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// 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