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go/src/math/stubs_mips64x.s

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all: make copyright headers consistent with one space after period This is a subset of https://golang.org/cl/20022 with only the copyright header lines, so the next CL will be smaller and more reviewable. Go policy has been single space after periods in comments for some time. The copyright header template at: https://golang.org/doc/contribute.html#copyright also uses a single space. Make them all consistent. Change-Id: Icc26c6b8495c3820da6b171ca96a74701b4a01b0 Reviewed-on: https://go-review.googlesource.com/20111 Run-TryBot: Brad Fitzpatrick <bradfitz@golang.org> Reviewed-by: Ian Lance Taylor <iant@golang.org> Reviewed-by: Matthew Dempsky <mdempsky@google.com> TryBot-Result: Gobot Gobot <gobot@golang.org>
2016-03-01 15:57:46 -07:00
// Copyright 2014 The Go Authors. All rights reserved.
math, math/big: added support for mips64{,le} Change-Id: I5129a5b9dbbc57d97da723c2fc247bd28f951817 Reviewed-on: https://go-review.googlesource.com/14451 Reviewed-by: Minux Ma <minux@golang.org>
2015-09-09 20:39:45 -06:00
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// +build mips64 mips64le
#include "textflag.h"
TEXT ·Asin(SB),NOSPLIT,$0
JMP ·asin(SB)
TEXT ·Acos(SB),NOSPLIT,$0
JMP ·acos(SB)
math: use SIMD to accelerate additional scalar math functions on s390x 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>
2017-03-24 14:43:02 -06:00
TEXT ·Asinh(SB),NOSPLIT,$0
JMP ·asinh(SB)
TEXT ·Acosh(SB),NOSPLIT,$0
JMP ·acosh(SB)
math, math/big: added support for mips64{,le} Change-Id: I5129a5b9dbbc57d97da723c2fc247bd28f951817 Reviewed-on: https://go-review.googlesource.com/14451 Reviewed-by: Minux Ma <minux@golang.org>
2015-09-09 20:39:45 -06:00
TEXT ·Atan2(SB),NOSPLIT,$0
JMP ·atan2(SB)
TEXT ·Atan(SB),NOSPLIT,$0
JMP ·atan(SB)
math: use SIMD to accelerate additional scalar math functions on s390x 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>
2017-03-24 14:43:02 -06:00
TEXT ·Atanh(SB),NOSPLIT,$0
JMP ·atanh(SB)
math, math/big: added support for mips64{,le} Change-Id: I5129a5b9dbbc57d97da723c2fc247bd28f951817 Reviewed-on: https://go-review.googlesource.com/14451 Reviewed-by: Minux Ma <minux@golang.org>
2015-09-09 20:39:45 -06:00
TEXT ·Dim(SB),NOSPLIT,$0
JMP ·dim(SB)
TEXT ·Min(SB),NOSPLIT,$0
JMP ·min(SB)
TEXT ·Max(SB),NOSPLIT,$0
JMP ·max(SB)
math: use SIMD to accelerate additional scalar math functions on s390x 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>
2017-03-24 14:43:02 -06:00
TEXT ·Erf(SB),NOSPLIT,$0
JMP ·erf(SB)
TEXT ·Erfc(SB),NOSPLIT,$0
JMP ·erfc(SB)
math, math/big: added support for mips64{,le} Change-Id: I5129a5b9dbbc57d97da723c2fc247bd28f951817 Reviewed-on: https://go-review.googlesource.com/14451 Reviewed-by: Minux Ma <minux@golang.org>
2015-09-09 20:39:45 -06:00
TEXT ·Exp2(SB),NOSPLIT,$0
JMP ·exp2(SB)
TEXT ·Expm1(SB),NOSPLIT,$0
JMP ·expm1(SB)
TEXT ·Exp(SB),NOSPLIT,$0
JMP ·exp(SB)
TEXT ·Floor(SB),NOSPLIT,$0
JMP ·floor(SB)
TEXT ·Ceil(SB),NOSPLIT,$0
JMP ·ceil(SB)
TEXT ·Trunc(SB),NOSPLIT,$0
JMP ·trunc(SB)
TEXT ·Frexp(SB),NOSPLIT,$0
JMP ·frexp(SB)
TEXT ·Hypot(SB),NOSPLIT,$0
JMP ·hypot(SB)
TEXT ·Ldexp(SB),NOSPLIT,$0
JMP ·ldexp(SB)
TEXT ·Log10(SB),NOSPLIT,$0
JMP ·log10(SB)
TEXT ·Log2(SB),NOSPLIT,$0
JMP ·log2(SB)
TEXT ·Log1p(SB),NOSPLIT,$0
JMP ·log1p(SB)
TEXT ·Log(SB),NOSPLIT,$0
JMP ·log(SB)
TEXT ·Modf(SB),NOSPLIT,$0
JMP ·modf(SB)
TEXT ·Mod(SB),NOSPLIT,$0
JMP ·mod(SB)
TEXT ·Remainder(SB),NOSPLIT,$0
JMP ·remainder(SB)
TEXT ·Sin(SB),NOSPLIT,$0
JMP ·sin(SB)
math: use SIMD to accelerate some scalar math functions on s390x Note, most math functions are structured to use stubs, so that they can be accelerated with assembly on any platform. Sinh, cosh, and tanh were not structued with stubs, so this CL does that. This set of routines was chosen as likely to produce good speedups with assembly on any platform. Technique used was minimax polynomial approximation using tables of polynomial coefficients, with argument range reduction. A table of scaling factors was also used for cosh and log10. before after speedup BenchmarkCos 22.1 ns/op 6.79 ns/op 3.25x BenchmarkCosh 125 ns/op 11.7 ns/op 10.68x BenchmarkLog10 48.4 ns/op 12.5 ns/op 3.87x BenchmarkSin 22.2 ns/op 6.55 ns/op 3.39x BenchmarkSinh 125 ns/op 14.2 ns/op 8.80x BenchmarkTanh 65.0 ns/op 15.1 ns/op 4.30x Accuracy was tested against a high precision reference function to determine maximum error. Approximately 4,000,000 points were tested for each function, producing the following result. Note: ulperr is error in "units in the last place" max ulperr sin 1.43 (returns NaN beyond +-2^50) cos 1.79 (returns NaN beyond +-2^50) cosh 1.05 sinh 3.02 tanh 3.69 log10 1.75 Also includes a set of tests to test non-vector functions even when SIMD is enabled Change-Id: Icb45f14d00864ee19ed973d209c3af21e4df4edc Reviewed-on: https://go-review.googlesource.com/32352 Run-TryBot: Michael Munday <munday@ca.ibm.com> TryBot-Result: Gobot Gobot <gobot@golang.org> Reviewed-by: Michael Munday <munday@ca.ibm.com>
2016-10-29 22:11:37 -06:00
TEXT ·Sinh(SB),NOSPLIT,$0
JMP ·sinh(SB)
math, math/big: added support for mips64{,le} Change-Id: I5129a5b9dbbc57d97da723c2fc247bd28f951817 Reviewed-on: https://go-review.googlesource.com/14451 Reviewed-by: Minux Ma <minux@golang.org>
2015-09-09 20:39:45 -06:00
TEXT ·Cos(SB),NOSPLIT,$0
JMP ·cos(SB)
math: use SIMD to accelerate some scalar math functions on s390x Note, most math functions are structured to use stubs, so that they can be accelerated with assembly on any platform. Sinh, cosh, and tanh were not structued with stubs, so this CL does that. This set of routines was chosen as likely to produce good speedups with assembly on any platform. Technique used was minimax polynomial approximation using tables of polynomial coefficients, with argument range reduction. A table of scaling factors was also used for cosh and log10. before after speedup BenchmarkCos 22.1 ns/op 6.79 ns/op 3.25x BenchmarkCosh 125 ns/op 11.7 ns/op 10.68x BenchmarkLog10 48.4 ns/op 12.5 ns/op 3.87x BenchmarkSin 22.2 ns/op 6.55 ns/op 3.39x BenchmarkSinh 125 ns/op 14.2 ns/op 8.80x BenchmarkTanh 65.0 ns/op 15.1 ns/op 4.30x Accuracy was tested against a high precision reference function to determine maximum error. Approximately 4,000,000 points were tested for each function, producing the following result. Note: ulperr is error in "units in the last place" max ulperr sin 1.43 (returns NaN beyond +-2^50) cos 1.79 (returns NaN beyond +-2^50) cosh 1.05 sinh 3.02 tanh 3.69 log10 1.75 Also includes a set of tests to test non-vector functions even when SIMD is enabled Change-Id: Icb45f14d00864ee19ed973d209c3af21e4df4edc Reviewed-on: https://go-review.googlesource.com/32352 Run-TryBot: Michael Munday <munday@ca.ibm.com> TryBot-Result: Gobot Gobot <gobot@golang.org> Reviewed-by: Michael Munday <munday@ca.ibm.com>
2016-10-29 22:11:37 -06:00
TEXT ·Cosh(SB),NOSPLIT,$0
JMP ·cosh(SB)
math, math/big: added support for mips64{,le} Change-Id: I5129a5b9dbbc57d97da723c2fc247bd28f951817 Reviewed-on: https://go-review.googlesource.com/14451 Reviewed-by: Minux Ma <minux@golang.org>
2015-09-09 20:39:45 -06:00
TEXT ·Sqrt(SB),NOSPLIT,$0
JMP ·sqrt(SB)
TEXT ·Tan(SB),NOSPLIT,$0
JMP ·tan(SB)
math: use SIMD to accelerate some scalar math functions on s390x Note, most math functions are structured to use stubs, so that they can be accelerated with assembly on any platform. Sinh, cosh, and tanh were not structued with stubs, so this CL does that. This set of routines was chosen as likely to produce good speedups with assembly on any platform. Technique used was minimax polynomial approximation using tables of polynomial coefficients, with argument range reduction. A table of scaling factors was also used for cosh and log10. before after speedup BenchmarkCos 22.1 ns/op 6.79 ns/op 3.25x BenchmarkCosh 125 ns/op 11.7 ns/op 10.68x BenchmarkLog10 48.4 ns/op 12.5 ns/op 3.87x BenchmarkSin 22.2 ns/op 6.55 ns/op 3.39x BenchmarkSinh 125 ns/op 14.2 ns/op 8.80x BenchmarkTanh 65.0 ns/op 15.1 ns/op 4.30x Accuracy was tested against a high precision reference function to determine maximum error. Approximately 4,000,000 points were tested for each function, producing the following result. Note: ulperr is error in "units in the last place" max ulperr sin 1.43 (returns NaN beyond +-2^50) cos 1.79 (returns NaN beyond +-2^50) cosh 1.05 sinh 3.02 tanh 3.69 log10 1.75 Also includes a set of tests to test non-vector functions even when SIMD is enabled Change-Id: Icb45f14d00864ee19ed973d209c3af21e4df4edc Reviewed-on: https://go-review.googlesource.com/32352 Run-TryBot: Michael Munday <munday@ca.ibm.com> TryBot-Result: Gobot Gobot <gobot@golang.org> Reviewed-by: Michael Munday <munday@ca.ibm.com>
2016-10-29 22:11:37 -06:00
TEXT ·Tanh(SB),NOSPLIT,$0
JMP ·tanh(SB)
math: use SIMD to accelerate additional scalar math functions on s390x 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>
2017-03-24 14:43:02 -06:00
TEXT ·Cbrt(SB),NOSPLIT,$0
JMP ·cbrt(SB)
TEXT ·Pow(SB),NOSPLIT,$0
JMP ·pow(SB)
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