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| -rw-r--r-- | src/math/tanh_s390x.s | 169 |
1 files changed, 169 insertions, 0 deletions
diff --git a/src/math/tanh_s390x.s b/src/math/tanh_s390x.s new file mode 100644 index 0000000..7e2d4dd --- /dev/null +++ b/src/math/tanh_s390x.s @@ -0,0 +1,169 @@ +// 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" + +// Minimax polynomial approximations +DATA tanhrodataL18<>+0(SB)/8, $-1.0 +DATA tanhrodataL18<>+8(SB)/8, $-2.0 +DATA tanhrodataL18<>+16(SB)/8, $1.0 +DATA tanhrodataL18<>+24(SB)/8, $2.0 +DATA tanhrodataL18<>+32(SB)/8, $0.20000000000000011868E+01 +DATA tanhrodataL18<>+40(SB)/8, $0.13333333333333341256E+01 +DATA tanhrodataL18<>+48(SB)/8, $0.26666666663549111502E+00 +DATA tanhrodataL18<>+56(SB)/8, $0.66666666658721844678E+00 +DATA tanhrodataL18<>+64(SB)/8, $0.88890217768964374821E-01 +DATA tanhrodataL18<>+72(SB)/8, $0.25397199429103821138E-01 +DATA tanhrodataL18<>+80(SB)/8, $-.346573590279972643E+00 +DATA tanhrodataL18<>+88(SB)/8, $20.E0 +GLOBL tanhrodataL18<>+0(SB), RODATA, $96 + +// Constants +DATA tanhrlog2<>+0(SB)/8, $0x4007154760000000 +GLOBL tanhrlog2<>+0(SB), RODATA, $8 +DATA tanhxadd<>+0(SB)/8, $0xc2f0000100003ff0 +GLOBL tanhxadd<>+0(SB), RODATA, $8 +DATA tanhxmone<>+0(SB)/8, $-1.0 +GLOBL tanhxmone<>+0(SB), RODATA, $8 +DATA tanhxzero<>+0(SB)/8, $0 +GLOBL tanhxzero<>+0(SB), RODATA, $8 + +// Polynomial coefficients +DATA tanhtab<>+0(SB)/8, $0.000000000000000000E+00 +DATA tanhtab<>+8(SB)/8, $-.171540871271399150E-01 +DATA tanhtab<>+16(SB)/8, $-.306597931864376363E-01 +DATA tanhtab<>+24(SB)/8, $-.410200970469965021E-01 +DATA tanhtab<>+32(SB)/8, $-.486343079978231466E-01 +DATA tanhtab<>+40(SB)/8, $-.538226193725835820E-01 +DATA tanhtab<>+48(SB)/8, $-.568439602538111520E-01 +DATA tanhtab<>+56(SB)/8, $-.579091847395528847E-01 +DATA tanhtab<>+64(SB)/8, $-.571909584179366341E-01 +DATA tanhtab<>+72(SB)/8, $-.548312665987204407E-01 +DATA tanhtab<>+80(SB)/8, $-.509471843643441085E-01 +DATA tanhtab<>+88(SB)/8, $-.456353588448863359E-01 +DATA tanhtab<>+96(SB)/8, $-.389755254243262365E-01 +DATA tanhtab<>+104(SB)/8, $-.310332908285244231E-01 +DATA tanhtab<>+112(SB)/8, $-.218623539150173528E-01 +DATA tanhtab<>+120(SB)/8, $-.115062908917949451E-01 +GLOBL tanhtab<>+0(SB), RODATA, $128 + +// Tanh returns the hyperbolic tangent of the argument. +// +// Special cases are: +// Tanh(±0) = ±0 +// Tanh(±Inf) = ±1 +// Tanh(NaN) = NaN +// The algorithm used is minimax polynomial approximation using a table of +// polynomial coefficients determined with a Remez exchange algorithm. + +TEXT ·tanhAsm(SB),NOSPLIT,$0-16 + FMOVD x+0(FP), F0 + // special case Tanh(±0) = ±0 + FMOVD $(0.0), F1 + FCMPU F0, F1 + BEQ tanhIsZero + MOVD $tanhrodataL18<>+0(SB), R5 + LTDBR F0, F0 + MOVD $0x4034000000000000, R1 + BLTU L15 + FMOVD F0, F1 +L2: + MOVD $tanhxadd<>+0(SB), R2 + FMOVD 0(R2), F2 + MOVD tanhrlog2<>+0(SB), R2 + LDGR R2, F4 + WFMSDB V0, V4, V2, V4 + MOVD $tanhtab<>+0(SB), R3 + LGDR F4, R2 + RISBGZ $57, $60, $3, R2, R4 + WORD $0xED105058 //cdb %f1,.L19-.L18(%r5) + BYTE $0x00 + BYTE $0x19 + RISBGN $0, $15, $48, R2, R1 + WORD $0x68543000 //ld %f5,0(%r4,%r3) + LDGR R1, F6 + BLT L3 + MOVD $tanhxzero<>+0(SB), R1 + FMOVD 0(R1), F2 + WFCHDBS V0, V2, V4 + BEQ L9 + WFCHDBS V2, V0, V2 + BNE L1 + MOVD $tanhxmone<>+0(SB), R1 + FMOVD 0(R1), F0 + FMOVD F0, ret+8(FP) + RET + +L3: + FADD F4, F2 + FMOVD tanhrodataL18<>+80(SB), F4 + FMADD F4, F2, F0 + FMOVD tanhrodataL18<>+72(SB), F1 + WFMDB V0, V0, V3 + FMOVD tanhrodataL18<>+64(SB), F2 + WFMADB V0, V1, V2, V1 + FMOVD tanhrodataL18<>+56(SB), F4 + FMOVD tanhrodataL18<>+48(SB), F2 + WFMADB V1, V3, V4, V1 + FMOVD tanhrodataL18<>+40(SB), F4 + WFMADB V3, V2, V4, V2 + FMOVD tanhrodataL18<>+32(SB), F4 + WORD $0xB9270022 //lhr %r2,%r2 + WFMADB V3, V1, V4, V1 + FMOVD tanhrodataL18<>+24(SB), F4 + WFMADB V3, V2, V4, V3 + WFMADB V0, V5, V0, V2 + WFMADB V0, V1, V3, V0 + WORD $0xA7183ECF //lhi %r1,16079 + WFMADB V0, V2, V5, V2 + FMUL F6, F2 + MOVW R2, R10 + MOVW R1, R11 + CMPBLE R10, R11, L16 + FMOVD F6, F0 + WORD $0xED005010 //adb %f0,.L28-.L18(%r5) + BYTE $0x00 + BYTE $0x1A + WORD $0xA7184330 //lhi %r1,17200 + FADD F2, F0 + MOVW R2, R10 + MOVW R1, R11 + CMPBGT R10, R11, L17 + WORD $0xED605010 //sdb %f6,.L28-.L18(%r5) + BYTE $0x00 + BYTE $0x1B + FADD F6, F2 + WFDDB V0, V2, V0 + FMOVD F0, ret+8(FP) + RET + +L9: + FMOVD tanhrodataL18<>+16(SB), F0 +L1: + FMOVD F0, ret+8(FP) + RET + +L15: + FNEG F0, F1 + BR L2 +L16: + FADD F6, F2 + FMOVD tanhrodataL18<>+8(SB), F0 + FMADD F4, F2, F0 + FMOVD tanhrodataL18<>+0(SB), F4 + FNEG F0, F0 + WFMADB V0, V2, V4, V0 + FMOVD F0, ret+8(FP) + RET + +L17: + WFDDB V0, V4, V0 + FMOVD tanhrodataL18<>+16(SB), F2 + WFSDB V0, V2, V0 + FMOVD F0, ret+8(FP) + RET + +tanhIsZero: //return ±0 + FMOVD F0, ret+8(FP) + RET |