// 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 ·asinhrodataL18<> + 0(SB)/8, $0.749999999977387502E-01 DATA ·asinhrodataL18<> + 8(SB)/8, $-.166666666666657082E+00 DATA ·asinhrodataL18<> + 16(SB)/8, $0.303819368237360639E-01 DATA ·asinhrodataL18<> + 24(SB)/8, $-.446428569571752982E-01 DATA ·asinhrodataL18<> + 32(SB)/8, $0.173500047922695924E-01 DATA ·asinhrodataL18<> + 40(SB)/8, $-.223719767210027185E-01 DATA ·asinhrodataL18<> + 48(SB)/8, $0.113655037946822130E-01 DATA ·asinhrodataL18<> + 56(SB)/8, $0.579747490622448943E-02 DATA ·asinhrodataL18<> + 64(SB)/8, $-.139372433914359122E-01 DATA ·asinhrodataL18<> + 72(SB)/8, $-.218674325255800840E-02 DATA ·asinhrodataL18<> + 80(SB)/8, $-.891074277756961157E-02 DATA ·asinhrodataL18<> + 88(SB)/8, $.41375273347623353626 DATA ·asinhrodataL18<> + 96(SB)/8, $.51487302528619766235E+04 DATA ·asinhrodataL18<> + 104(SB)/8, $-1.67526912689208984375 DATA ·asinhrodataL18<> + 112(SB)/8, $0.181818181818181826E+00 DATA ·asinhrodataL18<> + 120(SB)/8, $-.165289256198351540E-01 DATA ·asinhrodataL18<> + 128(SB)/8, $0.200350613573012186E-02 DATA ·asinhrodataL18<> + 136(SB)/8, $-.273205381970859341E-03 DATA ·asinhrodataL18<> + 144(SB)/8, $0.397389654305194527E-04 DATA ·asinhrodataL18<> + 152(SB)/8, $0.938370938292558173E-06 DATA ·asinhrodataL18<> + 160(SB)/8, $0.212881813645679599E-07 DATA ·asinhrodataL18<> + 168(SB)/8, $-.602107458843052029E-05 DATA ·asinhrodataL18<> + 176(SB)/8, $-.148682720127920854E-06 DATA ·asinhrodataL18<> + 184(SB)/8, $-5.5 DATA ·asinhrodataL18<> + 192(SB)/8, $1.0 DATA ·asinhrodataL18<> + 200(SB)/8, $1.0E-20 GLOBL ·asinhrodataL18<> + 0(SB), RODATA, $208 // Table of log correction terms DATA ·asinhtab2080<> + 0(SB)/8, $0.585235384085551248E-01 DATA ·asinhtab2080<> + 8(SB)/8, $0.412206153771168640E-01 DATA ·asinhtab2080<> + 16(SB)/8, $0.273839003221648339E-01 DATA ·asinhtab2080<> + 24(SB)/8, $0.166383778368856480E-01 DATA ·asinhtab2080<> + 32(SB)/8, $0.866678223433169637E-02 DATA ·asinhtab2080<> + 40(SB)/8, $0.319831684989627514E-02 DATA ·asinhtab2080<> + 48(SB)/8, $0.0 DATA ·asinhtab2080<> + 56(SB)/8, $-.113006378583725549E-02 DATA ·asinhtab2080<> + 64(SB)/8, $-.367979419636602491E-03 DATA ·asinhtab2080<> + 72(SB)/8, $0.213172484510484979E-02 DATA ·asinhtab2080<> + 80(SB)/8, $0.623271047682013536E-02 DATA ·asinhtab2080<> + 88(SB)/8, $0.118140812789696885E-01 DATA ·asinhtab2080<> + 96(SB)/8, $0.187681358930914206E-01 DATA ·asinhtab2080<> + 104(SB)/8, $0.269985148668178992E-01 DATA ·asinhtab2080<> + 112(SB)/8, $0.364186619761331328E-01 DATA ·asinhtab2080<> + 120(SB)/8, $0.469505379381388441E-01 GLOBL ·asinhtab2080<> + 0(SB), RODATA, $128 // Asinh returns the inverse hyperbolic sine of the argument. // // Special cases are: // Asinh(±0) = ±0 // Asinh(±Inf) = ±Inf // Asinh(NaN) = NaN // The algorithm used is minimax polynomial approximation // with coefficients determined with a Remez exchange algorithm. TEXT ·asinhAsm(SB), NOSPLIT, $0-16 FMOVD x+0(FP), F0 MOVD $·asinhrodataL18<>+0(SB), R9 WORD $0xB3CD00C0 //lgdr %r12, %f0 WORD $0xC0293FDF //iilf %r2,1071644671 BYTE $0xFF BYTE $0xFF SRAD $32, R12 WORD $0xB917001C //llgtr %r1,%r12 MOVW R1, R6 MOVW R2, R7 CMPBLE R6, R7, L2 WORD $0xC0295FEF //iilf %r2,1609564159 BYTE $0xFF BYTE $0xFF MOVW R2, R7 CMPBLE R6, R7, L14 L3: WORD $0xC0297FEF //iilf %r2,2146435071 BYTE $0xFF BYTE $0xFF CMPW R1, R2 BGT L1 WORD $0xB3120000 //ltdbr %f0,%f0 FMOVD F0, F10 BLTU L15 L9: FMOVD $0, F0 WFADB V0, V10, V0 WORD $0xC0398006 //iilf %r3,2147909631 BYTE $0x7F BYTE $0xFF WORD $0xB3CD0050 //lgdr %r5, %f0 SRAD $32, R5 MOVH $0x0, R2 SUBW R5, R3 FMOVD $0, F8 WORD $0xEC4320AF //risbg %r4,%r3,32,128+47,0 BYTE $0x00 BYTE $0x55 BYTE $0x18 //lr %r1,%r4 BYTE $0x14 WORD $0xEC24001F //risbgn %r2,%r4,64-64+0,64-64+0+32-1,64-0-32 BYTE $0x20 BYTE $0x59 SUBW $0x100000, R1 SRAW $8, R1, R1 ORW $0x45000000, R1 BR L6 L2: MOVD $0x30000000, R2 CMPW R1, R2 BGT L16 FMOVD 200(R9), F2 FMADD F2, F0, F0 L1: FMOVD F0, ret+8(FP) RET L14: WORD $0xB3120000 //ltdbr %f0,%f0 BLTU L17 FMOVD F0, F10 L4: FMOVD 192(R9), F2 WFMADB V0, V0, V2, V0 WORD $0xB3120000 //ltdbr %f0,%f0 FSQRT F0, F8 L5: WFADB V8, V10, V0 WORD $0xC0398006 //iilf %r3,2147909631 BYTE $0x7F BYTE $0xFF WORD $0xB3CD0050 //lgdr %r5, %f0 SRAD $32, R5 MOVH $0x0, R2 SUBW R5, R3 WORD $0xEC4320AF //risbg %r4,%r3,32,128+47,0 BYTE $0x00 BYTE $0x55 SRAW $8, R4, R1 WORD $0xEC24001F //risbgn %r2,%r4,64-64+0,64-64+0+32-1,64-0-32 BYTE $0x20 BYTE $0x59 ORW $0x45000000, R1 L6: WORD $0xB3C10022 //ldgr %f2,%r2 FMOVD 184(R9), F0 WFMADB V8, V2, V0, V8 FMOVD 176(R9), F4 WFMADB V10, V2, V8, V2 FMOVD 168(R9), F0 FMOVD 160(R9), F6 FMOVD 152(R9), F1 WFMADB V2, V6, V4, V6 WFMADB V2, V1, V0, V1 WFMDB V2, V2, V4 FMOVD 144(R9), F0 WFMADB V6, V4, V1, V6 FMOVD 136(R9), F1 WORD $0xEC3339BC //risbg %r3,%r3,57,128+60,64-13 BYTE $0x33 BYTE $0x55 WFMADB V2, V0, V1, V0 FMOVD 128(R9), F1 WFMADB V4, V6, V0, V6 FMOVD 120(R9), F0 WFMADB V2, V1, V0, V1 VLVGF $0, R1, V0 WFMADB V4, V6, V1, V4 LDEBR F0, F0 FMOVD 112(R9), F6 WFMADB V2, V4, V6, V4 MOVD $·asinhtab2080<>+0(SB), R1 FMOVD 104(R9), F1 WORD $0x68331000 //ld %f3,0(%r3,%r1) FMOVD 96(R9), F6 WFMADB V2, V4, V3, V2 WFMADB V0, V1, V6, V0 FMOVD 88(R9), F4 WFMADB V0, V4, V2, V0 MOVD R12, R6 CMPBGT R6, $0, L1 WORD $0xB3130000 //lcdbr %f0,%f0 FMOVD F0, ret+8(FP) RET L16: WFMDB V0, V0, V1 FMOVD 80(R9), F6 WFMDB V1, V1, V4 FMOVD 72(R9), F2 WFMADB V4, V2, V6, V2 FMOVD 64(R9), F3 FMOVD 56(R9), F6 WFMADB V4, V2, V3, V2 FMOVD 48(R9), F3 WFMADB V4, V6, V3, V6 FMOVD 40(R9), F5 FMOVD 32(R9), F3 WFMADB V4, V2, V5, V2 WFMADB V4, V6, V3, V6 FMOVD 24(R9), F5 FMOVD 16(R9), F3 WFMADB V4, V2, V5, V2 WFMADB V4, V6, V3, V6 FMOVD 8(R9), F5 FMOVD 0(R9), F3 WFMADB V4, V2, V5, V2 WFMADB V4, V6, V3, V4 WFMDB V0, V1, V6 WFMADB V1, V4, V2, V4 FMADD F4, F6, F0 FMOVD F0, ret+8(FP) RET L17: WORD $0xB31300A0 //lcdbr %f10,%f0 BR L4 L15: WORD $0xB31300A0 //lcdbr %f10,%f0 BR L9