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-rw-r--r-- | src/math/expm1_s390x.s | 194 |
1 files changed, 194 insertions, 0 deletions
diff --git a/src/math/expm1_s390x.s b/src/math/expm1_s390x.s new file mode 100644 index 0000000..16c861b --- /dev/null +++ b/src/math/expm1_s390x.s @@ -0,0 +1,194 @@ +// 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 approximation and other constants +DATA ·expm1rodataL22<> + 0(SB)/8, $-1.0 +DATA ·expm1rodataL22<> + 8(SB)/8, $800.0E+00 +DATA ·expm1rodataL22<> + 16(SB)/8, $1.0 +DATA ·expm1rodataL22<> + 24(SB)/8, $-.231904681384629956E-16 +DATA ·expm1rodataL22<> + 32(SB)/8, $0.50000000000000029671E+00 +DATA ·expm1rodataL22<> + 40(SB)/8, $0.16666666666666676570E+00 +DATA ·expm1rodataL22<> + 48(SB)/8, $0.83333333323590973444E-02 +DATA ·expm1rodataL22<> + 56(SB)/8, $0.13889096526400683566E-02 +DATA ·expm1rodataL22<> + 64(SB)/8, $0.41666666661701152924E-01 +DATA ·expm1rodataL22<> + 72(SB)/8, $0.19841562053987360264E-03 +DATA ·expm1rodataL22<> + 80(SB)/8, $-.693147180559945286E+00 +DATA ·expm1rodataL22<> + 88(SB)/8, $0.144269504088896339E+01 +DATA ·expm1rodataL22<> + 96(SB)/8, $704.0E+00 +GLOBL ·expm1rodataL22<> + 0(SB), RODATA, $104 + +DATA ·expm1xmone<> + 0(SB)/8, $0xbff0000000000000 +GLOBL ·expm1xmone<> + 0(SB), RODATA, $8 +DATA ·expm1xinf<> + 0(SB)/8, $0x7ff0000000000000 +GLOBL ·expm1xinf<> + 0(SB), RODATA, $8 +DATA ·expm1x4ff<> + 0(SB)/8, $0x4ff0000000000000 +GLOBL ·expm1x4ff<> + 0(SB), RODATA, $8 +DATA ·expm1x2ff<> + 0(SB)/8, $0x2ff0000000000000 +GLOBL ·expm1x2ff<> + 0(SB), RODATA, $8 +DATA ·expm1xaddexp<> + 0(SB)/8, $0xc2f0000100003ff0 +GLOBL ·expm1xaddexp<> + 0(SB), RODATA, $8 + +// Log multipliers table +DATA ·expm1tab<> + 0(SB)/8, $0.0 +DATA ·expm1tab<> + 8(SB)/8, $-.171540871271399150E-01 +DATA ·expm1tab<> + 16(SB)/8, $-.306597931864376363E-01 +DATA ·expm1tab<> + 24(SB)/8, $-.410200970469965021E-01 +DATA ·expm1tab<> + 32(SB)/8, $-.486343079978231466E-01 +DATA ·expm1tab<> + 40(SB)/8, $-.538226193725835820E-01 +DATA ·expm1tab<> + 48(SB)/8, $-.568439602538111520E-01 +DATA ·expm1tab<> + 56(SB)/8, $-.579091847395528847E-01 +DATA ·expm1tab<> + 64(SB)/8, $-.571909584179366341E-01 +DATA ·expm1tab<> + 72(SB)/8, $-.548312665987204407E-01 +DATA ·expm1tab<> + 80(SB)/8, $-.509471843643441085E-01 +DATA ·expm1tab<> + 88(SB)/8, $-.456353588448863359E-01 +DATA ·expm1tab<> + 96(SB)/8, $-.389755254243262365E-01 +DATA ·expm1tab<> + 104(SB)/8, $-.310332908285244231E-01 +DATA ·expm1tab<> + 112(SB)/8, $-.218623539150173528E-01 +DATA ·expm1tab<> + 120(SB)/8, $-.115062908917949451E-01 +GLOBL ·expm1tab<> + 0(SB), RODATA, $128 + +// Expm1 returns e**x - 1, the base-e exponential of x minus 1. +// It is more accurate than Exp(x) - 1 when x is near zero. +// +// Special cases are: +// Expm1(+Inf) = +Inf +// Expm1(-Inf) = -1 +// Expm1(NaN) = NaN +// Very large values overflow to -1 or +Inf. +// The algorithm used is minimax polynomial approximation using a table of +// polynomial coefficients determined with a Remez exchange algorithm. + +TEXT ·expm1Asm(SB), NOSPLIT, $0-16 + FMOVD x+0(FP), F0 + MOVD $·expm1rodataL22<>+0(SB), R5 + LTDBR F0, F0 + BLTU L20 + FMOVD F0, F2 +L2: + WORD $0xED205060 //cdb %f2,.L23-.L22(%r5) + BYTE $0x00 + BYTE $0x19 + BGE L16 + BVS L16 + WFCEDBS V2, V2, V2 + BVS LEXITTAGexpm1 + MOVD $·expm1xaddexp<>+0(SB), R1 + FMOVD 88(R5), F1 + FMOVD 0(R1), F2 + WFMSDB V0, V1, V2, V1 + FMOVD 80(R5), F6 + WFADB V1, V2, V4 + FMOVD 72(R5), F2 + FMADD F6, F4, F0 + FMOVD 64(R5), F3 + FMOVD 56(R5), F6 + FMOVD 48(R5), F5 + FMADD F2, F0, F6 + WFMADB V0, V5, V3, V5 + WFMDB V0, V0, V2 + LGDR F1, R1 + WFMADB V6, V2, V5, V6 + FMOVD 40(R5), F3 + FMOVD 32(R5), F5 + WFMADB V0, V3, V5, V3 + FMOVD 24(R5), F5 + WFMADB V2, V6, V3, V2 + FMADD F5, F4, F0 + FMOVD 16(R5), F6 + WFMADB V0, V2, V6, V2 + RISBGZ $57, $60, $3, R1, R3 + WORD $0xB3130022 //lcdbr %f2,%f2 + MOVD $·expm1tab<>+0(SB), R2 + WORD $0x68432000 //ld %f4,0(%r3,%r2) + FMADD F4, F0, F0 + SLD $48, R1, R2 + WFMSDB V2, V0, V4, V0 + LDGR R2, F4 + WORD $0xB3130000 //lcdbr %f0,%f0 + FSUB F4, F6 + WFMSDB V0, V4, V6, V0 + FMOVD F0, ret+8(FP) + RET +L16: + WFCEDBS V2, V2, V4 + BVS LEXITTAGexpm1 + WORD $0xED205008 //cdb %f2,.L34-.L22(%r5) + BYTE $0x00 + BYTE $0x19 + BLT L6 + WFCEDBS V2, V0, V0 + BVS L7 + MOVD $·expm1xinf<>+0(SB), R1 + FMOVD 0(R1), F0 + FMOVD F0, ret+8(FP) + RET +L20: + WORD $0xB3130020 //lcdbr %f2,%f0 + BR L2 +L6: + MOVD $·expm1xaddexp<>+0(SB), R1 + FMOVD 88(R5), F5 + FMOVD 0(R1), F4 + WFMSDB V0, V5, V4, V5 + FMOVD 80(R5), F3 + WFADB V5, V4, V1 + VLEG $0, 48(R5), V16 + WFMADB V1, V3, V0, V3 + FMOVD 56(R5), F4 + FMOVD 64(R5), F7 + FMOVD 72(R5), F6 + WFMADB V3, V16, V7, V16 + WFMADB V3, V6, V4, V6 + WFMDB V3, V3, V4 + MOVD $·expm1tab<>+0(SB), R2 + WFMADB V6, V4, V16, V6 + VLEG $0, 32(R5), V16 + FMOVD 40(R5), F7 + WFMADB V3, V7, V16, V7 + VLEG $0, 24(R5), V16 + WFMADB V4, V6, V7, V4 + WFMADB V1, V16, V3, V1 + FMOVD 16(R5), F6 + FMADD F4, F1, F6 + LGDR F5, R1 + WORD $0xB3130066 //lcdbr %f6,%f6 + RISBGZ $57, $60, $3, R1, R3 + WORD $0x68432000 //ld %f4,0(%r3,%r2) + FMADD F4, F1, F1 + MOVD $0x4086000000000000, R2 + FMSUB F1, F6, F4 + WORD $0xB3130044 //lcdbr %f4,%f4 + WFCHDBS V2, V0, V0 + BEQ L21 + ADDW $0xF000, R1 + RISBGN $0, $15, $48, R1, R2 + LDGR R2, F0 + FMADD F0, F4, F0 + MOVD $·expm1x4ff<>+0(SB), R3 + FMOVD 0(R5), F4 + FMOVD 0(R3), F2 + WFMADB V2, V0, V4, V0 + FMOVD F0, ret+8(FP) + RET +L7: + MOVD $·expm1xmone<>+0(SB), R1 + FMOVD 0(R1), F0 + FMOVD F0, ret+8(FP) + RET +L21: + ADDW $0x1000, R1 + RISBGN $0, $15, $48, R1, R2 + LDGR R2, F0 + FMADD F0, F4, F0 + MOVD $·expm1x2ff<>+0(SB), R3 + FMOVD 0(R5), F4 + FMOVD 0(R3), F2 + WFMADB V2, V0, V4, V0 + FMOVD F0, ret+8(FP) + RET +LEXITTAGexpm1: + FMOVD F0, ret+8(FP) + RET |