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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 coshrodataL23<>+0(SB)/8, $0.231904681384629956E-16 DATA coshrodataL23<>+8(SB)/8, $0.693147180559945286E+00 DATA coshrodataL23<>+16(SB)/8, $0.144269504088896339E+01 DATA coshrodataL23<>+24(SB)/8, $704.E0 GLOBL coshrodataL23<>+0(SB), RODATA, $32 DATA coshxinf<>+0(SB)/8, $0x7FF0000000000000 GLOBL coshxinf<>+0(SB), RODATA, $8 DATA coshxlim1<>+0(SB)/8, $800.E0 GLOBL coshxlim1<>+0(SB), RODATA, $8 DATA coshxaddhy<>+0(SB)/8, $0xc2f0000100003fdf GLOBL coshxaddhy<>+0(SB), RODATA, $8 DATA coshx4ff<>+0(SB)/8, $0x4ff0000000000000 GLOBL coshx4ff<>+0(SB), RODATA, $8 DATA coshe1<>+0(SB)/8, $0x3ff000000000000a GLOBL coshe1<>+0(SB), RODATA, $8 // Log multiplier table DATA coshtab<>+0(SB)/8, $0.442737824274138381E-01 DATA coshtab<>+8(SB)/8, $0.263602189790660309E-01 DATA coshtab<>+16(SB)/8, $0.122565642281703586E-01 DATA coshtab<>+24(SB)/8, $0.143757052860721398E-02 DATA coshtab<>+32(SB)/8, $-.651375034121276075E-02 DATA coshtab<>+40(SB)/8, $-.119317678849450159E-01 DATA coshtab<>+48(SB)/8, $-.150868749549871069E-01 DATA coshtab<>+56(SB)/8, $-.161992609578469234E-01 DATA coshtab<>+64(SB)/8, $-.154492360403337917E-01 DATA coshtab<>+72(SB)/8, $-.129850717389178721E-01 DATA coshtab<>+80(SB)/8, $-.892902649276657891E-02 DATA coshtab<>+88(SB)/8, $-.338202636596794887E-02 DATA coshtab<>+96(SB)/8, $0.357266307045684762E-02 DATA coshtab<>+104(SB)/8, $0.118665304327406698E-01 DATA coshtab<>+112(SB)/8, $0.214434994118118914E-01 DATA coshtab<>+120(SB)/8, $0.322580645161290314E-01 GLOBL coshtab<>+0(SB), RODATA, $128 // Minimax polynomial approximations DATA coshe2<>+0(SB)/8, $0.500000000000004237e+00 GLOBL coshe2<>+0(SB), RODATA, $8 DATA coshe3<>+0(SB)/8, $0.166666666630345592e+00 GLOBL coshe3<>+0(SB), RODATA, $8 DATA coshe4<>+0(SB)/8, $0.416666664838056960e-01 GLOBL coshe4<>+0(SB), RODATA, $8 DATA coshe5<>+0(SB)/8, $0.833349307718286047e-02 GLOBL coshe5<>+0(SB), RODATA, $8 DATA coshe6<>+0(SB)/8, $0.138926439368309441e-02 GLOBL coshe6<>+0(SB), RODATA, $8 // Cosh returns the hyperbolic cosine of x. // // Special cases are: // Cosh(±0) = 1 // Cosh(±Inf) = +Inf // Cosh(NaN) = NaN // The algorithm used is minimax polynomial approximation // with coefficients determined with a Remez exchange algorithm. TEXT ·coshAsm(SB),NOSPLIT,$0-16 FMOVD x+0(FP), F0 MOVD $coshrodataL23<>+0(SB), R9 LTDBR F0, F0 MOVD $0x4086000000000000, R2 MOVD $0x4086000000000000, R3 BLTU L19 FMOVD F0, F4 L2: WORD $0xED409018 //cdb %f4,.L24-.L23(%r9) BYTE $0x00 BYTE $0x19 BGE L14 //jnl .L14 BVS L14 WFCEDBS V4, V4, V2 BEQ L20 L1: FMOVD F0, ret+8(FP) RET L14: WFCEDBS V4, V4, V2 BVS L1 MOVD $coshxlim1<>+0(SB), R1 FMOVD 0(R1), F2 WFCHEDBS V4, V2, V2 BEQ L21 MOVD $coshxaddhy<>+0(SB), R1 FMOVD coshrodataL23<>+16(SB), F5 FMOVD 0(R1), F2 WFMSDB V0, V5, V2, V5 FMOVD coshrodataL23<>+8(SB), F3 FADD F5, F2 MOVD $coshe6<>+0(SB), R1 WFMSDB V2, V3, V0, V3 FMOVD 0(R1), F6 WFMDB V3, V3, V1 MOVD $coshe4<>+0(SB), R1 FMOVD coshrodataL23<>+0(SB), F7 WFMADB V2, V7, V3, V2 FMOVD 0(R1), F3 MOVD $coshe5<>+0(SB), R1 WFMADB V1, V6, V3, V6 FMOVD 0(R1), F7 MOVD $coshe3<>+0(SB), R1 FMOVD 0(R1), F3 WFMADB V1, V7, V3, V7 FNEG F2, F3 LGDR F5, R1 MOVD $coshe2<>+0(SB), R3 WFCEDBS V4, V0, V0 FMOVD 0(R3), F5 MOVD $coshe1<>+0(SB), R3 WFMADB V1, V6, V5, V6 FMOVD 0(R3), F5 RISBGN $0, $15, $48, R1, R2 WFMADB V1, V7, V5, V1 BVS L22 RISBGZ $57, $60, $3, R1, R4 MOVD $coshtab<>+0(SB), R3 WFMADB V3, V6, V1, V6 WORD $0x68043000 //ld %f0,0(%r4,%r3) FMSUB F0, F3, F2 WORD $0xA71AF000 //ahi %r1,-4096 WFMADB V2, V6, V0, V6 L17: RISBGN $0, $15, $48, R1, R2 LDGR R2, F2 FMADD F2, F6, F2 MOVD $coshx4ff<>+0(SB), R1 FMOVD 0(R1), F0 FMUL F2, F0 FMOVD F0, ret+8(FP) RET L19: FNEG F0, F4 BR L2 L20: MOVD $coshxaddhy<>+0(SB), R1 FMOVD coshrodataL23<>+16(SB), F3 FMOVD 0(R1), F2 WFMSDB V0, V3, V2, V3 FMOVD coshrodataL23<>+8(SB), F4 FADD F3, F2 MOVD $coshe6<>+0(SB), R1 FMSUB F4, F2, F0 FMOVD 0(R1), F6 WFMDB V0, V0, V1 MOVD $coshe4<>+0(SB), R1 FMOVD 0(R1), F4 MOVD $coshe5<>+0(SB), R1 FMOVD coshrodataL23<>+0(SB), F5 WFMADB V1, V6, V4, V6 FMADD F5, F2, F0 FMOVD 0(R1), F2 MOVD $coshe3<>+0(SB), R1 FMOVD 0(R1), F4 WFMADB V1, V2, V4, V2 MOVD $coshe2<>+0(SB), R1 FMOVD 0(R1), F5 FNEG F0, F4 WFMADB V1, V6, V5, V6 MOVD $coshe1<>+0(SB), R1 FMOVD 0(R1), F5 WFMADB V1, V2, V5, V1 LGDR F3, R1 MOVD $coshtab<>+0(SB), R5 WFMADB V4, V6, V1, V3 RISBGZ $57, $60, $3, R1, R4 WFMSDB V4, V6, V1, V6 WORD $0x68145000 //ld %f1,0(%r4,%r5) WFMSDB V4, V1, V0, V2 WORD $0xA7487FBE //lhi %r4,32702 FMADD F3, F2, F1 SUBW R1, R4 RISBGZ $57, $60, $3, R4, R12 WORD $0x682C5000 //ld %f2,0(%r12,%r5) FMSUB F2, F4, F0 RISBGN $0, $15, $48, R1, R2 WFMADB V0, V6, V2, V6 RISBGN $0, $15, $48, R4, R3 LDGR R2, F2 LDGR R3, F0 FMADD F2, F1, F2 FMADD F0, F6, F0 FADD F2, F0 FMOVD F0, ret+8(FP) RET L22: WORD $0xA7387FBE //lhi %r3,32702 MOVD $coshtab<>+0(SB), R4 SUBW R1, R3 WFMSDB V3, V6, V1, V6 RISBGZ $57, $60, $3, R3, R3 WORD $0x68034000 //ld %f0,0(%r3,%r4) FMSUB F0, F3, F2 WORD $0xA7386FBE //lhi %r3,28606 WFMADB V2, V6, V0, V6 SUBW R1, R3, R1 BR L17 L21: MOVD $coshxinf<>+0(SB), R1 FMOVD 0(R1), F0 FMOVD F0, ret+8(FP) RET