mirror of
https://github.com/autc04/Retro68.git
synced 2024-12-12 11:29:30 +00:00
2993 lines
64 KiB
Go
2993 lines
64 KiB
Go
// Copyright 2009 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package math_test
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import (
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"fmt"
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. "math"
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"testing"
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)
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var vf = []float64{
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4.9790119248836735e+00,
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7.7388724745781045e+00,
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-2.7688005719200159e-01,
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-5.0106036182710749e+00,
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9.6362937071984173e+00,
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2.9263772392439646e+00,
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5.2290834314593066e+00,
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2.7279399104360102e+00,
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1.8253080916808550e+00,
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-8.6859247685756013e+00,
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}
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// The expected results below were computed by the high precision calculators
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// at http://keisan.casio.com/. More exact input values (array vf[], above)
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// were obtained by printing them with "%.26f". The answers were calculated
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// to 26 digits (by using the "Digit number" drop-down control of each
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// calculator).
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var acos = []float64{
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1.0496193546107222142571536e+00,
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6.8584012813664425171660692e-01,
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1.5984878714577160325521819e+00,
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2.0956199361475859327461799e+00,
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2.7053008467824138592616927e-01,
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1.2738121680361776018155625e+00,
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1.0205369421140629186287407e+00,
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1.2945003481781246062157835e+00,
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1.3872364345374451433846657e+00,
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2.6231510803970463967294145e+00,
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}
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var acosh = []float64{
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2.4743347004159012494457618e+00,
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2.8576385344292769649802701e+00,
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7.2796961502981066190593175e-01,
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2.4796794418831451156471977e+00,
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3.0552020742306061857212962e+00,
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2.044238592688586588942468e+00,
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2.5158701513104513595766636e+00,
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1.99050839282411638174299e+00,
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1.6988625798424034227205445e+00,
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2.9611454842470387925531875e+00,
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}
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var asin = []float64{
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5.2117697218417440497416805e-01,
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8.8495619865825236751471477e-01,
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-02.769154466281941332086016e-02,
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-5.2482360935268931351485822e-01,
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1.3002662421166552333051524e+00,
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2.9698415875871901741575922e-01,
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5.5025938468083370060258102e-01,
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2.7629597861677201301553823e-01,
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1.83559892257451475846656e-01,
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-1.0523547536021497774980928e+00,
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}
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var asinh = []float64{
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2.3083139124923523427628243e+00,
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2.743551594301593620039021e+00,
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-2.7345908534880091229413487e-01,
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-2.3145157644718338650499085e+00,
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2.9613652154015058521951083e+00,
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1.7949041616585821933067568e+00,
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2.3564032905983506405561554e+00,
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1.7287118790768438878045346e+00,
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1.3626658083714826013073193e+00,
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-2.8581483626513914445234004e+00,
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}
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var atan = []float64{
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1.372590262129621651920085e+00,
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1.442290609645298083020664e+00,
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-2.7011324359471758245192595e-01,
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-1.3738077684543379452781531e+00,
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1.4673921193587666049154681e+00,
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1.2415173565870168649117764e+00,
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1.3818396865615168979966498e+00,
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1.2194305844639670701091426e+00,
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1.0696031952318783760193244e+00,
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-1.4561721938838084990898679e+00,
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}
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var atanh = []float64{
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5.4651163712251938116878204e-01,
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1.0299474112843111224914709e+00,
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-2.7695084420740135145234906e-02,
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-5.5072096119207195480202529e-01,
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1.9943940993171843235906642e+00,
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3.01448604578089708203017e-01,
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5.8033427206942188834370595e-01,
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2.7987997499441511013958297e-01,
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1.8459947964298794318714228e-01,
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-1.3273186910532645867272502e+00,
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}
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var atan2 = []float64{
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1.1088291730037004444527075e+00,
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9.1218183188715804018797795e-01,
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1.5984772603216203736068915e+00,
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2.0352918654092086637227327e+00,
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8.0391819139044720267356014e-01,
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1.2861075249894661588866752e+00,
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1.0889904479131695712182587e+00,
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1.3044821793397925293797357e+00,
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1.3902530903455392306872261e+00,
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2.2859857424479142655411058e+00,
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}
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var cbrt = []float64{
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1.7075799841925094446722675e+00,
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1.9779982212970353936691498e+00,
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-6.5177429017779910853339447e-01,
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-1.7111838886544019873338113e+00,
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2.1279920909827937423960472e+00,
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1.4303536770460741452312367e+00,
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1.7357021059106154902341052e+00,
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1.3972633462554328350552916e+00,
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1.2221149580905388454977636e+00,
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-2.0556003730500069110343596e+00,
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}
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var ceil = []float64{
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5.0000000000000000e+00,
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8.0000000000000000e+00,
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0.0000000000000000e+00,
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-5.0000000000000000e+00,
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1.0000000000000000e+01,
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3.0000000000000000e+00,
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6.0000000000000000e+00,
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3.0000000000000000e+00,
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2.0000000000000000e+00,
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-8.0000000000000000e+00,
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}
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var copysign = []float64{
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-4.9790119248836735e+00,
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-7.7388724745781045e+00,
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-2.7688005719200159e-01,
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-5.0106036182710749e+00,
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-9.6362937071984173e+00,
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-2.9263772392439646e+00,
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-5.2290834314593066e+00,
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-2.7279399104360102e+00,
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-1.8253080916808550e+00,
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-8.6859247685756013e+00,
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}
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var cos = []float64{
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2.634752140995199110787593e-01,
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1.148551260848219865642039e-01,
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9.6191297325640768154550453e-01,
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2.938141150061714816890637e-01,
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-9.777138189897924126294461e-01,
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-9.7693041344303219127199518e-01,
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4.940088096948647263961162e-01,
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-9.1565869021018925545016502e-01,
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-2.517729313893103197176091e-01,
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-7.39241351595676573201918e-01,
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}
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// Results for 100000 * Pi + vf[i]
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var cosLarge = []float64{
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2.634752141185559426744e-01,
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1.14855126055543100712e-01,
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9.61912973266488928113e-01,
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2.9381411499556122552e-01,
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-9.777138189880161924641e-01,
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-9.76930413445147608049e-01,
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4.940088097314976789841e-01,
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-9.15658690217517835002e-01,
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-2.51772931436786954751e-01,
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-7.3924135157173099849e-01,
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}
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var cosh = []float64{
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7.2668796942212842775517446e+01,
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1.1479413465659254502011135e+03,
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1.0385767908766418550935495e+00,
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7.5000957789658051428857788e+01,
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7.655246669605357888468613e+03,
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9.3567491758321272072888257e+00,
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9.331351599270605471131735e+01,
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7.6833430994624643209296404e+00,
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3.1829371625150718153881164e+00,
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2.9595059261916188501640911e+03,
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}
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var erf = []float64{
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5.1865354817738701906913566e-01,
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7.2623875834137295116929844e-01,
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-3.123458688281309990629839e-02,
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-5.2143121110253302920437013e-01,
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8.2704742671312902508629582e-01,
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3.2101767558376376743993945e-01,
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5.403990312223245516066252e-01,
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3.0034702916738588551174831e-01,
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2.0369924417882241241559589e-01,
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-7.8069386968009226729944677e-01,
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}
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var erfc = []float64{
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4.8134645182261298093086434e-01,
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2.7376124165862704883070156e-01,
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1.0312345868828130999062984e+00,
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1.5214312111025330292043701e+00,
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1.7295257328687097491370418e-01,
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6.7898232441623623256006055e-01,
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4.596009687776754483933748e-01,
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6.9965297083261411448825169e-01,
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7.9630075582117758758440411e-01,
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1.7806938696800922672994468e+00,
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}
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var exp = []float64{
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1.4533071302642137507696589e+02,
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2.2958822575694449002537581e+03,
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7.5814542574851666582042306e-01,
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6.6668778421791005061482264e-03,
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1.5310493273896033740861206e+04,
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1.8659907517999328638667732e+01,
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1.8662167355098714543942057e+02,
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1.5301332413189378961665788e+01,
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6.2047063430646876349125085e+00,
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1.6894712385826521111610438e-04,
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}
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var expm1 = []float64{
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5.105047796122957327384770212e-02,
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8.046199708567344080562675439e-02,
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-2.764970978891639815187418703e-03,
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-4.8871434888875355394330300273e-02,
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1.0115864277221467777117227494e-01,
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2.969616407795910726014621657e-02,
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5.368214487944892300914037972e-02,
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2.765488851131274068067445335e-02,
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1.842068661871398836913874273e-02,
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-8.3193870863553801814961137573e-02,
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}
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var exp2 = []float64{
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3.1537839463286288034313104e+01,
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2.1361549283756232296144849e+02,
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8.2537402562185562902577219e-01,
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3.1021158628740294833424229e-02,
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7.9581744110252191462569661e+02,
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7.6019905892596359262696423e+00,
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3.7506882048388096973183084e+01,
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6.6250893439173561733216375e+00,
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3.5438267900243941544605339e+00,
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2.4281533133513300984289196e-03,
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}
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var fabs = []float64{
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4.9790119248836735e+00,
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7.7388724745781045e+00,
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2.7688005719200159e-01,
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5.0106036182710749e+00,
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9.6362937071984173e+00,
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2.9263772392439646e+00,
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5.2290834314593066e+00,
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2.7279399104360102e+00,
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1.8253080916808550e+00,
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8.6859247685756013e+00,
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}
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var fdim = []float64{
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4.9790119248836735e+00,
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7.7388724745781045e+00,
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0.0000000000000000e+00,
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0.0000000000000000e+00,
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9.6362937071984173e+00,
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2.9263772392439646e+00,
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5.2290834314593066e+00,
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2.7279399104360102e+00,
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1.8253080916808550e+00,
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0.0000000000000000e+00,
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}
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var floor = []float64{
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4.0000000000000000e+00,
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7.0000000000000000e+00,
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-1.0000000000000000e+00,
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-6.0000000000000000e+00,
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9.0000000000000000e+00,
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2.0000000000000000e+00,
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5.0000000000000000e+00,
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2.0000000000000000e+00,
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1.0000000000000000e+00,
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-9.0000000000000000e+00,
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}
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var fmod = []float64{
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4.197615023265299782906368e-02,
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2.261127525421895434476482e+00,
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3.231794108794261433104108e-02,
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4.989396381728925078391512e+00,
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3.637062928015826201999516e-01,
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1.220868282268106064236690e+00,
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4.770916568540693347699744e+00,
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1.816180268691969246219742e+00,
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8.734595415957246977711748e-01,
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1.314075231424398637614104e+00,
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}
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type fi struct {
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f float64
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i int
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}
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var frexp = []fi{
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{6.2237649061045918750e-01, 3},
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{9.6735905932226306250e-01, 3},
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{-5.5376011438400318000e-01, -1},
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{-6.2632545228388436250e-01, 3},
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{6.02268356699901081250e-01, 4},
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{7.3159430981099115000e-01, 2},
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{6.5363542893241332500e-01, 3},
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{6.8198497760900255000e-01, 2},
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{9.1265404584042750000e-01, 1},
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{-5.4287029803597508250e-01, 4},
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}
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var gamma = []float64{
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2.3254348370739963835386613898e+01,
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2.991153837155317076427529816e+03,
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-4.561154336726758060575129109e+00,
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7.719403468842639065959210984e-01,
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1.6111876618855418534325755566e+05,
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1.8706575145216421164173224946e+00,
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3.4082787447257502836734201635e+01,
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1.579733951448952054898583387e+00,
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9.3834586598354592860187267089e-01,
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-2.093995902923148389186189429e-05,
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}
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var j0 = []float64{
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-1.8444682230601672018219338e-01,
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2.27353668906331975435892e-01,
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9.809259936157051116270273e-01,
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-1.741170131426226587841181e-01,
|
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-2.1389448451144143352039069e-01,
|
|
-2.340905848928038763337414e-01,
|
|
-1.0029099691890912094586326e-01,
|
|
-1.5466726714884328135358907e-01,
|
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3.252650187653420388714693e-01,
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-8.72218484409407250005360235e-03,
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}
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var j1 = []float64{
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-3.251526395295203422162967e-01,
|
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1.893581711430515718062564e-01,
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-1.3711761352467242914491514e-01,
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3.287486536269617297529617e-01,
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|
1.3133899188830978473849215e-01,
|
|
3.660243417832986825301766e-01,
|
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-3.4436769271848174665420672e-01,
|
|
4.329481396640773768835036e-01,
|
|
5.8181350531954794639333955e-01,
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-2.7030574577733036112996607e-01,
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}
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var j2 = []float64{
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5.3837518920137802565192769e-02,
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-1.7841678003393207281244667e-01,
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9.521746934916464142495821e-03,
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4.28958355470987397983072e-02,
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2.4115371837854494725492872e-01,
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4.842458532394520316844449e-01,
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-3.142145220618633390125946e-02,
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4.720849184745124761189957e-01,
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3.122312022520957042957497e-01,
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7.096213118930231185707277e-02,
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}
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var jM3 = []float64{
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-3.684042080996403091021151e-01,
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2.8157665936340887268092661e-01,
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4.401005480841948348343589e-04,
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3.629926999056814081597135e-01,
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3.123672198825455192489266e-02,
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-2.958805510589623607540455e-01,
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-3.2033177696533233403289416e-01,
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-2.592737332129663376736604e-01,
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-1.0241334641061485092351251e-01,
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-2.3762660886100206491674503e-01,
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}
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var lgamma = []fi{
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{3.146492141244545774319734e+00, 1},
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{8.003414490659126375852113e+00, 1},
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{1.517575735509779707488106e+00, -1},
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{-2.588480028182145853558748e-01, 1},
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{1.1989897050205555002007985e+01, 1},
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{6.262899811091257519386906e-01, 1},
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{3.5287924899091566764846037e+00, 1},
|
|
{4.5725644770161182299423372e-01, 1},
|
|
{-6.363667087767961257654854e-02, 1},
|
|
{-1.077385130910300066425564e+01, -1},
|
|
}
|
|
var log = []float64{
|
|
1.605231462693062999102599e+00,
|
|
2.0462560018708770653153909e+00,
|
|
-1.2841708730962657801275038e+00,
|
|
1.6115563905281545116286206e+00,
|
|
2.2655365644872016636317461e+00,
|
|
1.0737652208918379856272735e+00,
|
|
1.6542360106073546632707956e+00,
|
|
1.0035467127723465801264487e+00,
|
|
6.0174879014578057187016475e-01,
|
|
2.161703872847352815363655e+00,
|
|
}
|
|
var logb = []float64{
|
|
2.0000000000000000e+00,
|
|
2.0000000000000000e+00,
|
|
-2.0000000000000000e+00,
|
|
2.0000000000000000e+00,
|
|
3.0000000000000000e+00,
|
|
1.0000000000000000e+00,
|
|
2.0000000000000000e+00,
|
|
1.0000000000000000e+00,
|
|
0.0000000000000000e+00,
|
|
3.0000000000000000e+00,
|
|
}
|
|
var log10 = []float64{
|
|
6.9714316642508290997617083e-01,
|
|
8.886776901739320576279124e-01,
|
|
-5.5770832400658929815908236e-01,
|
|
6.998900476822994346229723e-01,
|
|
9.8391002850684232013281033e-01,
|
|
4.6633031029295153334285302e-01,
|
|
7.1842557117242328821552533e-01,
|
|
4.3583479968917773161304553e-01,
|
|
2.6133617905227038228626834e-01,
|
|
9.3881606348649405716214241e-01,
|
|
}
|
|
var log1p = []float64{
|
|
4.8590257759797794104158205e-02,
|
|
7.4540265965225865330849141e-02,
|
|
-2.7726407903942672823234024e-03,
|
|
-5.1404917651627649094953380e-02,
|
|
9.1998280672258624681335010e-02,
|
|
2.8843762576593352865894824e-02,
|
|
5.0969534581863707268992645e-02,
|
|
2.6913947602193238458458594e-02,
|
|
1.8088493239630770262045333e-02,
|
|
-9.0865245631588989681559268e-02,
|
|
}
|
|
var log2 = []float64{
|
|
2.3158594707062190618898251e+00,
|
|
2.9521233862883917703341018e+00,
|
|
-1.8526669502700329984917062e+00,
|
|
2.3249844127278861543568029e+00,
|
|
3.268478366538305087466309e+00,
|
|
1.5491157592596970278166492e+00,
|
|
2.3865580889631732407886495e+00,
|
|
1.447811865817085365540347e+00,
|
|
8.6813999540425116282815557e-01,
|
|
3.118679457227342224364709e+00,
|
|
}
|
|
var modf = [][2]float64{
|
|
{4.0000000000000000e+00, 9.7901192488367350108546816e-01},
|
|
{7.0000000000000000e+00, 7.3887247457810456552351752e-01},
|
|
{0.0000000000000000e+00, -2.7688005719200159404635997e-01},
|
|
{-5.0000000000000000e+00, -1.060361827107492160848778e-02},
|
|
{9.0000000000000000e+00, 6.3629370719841737980004837e-01},
|
|
{2.0000000000000000e+00, 9.2637723924396464525443662e-01},
|
|
{5.0000000000000000e+00, 2.2908343145930665230025625e-01},
|
|
{2.0000000000000000e+00, 7.2793991043601025126008608e-01},
|
|
{1.0000000000000000e+00, 8.2530809168085506044576505e-01},
|
|
{-8.0000000000000000e+00, -6.8592476857560136238589621e-01},
|
|
}
|
|
var nextafter32 = []float32{
|
|
4.979012489318848e+00,
|
|
7.738873004913330e+00,
|
|
-2.768800258636475e-01,
|
|
-5.010602951049805e+00,
|
|
9.636294364929199e+00,
|
|
2.926377534866333e+00,
|
|
5.229084014892578e+00,
|
|
2.727940082550049e+00,
|
|
1.825308203697205e+00,
|
|
-8.685923576354980e+00,
|
|
}
|
|
var nextafter64 = []float64{
|
|
4.97901192488367438926388786e+00,
|
|
7.73887247457810545370193722e+00,
|
|
-2.7688005719200153853520874e-01,
|
|
-5.01060361827107403343006808e+00,
|
|
9.63629370719841915615688777e+00,
|
|
2.92637723924396508934364647e+00,
|
|
5.22908343145930754047867595e+00,
|
|
2.72793991043601069534929593e+00,
|
|
1.82530809168085528249036997e+00,
|
|
-8.68592476857559958602905681e+00,
|
|
}
|
|
var pow = []float64{
|
|
9.5282232631648411840742957e+04,
|
|
5.4811599352999901232411871e+07,
|
|
5.2859121715894396531132279e-01,
|
|
9.7587991957286474464259698e-06,
|
|
4.328064329346044846740467e+09,
|
|
8.4406761805034547437659092e+02,
|
|
1.6946633276191194947742146e+05,
|
|
5.3449040147551939075312879e+02,
|
|
6.688182138451414936380374e+01,
|
|
2.0609869004248742886827439e-09,
|
|
}
|
|
var remainder = []float64{
|
|
4.197615023265299782906368e-02,
|
|
2.261127525421895434476482e+00,
|
|
3.231794108794261433104108e-02,
|
|
-2.120723654214984321697556e-02,
|
|
3.637062928015826201999516e-01,
|
|
1.220868282268106064236690e+00,
|
|
-4.581668629186133046005125e-01,
|
|
-9.117596417440410050403443e-01,
|
|
8.734595415957246977711748e-01,
|
|
1.314075231424398637614104e+00,
|
|
}
|
|
var signbit = []bool{
|
|
false,
|
|
false,
|
|
true,
|
|
true,
|
|
false,
|
|
false,
|
|
false,
|
|
false,
|
|
false,
|
|
true,
|
|
}
|
|
var sin = []float64{
|
|
-9.6466616586009283766724726e-01,
|
|
9.9338225271646545763467022e-01,
|
|
-2.7335587039794393342449301e-01,
|
|
9.5586257685042792878173752e-01,
|
|
-2.099421066779969164496634e-01,
|
|
2.135578780799860532750616e-01,
|
|
-8.694568971167362743327708e-01,
|
|
4.019566681155577786649878e-01,
|
|
9.6778633541687993721617774e-01,
|
|
-6.734405869050344734943028e-01,
|
|
}
|
|
|
|
// Results for 100000 * Pi + vf[i]
|
|
var sinLarge = []float64{
|
|
-9.646661658548936063912e-01,
|
|
9.933822527198506903752e-01,
|
|
-2.7335587036246899796e-01,
|
|
9.55862576853689321268e-01,
|
|
-2.099421066862688873691e-01,
|
|
2.13557878070308981163e-01,
|
|
-8.694568970959221300497e-01,
|
|
4.01956668098863248917e-01,
|
|
9.67786335404528727927e-01,
|
|
-6.7344058693131973066e-01,
|
|
}
|
|
var sinh = []float64{
|
|
7.2661916084208532301448439e+01,
|
|
1.1479409110035194500526446e+03,
|
|
-2.8043136512812518927312641e-01,
|
|
-7.499429091181587232835164e+01,
|
|
7.6552466042906758523925934e+03,
|
|
9.3031583421672014313789064e+00,
|
|
9.330815755828109072810322e+01,
|
|
7.6179893137269146407361477e+00,
|
|
3.021769180549615819524392e+00,
|
|
-2.95950575724449499189888e+03,
|
|
}
|
|
var sqrt = []float64{
|
|
2.2313699659365484748756904e+00,
|
|
2.7818829009464263511285458e+00,
|
|
5.2619393496314796848143251e-01,
|
|
2.2384377628763938724244104e+00,
|
|
3.1042380236055381099288487e+00,
|
|
1.7106657298385224403917771e+00,
|
|
2.286718922705479046148059e+00,
|
|
1.6516476350711159636222979e+00,
|
|
1.3510396336454586262419247e+00,
|
|
2.9471892997524949215723329e+00,
|
|
}
|
|
var tan = []float64{
|
|
-3.661316565040227801781974e+00,
|
|
8.64900232648597589369854e+00,
|
|
-2.8417941955033612725238097e-01,
|
|
3.253290185974728640827156e+00,
|
|
2.147275640380293804770778e-01,
|
|
-2.18600910711067004921551e-01,
|
|
-1.760002817872367935518928e+00,
|
|
-4.389808914752818126249079e-01,
|
|
-3.843885560201130679995041e+00,
|
|
9.10988793377685105753416e-01,
|
|
}
|
|
|
|
// Results for 100000 * Pi + vf[i]
|
|
var tanLarge = []float64{
|
|
-3.66131656475596512705e+00,
|
|
8.6490023287202547927e+00,
|
|
-2.841794195104782406e-01,
|
|
3.2532901861033120983e+00,
|
|
2.14727564046880001365e-01,
|
|
-2.18600910700688062874e-01,
|
|
-1.760002817699722747043e+00,
|
|
-4.38980891453536115952e-01,
|
|
-3.84388555942723509071e+00,
|
|
9.1098879344275101051e-01,
|
|
}
|
|
var tanh = []float64{
|
|
9.9990531206936338549262119e-01,
|
|
9.9999962057085294197613294e-01,
|
|
-2.7001505097318677233756845e-01,
|
|
-9.9991110943061718603541401e-01,
|
|
9.9999999146798465745022007e-01,
|
|
9.9427249436125236705001048e-01,
|
|
9.9994257600983138572705076e-01,
|
|
9.9149409509772875982054701e-01,
|
|
9.4936501296239685514466577e-01,
|
|
-9.9999994291374030946055701e-01,
|
|
}
|
|
var trunc = []float64{
|
|
4.0000000000000000e+00,
|
|
7.0000000000000000e+00,
|
|
-0.0000000000000000e+00,
|
|
-5.0000000000000000e+00,
|
|
9.0000000000000000e+00,
|
|
2.0000000000000000e+00,
|
|
5.0000000000000000e+00,
|
|
2.0000000000000000e+00,
|
|
1.0000000000000000e+00,
|
|
-8.0000000000000000e+00,
|
|
}
|
|
var y0 = []float64{
|
|
-3.053399153780788357534855e-01,
|
|
1.7437227649515231515503649e-01,
|
|
-8.6221781263678836910392572e-01,
|
|
-3.100664880987498407872839e-01,
|
|
1.422200649300982280645377e-01,
|
|
4.000004067997901144239363e-01,
|
|
-3.3340749753099352392332536e-01,
|
|
4.5399790746668954555205502e-01,
|
|
4.8290004112497761007536522e-01,
|
|
2.7036697826604756229601611e-01,
|
|
}
|
|
var y1 = []float64{
|
|
0.15494213737457922210218611,
|
|
-0.2165955142081145245075746,
|
|
-2.4644949631241895201032829,
|
|
0.1442740489541836405154505,
|
|
0.2215379960518984777080163,
|
|
0.3038800915160754150565448,
|
|
0.0691107642452362383808547,
|
|
0.2380116417809914424860165,
|
|
-0.20849492979459761009678934,
|
|
0.0242503179793232308250804,
|
|
}
|
|
var y2 = []float64{
|
|
0.3675780219390303613394936,
|
|
-0.23034826393250119879267257,
|
|
-16.939677983817727205631397,
|
|
0.367653980523052152867791,
|
|
-0.0962401471767804440353136,
|
|
-0.1923169356184851105200523,
|
|
0.35984072054267882391843766,
|
|
-0.2794987252299739821654982,
|
|
-0.7113490692587462579757954,
|
|
-0.2647831587821263302087457,
|
|
}
|
|
var yM3 = []float64{
|
|
-0.14035984421094849100895341,
|
|
-0.097535139617792072703973,
|
|
242.25775994555580176377379,
|
|
-0.1492267014802818619511046,
|
|
0.26148702629155918694500469,
|
|
0.56675383593895176530394248,
|
|
-0.206150264009006981070575,
|
|
0.64784284687568332737963658,
|
|
1.3503631555901938037008443,
|
|
0.1461869756579956803341844,
|
|
}
|
|
|
|
// arguments and expected results for special cases
|
|
var vfacosSC = []float64{
|
|
-Pi,
|
|
1,
|
|
Pi,
|
|
NaN(),
|
|
}
|
|
var acosSC = []float64{
|
|
NaN(),
|
|
0,
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
|
|
var vfacoshSC = []float64{
|
|
Inf(-1),
|
|
0.5,
|
|
1,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var acoshSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfasinSC = []float64{
|
|
-Pi,
|
|
Copysign(0, -1),
|
|
0,
|
|
Pi,
|
|
NaN(),
|
|
}
|
|
var asinSC = []float64{
|
|
NaN(),
|
|
Copysign(0, -1),
|
|
0,
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
|
|
var vfasinhSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var asinhSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfatanSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var atanSC = []float64{
|
|
-Pi / 2,
|
|
Copysign(0, -1),
|
|
0,
|
|
Pi / 2,
|
|
NaN(),
|
|
}
|
|
|
|
var vfatanhSC = []float64{
|
|
Inf(-1),
|
|
-Pi,
|
|
-1,
|
|
Copysign(0, -1),
|
|
0,
|
|
1,
|
|
Pi,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var atanhSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
var vfatan2SC = [][2]float64{
|
|
{Inf(-1), Inf(-1)},
|
|
{Inf(-1), -Pi},
|
|
{Inf(-1), 0},
|
|
{Inf(-1), +Pi},
|
|
{Inf(-1), Inf(1)},
|
|
{Inf(-1), NaN()},
|
|
{-Pi, Inf(-1)},
|
|
{-Pi, 0},
|
|
{-Pi, Inf(1)},
|
|
{-Pi, NaN()},
|
|
{Copysign(0, -1), Inf(-1)},
|
|
{Copysign(0, -1), -Pi},
|
|
{Copysign(0, -1), Copysign(0, -1)},
|
|
{Copysign(0, -1), 0},
|
|
{Copysign(0, -1), +Pi},
|
|
{Copysign(0, -1), Inf(1)},
|
|
{Copysign(0, -1), NaN()},
|
|
{0, Inf(-1)},
|
|
{0, -Pi},
|
|
{0, Copysign(0, -1)},
|
|
{0, 0},
|
|
{0, +Pi},
|
|
{0, Inf(1)},
|
|
{0, NaN()},
|
|
{+Pi, Inf(-1)},
|
|
{+Pi, 0},
|
|
{+Pi, Inf(1)},
|
|
{+Pi, NaN()},
|
|
{Inf(1), Inf(-1)},
|
|
{Inf(1), -Pi},
|
|
{Inf(1), 0},
|
|
{Inf(1), +Pi},
|
|
{Inf(1), Inf(1)},
|
|
{Inf(1), NaN()},
|
|
{NaN(), NaN()},
|
|
}
|
|
var atan2SC = []float64{
|
|
-3 * Pi / 4, // atan2(-Inf, -Inf)
|
|
-Pi / 2, // atan2(-Inf, -Pi)
|
|
-Pi / 2, // atan2(-Inf, +0)
|
|
-Pi / 2, // atan2(-Inf, +Pi)
|
|
-Pi / 4, // atan2(-Inf, +Inf)
|
|
NaN(), // atan2(-Inf, NaN)
|
|
-Pi, // atan2(-Pi, -Inf)
|
|
-Pi / 2, // atan2(-Pi, +0)
|
|
Copysign(0, -1), // atan2(-Pi, Inf)
|
|
NaN(), // atan2(-Pi, NaN)
|
|
-Pi, // atan2(-0, -Inf)
|
|
-Pi, // atan2(-0, -Pi)
|
|
-Pi, // atan2(-0, -0)
|
|
Copysign(0, -1), // atan2(-0, +0)
|
|
Copysign(0, -1), // atan2(-0, +Pi)
|
|
Copysign(0, -1), // atan2(-0, +Inf)
|
|
NaN(), // atan2(-0, NaN)
|
|
Pi, // atan2(+0, -Inf)
|
|
Pi, // atan2(+0, -Pi)
|
|
Pi, // atan2(+0, -0)
|
|
0, // atan2(+0, +0)
|
|
0, // atan2(+0, +Pi)
|
|
0, // atan2(+0, +Inf)
|
|
NaN(), // atan2(+0, NaN)
|
|
Pi, // atan2(+Pi, -Inf)
|
|
Pi / 2, // atan2(+Pi, +0)
|
|
0, // atan2(+Pi, +Inf)
|
|
NaN(), // atan2(+Pi, NaN)
|
|
3 * Pi / 4, // atan2(+Inf, -Inf)
|
|
Pi / 2, // atan2(+Inf, -Pi)
|
|
Pi / 2, // atan2(+Inf, +0)
|
|
Pi / 2, // atan2(+Inf, +Pi)
|
|
Pi / 4, // atan2(+Inf, +Inf)
|
|
NaN(), // atan2(+Inf, NaN)
|
|
NaN(), // atan2(NaN, NaN)
|
|
}
|
|
|
|
var vfcbrtSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var cbrtSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfceilSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var ceilSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfcopysignSC = []float64{
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var copysignSC = []float64{
|
|
Inf(-1),
|
|
Inf(-1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfcosSC = []float64{
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var cosSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
|
|
var vfcoshSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var coshSC = []float64{
|
|
Inf(1),
|
|
1,
|
|
1,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vferfSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var erfSC = []float64{
|
|
-1,
|
|
Copysign(0, -1),
|
|
0,
|
|
1,
|
|
NaN(),
|
|
}
|
|
|
|
var vferfcSC = []float64{
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var erfcSC = []float64{
|
|
2,
|
|
0,
|
|
NaN(),
|
|
}
|
|
|
|
var vfexpSC = []float64{
|
|
Inf(-1),
|
|
-2000,
|
|
2000,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var expSC = []float64{
|
|
0,
|
|
0,
|
|
Inf(1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfexpm1SC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var expm1SC = []float64{
|
|
-1,
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vffabsSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var fabsSC = []float64{
|
|
Inf(1),
|
|
0,
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vffdimSC = [][2]float64{
|
|
{Inf(-1), Inf(-1)},
|
|
{Inf(-1), Inf(1)},
|
|
{Inf(-1), NaN()},
|
|
{Copysign(0, -1), Copysign(0, -1)},
|
|
{Copysign(0, -1), 0},
|
|
{0, Copysign(0, -1)},
|
|
{0, 0},
|
|
{Inf(1), Inf(-1)},
|
|
{Inf(1), Inf(1)},
|
|
{Inf(1), NaN()},
|
|
{NaN(), Inf(-1)},
|
|
{NaN(), Copysign(0, -1)},
|
|
{NaN(), 0},
|
|
{NaN(), Inf(1)},
|
|
{NaN(), NaN()},
|
|
}
|
|
var fdimSC = []float64{
|
|
NaN(),
|
|
0,
|
|
NaN(),
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
var fmaxSC = []float64{
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
Copysign(0, -1),
|
|
0,
|
|
0,
|
|
0,
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(1),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var fminSC = []float64{
|
|
Inf(-1),
|
|
Inf(-1),
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
Copysign(0, -1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
Inf(-1),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
|
|
var vffmodSC = [][2]float64{
|
|
{Inf(-1), Inf(-1)},
|
|
{Inf(-1), -Pi},
|
|
{Inf(-1), 0},
|
|
{Inf(-1), Pi},
|
|
{Inf(-1), Inf(1)},
|
|
{Inf(-1), NaN()},
|
|
{-Pi, Inf(-1)},
|
|
{-Pi, 0},
|
|
{-Pi, Inf(1)},
|
|
{-Pi, NaN()},
|
|
{Copysign(0, -1), Inf(-1)},
|
|
{Copysign(0, -1), 0},
|
|
{Copysign(0, -1), Inf(1)},
|
|
{Copysign(0, -1), NaN()},
|
|
{0, Inf(-1)},
|
|
{0, 0},
|
|
{0, Inf(1)},
|
|
{0, NaN()},
|
|
{Pi, Inf(-1)},
|
|
{Pi, 0},
|
|
{Pi, Inf(1)},
|
|
{Pi, NaN()},
|
|
{Inf(1), Inf(-1)},
|
|
{Inf(1), -Pi},
|
|
{Inf(1), 0},
|
|
{Inf(1), Pi},
|
|
{Inf(1), Inf(1)},
|
|
{Inf(1), NaN()},
|
|
{NaN(), Inf(-1)},
|
|
{NaN(), -Pi},
|
|
{NaN(), 0},
|
|
{NaN(), Pi},
|
|
{NaN(), Inf(1)},
|
|
{NaN(), NaN()},
|
|
}
|
|
var fmodSC = []float64{
|
|
NaN(), // fmod(-Inf, -Inf)
|
|
NaN(), // fmod(-Inf, -Pi)
|
|
NaN(), // fmod(-Inf, 0)
|
|
NaN(), // fmod(-Inf, Pi)
|
|
NaN(), // fmod(-Inf, +Inf)
|
|
NaN(), // fmod(-Inf, NaN)
|
|
-Pi, // fmod(-Pi, -Inf)
|
|
NaN(), // fmod(-Pi, 0)
|
|
-Pi, // fmod(-Pi, +Inf)
|
|
NaN(), // fmod(-Pi, NaN)
|
|
Copysign(0, -1), // fmod(-0, -Inf)
|
|
NaN(), // fmod(-0, 0)
|
|
Copysign(0, -1), // fmod(-0, Inf)
|
|
NaN(), // fmod(-0, NaN)
|
|
0, // fmod(0, -Inf)
|
|
NaN(), // fmod(0, 0)
|
|
0, // fmod(0, +Inf)
|
|
NaN(), // fmod(0, NaN)
|
|
Pi, // fmod(Pi, -Inf)
|
|
NaN(), // fmod(Pi, 0)
|
|
Pi, // fmod(Pi, +Inf)
|
|
NaN(), // fmod(Pi, NaN)
|
|
NaN(), // fmod(+Inf, -Inf)
|
|
NaN(), // fmod(+Inf, -Pi)
|
|
NaN(), // fmod(+Inf, 0)
|
|
NaN(), // fmod(+Inf, Pi)
|
|
NaN(), // fmod(+Inf, +Inf)
|
|
NaN(), // fmod(+Inf, NaN)
|
|
NaN(), // fmod(NaN, -Inf)
|
|
NaN(), // fmod(NaN, -Pi)
|
|
NaN(), // fmod(NaN, 0)
|
|
NaN(), // fmod(NaN, Pi)
|
|
NaN(), // fmod(NaN, +Inf)
|
|
NaN(), // fmod(NaN, NaN)
|
|
}
|
|
|
|
var vffrexpSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var frexpSC = []fi{
|
|
{Inf(-1), 0},
|
|
{Copysign(0, -1), 0},
|
|
{0, 0},
|
|
{Inf(1), 0},
|
|
{NaN(), 0},
|
|
}
|
|
|
|
var vfgammaSC = []float64{
|
|
Inf(-1),
|
|
-3,
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var gammaSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
Inf(-1),
|
|
Inf(1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfhypotSC = [][2]float64{
|
|
{Inf(-1), Inf(-1)},
|
|
{Inf(-1), 0},
|
|
{Inf(-1), Inf(1)},
|
|
{Inf(-1), NaN()},
|
|
{Copysign(0, -1), Copysign(0, -1)},
|
|
{Copysign(0, -1), 0},
|
|
{0, Copysign(0, -1)},
|
|
{0, 0}, // +0, +0
|
|
{0, Inf(-1)},
|
|
{0, Inf(1)},
|
|
{0, NaN()},
|
|
{Inf(1), Inf(-1)},
|
|
{Inf(1), 0},
|
|
{Inf(1), Inf(1)},
|
|
{Inf(1), NaN()},
|
|
{NaN(), Inf(-1)},
|
|
{NaN(), 0},
|
|
{NaN(), Inf(1)},
|
|
{NaN(), NaN()},
|
|
}
|
|
var hypotSC = []float64{
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(1),
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
Inf(1),
|
|
Inf(1),
|
|
NaN(),
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(1),
|
|
NaN(),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfilogbSC = []float64{
|
|
Inf(-1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var ilogbSC = []int{
|
|
MaxInt32,
|
|
MinInt32,
|
|
MaxInt32,
|
|
MaxInt32,
|
|
}
|
|
|
|
var vfj0SC = []float64{
|
|
Inf(-1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var j0SC = []float64{
|
|
0,
|
|
1,
|
|
0,
|
|
NaN(),
|
|
}
|
|
var j1SC = []float64{
|
|
0,
|
|
0,
|
|
0,
|
|
NaN(),
|
|
}
|
|
var j2SC = []float64{
|
|
0,
|
|
0,
|
|
0,
|
|
NaN(),
|
|
}
|
|
var jM3SC = []float64{
|
|
0,
|
|
0,
|
|
0,
|
|
NaN(),
|
|
}
|
|
|
|
var vfldexpSC = []fi{
|
|
{0, 0},
|
|
{0, -1075},
|
|
{0, 1024},
|
|
{Copysign(0, -1), 0},
|
|
{Copysign(0, -1), -1075},
|
|
{Copysign(0, -1), 1024},
|
|
{Inf(1), 0},
|
|
{Inf(1), -1024},
|
|
{Inf(-1), 0},
|
|
{Inf(-1), -1024},
|
|
{NaN(), -1024},
|
|
}
|
|
var ldexpSC = []float64{
|
|
0,
|
|
0,
|
|
0,
|
|
Copysign(0, -1),
|
|
Copysign(0, -1),
|
|
Copysign(0, -1),
|
|
Inf(1),
|
|
Inf(1),
|
|
Inf(-1),
|
|
Inf(-1),
|
|
NaN(),
|
|
}
|
|
|
|
var vflgammaSC = []float64{
|
|
Inf(-1),
|
|
-3,
|
|
0,
|
|
1,
|
|
2,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var lgammaSC = []fi{
|
|
{Inf(-1), 1},
|
|
{Inf(1), 1},
|
|
{Inf(1), 1},
|
|
{0, 1},
|
|
{0, 1},
|
|
{Inf(1), 1},
|
|
{NaN(), 1},
|
|
}
|
|
|
|
var vflogSC = []float64{
|
|
Inf(-1),
|
|
-Pi,
|
|
Copysign(0, -1),
|
|
0,
|
|
1,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var logSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
Inf(-1),
|
|
Inf(-1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vflogbSC = []float64{
|
|
Inf(-1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var logbSC = []float64{
|
|
Inf(1),
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vflog1pSC = []float64{
|
|
Inf(-1),
|
|
-Pi,
|
|
-1,
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var log1pSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfmodfSC = []float64{
|
|
Inf(-1),
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var modfSC = [][2]float64{
|
|
{Inf(-1), NaN()}, // [2]float64{Copysign(0, -1), Inf(-1)},
|
|
{Inf(1), NaN()}, // [2]float64{0, Inf(1)},
|
|
{NaN(), NaN()},
|
|
}
|
|
|
|
var vfnextafter32SC = [][2]float32{
|
|
{0, 0},
|
|
{0, float32(Copysign(0, -1))},
|
|
{0, -1},
|
|
{0, float32(NaN())},
|
|
{float32(Copysign(0, -1)), 1},
|
|
{float32(Copysign(0, -1)), 0},
|
|
{float32(Copysign(0, -1)), float32(Copysign(0, -1))},
|
|
{float32(Copysign(0, -1)), -1},
|
|
{float32(NaN()), 0},
|
|
{float32(NaN()), float32(NaN())},
|
|
}
|
|
var nextafter32SC = []float32{
|
|
0,
|
|
0,
|
|
-1.401298464e-45, // Float32frombits(0x80000001)
|
|
float32(NaN()),
|
|
1.401298464e-45, // Float32frombits(0x00000001)
|
|
float32(Copysign(0, -1)),
|
|
float32(Copysign(0, -1)),
|
|
-1.401298464e-45, // Float32frombits(0x80000001)
|
|
float32(NaN()),
|
|
float32(NaN()),
|
|
}
|
|
|
|
var vfnextafter64SC = [][2]float64{
|
|
{0, 0},
|
|
{0, Copysign(0, -1)},
|
|
{0, -1},
|
|
{0, NaN()},
|
|
{Copysign(0, -1), 1},
|
|
{Copysign(0, -1), 0},
|
|
{Copysign(0, -1), Copysign(0, -1)},
|
|
{Copysign(0, -1), -1},
|
|
{NaN(), 0},
|
|
{NaN(), NaN()},
|
|
}
|
|
var nextafter64SC = []float64{
|
|
0,
|
|
0,
|
|
-4.9406564584124654418e-324, // Float64frombits(0x8000000000000001)
|
|
NaN(),
|
|
4.9406564584124654418e-324, // Float64frombits(0x0000000000000001)
|
|
Copysign(0, -1),
|
|
Copysign(0, -1),
|
|
-4.9406564584124654418e-324, // Float64frombits(0x8000000000000001)
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
|
|
var vfpowSC = [][2]float64{
|
|
{Inf(-1), -Pi},
|
|
{Inf(-1), -3},
|
|
{Inf(-1), Copysign(0, -1)},
|
|
{Inf(-1), 0},
|
|
{Inf(-1), 1},
|
|
{Inf(-1), 3},
|
|
{Inf(-1), Pi},
|
|
{Inf(-1), NaN()},
|
|
|
|
{-Pi, Inf(-1)},
|
|
{-Pi, -Pi},
|
|
{-Pi, Copysign(0, -1)},
|
|
{-Pi, 0},
|
|
{-Pi, 1},
|
|
{-Pi, Pi},
|
|
{-Pi, Inf(1)},
|
|
{-Pi, NaN()},
|
|
|
|
{-1, Inf(-1)},
|
|
{-1, Inf(1)},
|
|
{-1, NaN()},
|
|
{-1 / 2, Inf(-1)},
|
|
{-1 / 2, Inf(1)},
|
|
{Copysign(0, -1), Inf(-1)},
|
|
{Copysign(0, -1), -Pi},
|
|
{Copysign(0, -1), -3},
|
|
{Copysign(0, -1), 3},
|
|
{Copysign(0, -1), Pi},
|
|
{Copysign(0, -1), Inf(1)},
|
|
|
|
{0, Inf(-1)},
|
|
{0, -Pi},
|
|
{0, -3},
|
|
{0, Copysign(0, -1)},
|
|
{0, 0},
|
|
{0, 3},
|
|
{0, Pi},
|
|
{0, Inf(1)},
|
|
{0, NaN()},
|
|
|
|
{1 / 2, Inf(-1)},
|
|
{1 / 2, Inf(1)},
|
|
{1, Inf(-1)},
|
|
{1, Inf(1)},
|
|
{1, NaN()},
|
|
|
|
{Pi, Inf(-1)},
|
|
{Pi, Copysign(0, -1)},
|
|
{Pi, 0},
|
|
{Pi, 1},
|
|
{Pi, Inf(1)},
|
|
{Pi, NaN()},
|
|
{Inf(1), -Pi},
|
|
{Inf(1), Copysign(0, -1)},
|
|
{Inf(1), 0},
|
|
{Inf(1), 1},
|
|
{Inf(1), Pi},
|
|
{Inf(1), NaN()},
|
|
{NaN(), -Pi},
|
|
{NaN(), Copysign(0, -1)},
|
|
{NaN(), 0},
|
|
{NaN(), 1},
|
|
{NaN(), Pi},
|
|
{NaN(), NaN()},
|
|
}
|
|
var powSC = []float64{
|
|
0, // pow(-Inf, -Pi)
|
|
Copysign(0, -1), // pow(-Inf, -3)
|
|
1, // pow(-Inf, -0)
|
|
1, // pow(-Inf, +0)
|
|
Inf(-1), // pow(-Inf, 1)
|
|
Inf(-1), // pow(-Inf, 3)
|
|
Inf(1), // pow(-Inf, Pi)
|
|
NaN(), // pow(-Inf, NaN)
|
|
0, // pow(-Pi, -Inf)
|
|
NaN(), // pow(-Pi, -Pi)
|
|
1, // pow(-Pi, -0)
|
|
1, // pow(-Pi, +0)
|
|
-Pi, // pow(-Pi, 1)
|
|
NaN(), // pow(-Pi, Pi)
|
|
Inf(1), // pow(-Pi, +Inf)
|
|
NaN(), // pow(-Pi, NaN)
|
|
1, // pow(-1, -Inf) IEEE 754-2008
|
|
1, // pow(-1, +Inf) IEEE 754-2008
|
|
NaN(), // pow(-1, NaN)
|
|
Inf(1), // pow(-1/2, -Inf)
|
|
0, // pow(-1/2, +Inf)
|
|
Inf(1), // pow(-0, -Inf)
|
|
Inf(1), // pow(-0, -Pi)
|
|
Inf(-1), // pow(-0, -3) IEEE 754-2008
|
|
Copysign(0, -1), // pow(-0, 3) IEEE 754-2008
|
|
0, // pow(-0, +Pi)
|
|
0, // pow(-0, +Inf)
|
|
Inf(1), // pow(+0, -Inf)
|
|
Inf(1), // pow(+0, -Pi)
|
|
Inf(1), // pow(+0, -3)
|
|
1, // pow(+0, -0)
|
|
1, // pow(+0, +0)
|
|
0, // pow(+0, 3)
|
|
0, // pow(+0, +Pi)
|
|
0, // pow(+0, +Inf)
|
|
NaN(), // pow(+0, NaN)
|
|
Inf(1), // pow(1/2, -Inf)
|
|
0, // pow(1/2, +Inf)
|
|
1, // pow(1, -Inf) IEEE 754-2008
|
|
1, // pow(1, +Inf) IEEE 754-2008
|
|
1, // pow(1, NaN) IEEE 754-2008
|
|
0, // pow(+Pi, -Inf)
|
|
1, // pow(+Pi, -0)
|
|
1, // pow(+Pi, +0)
|
|
Pi, // pow(+Pi, 1)
|
|
Inf(1), // pow(+Pi, +Inf)
|
|
NaN(), // pow(+Pi, NaN)
|
|
0, // pow(+Inf, -Pi)
|
|
1, // pow(+Inf, -0)
|
|
1, // pow(+Inf, +0)
|
|
Inf(1), // pow(+Inf, 1)
|
|
Inf(1), // pow(+Inf, Pi)
|
|
NaN(), // pow(+Inf, NaN)
|
|
NaN(), // pow(NaN, -Pi)
|
|
1, // pow(NaN, -0)
|
|
1, // pow(NaN, +0)
|
|
NaN(), // pow(NaN, 1)
|
|
NaN(), // pow(NaN, +Pi)
|
|
NaN(), // pow(NaN, NaN)
|
|
}
|
|
|
|
var vfpow10SC = []int{
|
|
MinInt32,
|
|
MaxInt32,
|
|
-325,
|
|
309,
|
|
}
|
|
|
|
var pow10SC = []float64{
|
|
0, // pow10(MinInt32)
|
|
Inf(1), // pow10(MaxInt32)
|
|
0, // pow10(-325)
|
|
Inf(1), // pow10(309)
|
|
}
|
|
|
|
var vfsignbitSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var signbitSC = []bool{
|
|
true,
|
|
true,
|
|
false,
|
|
false,
|
|
false,
|
|
}
|
|
|
|
var vfsinSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var sinSC = []float64{
|
|
NaN(),
|
|
Copysign(0, -1),
|
|
0,
|
|
NaN(),
|
|
NaN(),
|
|
}
|
|
|
|
var vfsinhSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var sinhSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vfsqrtSC = []float64{
|
|
Inf(-1),
|
|
-Pi,
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var sqrtSC = []float64{
|
|
NaN(),
|
|
NaN(),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
|
|
var vftanhSC = []float64{
|
|
Inf(-1),
|
|
Copysign(0, -1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var tanhSC = []float64{
|
|
-1,
|
|
Copysign(0, -1),
|
|
0,
|
|
1,
|
|
NaN(),
|
|
}
|
|
|
|
var vfy0SC = []float64{
|
|
Inf(-1),
|
|
0,
|
|
Inf(1),
|
|
NaN(),
|
|
}
|
|
var y0SC = []float64{
|
|
NaN(),
|
|
Inf(-1),
|
|
0,
|
|
NaN(),
|
|
}
|
|
var y1SC = []float64{
|
|
NaN(),
|
|
Inf(-1),
|
|
0,
|
|
NaN(),
|
|
}
|
|
var y2SC = []float64{
|
|
NaN(),
|
|
Inf(-1),
|
|
0,
|
|
NaN(),
|
|
}
|
|
var yM3SC = []float64{
|
|
NaN(),
|
|
Inf(1),
|
|
0,
|
|
NaN(),
|
|
}
|
|
|
|
// arguments and expected results for boundary cases
|
|
const (
|
|
SmallestNormalFloat64 = 2.2250738585072014e-308 // 2**-1022
|
|
LargestSubnormalFloat64 = SmallestNormalFloat64 - SmallestNonzeroFloat64
|
|
)
|
|
|
|
var vffrexpBC = []float64{
|
|
SmallestNormalFloat64,
|
|
LargestSubnormalFloat64,
|
|
SmallestNonzeroFloat64,
|
|
MaxFloat64,
|
|
-SmallestNormalFloat64,
|
|
-LargestSubnormalFloat64,
|
|
-SmallestNonzeroFloat64,
|
|
-MaxFloat64,
|
|
}
|
|
var frexpBC = []fi{
|
|
{0.5, -1021},
|
|
{0.99999999999999978, -1022},
|
|
{0.5, -1073},
|
|
{0.99999999999999989, 1024},
|
|
{-0.5, -1021},
|
|
{-0.99999999999999978, -1022},
|
|
{-0.5, -1073},
|
|
{-0.99999999999999989, 1024},
|
|
}
|
|
|
|
var vfldexpBC = []fi{
|
|
{SmallestNormalFloat64, -52},
|
|
{LargestSubnormalFloat64, -51},
|
|
{SmallestNonzeroFloat64, 1074},
|
|
{MaxFloat64, -(1023 + 1074)},
|
|
{1, -1075},
|
|
{-1, -1075},
|
|
{1, 1024},
|
|
{-1, 1024},
|
|
}
|
|
var ldexpBC = []float64{
|
|
SmallestNonzeroFloat64,
|
|
1e-323, // 2**-1073
|
|
1,
|
|
1e-323, // 2**-1073
|
|
0,
|
|
Copysign(0, -1),
|
|
Inf(1),
|
|
Inf(-1),
|
|
}
|
|
|
|
var logbBC = []float64{
|
|
-1022,
|
|
-1023,
|
|
-1074,
|
|
1023,
|
|
-1022,
|
|
-1023,
|
|
-1074,
|
|
1023,
|
|
}
|
|
|
|
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 kindaclose(a, b float64) bool { return tolerance(a, b, 1e-8) }
|
|
func close(a, b float64) bool { return tolerance(a, b, 1e-14) }
|
|
func veryclose(a, b float64) bool { return tolerance(a, b, 4e-16) }
|
|
func soclose(a, b, e float64) bool { return tolerance(a, b, e) }
|
|
func alike(a, b float64) bool {
|
|
switch {
|
|
case IsNaN(a) && IsNaN(b):
|
|
return true
|
|
case a == b:
|
|
return Signbit(a) == Signbit(b)
|
|
}
|
|
return false
|
|
}
|
|
|
|
func TestNaN(t *testing.T) {
|
|
f64 := NaN()
|
|
if f64 == f64 {
|
|
t.Fatalf("NaN() returns %g, expected NaN", f64)
|
|
}
|
|
f32 := float32(f64)
|
|
if f32 == f32 {
|
|
t.Fatalf("float32(NaN()) is %g, expected NaN", f32)
|
|
}
|
|
}
|
|
|
|
func TestAcos(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 10
|
|
if f := Acos(a); !close(acos[i], f) {
|
|
t.Errorf("Acos(%g) = %g, want %g", a, f, acos[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfacosSC); i++ {
|
|
if f := Acos(vfacosSC[i]); !alike(acosSC[i], f) {
|
|
t.Errorf("Acos(%g) = %g, want %g", vfacosSC[i], f, acosSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAcosh(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := 1 + Abs(vf[i])
|
|
if f := Acosh(a); !veryclose(acosh[i], f) {
|
|
t.Errorf("Acosh(%g) = %g, want %g", a, f, acosh[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfacoshSC); i++ {
|
|
if f := Acosh(vfacoshSC[i]); !alike(acoshSC[i], f) {
|
|
t.Errorf("Acosh(%g) = %g, want %g", vfacoshSC[i], f, acoshSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAsin(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 10
|
|
if f := Asin(a); !veryclose(asin[i], f) {
|
|
t.Errorf("Asin(%g) = %g, want %g", a, f, asin[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfasinSC); i++ {
|
|
if f := Asin(vfasinSC[i]); !alike(asinSC[i], f) {
|
|
t.Errorf("Asin(%g) = %g, want %g", vfasinSC[i], f, asinSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAsinh(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Asinh(vf[i]); !veryclose(asinh[i], f) {
|
|
t.Errorf("Asinh(%g) = %g, want %g", vf[i], f, asinh[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfasinhSC); i++ {
|
|
if f := Asinh(vfasinhSC[i]); !alike(asinhSC[i], f) {
|
|
t.Errorf("Asinh(%g) = %g, want %g", vfasinhSC[i], f, asinhSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAtan(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Atan(vf[i]); !veryclose(atan[i], f) {
|
|
t.Errorf("Atan(%g) = %g, want %g", vf[i], f, atan[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfatanSC); i++ {
|
|
if f := Atan(vfatanSC[i]); !alike(atanSC[i], f) {
|
|
t.Errorf("Atan(%g) = %g, want %g", vfatanSC[i], f, atanSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAtanh(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 10
|
|
if f := Atanh(a); !veryclose(atanh[i], f) {
|
|
t.Errorf("Atanh(%g) = %g, want %g", a, f, atanh[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfatanhSC); i++ {
|
|
if f := Atanh(vfatanhSC[i]); !alike(atanhSC[i], f) {
|
|
t.Errorf("Atanh(%g) = %g, want %g", vfatanhSC[i], f, atanhSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAtan2(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Atan2(10, vf[i]); !veryclose(atan2[i], f) {
|
|
t.Errorf("Atan2(10, %g) = %g, want %g", vf[i], f, atan2[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfatan2SC); i++ {
|
|
if f := Atan2(vfatan2SC[i][0], vfatan2SC[i][1]); !alike(atan2SC[i], f) {
|
|
t.Errorf("Atan2(%g, %g) = %g, want %g", vfatan2SC[i][0], vfatan2SC[i][1], f, atan2SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestCbrt(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Cbrt(vf[i]); !veryclose(cbrt[i], f) {
|
|
t.Errorf("Cbrt(%g) = %g, want %g", vf[i], f, cbrt[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfcbrtSC); i++ {
|
|
if f := Cbrt(vfcbrtSC[i]); !alike(cbrtSC[i], f) {
|
|
t.Errorf("Cbrt(%g) = %g, want %g", vfcbrtSC[i], f, cbrtSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestCeil(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Ceil(vf[i]); ceil[i] != f {
|
|
t.Errorf("Ceil(%g) = %g, want %g", vf[i], f, ceil[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfceilSC); i++ {
|
|
if f := Ceil(vfceilSC[i]); !alike(ceilSC[i], f) {
|
|
t.Errorf("Ceil(%g) = %g, want %g", vfceilSC[i], f, ceilSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestCopysign(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Copysign(vf[i], -1); copysign[i] != f {
|
|
t.Errorf("Copysign(%g, -1) = %g, want %g", vf[i], f, copysign[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Copysign(vf[i], 1); -copysign[i] != f {
|
|
t.Errorf("Copysign(%g, 1) = %g, want %g", vf[i], f, -copysign[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfcopysignSC); i++ {
|
|
if f := Copysign(vfcopysignSC[i], -1); !alike(copysignSC[i], f) {
|
|
t.Errorf("Copysign(%g, -1) = %g, want %g", vfcopysignSC[i], f, copysignSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestCos(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Cos(vf[i]); !veryclose(cos[i], f) {
|
|
t.Errorf("Cos(%g) = %g, want %g", vf[i], f, cos[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfcosSC); i++ {
|
|
if f := Cos(vfcosSC[i]); !alike(cosSC[i], f) {
|
|
t.Errorf("Cos(%g) = %g, want %g", vfcosSC[i], f, cosSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestCosh(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Cosh(vf[i]); !close(cosh[i], f) {
|
|
t.Errorf("Cosh(%g) = %g, want %g", vf[i], f, cosh[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfcoshSC); i++ {
|
|
if f := Cosh(vfcoshSC[i]); !alike(coshSC[i], f) {
|
|
t.Errorf("Cosh(%g) = %g, want %g", vfcoshSC[i], f, coshSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestErf(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 10
|
|
if f := Erf(a); !veryclose(erf[i], f) {
|
|
t.Errorf("Erf(%g) = %g, want %g", a, f, erf[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vferfSC); i++ {
|
|
if f := Erf(vferfSC[i]); !alike(erfSC[i], f) {
|
|
t.Errorf("Erf(%g) = %g, want %g", vferfSC[i], f, erfSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestErfc(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 10
|
|
if f := Erfc(a); !veryclose(erfc[i], f) {
|
|
t.Errorf("Erfc(%g) = %g, want %g", a, f, erfc[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vferfcSC); i++ {
|
|
if f := Erfc(vferfcSC[i]); !alike(erfcSC[i], f) {
|
|
t.Errorf("Erfc(%g) = %g, want %g", vferfcSC[i], f, erfcSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestExp(t *testing.T) {
|
|
testExp(t, Exp, "Exp")
|
|
testExp(t, ExpGo, "ExpGo")
|
|
}
|
|
|
|
func testExp(t *testing.T, Exp func(float64) float64, name string) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Exp(vf[i]); !close(exp[i], f) {
|
|
t.Errorf("%s(%g) = %g, want %g", name, vf[i], f, exp[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfexpSC); i++ {
|
|
if f := Exp(vfexpSC[i]); !alike(expSC[i], f) {
|
|
t.Errorf("%s(%g) = %g, want %g", name, vfexpSC[i], f, expSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestExpm1(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 100
|
|
if f := Expm1(a); !veryclose(expm1[i], f) {
|
|
t.Errorf("Expm1(%g) = %g, want %g", a, f, expm1[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfexpm1SC); i++ {
|
|
if f := Expm1(vfexpm1SC[i]); !alike(expm1SC[i], f) {
|
|
t.Errorf("Expm1(%g) = %g, want %g", vfexpm1SC[i], f, expm1SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestExp2(t *testing.T) {
|
|
testExp2(t, Exp2, "Exp2")
|
|
testExp2(t, Exp2Go, "Exp2Go")
|
|
}
|
|
|
|
func testExp2(t *testing.T, Exp2 func(float64) float64, name string) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Exp2(vf[i]); !close(exp2[i], f) {
|
|
t.Errorf("%s(%g) = %g, want %g", name, vf[i], f, exp2[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfexpSC); i++ {
|
|
if f := Exp2(vfexpSC[i]); !alike(expSC[i], f) {
|
|
t.Errorf("%s(%g) = %g, want %g", name, vfexpSC[i], f, expSC[i])
|
|
}
|
|
}
|
|
for n := -1074; n < 1024; n++ {
|
|
f := Exp2(float64(n))
|
|
vf := Ldexp(1, n)
|
|
if f != vf {
|
|
t.Errorf("%s(%d) = %g, want %g", name, n, f, vf)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestAbs(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Abs(vf[i]); fabs[i] != f {
|
|
t.Errorf("Abs(%g) = %g, want %g", vf[i], f, fabs[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffabsSC); i++ {
|
|
if f := Abs(vffabsSC[i]); !alike(fabsSC[i], f) {
|
|
t.Errorf("Abs(%g) = %g, want %g", vffabsSC[i], f, fabsSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestDim(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Dim(vf[i], 0); fdim[i] != f {
|
|
t.Errorf("Dim(%g, %g) = %g, want %g", vf[i], 0.0, f, fdim[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffdimSC); i++ {
|
|
if f := Dim(vffdimSC[i][0], vffdimSC[i][1]); !alike(fdimSC[i], f) {
|
|
t.Errorf("Dim(%g, %g) = %g, want %g", vffdimSC[i][0], vffdimSC[i][1], f, fdimSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestFloor(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Floor(vf[i]); floor[i] != f {
|
|
t.Errorf("Floor(%g) = %g, want %g", vf[i], f, floor[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfceilSC); i++ {
|
|
if f := Floor(vfceilSC[i]); !alike(ceilSC[i], f) {
|
|
t.Errorf("Floor(%g) = %g, want %g", vfceilSC[i], f, ceilSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestMax(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Max(vf[i], ceil[i]); ceil[i] != f {
|
|
t.Errorf("Max(%g, %g) = %g, want %g", vf[i], ceil[i], f, ceil[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffdimSC); i++ {
|
|
if f := Max(vffdimSC[i][0], vffdimSC[i][1]); !alike(fmaxSC[i], f) {
|
|
t.Errorf("Max(%g, %g) = %g, want %g", vffdimSC[i][0], vffdimSC[i][1], f, fmaxSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestMin(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Min(vf[i], floor[i]); floor[i] != f {
|
|
t.Errorf("Min(%g, %g) = %g, want %g", vf[i], floor[i], f, floor[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffdimSC); i++ {
|
|
if f := Min(vffdimSC[i][0], vffdimSC[i][1]); !alike(fminSC[i], f) {
|
|
t.Errorf("Min(%g, %g) = %g, want %g", vffdimSC[i][0], vffdimSC[i][1], f, fminSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestMod(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Mod(10, vf[i]); fmod[i] != f {
|
|
t.Errorf("Mod(10, %g) = %g, want %g", vf[i], f, fmod[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffmodSC); i++ {
|
|
if f := Mod(vffmodSC[i][0], vffmodSC[i][1]); !alike(fmodSC[i], f) {
|
|
t.Errorf("Mod(%g, %g) = %g, want %g", vffmodSC[i][0], vffmodSC[i][1], f, fmodSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestFrexp(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f, j := Frexp(vf[i]); !veryclose(frexp[i].f, f) || frexp[i].i != j {
|
|
t.Errorf("Frexp(%g) = %g, %d, want %g, %d", vf[i], f, j, frexp[i].f, frexp[i].i)
|
|
}
|
|
}
|
|
for i := 0; i < len(vffrexpSC); i++ {
|
|
if f, j := Frexp(vffrexpSC[i]); !alike(frexpSC[i].f, f) || frexpSC[i].i != j {
|
|
t.Errorf("Frexp(%g) = %g, %d, want %g, %d", vffrexpSC[i], f, j, frexpSC[i].f, frexpSC[i].i)
|
|
}
|
|
}
|
|
for i := 0; i < len(vffrexpBC); i++ {
|
|
if f, j := Frexp(vffrexpBC[i]); !alike(frexpBC[i].f, f) || frexpBC[i].i != j {
|
|
t.Errorf("Frexp(%g) = %g, %d, want %g, %d", vffrexpBC[i], f, j, frexpBC[i].f, frexpBC[i].i)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestGamma(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Gamma(vf[i]); !close(gamma[i], f) {
|
|
t.Errorf("Gamma(%g) = %g, want %g", vf[i], f, gamma[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfgammaSC); i++ {
|
|
if f := Gamma(vfgammaSC[i]); !alike(gammaSC[i], f) {
|
|
t.Errorf("Gamma(%g) = %g, want %g", vfgammaSC[i], f, gammaSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestHypot(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(1e200 * tanh[i] * Sqrt(2))
|
|
if f := Hypot(1e200*tanh[i], 1e200*tanh[i]); !veryclose(a, f) {
|
|
t.Errorf("Hypot(%g, %g) = %g, want %g", 1e200*tanh[i], 1e200*tanh[i], f, a)
|
|
}
|
|
}
|
|
for i := 0; i < len(vfhypotSC); i++ {
|
|
if f := Hypot(vfhypotSC[i][0], vfhypotSC[i][1]); !alike(hypotSC[i], f) {
|
|
t.Errorf("Hypot(%g, %g) = %g, want %g", vfhypotSC[i][0], vfhypotSC[i][1], f, hypotSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestHypotGo(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(1e200 * tanh[i] * Sqrt(2))
|
|
if f := HypotGo(1e200*tanh[i], 1e200*tanh[i]); !veryclose(a, f) {
|
|
t.Errorf("HypotGo(%g, %g) = %g, want %g", 1e200*tanh[i], 1e200*tanh[i], f, a)
|
|
}
|
|
}
|
|
for i := 0; i < len(vfhypotSC); i++ {
|
|
if f := HypotGo(vfhypotSC[i][0], vfhypotSC[i][1]); !alike(hypotSC[i], f) {
|
|
t.Errorf("HypotGo(%g, %g) = %g, want %g", vfhypotSC[i][0], vfhypotSC[i][1], f, hypotSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestIlogb(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := frexp[i].i - 1 // adjust because fr in the interval [½, 1)
|
|
if e := Ilogb(vf[i]); a != e {
|
|
t.Errorf("Ilogb(%g) = %d, want %d", vf[i], e, a)
|
|
}
|
|
}
|
|
for i := 0; i < len(vflogbSC); i++ {
|
|
if e := Ilogb(vflogbSC[i]); ilogbSC[i] != e {
|
|
t.Errorf("Ilogb(%g) = %d, want %d", vflogbSC[i], e, ilogbSC[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffrexpBC); i++ {
|
|
if e := Ilogb(vffrexpBC[i]); int(logbBC[i]) != e {
|
|
t.Errorf("Ilogb(%g) = %d, want %d", vffrexpBC[i], e, int(logbBC[i]))
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestJ0(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := J0(vf[i]); !soclose(j0[i], f, 4e-14) {
|
|
t.Errorf("J0(%g) = %g, want %g", vf[i], f, j0[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfj0SC); i++ {
|
|
if f := J0(vfj0SC[i]); !alike(j0SC[i], f) {
|
|
t.Errorf("J0(%g) = %g, want %g", vfj0SC[i], f, j0SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestJ1(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := J1(vf[i]); !close(j1[i], f) {
|
|
t.Errorf("J1(%g) = %g, want %g", vf[i], f, j1[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfj0SC); i++ {
|
|
if f := J1(vfj0SC[i]); !alike(j1SC[i], f) {
|
|
t.Errorf("J1(%g) = %g, want %g", vfj0SC[i], f, j1SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestJn(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Jn(2, vf[i]); !close(j2[i], f) {
|
|
t.Errorf("Jn(2, %g) = %g, want %g", vf[i], f, j2[i])
|
|
}
|
|
if f := Jn(-3, vf[i]); !close(jM3[i], f) {
|
|
t.Errorf("Jn(-3, %g) = %g, want %g", vf[i], f, jM3[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfj0SC); i++ {
|
|
if f := Jn(2, vfj0SC[i]); !alike(j2SC[i], f) {
|
|
t.Errorf("Jn(2, %g) = %g, want %g", vfj0SC[i], f, j2SC[i])
|
|
}
|
|
if f := Jn(-3, vfj0SC[i]); !alike(jM3SC[i], f) {
|
|
t.Errorf("Jn(-3, %g) = %g, want %g", vfj0SC[i], f, jM3SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLdexp(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Ldexp(frexp[i].f, frexp[i].i); !veryclose(vf[i], f) {
|
|
t.Errorf("Ldexp(%g, %d) = %g, want %g", frexp[i].f, frexp[i].i, f, vf[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffrexpSC); i++ {
|
|
if f := Ldexp(frexpSC[i].f, frexpSC[i].i); !alike(vffrexpSC[i], f) {
|
|
t.Errorf("Ldexp(%g, %d) = %g, want %g", frexpSC[i].f, frexpSC[i].i, f, vffrexpSC[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfldexpSC); i++ {
|
|
if f := Ldexp(vfldexpSC[i].f, vfldexpSC[i].i); !alike(ldexpSC[i], f) {
|
|
t.Errorf("Ldexp(%g, %d) = %g, want %g", vfldexpSC[i].f, vfldexpSC[i].i, f, ldexpSC[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffrexpBC); i++ {
|
|
if f := Ldexp(frexpBC[i].f, frexpBC[i].i); !alike(vffrexpBC[i], f) {
|
|
t.Errorf("Ldexp(%g, %d) = %g, want %g", frexpBC[i].f, frexpBC[i].i, f, vffrexpBC[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfldexpBC); i++ {
|
|
if f := Ldexp(vfldexpBC[i].f, vfldexpBC[i].i); !alike(ldexpBC[i], f) {
|
|
t.Errorf("Ldexp(%g, %d) = %g, want %g", vfldexpBC[i].f, vfldexpBC[i].i, f, ldexpBC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLgamma(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f, s := Lgamma(vf[i]); !close(lgamma[i].f, f) || lgamma[i].i != s {
|
|
t.Errorf("Lgamma(%g) = %g, %d, want %g, %d", vf[i], f, s, lgamma[i].f, lgamma[i].i)
|
|
}
|
|
}
|
|
for i := 0; i < len(vflgammaSC); i++ {
|
|
if f, s := Lgamma(vflgammaSC[i]); !alike(lgammaSC[i].f, f) || lgammaSC[i].i != s {
|
|
t.Errorf("Lgamma(%g) = %g, %d, want %g, %d", vflgammaSC[i], f, s, lgammaSC[i].f, lgammaSC[i].i)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLog(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := Log(a); log[i] != f {
|
|
t.Errorf("Log(%g) = %g, want %g", a, f, log[i])
|
|
}
|
|
}
|
|
if f := Log(10); f != Ln10 {
|
|
t.Errorf("Log(%g) = %g, want %g", 10.0, f, Ln10)
|
|
}
|
|
for i := 0; i < len(vflogSC); i++ {
|
|
if f := Log(vflogSC[i]); !alike(logSC[i], f) {
|
|
t.Errorf("Log(%g) = %g, want %g", vflogSC[i], f, logSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLogb(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Logb(vf[i]); logb[i] != f {
|
|
t.Errorf("Logb(%g) = %g, want %g", vf[i], f, logb[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vflogbSC); i++ {
|
|
if f := Logb(vflogbSC[i]); !alike(logbSC[i], f) {
|
|
t.Errorf("Logb(%g) = %g, want %g", vflogbSC[i], f, logbSC[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffrexpBC); i++ {
|
|
if f := Logb(vffrexpBC[i]); !alike(logbBC[i], f) {
|
|
t.Errorf("Logb(%g) = %g, want %g", vffrexpBC[i], f, logbBC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLog10(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := Log10(a); !veryclose(log10[i], f) {
|
|
t.Errorf("Log10(%g) = %g, want %g", a, f, log10[i])
|
|
}
|
|
}
|
|
if f := Log10(E); f != Log10E {
|
|
t.Errorf("Log10(%g) = %g, want %g", E, f, Log10E)
|
|
}
|
|
for i := 0; i < len(vflogSC); i++ {
|
|
if f := Log10(vflogSC[i]); !alike(logSC[i], f) {
|
|
t.Errorf("Log10(%g) = %g, want %g", vflogSC[i], f, logSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLog1p(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := vf[i] / 100
|
|
if f := Log1p(a); !veryclose(log1p[i], f) {
|
|
t.Errorf("Log1p(%g) = %g, want %g", a, f, log1p[i])
|
|
}
|
|
}
|
|
a := 9.0
|
|
if f := Log1p(a); f != Ln10 {
|
|
t.Errorf("Log1p(%g) = %g, want %g", a, f, Ln10)
|
|
}
|
|
for i := 0; i < len(vflogSC); i++ {
|
|
if f := Log1p(vflog1pSC[i]); !alike(log1pSC[i], f) {
|
|
t.Errorf("Log1p(%g) = %g, want %g", vflog1pSC[i], f, log1pSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLog2(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := Log2(a); !veryclose(log2[i], f) {
|
|
t.Errorf("Log2(%g) = %g, want %g", a, f, log2[i])
|
|
}
|
|
}
|
|
if f := Log2(E); f != Log2E {
|
|
t.Errorf("Log2(%g) = %g, want %g", E, f, Log2E)
|
|
}
|
|
for i := 0; i < len(vflogSC); i++ {
|
|
if f := Log2(vflogSC[i]); !alike(logSC[i], f) {
|
|
t.Errorf("Log2(%g) = %g, want %g", vflogSC[i], f, logSC[i])
|
|
}
|
|
}
|
|
for i := -1074; i <= 1023; i++ {
|
|
f := Ldexp(1, i)
|
|
l := Log2(f)
|
|
if l != float64(i) {
|
|
t.Errorf("Log2(2**%d) = %g, want %d", i, l, i)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestModf(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f, g := Modf(vf[i]); !veryclose(modf[i][0], f) || !veryclose(modf[i][1], g) {
|
|
t.Errorf("Modf(%g) = %g, %g, want %g, %g", vf[i], f, g, modf[i][0], modf[i][1])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfmodfSC); i++ {
|
|
if f, g := Modf(vfmodfSC[i]); !alike(modfSC[i][0], f) || !alike(modfSC[i][1], g) {
|
|
t.Errorf("Modf(%g) = %g, %g, want %g, %g", vfmodfSC[i], f, g, modfSC[i][0], modfSC[i][1])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestNextafter32(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
vfi := float32(vf[i])
|
|
if f := Nextafter32(vfi, 10); nextafter32[i] != f {
|
|
t.Errorf("Nextafter32(%g, %g) = %g want %g", vfi, 10.0, f, nextafter32[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfnextafter32SC); i++ {
|
|
if f := Nextafter32(vfnextafter32SC[i][0], vfnextafter32SC[i][1]); !alike(float64(nextafter32SC[i]), float64(f)) {
|
|
t.Errorf("Nextafter32(%g, %g) = %g want %g", vfnextafter32SC[i][0], vfnextafter32SC[i][1], f, nextafter32SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestNextafter64(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Nextafter(vf[i], 10); nextafter64[i] != f {
|
|
t.Errorf("Nextafter64(%g, %g) = %g want %g", vf[i], 10.0, f, nextafter64[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfnextafter64SC); i++ {
|
|
if f := Nextafter(vfnextafter64SC[i][0], vfnextafter64SC[i][1]); !alike(nextafter64SC[i], f) {
|
|
t.Errorf("Nextafter64(%g, %g) = %g want %g", vfnextafter64SC[i][0], vfnextafter64SC[i][1], f, nextafter64SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestPow(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Pow(10, vf[i]); !close(pow[i], f) {
|
|
t.Errorf("Pow(10, %g) = %g, want %g", vf[i], f, pow[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfpowSC); i++ {
|
|
if f := Pow(vfpowSC[i][0], vfpowSC[i][1]); !alike(powSC[i], f) {
|
|
t.Errorf("Pow(%g, %g) = %g, want %g", vfpowSC[i][0], vfpowSC[i][1], f, powSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestPow10(t *testing.T) {
|
|
for i := 0; i < len(vfpow10SC); i++ {
|
|
if f := Pow10(vfpow10SC[i]); !alike(pow10SC[i], f) {
|
|
t.Errorf("Pow10(%d) = %g, want %g", vfpow10SC[i], f, pow10SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestRemainder(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Remainder(10, vf[i]); remainder[i] != f {
|
|
t.Errorf("Remainder(10, %g) = %g, want %g", vf[i], f, remainder[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vffmodSC); i++ {
|
|
if f := Remainder(vffmodSC[i][0], vffmodSC[i][1]); !alike(fmodSC[i], f) {
|
|
t.Errorf("Remainder(%g, %g) = %g, want %g", vffmodSC[i][0], vffmodSC[i][1], f, fmodSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestSignbit(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Signbit(vf[i]); signbit[i] != f {
|
|
t.Errorf("Signbit(%g) = %t, want %t", vf[i], f, signbit[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfsignbitSC); i++ {
|
|
if f := Signbit(vfsignbitSC[i]); signbitSC[i] != f {
|
|
t.Errorf("Signbit(%g) = %t, want %t", vfsignbitSC[i], f, signbitSC[i])
|
|
}
|
|
}
|
|
}
|
|
func TestSin(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Sin(vf[i]); !veryclose(sin[i], f) {
|
|
t.Errorf("Sin(%g) = %g, want %g", vf[i], f, sin[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfsinSC); i++ {
|
|
if f := Sin(vfsinSC[i]); !alike(sinSC[i], f) {
|
|
t.Errorf("Sin(%g) = %g, want %g", vfsinSC[i], f, sinSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestSincos(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if s, c := Sincos(vf[i]); !veryclose(sin[i], s) || !veryclose(cos[i], c) {
|
|
t.Errorf("Sincos(%g) = %g, %g want %g, %g", vf[i], s, c, sin[i], cos[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestSinh(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Sinh(vf[i]); !close(sinh[i], f) {
|
|
t.Errorf("Sinh(%g) = %g, want %g", vf[i], f, sinh[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfsinhSC); i++ {
|
|
if f := Sinh(vfsinhSC[i]); !alike(sinhSC[i], f) {
|
|
t.Errorf("Sinh(%g) = %g, want %g", vfsinhSC[i], f, sinhSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestSqrt(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := SqrtGo(a); sqrt[i] != f {
|
|
t.Errorf("SqrtGo(%g) = %g, want %g", a, f, sqrt[i])
|
|
}
|
|
a = Abs(vf[i])
|
|
if f := Sqrt(a); sqrt[i] != f {
|
|
t.Errorf("Sqrt(%g) = %g, want %g", a, f, sqrt[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfsqrtSC); i++ {
|
|
if f := SqrtGo(vfsqrtSC[i]); !alike(sqrtSC[i], f) {
|
|
t.Errorf("SqrtGo(%g) = %g, want %g", vfsqrtSC[i], f, sqrtSC[i])
|
|
}
|
|
if f := Sqrt(vfsqrtSC[i]); !alike(sqrtSC[i], f) {
|
|
t.Errorf("Sqrt(%g) = %g, want %g", vfsqrtSC[i], f, sqrtSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestTan(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Tan(vf[i]); !veryclose(tan[i], f) {
|
|
t.Errorf("Tan(%g) = %g, want %g", vf[i], f, tan[i])
|
|
}
|
|
}
|
|
// same special cases as Sin
|
|
for i := 0; i < len(vfsinSC); i++ {
|
|
if f := Tan(vfsinSC[i]); !alike(sinSC[i], f) {
|
|
t.Errorf("Tan(%g) = %g, want %g", vfsinSC[i], f, sinSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestTanh(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Tanh(vf[i]); !veryclose(tanh[i], f) {
|
|
t.Errorf("Tanh(%g) = %g, want %g", vf[i], f, tanh[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vftanhSC); i++ {
|
|
if f := Tanh(vftanhSC[i]); !alike(tanhSC[i], f) {
|
|
t.Errorf("Tanh(%g) = %g, want %g", vftanhSC[i], f, tanhSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestTrunc(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
if f := Trunc(vf[i]); trunc[i] != f {
|
|
t.Errorf("Trunc(%g) = %g, want %g", vf[i], f, trunc[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfceilSC); i++ {
|
|
if f := Trunc(vfceilSC[i]); !alike(ceilSC[i], f) {
|
|
t.Errorf("Trunc(%g) = %g, want %g", vfceilSC[i], f, ceilSC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestY0(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := Y0(a); !close(y0[i], f) {
|
|
t.Errorf("Y0(%g) = %g, want %g", a, f, y0[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfy0SC); i++ {
|
|
if f := Y0(vfy0SC[i]); !alike(y0SC[i], f) {
|
|
t.Errorf("Y0(%g) = %g, want %g", vfy0SC[i], f, y0SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestY1(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := Y1(a); !soclose(y1[i], f, 2e-14) {
|
|
t.Errorf("Y1(%g) = %g, want %g", a, f, y1[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfy0SC); i++ {
|
|
if f := Y1(vfy0SC[i]); !alike(y1SC[i], f) {
|
|
t.Errorf("Y1(%g) = %g, want %g", vfy0SC[i], f, y1SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestYn(t *testing.T) {
|
|
for i := 0; i < len(vf); i++ {
|
|
a := Abs(vf[i])
|
|
if f := Yn(2, a); !close(y2[i], f) {
|
|
t.Errorf("Yn(2, %g) = %g, want %g", a, f, y2[i])
|
|
}
|
|
if f := Yn(-3, a); !close(yM3[i], f) {
|
|
t.Errorf("Yn(-3, %g) = %g, want %g", a, f, yM3[i])
|
|
}
|
|
}
|
|
for i := 0; i < len(vfy0SC); i++ {
|
|
if f := Yn(2, vfy0SC[i]); !alike(y2SC[i], f) {
|
|
t.Errorf("Yn(2, %g) = %g, want %g", vfy0SC[i], f, y2SC[i])
|
|
}
|
|
if f := Yn(-3, vfy0SC[i]); !alike(yM3SC[i], f) {
|
|
t.Errorf("Yn(-3, %g) = %g, want %g", vfy0SC[i], f, yM3SC[i])
|
|
}
|
|
}
|
|
}
|
|
|
|
// Check that math functions of high angle values
|
|
// return accurate results. [Since (vf[i] + large) - large != vf[i],
|
|
// testing for Trig(vf[i] + large) == Trig(vf[i]), where large is
|
|
// a multiple of 2*Pi, is misleading.]
|
|
func TestLargeCos(t *testing.T) {
|
|
large := float64(100000 * Pi)
|
|
for i := 0; i < len(vf); i++ {
|
|
f1 := cosLarge[i]
|
|
f2 := Cos(vf[i] + large)
|
|
if !close(f1, f2) {
|
|
t.Errorf("Cos(%g) = %g, want %g", vf[i]+large, f2, f1)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLargeSin(t *testing.T) {
|
|
large := float64(100000 * Pi)
|
|
for i := 0; i < len(vf); i++ {
|
|
f1 := sinLarge[i]
|
|
f2 := Sin(vf[i] + large)
|
|
if !close(f1, f2) {
|
|
t.Errorf("Sin(%g) = %g, want %g", vf[i]+large, f2, f1)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLargeSincos(t *testing.T) {
|
|
large := float64(100000 * Pi)
|
|
for i := 0; i < len(vf); i++ {
|
|
f1, g1 := sinLarge[i], cosLarge[i]
|
|
f2, g2 := Sincos(vf[i] + large)
|
|
if !close(f1, f2) || !close(g1, g2) {
|
|
t.Errorf("Sincos(%g) = %g, %g, want %g, %g", vf[i]+large, f2, g2, f1, g1)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestLargeTan(t *testing.T) {
|
|
large := float64(100000 * Pi)
|
|
for i := 0; i < len(vf); i++ {
|
|
f1 := tanLarge[i]
|
|
f2 := Tan(vf[i] + large)
|
|
if !close(f1, f2) {
|
|
t.Errorf("Tan(%g) = %g, want %g", vf[i]+large, f2, f1)
|
|
}
|
|
}
|
|
}
|
|
|
|
// Check that math constants are accepted by compiler
|
|
// and have right value (assumes strconv.ParseFloat works).
|
|
// http://code.google.com/p/go/issues/detail?id=201
|
|
|
|
type floatTest struct {
|
|
val interface{}
|
|
name string
|
|
str string
|
|
}
|
|
|
|
var floatTests = []floatTest{
|
|
{float64(MaxFloat64), "MaxFloat64", "1.7976931348623157e+308"},
|
|
{float64(SmallestNonzeroFloat64), "SmallestNonzeroFloat64", "5e-324"},
|
|
{float32(MaxFloat32), "MaxFloat32", "3.4028235e+38"},
|
|
{float32(SmallestNonzeroFloat32), "SmallestNonzeroFloat32", "1e-45"},
|
|
}
|
|
|
|
func TestFloatMinMax(t *testing.T) {
|
|
for _, tt := range floatTests {
|
|
s := fmt.Sprint(tt.val)
|
|
if s != tt.str {
|
|
t.Errorf("Sprint(%v) = %s, want %s", tt.name, s, tt.str)
|
|
}
|
|
}
|
|
}
|
|
|
|
// Benchmarks
|
|
|
|
func BenchmarkAcos(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Acos(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAcosh(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Acosh(1.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAsin(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Asin(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAsinh(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Asinh(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAtan(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Atan(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAtanh(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Atanh(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAtan2(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Atan2(.5, 1)
|
|
}
|
|
}
|
|
|
|
func BenchmarkCbrt(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Cbrt(10)
|
|
}
|
|
}
|
|
|
|
func BenchmarkCeil(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Ceil(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkCopysign(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Copysign(.5, -1)
|
|
}
|
|
}
|
|
|
|
func BenchmarkCos(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Cos(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkCosh(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Cosh(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkErf(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Erf(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkErfc(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Erfc(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkExp(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Exp(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkExpGo(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
ExpGo(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkExpm1(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Expm1(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkExp2(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Exp2(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkExp2Go(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Exp2Go(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkAbs(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Abs(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkDim(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Dim(10, 3)
|
|
}
|
|
}
|
|
|
|
func BenchmarkFloor(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Floor(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkMax(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Max(10, 3)
|
|
}
|
|
}
|
|
|
|
func BenchmarkMin(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Min(10, 3)
|
|
}
|
|
}
|
|
|
|
func BenchmarkMod(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Mod(10, 3)
|
|
}
|
|
}
|
|
|
|
func BenchmarkFrexp(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Frexp(8)
|
|
}
|
|
}
|
|
|
|
func BenchmarkGamma(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Gamma(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkHypot(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Hypot(3, 4)
|
|
}
|
|
}
|
|
|
|
func BenchmarkHypotGo(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
HypotGo(3, 4)
|
|
}
|
|
}
|
|
|
|
func BenchmarkIlogb(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Ilogb(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkJ0(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
J0(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkJ1(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
J1(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkJn(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Jn(2, 2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLdexp(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Ldexp(.5, 2)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLgamma(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Lgamma(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLog(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Log(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLogb(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Logb(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLog1p(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Log1p(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLog10(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Log10(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkLog2(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Log2(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkModf(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Modf(1.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkNextafter32(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Nextafter32(.5, 1)
|
|
}
|
|
}
|
|
|
|
func BenchmarkNextafter64(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Nextafter(.5, 1)
|
|
}
|
|
}
|
|
|
|
func BenchmarkPowInt(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Pow(2, 2)
|
|
}
|
|
}
|
|
|
|
func BenchmarkPowFrac(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Pow(2.5, 1.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkPow10Pos(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Pow10(300)
|
|
}
|
|
}
|
|
|
|
func BenchmarkPow10Neg(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Pow10(-300)
|
|
}
|
|
}
|
|
|
|
func BenchmarkRemainder(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Remainder(10, 3)
|
|
}
|
|
}
|
|
|
|
func BenchmarkSignbit(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Signbit(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkSin(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Sin(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkSincos(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Sincos(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkSinh(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Sinh(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkSqrt(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Sqrt(10)
|
|
}
|
|
}
|
|
|
|
func BenchmarkSqrtGo(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
SqrtGo(10)
|
|
}
|
|
}
|
|
|
|
func BenchmarkTan(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Tan(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkTanh(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Tanh(2.5)
|
|
}
|
|
}
|
|
func BenchmarkTrunc(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Trunc(.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkY0(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Y0(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkY1(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Y1(2.5)
|
|
}
|
|
}
|
|
|
|
func BenchmarkYn(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
Yn(2, 2.5)
|
|
}
|
|
}
|