2023-11-09 22:23:14 -05:00
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import numpy as np
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2023-11-10 02:01:47 -05:00
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XYZ2RGB_matrix = np.array([[3.2404542, -1.5371385, -0.4985314],
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[-0.9692660, 1.8760108, 0.0415560],
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[ 0.0556434, -0.2040259, 1.0572252]])
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2023-11-09 22:23:14 -05:00
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RGB2XYZ_matrix = np.linalg.inv(XYZ2RGB_matrix)
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_CIEXYZ_1931_table = [
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[ 360, 0.000129900000, 0.000003917000, 0.000606100000 ],
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[ 361, 0.000145847000, 0.000004393581, 0.000680879200 ],
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[ 362, 0.000163802100, 0.000004929604, 0.000765145600 ],
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[ 363, 0.000184003700, 0.000005532136, 0.000860012400 ],
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[ 364, 0.000206690200, 0.000006208245, 0.000966592800 ],
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[ 365, 0.000232100000, 0.000006965000, 0.001086000000 ],
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[ 366, 0.000260728000, 0.000007813219, 0.001220586000 ],
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[ 367, 0.000293075000, 0.000008767336, 0.001372729000 ],
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[ 368, 0.000329388000, 0.000009839844, 0.001543579000 ],
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[ 369, 0.000369914000, 0.000011043230, 0.001734286000 ],
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[ 370, 0.000414900000, 0.000012390000, 0.001946000000 ],
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[ 371, 0.000464158700, 0.000013886410, 0.002177777000 ],
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[ 372, 0.000518986000, 0.000015557280, 0.002435809000 ],
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[ 373, 0.000581854000, 0.000017442960, 0.002731953000 ],
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[ 374, 0.000655234700, 0.000019583750, 0.003078064000 ],
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[ 375, 0.000741600000, 0.000022020000, 0.003486000000 ],
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[ 376, 0.000845029600, 0.000024839650, 0.003975227000 ],
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[ 377, 0.000964526800, 0.000028041260, 0.004540880000 ],
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[ 378, 0.001094949000, 0.000031531040, 0.005158320000 ],
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[ 379, 0.001231154000, 0.000035215210, 0.005802907000 ],
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[ 380, 0.001368000000, 0.000039000000, 0.006450001000 ],
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[ 381, 0.001502050000, 0.000042826400, 0.007083216000 ],
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[ 382, 0.001642328000, 0.000046914600, 0.007745488000 ],
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[ 383, 0.001802382000, 0.000051589600, 0.008501152000 ],
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[ 384, 0.001995757000, 0.000057176400, 0.009414544000 ],
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[ 385, 0.002236000000, 0.000064000000, 0.010549990000 ],
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[ 386, 0.002535385000, 0.000072344210, 0.011965800000 ],
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[ 387, 0.002892603000, 0.000082212240, 0.013655870000 ],
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[ 388, 0.003300829000, 0.000093508160, 0.015588050000 ],
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[ 389, 0.003753236000, 0.000106136100, 0.017730150000 ],
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[ 390, 0.004243000000, 0.000120000000, 0.020050010000 ],
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[ 391, 0.004762389000, 0.000134984000, 0.022511360000 ],
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[ 392, 0.005330048000, 0.000151492000, 0.025202880000 ],
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[ 393, 0.005978712000, 0.000170208000, 0.028279720000 ],
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[ 394, 0.006741117000, 0.000191816000, 0.031897040000 ],
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[ 395, 0.007650000000, 0.000217000000, 0.036210000000 ],
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[ 396, 0.008751373000, 0.000246906700, 0.041437710000 ],
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[ 397, 0.010028880000, 0.000281240000, 0.047503720000 ],
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[ 398, 0.011421700000, 0.000318520000, 0.054119880000 ],
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[ 399, 0.012869010000, 0.000357266700, 0.060998030000 ],
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[ 400, 0.014310000000, 0.000396000000, 0.067850010000 ],
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[ 401, 0.015704430000, 0.000433714700, 0.074486320000 ],
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[ 402, 0.017147440000, 0.000473024000, 0.081361560000 ],
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[ 403, 0.018781220000, 0.000517876000, 0.089153640000 ],
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[ 404, 0.020748010000, 0.000572218700, 0.098540480000 ],
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[ 405, 0.023190000000, 0.000640000000, 0.110200000000 ],
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[ 406, 0.026207360000, 0.000724560000, 0.124613300000 ],
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[ 407, 0.029782480000, 0.000825500000, 0.141701700000 ],
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[ 408, 0.033880920000, 0.000941160000, 0.161303500000 ],
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[ 409, 0.038468240000, 0.001069880000, 0.183256800000 ],
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[ 410, 0.043510000000, 0.001210000000, 0.207400000000 ],
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[ 411, 0.048995600000, 0.001362091000, 0.233692100000 ],
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[ 412, 0.055022600000, 0.001530752000, 0.262611400000 ],
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[ 413, 0.061718800000, 0.001720368000, 0.294774600000 ],
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[ 414, 0.069212000000, 0.001935323000, 0.330798500000 ],
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[ 415, 0.077630000000, 0.002180000000, 0.371300000000 ],
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[ 416, 0.086958110000, 0.002454800000, 0.416209100000 ],
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[ 417, 0.097176720000, 0.002764000000, 0.465464200000 ],
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[ 418, 0.108406300000, 0.003117800000, 0.519694800000 ],
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[ 419, 0.120767200000, 0.003526400000, 0.579530300000 ],
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[ 420, 0.134380000000, 0.004000000000, 0.645600000000 ],
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[ 421, 0.149358200000, 0.004546240000, 0.718483800000 ],
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[ 422, 0.165395700000, 0.005159320000, 0.796713300000 ],
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[ 423, 0.181983100000, 0.005829280000, 0.877845900000 ],
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[ 424, 0.198611000000, 0.006546160000, 0.959439000000 ],
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[ 425, 0.214770000000, 0.007300000000, 1.039050100000 ],
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[ 426, 0.230186800000, 0.008086507000, 1.115367300000 ],
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[ 427, 0.244879700000, 0.008908720000, 1.188497100000 ],
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[ 428, 0.258777300000, 0.009767680000, 1.258123300000 ],
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[ 429, 0.271807900000, 0.010664430000, 1.323929600000 ],
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[ 430, 0.283900000000, 0.011600000000, 1.385600000000 ],
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[ 431, 0.294943800000, 0.012573170000, 1.442635200000 ],
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[ 432, 0.304896500000, 0.013582720000, 1.494803500000 ],
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[ 433, 0.313787300000, 0.014629680000, 1.542190300000 ],
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[ 434, 0.321645400000, 0.015715090000, 1.584880700000 ],
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[ 435, 0.328500000000, 0.016840000000, 1.622960000000 ],
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[ 436, 0.334351300000, 0.018007360000, 1.656404800000 ],
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[ 437, 0.339210100000, 0.019214480000, 1.685295900000 ],
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[ 438, 0.343121300000, 0.020453920000, 1.709874500000 ],
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[ 439, 0.346129600000, 0.021718240000, 1.730382100000 ],
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[ 440, 0.348280000000, 0.023000000000, 1.747060000000 ],
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[ 441, 0.349599900000, 0.024294610000, 1.760044600000 ],
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[ 442, 0.350147400000, 0.025610240000, 1.769623300000 ],
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[ 443, 0.350013000000, 0.026958570000, 1.776263700000 ],
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[ 444, 0.349287000000, 0.028351250000, 1.780433400000 ],
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[ 445, 0.348060000000, 0.029800000000, 1.782600000000 ],
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[ 446, 0.346373300000, 0.031310830000, 1.782968200000 ],
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[ 447, 0.344262400000, 0.032883680000, 1.781699800000 ],
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[ 448, 0.341808800000, 0.034521120000, 1.779198200000 ],
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[ 449, 0.339094100000, 0.036225710000, 1.775867100000 ],
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[ 450, 0.336200000000, 0.038000000000, 1.772110000000 ],
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[ 451, 0.333197700000, 0.039846670000, 1.768258900000 ],
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[ 452, 0.330041100000, 0.041768000000, 1.764039000000 ],
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[ 453, 0.326635700000, 0.043766000000, 1.758943800000 ],
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[ 454, 0.322886800000, 0.045842670000, 1.752466300000 ],
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[ 455, 0.318700000000, 0.048000000000, 1.744100000000 ],
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[ 456, 0.314025100000, 0.050243680000, 1.733559500000 ],
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[ 457, 0.308884000000, 0.052573040000, 1.720858100000 ],
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[ 458, 0.303290400000, 0.054980560000, 1.705936900000 ],
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[ 459, 0.297257900000, 0.057458720000, 1.688737200000 ],
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[ 460, 0.290800000000, 0.060000000000, 1.669200000000 ],
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[ 461, 0.283970100000, 0.062601970000, 1.647528700000 ],
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[ 462, 0.276721400000, 0.065277520000, 1.623412700000 ],
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[ 463, 0.268917800000, 0.068042080000, 1.596022300000 ],
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[ 464, 0.260422700000, 0.070911090000, 1.564528000000 ],
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[ 465, 0.251100000000, 0.073900000000, 1.528100000000 ],
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[ 466, 0.240847500000, 0.077016000000, 1.486111400000 ],
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[ 467, 0.229851200000, 0.080266400000, 1.439521500000 ],
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[ 468, 0.218407200000, 0.083666800000, 1.389879900000 ],
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[ 469, 0.206811500000, 0.087232800000, 1.338736200000 ],
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[ 470, 0.195360000000, 0.090980000000, 1.287640000000 ],
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[ 471, 0.184213600000, 0.094917550000, 1.237422300000 ],
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[ 472, 0.173327300000, 0.099045840000, 1.187824300000 ],
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[ 473, 0.162688100000, 0.103367400000, 1.138761100000 ],
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[ 474, 0.152283300000, 0.107884600000, 1.090148000000 ],
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[ 475, 0.142100000000, 0.112600000000, 1.041900000000 ],
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[ 476, 0.132178600000, 0.117532000000, 0.994197600000 ],
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[ 477, 0.122569600000, 0.122674400000, 0.947347300000 ],
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[ 478, 0.113275200000, 0.127992800000, 0.901453100000 ],
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[ 479, 0.104297900000, 0.133452800000, 0.856619300000 ],
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[ 480, 0.095640000000, 0.139020000000, 0.812950100000 ],
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[ 481, 0.087299550000, 0.144676400000, 0.770517300000 ],
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[ 482, 0.079308040000, 0.150469300000, 0.729444800000 ],
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[ 483, 0.071717760000, 0.156461900000, 0.689913600000 ],
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[ 484, 0.064580990000, 0.162717700000, 0.652104900000 ],
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[ 485, 0.057950010000, 0.169300000000, 0.616200000000 ],
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[ 486, 0.051862110000, 0.176243100000, 0.582328600000 ],
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[ 487, 0.046281520000, 0.183558100000, 0.550416200000 ],
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[ 488, 0.041150880000, 0.191273500000, 0.520337600000 ],
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[ 489, 0.036412830000, 0.199418000000, 0.491967300000 ],
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[ 490, 0.032010000000, 0.208020000000, 0.465180000000 ],
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[ 491, 0.027917200000, 0.217119900000, 0.439924600000 ],
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[ 492, 0.024144400000, 0.226734500000, 0.416183600000 ],
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[ 493, 0.020687000000, 0.236857100000, 0.393882200000 ],
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[ 494, 0.017540400000, 0.247481200000, 0.372945900000 ],
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[ 495, 0.014700000000, 0.258600000000, 0.353300000000 ],
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[ 496, 0.012161790000, 0.270184900000, 0.334857800000 ],
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[ 497, 0.009919960000, 0.282293900000, 0.317552100000 ],
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[ 498, 0.007967240000, 0.295050500000, 0.301337500000 ],
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[ 499, 0.006296346000, 0.308578000000, 0.286168600000 ],
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[ 500, 0.004900000000, 0.323000000000, 0.272000000000 ],
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[ 501, 0.003777173000, 0.338402100000, 0.258817100000 ],
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[ 502, 0.002945320000, 0.354685800000, 0.246483800000 ],
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[ 503, 0.002424880000, 0.371698600000, 0.234771800000 ],
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[ 504, 0.002236293000, 0.389287500000, 0.223453300000 ],
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[ 505, 0.002400000000, 0.407300000000, 0.212300000000 ],
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[ 506, 0.002925520000, 0.425629900000, 0.201169200000 ],
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[ 507, 0.003836560000, 0.444309600000, 0.190119600000 ],
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[ 508, 0.005174840000, 0.463394400000, 0.179225400000 ],
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[ 509, 0.006982080000, 0.482939500000, 0.168560800000 ],
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[ 510, 0.009300000000, 0.503000000000, 0.158200000000 ],
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[ 511, 0.012149490000, 0.523569300000, 0.148138300000 ],
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[ 512, 0.015535880000, 0.544512000000, 0.138375800000 ],
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[ 513, 0.019477520000, 0.565690000000, 0.128994200000 ],
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[ 514, 0.023992770000, 0.586965300000, 0.120075100000 ],
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[ 515, 0.029100000000, 0.608200000000, 0.111700000000 ],
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[ 516, 0.034814850000, 0.629345600000, 0.103904800000 ],
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[ 517, 0.041120160000, 0.650306800000, 0.096667480000 ],
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[ 518, 0.047985040000, 0.670875200000, 0.089982720000 ],
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[ 519, 0.055378610000, 0.690842400000, 0.083845310000 ],
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[ 520, 0.063270000000, 0.710000000000, 0.078249990000 ],
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[ 521, 0.071635010000, 0.728185200000, 0.073208990000 ],
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[ 522, 0.080462240000, 0.745463600000, 0.068678160000 ],
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[ 523, 0.089739960000, 0.761969400000, 0.064567840000 ],
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[ 524, 0.099456450000, 0.777836800000, 0.060788350000 ],
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[ 525, 0.109600000000, 0.793200000000, 0.057250010000 ],
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[ 526, 0.120167400000, 0.808110400000, 0.053904350000 ],
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[ 527, 0.131114500000, 0.822496200000, 0.050746640000 ],
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[ 528, 0.142367900000, 0.836306800000, 0.047752760000 ],
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[ 529, 0.153854200000, 0.849491600000, 0.044898590000 ],
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[ 530, 0.165500000000, 0.862000000000, 0.042160000000 ],
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[ 531, 0.177257100000, 0.873810800000, 0.039507280000 ],
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[ 532, 0.189140000000, 0.884962400000, 0.036935640000 ],
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[ 533, 0.201169400000, 0.895493600000, 0.034458360000 ],
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[ 534, 0.213365800000, 0.905443200000, 0.032088720000 ],
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[ 535, 0.225749900000, 0.914850100000, 0.029840000000 ],
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[ 536, 0.238320900000, 0.923734800000, 0.027711810000 ],
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[ 537, 0.251066800000, 0.932092400000, 0.025694440000 ],
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[ 538, 0.263992200000, 0.939922600000, 0.023787160000 ],
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[ 539, 0.277101700000, 0.947225200000, 0.021989250000 ],
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[ 540, 0.290400000000, 0.954000000000, 0.020300000000 ],
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[ 541, 0.303891200000, 0.960256100000, 0.018718050000 ],
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[ 542, 0.317572600000, 0.966007400000, 0.017240360000 ],
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[ 543, 0.331438400000, 0.971260600000, 0.015863640000 ],
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[ 544, 0.345482800000, 0.976022500000, 0.014584610000 ],
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[ 545, 0.359700000000, 0.980300000000, 0.013400000000 ],
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[ 546, 0.374083900000, 0.984092400000, 0.012307230000 ],
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[ 547, 0.388639600000, 0.987418200000, 0.011301880000 ],
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[ 548, 0.403378400000, 0.990312800000, 0.010377920000 ],
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[ 549, 0.418311500000, 0.992811600000, 0.009529306000 ],
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[ 550, 0.433449900000, 0.994950100000, 0.008749999000 ],
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[ 551, 0.448795300000, 0.996710800000, 0.008035200000 ],
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[ 552, 0.464336000000, 0.998098300000, 0.007381600000 ],
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[ 553, 0.480064000000, 0.999112000000, 0.006785400000 ],
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[ 554, 0.495971300000, 0.999748200000, 0.006242800000 ],
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[ 555, 0.512050100000, 1.000000000000, 0.005749999000 ],
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[ 556, 0.528295900000, 0.999856700000, 0.005303600000 ],
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[ 557, 0.544691600000, 0.999304600000, 0.004899800000 ],
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[ 558, 0.561209400000, 0.998325500000, 0.004534200000 ],
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[ 559, 0.577821500000, 0.996898700000, 0.004202400000 ],
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[ 560, 0.594500000000, 0.995000000000, 0.003900000000 ],
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[ 561, 0.611220900000, 0.992600500000, 0.003623200000 ],
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[ 562, 0.627975800000, 0.989742600000, 0.003370600000 ],
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[ 563, 0.644760200000, 0.986444400000, 0.003141400000 ],
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[ 564, 0.661569700000, 0.982724100000, 0.002934800000 ],
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[ 565, 0.678400000000, 0.978600000000, 0.002749999000 ],
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[ 566, 0.695239200000, 0.974083700000, 0.002585200000 ],
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[ 567, 0.712058600000, 0.969171200000, 0.002438600000 ],
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[ 785, 0.000029353260, 0.000010600000, 0.000000000000 ],
|
|
|
|
[ 786, 0.000027375730, 0.000009885877, 0.000000000000 ],
|
|
|
|
[ 787, 0.000025524330, 0.000009217304, 0.000000000000 ],
|
|
|
|
[ 788, 0.000023793760, 0.000008592362, 0.000000000000 ],
|
|
|
|
[ 789, 0.000022178700, 0.000008009133, 0.000000000000 ],
|
|
|
|
[ 790, 0.000020673830, 0.000007465700, 0.000000000000 ],
|
|
|
|
[ 791, 0.000019272260, 0.000006959567, 0.000000000000 ],
|
|
|
|
[ 792, 0.000017966400, 0.000006487995, 0.000000000000 ],
|
|
|
|
[ 793, 0.000016749910, 0.000006048699, 0.000000000000 ],
|
|
|
|
[ 794, 0.000015616480, 0.000005639396, 0.000000000000 ],
|
|
|
|
[ 795, 0.000014559770, 0.000005257800, 0.000000000000 ],
|
|
|
|
[ 796, 0.000013573870, 0.000004901771, 0.000000000000 ],
|
|
|
|
[ 797, 0.000012654360, 0.000004569720, 0.000000000000 ],
|
|
|
|
[ 798, 0.000011797230, 0.000004260194, 0.000000000000 ],
|
|
|
|
[ 799, 0.000010998440, 0.000003971739, 0.000000000000 ],
|
|
|
|
[ 800, 0.000010253980, 0.000003702900, 0.000000000000 ],
|
|
|
|
[ 801, 0.000009559646, 0.000003452163, 0.000000000000 ],
|
|
|
|
[ 802, 0.000008912044, 0.000003218302, 0.000000000000 ],
|
|
|
|
[ 803, 0.000008308358, 0.000003000300, 0.000000000000 ],
|
|
|
|
[ 804, 0.000007745769, 0.000002797139, 0.000000000000 ],
|
|
|
|
[ 805, 0.000007221456, 0.000002607800, 0.000000000000 ],
|
|
|
|
[ 806, 0.000006732475, 0.000002431220, 0.000000000000 ],
|
|
|
|
[ 807, 0.000006276423, 0.000002266531, 0.000000000000 ],
|
|
|
|
[ 808, 0.000005851304, 0.000002113013, 0.000000000000 ],
|
|
|
|
[ 809, 0.000005455118, 0.000001969943, 0.000000000000 ],
|
|
|
|
[ 810, 0.000005085868, 0.000001836600, 0.000000000000 ],
|
|
|
|
[ 811, 0.000004741466, 0.000001712230, 0.000000000000 ],
|
|
|
|
[ 812, 0.000004420236, 0.000001596228, 0.000000000000 ],
|
|
|
|
[ 813, 0.000004120783, 0.000001488090, 0.000000000000 ],
|
|
|
|
[ 814, 0.000003841716, 0.000001387314, 0.000000000000 ],
|
|
|
|
[ 815, 0.000003581652, 0.000001293400, 0.000000000000 ],
|
|
|
|
[ 816, 0.000003339127, 0.000001205820, 0.000000000000 ],
|
|
|
|
[ 817, 0.000003112949, 0.000001124143, 0.000000000000 ],
|
|
|
|
[ 818, 0.000002902121, 0.000001048009, 0.000000000000 ],
|
|
|
|
[ 819, 0.000002705645, 0.000000977058, 0.000000000000 ],
|
|
|
|
[ 820, 0.000002522525, 0.000000910930, 0.000000000000 ],
|
|
|
|
[ 821, 0.000002351726, 0.000000849251, 0.000000000000 ],
|
|
|
|
[ 822, 0.000002192415, 0.000000791721, 0.000000000000 ],
|
|
|
|
[ 823, 0.000002043902, 0.000000738090, 0.000000000000 ],
|
|
|
|
[ 824, 0.000001905497, 0.000000688110, 0.000000000000 ],
|
|
|
|
[ 825, 0.000001776509, 0.000000641530, 0.000000000000 ],
|
|
|
|
[ 826, 0.000001656215, 0.000000598090, 0.000000000000 ],
|
|
|
|
[ 827, 0.000001544022, 0.000000557575, 0.000000000000 ],
|
|
|
|
[ 828, 0.000001439440, 0.000000519808, 0.000000000000 ],
|
|
|
|
[ 829, 0.000001341977, 0.000000484612, 0.000000000000 ],
|
|
|
|
[ 830, 0.000001251141, 0.000000451810, 0.000000000000 ]
|
|
|
|
]
|
|
|
|
|
|
|
|
data_wavelength = np.array(_CIEXYZ_1931_table)[:,0]
|
|
|
|
data_x = np.array(_CIEXYZ_1931_table)[:,1]
|
|
|
|
data_y = np.array(_CIEXYZ_1931_table)[:,2]
|
|
|
|
data_z = np.array(_CIEXYZ_1931_table)[:,3]
|
|
|
|
|
2023-11-10 02:01:47 -05:00
|
|
|
def XYZ2RGB(XYZ):
|
2023-11-09 22:23:14 -05:00
|
|
|
return np.dot(XYZ2RGB_matrix, XYZ)
|
|
|
|
|
2023-11-10 02:01:47 -05:00
|
|
|
def RGB2XYZ(RGB):
|
2023-11-09 22:23:14 -05:00
|
|
|
return np.dot(RGB2XYZ_matrix, RGB)
|
|
|
|
|
2023-11-10 02:01:47 -05:00
|
|
|
def gamma_correct(c):
|
|
|
|
if c <= 0.0031308:
|
|
|
|
return 12.92 * c
|
|
|
|
else:
|
|
|
|
return 1.055 * (c ** (1 / 2.4)) - 0.055
|
|
|
|
|
|
|
|
def vectorized_gamma_correct(array):
|
|
|
|
return np.where(array <= 0.0031308, 12.92*array, 1.055*np.power(array, 1/2.4)-0.055)
|
|
|
|
|
2023-11-09 22:23:14 -05:00
|
|
|
def wavelength2XYZ(wavelength, intensity):
|
|
|
|
X = np.interp(wavelength, data_wavelength, data_x, 0, 0)
|
|
|
|
Y = np.interp(wavelength, data_wavelength, data_y, 0, 0)
|
|
|
|
Z = np.interp(wavelength, data_wavelength, data_z, 0, 0)
|
|
|
|
return intensity*np.array([X,Y,Z])
|
|
|
|
|
|
|
|
def spectral2XYZ(spectral):
|
|
|
|
X = np.dot(spectral, data_x)
|
|
|
|
Y = np.dot(spectral, data_y)
|
|
|
|
Z = np.dot(spectral, data_z)
|
2023-11-10 02:01:47 -05:00
|
|
|
return np.array([X,Y,Z])
|