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802a8f88a3
go/src/math
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Brian Kessler 802a8f88a3 math/cmplx: use signed zero to correct branch cuts 
Branch cuts for the elementary complex functions along real or imaginary axes
should be resolved in floating point calculations by one-sided continuity with
signed zero as described in:

"Branch Cuts for Complex Elementary Functions or Much Ado About Nothing's Sign Bit"
W. Kahan

Available at: https://people.freebsd.org/~das/kahan86branch.pdf

And as described in the C99 standard which is claimed as the original cephes source.

Sqrt did not return the correct branch when imag(x) == 0. The branch is now
determined by sign(imag(x)).  This incorrect branch choice was affecting the behavior
of the Trigonometric/Hyperbolic functions that use Sqrt in intermediate calculations.

Asin, Asinh and Atan had spurious domain checks, whereas the functions should be valid
over the whole complex plane with appropriate branch cuts.

Fixes #6888

Change-Id: I9b1278af54f54bfb4208276ae345bbd3ddf3ec83
Reviewed-on: https://go-review.googlesource.com/46492
Run-TryBot: Brad Fitzpatrick <bradfitz@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Russ Cox <rsc@golang.org>
2017-11-27 07:44:00 +00:00
..
big go/printer: indent lone comments in composite lits 2017-11-15 18:48:48 +00:00
bits math/bits: add examples for right rotation 2017-11-03 20:12:07 +00:00
cmplx math/cmplx: use signed zero to correct branch cuts 2017-11-27 07:44:00 +00:00
rand Revert "math/rand: make Perm match Shuffle" 2017-11-16 16:24:30 +00:00
abs.go cmd/compile,math: improve code generation for math.Abs 2017-08-25 19:15:01 +00:00
acos_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
acosh_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
acosh.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
all_test.go math: add RoundToEven function 2017-10-24 22:33:09 +00:00
arith_s390x_test.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
arith_s390x.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
asin_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
asin_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
asin_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
asin_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
asin_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
asin.go
asinh_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
asinh_stub.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
asinh.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
atan2_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan2_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan2_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan2_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan2_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
atan2.go
atan_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
atan_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
atan.go
atanh_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
atanh.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
bits.go math: add RoundToEven function 2017-10-24 22:33:09 +00:00
cbrt_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
cbrt_stub.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
cbrt.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
const.go math: change oeis.org urls to https 2017-08-08 08:56:40 +00:00
copysign.go
cosh_s390x.s cmd/asm, cmd/internal/obj/s390x, math: add LGDR and LDGR instructions 2017-04-17 16:33:51 +00:00
dim_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
dim_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
dim_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
dim_arm64.s math: add some assembly implementations on ARM64 2016-09-27 23:52:12 +00:00
dim_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
dim_s390x.s math: optimize dim and remove s390x assembly implementation 2017-10-30 19:05:51 +00:00
dim.go math: optimize dim and remove s390x assembly implementation 2017-10-30 19:05:51 +00:00
erf_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
erf_stub.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
erf.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
erfc_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
erfinv.go math: implement the erfcinv function 2017-08-22 13:13:20 +00:00
example_test.go math: add examples for trig functions 2017-08-25 20:26:19 +00:00
exp2_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
exp2_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
exp2_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
exp2_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
exp_386.s math: use portable Exp instead of 387 instructions on 386 2016-10-05 03:53:11 +00:00
exp_amd64.s math: implement fast path for Exp 2017-09-20 21:43:00 +00:00
exp_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
exp_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
exp_asm.go math: implement fast path for Exp 2017-09-20 21:43:00 +00:00
exp_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
exp.go math: fix inaccurate result of Exp(1) 2017-08-17 09:01:27 +00:00
expm1_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
expm1_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
expm1_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
expm1_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
expm1_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
expm1.go all: unindent some big chunks of code 2017-08-18 06:59:48 +00:00
export_s390x_test.go math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
export_test.go all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
floor_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
floor_amd64.s cmd/compile: intrinsify math.{Trunc/Ceil/Floor} on amd64 2017-10-31 19:30:54 +00:00
floor_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
floor_arm64.s math: add some assembly implementations on ARM64 2016-09-27 23:52:12 +00:00
floor_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
floor_asm.go internal/cpu: new package to detect cpu features 2017-05-10 17:02:21 +00:00
floor_ppc64x.s math, cmd/internal/obj/ppc64: improve floor, ceil, trunc with asm 2016-09-23 13:03:08 +00:00
floor_s390x.s math: optimize Ceil, Floor and Trunc on s390x 2016-08-26 17:27:13 +00:00
floor.go math: add RoundToEven function 2017-10-24 22:33:09 +00:00
frexp_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
frexp_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
frexp_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
frexp_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
frexp.go build: move package sources from src/pkg to src 2014-09-08 00:08:51 -04:00
gamma.go math: speed up Gamma(+Inf) 2016-10-18 22:12:03 +00:00
hypot_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
hypot_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
hypot_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
hypot_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
hypot.go
j0.go math: speed up bessel functions on AMD64 2016-08-31 14:45:29 +00:00
j1.go math: speed up bessel functions on AMD64 2016-08-31 14:45:29 +00:00
jn.go math: fix typos in Bessel function docs 2017-02-16 22:41:34 +00:00
ldexp_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
ldexp_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
ldexp_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
ldexp_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
ldexp.go
lgamma.go all: single space after period. 2016-03-02 00:13:47 +00:00
log1p_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log1p_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log1p_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log1p_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log1p_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
log1p.go math,math/cmplx: fix linter issues 2016-10-24 23:25:46 +00:00
log10_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log10_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log10_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log10_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log10_s390x.s cmd/asm, cmd/internal/obj/s390x, math: add LGDR and LDGR instructions 2017-04-17 16:33:51 +00:00
log10.go
log_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log_amd64.s math: speed up Log on amd64 2017-03-29 20:36:29 +00:00
log_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
log_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
log.go all: single space after period. 2016-03-02 00:13:47 +00:00
logb.go
mod_386.s
mod_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
mod_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
mod_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
mod.go
modf_386.s all: fix assembly vet issues 2016-08-25 18:52:31 +00:00
modf_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
modf_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
modf_arm64.s all: minor vet fixes 2016-10-24 17:27:37 +00:00
modf_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
modf_ppc64x.s math: implement asm modf for ppc64x 2017-11-02 13:24:32 +00:00
modf.go all: single space after period. 2016-03-02 00:13:47 +00:00
nextafter.go
pow10.go math: speed up and improve accuracy of Pow10 2017-02-22 19:17:04 +00:00
pow_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
pow_stub.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
pow.go math: eliminate overflow in Pow(x,y) for large y 2017-08-16 09:10:10 +00:00
remainder_386.s
remainder_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
remainder_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
remainder_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
remainder.go all: single space after period. 2016-03-02 00:13:47 +00:00
signbit.go
sin_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sin_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sin_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sin_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sin_s390x.s cmd/asm, cmd/internal/obj/s390x, math: add "test under mask" instructions 2017-10-30 23:55:14 +00:00
sin.go math,math/cmplx: fix linter issues 2016-10-24 23:25:46 +00:00
sincos_386.go math: remove asm version of sincos everywhere, except 386 2017-04-24 15:09:18 +00:00
sincos_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sincos.go math: remove asm version of sincos everywhere, except 386 2017-04-24 15:09:18 +00:00
sinh_s390x.s cmd/asm, cmd/internal/obj/s390x, math: add LGDR and LDGR instructions 2017-04-17 16:33:51 +00:00
sinh_stub.s math: use SIMD to accelerate some scalar math functions on s390x 2016-11-11 20:20:23 +00:00
sinh.go math: use SIMD to accelerate some scalar math functions on s390x 2016-11-11 20:20:23 +00:00
sqrt_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sqrt_amd64.s math: make sqrt smaller on AMD64 2016-09-29 15:56:52 +00:00
sqrt_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sqrt_arm64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sqrt_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
sqrt_mipsx.s math, math/big: add support for GOARCH=mips{,le} 2016-11-03 22:55:06 +00:00
sqrt_ppc64x.s all: make copyright headers consistent with one space after period 2016-05-02 13:43:18 +00:00
sqrt_s390x.s math: add functions and stubs for s390x 2016-04-06 23:35:56 +00:00
sqrt.go math: delete unused function sqrtC 2016-03-03 02:29:09 +00:00
stubs_arm64.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
stubs_mips64x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
stubs_mipsx.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
stubs_ppc64x.s math: implement asm modf for ppc64x 2017-11-02 13:24:32 +00:00
stubs_s390x.s math: optimize dim and remove s390x assembly implementation 2017-10-30 19:05:51 +00:00
tan_386.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
tan_amd64.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
tan_amd64p32.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
tan_arm.s all: make copyright headers consistent with one space after period 2016-03-01 23:34:33 +00:00
tan_s390x.s math: use SIMD to accelerate additional scalar math functions on s390x 2017-05-08 19:52:30 +00:00
tan.go math,math/cmplx: fix linter issues 2016-10-24 23:25:46 +00:00
tanh_s390x.s cmd/asm, cmd/internal/obj/s390x, math: add LGDR and LDGR instructions 2017-04-17 16:33:51 +00:00
tanh.go math: use SIMD to accelerate some scalar math functions on s390x 2016-11-11 20:20:23 +00:00
unsafe.go