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trig_reduce.go
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Code Editor : log1p_s390x.s
// 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" // Constants DATA ·log1pxlim<> + 0(SB)/4, $0xfff00000 GLOBL ·log1pxlim<> + 0(SB), RODATA, $4 DATA ·log1pxzero<> + 0(SB)/8, $0.0 GLOBL ·log1pxzero<> + 0(SB), RODATA, $8 DATA ·log1pxminf<> + 0(SB)/8, $0xfff0000000000000 GLOBL ·log1pxminf<> + 0(SB), RODATA, $8 DATA ·log1pxnan<> + 0(SB)/8, $0x7ff8000000000000 GLOBL ·log1pxnan<> + 0(SB), RODATA, $8 DATA ·log1pyout<> + 0(SB)/8, $0x40fce621e71da000 GLOBL ·log1pyout<> + 0(SB), RODATA, $8 DATA ·log1pxout<> + 0(SB)/8, $0x40f1000000000000 GLOBL ·log1pxout<> + 0(SB), RODATA, $8 DATA ·log1pxl2<> + 0(SB)/8, $0xbfda7aecbeba4e46 GLOBL ·log1pxl2<> + 0(SB), RODATA, $8 DATA ·log1pxl1<> + 0(SB)/8, $0x3ffacde700000000 GLOBL ·log1pxl1<> + 0(SB), RODATA, $8 DATA ·log1pxa<> + 0(SB)/8, $5.5 GLOBL ·log1pxa<> + 0(SB), RODATA, $8 DATA ·log1pxmone<> + 0(SB)/8, $-1.0 GLOBL ·log1pxmone<> + 0(SB), RODATA, $8 // Minimax polynomial approximations DATA ·log1pc8<> + 0(SB)/8, $0.212881813645679599E-07 GLOBL ·log1pc8<> + 0(SB), RODATA, $8 DATA ·log1pc7<> + 0(SB)/8, $-.148682720127920854E-06 GLOBL ·log1pc7<> + 0(SB), RODATA, $8 DATA ·log1pc6<> + 0(SB)/8, $0.938370938292558173E-06 GLOBL ·log1pc6<> + 0(SB), RODATA, $8 DATA ·log1pc5<> + 0(SB)/8, $-.602107458843052029E-05 GLOBL ·log1pc5<> + 0(SB), RODATA, $8 DATA ·log1pc4<> + 0(SB)/8, $0.397389654305194527E-04 GLOBL ·log1pc4<> + 0(SB), RODATA, $8 DATA ·log1pc3<> + 0(SB)/8, $-.273205381970859341E-03 GLOBL ·log1pc3<> + 0(SB), RODATA, $8 DATA ·log1pc2<> + 0(SB)/8, $0.200350613573012186E-02 GLOBL ·log1pc2<> + 0(SB), RODATA, $8 DATA ·log1pc1<> + 0(SB)/8, $-.165289256198351540E-01 GLOBL ·log1pc1<> + 0(SB), RODATA, $8 DATA ·log1pc0<> + 0(SB)/8, $0.181818181818181826E+00 GLOBL ·log1pc0<> + 0(SB), RODATA, $8 // Table of log10 correction terms DATA ·log1ptab<> + 0(SB)/8, $0.585235384085551248E-01 DATA ·log1ptab<> + 8(SB)/8, $0.412206153771168640E-01 DATA ·log1ptab<> + 16(SB)/8, $0.273839003221648339E-01 DATA ·log1ptab<> + 24(SB)/8, $0.166383778368856480E-01 DATA ·log1ptab<> + 32(SB)/8, $0.866678223433169637E-02 DATA ·log1ptab<> + 40(SB)/8, $0.319831684989627514E-02 DATA ·log1ptab<> + 48(SB)/8, $-.000000000000000000E+00 DATA ·log1ptab<> + 56(SB)/8, $-.113006378583725549E-02 DATA ·log1ptab<> + 64(SB)/8, $-.367979419636602491E-03 DATA ·log1ptab<> + 72(SB)/8, $0.213172484510484979E-02 DATA ·log1ptab<> + 80(SB)/8, $0.623271047682013536E-02 DATA ·log1ptab<> + 88(SB)/8, $0.118140812789696885E-01 DATA ·log1ptab<> + 96(SB)/8, $0.187681358930914206E-01 DATA ·log1ptab<> + 104(SB)/8, $0.269985148668178992E-01 DATA ·log1ptab<> + 112(SB)/8, $0.364186619761331328E-01 DATA ·log1ptab<> + 120(SB)/8, $0.469505379381388441E-01 GLOBL ·log1ptab<> + 0(SB), RODATA, $128 // Log1p returns the natural logarithm of 1 plus its argument x. // It is more accurate than Log(1 + x) when x is near zero. // // Special cases are: // Log1p(+Inf) = +Inf // Log1p(±0) = ±0 // Log1p(-1) = -Inf // Log1p(x < -1) = NaN // Log1p(NaN) = NaN // The algorithm used is minimax polynomial approximation // with coefficients determined with a Remez exchange algorithm. TEXT ·log1pAsm(SB), NOSPLIT, $0-16 FMOVD x+0(FP), F0 MOVD $·log1pxmone<>+0(SB), R1 MOVD ·log1pxout<>+0(SB), R2 FMOVD 0(R1), F3 MOVD $·log1pxa<>+0(SB), R1 MOVWZ ·log1pxlim<>+0(SB), R0 FMOVD 0(R1), F1 MOVD $·log1pc8<>+0(SB), R1 FMOVD 0(R1), F5 MOVD $·log1pc7<>+0(SB), R1 VLEG $0, 0(R1), V20 MOVD $·log1pc6<>+0(SB), R1 WFSDB V0, V3, V4 VLEG $0, 0(R1), V18 MOVD $·log1pc5<>+0(SB), R1 VLEG $0, 0(R1), V16 MOVD R2, R5 LGDR F4, R3 WORD $0xC0190006 //iilf %r1,425983 BYTE $0x7F BYTE $0xFF SRAD $32, R3, R3 SUBW R3, R1 SRW $16, R1, R1 BYTE $0x18 //lr %r4,%r1 BYTE $0x41 RISBGN $0, $15, $48, R4, R2 RISBGN $16, $31, $32, R4, R5 MOVW R0, R6 MOVW R3, R7 CMPBGT R6, R7, L8 WFCEDBS V4, V4, V6 MOVD $·log1pxzero<>+0(SB), R1 FMOVD 0(R1), F2 BVS LEXITTAGlog1p WORD $0xB3130044 // lcdbr %f4,%f4 WFCEDBS V2, V4, V6 BEQ L9 WFCHDBS V4, V2, V2 BEQ LEXITTAGlog1p MOVD $·log1pxnan<>+0(SB), R1 FMOVD 0(R1), F0 FMOVD F0, ret+8(FP) RET L8: LDGR R2, F2 FSUB F4, F3 FMADD F2, F4, F1 MOVD $·log1pc4<>+0(SB), R2 WORD $0xB3130041 // lcdbr %f4,%f1 FMOVD 0(R2), F7 FSUB F3, F0 MOVD $·log1pc3<>+0(SB), R2 FMOVD 0(R2), F3 MOVD $·log1pc2<>+0(SB), R2 WFMDB V1, V1, V6 FMADD F7, F4, F3 WFMSDB V0, V2, V1, V0 FMOVD 0(R2), F7 WFMADB V4, V5, V20, V5 MOVD $·log1pc1<>+0(SB), R2 FMOVD 0(R2), F2 FMADD F7, F4, F2 WFMADB V4, V18, V16, V4 FMADD F3, F6, F2 WFMADB V5, V6, V4, V5 FMUL F6, F6 MOVD $·log1pc0<>+0(SB), R2 WFMADB V6, V5, V2, V6 FMOVD 0(R2), F4 WFMADB V0, V6, V4, V6 RISBGZ $57, $60, $3, R1, R1 MOVD $·log1ptab<>+0(SB), R2 MOVD $·log1pxl1<>+0(SB), R3 WORD $0x68112000 //ld %f1,0(%r1,%r2) FMOVD 0(R3), F2 WFMADB V0, V6, V1, V0 MOVD $·log1pyout<>+0(SB), R1 LDGR R5, F6 FMOVD 0(R1), F4 WFMSDB V2, V6, V4, V2 MOVD $·log1pxl2<>+0(SB), R1 FMOVD 0(R1), F4 FMADD F4, F2, F0 FMOVD F0, ret+8(FP) RET L9: MOVD $·log1pxminf<>+0(SB), R1 FMOVD 0(R1), F0 FMOVD F0, ret+8(FP) RET LEXITTAGlog1p: FMOVD F0, ret+8(FP) RET
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