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88672de7af
As necessary, math functions were structured to use stubs, so that they can
be accelerated with assembly on any platform.
Technique used was minimax polynomial approximation using tables of
polynomial coefficients, with argument range reduction.
Benchmark New Old Speedup
BenchmarkAcos 12.2 47.5 3.89
BenchmarkAcosh 18.5 56.2 3.04
BenchmarkAsin 13.1 40.6 3.10
BenchmarkAsinh 19.4 62.8 3.24
BenchmarkAtan 10.1 23 2.28
BenchmarkAtanh 19.1 53.2 2.79
BenchmarkAtan2 16.5 33.9 2.05
BenchmarkCbrt 14.8 58 3.92
BenchmarkErf 10.8 20.1 1.86
BenchmarkErfc 11.2 23.5 2.10
BenchmarkExp 8.77 53.8 6.13
BenchmarkExpm1 10.1 38.3 3.79
BenchmarkLog 13.1 40.1 3.06
BenchmarkLog1p 12.7 38.3 3.02
BenchmarkPowInt 31.7 40.5 1.28
BenchmarkPowFrac 33.1 141 4.26
BenchmarkTan 11.5 30 2.61
Accuracy was tested against a high precision
reference function to determine maximum error.
Note: ulperr is error in "units in the last place"
max
ulperr
Acos 1.15
Acosh 1.07
Asin 2.22
Asinh 1.72
Atan 1.41
Atanh 3.00
Atan2 1.45
Cbrt 1.18
Erf 1.29
Erfc 4.82
Exp 1.00
Expm1 2.26
Log 0.94
Log1p 2.39
Tan 3.14
Pow will have 99.99% correctly rounded results with reasonable inputs
producing numeric (non Inf or NaN) results
Change-Id: I850e8cf7b70426e8b54ec49d74acd4cddc8c6cb2
Reviewed-on: https://go-review.googlesource.com/38585
Reviewed-by: Michael Munday <munday@ca.ibm.com>
Run-TryBot: Michael Munday <munday@ca.ibm.com>
TryBot-Result: Gobot Gobot <gobot@golang.org>
78 lines
2.0 KiB
Go
78 lines
2.0 KiB
Go
// Copyright 2016 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
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func log10TrampolineSetup(x float64) float64
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func log10Asm(x float64) float64
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func cosTrampolineSetup(x float64) float64
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func cosAsm(x float64) float64
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func coshTrampolineSetup(x float64) float64
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func coshAsm(x float64) float64
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func sinTrampolineSetup(x float64) float64
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func sinAsm(x float64) float64
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func sinhTrampolineSetup(x float64) float64
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func sinhAsm(x float64) float64
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func tanhTrampolineSetup(x float64) float64
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func tanhAsm(x float64) float64
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func log1pTrampolineSetup(x float64) float64
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func log1pAsm(x float64) float64
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func atanhTrampolineSetup(x float64) float64
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func atanhAsm(x float64) float64
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func acosTrampolineSetup(x float64) float64
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func acosAsm(x float64) float64
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func acoshTrampolineSetup(x float64) float64
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func acoshAsm(x float64) float64
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func asinTrampolineSetup(x float64) float64
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func asinAsm(x float64) float64
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func asinhTrampolineSetup(x float64) float64
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func asinhAsm(x float64) float64
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func erfTrampolineSetup(x float64) float64
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func erfAsm(x float64) float64
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func erfcTrampolineSetup(x float64) float64
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func erfcAsm(x float64) float64
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func atanTrampolineSetup(x float64) float64
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func atanAsm(x float64) float64
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func atan2TrampolineSetup(x, y float64) float64
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func atan2Asm(x, y float64) float64
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func cbrtTrampolineSetup(x float64) float64
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func cbrtAsm(x float64) float64
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func logTrampolineSetup(x float64) float64
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func logAsm(x float64) float64
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func tanTrampolineSetup(x float64) float64
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func tanAsm(x float64) float64
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func expTrampolineSetup(x float64) float64
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func expAsm(x float64) float64
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func expm1TrampolineSetup(x float64) float64
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func expm1Asm(x float64) float64
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func powTrampolineSetup(x, y float64) float64
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func powAsm(x, y float64) float64
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// hasVectorFacility reports whether the machine has the z/Architecture
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// vector facility installed and enabled.
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func hasVectorFacility() bool
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var hasVX = hasVectorFacility()
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