LUTSine.cpp

/*
 * Klang – a node+text-based synthesizer library
 *
 * This file is part of the *wellen* library (https://github.com/dennisppaul/wellen).
 * Copyright (c) 2022 Dennis P Paul.
 *
 * This library is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, version 3.
 *
 * This library is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
 * General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program. If not, see <http://www.gnu.org/licenses/>.
 */

#include "LUTSine.hpp"

using namespace klang;

const float LUTSine::WAVETABLE[WAVETABLE_LENGTH + 1] = {0.0, 0.0030679568, 0.0061358847, 0.009203754, 0.012271538, 0.015339207, 0.01840673, 0.021474082, 0.024541229, 0.027608145, 0.030674804, 0.033741176, 0.036807224, 0.03987293, 0.04293826, 0.04600318, 0.049067676, 0.05213171, 0.055195246, 0.058258265, 0.06132074, 0.064382635, 0.06744392, 0.070504576, 0.07356457, 0.076623864, 0.07968244, 0.08274027, 0.08579732, 0.08885355, 0.091908954, 0.0949635, 0.09801714, 0.10106987, 0.10412164, 0.10717243, 0.110222206, 0.11327095, 0.116318636, 0.119365215, 0.12241068, 0.12545498, 0.12849812, 0.13154003, 0.13458072, 0.13762012, 0.14065824, 0.14369504, 0.14673047, 0.14976454, 0.15279719, 0.15582842, 0.15885815, 0.1618864, 0.16491313, 0.16793829, 0.1709619, 0.17398387, 0.17700422, 0.18002291, 0.18303989, 0.18605515, 0.18906866, 0.19208041, 0.19509032, 0.1980984, 0.20110464, 0.20410897, 0.20711139, 0.21011184, 0.21311033, 0.2161068, 0.21910124, 0.22209363, 0.22508392, 0.22807209, 0.23105812, 0.23404196, 0.2370236, 0.24000302, 0.2429802, 0.24595505, 0.24892761, 0.2518978, 0.25486568, 0.2578311, 0.26079413, 0.2637547, 0.26671278, 0.2696683, 0.27262136, 0.27557182, 0.2785197, 0.28146493, 0.28440756, 0.28734747, 0.29028466, 0.29321918, 0.2961509, 0.29907984, 0.30200595, 0.30492926, 0.30784968, 0.31076714, 0.31368175, 0.3165934, 0.31950203, 0.3224077, 0.32531032, 0.32820985, 0.3311063, 0.33399966, 0.33688986, 0.33977687, 0.34266073, 0.34554133, 0.34841868, 0.35129276, 0.35416353, 0.357031, 0.35989505, 0.36275575, 0.365613, 0.36846682, 0.3713172, 0.37416407, 0.37700742, 0.3798472, 0.38268346, 0.38551608, 0.38834503, 0.39117038, 0.39399207, 0.39681, 0.3996242, 0.40243468, 0.40524134, 0.40804416, 0.4108432, 0.41363832, 0.41642958, 0.4192169, 0.4220003, 0.4247797, 0.42755508, 0.4303265, 0.43309385, 0.43585712, 0.43861625, 0.4413713, 0.44412217, 0.44686884, 0.44961134, 0.4523496, 0.45508358, 0.45781332, 0.46053872, 0.46325982, 0.4659765, 0.46868885, 0.47139674, 0.4741002, 0.47679925, 0.47949374, 0.48218375, 0.48486924, 0.48755017, 0.4902265, 0.49289823, 0.4955653, 0.49822766, 0.50088537, 0.50353837, 0.50618666, 0.5088302, 0.5114689, 0.51410276, 0.5167318, 0.519356, 0.5219753, 0.5245897, 0.52719915, 0.52980363, 0.5324032, 0.53499764, 0.5375871, 0.5401715, 0.5427508, 0.545325, 0.54789406, 0.550458, 0.5530167, 0.55557024, 0.5581185, 0.5606616, 0.56319934, 0.5657318, 0.568259, 0.57078075, 0.57329714, 0.5758082, 0.5783138, 0.580814, 0.5833087, 0.5857979, 0.5882816, 0.5907597, 0.59323233, 0.5956993, 0.59816074, 0.6006165, 0.6030666, 0.605511, 0.6079498, 0.6103828, 0.6128101, 0.61523163, 0.61764735, 0.6200572, 0.62246126, 0.6248595, 0.6272518, 0.62963825, 0.63201874, 0.63439333, 0.63676184, 0.63912445, 0.64148104, 0.64383155, 0.64617604, 0.64851445, 0.6508467, 0.65317285, 0.65549284, 0.6578067, 0.66011435, 0.6624158, 0.664711, 0.66699994, 0.66928256, 0.671559, 0.673829, 0.67609274, 0.6783501, 0.680601, 0.6828456, 0.6850837, 0.68731534, 0.68954057, 0.6917593, 0.69397146, 0.6961772, 0.6983763, 0.7005688, 0.70275474, 0.70493406, 0.70710677, 0.70927286, 0.7114322, 0.7135849, 0.71573085, 0.71787006, 0.72000253, 0.7221282, 0.7242471, 0.7263592, 0.7284644, 0.73056275, 0.7326543, 0.7347389, 0.7368166, 0.73888737, 0.7409512, 0.74300796, 0.74505776, 0.7471006, 0.7491364, 0.75116515, 0.7531868, 0.7552014, 0.7572089, 0.7592092, 0.7612024, 0.7631884, 0.7651673, 0.76713896, 0.76910335, 0.7710606, 0.77301043, 0.7749531, 0.7768885, 0.7788165, 0.7807373, 0.78265065, 0.7845566, 0.7864552, 0.7883464, 0.7902302, 0.79210657, 0.7939755, 0.7958369, 0.79769087, 0.7995373, 0.80137616, 0.8032075, 0.80503136, 0.8068476, 0.8086562, 0.81045717, 0.8122506, 0.8140363, 0.81581444, 0.8175848, 0.81934756, 0.82110256, 0.8228498, 0.8245893, 0.82632107, 0.82804507, 0.82976127, 0.83146966, 0.8331702, 0.8348629, 0.83654773, 0.8382247, 0.8398938, 0.84155494, 0.84320825, 0.8448536, 0.8464909, 0.84812033, 0.84974176, 0.8513552, 0.85296065, 0.854558, 0.85614735, 0.85772866, 0.85930187, 0.86086696, 0.862424, 0.86397284, 0.8655136, 0.86704624, 0.8685707, 0.87008697, 0.8715951, 0.873095, 0.87458664, 0.87607014, 0.8775453, 0.8790123, 0.88047093, 0.8819213, 0.8833633, 0.8847971, 0.88622254, 0.88763964, 0.88904834, 0.89044875, 0.8918407, 0.8932243, 0.8945995, 0.8959663, 0.8973246, 0.8986745, 0.90001595, 0.9013489, 0.9026733, 0.9039893, 0.90529674, 0.9065957, 0.90788615, 0.909168, 0.9104413, 0.91170603, 0.9129622, 0.9142098, 0.9154487, 0.9166791, 0.9179008, 0.9191139, 0.92031825, 0.92151403, 0.9227011, 0.9238795, 0.92504925, 0.9262102, 0.92736256, 0.9285061, 0.9296409, 0.930767, 0.9318843, 0.9329928, 0.9340926, 0.9351835, 0.93626565, 0.937339, 0.93840355, 0.9394592, 0.9405061, 0.94154406, 0.9425732, 0.94359344, 0.9446049, 0.94560736, 0.9466009, 0.94758564, 0.9485614, 0.9495282, 0.95048606, 0.951435, 0.952375, 0.953306, 0.9542281, 0.9551412, 0.95604527, 0.95694035, 0.95782644, 0.9587035, 0.95957154, 0.96043056, 0.9612805, 0.9621214, 0.96295327, 0.96377605, 0.9645898, 0.96539444, 0.96619, 0.96697646, 0.9677538, 0.96852213, 0.96928126, 0.97003126, 0.97077215, 0.9715039, 0.9722265, 0.97293997, 0.97364426, 0.97433937, 0.97502536, 0.9757021, 0.97636974, 0.97702813, 0.97767735, 0.9783174, 0.9789482, 0.9795698, 0.9801822, 0.9807853, 0.9813792, 0.9819639, 0.9825393, 0.9831055, 0.9836624, 0.9842101, 0.9847485, 0.98527765, 0.9857975, 0.9863081, 0.98680943, 0.9873014, 0.98778415, 0.9882576, 0.9887217, 0.9891765, 0.989622, 0.9900582, 0.9904851, 0.99090266, 0.99131083, 0.99170977, 0.99209934, 0.99247956, 0.9928504, 0.993212, 0.9935641, 0.993907, 0.99424046, 0.9945646, 0.9948793, 0.9951847, 0.9954808, 0.9957674, 0.9960447, 0.9963126, 0.9965711, 0.99682033, 0.99706006, 0.99729043, 0.99751145, 0.99772304, 0.9979253, 0.9981181, 0.99830157, 0.99847555, 0.99864024, 0.99879545, 0.9989413, 0.99907774, 0.99920475, 0.9993224, 0.9994306, 0.9995294, 0.9996188, 0.9996988, 0.9997694, 0.9998306, 0.99988234, 0.9999247, 0.9999576, 0.99998116, 0.9999953, 1.0, 0.9999953, 0.99998116, 0.9999576, 0.9999247, 0.99988234, 0.9998306, 0.9997694, 0.9996988, 0.9996188, 0.9995294, 0.9994306, 0.99932235, 0.99920475, 0.99907774, 0.9989413, 0.99879545, 0.99864024, 0.99847555, 0.99830157, 0.9981181, 0.9979253, 0.99772304, 0.99751145, 0.99729043, 0.99706006, 0.9968203, 0.9965711, 0.9963126, 0.9960447, 0.9957674, 0.9954808, 0.9951847, 0.9948793, 0.99456453, 0.99424046, 0.993907, 0.9935641, 0.9932119, 0.9928504, 0.9924795, 0.9920993, 0.99170977, 0.99131083, 0.9909026, 0.9904851, 0.9900582, 0.989622, 0.9891765, 0.98872167, 0.9882576, 0.98778415, 0.9873014, 0.9868094, 0.9863081, 0.9857975, 0.98527765, 0.9847485, 0.9842101, 0.9836624, 0.9831055, 0.9825393, 0.9819639, 0.9813792, 0.98078525, 0.9801821, 0.97956973, 0.9789482, 0.9783174, 0.97767735, 0.97702813, 0.97636974, 0.9757021, 0.97502536, 0.97433937, 0.97364426, 0.9729399, 0.9722265, 0.9715039, 0.97077215, 0.97003126, 0.96928126, 0.9685221, 0.9677538, 0.96697646, 0.96619, 0.96539444, 0.9645898, 0.96377605, 0.9629532, 0.9621214, 0.96128047, 0.9604305, 0.9595715, 0.95870346, 0.9578264, 0.9569403, 0.9560452, 0.9551411, 0.9542281, 0.953306, 0.952375, 0.95143497, 0.95048606, 0.94952816, 0.9485614, 0.9475856, 0.9466009, 0.9456073, 0.9446048, 0.94359344, 0.9425732, 0.94154406, 0.94050604, 0.9394592, 0.9384035, 0.93733895, 0.93626565, 0.9351835, 0.9340925, 0.9329928, 0.9318842, 0.93076694, 0.9296409, 0.9285061, 0.9273625, 0.9262102, 0.9250492, 0.9238795, 0.9227011, 0.921514, 0.92031825, 0.9191139, 0.9179008, 0.916679, 0.9154487, 0.9142097, 0.9129622, 0.91170603, 0.9104413, 0.909168, 0.90788615, 0.9065957, 0.90529674, 0.9039893, 0.9026733, 0.9013488, 0.9000159, 0.8986744, 0.89732456, 0.89596623, 0.89459944, 0.8932243, 0.8918407, 0.8904487, 0.88904834, 0.8876396, 0.8862225, 0.88479704, 0.8833633, 0.88192123, 0.8804708, 0.87901217, 0.87754524, 0.87607, 0.8745866, 0.8730949, 0.8715951, 0.870087, 0.86857074, 0.86704624, 0.8655136, 0.86397284, 0.86242396, 0.86086696, 0.8593018, 0.8577286, 0.8561473, 0.854558, 0.8529606, 0.85135514, 0.84974176, 0.84812033, 0.8464909, 0.8448535, 0.8432082, 0.84155494, 0.83989376, 0.83822465, 0.8365477, 0.83486277, 0.83317006, 0.83146954, 0.82976115, 0.82804507, 0.82632107, 0.8245893, 0.8228498, 0.8211025, 0.8193475, 0.8175848, 0.81581444, 0.8140363, 0.81225055, 0.81045717, 0.80865616, 0.8068475, 0.8050313, 0.8032075, 0.8013761, 0.79953724, 0.7976908, 0.79583687, 0.7939754, 0.7921065, 0.79023015, 0.78834635, 0.78645515, 0.7845565, 0.7826505, 0.7807371, 0.7788164, 0.7768885, 0.7749531, 0.7730105, 0.7710605, 0.76910335, 0.7671389, 0.76516724, 0.7631884, 0.7612024, 0.75920916, 0.7572088, 0.75520134, 0.75318676, 0.7511651, 0.7491363, 0.74710053, 0.7450577, 0.7430079, 0.74095106, 0.73888725, 0.73681647, 0.73473877, 0.73265415, 0.7305627, 0.7284643, 0.72635907, 0.724247, 0.7221281, 0.72000253, 0.71787006, 0.71573085, 0.7135849, 0.7114322, 0.7092728, 0.70710677, 0.70493406, 0.70275474, 0.7005688, 0.69837624, 0.6961771, 0.6939714, 0.6917592, 0.6895405, 0.6873153, 0.6850836, 0.6828455, 0.68060094, 0.67835, 0.6760926, 0.6738289, 0.67155886, 0.6692825, 0.6669998, 0.6647109, 0.6624156, 0.6601144, 0.6578067, 0.6554929, 0.65317285, 0.6508467, 0.6485144, 0.64617604, 0.64383155, 0.641481, 0.6391244, 0.63676184, 0.6343933, 0.6320187, 0.6296382, 0.62725174, 0.62485945, 0.6224612, 0.6200571, 0.61764723, 0.6152315, 0.61280996, 0.6103827, 0.6079497, 0.60551095, 0.60306644, 0.60061634, 0.59816056, 0.59569913, 0.59323233, 0.59075975, 0.5882816, 0.58579785, 0.58330864, 0.58081394, 0.57831377, 0.57580817, 0.57329714, 0.5707807, 0.56825894, 0.56573176, 0.5631993, 0.5606615, 0.55811846, 0.5555702, 0.5530166, 0.5504579, 0.54789394, 0.54532486, 0.54275066, 0.5401714, 0.5375869, 0.53499746, 0.532403, 0.52980345, 0.527199, 0.52458954, 0.52197534, 0.519356, 0.5167318, 0.51410276, 0.5114688, 0.50883013, 0.5061866, 0.50353837, 0.50088537, 0.49822763, 0.4955652, 0.49289814, 0.49022642, 0.4875501, 0.48486918, 0.4821837, 0.47949368, 0.47679913, 0.4741001, 0.47139663, 0.4686887, 0.46597636, 0.46325964, 0.46053857, 0.45781314, 0.45508343, 0.45234942, 0.44961137, 0.44686887, 0.44412217, 0.4413713, 0.43861625, 0.4358571, 0.43309382, 0.43032646, 0.42755505, 0.42477965, 0.42200023, 0.41921684, 0.4164295, 0.41363823, 0.4108431, 0.40804407, 0.40524122, 0.40243456, 0.3996241, 0.39680988, 0.39399192, 0.39117026, 0.3883449, 0.3855159, 0.38268328, 0.37984705, 0.37700725, 0.3741639, 0.37131724, 0.36846685, 0.365613, 0.36275575, 0.35989505, 0.35703096, 0.3541635, 0.35129273, 0.34841865, 0.3455413, 0.34266067, 0.33977684, 0.3368898, 0.33399957, 0.33110622, 0.32820976, 0.3253102, 0.32240757, 0.3195019, 0.31659326, 0.3136816, 0.31076702, 0.3078495, 0.30492908, 0.3020058, 0.29907966, 0.2961507, 0.29321897, 0.29028472, 0.2873475, 0.28440756, 0.28146493, 0.2785197, 0.27557182, 0.27262133, 0.2696683, 0.26671273, 0.26375464, 0.26079407, 0.25783104, 0.2548656, 0.25189775, 0.24892752, 0.24595496, 0.24298008, 0.24000292, 0.23702349, 0.23404182, 0.23105797, 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