fft_test.cpp

#include "fft.h"
#include <time.h>
#include <stdio.h>

void main()
{
	//Use visual studio in debug mode to capture outputs. They can be compared to results from matlab, octave, etc. 

	floating a[] = { 1, 2, 3, 4, 5, 6, 7, 8 }, Ar[8], Ai[8];
	floating b[] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 8, 7, 6, 5 }, Br[17], Bi[17], bbr[17], bbi[17], bbm[17];
	floating c[] = { 0.443421912904091, 0.391894209432449, -1.25067890682641, -0.947960922331432, -0.741106093940412, -0.507817550278174, -0.320575506600239, 0.0124690413616180, -3.02917734140415, -0.457014640871583, 1.24244840639074, -1.06670139898475, 0.933728162671239, 0.350321001356112, -0.0290057637087263, 0.182452167505983, -1.56505601415073, -0.0845394798177242, 1.60394635060288, 0.0983477746401080, 0.0413736134896147, -0.734169112696739, -0.0308137300123200, 0.232347012624477, 0.426387557408945, -0.372808741723504, -0.236454583757186, 2.02369088660305, -2.25835397049619, 2.22944568045690, 0.337563700613106, 1.00006081958912, -1.66416447498706, -0.590034564205222, -0.278064163765309, 0.422715691220478, -1.67020069785047, 0.471634326416303, -1.21284719967446, 0.0661900484246114, 0.652355888661374, 0.327059967177088, 1.08263350423676, 1.00607711081905, -0.650907736597753, 0.257056157433969, -0.944377806404219, -1.32178852139256, 0.924825933493706, 4.98490752508133e-05, -0.0549189146094067, 0.911127265653860, 0.594583697409052, 0.350201173874535, 1.25025122830500, 0.929789458557716, 0.239763257058580, -0.690361103111226, -0.651553641750281, 1.19210187053127, -1.61183038867781, -0.0244619366359185, -1.94884717689890, 1.02049801445265, 0.861716302393419, 0.00116208348351385, -0.0708372131604802, -2.48628392070328, 0.581172322675923, -2.19243491996591, -2.31928030664330, 0.0799337102984397, -0.948480983570505, 0.411490621423374, 0.676977805684030, 0.857732545205355, -0.691159125382991, 0.449377623166851, 0.100633350315076, 0.826069998469923, 0.536157079925919, 0.897888425985076, -0.131937867924581, -0.147201456151267, 1.00777340530544, -2.12365546241575, -0.504586405514010, -1.27059444980866, -0.382584802707648, 0.648679262048621, 0.825727149241758, -1.01494364268014, -0.471069912683167, 0.137024874130050, -0.291863375753573, 0.301818555261006, 0.399930942955802, -0.929961558940129, -0.176830265929232, -2.13209459916153, 1.14536171051847, -0.629090760994156, -1.20384997400222, -0.253944683422812, -1.42864686463210, -0.0208576177016003, -0.560664996528185, 2.17777870918415, 1.13846538732960, -2.49688650318450, 0.441326931727609, -1.39813787581107, -0.255055179880806, 0.164404073318729, 0.747734028808123, -0.273046949402907, 1.57630014654608, -0.480937151778845, 0.327512120829686, 0.664734120627595, 0.0851885927211602, 0.880952785381048, 0.323213137847598, -0.784146183664088, -1.80537335138609, 1.85859294855571, -0.604530088774459, 0.103359722310648, 0.563166955145978, 0.113596996734002, -0.904726212798032 };
	floating Cr[131], Ci[131], ccr[131], cci[131], ccm[131];


	fft_instance fft1, fft2, fft3;
	
	set_fft_instance(&fft1, 8);
	fft_real(&fft1, a, 0, 8);

	for (int i = 0; i < 8; i++) {
		Ar[i] = fft1.Re[i];
		Ai[i] = fft1.Im[i];
	}

	// fft(a) = A = [36, -4 + j9.65685425, -4 + j4, -4 + j1.65685425, -4 , -4 - j1.65685425, -4 - j4, -4 - j9.65685425]

	delete_fft_instance(&fft1);

	///////////////////////////

	set_fft_instance(&fft2, 17);

	// note clk = 5 means fft of { 6, 7, 8, 9, 1, 2, 3, 4, 8, 7, 6, 5, 1, 2, 3, 4, 5 } will be calculated, which is b[] rotated by 5
	fft_real(&fft2, b, 5, 17);

	for (int i = 0; i < 17; i++) {
		Br[i] = fft2.Re[i];
		Bi[i] = fft2.Im[i];
	}

	ifft_complex(bbr, bbi, &fft2, 5, 17);

	ifft_real(bbm, &fft2, 5, 17);

	delete_fft_instance(&fft2);

	///////////////////////////

	set_fft_instance(&fft3, 131);

	clock_t start_time, elapsed_time;
	double elapsed;
	start_time = clock();

	fft_real(&fft3, c, 0, 131);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 1D real FFT, N = 131: %f seconds\n\n", elapsed);

	for (int i = 0; i < 131; i++) {
		Cr[i] = fft3.Re[i];
		Ci[i] = fft3.Im[i];
	}

	start_time = clock();

	ifft_complex(ccr, cci, &fft3, 0, 131);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 1D complex iFFT, N = 131: %f seconds\n\n", elapsed);

	start_time = clock();

	ifft_real(ccm, &fft3, 0, 131);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 1D real iFFT, N = 131: %f seconds\n\n", elapsed);

	delete_fft_instance(&fft3);

	///////////////////////////

	floating d[] = { 0.110927329761440, 0.0100092833139322, -0.0133217479507735, -0.0162337672803828, -0.166416447498706, -0.212365546241575, -0.105697274596013, -0.0493009815316451, 0.0120205281956355, 0.222716807816787, 0.0317407733234497, -0.136151495486457, -0.0409327721634070, -0.0325347780360491, 0.0717442315507358, -0.102058339313102, 0.0392575281297536, -0.0250552842446154, -0.0671802427219058, 0.0428893027102996, -0.0149331353183561, -0.0687829135427859, 0.0949274703601312, -0.0790258478597882, -0.0879766716388638, 0.0547519687229463, 0.0545810168063468, -0.0574834950835001, -0.0368728264159064, 0.150812707914556, 0.0794707809437465, 0.274846655587521, 0.0450813584524417, -0.135155634252200, -0.0561367189192347, 0.0510807809841620, -0.0855564295636042, 0.0288342465455934, 0.00828305622755246, 0.0671841600663500, -0.0559175859035221, 0.0655324411572857, -0.0803611484220362, -0.0527877900600111, 0.0535922465110155, 0.000650927822731750, -0.0200188986216284, 0.0486282563419722, 0.0410137543311993, -0.0250891794692590, -0.172101584342577, 0.0237586182673761, -0.177291365049391,
		-0.0863652821988715, -0.0544528929990548, -0.0714530163787158, -0.0146054634331526, -0.0590034564205222, -0.0504586405514010, -0.0284140954626164, -0.0180739356415038, 0.0571247629714476, -0.00692142540220484, 0.0413610390293130, 0.0347592631960065, -0.0160886766738443, 0.194439779196628, -0.0777905520185398, -0.307298853928707, 0.130183950434961, -0.0189901654648676, 0.0575629016583151, -0.0299130520022908, -0.163644667825389, 0.0331880876981422, 0.0717441409444788, 0.0803380232506624, -0.0320804325089082, 0.0147835043548960, 0.200992749452170, -0.0740706727609254, -0.0838170422573186, -0.0888908957861214, 0.104368893647872, -0.151297699352819, -0.156502465785673, 0.0364211322734809, -0.155589648185878, -0.0656273624380464, 0.000755762356315009, 0.139185483504681, -0.154847786497645, 0.00228442900561173, -0.0808845156537362, -0.0537467359670747, 0.0287609432704476, -0.0345787066904499, 0.0692864715436637, -0.0235892197136722, 0.0940411654286259, 0.0330885119922978, -0.0789932749060492, -0.0925455901509031, 0.0183431871122003, -0.0671548725554819, -0.00724916421726656,
		0.00773590911304249, 0.0303520794649354, 0.135138576842666, -0.0532011376808821, -0.0278064163765309, -0.127059444980866, -0.00866902824593051, 0.00458411057137050, 0.0412796010311392, -0.0507323064614498, -0.0577085583637940, -0.0181843218459334, 0.0409334430455455, -0.0571773218349456, 0.0315985880708604, 0.0626278997699139, -0.0593641761840396, -0.103291351430084, -0.0778093515420814, -0.0899868519999532, 0.00173443460436582, 0.236522474259891, 0.228782860567075, -0.131990270235869, -0.0784415293755632, -0.0362267155363552, 0.141667066085807, -0.118500187448859, -0.0282475041408237, -0.0959284630503597, 0.0802184648027535, 0.0433979032773600, -0.00787959236624287, -0.0452207604978530, 0.110020845629523, -0.0125016775948650, -0.0937585768802114, -0.134550201016110, 0.186315963313024, -0.117778858625395, 0.116100428559655, 0.0328643403253210, 0.0467018093753898, 0.0564557773734366, -0.0687549755080742, 0.0652821094952842, 0.0349156337155410, 0.126790208092984, 0.0161637129369329, 0.00986603295229050, -0.0259732296709229, -0.104500001838768, -0.172111484736827,
		-0.121411704361541, -0.0600326562133734, -0.0224771056052584, 0.168210359466318, 0.0422715691220478, -0.0382584802707648, -0.146939507448636, -0.00637831200223327, -0.0986961883351522, 0.0235809672576244, 0.0144001801404465, -0.0939534765941492, -0.0952635997119978, -0.0250032278035044, 0.140653513807679, -0.0286684533211225, 0.0436375391562132, -0.0323291921419398, -0.106356120288467, 0.0634745461257071, 0.0828387265991093, -0.0482230718469758, 0.0166727663349700, -0.0273845759626558, -0.0364962527939069, 0.00611412950206014, 0.00114806655545399, -0.206486003648070, 0.356986777687433, -0.0492719304254721, -0.0468824364835627, -0.0229767733464022, -0.0941791969061035, 0.0783365969886060, 0.0175058301901179, -0.0530466700307261, -0.0681559682509183, 7.47406191734232e-05, 0.0134026621818908, -0.0334578164099747, 0.0592105269146540, 0.105407197142897, 0.000456160956191707, -0.0801539144002075, 0.0317575756440424, 0.196453251156114, 0.185928030068645, 0.109051420554461, 0.197790399736349, 0.168427984005199, -0.135478894647888, 0.0965766641866459, 0.0701881229425709,
		-0.111350074148676, 0.0489965321173948, -0.0589029030720801, -0.0875729346160017, -0.167020069785047, 0.0648679262048621, 0.0192182244870786, 0.0611335194065236, 0.0759568325914783, 0.0245804851893843, -0.163866572993389, -0.00375331888191716, 0.0317317472324612, -0.156931547034070, 0.0401124635731864, -0.0197342906850919, -0.0504362480525810, 0.0766526854105447, 0.0552978301286998, 0.00674535908285647, 0.0217738348381478, 0.0647448206700766, -0.215649075169974, 0.0271866921602583, 0.0117270572393548, 0.0216705550520381, -0.0939049321080533, 0.0565059812252813, 0.340753236638644, 0.0441056579174584, -0.00465923743265948, -0.0827086376299091, -0.0652861505816215, 0.123723664787976, 0.100361131033307, 0.0105586399266945, -0.0260139430391064, 0.00534948075737676, -0.154600257382621, -0.182945520860790, 0.0242747664484533, -0.197969931915418, 0.0326090358603265, -0.185294678516823, 0.0162842340124270, 0.0884584173475767, 0.0927071973161696, -0.0946450610335802, 0.0795266427309762, 0.0275259399746143, -0.115744200050999, -0.0219756520591697, -0.100546799475347,
		-0.000684932810334807, 0.0739363123604474, -0.0293753597735416, -0.0483815050110121, 0.0471634326416303, 0.0825727149241758, -0.0822293276290175, 0.0109317693774870, -0.0657201299098350, 0.00700452094168079, -0.0760089998635267, -0.189630449362245, 0.00780200809780775, -0.0477382663694067, 0.0929660284419656, 0.0405605372640549, 0.0102107713303418, 0.174467317966905, -0.0423428837836487, -0.0187120544841388, -0.190924490126273, -0.103442471723417, 0.168939930742667, 0.148955350778608, 0.0174339688771479, -0.139812241311775, -0.173890838801446, 0.200014236659301, 0.114691785982515, -0.0204764248303628, 0.0353453034782426, -0.0831982615393436, 0.0282529239916988, 0.107719818143346, 0.151100817427897, 0.112835040662740, -0.0228795364308812, -0.234190519391168, 0.0433282396191631, 0.0429989596952203, 0.0240477484679373, -0.186738818458719, 0.120458671653349, 0.00532160174531869, 0.115911590583064, 0.00845369570761526, -0.122696384381571, -0.0438499143610695, 0.103736673316936, 0.0353289379397021, -0.0761986359784834, 0.141453585769559, -0.110642682179053,
		0.153263030828475, 0.171188778298156, -0.0847926243637934, -0.0712004549027423, -0.121284719967446, -0.101494364268014, -0.00942405879597235, 0.181401545028038, -0.0603918481376169, -0.0608580510079949, -0.0818793096250257, -0.212797676818267, 0.132438544916022, -0.133797665356226, -0.160580220462075, -0.141934846053479, 0.119625054082237, -0.116051992616979, 0.0361587164848056, 0.0291727455002394, -0.0536821821287498, 0.133955459790412, 0.128228074709257, 0.143714152478982, -0.0215656413043175, 0.0178870372986261, 0.00169709715690619, 0.222332772023387, 0.0787257533014092, -0.0977806928725783, -0.125680056318429, 0.0497899500583305, -0.112507904298537, -0.00348411236037387, -0.113723903031577, 0.0742478041095634, -0.0524812993989912, 0.124809514455416, 0.0102954219987465, -0.0173993462313665, -0.0821500398847020, -0.183235567102535, -0.140411583207086, -0.0436415217054889, 0.0128388058663602, -0.0574514061258489, -0.0327239140494225, 0.0343220672265526, 0.236032996494344, -0.120037556314328, -0.0250299587174405, -0.0924186655926895, 0.179055990344190,
		-0.0769665913753682, -0.0194123535758265, -0.112012830124373, -0.117421233145682, 0.00661900484246114, -0.0471069912683167, 0.0336213340954240, 0.0312023828329274, 0.0176946822329411, -0.122259338018663, 0.0519728888133619, -0.117692333071496, -0.0213170486421586, 0.00302990237881831, 0.0661536244123409, -0.0729445237982782, 0.0120282816361650, 0.237741185238417, -0.0351889241946106, 0.0987694691911684, -0.0302032298446366, -0.0969140355828830, -0.0582630964347252, -0.00275613965604981, -0.0152611479624619, 0.0927584218205604, 0.0219159093583546, -0.0492177585883521, -0.127813736919090, -0.157294658745839, -0.103603143787954, 0.231562610334450, -0.0988974087143185, -0.0503987333962698, 0.0643018393161373, 0.114360315451890, 0.112831851475534, 0.280923185356508, -0.0570346099876642, 0.163124241928948, 0.0993112126213196, 0.0848592115140136, 0.0205563555454331, 0.0280007472266163, 0.103945813330173, 0.0499750630743405, 0.0891646400708002, -0.00584033819465111, 0.117539509969254, 0.0166128675891874, -0.164876308536088, -0.0594140819907417, 0.216238415597624,
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		-0.0438966153934773, -0.00200278516425381, 0.0135174942099456, -0.225835397049619, 0.0897888425985076, -0.0860815690006961, -0.0292588130834394, 0.0300485967595730, 0.0901931466951715, -0.123711968466263, 0.0582423277447969, -0.0563968917027427, -0.108695922946133, -0.0773064102152237, 0.138449851135426, 0.0409182082547355, -0.115600108495170, -0.114650763211670, 0.0485540987057964, 0.0205304683292191, 0.0395316122368463, -0.145904186908361, 0.0564295551934993, 0.0433060388963241, -0.0180163097123277, -0.0363569288189157, -0.0391794659025427, 0.0136741163276281, -0.116835069664322, -0.195393370060853, 0.0417806430208596, -0.0114877251919321, -0.0163880256756727, 0.0762849125807182, 0.145274196098984, -0.208577008776204, 0.0120331570316844, 0.0257774911374408, 0.130368137352944, -0.162796673299559, 0.0218084852524728, -0.0843835890826002, 0.267358177719941, 0.0627122095263152, -0.0895274229368372, -0.0921238282183121, -0.146890810350677, -0.0272798073223806, -0.0259286949595923, -0.169506465741547, -0.0208373459441044, 0.0256435883259182, -0.0620098634098892,
		-0.179467884145512, -0.00347710860284830, 0.0515246335524849, 0.222944568045690, -0.0131937867924581, 0.0784668467287822, -0.0540786416488526, -0.0373070658631004, -0.183563868373519, -0.219349427883461, -0.100650007461934, 0.0555138560001846, -0.142643615947972, 0.0836633754476153, -0.00627267940412559, -0.114242816812144, 0.00397401269892484, 0.0673698696541778, 0.102601648619598, 0.119293039852572, -0.0870562842057010, -0.0581709725467177, 0.158262066304722, -0.00921207484997504, -0.0207789586107980, 0.0149556482460561, -0.148468622298009, -0.0883348858615110, 0.120196562169025, 0.0565420571160198, 0.0819879645963700, 0.00686024694830988, -0.00672404702443348, -0.118212703394540, 0.137984575214444, 0.0235963883578039, 0.113633128468824, 0.196244739500167, -0.0125812180556037, 0.161730243170781, -0.156656707369580, 0.194343804984731, -0.000756607544454132, -0.133129484326068, 0.0313325927526105, -0.0926951533232401, 0.0176938356086965, -0.0101454350734858, -0.121354483357206, 0.0919386059036260, 0.00247391992409442, 0.0220025452735325, 0.0224104267123064,
		0.0840375529753906, -0.0798163584564142, 0.0261406324055383, 0.0337563700613106, -0.0147201456151267, 0.0308623139948530, -0.0308641815280113, 0.0815488508092498, 0.00667569114368658, -0.0333407067263734, 0.00645167423111044, -0.0556778063950366, -0.101445076770532, -0.112833031008360, 0.0448921120019170, -0.0624863775636729, -0.0450598603707587, -0.0669112995372736, 0.0870726021083679, -0.0802823098305938, -0.0497688378204225, -0.183014932210345, 0.272923012321038, -0.0244054937965400, 0.0896745287933842, -0.194451810616239, -0.0344627168171879, 0.00825379227242560, -0.0660738591146436, 0.00777944624002781, -0.0854353379120009, 0.0751494856970101, -0.100159245598463, 0.0583847690104213, 0.00951364189696943, -0.0778421350000272, -0.0686773118719217, 0.140631490892524, -0.0596873784956023, 0.0264136741915250, 0.0783281930836874, -0.0246921540574881, 0.0710302936661393, -0.0130848151759666, 0.0667033161268874, -0.0961220672752141, 0.346625991439170, -0.142910594792867, 0.162454966683281, 0.00215312168552683, -0.00280911036059100, -0.171144058255245, -0.0466136194983708,
		-0.0888032082329010, 0.101868528212858, -0.0941485770955434, 0.100006081958912, 0.100777340530544, -0.0233860042129153, -0.109659330152547, 0.0798886992156716, 0.00354794858375770, 0.0713543302564059, 0.0600291949185784, -0.0895113135482436, -0.0213267188307358, -0.142447009141638, -0.0363258472467672, -0.116872284991455, 0.0109247941665665, -0.0400322700634663, -0.0381757878508905, -0.126563642223797, -0.0106671817056153, -0.0449103079849422, 0.0303564280841044, -0.0219188663046641, 0.0412307702040531, 0.152389489453652, -0.132391590572996, -0.0603874898054431, 0.0327559040044413, 0.00807011876263225, 0.0357318588185117, -0.0689427057923177, -0.0555661447134641, -0.0580009681883967, -0.0427127063983945, 0.109956194539538, 0.0471682863442773, 0.0496833731924583, -0.152064632561286, -0.112714618565917, -0.0310569908721570, 0.0441619155865907, -0.0462539362812897, -0.182689617071797, 0.0828116552303536, 0.178482983886684, -0.0214626724445032, -0.0764409438691380, 0.0373512408289921, -0.0299340333742733, 0.0140359128220092, -0.120575524107336, -0.0332086880387270 };

	floating Dr[53 * 53], Di[53 * 53], ddr[53 * 53], ddi[53 * 53], ddm[53 * 53];

	fft2_instance fft4;

	set_fft2_instance(&fft4, 53, 53);

	start_time = clock();

	fft2_real(&fft4, d, 53, 53);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D real FFT (N = 53, M = 53): %f seconds\n\n", elapsed);

	for (int i = 0; i < 53; i++) {
		for (int j = 0; j < 53; j++) {
			Dr[lin_index(i, j, 53)] = fft4.Re[lin_index(i, j, 53)];
			Di[lin_index(i, j, 53)] = fft4.Im[lin_index(i, j, 53)];
		}
	}

	start_time = clock();

	ifft2_complex(ddr, ddi, &fft4, 53, 53);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D complex iFFT (N = 53, M = 53): %f seconds\n\n", elapsed);

	start_time = clock();

	ifft2_real(ddm, &fft4, 53, 53);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D real iFFT (N = 53, M = 53): %f seconds\n\n", elapsed);

	delete_fft2_instance(&fft4);

	///////////////////////////

	floating e[] = { 0.910802232216941, 0.990511215150315, 0.993342763841508, 0.729036115345013, 0.870912524621325, 0.0147636628050427, 0.788823165012461, 0.00622578741150148, 0.619386801215951, 0.847758564395726, 0.976631596742213, 0.207156646144958, 0.492666912300111, 0.425483118086481, 0.505086084355522, 0.229306251465772, 0.492313130975707, 0.105320182975915, 0.331289642625589, 0.149057083245688, 0.202584980871927, 0.970698973176120, 0.807013774619851, 0.744444447627629, 0.890687873398548, 0.192580086806526, 0.142990554089145, 0.604178745602068, 0.825620811888813, 0.165470595368233, 0.411184890688863, 0.0767098742008153, 0.900974956264358, 0.182716250813704, 0.136194609644932, 0.901981191878953, 0.615725142289619, 0.970522786956106, 0.0650762004173646, 0.354697982136033, 0.359291135173070, 0.673994922037838, 0.0613777678138677, 0.0931269898117809, 0.498269902274275, 0.295420103219611, 0.749009335045582, 0.567350498584087, 0.232254753050780, 0.577843795117458, 0.0578726248164742, 0.701901080171244, 0.0560957431770505, 0.617670191946775, 0.590963929826328, 0.119169322975101, 0.206947941462873, 0.437318210302330, 0.0868954399451265, 0.515163184212802, 0.819305359946909, 0.414998271586948, 0.633021630675909, 0.259444566598520,
		0.885220040994411, 0.226534462555839, 0.356705749924566, 0.202616096163795, 0.722843568666448, 0.702764803428255, 0.473030640899700, 0.374345601275841, 0.615329400167534, 0.582781196988989, 0.492855181015119, 0.757083941555770, 0.354622854548100, 0.404338152089687, 0.375332280929957, 0.182228015272702, 0.834011655118891, 0.268160913711683, 0.453251351408243, 0.0282794508957929, 0.868515198201092, 0.841244015022289, 0.632952443655251, 0.839349277568775, 0.490670966286600, 0.790975648641478, 0.798920120530614, 0.641105051660087, 0.883688710947261, 0.0281335680082572, 0.236489187115421, 0.354473095439048, 0.214237510073561, 0.101214538189656, 0.694555598689595, 0.595707147578878, 0.304959957607017, 0.608885538697176, 0.509456125157452, 0.339020861851316, 0.114059615278847, 0.477439086586489, 0.661073988932246, 0.319027136248953, 0.949123025507723, 0.366120002034356, 0.756727389482938, 0.0761166268515728, 0.739832227063707, 0.0748443075998355, 0.0440737918191335, 0.565460937121375, 0.335197399918533, 0.562533391209560, 0.110970247102797, 0.955275201170228, 0.109655161101898, 0.612605067498194, 0.375497531631136, 0.0531949390179805, 0.926471637376764, 0.687332798473363, 0.0315568425574113, 0.345794513857056,
		0.794589424165852, 0.398005186420214, 0.752857841103010, 0.216276205436510, 0.668085931674845, 0.506747151486991, 0.828801698488441, 0.901495619292659, 0.122623901556050, 0.586177665240051, 0.400882866391995, 0.886328109630447, 0.775061199974026, 0.400292883883605, 0.480372228085867, 0.166352507736450, 0.131353685343350, 0.763843764539584, 0.737384638181300, 0.756669787984348, 0.751157321899609, 0.0785482063545127, 0.710427307863708, 0.262431920229879, 0.805823509416861, 0.0607051042239655, 0.930248163138044, 0.127466836015375, 0.945372957985459, 0.955369765277556, 0.195055322681085, 0.132010874408976, 0.547061105978206, 0.201584327245249, 0.515678957454232, 0.0685361446160678, 0.766967602751279, 0.719665612178919, 0.620797947105788, 0.895860046717408, 0.540817926388617, 0.305545802598978, 0.0186026419313314, 0.886961614706448, 0.953181675899852, 0.349048328671612, 0.542089075444797, 0.251621824309164, 0.888992345152850, 0.0573426693754819, 0.812943969672552, 0.584736351923449, 0.630904756752298, 0.830560709643071, 0.199852291472223, 0.440900790942236, 0.565849610384352, 0.737482414756424, 0.187381067424770, 0.843631920552928, 0.514119991814144, 0.657703905050132, 0.920033538805044, 0.902954947885711,
		0.925809807166877, 0.696568689511640, 0.110048497112667, 0.976334514779420, 0.178827792303708, 0.381266098426960, 0.322481588061953, 0.318344828077252, 0.123793528327212, 0.925837988949836, 0.994990261820298, 0.472229859496957, 0.236804807064439, 0.111922643905894, 0.342421402767108, 0.149607091618741, 0.759783471182520, 0.805510155575541, 0.509885654703147, 0.796106235942840, 0.419379649992969, 0.237598887672087, 0.688663539117781, 0.514238061322073, 0.326438909311377, 0.389827192453456, 0.00471947787680982, 0.496191996945931, 0.390795338404620, 0.680290711705600, 0.705379279645915, 0.158179630334593, 0.784709480995610, 0.134746010737990, 0.542582420314772, 0.218043374944113, 0.267229092367089, 0.302752325729782, 0.733567439827716, 0.545434258258452, 0.416421383244014, 0.516332982266915, 0.291102936564625, 0.657431673442442, 0.732923311686192, 0.630224055538105, 0.282062872879027, 0.133454528618960, 0.859807625912606, 0.300956435005654, 0.412073277714361, 0.344914599267407, 0.891977815013119, 0.957698738551541, 0.162964103083840, 0.875760217478570, 0.274333396208018, 0.303279447163244, 0.810526689988458, 0.594672781587329, 0.193143288141933, 0.679977496766688, 0.469746884935762, 0.0127008682661497,
		0.178839950775878, 0.0646407594535227, 0.597045229614403, 0.593235792436551, 0.550495354874599, 0.0649315348738551, 0.976146535227356, 0.597082923214809, 0.284458991295818, 0.575078267707539, 0.260998008345242, 0.158913526072725, 0.844833449014199, 0.424310773237634, 0.777146440140074, 0.202747397742598, 0.925736180672750, 0.104252997601917, 0.382514191853397, 0.293555594417440, 0.000231065199416736, 0.817570881268703, 0.320947861137131, 0.446774127592600, 0.549879145125724, 0.299965854261437, 0.650040581422714, 0.310469355507002, 0.801320064711665, 0.860562114724664, 0.180548253665843, 0.0621470516173679, 0.194441094252232, 0.323789153997764, 0.808483508969732, 0.869408491537521, 0.0395063042516288, 0.459022394078519, 0.229996230884130, 0.749283717331470, 0.517098497408891, 0.707028249857610, 0.973823826601782, 0.684516890301582, 0.384680004623791, 0.664442080806904, 0.244874846890166, 0.564473921782696, 0.597060788610351, 0.521721248782275, 0.384163168822831, 0.704233239500645, 0.673396626434058, 0.0755056532907340, 0.0368774272976408, 0.864951642952837, 0.0711652600846836, 0.0429677132819266, 0.723248195105840, 0.691018830555377, 0.602900907521622, 0.00938667700924689, 0.519903186132389, 0.132222804167349,
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		0.997551902431370, 0.259965278716868, 0.250342882536472, 0.497408284738571, 0.574249553785642, 0.871452148941678, 0.705900010029432, 0.234302833273045, 0.158824298675419, 0.500272550942528, 0.633455035012366, 0.171481076831545, 0.999773122694756, 0.161020904584738, 0.658116181223384, 0.785776285897775, 0.919542206194465, 0.282985376214109, 0.499725973621345, 0.133474990584297, 0.852190649398636, 0.847742491914359, 0.478854744051061, 0.312475998842778, 0.902372925442161, 0.0764114441659032, 0.734092093476126, 0.640917035139739, 0.822401807645737, 0.183774202665835, 0.300041215108974, 0.760728256118080, 0.699654848968811, 0.627506476971335, 0.766029364237188, 0.0979891648463104, 0.106872780238886, 0.477362794264840, 0.465070328743592, 0.00794029708478894, 0.629463131041725, 0.198017363329941, 0.309563092541107, 0.664642067152854, 0.325417485398251, 0.701496390153980, 0.0291555821799541, 0.648005694952403, 0.325875094193265, 0.770983940011353, 0.757123136425643, 0.503441463478443, 0.931475149923169, 0.969509323181670, 0.905157017594289, 0.949987708485075, 0.125649252286031, 0.337731006946369, 0.498099762823955, 0.206963300889426, 0.124322479444047, 0.853055727233087, 0.225927682042708, 0.809219837628967,
		0.517344133245693, 0.758974161342075, 0.488379635024966, 0.537842841324121, 0.412804401721059, 0.507602207944769, 0.700892172871074, 0.464699398608742, 0.355828116252427, 0.570255868872406, 0.986098096222033, 0.795361567918927, 0.0637386974643527, 0.432376826943672, 0.633982547890093, 0.922563045272989, 0.641999305521780, 0.225360245794357, 0.439024887659214, 0.672650514427429, 0.467251755433503, 0.762661063721127, 0.308117688829788, 0.693898958369993, 0.152232856672578, 0.410840343032633, 0.406432206360085, 0.304524481208468, 0.348234578993427, 0.299940922944898, 0.813544823896987, 0.915107935348786, 0.485904907517832, 0.0290875518506981, 0.846152344274838, 0.245676181936889, 0.732149758734352, 0.889883132710091, 0.953264168126250, 0.634025539141077, 0.0607094478975195, 0.155609101290637, 0.901802906347484, 0.414835533181356, 0.555390110486142, 0.952091371760300, 0.779817267477441, 0.539775820318468, 0.450492336647337, 0.313801920872552, 0.405197523540783, 0.0509146326559937, 0.378026726540899, 0.442140489739710, 0.865829381113203, 0.624682173299944, 0.645580255723501, 0.618855356023971, 0.0596236289852767, 0.724520306856971, 0.157387547750491, 0.378683694796009, 0.448443245432694, 0.461450605980961 };

	floating Er[64 * 64], Ei[64 * 64], eer[64 * 64], eei[64 * 64], eem[64 * 64];

	fft2_instance fft5;

	set_fft2_instance(&fft5, 64, 64);

	start_time = clock();

	fft2_real(&fft5, e, 64, 64);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D real FFT (N = 64, M = 64): %f seconds\n\n", elapsed);

	for (int i = 0; i < 64; i++) {
		for (int j = 0; j < 64; j++) {
			Er[lin_index(i, j, 64)] = fft5.Re[lin_index(i, j, 64)];
			Ei[lin_index(i, j, 64)] = fft5.Im[lin_index(i, j, 64)];
		}
	}

	start_time = clock();

	ifft2_complex(eer, eei, &fft5, 64, 64);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D complex iFFT (N = 64, M = 64): %f seconds\n\n", elapsed);

	start_time = clock();

	ifft2_real(eem, &fft5, 64, 64);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D real iFFT (N = 64, M = 64): %f seconds\n\n", elapsed);

	delete_fft2_instance(&fft5);

	///////////////////////////////////

	floating f[] = { 0.669330634, 0.702739634, 0.69361658, 0.634570187, 0.604711934, 0.614316481, 0.661770717, 0.702017009, 0.724030387, 0.731257994, 0.747856454, 0.758235723, 0.765812768, 0.756073797, 0.747438182, 0.75577822, 0.707447399, 0.625084927, 0.553331763, 0.615176941, 0.719269601, 0.692534777, 0.64730991, 0.641530846, 0.713053996, 0.753979454, 0.703706177, 0.619566034, 0.579252782, 0.641204435, 0.689614897, 0.708942201, 0.627212997, 0.620898443, 0.635276889, 0.647845426, 0.692064907, 0.695232698, 0.7196216, 0.737095394, 0.718290731, 0.707585562, 0.677387235, 0.625313558, 0.585059605, 0.574525272, 0.608654073, 0.652495544, 0.69722772, 0.699739555, 0.665111522, 0.628840737, 0.609237418, 0.639264934, 0.701527434, 0.715480178, 0.695706782, 0.637827937, 0.635640299, 0.633759441, 0.591241633, 0.571443789, 0.541201935, 0.474870688, 0.42794812, 0.443977777, 0.47287718, 0.47414472, 0.503883188, 0.506584819, 0.465823953, 0.445769162, 0.432318377, 0.415157086, 0.420651584, 0.43589763, 0.445600025, 0.444876937, 0.43407764, 0.428074327, 0.426558178, 0.417362257, 0.3965916, 0.375593019, 0.351190047, 0.321425506, 0.316019822, 0.309852136, 0.304777058, 0.268293675, 0.240944744, 0.308529789, 0.346450212, 0.304770774, 0.279959385, 0.272055965, 0.260011052, 0.25347205, 0.253611013, 0.286158493, 0.314062396, 0.263575072, 0.239071143, 0.273268296, 0.263771303, 0.236187527, 0.262409215, 0.293066984, 0.270136165, 0.233093212, 0.213473904, 0.231848885, 0.290727085, 0.333478372, 0.322137586, 0.283720747, 0.246425649, 0.223969007, 0.25805277, 0.290508644, 0.279791072, 0.232658763, 0.223815514, 0.249851969, 0.212603684, 0.215056381, 0.239814574, 0.210770451, 0.177933617, 0.212097905, 0.237441491, 0.240897074, 0.239016837, 0.208854115, 0.214824916, 0.26200304, 0.276433791, 0.298375975, 0.307939689, 0.264375192, 0.241000643, 0.269332304, 0.282161241, 0.259321091, 0.212546751, 0.229516946, 0.314684056, 0.352187211, 0.355489269, 0.335063371, 0.316909893, 0.27213328, 0.275062101, 0.299317609, 0.295017481, 0.277431488, 0.25842985, 0.201495356, 0.205394561, 0.250503694, 0.309147146, 0.349239882, 0.365893707, 0.378456469, 0.380345865, 0.396133292, 0.419409061, 0.460368919, 0.479810551, 0.469662471, 0.440373707, 0.447237009, 0.518995765, 0.518329371, 0.506123564, 0.512619327, 0.492071861, 0.497052139, 0.483708245, 0.522893245,
		0.692217251, 0.696050233, 0.711277756, 0.715877132, 0.690514027, 0.660980021, 0.653148652, 0.655239009, 0.682934361, 0.716527849, 0.735890234, 0.731011044, 0.729896544, 0.739093414, 0.763509116, 0.785725181, 0.765190565, 0.745685583, 0.685350241, 0.623689954, 0.613595626, 0.651692377, 0.708490145, 0.705865424, 0.699716404, 0.719572451, 0.745605357, 0.747155473, 0.715854174, 0.668535437, 0.635329905, 0.654969398, 0.676407856, 0.636198403, 0.576998859, 0.655721901, 0.75366216, 0.741189012, 0.725453621, 0.721570196, 0.724840833, 0.746285904, 0.767541192, 0.752599722, 0.691451119, 0.625957517, 0.575438378, 0.592731811, 0.614571805, 0.634333868, 0.668129977, 0.701530057, 0.692971256, 0.673217725, 0.674142397, 0.675487484, 0.663581618, 0.634805149, 0.653267897, 0.666648334, 0.649915381, 0.645249136, 0.616561555, 0.580009852, 0.523042907, 0.470025242, 0.45809336, 0.444697057, 0.429911743, 0.468627888, 0.479431193, 0.47495033, 0.456391837, 0.432950912, 0.415595658, 0.419778728, 0.422575699, 0.424936657, 0.424479461, 0.421304495, 0.42076022, 0.426177312, 0.427481665, 0.437220926, 0.457022701, 0.44639181, 0.388582162, 0.362401307, 0.375763325, 0.372303962, 0.352192805, 0.347897667, 0.366166637, 0.336689476, 0.34563095, 0.380437567, 0.347486109, 0.298379458, 0.270253442, 0.283382259, 0.316377571, 0.304731115, 0.264283771, 0.256028327, 0.275237894, 0.268449101, 0.289784571, 0.31157874, 0.308175092, 0.26801814, 0.236293548, 0.222303978, 0.2120464, 0.229544928, 0.258680027, 0.312475513, 0.295644822, 0.281417374, 0.26755876, 0.240023544, 0.237641878, 0.216745136, 0.230871311, 0.25989398, 0.227193285, 0.224100575, 0.24326687, 0.237570977, 0.211534749, 0.192803004, 0.195798956, 0.20304089, 0.216271169, 0.233610897, 0.23271442, 0.217880695, 0.225514257, 0.252644125, 0.265184003, 0.259778358, 0.274933587, 0.282374851, 0.263996998, 0.262319098, 0.235588219, 0.176206141, 0.201782272, 0.271304331, 0.334578537, 0.353993393, 0.352729662, 0.318871945, 0.289166351, 0.298069363, 0.30271965, 0.288743322, 0.265389976, 0.216938869, 0.182112027, 0.207384351, 0.239418214, 0.259907743, 0.292671884, 0.324403271, 0.359221319, 0.385272159, 0.37317285, 0.420665058, 0.44755841, 0.460494612, 0.47257705, 0.436664022, 0.423948352, 0.485936449, 0.515588891, 0.514008604, 0.51915478, 0.562617476, 0.523056355, 0.50660278,
		0.700793646, 0.698843121, 0.688677118, 0.683043524, 0.692319591, 0.711810761, 0.71715003, 0.702311985, 0.712991629, 0.731558039, 0.7394276, 0.711745336, 0.678664406, 0.693675831, 0.727701653, 0.733807169, 0.734703844, 0.747911508, 0.76776789, 0.748354799, 0.624075436, 0.552113636, 0.632997418, 0.663620984, 0.670234521, 0.692151338, 0.715083597, 0.720537948, 0.719243709, 0.741499805, 0.739813418, 0.733105382, 0.736732554, 0.734075066, 0.671555733, 0.639573822, 0.676213015, 0.705572706, 0.706641964, 0.730482156, 0.73080166, 0.730721116, 0.748319276, 0.74864866, 0.72865892, 0.70689505, 0.651269636, 0.607359233, 0.56979919, 0.578543448, 0.628263041, 0.676053882, 0.676283657, 0.662875465, 0.646748064, 0.642912962, 0.637244404, 0.626525155, 0.647527313, 0.662076546, 0.670082167, 0.676863548, 0.65595199, 0.640324683, 0.627187919, 0.595392093, 0.579753929, 0.567161798, 0.524748589, 0.479671994, 0.493044384, 0.479066225, 0.470893102, 0.488845172, 0.484545875, 0.46388215, 0.459559889, 0.462911166, 0.463851193, 0.454219999, 0.423014858, 0.390494523, 0.38823258, 0.395297949, 0.435739679, 0.43995035, 0.384405511, 0.384714426, 0.415237208, 0.435272623, 0.44206917, 0.414356117, 0.376686845, 0.344589421, 0.334874884, 0.372419903, 0.392544421, 0.416107092, 0.37915372, 0.345227955, 0.324967457, 0.339012997, 0.347723405, 0.331360951, 0.299808532, 0.269696412, 0.243647387, 0.260005343, 0.304451872, 0.331118548, 0.321216461, 0.294803073, 0.267968534, 0.232697972, 0.191576095, 0.218559266, 0.255000875, 0.284638512, 0.312936855, 0.282901393, 0.216489505, 0.216508442, 0.201155156, 0.227896862, 0.259533414, 0.254892685, 0.252977286, 0.288583715, 0.260910456, 0.227205313, 0.231812826, 0.190399954, 0.144630754, 0.185386914, 0.230746595, 0.215908303, 0.206520622, 0.242061532, 0.301611776, 0.290601774, 0.298413475, 0.294263255, 0.241760332, 0.212710393, 0.228212221, 0.224631543, 0.205645077, 0.172332488, 0.201939373, 0.266121377, 0.326805027, 0.358959673, 0.343862583, 0.33132517, 0.312534541, 0.281036282, 0.268782805, 0.261649708, 0.208946132, 0.213290298, 0.206782141, 0.21370658, 0.226979049, 0.254312011, 0.313618013, 0.373866238, 0.406309774, 0.435242327, 0.448439189, 0.449357318, 0.493127198, 0.466324565, 0.391658509, 0.39263336, 0.465824929, 0.495751744, 0.500634503, 0.545567938, 0.519730707, 0.489760048,
		0.702426669, 0.717538851, 0.71002755, 0.679572825, 0.666228563, 0.668590143, 0.662650568, 0.690641354, 0.717263785, 0.732906374, 0.75676711, 0.768740079, 0.753293335, 0.748803117, 0.748555101, 0.718676857, 0.711779914, 0.736868891, 0.755142538, 0.770229654, 0.745517756, 0.682361991, 0.639966416, 0.648678751, 0.626080512, 0.609595986, 0.638555244, 0.687667082, 0.722993254, 0.738936369, 0.735826888, 0.764647597, 0.787570167, 0.790269403, 0.761260282, 0.737968761, 0.700743971, 0.679997719, 0.66414467, 0.655598568, 0.681968896, 0.718546445, 0.741575336, 0.738020125, 0.716778789, 0.702574531, 0.703539662, 0.694654673, 0.659165382, 0.606003252, 0.583213618, 0.586090638, 0.612611885, 0.642772518, 0.649035818, 0.664583799, 0.666844043, 0.659792089, 0.661533009, 0.662190973, 0.661921445, 0.6627995, 0.649798646, 0.645041765, 0.661875625, 0.650227756, 0.625881212, 0.614377552, 0.585099449, 0.577630819, 0.582854635, 0.556706822, 0.544822952, 0.560384628, 0.561443401, 0.530978022, 0.506775668, 0.49199905, 0.497346717, 0.508274196, 0.496338663, 0.461216631, 0.443449706, 0.414821271, 0.393736556, 0.356795912, 0.349614546, 0.389222475, 0.412007065, 0.417158215, 0.436550435, 0.432335341, 0.444434392, 0.404218043, 0.348709248, 0.356657619, 0.35812236, 0.39652183, 0.421282976, 0.403997559, 0.378215097, 0.375886003, 0.398822506, 0.423110129, 0.428981508, 0.39160753, 0.333288665, 0.293264394, 0.292417462, 0.314085541, 0.329114965, 0.346077688, 0.369008815, 0.354600219, 0.316641685, 0.246642706, 0.219018885, 0.216573809, 0.241770564, 0.265492642, 0.271028738, 0.266369333, 0.24343628, 0.239496837, 0.291076751, 0.302157974, 0.283674249, 0.294600533, 0.290573418, 0.271264853, 0.299253023, 0.298620134, 0.239333268, 0.184706246, 0.191724613, 0.228071286, 0.229497804, 0.24803997, 0.272052208, 0.257362849, 0.258281362, 0.274003384, 0.29152493, 0.311023066, 0.305320753, 0.29334608, 0.2671169, 0.228522258, 0.214054596, 0.233279059, 0.244608568, 0.295047421, 0.315238579, 0.331033661, 0.357246353, 0.354116848, 0.324544687, 0.276921674, 0.210797359, 0.226722623, 0.255889129, 0.269714674, 0.240787077, 0.240293697, 0.265910976, 0.285121682, 0.338574298, 0.411507692, 0.436722006, 0.431996254, 0.484456147, 0.498104278, 0.456371409, 0.405645893, 0.400560918, 0.454922141, 0.485724602, 0.501724998, 0.485331791, 0.490636172,
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		0.746144685, 0.750162709, 0.766548757, 0.795211779, 0.818550735, 0.817838309, 0.803146218, 0.815233894, 0.807073153, 0.81512437, 0.812193533, 0.812615064, 0.818082757, 0.801396121, 0.792733419, 0.796080245, 0.80542634, 0.811702887, 0.806255546, 0.809102502, 0.827486181, 0.823385914, 0.79704145, 0.798006598, 0.8070162, 0.818977843, 0.827336776, 0.817985676, 0.799079587, 0.785814824, 0.809502504, 0.782089769, 0.766167414, 0.778209888, 0.789072299, 0.799094829, 0.799997839, 0.797950205, 0.79240958, 0.783341551, 0.783505282, 0.783392854, 0.781839158, 0.784258754, 0.788995715, 0.795136864, 0.793630855, 0.777159773, 0.785386019, 0.793613828, 0.782494356, 0.786629346, 0.787326838, 0.793997579, 0.799354262, 0.793974996, 0.788107922, 0.776167805, 0.780992483, 0.79628553, 0.778234403, 0.75692855, 0.771300389, 0.761814546, 0.758562371, 0.769586869, 0.75990609, 0.742751495, 0.737178232, 0.714152081, 0.69089622, 0.690846522, 0.687360274, 0.655909121, 0.650109512, 0.667925602, 0.633205515, 0.642121768, 0.666691952, 0.646830003, 0.626996792, 0.644910957, 0.637324682, 0.642871555, 0.683926062, 0.70181491, 0.707522794, 0.683924954, 0.651032759, 0.661019422, 0.677441181, 0.662747114, 0.66894897, 0.677571756, 0.685353475, 0.654980731, 0.63568232, 0.650261236, 0.64556622, 0.651580941, 0.627386059, 0.61328593, 0.611045092, 0.593742065, 0.569092574, 0.558176129, 0.57319211, 0.568007001, 0.544014078, 0.553200481, 0.55460956, 0.535089693, 0.525530045, 0.516931346, 0.531121802, 0.495807292, 0.468115695, 0.459788359, 0.476107306, 0.505866552, 0.515862011, 0.484996371, 0.453923568, 0.457139914, 0.477636332, 0.499040391, 0.524312044, 0.515693261, 0.479551894, 0.478362247, 0.499290373, 0.534347756, 0.573279348, 0.577831751, 0.553181413, 0.524904972, 0.556246574, 0.591261311, 0.587055499, 0.642490448, 0.661642474, 0.586858321, 0.574278615, 0.656445178, 0.652193212, 0.645092434, 0.599981952, 0.602686826, 0.60391324, 0.554493022, 0.560062941, 0.603796521, 0.585363621, 0.558231187, 0.605188905, 0.599539255, 0.640329106, 0.632907496, 0.614147183, 0.648949461, 0.638061156, 0.611643587, 0.64699728, 0.694408894, 0.674197511, 0.715459503, 0.705268418, 0.758119389, 0.798850625, 0.777288344, 0.809096515, 0.812836886, 0.8154149, 0.894289093, 0.870162623, 0.83651252, 0.86332706, 0.876693873, 0.865413038, 0.874926383 };

	floating ffm[133 * 180];

	fft2_instance fft6;

	set_fft2_instance(&fft6, 133, 180);
	
	start_time = clock();

	fft2_real(&fft6, f, 133, 180);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D real FFT (N = 133, M = 180): %f seconds\n\n", elapsed);

	start_time = clock();

	ifft2_real(ffm, &fft6, 133, 180);

	elapsed_time = clock() - start_time;
	elapsed = elapsed_time / ((double)CLOCKS_PER_SEC);
	printf("Time to process 2D real iFFT (N = 133, M = 180): %f seconds\n\n", elapsed);

	delete_fft2_instance(&fft6);

	floating gr[] = { 1.0, 2.0, 3.0, 4.0 }, gi[] = { 0.5, -1.0, 1.5, -2.0 };
	floating Gr[4], Gi[4], ggr[4], ggi[4];

	fft_instance fft7;
	set_fft_instance(&fft7, 4);
	fft_complex(&fft7, gr, gi, 0, 4);

	for (int i = 0; i < 4; i++) {
		Gr[i] = fft7.Re[i];
		Gi[i] = fft7.Im[i];
	}

	ifft_complex(ggr, ggi, &fft7, 0, 4);

	delete_fft_instance(&fft7);

	printf("Done!\n");
}