0.082, 0.6921, 0.7078 },
{ 0.0889, 0.6943, 0.7029 },
{ 0.0956, 0.6965, 0.6979 },
{ 0.1031, 0.6986, 0.6929 },
{ 0.1104, 0.7007, 0.6878 },
{ 0.118, 0.7028, 0.6827 },
{ 0.1258, 0.7049, 0.6775 },
{ 0.1335, 0.7069, 0.6723 },
{ 0.1418, 0.7089, 0.6669 },
{ 0.1499, 0.7109, 0.6616 },
{ 0.1585, 0.7129, 0.6561 },
{ 0.1671, 0.7148, 0.6507 },
{ 0.1758, 0.7168, 0.6451 },
{ 0.1849, 0.7186, 0.6395 },
{ 0.1938, 0.7205, 0.6338 },
{ 0.2033, 0.7223, 0.6281 },
{ 0.2128, 0.7241, 0.6223 },
{ 0.2224, 0.7259, 0.6165 },
{ 0.2324, 0.7275, 0.6107 },
{ 0.2423, 0.7292, 0.6048 },
{ 0.2527, 0.7308, 0.5988 },
{ 0.2631, 0.7324, 0.5929 },
{ 0.2735, 0.7339, 0.5869 },
{ 0.2845, 0.7354, 0.5809 },
{ 0.2953, 0.7368, 0.5749 },
{ 0.3064, 0.7381, 0.5689 },
{ 0.3177, 0.7394, 0.563 },
{ 0.3289, 0.7406, 0.557 },
{ 0.3405, 0.7417, 0.5512 },
{ 0.352, 0.7428, 0.5453 },
{ 0.3635, 0.7438, 0.5396 },
{ 0.3753, 0.7446, 0.5339 },
{ 0.3869, 0.7454, 0.5283 },
{ 0.3986, 0.7461, 0.5229 },
{ 0.4103, 0.7467, 0.5175 },
{ 0.4218, 0.7473, 0.5123 },
{ 0.4334, 0.7477, 0.5072 },
{ 0.4447, 0.7482, 0.5021 },
{ 0.4561, 0.7485, 0.4972 },
{ 0.4672, 0.7487, 0.4924 },
{ 0.4783, 0.7489, 0.4877 },
{ 0.4892, 0.7491, 0.4831 },
{ 0.5, 0.7491, 0.4786 },
{ 0.5106, 0.7492, 0.4741 },
{ 0.5212, 0.7492, 0.4698 },
{ 0.5315, 0.7491, 0.4655 },
{ 0.5418, 0.749, 0.4613 },
{ 0.5519, 0.7489, 0.4571 },
{ 0.5619, 0.7487, 0.4531 },
{ 0.5718, 0.7485, 0.449 },
{ 0.5816, 0.7482, 0.4451 },
{ 0.5913, 0.7479, 0.4412 },
{ 0.6009, 0.7476, 0.4374 },
{ 0.6103, 0.7473, 0.4335 },
{ 0.6197, 0.7469, 0.4298 },
{ 0.629, 0.7465, 0.4261 },
{ 0.6382, 0.746, 0.4224 },
{ 0.6473, 0.7456, 0.4188 },
{ 0.6564, 0.7451, 0.4152 },
{ 0.6653, 0.7446, 0.4116 },
{ 0.6742, 0.7441, 0.4081 },
{ 0.683, 0.7435, 0.4046 },
{ 0.6918, 0.743, 0.4011 },
{ 0.7004, 0.7424, 0.3976 },
{ 0.7091, 0.7418, 0.3942 },
{ 0.7176, 0.7412, 0.3908 },
{ 0.7261, 0.7405, 0.3874 },
{ 0.7346, 0.7399, 0.384 },
{ 0.743, 0.7392, 0.3806 },
{ 0.7513, 0.7385, 0.3773 },
{ 0.7596, 0.7378, 0.3739 },
{ 0.7679, 0.7372, 0.3706 },
{ 0.7761, 0.7364, 0.3673 },
{ 0.7843, 0.7357, 0.3639 },
{ 0.7924, 0.735, 0.3606 },
{ 0.8005, 0.7343, 0.3573 },
{ 0.8085, 0.7336, 0.3539 },
{ 0.8166, 0.7329, 0.3506 },
{ 0.8246, 0.7322, 0.3472 },
{ 0.8325, 0.7315, 0.3438 },
{ 0.8405, 0.7308, 0.3404 },
{ 0.8484, 0.7301, 0.337 },
{ 0.8563, 0.7294, 0.3336 },
{ 0.8642, 0.7288, 0.33 },
{ 0.872, 0.7282, 0.3265 },
{ 0.8798, 0.7276, 0.3229 },
{ 0.8877, 0.7271, 0.3193 },
{ 0.8954, 0.7266, 0.3156 },
{ 0.9032, 0.7262, 0.3117 },
{ 0.911, 0.7259, 0.3078 },
{ 0.9187, 0.7256, 0.3038 },
{ 0.9264, 0.7256, 0.2996 },
{ 0.9341, 0.7256, 0.2953 },
{ 0.9417, 0.7259, 0.2907 },
{ 0.9493, 0.7264, 0.2859 },
{ 0.9567, 0.7273, 0.2808 },
{ 0.9639, 0.7285, 0.2754 },
{ 0.9708, 0.7303, 0.2696 },
{ 0.9773, 0.7326, 0.2634 },
{ 0.9831, 0.7355, 0.257 },
{ 0.9882, 0.739, 0.2504 },
{ 0.9922, 0.7431, 0.2437 },
{ 0.9952, 0.7476, 0.2373 },
{ 0.9973, 0.7524, 0.231 },
{ 0.9986, 0.7573, 0.2251 },
{ 0.9991, 0.7624, 0.2195 },
{ 0.999, 0.7675, 0.2141 },
{ 0.9985, 0.7726, 0.209 },
{ 0.9976, 0.7778, 0.2042 },
{ 0.9964, 0.7829, 0.1995 },
{ 0.995, 0.788, 0.1949 },
{ 0.9933, 0.7931, 0.1905 },
{ 0.9914, 0.7981, 0.1863 },
{ 0.9894, 0.8032, 0.1821 },
{ 0.9873, 0.8083, 0.178 },
{ 0.9851, 0.8133, 0.174 },
{ 0.9828, 0.8184, 0.17 },
{ 0.9805, 0.8235, 0.1661 },
{ 0.9782, 0.8286, 0.1622 },
{ 0.9759, 0.8337, 0.1583 },
{ 0.9736, 0.8389, 0.1544 },
{ 0.9713, 0.8441, 0.1505 },
{ 0.9692, 0.8494, 0.1465 },
{ 0.9672, 0.8548, 0.1425 },
{ 0.9654, 0.8603, 0.1385 },
{ 0.9638, 0.8659, 0.1343 },
{ 0.9623, 0.8716, 0.1301 },
{ 0.9611, 0.8774, 0.1258 },
{ 0.96, 0.8834, 0.1215 },
{ 0.9593, 0.8895, 0.1171 },
{ 0.9588, 0.8958, 0.1126 },
{ 0.9586, 0.9022, 0.1082 },
{ 0.9587, 0.9088, 0.1036 },
{ 0.9591, 0.9155, 0.099 },
{ 0.9599, 0.9225, 0.0944 },
{ 0.961, 0.9296, 0.0897 },
{ 0.9624, 0.9368, 0.085 },
{ 0.9641, 0.9443, 0.0802 },
{ 0.9662, 0.9518, 0.0753 },
{ 0.9685, 0.9595, 0.0703 },
{ 0.971, 0.9673, 0.0651 },
{ 0.9736, 0.9752, 0.0597 },
{ 0.9763, 0.9831, 0.0538 }
};
return tcm_lerp(x, sizeof(data)/sizeof(*data), data);
}
inline tcm_Color tcm_heat(double x)
{
const tcm_Color data[] =
{
{ 0.0, 0.0, 1.0 },
{ 0.0, 1.0, 1.0 },
{ 0.0, 1.0, 0.0 },
{ 1.0, 1.0, 0.0 },
{ 1.0, 0.0, 0.0 }
};
return tcm_lerp(x, sizeof(data)/sizeof(*data), data);
}
inline tcm_Color tcm_jet(double x)
{
const tcm_Color data[] =
{
{ 0.0, 0.0, 0.5 },
{ 0.0, 0.0, 1.0 },
{ 0.0, 0.5, 1.0 },
{ 0.0, 1.0, 1.0 },
{ 0.5, 1.0, 0.5 },
{ 1.0, 1.0, 0.0 },
{ 1.0, 0.5, 0.0 },
{ 1.0, 0.0, 0.0 },
{ 0.5, 0.0, 0.0 }
};
return tcm_lerp(x, sizeof(data)/sizeof(*data), data);
}
inline tcm_Color tcm_turbo(double x)
{
const tcm_Color data[] =
{
{ 0.18995, 0.07176, 0.23217 },
{ 0.19483, 0.08339, 0.26149 },
{ 0.19956, 0.09498, 0.29024 },
{ 0.20415, 0.10652, 0.31844 },
{ 0.20860, 0.11802, 0.34607 },
{ 0.21291, 0.12947, 0.37314 },
{ 0.21708, 0.14087, 0.39964 },
{ 0.22111, 0.15223, 0.42558 },
{ 0.22500, 0.16354, 0.45096 },
{ 0.22875, 0.17481, 0.47578 },
{ 0.23236, 0.18603, 0.50004 },
{ 0.23582, 0.19720, 0.52373 },
{ 0.23915, 0.20833, 0.54686 },
{ 0.24234, 0.21941, 0.56942 },
{ 0.24539, 0.23044, 0.59142 },
{ 0.24830, 0.24143, 0.61286 },
{ 0.25107, 0.25237, 0.63374 },
{ 0.25369, 0.26327, 0.65406 },
{ 0.25618, 0.27412, 0.67381 },
{ 0.25853, 0.28492, 0.69300 },
{ 0.26074, 0.29568, 0.71162 },
{ 0.26280, 0.30639, 0.72968 },
{ 0.26473, 0.31706, 0.74718 },
{ 0.26652, 0.32768, 0.76412 },
{ 0.26816, 0.33825, 0.78050 },
{ 0.26967, 0.34878, 0.79631 },
{ 0.27103, 0.35926, 0.81156 },
{ 0.27226, 0.36970, 0.82624 },
{ 0.27334, 0.38008, 0.84037 },
{ 0.27429, 0.39043, 0.85393 },
{ 0.27509, 0.40072, 0.86692 },
{ 0.27576, 0.41097, 0.87936 },
{ 0.27628, 0.42118, 0.89123 },
{ 0.27667, 0.43134, 0.90254 },
{ 0.27691, 0.44145, 0.91328 },
{ 0.27701, 0.45152, 0.92347 },
{ 0.27698, 0.46153, 0.93309 },
{ 0.27680, 0.47151, 0.94214 },
{ 0.27648, 0.48144, 0.95064 },
{ 0.27603, 0.49132, 0.95857 },
{ 0.27543, 0.50115, 0.96594 },
{ 0.27469, 0.51094, 0.97275 },
{ 0.27381, 0.52069, 0.97899 },
{ 0.27273, 0.53040, 0.98461 },
{ 0.27106, 0.54015, 0.98930 },
{ 0.26878, 0.54995, 0.99303 },
{ 0.26592, 0.55979, 0.99583 },
{ 0.26252, 0.56967, 0.99773 },
{ 0.25862, 0.57958, 0.99876 },
{ 0.25425, 0.58950, 0.99896 },
{ 0.24946, 0.59943, 0.99835 },
{ 0.24427, 0.60937, 0.99697 },
{ 0.23874, 0.61931, 0.99485 },
{ 0.23288, 0.62923, 0.99202 },
{ 0.22676, 0.63913, 0.98851 },
{ 0.22039, 0.64901, 0.98436 },
{ 0.21382, 0.65886, 0.97959 },
{ 0.20708, 0.66866, 0.97423 },
{ 0.20021, 0.67842, 0.96833 },
{ 0.19326, 0.68812, 0.96190 },
{ 0.18625, 0.69775, 0.95498 },
{ 0.17923, 0.70732, 0.94761 },
{ 0.17223, 0.71680, 0.93981 },
{ 0.16529, 0.72620, 0.93161 },
{ 0.15844, 0.73551, 0.92305 },
{ 0.15173, 0.74472, 0.91416 },
{ 0.14519, 0.75381, 0.90496 },
{ 0.13886, 0.76279, 0.89550 },
{ 0.13278, 0.77165, 0.88580 },
{ 0.12698, 0.78037, 0.87590 },
{ 0.12151, 0.78896, 0.86581 },
{ 0.11639, 0.79740, 0.85559 },
{ 0.11167, 0.80569, 0.84525 },
{ 0.10738, 0.81381, 0.83484 },
{ 0.10357, 0.82177, 0.82437 },
{ 0.10026, 0.82955, 0.81389 },
{ 0.09750, 0.83714, 0.80342 },
{ 0.09532, 0.84455, 0.79299 },
{ 0.09377, 0.85175, 0.78264 },
{ 0.09287, 0.85875, 0.77240 },
{ 0.09267, 0.86554, 0.76230 },
{ 0.09320, 0.87211, 0.75237 },
{ 0.09451, 0.87844, 0.74265 },
{ 0.09662, 0.88454, 0.73316 },
{ 0.09958, 0.89040, 0.72393 },
{ 0.10342, 0.89600, 0.71500 },
{ 0.10815, 0.90142, 0.70599 },
{ 0.11374, 0.90673, 0.69651 },
{ 0.12014, 0.91193, 0.68660 },
{ 0.12733, 0.91701, 0.67627 },
{ 0.13526, 0.92197, 0.66556 },
{ 0.14391, 0.92680, 0.65448 },
{ 0.15323, 0.93151, 0.64308 },
{ 0.16319, 0.93609, 0.63137 },
{ 0.17377, 0.94053, 0.61938 },
{ 0.18491, 0.94484, 0.60713 },
{ 0.19659, 0.94901, 0.59466 },
{ 0.20877, 0.95304, 0.58199 },
{ 0.22142, 0.95692, 0.56914 },
{ 0.23449, 0.96065, 0.55614 },
{ 0.24797, 0.96423, 0.54303 },
{ 0.26180, 0.96765, 0.52981 },
{ 0.27597, 0.97092, 0.51653 },
{ 0.29042, 0.97403, 0.50321 },
{ 0.30513, 0.97697, 0.48987 },
{ 0.32006, 0.97974, 0.47654 },
{ 0.33517, 0.98234, 0.46325 },
{ 0.35043, 0.98477, 0.45002 },
{ 0.36581, 0.98702, 0.43688 },
{ 0.38127, 0.98909, 0.42386 },
{ 0.39678, 0.99098, 0.41098 },
{ 0.41229, 0.99268, 0.39826 },
{ 0.42778, 0.99419, 0.38575 },
{ 0.44321, 0.99551, 0.37345 },
{ 0.45854, 0.99663, 0.36140 },
{ 0.47375, 0.99755, 0.34963 },
{ 0.48879, 0.99828, 0.33816 },
{ 0.50362, 0.99879, 0.32701 },
{ 0.51822, 0.99910, 0.31622 },
{ 0.53255, 0.99919, 0.30581 },
{ 0.54658, 0.99907, 0.29581 },
{ 0.56026, 0.99873, 0.28623 },
{ 0.57357, 0.99817, 0.27712 },
{ 0.58646, 0.99739, 0.26849 },
{ 0.59891, 0.99638, 0.26038 },
{ 0.61088, 0.99514, 0.25280 },
{ 0.62233, 0.99366, 0.24579 },
{ 0.63323, 0.99195, 0.23937 },
{ 0.64362, 0.98999, 0.23356 },
{ 0.65394, 0.98775, 0.22835 },
{ 0.66428, 0.98524, 0.22370 },
{ 0.67462, 0.98246, 0.21960 },
{ 0.68494, 0.97941, 0.21602 },
{ 0.69525, 0.97610, 0.21294 },
{ 0.70553, 0.97255, 0.21032 },
{ 0.71577, 0.96875, 0.20815 },
{ 0.72596, 0.96470, 0.20640 },
{ 0.73610, 0.96043, 0.20504 },
{ 0.74617, 0.95593, 0.20406 },
{ 0.75617, 0.95121, 0.20343 },
{ 0.76608, 0.94627, 0.20311 },
{ 0.77591, 0.94113, 0.20310 },
{ 0.78563, 0.93579, 0.20336 },
{ 0.79524, 0.93025, 0.20386 },
{ 0.80473, 0.92452, 0.20459 },
{ 0.81410, 0.91861, 0.20552 },
{ 0.82333, 0.91253, 0.20663 },
{ 0.83241, 0.90627, 0.20788 },
{ 0.84133, 0.89986, 0.20926 },
{ 0.85010, 0.89328, 0.21074 },
{ 0.85868, 0.88655, 0.21230 },
{ 0.86709, 0.87968, 0.21391 },
{ 0.87530, 0.87267, 0.21555 },
{ 0.88331, 0.86553, 0.21719 },
{ 0.89112, 0.85826, 0.21880 },
{ 0.89870, 0.85087, 0.22038 },
{ 0.90605, 0.84337, 0.22188 },
{ 0.91317, 0.83576, 0.22328 },
{ 0.92004, 0.82806, 0.22456 },
{ 0.92666, 0.82025, 0.22570 },
{ 0.93301, 0.81236, 0.22667 },
{ 0.93909, 0.80439, 0.22744 },
{ 0.94489, 0.79634, 0.22800 },
{ 0.95039, 0.78823, 0.22831 },
{ 0.95560, 0.78005, 0.22836 },
{ 0.96049, 0.77181, 0.22811 },
{ 0.96507, 0.76352, 0.22754 },
{ 0.96931, 0.75519, 0.22663 },
{ 0.97323, 0.74682, 0.22536 },
{ 0.97679, 0.73842, 0.22369 },
{ 0.98000, 0.73000, 0.22161 },
{ 0.98289, 0.72140, 0.21918 },
{ 0.98549, 0.71250, 0.21650 },
{ 0.98781, 0.70330, 0.21358 },
{ 0.98986, 0.69382, 0.21043 },
{ 0.99163, 0.68408, 0.20706 },
{ 0.99314, 0.67408, 0.20348 },
{ 0.99438, 0.66386, 0.19971 },
{ 0.99535, 0.65341, 0.19577 },
{ 0.99607, 0.64277, 0.19165 },
{ 0.99654, 0.63193, 0.18738 },
{ 0.99675, 0.62093, 0.18297 },
{ 0.99672, 0.60977, 0.17842 },
{ 0.99644, 0.59846, 0.17376 },
{ 0.99593, 0.58703, 0.16899 },
{ 0.99517, 0.57549, 0.16412 },
{ 0.99419, 0.56386, 0.15918 },
{ 0.99297, 0.55214, 0.15417 },
{ 0.99153, 0.54036, 0.14910 },
{ 0.98987, 0.52854, 0.14398 },
{ 0.98799, 0.51667, 0.13883 },
{ 0.98590, 0.50479, 0.13367 },
{ 0.98360, 0.49291, 0.12849 },
{ 0.98108, 0.48104, 0.12332 },
{ 0.97837, 0.46920, 0.11817 },
{ 0.97545, 0.45740, 0.11305 },
{ 0.97234, 0.44565, 0.10797 },
{ 0.96904, 0.43399, 0.10294 },
{ 0.96555, 0.42241, 0.09798 },
{ 0.96187, 0.41093, 0.09310 },
{ 0.95801, 0.39958, 0.08831 },
{ 0.95398, 0.38836, 0.08362 },
{ 0.94977, 0.37729, 0.07905 },
{ 0.94538, 0.36638, 0.07461 },
{ 0.94084, 0.35566, 0.07031 },
{ 0.93612, 0.34513, 0.06616 },
{ 0.93125, 0.33482, 0.06218 },
{ 0.92623, 0.32473, 0.05837 },
{ 0.92105, 0.31489, 0.05475 },
{ 0.91572, 0.30530, 0.05134 },
{ 0.91024, 0.29599, 0.04814 },
{ 0.90463, 0.28696, 0.04516 },
{ 0.89888, 0.27824, 0.04243 },
{ 0.89298, 0.26981, 0.03993 },
{ 0.88691, 0.26152, 0.03753 },
{ 0.88066, 0.25334, 0.03521 },
{ 0.87422, 0.24526, 0.03297 },
{ 0.86760, 0.23730, 0.03082 },
{ 0.86079, 0.22945, 0.02875 },
{ 0.85380, 0.22170, 0.02677 },
{ 0.84662, 0.21407, 0.02487 },
{ 0.83926, 0.20654, 0.02305 },
{ 0.83172, 0.19912, 0.02131 },
{ 0.82399, 0.19182, 0.01966 },
{ 0.81608, 0.18462, 0.01809 },
{ 0.80799, 0.17753, 0.01660 },
{ 0.79971, 0.17055, 0.01520 },
{ 0.79125, 0.16368, 0.01387 },
{ 0.78260, 0.15693, 0.01264 },
{ 0.77377, 0.15028, 0.01148 },
{ 0.76476, 0.14374, 0.01041 },
{ 0.75556, 0.13731, 0.00942 },
{ 0.74617, 0.13098, 0.00851 },
{ 0.73661, 0.12477, 0.00769 },
{ 0.72686, 0.11867, 0.00695 },
{ 0.71692, 0.11268, 0.00629 },
{ 0.70680, 0.10680, 0.00571 },
{ 0.69650, 0.10102, 0.00522 },
{ 0.68602, 0.09536, 0.00481 },
{ 0.67535, 0.08980, 0.00449 },
{ 0.66449, 0.08436, 0.00424 },
{ 0.65345, 0.07902, 0.00408 },
{ 0.64223, 0.07380, 0.00401 },
{ 0.63082, 0.06868, 0.00401 },
{ 0.61923, 0.06367, 0.00410 },
{ 0.60746, 0.05878, 0.00427 },
{ 0.59550, 0.05399, 0.00453 },
{ 0.58336, 0.04931, 0.00486 },
{ 0.57103, 0.04474, 0.00529 },
{ 0.55852, 0.04028, 0.00579 },
{ 0.54583, 0.03593, 0.00638 },
{ 0.53295, 0.03169, 0.00705 },
{ 0.51989, 0.02756, 0.00780 },
{ 0.50664, 0.02354, 0.00863 },
{ 0.49321, 0.01963, 0.00955 },
{ 0.47960, 0.01583, 0.01055 }
};
return tcm_lerp(x, sizeof(data)/sizeof(*data), data);
}
inline tcm_Color tcm_hot(double x)
{
x = tcm_clamp01(x);
if (x < 0.4)
{
const double t = x / 0.4;
return (tcm_Color){t, 0.0, 0.0};
}
else if (x < 0.8)
{
const double t = (x - 0.4) / (0.8 - 0.4);
return (tcm_Color){1.0, t, 0.0};
}
else
{
const double t = (x - 0.8) / (1.0 - 0.8);
return (tcm_Color){1.0, 1.0, t};
}
}
inline tcm_Color tcm_gray(double x)
{
return (tcm_Color){1.0 - tcm_clamp01(x), 1.0 - tcm_clamp01(x), 1.0 - tcm_clamp01(x)};
}
inline tcm_Color tcm_magma(double x)
{
const tcm_Color data[] =
{
{ 0.001462, 0.000466, 0.013866 },
{ 0.002258, 0.001295, 0.018331 },
{ 0.003279, 0.002305, 0.023708 },
{ 0.004512, 0.003490, 0.029965 },
{ 0.005950, 0.004843, 0.037130 },
{ 0.007588, 0.006356, 0.044973 },
{ 0.009426, 0.008022, 0.052844 },
{ 0.011465, 0.009828, 0.060750 },
{ 0.013708, 0.011771, 0.068667 },
{ 0.016156, 0.013840, 0.076603 },
{ 0.018815, 0.016026, 0.084584 },
{ 0.021692, 0.018320, 0.092610 },
{ 0.024792, 0.020715, 0.100676 },
{ 0.028123, 0.023201, 0.108787 },
{ 0.031696, 0.025765, 0.116965 },
{ 0.035520, 0.028397, 0.125209 },
{ 0.039608, 0.031090, 0.133515 },
{ 0.043830, 0.033830, 0.141886 },
{ 0.048062, 0.036607, 0.150327 },
{ 0.052320, 0.039407, 0.158841 },
{ 0.056615, 0.042160, 0.167446 },
{ 0.060949, 0.044794, 0.176129 },
{ 0.065330, 0.047318, 0.184892 },
{ 0.069764, 0.049726, 0.193735 },
{ 0.074257, 0.052017, 0.202660 },
{ 0.078815, 0.054184, 0.211667 },
{ 0.083446, 0.056225, 0.220755 },
{ 0.088155, 0.058133, 0.229922 },
{ 0.092949, 0.059904, 0.239164 },
{ 0.097833, 0.061531, 0.248477 },
{ 0.102815, 0.063010, 0.257854 },
{ 0.107899, 0.064335, 0.267289 },
{ 0.113094, 0.065492, 0.276784 },
{ 0.118405, 0.066479, 0.286321 },
{ 0.123833, 0.067295, 0.295879 },
{ 0.129380, 0.067935, 0.305443 },
{ 0.135053, 0.068391, 0.315000 },
{ 0.140858, 0.068654, 0.324538 },
{ 0.146785, 0.068738, 0.334011 },
{ 0.152839, 0.068637, 0.343404 },
{ 0.159018, 0.068354, 0.352688 },
{ 0.165308, 0.067911, 0.361816 },
{ 0.171713, 0.067305, 0.370771 },
{ 0.178212, 0.066576, 0.379497 },
{ 0.184801, 0.065732, 0.387973 },
{ 0.191460, 0.064818, 0.396152 },
{ 0.198177, 0.063862, 0.404009 },
{ 0.204935, 0.062907, 0.411514 },
{ 0.211718, 0.061992, 0.418647 },
{ 0.218512, 0.061158, 0.425392 },
{ 0.225302, 0.060445, 0.431742 },
{ 0.232077, 0.059889, 0.437695 },
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