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| // 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
| WORD $0xEC3139BC //risbg %r3,%r1,57,128+60,3
| BYTE $0x03
| BYTE $0x55
| 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
| WORD $0xEC3139BC //risbg %r3,%r1,57,128+60,3
| BYTE $0x03
| BYTE $0x55
| 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
| WORD $0xEC21000F //risbgn %r2,%r1,64-64+0,64-64+0+16-1,64-0-16
| BYTE $0x30
| BYTE $0x59
| 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
| WORD $0xEC21000F //risbgn %r2,%r1,64-64+0,64-64+0+16-1,64-0-16
| BYTE $0x30
| BYTE $0x59
| 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
|
|
