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Diffstat (limited to '')
-rw-r--r-- | src/math/atanh_s390x.s | 174 |
1 files changed, 174 insertions, 0 deletions
diff --git a/src/math/atanh_s390x.s b/src/math/atanh_s390x.s new file mode 100644 index 0000000..c4ec2b2 --- /dev/null +++ b/src/math/atanh_s390x.s @@ -0,0 +1,174 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +#include "textflag.h" + +// Minimax polynomial coefficients and other constants +DATA ·atanhrodataL10<> + 0(SB)/8, $.41375273347623353626 +DATA ·atanhrodataL10<> + 8(SB)/8, $.51487302528619766235E+04 +DATA ·atanhrodataL10<> + 16(SB)/8, $-1.67526912689208984375 +DATA ·atanhrodataL10<> + 24(SB)/8, $0.181818181818181826E+00 +DATA ·atanhrodataL10<> + 32(SB)/8, $-.165289256198351540E-01 +DATA ·atanhrodataL10<> + 40(SB)/8, $0.200350613573012186E-02 +DATA ·atanhrodataL10<> + 48(SB)/8, $0.397389654305194527E-04 +DATA ·atanhrodataL10<> + 56(SB)/8, $-.273205381970859341E-03 +DATA ·atanhrodataL10<> + 64(SB)/8, $0.938370938292558173E-06 +DATA ·atanhrodataL10<> + 72(SB)/8, $-.148682720127920854E-06 +DATA ·atanhrodataL10<> + 80(SB)/8, $ 0.212881813645679599E-07 +DATA ·atanhrodataL10<> + 88(SB)/8, $-.602107458843052029E-05 +DATA ·atanhrodataL10<> + 96(SB)/8, $-5.5 +DATA ·atanhrodataL10<> + 104(SB)/8, $-0.5 +DATA ·atanhrodataL10<> + 112(SB)/8, $0.0 +DATA ·atanhrodataL10<> + 120(SB)/8, $0x7ff8000000000000 //Nan +DATA ·atanhrodataL10<> + 128(SB)/8, $-1.0 +DATA ·atanhrodataL10<> + 136(SB)/8, $1.0 +DATA ·atanhrodataL10<> + 144(SB)/8, $1.0E-20 +GLOBL ·atanhrodataL10<> + 0(SB), RODATA, $152 + +// Table of log correction terms +DATA ·atanhtab2076<> + 0(SB)/8, $0.585235384085551248E-01 +DATA ·atanhtab2076<> + 8(SB)/8, $0.412206153771168640E-01 +DATA ·atanhtab2076<> + 16(SB)/8, $0.273839003221648339E-01 +DATA ·atanhtab2076<> + 24(SB)/8, $0.166383778368856480E-01 +DATA ·atanhtab2076<> + 32(SB)/8, $0.866678223433169637E-02 +DATA ·atanhtab2076<> + 40(SB)/8, $0.319831684989627514E-02 +DATA ·atanhtab2076<> + 48(SB)/8, $0.000000000000000000E+00 +DATA ·atanhtab2076<> + 56(SB)/8, $-.113006378583725549E-02 +DATA ·atanhtab2076<> + 64(SB)/8, $-.367979419636602491E-03 +DATA ·atanhtab2076<> + 72(SB)/8, $0.213172484510484979E-02 +DATA ·atanhtab2076<> + 80(SB)/8, $0.623271047682013536E-02 +DATA ·atanhtab2076<> + 88(SB)/8, $0.118140812789696885E-01 +DATA ·atanhtab2076<> + 96(SB)/8, $0.187681358930914206E-01 +DATA ·atanhtab2076<> + 104(SB)/8, $0.269985148668178992E-01 +DATA ·atanhtab2076<> + 112(SB)/8, $0.364186619761331328E-01 +DATA ·atanhtab2076<> + 120(SB)/8, $0.469505379381388441E-01 +GLOBL ·atanhtab2076<> + 0(SB), RODATA, $128 + +// Table of +/- .5 +DATA ·atanhtabh2075<> + 0(SB)/8, $0.5 +DATA ·atanhtabh2075<> + 8(SB)/8, $-.5 +GLOBL ·atanhtabh2075<> + 0(SB), RODATA, $16 + +// Atanh returns the inverse hyperbolic tangent of the argument. +// +// Special cases are: +// Atanh(1) = +Inf +// Atanh(±0) = ±0 +// Atanh(-1) = -Inf +// Atanh(x) = NaN if x < -1 or x > 1 +// Atanh(NaN) = NaN +// The algorithm used is minimax polynomial approximation +// with coefficients determined with a Remez exchange algorithm. + +TEXT ·atanhAsm(SB), NOSPLIT, $0-16 + FMOVD x+0(FP), F0 + MOVD $·atanhrodataL10<>+0(SB), R5 + LGDR F0, R1 + WORD $0xC0393FEF //iilf %r3,1072693247 + BYTE $0xFF + BYTE $0xFF + SRAD $32, R1 + WORD $0xB9170021 //llgtr %r2,%r1 + MOVW R2, R6 + MOVW R3, R7 + CMPBGT R6, R7, L2 + WORD $0xC0392FFF //iilf %r3,805306367 + BYTE $0xFF + BYTE $0xFF + MOVW R2, R6 + MOVW R3, R7 + CMPBGT R6, R7, L9 +L3: + FMOVD 144(R5), F2 + FMADD F2, F0, F0 +L1: + FMOVD F0, ret+8(FP) + RET + +L2: + WORD $0xED005088 //cdb %f0,.L12-.L10(%r5) + BYTE $0x00 + BYTE $0x19 + BEQ L5 + WORD $0xED005080 //cdb %f0,.L13-.L10(%r5) + BYTE $0x00 + BYTE $0x19 + BEQ L5 + WFCEDBS V0, V0, V2 + BVS L1 + FMOVD 120(R5), F0 + BR L1 +L5: + WORD $0xED005070 //ddb %f0,.L15-.L10(%r5) + BYTE $0x00 + BYTE $0x1D + FMOVD F0, ret+8(FP) + RET + +L9: + FMOVD F0, F2 + MOVD $·atanhtabh2075<>+0(SB), R2 + SRW $31, R1, R1 + FMOVD 104(R5), F4 + MOVW R1, R1 + SLD $3, R1, R1 + WORD $0x68012000 //ld %f0,0(%r1,%r2) + WFMADB V2, V4, V0, V4 + VLEG $0, 96(R5), V16 + FDIV F4, F2 + WORD $0xC0298006 //iilf %r2,2147909631 + BYTE $0x7F + BYTE $0xFF + FMOVD 88(R5), F6 + FMOVD 80(R5), F1 + FMOVD 72(R5), F7 + FMOVD 64(R5), F5 + FMOVD F2, F4 + WORD $0xED405088 //adb %f4,.L12-.L10(%r5) + BYTE $0x00 + BYTE $0x1A + LGDR F4, R4 + SRAD $32, R4 + FMOVD F4, F3 + WORD $0xED305088 //sdb %f3,.L12-.L10(%r5) + BYTE $0x00 + BYTE $0x1B + SUBW R4, R2 + WFSDB V3, V2, V3 + RISBGZ $32, $47, $0, R2, R1 + SLD $32, R1, R1 + LDGR R1, F2 + WFMADB V4, V2, V16, V4 + SRAW $8, R2, R1 + WFMADB V4, V5, V6, V5 + WFMDB V4, V4, V6 + WFMADB V4, V1, V7, V1 + WFMADB V2, V3, V4, V2 + WFMADB V1, V6, V5, V1 + FMOVD 56(R5), F3 + FMOVD 48(R5), F5 + WFMADB V4, V5, V3, V4 + FMOVD 40(R5), F3 + FMADD F1, F6, F4 + FMOVD 32(R5), F1 + FMADD F3, F2, F1 + ANDW $0xFFFFFF00, R1 + WFMADB V6, V4, V1, V6 + FMOVD 24(R5), F3 + ORW $0x45000000, R1 + WFMADB V2, V6, V3, V6 + VLVGF $0, R1, V4 + LDEBR F4, F4 + RISBGZ $57, $60, $51, R2, R2 + MOVD $·atanhtab2076<>+0(SB), R1 + FMOVD 16(R5), F3 + WORD $0x68521000 //ld %f5,0(%r2,%r1) + FMOVD 8(R5), F1 + WFMADB V2, V6, V5, V2 + WFMADB V4, V3, V1, V4 + FMOVD 0(R5), F6 + FMADD F6, F4, F2 + FMUL F2, F0 + FMOVD F0, ret+8(FP) + RET |