blob: d684968a3a87e684c80d166369fc3dc229a1186c [file] [log] [blame]
// Copyright 2016 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 sinhrodataL21<>+0(SB)/8, $0.231904681384629956E-16
DATA sinhrodataL21<>+8(SB)/8, $0.693147180559945286E+00
DATA sinhrodataL21<>+16(SB)/8, $704.E0
GLOBL sinhrodataL21<>+0(SB), RODATA, $24
DATA sinhrlog2<>+0(SB)/8, $0x3ff7154760000000
GLOBL sinhrlog2<>+0(SB), RODATA, $8
DATA sinhxinf<>+0(SB)/8, $0x7ff0000000000000
GLOBL sinhxinf<>+0(SB), RODATA, $8
DATA sinhxinit<>+0(SB)/8, $0x3ffb504f333f9de6
GLOBL sinhxinit<>+0(SB), RODATA, $8
DATA sinhxlim1<>+0(SB)/8, $800.E0
GLOBL sinhxlim1<>+0(SB), RODATA, $8
DATA sinhxadd<>+0(SB)/8, $0xc3200001610007fb
GLOBL sinhxadd<>+0(SB), RODATA, $8
DATA sinhx4ff<>+0(SB)/8, $0x4ff0000000000000
GLOBL sinhx4ff<>+0(SB), RODATA, $8
// Minimax polynomial approximations
DATA sinhe0<>+0(SB)/8, $0.11715728752538099300E+01
GLOBL sinhe0<>+0(SB), RODATA, $8
DATA sinhe1<>+0(SB)/8, $0.11715728752538099300E+01
GLOBL sinhe1<>+0(SB), RODATA, $8
DATA sinhe2<>+0(SB)/8, $0.58578643762688526692E+00
GLOBL sinhe2<>+0(SB), RODATA, $8
DATA sinhe3<>+0(SB)/8, $0.19526214587563004497E+00
GLOBL sinhe3<>+0(SB), RODATA, $8
DATA sinhe4<>+0(SB)/8, $0.48815536475176217404E-01
GLOBL sinhe4<>+0(SB), RODATA, $8
DATA sinhe5<>+0(SB)/8, $0.97631072948627397816E-02
GLOBL sinhe5<>+0(SB), RODATA, $8
DATA sinhe6<>+0(SB)/8, $0.16271839297756073153E-02
GLOBL sinhe6<>+0(SB), RODATA, $8
DATA sinhe7<>+0(SB)/8, $0.23245485387271142509E-03
GLOBL sinhe7<>+0(SB), RODATA, $8
DATA sinhe8<>+0(SB)/8, $0.29080955860869629131E-04
GLOBL sinhe8<>+0(SB), RODATA, $8
DATA sinhe9<>+0(SB)/8, $0.32311267157667725278E-05
GLOBL sinhe9<>+0(SB), RODATA, $8
// Sinh returns the hyperbolic sine of the argument.
//
// Special cases are:
// Sinh(±0) = ±0
// Sinh(±Inf) = ±Inf
// Sinh(NaN) = NaN
// The algorithm used is minimax polynomial approximation
// with coefficients determined with a Remez exchange algorithm.
TEXT ·sinhAsm(SB),NOSPLIT,$0-16
FMOVD x+0(FP), F0
//special case Sinh(±0) = ±0
FMOVD $(0.0), F1
FCMPU F0, F1
BEQ sinhIsZero
//special case Sinh(±Inf) = ±Inf
FMOVD $1.797693134862315708145274237317043567981e+308, F1
FCMPU F1, F0
BLEU sinhIsInf
FMOVD $-1.797693134862315708145274237317043567981e+308, F1
FCMPU F1, F0
BGT sinhIsInf
MOVD $sinhrodataL21<>+0(SB), R5
LTDBR F0, F0
MOVD sinhxinit<>+0(SB), R1
FMOVD F0, F4
MOVD R1, R3
BLTU L19
FMOVD F0, F2
L2:
WORD $0xED205010 //cdb %f2,.L22-.L21(%r5)
BYTE $0x00
BYTE $0x19
BGE L15 //jnl .L15
BVS L15
WFCEDBS V2, V2, V0
BEQ L20
L12:
FMOVD F4, F0
FMOVD F0, ret+8(FP)
RET
L15:
WFCEDBS V2, V2, V0
BVS L12
MOVD $sinhxlim1<>+0(SB), R2
FMOVD 0(R2), F0
WFCHDBS V0, V2, V0
BEQ L6
WFCHEDBS V4, V2, V6
MOVD $sinhxinf<>+0(SB), R1
FMOVD 0(R1), F0
BNE LEXITTAGsinh
WFCHDBS V2, V4, V2
BNE L16
FNEG F0, F0
FMOVD F0, ret+8(FP)
RET
L19:
FNEG F0, F2
BR L2
L6:
MOVD $sinhxadd<>+0(SB), R2
FMOVD 0(R2), F0
MOVD sinhrlog2<>+0(SB), R2
LDGR R2, F6
WFMSDB V4, V6, V0, V16
FMOVD sinhrodataL21<>+8(SB), F6
WFADB V0, V16, V0
FMOVD sinhrodataL21<>+0(SB), F3
WFMSDB V0, V6, V4, V6
MOVD $sinhe9<>+0(SB), R2
WFMADB V0, V3, V6, V0
FMOVD 0(R2), F1
MOVD $sinhe7<>+0(SB), R2
WFMDB V0, V0, V6
FMOVD 0(R2), F5
MOVD $sinhe8<>+0(SB), R2
FMOVD 0(R2), F3
MOVD $sinhe6<>+0(SB), R2
WFMADB V6, V1, V5, V1
FMOVD 0(R2), F5
MOVD $sinhe5<>+0(SB), R2
FMOVD 0(R2), F7
MOVD $sinhe3<>+0(SB), R2
WFMADB V6, V3, V5, V3
FMOVD 0(R2), F5
MOVD $sinhe4<>+0(SB), R2
WFMADB V6, V7, V5, V7
FMOVD 0(R2), F5
MOVD $sinhe2<>+0(SB), R2
VLEG $0, 0(R2), V20
WFMDB V6, V6, V18
WFMADB V6, V5, V20, V5
WFMADB V1, V18, V7, V1
FNEG F0, F0
WFMADB V3, V18, V5, V3
MOVD $sinhe1<>+0(SB), R3
WFCEDBS V2, V4, V2
FMOVD 0(R3), F5
MOVD $sinhe0<>+0(SB), R3
WFMADB V6, V1, V5, V1
FMOVD 0(R3), F5
VLGVG $0, V16, R2
WFMADB V6, V3, V5, V6
RLL $3, R2, R2
RISBGN $0, $15, $48, R2, R1
BEQ L9
WFMSDB V0, V1, V6, V0
MOVD $sinhx4ff<>+0(SB), R3
FNEG F0, F0
FMOVD 0(R3), F2
FMUL F2, F0
ANDW $0xFFFF, R2
WORD $0xA53FEFB6 //llill %r3,61366
SUBW R2, R3, R2
RISBGN $0, $15, $48, R2, R1
LDGR R1, F2
FMUL F2, F0
FMOVD F0, ret+8(FP)
RET
L20:
MOVD $sinhxadd<>+0(SB), R2
FMOVD 0(R2), F2
MOVD sinhrlog2<>+0(SB), R2
LDGR R2, F0
WFMSDB V4, V0, V2, V6
FMOVD sinhrodataL21<>+8(SB), F0
FADD F6, F2
MOVD $sinhe9<>+0(SB), R2
FMSUB F0, F2, F4
FMOVD 0(R2), F1
FMOVD sinhrodataL21<>+0(SB), F3
MOVD $sinhe7<>+0(SB), R2
FMADD F3, F2, F4
FMOVD 0(R2), F0
MOVD $sinhe8<>+0(SB), R2
WFMDB V4, V4, V2
FMOVD 0(R2), F3
MOVD $sinhe6<>+0(SB), R2
FMOVD 0(R2), F5
LGDR F6, R2
RLL $3, R2, R2
RISBGN $0, $15, $48, R2, R1
WFMADB V2, V1, V0, V1
LDGR R1, F0
MOVD $sinhe5<>+0(SB), R1
WFMADB V2, V3, V5, V3
FMOVD 0(R1), F5
MOVD $sinhe3<>+0(SB), R1
FMOVD 0(R1), F6
WFMDB V2, V2, V7
WFMADB V2, V5, V6, V5
WORD $0xA7487FB6 //lhi %r4,32694
FNEG F4, F4
ANDW $0xFFFF, R2
SUBW R2, R4, R2
RISBGN $0, $15, $48, R2, R3
LDGR R3, F6
WFADB V0, V6, V16
MOVD $sinhe4<>+0(SB), R1
WFMADB V1, V7, V5, V1
WFMDB V4, V16, V4
FMOVD 0(R1), F5
MOVD $sinhe2<>+0(SB), R1
VLEG $0, 0(R1), V16
MOVD $sinhe1<>+0(SB), R1
WFMADB V2, V5, V16, V5
VLEG $0, 0(R1), V16
WFMADB V3, V7, V5, V3
WFMADB V2, V1, V16, V1
FSUB F6, F0
FMUL F1, F4
MOVD $sinhe0<>+0(SB), R1
FMOVD 0(R1), F6
WFMADB V2, V3, V6, V2
WFMADB V0, V2, V4, V0
FMOVD F0, ret+8(FP)
RET
L9:
WFMADB V0, V1, V6, V0
MOVD $sinhx4ff<>+0(SB), R3
FMOVD 0(R3), F2
FMUL F2, F0
WORD $0xA72AF000 //ahi %r2,-4096
RISBGN $0, $15, $48, R2, R1
LDGR R1, F2
FMUL F2, F0
FMOVD F0, ret+8(FP)
RET
L16:
FMOVD F0, ret+8(FP)
RET
LEXITTAGsinh:
sinhIsInf:
sinhIsZero:
FMOVD F0, ret+8(FP)
RET