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/* SPDX-License-Identifier: BSD-2-Clause */

/*
 * Copyright (C) 2022 Critical Software SA
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 */

#ifndef _TRIG_TABLES_H
#define _TRIG_TABLES_H

#ifndef PI
#define PI           (3.14159265358979323846f)
#endif

#define FFT_TABLE_SIZE (8192U)

static const float cosTable[FFT_TABLE_SIZE]={
            1.00000000, 0.99999970, 0.99999881, 0.99999738, 0.99999529, 0.99999267, 0.99998939, 0.99998558,
            0.99998116, 0.99997616, 0.99997061, 0.99996442, 0.99995762, 0.99995029, 0.99994236, 0.99993384,
            0.99992472, 0.99991500, 0.99990469, 0.99989384, 0.99988234, 0.99987030, 0.99985766, 0.99984443,
            0.99983060, 0.99981618, 0.99980116, 0.99978560, 0.99976939, 0.99975264, 0.99973530, 0.99971735,
            0.99969882, 0.99967968, 0.99966002, 0.99963969, 0.99961883, 0.99959737, 0.99957532, 0.99955267,
            0.99952942, 0.99950558, 0.99948120, 0.99945617, 0.99943060, 0.99940443, 0.99937767, 0.99935031,
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            0.91667908, 0.91698527, 0.91729099, 0.91759616, 0.91790080, 0.91820484, 0.91850841, 0.91881138,
            0.91911387, 0.91941577, 0.91971713, 0.92001796, 0.92031831, 0.92061806, 0.92091721, 0.92121589,
            0.92151403, 0.92181164, 0.92210865, 0.92240518, 0.92270112, 0.92299652, 0.92329144, 0.92358577,
            0.92387950, 0.92417276, 0.92446548, 0.92475760, 0.92504925, 0.92534029, 0.92563081, 0.92592078,
            0.92621022, 0.92649913, 0.92678750, 0.92707527, 0.92736250, 0.92764926, 0.92793542, 0.92822099,
            0.92850608, 0.92879063, 0.92907459, 0.92935801, 0.92964089, 0.92992324, 0.93020505, 0.93048626,
            0.93076694, 0.93104708, 0.93132669, 0.93160576, 0.93188429, 0.93216223, 0.93243963, 0.93271649,
            0.93299282, 0.93326855, 0.93354380, 0.93381846, 0.93409252, 0.93436611, 0.93463916, 0.93491161,
            0.93518353, 0.93545485, 0.93572569, 0.93599594, 0.93626565, 0.93653482, 0.93680346, 0.93707150,
            0.93733901, 0.93760598, 0.93787235, 0.93813825, 0.93840355, 0.93866831, 0.93893248, 0.93919611,
            0.93945920, 0.93972176, 0.93998373, 0.94024521, 0.94050604, 0.94076639, 0.94102615, 0.94128537,
            0.94154406, 0.94180220, 0.94205976, 0.94231677, 0.94257319, 0.94282907, 0.94308442, 0.94333923,
            0.94359344, 0.94384712, 0.94410026, 0.94435281, 0.94460481, 0.94485629, 0.94510722, 0.94535756,
            0.94560730, 0.94585657, 0.94610524, 0.94635338, 0.94660091, 0.94684792, 0.94709438, 0.94734025,
            0.94758558, 0.94783038, 0.94807458, 0.94831824, 0.94856137, 0.94880390, 0.94904590, 0.94928730,
            0.94952816, 0.94976848, 0.95000827, 0.95024747, 0.95048606, 0.95072412, 0.95096165, 0.95119864,
            0.95143503, 0.95167089, 0.95190614, 0.95214087, 0.95237499, 0.95260859, 0.95284164, 0.95307410,
            0.95330602, 0.95353740, 0.95376819, 0.95399845, 0.95422810, 0.95445722, 0.95468575, 0.95491374,
            0.95514119, 0.95536804, 0.95559436, 0.95582008, 0.95604527, 0.95626986, 0.95649391, 0.95671743,
            0.95694035, 0.95716268, 0.95738453, 0.95760572, 0.95782644, 0.95804650, 0.95826608, 0.95848507,
            0.95870346, 0.95892131, 0.95913863, 0.95935535, 0.95957154, 0.95978713, 0.96000212, 0.96021664,
            0.96043050, 0.96064389, 0.96085662, 0.96106887, 0.96128047, 0.96149158, 0.96170205, 0.96191204,
            0.96212143, 0.96233022, 0.96253848, 0.96274614, 0.96295327, 0.96315980, 0.96336579, 0.96357119,
            0.96377605, 0.96398038, 0.96418405, 0.96438724, 0.96458977, 0.96479183, 0.96499324, 0.96519411,
            0.96539444, 0.96559417, 0.96579337, 0.96599197, 0.96618998, 0.96638745, 0.96658438, 0.96678072,
            0.96697646, 0.96717167, 0.96736628, 0.96756035, 0.96775383, 0.96794677, 0.96813911, 0.96833086,
            0.96852207, 0.96871275, 0.96890283, 0.96909231, 0.96928126, 0.96946961, 0.96965736, 0.96984458,
            0.97003126, 0.97021735, 0.97040284, 0.97058779, 0.97077215, 0.97095591, 0.97113913, 0.97132182,
            0.97150391, 0.97168541, 0.97186631, 0.97204673, 0.97222650, 0.97240573, 0.97258437, 0.97276247,
            0.97293997, 0.97311687, 0.97329324, 0.97346902, 0.97364426, 0.97381890, 0.97399294, 0.97416645,
            0.97433937, 0.97451174, 0.97468352, 0.97485471, 0.97502536, 0.97519541, 0.97536486, 0.97553378,
            0.97570211, 0.97586989, 0.97603709, 0.97620368, 0.97636974, 0.97653520, 0.97670007, 0.97686440,
            0.97702813, 0.97719133, 0.97735387, 0.97751594, 0.97767735, 0.97783822, 0.97799850, 0.97815824,
            0.97831738, 0.97847593, 0.97863394, 0.97879136, 0.97894818, 0.97910446, 0.97926015, 0.97941524,
            0.97956979, 0.97972375, 0.97987711, 0.98002988, 0.98018211, 0.98033381, 0.98048484, 0.98063534,
            0.98078525, 0.98093462, 0.98108339, 0.98123157, 0.98137921, 0.98152626, 0.98167270, 0.98181856,
            0.98196387, 0.98210859, 0.98225272, 0.98239630, 0.98253930, 0.98268169, 0.98282355, 0.98296481,
            0.98310548, 0.98324561, 0.98338509, 0.98352402, 0.98366243, 0.98380023, 0.98393744, 0.98407406,
            0.98421007, 0.98434556, 0.98448044, 0.98461479, 0.98474848, 0.98488164, 0.98501426, 0.98514622,
            0.98527765, 0.98540848, 0.98553872, 0.98566842, 0.98579752, 0.98592603, 0.98605394, 0.98618132,
            0.98630810, 0.98643428, 0.98655993, 0.98668492, 0.98680937, 0.98693329, 0.98705655, 0.98717928,
            0.98730141, 0.98742294, 0.98754394, 0.98766434, 0.98778415, 0.98790336, 0.98802203, 0.98814011,
            0.98825759, 0.98837447, 0.98849082, 0.98860651, 0.98872167, 0.98883629, 0.98895025, 0.98906368,
            0.98917651, 0.98928875, 0.98940045, 0.98951149, 0.98962200, 0.98973197, 0.98984128, 0.98995006,
            0.99005818, 0.99016583, 0.99027282, 0.99037921, 0.99048507, 0.99059033, 0.99069500, 0.99079913,
            0.99090266, 0.99100554, 0.99110794, 0.99120969, 0.99131083, 0.99141145, 0.99151146, 0.99161088,
            0.99170977, 0.99180800, 0.99190569, 0.99200279, 0.99209929, 0.99219525, 0.99229062, 0.99238533,
            0.99247956, 0.99257314, 0.99266613, 0.99275857, 0.99285042, 0.99294168, 0.99303234, 0.99312246,
            0.99321193, 0.99330086, 0.99338919, 0.99347699, 0.99356413, 0.99365073, 0.99373674, 0.99382216,
            0.99390697, 0.99399120, 0.99407488, 0.99415797, 0.99424046, 0.99432236, 0.99440366, 0.99448442,
            0.99456459, 0.99464417, 0.99472314, 0.99480152, 0.99487931, 0.99495655, 0.99503320, 0.99510926,
            0.99518472, 0.99525958, 0.99533391, 0.99540764, 0.99548078, 0.99555331, 0.99562526, 0.99569660,
            0.99576741, 0.99583763, 0.99590725, 0.99597627, 0.99604470, 0.99611259, 0.99617982, 0.99624652,
            0.99631262, 0.99637812, 0.99644303, 0.99650741, 0.99657112, 0.99663430, 0.99669689, 0.99675888,
            0.99682027, 0.99688113, 0.99694133, 0.99700099, 0.99706006, 0.99711853, 0.99717641, 0.99723375,
            0.99729043, 0.99734658, 0.99740213, 0.99745709, 0.99751145, 0.99756521, 0.99761844, 0.99767107,
            0.99772304, 0.99777448, 0.99782532, 0.99787563, 0.99792528, 0.99797440, 0.99802285, 0.99807078,
            0.99811810, 0.99816483, 0.99821103, 0.99825656, 0.99830157, 0.99834591, 0.99838972, 0.99843293,
            0.99847555, 0.99851763, 0.99855906, 0.99859995, 0.99864024, 0.99867994, 0.99871904, 0.99875754,
            0.99879545, 0.99883282, 0.99886954, 0.99890572, 0.99894130, 0.99897629, 0.99901068, 0.99904448,
            0.99907774, 0.99911034, 0.99914241, 0.99917388, 0.99920475, 0.99923503, 0.99926478, 0.99929386,
            0.99932235, 0.99935031, 0.99937767, 0.99940443, 0.99943060, 0.99945617, 0.99948120, 0.99950558,
            0.99952942, 0.99955267, 0.99957532, 0.99959737, 0.99961883, 0.99963969, 0.99966002, 0.99967968,
            0.99969882, 0.99971735, 0.99973530, 0.99975264, 0.99976939, 0.99978560, 0.99980116, 0.99981618,
            0.99983060, 0.99984443, 0.99985766, 0.99987030, 0.99988234, 0.99989384, 0.99990469, 0.99991500,
            0.99992472, 0.99993384, 0.99994236, 0.99995029, 0.99995762, 0.99996442, 0.99997061, 0.99997616,
            0.99998116, 0.99998558, 0.99998939, 0.99999267, 0.99999529, 0.99999738, 0.99999881, 0.99999970
           };
            
static const float sinTable[FFT_TABLE_SIZE]={
            0.00000000, 0.00076699, 0.00153398, 0.00230097, 0.00306796, 0.00383494, 0.00460193, 0.00536891,
            0.00613588, 0.00690286, 0.00766983, 0.00843679, 0.00920375, 0.00997071, 0.01073766, 0.01150460,
            0.01227154, 0.01303847, 0.01380539, 0.01457230, 0.01533921, 0.01610610, 0.01687299, 0.01763986,
            0.01840673, 0.01917358, 0.01994043, 0.02070726, 0.02147408, 0.02224089, 0.02300768, 0.02377446,
            0.02454123, 0.02530798, 0.02607472, 0.02684144, 0.02760815, 0.02837484, 0.02914151, 0.02990817,
            0.03067480, 0.03144142, 0.03220803, 0.03297461, 0.03374117, 0.03450771, 0.03527424, 0.03604074,
            0.03680722, 0.03757368, 0.03834012, 0.03910654, 0.03987293, 0.04063930, 0.04140564, 0.04217196,
            0.04293826, 0.04370453, 0.04447077, 0.04523699, 0.04600318, 0.04676935, 0.04753548, 0.04830159,
            0.04906768, 0.04983373, 0.05059975, 0.05136574, 0.05213170, 0.05289764, 0.05366354, 0.05442941,
            0.05519525, 0.05596105, 0.05672682, 0.05749256, 0.05825827, 0.05902394, 0.05978957, 0.06055517,
            0.06132074, 0.06208627, 0.06285176, 0.06361721, 0.06438263, 0.06514801, 0.06591335, 0.06667866,
            0.06744392, 0.06820914, 0.06897433, 0.06973947, 0.07050458, 0.07126963, 0.07203465, 0.07279963,
            0.07356457, 0.07432945, 0.07509430, 0.07585911, 0.07662386, 0.07738858, 0.07815325, 0.07891786,
            0.07968244, 0.08044697, 0.08121145, 0.08197588, 0.08274026, 0.08350460, 0.08426889, 0.08503313,
            0.08579731, 0.08656145, 0.08732554, 0.08808957, 0.08885355, 0.08961748, 0.09038136, 0.09114519,
            0.09190895, 0.09267268, 0.09343634, 0.09419994, 0.09496350, 0.09572699, 0.09649043, 0.09725381,
            0.09801714, 0.09878041, 0.09954362, 0.10030677, 0.10106986, 0.10183290, 0.10259587, 0.10335878,
            0.10412163, 0.10488442, 0.10564715, 0.10640982, 0.10717242, 0.10793497, 0.10869744, 0.10945985,
            0.11022221, 0.11098449, 0.11174671, 0.11250886, 0.11327095, 0.11403298, 0.11479492, 0.11555681,
            0.11631863, 0.11708038, 0.11784206, 0.11860368, 0.11936522, 0.12012669, 0.12088808, 0.12164941,
            0.12241068, 0.12317186, 0.12393297, 0.12469402, 0.12545498, 0.12621588, 0.12697670, 0.12773745,
            0.12849811, 0.12925871, 0.13001922, 0.13077967, 0.13154003, 0.13230032, 0.13306053, 0.13382065,
            0.13458070, 0.13534068, 0.13610058, 0.13686039, 0.13762012, 0.13837977, 0.13913934, 0.13989884,
            0.14065824, 0.14141756, 0.14217681, 0.14293596, 0.14369503, 0.14445402, 0.14521292, 0.14597175,
            0.14673047, 0.14748912, 0.14824767, 0.14900614, 0.14976454, 0.15052283, 0.15128104, 0.15203916,
            0.15279719, 0.15355512, 0.15431297, 0.15507074, 0.15582840, 0.15658598, 0.15734346, 0.15810084,
            0.15885815, 0.15961535, 0.16037245, 0.16112947, 0.16188639, 0.16264322, 0.16339995, 0.16415659,
            0.16491312, 0.16566956, 0.16642590, 0.16718215, 0.16793829, 0.16869435, 0.16945030, 0.17020614,
            0.17096189, 0.17171754, 0.17247309, 0.17322853, 0.17398387, 0.17473911, 0.17549425, 0.17624930,
            0.17700422, 0.17775905, 0.17851377, 0.17926839, 0.18002290, 0.18077731, 0.18153161, 0.18228580,
            0.18303989, 0.18379387, 0.18454774, 0.18530150, 0.18605515, 0.18680869, 0.18756212, 0.18831545,
            0.18906866, 0.18982176, 0.19057475, 0.19132763, 0.19208039, 0.19283305, 0.19358559, 0.19433801,
            0.19509032, 0.19584252, 0.19659460, 0.19734657, 0.19809841, 0.19885014, 0.19960175, 0.20035325,
            0.20110464, 0.20185590, 0.20260704, 0.20335807, 0.20410897, 0.20485975, 0.20561041, 0.20636095,
            0.20711137, 0.20786168, 0.20861185, 0.20936191, 0.21011184, 0.21086164, 0.21161133, 0.21236089,
            0.21311031, 0.21385963, 0.21460882, 0.21535787, 0.21610680, 0.21685560, 0.21760428, 0.21835282,
            0.21910124, 0.21984953, 0.22059768, 0.22134572, 0.22209363, 0.22284140, 0.22358903, 0.22433653,
            0.22508392, 0.22583115, 0.22657827, 0.22732525, 0.22807208, 0.22881879, 0.22956537, 0.23031181,
            0.23105811, 0.23180428, 0.23255031, 0.23329620, 0.23404196, 0.23478758, 0.23553306, 0.23627840,
            0.23702361, 0.23776866, 0.23851359, 0.23925838, 0.24000302, 0.24074753, 0.24149188, 0.24223611,
            0.24298018, 0.24372411, 0.24446790, 0.24521154, 0.24595505, 0.24669841, 0.24744162, 0.24818468,
            0.24892761, 0.24967039, 0.25041300, 0.25115550, 0.25189781, 0.25264001, 0.25338203, 0.25412393,
            0.25486565, 0.25560725, 0.25634867, 0.25708997, 0.25783110, 0.25857207, 0.25931293, 0.26005360,
            0.26079410, 0.26153448, 0.26227471, 0.26301476, 0.26375467, 0.26449442, 0.26523402, 0.26597348,
            0.26671275, 0.26745188, 0.26819086, 0.26892966, 0.26966831, 0.27040681, 0.27114516, 0.27188334,
            0.27262136, 0.27335921, 0.27409691, 0.27483445, 0.27557182, 0.27630904, 0.27704608, 0.27778298,
            0.27851969, 0.27925625, 0.27999264, 0.28072888, 0.28146493, 0.28220084, 0.28293657, 0.28367212,
            0.28440753, 0.28514278, 0.28587782, 0.28661272, 0.28734747, 0.28808203, 0.28881642, 0.28955063,
            0.29028466, 0.29101855, 0.29175225, 0.29248580, 0.29321915, 0.29395235, 0.29468536, 0.29541820,
            0.29615089, 0.29688337, 0.29761571, 0.29834786, 0.29907984, 0.29981163, 0.30054325, 0.30127469,
            0.30200595, 0.30273703, 0.30346796, 0.30419868, 0.30492923, 0.30565959, 0.30638981, 0.30711982,
            0.30784965, 0.30857930, 0.30930877, 0.31003806, 0.31076714, 0.31149608, 0.31222481, 0.31295338,
            0.31368175, 0.31440994, 0.31513792, 0.31586576, 0.31659338, 0.31732082, 0.31804809, 0.31877515,
            0.31950203, 0.32022873, 0.32095525, 0.32168156, 0.32240769, 0.32313362, 0.32385936, 0.32458493,
            0.32531029, 0.32603547, 0.32676044, 0.32748523, 0.32820985, 0.32893425, 0.32965845, 0.33038250,
            0.33110631, 0.33182994, 0.33255336, 0.33327660, 0.33399966, 0.33472249, 0.33544514, 0.33616760,
            0.33688986, 0.33761191, 0.33833376, 0.33905542, 0.33977687, 0.34049815, 0.34121922, 0.34194008,
            0.34266073, 0.34338117, 0.34410143, 0.34482148, 0.34554133, 0.34626096, 0.34698042, 0.34769964,
            0.34841868, 0.34913751, 0.34985614, 0.35057455, 0.35129276, 0.35201076, 0.35272855, 0.35344616,
            0.35416353, 0.35488069, 0.35559767, 0.35631442, 0.35703096, 0.35774729, 0.35846341, 0.35917935,
            0.35989505, 0.36061051, 0.36132580, 0.36204088, 0.36275572, 0.36347038, 0.36418480, 0.36489901,
            0.36561298, 0.36632678, 0.36704034, 0.36775368, 0.36846682, 0.36917976, 0.36989245, 0.37060493,
            0.37131721, 0.37202924, 0.37274107, 0.37345266, 0.37416407, 0.37487522, 0.37558618, 0.37629691,
            0.37700742, 0.37771770, 0.37842774, 0.37913761, 0.37984720, 0.38055661, 0.38126576, 0.38197473,
            0.38268343, 0.38339192, 0.38410020, 0.38480824, 0.38551605, 0.38622364, 0.38693100, 0.38763815,
            0.38834503, 0.38905174, 0.38975817, 0.39046440, 0.39117038, 0.39187613, 0.39258167, 0.39328697,
            0.39399204, 0.39469686, 0.39540148, 0.39610586, 0.39681000, 0.39751390, 0.39821756, 0.39892101,
            0.39962420, 0.40032718, 0.40102988, 0.40173239, 0.40243465, 0.40313667, 0.40383846, 0.40454000,
            0.40524131, 0.40594238, 0.40664321, 0.40734380, 0.40804416, 0.40874428, 0.40944415, 0.41014379,
            0.41084316, 0.41154233, 0.41224122, 0.41293988, 0.41363832, 0.41433650, 0.41503441, 0.41573212,
            0.41642955, 0.41712677, 0.41782370, 0.41852042, 0.41921690, 0.41991311, 0.42060909, 0.42130479,
            0.42200026, 0.42269549, 0.42339048, 0.42408520, 0.42477968, 0.42547390, 0.42616788, 0.42686161,
            0.42755508, 0.42824832, 0.42894128, 0.42963400, 0.43032649, 0.43101871, 0.43171066, 0.43240237,
            0.43309382, 0.43378502, 0.43447596, 0.43516666, 0.43585709, 0.43654725, 0.43723717, 0.43792683,
            0.43861625, 0.43930539, 0.43999428, 0.44068289, 0.44137126, 0.44205937, 0.44274724, 0.44343480,
            0.44412214, 0.44480920, 0.44549602, 0.44618255, 0.44686884, 0.44755486, 0.44824061, 0.44892609,
            0.44961134, 0.45029628, 0.45098099, 0.45166543, 0.45234957, 0.45303348, 0.45371711, 0.45440048,
            0.45508358, 0.45576641, 0.45644897, 0.45713127, 0.45781329, 0.45849505, 0.45917654, 0.45985776,
            0.46053872, 0.46121940, 0.46189979, 0.46257994, 0.46325979, 0.46393937, 0.46461868, 0.46529773,
            0.46597651, 0.46665499, 0.46733320, 0.46801114, 0.46868882, 0.46936622, 0.47004333, 0.47072017,
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#endif