Original Version

1 files changed, 497 insertions, 0 deletions

diff --git a/src/c/elementaryFunctions/sqrt/testDoubleSqrt.c b/src/c/elementaryFunctions/sqrt/testDoubleSqrt.c
new file mode 100644
index 0000000..08b7413
--- /dev/null
+++ b/src/c/elementaryFunctions/sqrt/testDoubleSqrt.c
@@ -0,0 +1,497 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ *  This file must be used under the terms of the CeCILL.
+ *  This source file is licensed as described in the file COPYING, which
+ *  you should have received as part of this distribution.  The terms
+ *  are also available at
+ *  http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "testSqrt.h"
+
+#define SOURCE {0.7062616096809506416321,0.4090520101599395275116,0.3011248558759689331055,\
+0.1880126395262777805328,0.1796709178015589714050,0.2828889950178563594818,\
+0.7232380937784910202026,0.7360379849560558795929,0.1852612206712365150452,\
+0.7703790138475596904755,0.1914967410266399383545,0.7521587223745882511139,\
+0.6205883463844656944275,0.2807604051195085048676,0.2289868686348199844360,\
+0.5049233403988182544708,0.8354099662974476814270,0.8174716415815055370331,\
+0.0030740275979042053223,0.3677616142667829990387,0.8278525872156023979187,\
+0.72754097869619727135,0.5323124285787343978882,0.9267726917751133441925,\
+0.9542504185810685157776,0.3162104780785739421845,0.5789009965956211090088,\
+0.6881225542165338993073,0.3714061146602034568787,0.1705444059334695339203,\
+0.1954363007098436355591,0.978800852317363023758,0.9300233917310833930969,\
+0.5357720064930617809296,0.3947123587131500244141,0.1344871171750128269196,\
+0.7380615202710032463074,0.588114650454372167587,0.9113173168152570724487,\
+0.5682763461954891681671,0.1127616921439766883850,0.9478473584167659282684,\
+0.5237770043313503265381,0.8140139640308916568756,0.1400952627882361412048,\
+0.2763446993194520473480,0.9059953633695840835571,0.1379901585169136524200,\
+0.5603838684037327766419,0.3008610638789832592011,0.4767417535185813904,\
+0.8127435916103422641754,0.1988414181396365165710,0.1107953130267560482025,\
+0.2159351315349340438843,0.6467244853265583515167,0.6597879612818360328674,\
+0.0691898013465106487274,0.9164751060307025909424,0.8635670826770365238190,\
+0.5032854294404387474060,0.1832137755118310451508,0.8403698671609163284302,\
+0.9247214836068451404572,0.6229452537372708320618,0.2773811477236449718475,\
+0.2479109913110733032227,0.3891948559321463108063,0.0436578569933772087097,\
+0.8132526441477239131928,0.7686451207846403121948,0.4041520212776958942413,\
+0.8579940209165215492249,0.6993723283521831035614,0.0828925184905529022217,\
+0.9201254160143435001373,0.5200281282886862754822,0.9351884997449815273285,\
+0.8825624976307153701782,0.2245844271965324878693,0.2153332801535725593567,\
+0.4327089670114219188690,0.5800157263875007629395,0.8876141034997999668121,\
+0.5258982880041003227234,0.859640696551650762558,0.7337234076112508773804,\
+0.7134532411582767963409,0.1087165409699082374573,0.8477638359181582927704,\
+0.6594733335077762603760,0.7916418449021875858307,0.6067967480048537254334,\
+0.4102901122532784938812,0.1958728153258562088013,0.241527963895350694656,\
+0.5113455550745129585266,0.9119556057266891002655,0.0928984880447387695313,\
+0.7438839026726782321930,0.1938720373436808586121,0.4355978979729115962982,\
+0.9922429900616407394409,0.4533818070776760578156,0.8269640663638710975647,\
+0.8889675955288112163544,0.4682085178792476654053,0.3856786251999437808991,\
+0.4124865522608160972595,0.6955242282710969448090,0.0978972557932138442993,\
+0.8728604433126747608185,0.6359515609219670295715,0.4129665228538215160370,\
+0.0294486805796623229980,0.1809961968101561069489,0.7658103061839938163757,\
+0.1232470511458814144135,0.0170737411826848983765,0.8835507561452686786652,\
+0.3164170170202851295471,0.9378212536685168743134,0.3916359134018421173096,\
+0.0844073877669870853424,0.6934146797284483909607,0.4618808380328118801117,\
+0.9355291295796632766724,0.0842495900578796863556,0.5402926551178097724915,\
+0.5613215523771941661835,0.1306025832891464233398,0.5840523042716085910797,\
+0.0048661706969141960144,0.2761953338049352169037,0.7478824090212583541870,\
+0.0194325004704296588898,0.6444276878610253334045,0.2243968318216502666473,\
+0.2478402368724346160889,0.1196091384626924991608,0.1883201440796256065369,\
+0.3393343067727982997894,0.959958622232079505920,0.2847225037403404712677,\
+0.8766820700839161872864,0.2853349032811820507050,0.5103433504700660705566,\
+0.8752629184164106845856,0.5941145820543169975281,0.3945342986844480037689,\
+0.4661326166242361068726,0.0073588271625339984894,0.5170202488079667091370,\
+0.4690007264725863933563,0.6654530800879001617432,0.9476742581464350223541,\
+0.4933638339862227439880,0.2918433747254312038422,0.2016727942973375320435,\
+0.7016656589694321155548,0.8736049132421612739563,0.191055159550160169601,\
+0.5307010114192962646484,0.8889481076039373874664,0.0115523664280772209167,\
+0.4998398735187947750092,0.6700848620384931564331,0.4995208983309566974640,\
+0.1538907447829842567444,0.2571737091057002544403,0.9586529098451137542725,\
+0.6246025026775896549225,0.9371285131201148033142,0.9923511571250855922699,\
+0.3454555813223123550415,0.7558249053545296192169,0.2107181670144200325012,\
+0.9372652801685035228729,0.6767524704337120056152,0.7465373151935636997223,\
+0.4050982249900698661804,0.5101723610423505306244,0.9497965183109045028687,\
+0.0289692510850727558136,0.1634070957079529762268,0.4146909262053668498993,\
+0.0021650679409503936768,0.1810030029155313968658,0.4556188201531767845154,\
+0.1977851442061364650726,0.6053877938538789749146,0.4363054675050079822540,\
+0.8938506888225674629211,0.6104825991205871105194,0.4316215068101882934570,\
+0.2315693595446646213532,0.4675927339121699333191,0.6150764389894902706146,\
+0.8621218334883451461792,0.3846137975342571735382}
+
+#define RESULT {0.8403937230137732417035,0.6395717396507912821946,0.5487484449872901404177,\
+0.4336042429754092819572,0.4238760641998542411102,0.5318731004834296172135,\
+0.8504340619815806689985,0.8579265615168094605281,0.4304198190967006287799,\
+0.8777123753528599525708,0.4376034060957934568314,0.8672708471836166888025,\
+0.7877742991393319460514,0.5298682903510159025728,0.4785257241098120895018,\
+0.7105795806233234923610,0.9140076401745489409478,0.9041413836239913237591,\
+0.0554439139843518405404,0.6064335200718896645711,0.9098640487543193655640,\
+0.8529601272604701023283,0.7295974428263399813588,0.9626903405431641580492,\
+0.9768574197809363202083,0.5623259535879292503324,0.7608554373832265849131,\
+0.8295315269575556094139,0.6094309761246169410143,0.4129702240276767466476,\
+0.4420817805676271472493,0.9893436472315183527471,0.9643772040706288795064,\
+0.7319644844478875311822,0.6282613777029032453569,0.3667248521371476721598,\
+0.8591050694012946076228,0.7668863347683098075081,0.9546294133407251525370,\
+0.7538410616273759634609,0.3358000776414095667199,0.9735745263803721183393,\
+0.7237243980489743711004,0.9022272241685526106281,0.3742930172849022740778,\
+0.5256849810670379818944,0.9518378871265757990017,0.3714702659930047001780,\
+0.7485879162822044463610,0.5485080344707662369785,0.6904648821761910637562,\
+0.9015229290541324491670,0.4459163802100529760963,0.3328592991441819970433,\
+0.4646882089476060961886,0.8041918212258555298533,0.8122733291705668268179,\
+0.2630395433133783655855,0.9573270632499127907877,0.9292831014696417701870,\
+0.709426126838051174239,0.4280347830630485406189,0.9167168958631211062027,\
+0.9616243984045148573969,0.7892688095555726590646,0.5266698659726460896025,\
+0.4979066090253003729060,0.6238548356245596782088,0.2089446266200143398351,\
+0.9018052140832431007311,0.8767240847522328461849,0.6357295189604584839671,\
+0.9262796666863207795117,0.8362848368541564436640,0.2879106085064475628599,\
+0.9592316800514584240744,0.7211297582881227574703,0.9670514462762472840396,\
+0.9394479749463060525017,0.4739033943711866703197,0.4640401708403837921502,\
+0.6578061773892229791017,0.7615876353956259059430,0.9421327419741869491077,\
+0.7251884499935863370723,0.9271681058749005055475,0.8565765626091171869305,\
+0.8446616134040167978014,0.3297219146036675652134,0.9207409168263124277232,\
+0.8120796349544644465723,0.8897425722658142133170,0.7789715964044220397611,\
+0.6405389232929397103078,0.4425752086661161044390,0.4914549459465747394127,\
+0.7150842992784227636349,0.9549636672285962690765,0.3047925327903207581848,\
+0.8624870449303445596456,0.4403090248265198458633,0.6599984075533149585624,\
+0.9961139443164325202318,0.6733363253810654702747,0.9093756464541323802919,\
+0.9428507811572365282515,0.6842576399860272884368,0.6210302933029465677350,\
+0.6422511597971747310254,0.8339809519833752959883,0.3128853716510470728274,\
+0.9342700055726260721656,0.7974657114396624946195,0.6426247138523553115164,\
+0.1716061787339323019275,0.4254364779966053888849,0.8751058828416100610070,\
+0.351065593793925379007,0.1306665266343484677059,0.939973806095291464224,\
+0.5625095706032787745698,0.9684117170235585492222,0.6258082081611283653544,\
+0.2905294955197958439719,0.8327152452840337337747,0.6796181560500071938691,\
+0.967227547984270019654,0.2902577993058579330921,0.7350460224488054583603,\
+0.7492139563417076209,0.3613897941131520297198,0.7642331478492728757956,\
+0.0697579436115643852778,0.5255428943530063845557,0.8648019478593109710118,\
+0.1394005038385071892915,0.8027625351628122629677,0.4737054272664081300270,\
+0.4978355520374520559734,0.3458455413370143394225,0.4339586893698818559351,\
+0.5825240825689512735863,0.9797747813819661644175,0.5335939502471336304268,\
+0.9363130192857067601864,0.5341674861700046461621,0.7143831958200487219912,\
+0.9355548719430681892106,0.7707882861423861475814,0.628119653158892954359,\
+0.6827390545620164452600,0.0857836066071717417980,0.7190412010503756112811,\
+0.6848362771294949080669,0.8157530754388242488773,0.9734856229788064752029,\
+0.7023986289751872336140,0.5402252999679219014340,0.4490799419895499244859,\
+0.8376548567097501507561,0.9346683439820572258938,0.4370985696043401258493,\
+0.7284922864514739027086,0.9428404465252524513375,0.1074819353569576446672,\
+0.7069935455991057660086,0.8185871132863582477768,0.7067679239545019420632,\
+0.3922891086723976905581,0.5071229723703120084721,0.9791082217227642381374,\
+0.7903179756766194330453,0.9680539825444213208883,0.9961682373600784234924,\
+0.5877546948534841941836,0.8693819099535771144360,0.4590404851583572698459,\
+0.9681246201644205795489,0.8226496644585178374953,0.8640239089247262471716,\
+0.6364732712298842853826,0.7142635095273666134830,0.9745750449867390807768,\
+0.1702035577920530950991,0.4042364354037782381290,0.643965003866954543987,\
+0.0465302905745321321307,0.4254444768892075012801,0.6749954223201641845265,\
+0.444730417450995230144,0.7780667027022033499506,0.6605342288670648098758,\
+0.9454367714567524227931,0.7813338589364902109224,0.6569790763869031158251,\
+0.4812165412209607473493,0.6838075269490457852584,0.7842680912733159814820,\
+0.9285051607225159875370,0.6201723933990106463199}
+
+#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\
+0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\
+0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\
+0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\
+0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\
+0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\
+0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\
+0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\
+0.5461782198399305343628,0.7568633262999355792999,0.0259526828303933143616,\
+0.3250150899402797222138,0.6072143577039241791,0.8756139636971056461334,\
+0.2962085595354437828064,0.4229678637348115444183,0.4243144039064645767212,\
+0.7620028969831764698029,0.3622896494343876838684,0.5658242437057197093964,\
+0.6424440070986747741699,0.7580267959274351596832,0.2531452132388949394226,\
+0.5266989110969007015228,0.2118590380996465682983,0.4779220153577625751495,\
+0.1615962767973542213440,0.9168031658045947551727,0.5461866445839405059815,\
+0.4686870560981333255768,0.7772213732823729515076,0.5871783248148858547211,\
+0.5848031807690858840942,0.3139644009061157703400,0.3204141603782773017883,\
+0.3331634956412017345429,0.2282590121030807495117,0.2750317254103720188141,\
+0.4963629124686121940613,0.7453477247618138790131,0.1155001949518918991089,\
+0.0626524840481579303741,0.0877018878236413002014,0.5507565210573375225067,\
+0.2116370312869548797607,0.8335358710028231143951,0.4045845707878470420837,\
+0.2880227542482316493988,0.1750094983726739883423,0.0051561561413109302521,\
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+0.9826813959516584873200,0.0455837054178118705750,0.4096118300221860408783,\
+0.7104403134435415267944,0.3917615194804966449738,0.5571686858311295509338,\
+0.0565565521828830242157,0.1540721096098423004150,0.9109257892705500125885,\
+0.5713340407237410545349,0.3488348922692239284515,0.8972954172641038894653,\
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+0.9004421546123921871185,0.6668148916214704513550,0.8518152837641537189484,\
+0.8365677157416939735413,0.1291190306656062602997,0.6095453463494777679443,\
+0.2412315667606890201569,0.4029275467619299888611,0.3019328541122376918793,\
+0.1083198729902505874634,0.8456356939859688282013,0.9417407037690281867981,\
+0.9083450469188392162323,0.1937242373824119567871,0.5318046086467802524567,\
+0.8314437521621584892273,0.4952740012668073177338,0.7465563025325536727905,\
+0.7102393140085041522980,0.5811418974772095680237,0.7035941029898822307587,\
+0.3746570833027362823486,0.3394373343326151371002,0.6322447275742888450623,\
+0.7636191300116479396820,0.6940386760979890823364,0.8735245508141815662384,\
+0.3612738298252224922180,0.7933200257830321788788,0.4830590635538101196289,\
+0.2469964125193655490875,0.5025922833010554313660,0.7430270477198064327240,\
+0.6783937942236661911011,0.4903185223229229450226,0.709806025959551334381,\
+0.3303662906400859355927,0.6815545372664928436279,0.0701365978457033634186,\
+0.4745870968326926231384,0.8091805852018296718597,0.9447045121341943740845,\
+0.5478458073921501636505,0.1216687532141804695129,0.9161847713403403759003,\
+0.3045207932591438293457,0.6502694808878004550934,0.0987624628469347953796,\
+0.8391053467057645320892,0.0328534897416830062866,0.3461971958167850971222,\
+0.2801467711105942726135,0.5500544901005923748016,0.0729318000376224517822,\
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+0.4298669416457414627075,0.3537984383292496204376,0.0529730813577771186829,\
+0.9533003675751388072968,0.1842019557952880859375,0.958756382111459970474,\
+0.3245136169716715812683,0.0003973259590566158295,0.0972583871334791183472,\
+0.4378789965994656086,0.3634226778522133827210,0.2685119728557765483856,\
+0.2770298384130001068115,0.8854365111328661441803,0.5216628303751349449158,\
+0.4979983693920075893,0.8733724001795053482056,0.4699407932348549365997,\
+0.9364062966778874397278,0.1337622734718024730682,0.2712419554591178894043,\
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+0.7507283594459295272827,0.3062269617803394794464,0.9195641661062836647034,\
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+0.6721735307946801185608,0.9013197491876780986786,0.2140864841639995574951,\
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+#define ZSOURCEI {0.5503273960202932357788,0.6906704087741672992706,0.9835249418392777442932,\
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+
+#define ZRESULTR {0.8432166939003225003546,1.028696846310626300536,0.8741363651656853805960,\
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+
+#define ZRESULTI {0.3263261982366231217512,0.3357016264078308553920,0.5625695149136477057894,\
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+0.3133100513489369687292,0.2604774274143707435414,0.4760737048049700770314,\
+0.2202097738273190163927,0.3135385365979036498274,0.5703576069745146526202,\
+0.3290309478154280209417,0.3766593161719967164380,0.4946018916047810187742,\
+0.4780382426469301782035,0.3964469578199069088598,0.4544192798538850830425,\
+0.4952896438554572622337,0.4094267669310915347403}
+
+
+
+
+void dsqrtsTest(void) {
+	double in[]=SOURCE;
+	double res[]=RESULT;
+	double out;
+	int i;
+
+	for (i=0;i<200;i++){
+		out=dsqrts(in[i]);
+		assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16);
+	}
+}
+
+void zsqrtsTest(void) {
+	double inR[]=ZSOURCER;
+	double inI[]=ZSOURCEI;
+	double resR[]=ZRESULTR;
+	double resI[]=ZRESULTI;
+	doubleComplex in,out;
+	int i;
+
+	for (i=0;i<200;i++){
+		in=DoubleComplex(inR[i],inI[i]);
+		out=zsqrts(in);
+		assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-16);	
+		assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-16);			
+	}
+}
+
+void dsqrtaTest(void) {
+	double in[]=SOURCE;
+	double res[]=RESULT;
+	double out[200];
+	int i;
+
+	dsqrta(in,200,out);
+	for (i=0;i<200;i++){
+		assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-16);
+	}
+}
+
+void zsqrtaTest(void) {
+	double inR[]=ZSOURCER;
+	double inI[]=ZSOURCEI;
+	double resR[]=ZRESULTR;
+	double resI[]=ZRESULTI;
+	doubleComplex *in,out[200];
+	int i;
+
+
+	in=DoubleComplexMatrix(inR,inI,200);
+	zsqrta(in,200,out);
+
+	for (i=0;i<200;i++){
+		assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-16);	
+		assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-16);			
+	}
+}
+
+
+int testSqrt() {
+  printf("\n>>>> Double Square Root Tests\n");
+  dsqrtsTest();
+  zsqrtsTest();
+  dsqrtaTest();
+  zsqrtaTest();
+
+  return 0;
+}
+
+int main() {
+  assert(testSqrt() == 0);
+  return 0;
+}