diff options
Diffstat (limited to 'src/math/cmplx/cmath_test.go')
| -rw-r--r-- | src/math/cmplx/cmath_test.go | 866 |
1 files changed, 866 insertions, 0 deletions
diff --git a/src/math/cmplx/cmath_test.go b/src/math/cmplx/cmath_test.go new file mode 100644 index 000000000..f285646af --- /dev/null +++ b/src/math/cmplx/cmath_test.go @@ -0,0 +1,866 @@ +// Copyright 2010 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package cmplx + +import ( + "math" + "testing" +) + +var vc26 = []complex128{ + (4.97901192488367350108546816 + 7.73887247457810456552351752i), + (7.73887247457810456552351752 - 0.27688005719200159404635997i), + (-0.27688005719200159404635997 - 5.01060361827107492160848778i), + (-5.01060361827107492160848778 + 9.63629370719841737980004837i), + (9.63629370719841737980004837 + 2.92637723924396464525443662i), + (2.92637723924396464525443662 + 5.22908343145930665230025625i), + (5.22908343145930665230025625 + 2.72793991043601025126008608i), + (2.72793991043601025126008608 + 1.82530809168085506044576505i), + (1.82530809168085506044576505 - 8.68592476857560136238589621i), + (-8.68592476857560136238589621 + 4.97901192488367350108546816i), +} +var vc = []complex128{ + (4.9790119248836735e+00 + 7.7388724745781045e+00i), + (7.7388724745781045e+00 - 2.7688005719200159e-01i), + (-2.7688005719200159e-01 - 5.0106036182710749e+00i), + (-5.0106036182710749e+00 + 9.6362937071984173e+00i), + (9.6362937071984173e+00 + 2.9263772392439646e+00i), + (2.9263772392439646e+00 + 5.2290834314593066e+00i), + (5.2290834314593066e+00 + 2.7279399104360102e+00i), + (2.7279399104360102e+00 + 1.8253080916808550e+00i), + (1.8253080916808550e+00 - 8.6859247685756013e+00i), + (-8.6859247685756013e+00 + 4.9790119248836735e+00i), +} + +// The expected results below were computed by the high precision calculators +// at http://keisan.casio.com/. More exact input values (array vc[], above) +// were obtained by printing them with "%.26f". The answers were calculated +// to 26 digits (by using the "Digit number" drop-down control of each +// calculator). + +var abs = []float64{ + 9.2022120669932650313380972e+00, + 7.7438239742296106616261394e+00, + 5.0182478202557746902556648e+00, + 1.0861137372799545160704002e+01, + 1.0070841084922199607011905e+01, + 5.9922447613166942183705192e+00, + 5.8978784056736762299945176e+00, + 3.2822866700678709020367184e+00, + 8.8756430028990417290744307e+00, + 1.0011785496777731986390856e+01, +} + +var acos = []complex128{ + (1.0017679804707456328694569 - 2.9138232718554953784519807i), + (0.03606427612041407369636057 + 2.7358584434576260925091256i), + (1.6249365462333796703711823 + 2.3159537454335901187730929i), + (2.0485650849650740120660391 - 3.0795576791204117911123886i), + (0.29621132089073067282488147 - 3.0007392508200622519398814i), + (1.0664555914934156601503632 - 2.4872865024796011364747111i), + (0.48681307452231387690013905 - 2.463655912283054555225301i), + (0.6116977071277574248407752 - 1.8734458851737055262693056i), + (1.3649311280370181331184214 + 2.8793528632328795424123832i), + (2.6189310485682988308904501 - 2.9956543302898767795858704i), +} +var acosh = []complex128{ + (2.9138232718554953784519807 + 1.0017679804707456328694569i), + (2.7358584434576260925091256 - 0.03606427612041407369636057i), + (2.3159537454335901187730929 - 1.6249365462333796703711823i), + (3.0795576791204117911123886 + 2.0485650849650740120660391i), + (3.0007392508200622519398814 + 0.29621132089073067282488147i), + (2.4872865024796011364747111 + 1.0664555914934156601503632i), + (2.463655912283054555225301 + 0.48681307452231387690013905i), + (1.8734458851737055262693056 + 0.6116977071277574248407752i), + (2.8793528632328795424123832 - 1.3649311280370181331184214i), + (2.9956543302898767795858704 + 2.6189310485682988308904501i), +} +var asin = []complex128{ + (0.56902834632415098636186476 + 2.9138232718554953784519807i), + (1.5347320506744825455349611 - 2.7358584434576260925091256i), + (-0.054140219438483051139860579 - 2.3159537454335901187730929i), + (-0.47776875817017739283471738 + 3.0795576791204117911123886i), + (1.2745850059041659464064402 + 3.0007392508200622519398814i), + (0.50434073530148095908095852 + 2.4872865024796011364747111i), + (1.0839832522725827423311826 + 2.463655912283054555225301i), + (0.9590986196671391943905465 + 1.8734458851737055262693056i), + (0.20586519875787848611290031 - 2.8793528632328795424123832i), + (-1.0481347217734022116591284 + 2.9956543302898767795858704i), +} +var asinh = []complex128{ + (2.9113760469415295679342185 + 0.99639459545704326759805893i), + (2.7441755423994259061579029 - 0.035468308789000500601119392i), + (-2.2962136462520690506126678 - 1.5144663565690151885726707i), + (-3.0771233459295725965402455 + 1.0895577967194013849422294i), + (3.0048366100923647417557027 + 0.29346979169819220036454168i), + (2.4800059370795363157364643 + 1.0545868606049165710424232i), + (2.4718773838309585611141821 + 0.47502344364250803363708842i), + (1.8910743588080159144378396 + 0.56882925572563602341139174i), + (2.8735426423367341878069406 - 1.362376149648891420997548i), + (-2.9981750586172477217567878 + 0.5183571985225367505624207i), +} +var atan = []complex128{ + (1.5115747079332741358607654 + 0.091324403603954494382276776i), + (1.4424504323482602560806727 - 0.0045416132642803911503770933i), + (-1.5593488703630532674484026 - 0.20163295409248362456446431i), + (-1.5280619472445889867794105 + 0.081721556230672003746956324i), + (1.4759909163240799678221039 + 0.028602969320691644358773586i), + (1.4877353772046548932715555 + 0.14566877153207281663773599i), + (1.4206983927779191889826 + 0.076830486127880702249439993i), + (1.3162236060498933364869556 + 0.16031313000467530644933363i), + (1.5473450684303703578810093 - 0.11064907507939082484935782i), + (-1.4841462340185253987375812 + 0.049341850305024399493142411i), +} +var atanh = []complex128{ + (0.058375027938968509064640438 + 1.4793488495105334458167782i), + (0.12977343497790381229915667 - 1.5661009410463561327262499i), + (-0.010576456067347252072200088 - 1.3743698658402284549750563i), + (-0.042218595678688358882784918 + 1.4891433968166405606692604i), + (0.095218997991316722061828397 + 1.5416884098777110330499698i), + (0.079965459366890323857556487 + 1.4252510353873192700350435i), + (0.15051245471980726221708301 + 1.4907432533016303804884461i), + (0.25082072933993987714470373 + 1.392057665392187516442986i), + (0.022896108815797135846276662 - 1.4609224989282864208963021i), + (-0.08665624101841876130537396 + 1.5207902036935093480142159i), +} +var conj = []complex128{ + (4.9790119248836735e+00 - 7.7388724745781045e+00i), + (7.7388724745781045e+00 + 2.7688005719200159e-01i), + (-2.7688005719200159e-01 + 5.0106036182710749e+00i), + (-5.0106036182710749e+00 - 9.6362937071984173e+00i), + (9.6362937071984173e+00 - 2.9263772392439646e+00i), + (2.9263772392439646e+00 - 5.2290834314593066e+00i), + (5.2290834314593066e+00 - 2.7279399104360102e+00i), + (2.7279399104360102e+00 - 1.8253080916808550e+00i), + (1.8253080916808550e+00 + 8.6859247685756013e+00i), + (-8.6859247685756013e+00 - 4.9790119248836735e+00i), +} +var cos = []complex128{ + (3.024540920601483938336569e+02 + 1.1073797572517071650045357e+03i), + (1.192858682649064973252758e-01 + 2.7857554122333065540970207e-01i), + (7.2144394304528306603857962e+01 - 2.0500129667076044169954205e+01i), + (2.24921952538403984190541e+03 - 7.317363745602773587049329e+03i), + (-9.148222970032421760015498e+00 + 1.953124661113563541862227e+00i), + (-9.116081175857732248227078e+01 - 1.992669213569952232487371e+01i), + (3.795639179042704640002918e+00 + 6.623513350981458399309662e+00i), + (-2.9144840732498869560679084e+00 - 1.214620271628002917638748e+00i), + (-7.45123482501299743872481e+02 + 2.8641692314488080814066734e+03i), + (-5.371977967039319076416747e+01 + 4.893348341339375830564624e+01i), +} +var cosh = []complex128{ + (8.34638383523018249366948e+00 + 7.2181057886425846415112064e+01i), + (1.10421967379919366952251e+03 - 3.1379638689277575379469861e+02i), + (3.051485206773701584738512e-01 - 2.6805384730105297848044485e-01i), + (-7.33294728684187933370938e+01 + 1.574445942284918251038144e+01i), + (-7.478643293945957535757355e+03 + 1.6348382209913353929473321e+03i), + (4.622316522966235701630926e+00 - 8.088695185566375256093098e+00i), + (-8.544333183278877406197712e+01 + 3.7505836120128166455231717e+01i), + (-1.934457815021493925115198e+00 + 7.3725859611767228178358673e+00i), + (-2.352958770061749348353548e+00 - 2.034982010440878358915409e+00i), + (7.79756457532134748165069e+02 + 2.8549350716819176560377717e+03i), +} +var exp = []complex128{ + (1.669197736864670815125146e+01 + 1.4436895109507663689174096e+02i), + (2.2084389286252583447276212e+03 - 6.2759289284909211238261917e+02i), + (2.227538273122775173434327e-01 + 7.2468284028334191250470034e-01i), + (-6.5182985958153548997881627e-03 - 1.39965837915193860879044e-03i), + (-1.4957286524084015746110777e+04 + 3.269676455931135688988042e+03i), + (9.218158701983105935659273e+00 - 1.6223985291084956009304582e+01i), + (-1.7088175716853040841444505e+02 + 7.501382609870410713795546e+01i), + (-3.852461315830959613132505e+00 + 1.4808420423156073221970892e+01i), + (-4.586775503301407379786695e+00 - 4.178501081246873415144744e+00i), + (4.451337963005453491095747e-05 - 1.62977574205442915935263e-04i), +} +var log = []complex128{ + (2.2194438972179194425697051e+00 + 9.9909115046919291062461269e-01i), + (2.0468956191154167256337289e+00 - 3.5762575021856971295156489e-02i), + (1.6130808329853860438751244e+00 - 1.6259990074019058442232221e+00i), + (2.3851910394823008710032651e+00 + 2.0502936359659111755031062e+00i), + (2.3096442270679923004800651e+00 + 2.9483213155446756211881774e-01i), + (1.7904660933974656106951860e+00 + 1.0605860367252556281902109e+00i), + (1.7745926939841751666177512e+00 + 4.8084556083358307819310911e-01i), + (1.1885403350045342425648780e+00 + 5.8969634164776659423195222e-01i), + (2.1833107837679082586772505e+00 - 1.3636647724582455028314573e+00i), + (2.3037629487273259170991671e+00 + 2.6210913895386013290915234e+00i), +} +var log10 = []complex128{ + (9.6389223745559042474184943e-01 + 4.338997735671419492599631e-01i), + (8.8895547241376579493490892e-01 - 1.5531488990643548254864806e-02i), + (7.0055210462945412305244578e-01 - 7.0616239649481243222248404e-01i), + (1.0358753067322445311676952e+00 + 8.9043121238134980156490909e-01i), + (1.003065742975330237172029e+00 + 1.2804396782187887479857811e-01i), + (7.7758954439739162532085157e-01 + 4.6060666333341810869055108e-01i), + (7.7069581462315327037689152e-01 + 2.0882857371769952195512475e-01i), + (5.1617650901191156135137239e-01 + 2.5610186717615977620363299e-01i), + (9.4819982567026639742663212e-01 - 5.9223208584446952284914289e-01i), + (1.0005115362454417135973429e+00 + 1.1383255270407412817250921e+00i), +} + +type ff struct { + r, theta float64 +} + +var polar = []ff{ + {9.2022120669932650313380972e+00, 9.9909115046919291062461269e-01}, + {7.7438239742296106616261394e+00, -3.5762575021856971295156489e-02}, + {5.0182478202557746902556648e+00, -1.6259990074019058442232221e+00}, + {1.0861137372799545160704002e+01, 2.0502936359659111755031062e+00}, + {1.0070841084922199607011905e+01, 2.9483213155446756211881774e-01}, + {5.9922447613166942183705192e+00, 1.0605860367252556281902109e+00}, + {5.8978784056736762299945176e+00, 4.8084556083358307819310911e-01}, + {3.2822866700678709020367184e+00, 5.8969634164776659423195222e-01}, + {8.8756430028990417290744307e+00, -1.3636647724582455028314573e+00}, + {1.0011785496777731986390856e+01, 2.6210913895386013290915234e+00}, +} +var pow = []complex128{ + (-2.499956739197529585028819e+00 + 1.759751724335650228957144e+00i), + (7.357094338218116311191939e+04 - 5.089973412479151648145882e+04i), + (1.320777296067768517259592e+01 - 3.165621914333901498921986e+01i), + (-3.123287828297300934072149e-07 - 1.9849567521490553032502223E-7i), + (8.0622651468477229614813e+04 - 7.80028727944573092944363e+04i), + (-1.0268824572103165858577141e+00 - 4.716844738244989776610672e-01i), + (-4.35953819012244175753187e+01 + 2.2036445974645306917648585e+02i), + (8.3556092283250594950239e-01 - 1.2261571947167240272593282e+01i), + (1.582292972120769306069625e+03 + 1.273564263524278244782512e+04i), + (6.592208301642122149025369e-08 + 2.584887236651661903526389e-08i), +} +var sin = []complex128{ + (-1.1073801774240233539648544e+03 + 3.024539773002502192425231e+02i), + (1.0317037521400759359744682e+00 - 3.2208979799929570242818e-02i), + (-2.0501952097271429804261058e+01 - 7.2137981348240798841800967e+01i), + (7.3173638080346338642193078e+03 + 2.249219506193664342566248e+03i), + (-1.964375633631808177565226e+00 - 9.0958264713870404464159683e+00i), + (1.992783647158514838337674e+01 - 9.11555769410191350416942e+01i), + (-6.680335650741921444300349e+00 + 3.763353833142432513086117e+00i), + (1.2794028166657459148245993e+00 - 2.7669092099795781155109602e+00i), + (2.8641693949535259594188879e+03 + 7.451234399649871202841615e+02i), + (-4.893811726244659135553033e+01 - 5.371469305562194635957655e+01i), +} +var sinh = []complex128{ + (8.34559353341652565758198e+00 + 7.2187893208650790476628899e+01i), + (1.1042192548260646752051112e+03 - 3.1379650595631635858792056e+02i), + (-8.239469336509264113041849e-02 + 9.9273668758439489098514519e-01i), + (7.332295456982297798219401e+01 - 1.574585908122833444899023e+01i), + (-7.4786432301380582103534216e+03 + 1.63483823493980029604071e+03i), + (4.595842179016870234028347e+00 - 8.135290105518580753211484e+00i), + (-8.543842533574163435246793e+01 + 3.750798997857594068272375e+01i), + (-1.918003500809465688017307e+00 + 7.4358344619793504041350251e+00i), + (-2.233816733239658031433147e+00 - 2.143519070805995056229335e+00i), + (-7.797564130187551181105341e+02 - 2.8549352346594918614806877e+03i), +} +var sqrt = []complex128{ + (2.6628203086086130543813948e+00 + 1.4531345674282185229796902e+00i), + (2.7823278427251986247149295e+00 - 4.9756907317005224529115567e-02i), + (1.5397025302089642757361015e+00 - 1.6271336573016637535695727e+00i), + (1.7103411581506875260277898e+00 + 2.8170677122737589676157029e+00i), + (3.1390392472953103383607947e+00 + 4.6612625849858653248980849e-01i), + (2.1117080764822417640789287e+00 + 1.2381170223514273234967850e+00i), + (2.3587032281672256703926939e+00 + 5.7827111903257349935720172e-01i), + (1.7335262588873410476661577e+00 + 5.2647258220721269141550382e-01i), + (2.3131094974708716531499282e+00 - 1.8775429304303785570775490e+00i), + (8.1420535745048086240947359e-01 + 3.0575897587277248522656113e+00i), +} +var tan = []complex128{ + (-1.928757919086441129134525e-07 + 1.0000003267499169073251826e+00i), + (1.242412685364183792138948e+00 - 3.17149693883133370106696e+00i), + (-4.6745126251587795225571826e-05 - 9.9992439225263959286114298e-01i), + (4.792363401193648192887116e-09 + 1.0000000070589333451557723e+00i), + (2.345740824080089140287315e-03 + 9.947733046570988661022763e-01i), + (-2.396030789494815566088809e-05 + 9.9994781345418591429826779e-01i), + (-7.370204836644931340905303e-03 + 1.0043553413417138987717748e+00i), + (-3.691803847992048527007457e-02 + 9.6475071993469548066328894e-01i), + (-2.781955256713729368401878e-08 - 1.000000049848910609006646e+00i), + (9.4281590064030478879791249e-05 + 9.9999119340863718183758545e-01i), +} +var tanh = []complex128{ + (1.0000921981225144748819918e+00 + 2.160986245871518020231507e-05i), + (9.9999967727531993209562591e-01 - 1.9953763222959658873657676e-07i), + (-1.765485739548037260789686e+00 + 1.7024216325552852445168471e+00i), + (-9.999189442732736452807108e-01 + 3.64906070494473701938098e-05i), + (9.9999999224622333738729767e-01 - 3.560088949517914774813046e-09i), + (1.0029324933367326862499343e+00 - 4.948790309797102353137528e-03i), + (9.9996113064788012488693567e-01 - 4.226995742097032481451259e-05i), + (1.0074784189316340029873945e+00 - 4.194050814891697808029407e-03i), + (9.9385534229718327109131502e-01 + 5.144217985914355502713437e-02i), + (-1.0000000491604982429364892e+00 - 2.901873195374433112227349e-08i), +} + +// special cases +var vcAbsSC = []complex128{ + NaN(), +} +var absSC = []float64{ + math.NaN(), +} +var vcAcosSC = []complex128{ + NaN(), +} +var acosSC = []complex128{ + NaN(), +} +var vcAcoshSC = []complex128{ + NaN(), +} +var acoshSC = []complex128{ + NaN(), +} +var vcAsinSC = []complex128{ + NaN(), +} +var asinSC = []complex128{ + NaN(), +} +var vcAsinhSC = []complex128{ + NaN(), +} +var asinhSC = []complex128{ + NaN(), +} +var vcAtanSC = []complex128{ + NaN(), +} +var atanSC = []complex128{ + NaN(), +} +var vcAtanhSC = []complex128{ + NaN(), +} +var atanhSC = []complex128{ + NaN(), +} +var vcConjSC = []complex128{ + NaN(), +} +var conjSC = []complex128{ + NaN(), +} +var vcCosSC = []complex128{ + NaN(), +} +var cosSC = []complex128{ + NaN(), +} +var vcCoshSC = []complex128{ + NaN(), +} +var coshSC = []complex128{ + NaN(), +} +var vcExpSC = []complex128{ + NaN(), +} +var expSC = []complex128{ + NaN(), +} +var vcIsNaNSC = []complex128{ + complex(math.Inf(-1), math.Inf(-1)), + complex(math.Inf(-1), math.NaN()), + complex(math.NaN(), math.Inf(-1)), + complex(0, math.NaN()), + complex(math.NaN(), 0), + complex(math.Inf(1), math.Inf(1)), + complex(math.Inf(1), math.NaN()), + complex(math.NaN(), math.Inf(1)), + complex(math.NaN(), math.NaN()), +} +var isNaNSC = []bool{ + false, + false, + false, + true, + true, + false, + false, + false, + true, +} +var vcLogSC = []complex128{ + NaN(), +} +var logSC = []complex128{ + NaN(), +} +var vcLog10SC = []complex128{ + NaN(), +} +var log10SC = []complex128{ + NaN(), +} +var vcPolarSC = []complex128{ + NaN(), +} +var polarSC = []ff{ + {math.NaN(), math.NaN()}, +} +var vcPowSC = [][2]complex128{ + {NaN(), NaN()}, +} +var powSC = []complex128{ + NaN(), +} +var vcSinSC = []complex128{ + NaN(), +} +var sinSC = []complex128{ + NaN(), +} +var vcSinhSC = []complex128{ + NaN(), +} +var sinhSC = []complex128{ + NaN(), +} +var vcSqrtSC = []complex128{ + NaN(), +} +var sqrtSC = []complex128{ + NaN(), +} +var vcTanSC = []complex128{ + NaN(), +} +var tanSC = []complex128{ + NaN(), +} +var vcTanhSC = []complex128{ + NaN(), +} +var tanhSC = []complex128{ + NaN(), +} + +// functions borrowed from pkg/math/all_test.go +func tolerance(a, b, e float64) bool { + d := a - b + if d < 0 { + d = -d + } + + if a != 0 { + e = e * a + if e < 0 { + e = -e + } + } + return d < e +} +func soclose(a, b, e float64) bool { return tolerance(a, b, e) } +func veryclose(a, b float64) bool { return tolerance(a, b, 4e-16) } +func alike(a, b float64) bool { + switch { + case a != a && b != b: // math.IsNaN(a) && math.IsNaN(b): + return true + case a == b: + return math.Signbit(a) == math.Signbit(b) + } + return false +} + +func cTolerance(a, b complex128, e float64) bool { + d := Abs(a - b) + if a != 0 { + e = e * Abs(a) + if e < 0 { + e = -e + } + } + return d < e +} +func cSoclose(a, b complex128, e float64) bool { return cTolerance(a, b, e) } +func cVeryclose(a, b complex128) bool { return cTolerance(a, b, 4e-16) } +func cAlike(a, b complex128) bool { + switch { + case IsNaN(a) && IsNaN(b): + return true + case a == b: + return math.Signbit(real(a)) == math.Signbit(real(b)) && math.Signbit(imag(a)) == math.Signbit(imag(b)) + } + return false +} + +func TestAbs(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Abs(vc[i]); !veryclose(abs[i], f) { + t.Errorf("Abs(%g) = %g, want %g", vc[i], f, abs[i]) + } + } + for i := 0; i < len(vcAbsSC); i++ { + if f := Abs(vcAbsSC[i]); !alike(absSC[i], f) { + t.Errorf("Abs(%g) = %g, want %g", vcAbsSC[i], f, absSC[i]) + } + } +} +func TestAcos(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Acos(vc[i]); !cSoclose(acos[i], f, 1e-14) { + t.Errorf("Acos(%g) = %g, want %g", vc[i], f, acos[i]) + } + } + for i := 0; i < len(vcAcosSC); i++ { + if f := Acos(vcAcosSC[i]); !cAlike(acosSC[i], f) { + t.Errorf("Acos(%g) = %g, want %g", vcAcosSC[i], f, acosSC[i]) + } + } +} +func TestAcosh(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Acosh(vc[i]); !cSoclose(acosh[i], f, 1e-14) { + t.Errorf("Acosh(%g) = %g, want %g", vc[i], f, acosh[i]) + } + } + for i := 0; i < len(vcAcoshSC); i++ { + if f := Acosh(vcAcoshSC[i]); !cAlike(acoshSC[i], f) { + t.Errorf("Acosh(%g) = %g, want %g", vcAcoshSC[i], f, acoshSC[i]) + } + } +} +func TestAsin(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Asin(vc[i]); !cSoclose(asin[i], f, 1e-14) { + t.Errorf("Asin(%g) = %g, want %g", vc[i], f, asin[i]) + } + } + for i := 0; i < len(vcAsinSC); i++ { + if f := Asin(vcAsinSC[i]); !cAlike(asinSC[i], f) { + t.Errorf("Asin(%g) = %g, want %g", vcAsinSC[i], f, asinSC[i]) + } + } +} +func TestAsinh(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Asinh(vc[i]); !cSoclose(asinh[i], f, 4e-15) { + t.Errorf("Asinh(%g) = %g, want %g", vc[i], f, asinh[i]) + } + } + for i := 0; i < len(vcAsinhSC); i++ { + if f := Asinh(vcAsinhSC[i]); !cAlike(asinhSC[i], f) { + t.Errorf("Asinh(%g) = %g, want %g", vcAsinhSC[i], f, asinhSC[i]) + } + } +} +func TestAtan(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Atan(vc[i]); !cVeryclose(atan[i], f) { + t.Errorf("Atan(%g) = %g, want %g", vc[i], f, atan[i]) + } + } + for i := 0; i < len(vcAtanSC); i++ { + if f := Atan(vcAtanSC[i]); !cAlike(atanSC[i], f) { + t.Errorf("Atan(%g) = %g, want %g", vcAtanSC[i], f, atanSC[i]) + } + } +} +func TestAtanh(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Atanh(vc[i]); !cVeryclose(atanh[i], f) { + t.Errorf("Atanh(%g) = %g, want %g", vc[i], f, atanh[i]) + } + } + for i := 0; i < len(vcAtanhSC); i++ { + if f := Atanh(vcAtanhSC[i]); !cAlike(atanhSC[i], f) { + t.Errorf("Atanh(%g) = %g, want %g", vcAtanhSC[i], f, atanhSC[i]) + } + } +} +func TestConj(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Conj(vc[i]); !cVeryclose(conj[i], f) { + t.Errorf("Conj(%g) = %g, want %g", vc[i], f, conj[i]) + } + } + for i := 0; i < len(vcConjSC); i++ { + if f := Conj(vcConjSC[i]); !cAlike(conjSC[i], f) { + t.Errorf("Conj(%g) = %g, want %g", vcConjSC[i], f, conjSC[i]) + } + } +} +func TestCos(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Cos(vc[i]); !cSoclose(cos[i], f, 3e-15) { + t.Errorf("Cos(%g) = %g, want %g", vc[i], f, cos[i]) + } + } + for i := 0; i < len(vcCosSC); i++ { + if f := Cos(vcCosSC[i]); !cAlike(cosSC[i], f) { + t.Errorf("Cos(%g) = %g, want %g", vcCosSC[i], f, cosSC[i]) + } + } +} +func TestCosh(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Cosh(vc[i]); !cSoclose(cosh[i], f, 2e-15) { + t.Errorf("Cosh(%g) = %g, want %g", vc[i], f, cosh[i]) + } + } + for i := 0; i < len(vcCoshSC); i++ { + if f := Cosh(vcCoshSC[i]); !cAlike(coshSC[i], f) { + t.Errorf("Cosh(%g) = %g, want %g", vcCoshSC[i], f, coshSC[i]) + } + } +} +func TestExp(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Exp(vc[i]); !cSoclose(exp[i], f, 1e-15) { + t.Errorf("Exp(%g) = %g, want %g", vc[i], f, exp[i]) + } + } + for i := 0; i < len(vcExpSC); i++ { + if f := Exp(vcExpSC[i]); !cAlike(expSC[i], f) { + t.Errorf("Exp(%g) = %g, want %g", vcExpSC[i], f, expSC[i]) + } + } +} +func TestIsNaN(t *testing.T) { + for i := 0; i < len(vcIsNaNSC); i++ { + if f := IsNaN(vcIsNaNSC[i]); isNaNSC[i] != f { + t.Errorf("IsNaN(%v) = %v, want %v", vcIsNaNSC[i], f, isNaNSC[i]) + } + } +} +func TestLog(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Log(vc[i]); !cVeryclose(log[i], f) { + t.Errorf("Log(%g) = %g, want %g", vc[i], f, log[i]) + } + } + for i := 0; i < len(vcLogSC); i++ { + if f := Log(vcLogSC[i]); !cAlike(logSC[i], f) { + t.Errorf("Log(%g) = %g, want %g", vcLogSC[i], f, logSC[i]) + } + } +} +func TestLog10(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Log10(vc[i]); !cVeryclose(log10[i], f) { + t.Errorf("Log10(%g) = %g, want %g", vc[i], f, log10[i]) + } + } + for i := 0; i < len(vcLog10SC); i++ { + if f := Log10(vcLog10SC[i]); !cAlike(log10SC[i], f) { + t.Errorf("Log10(%g) = %g, want %g", vcLog10SC[i], f, log10SC[i]) + } + } +} +func TestPolar(t *testing.T) { + for i := 0; i < len(vc); i++ { + if r, theta := Polar(vc[i]); !veryclose(polar[i].r, r) && !veryclose(polar[i].theta, theta) { + t.Errorf("Polar(%g) = %g, %g want %g, %g", vc[i], r, theta, polar[i].r, polar[i].theta) + } + } + for i := 0; i < len(vcPolarSC); i++ { + if r, theta := Polar(vcPolarSC[i]); !alike(polarSC[i].r, r) && !alike(polarSC[i].theta, theta) { + t.Errorf("Polar(%g) = %g, %g, want %g, %g", vcPolarSC[i], r, theta, polarSC[i].r, polarSC[i].theta) + } + } +} +func TestPow(t *testing.T) { + // Special cases for Pow(0, c). + var zero = complex(0, 0) + zeroPowers := [][2]complex128{ + {0, 1 + 0i}, + {1.5, 0 + 0i}, + {-1.5, complex(math.Inf(0), 0)}, + {-1.5 + 1.5i, Inf()}, + } + for _, zp := range zeroPowers { + if f := Pow(zero, zp[0]); f != zp[1] { + t.Errorf("Pow(%g, %g) = %g, want %g", zero, zp[0], f, zp[1]) + } + } + var a = complex(3.0, 3.0) + for i := 0; i < len(vc); i++ { + if f := Pow(a, vc[i]); !cSoclose(pow[i], f, 4e-15) { + t.Errorf("Pow(%g, %g) = %g, want %g", a, vc[i], f, pow[i]) + } + } + for i := 0; i < len(vcPowSC); i++ { + if f := Pow(vcPowSC[i][0], vcPowSC[i][0]); !cAlike(powSC[i], f) { + t.Errorf("Pow(%g, %g) = %g, want %g", vcPowSC[i][0], vcPowSC[i][0], f, powSC[i]) + } + } +} +func TestRect(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Rect(polar[i].r, polar[i].theta); !cVeryclose(vc[i], f) { + t.Errorf("Rect(%g, %g) = %g want %g", polar[i].r, polar[i].theta, f, vc[i]) + } + } + for i := 0; i < len(vcPolarSC); i++ { + if f := Rect(polarSC[i].r, polarSC[i].theta); !cAlike(vcPolarSC[i], f) { + t.Errorf("Rect(%g, %g) = %g, want %g", polarSC[i].r, polarSC[i].theta, f, vcPolarSC[i]) + } + } +} +func TestSin(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Sin(vc[i]); !cSoclose(sin[i], f, 2e-15) { + t.Errorf("Sin(%g) = %g, want %g", vc[i], f, sin[i]) + } + } + for i := 0; i < len(vcSinSC); i++ { + if f := Sin(vcSinSC[i]); !cAlike(sinSC[i], f) { + t.Errorf("Sin(%g) = %g, want %g", vcSinSC[i], f, sinSC[i]) + } + } +} +func TestSinh(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Sinh(vc[i]); !cSoclose(sinh[i], f, 2e-15) { + t.Errorf("Sinh(%g) = %g, want %g", vc[i], f, sinh[i]) + } + } + for i := 0; i < len(vcSinhSC); i++ { + if f := Sinh(vcSinhSC[i]); !cAlike(sinhSC[i], f) { + t.Errorf("Sinh(%g) = %g, want %g", vcSinhSC[i], f, sinhSC[i]) + } + } +} +func TestSqrt(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Sqrt(vc[i]); !cVeryclose(sqrt[i], f) { + t.Errorf("Sqrt(%g) = %g, want %g", vc[i], f, sqrt[i]) + } + } + for i := 0; i < len(vcSqrtSC); i++ { + if f := Sqrt(vcSqrtSC[i]); !cAlike(sqrtSC[i], f) { + t.Errorf("Sqrt(%g) = %g, want %g", vcSqrtSC[i], f, sqrtSC[i]) + } + } +} +func TestTan(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Tan(vc[i]); !cSoclose(tan[i], f, 3e-15) { + t.Errorf("Tan(%g) = %g, want %g", vc[i], f, tan[i]) + } + } + for i := 0; i < len(vcTanSC); i++ { + if f := Tan(vcTanSC[i]); !cAlike(tanSC[i], f) { + t.Errorf("Tan(%g) = %g, want %g", vcTanSC[i], f, tanSC[i]) + } + } +} +func TestTanh(t *testing.T) { + for i := 0; i < len(vc); i++ { + if f := Tanh(vc[i]); !cSoclose(tanh[i], f, 2e-15) { + t.Errorf("Tanh(%g) = %g, want %g", vc[i], f, tanh[i]) + } + } + for i := 0; i < len(vcTanhSC); i++ { + if f := Tanh(vcTanhSC[i]); !cAlike(tanhSC[i], f) { + t.Errorf("Tanh(%g) = %g, want %g", vcTanhSC[i], f, tanhSC[i]) + } + } +} + +func BenchmarkAbs(b *testing.B) { + for i := 0; i < b.N; i++ { + Abs(complex(2.5, 3.5)) + } +} +func BenchmarkAcos(b *testing.B) { + for i := 0; i < b.N; i++ { + Acos(complex(2.5, 3.5)) + } +} +func BenchmarkAcosh(b *testing.B) { + for i := 0; i < b.N; i++ { + Acosh(complex(2.5, 3.5)) + } +} +func BenchmarkAsin(b *testing.B) { + for i := 0; i < b.N; i++ { + Asin(complex(2.5, 3.5)) + } +} +func BenchmarkAsinh(b *testing.B) { + for i := 0; i < b.N; i++ { + Asinh(complex(2.5, 3.5)) + } +} +func BenchmarkAtan(b *testing.B) { + for i := 0; i < b.N; i++ { + Atan(complex(2.5, 3.5)) + } +} +func BenchmarkAtanh(b *testing.B) { + for i := 0; i < b.N; i++ { + Atanh(complex(2.5, 3.5)) + } +} +func BenchmarkConj(b *testing.B) { + for i := 0; i < b.N; i++ { + Conj(complex(2.5, 3.5)) + } +} +func BenchmarkCos(b *testing.B) { + for i := 0; i < b.N; i++ { + Cos(complex(2.5, 3.5)) + } +} +func BenchmarkCosh(b *testing.B) { + for i := 0; i < b.N; i++ { + Cosh(complex(2.5, 3.5)) + } +} +func BenchmarkExp(b *testing.B) { + for i := 0; i < b.N; i++ { + Exp(complex(2.5, 3.5)) + } +} +func BenchmarkLog(b *testing.B) { + for i := 0; i < b.N; i++ { + Log(complex(2.5, 3.5)) + } +} +func BenchmarkLog10(b *testing.B) { + for i := 0; i < b.N; i++ { + Log10(complex(2.5, 3.5)) + } +} +func BenchmarkPhase(b *testing.B) { + for i := 0; i < b.N; i++ { + Phase(complex(2.5, 3.5)) + } +} +func BenchmarkPolar(b *testing.B) { + for i := 0; i < b.N; i++ { + Polar(complex(2.5, 3.5)) + } +} +func BenchmarkPow(b *testing.B) { + for i := 0; i < b.N; i++ { + Pow(complex(2.5, 3.5), complex(2.5, 3.5)) + } +} +func BenchmarkRect(b *testing.B) { + for i := 0; i < b.N; i++ { + Rect(2.5, 1.5) + } +} +func BenchmarkSin(b *testing.B) { + for i := 0; i < b.N; i++ { + Sin(complex(2.5, 3.5)) + } +} +func BenchmarkSinh(b *testing.B) { + for i := 0; i < b.N; i++ { + Sinh(complex(2.5, 3.5)) + } +} +func BenchmarkSqrt(b *testing.B) { + for i := 0; i < b.N; i++ { + Sqrt(complex(2.5, 3.5)) + } +} +func BenchmarkTan(b *testing.B) { + for i := 0; i < b.N; i++ { + Tan(complex(2.5, 3.5)) + } +} +func BenchmarkTanh(b *testing.B) { + for i := 0; i < b.N; i++ { + Tanh(complex(2.5, 3.5)) + } +} |