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Diffstat (limited to 'src/pkg/math/sincos_amd64.s')
| -rw-r--r-- | src/pkg/math/sincos_amd64.s | 145 |
1 files changed, 0 insertions, 145 deletions
diff --git a/src/pkg/math/sincos_amd64.s b/src/pkg/math/sincos_amd64.s deleted file mode 100644 index dae636b24..000000000 --- a/src/pkg/math/sincos_amd64.s +++ /dev/null @@ -1,145 +0,0 @@ -// Copyright 2010 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" - -// The method is based on a paper by Naoki Shibata: "Efficient evaluation -// methods of elementary functions suitable for SIMD computation", Proc. -// of International Supercomputing Conference 2010 (ISC'10), pp. 25 -- 32 -// (May 2010). The paper is available at -// http://www.springerlink.com/content/340228x165742104/ -// -// The original code and the constants below are from the author's -// implementation available at http://freshmeat.net/projects/sleef. -// The README file says, "The software is in public domain. -// You can use the software without any obligation." -// -// This code is a simplified version of the original. The CMPSD -// instruction, not generated by the compiler, eliminates jumps in the -// body of the calculation. - -#define PosOne 0x3FF0000000000000 -#define PosInf 0x7FF0000000000000 -#define NaN 0x7FF8000000000001 -#define PI4A 0.7853981554508209228515625 // pi/4 split into three parts -#define PI4B 0.794662735614792836713604629039764404296875e-8 -#define PI4C 0.306161699786838294306516483068750264552437361480769e-16 -#define M4PI 1.273239544735162542821171882678754627704620361328125 // 4/pi -#define T0 1.0 -#define T1 -8.33333333333333333333333e-02 // (-1.0/12) -#define T2 2.77777777777777777777778e-03 // (+1.0/360) -#define T3 -4.96031746031746031746032e-05 // (-1.0/20160) -#define T4 5.51146384479717813051146e-07 // (+1.0/1814400) - -// func Sincos(d float64) (sin, cos float64) -TEXT ·Sincos(SB),NOSPLIT,$0 - // test for special cases - MOVQ $~(1<<63), DX // sign bit mask - MOVQ x+0(FP), BX - ANDQ BX, DX - JEQ isZero - MOVQ $PosInf, AX - CMPQ AX, DX - JLE isInfOrNaN - // Reduce argument - MOVQ BX, X7 // x7= d - MOVQ DX, X0 // x0= |d| - MOVSD $M4PI, X2 - MULSD X0, X2 - CVTTSD2SQ X2, BX // bx= q - MOVQ $1, AX - ANDQ BX, AX - ADDQ BX, AX - CVTSQ2SD AX, X2 - MOVSD $PI4A, X3 - MULSD X2, X3 - SUBSD X3, X0 - MOVSD $PI4B, X3 - MULSD X2, X3 - SUBSD X3, X0 - MOVSD $PI4C, X3 - MULSD X2, X3 - SUBSD X3, X0 - MULSD $0.125, X0 // x0= x, x7= d, bx= q - // Evaluate Taylor series - MULSD X0, X0 - MOVSD $T4, X2 - MULSD X0, X2 - ADDSD $T3, X2 - MULSD X0, X2 - ADDSD $T2, X2 - MULSD X0, X2 - ADDSD $T1, X2 - MULSD X0, X2 - ADDSD $T0, X2 - MULSD X2, X0 // x0= x, x7= d, bx= q - // Apply double angle formula - MOVSD $4.0, X2 - SUBSD X0, X2 - MULSD X2, X0 - MOVSD $4.0, X2 - SUBSD X0, X2 - MULSD X2, X0 - MOVSD $4.0, X2 - SUBSD X0, X2 - MULSD X2, X0 - MULSD $0.5, X0 // x0= x, x7= d, bx= q - // sin = sqrt((2 - x) * x) - MOVSD $2.0, X2 - SUBSD X0, X2 - MULSD X0, X2 - SQRTSD X2, X2 // x0= x, x2= z, x7= d, bx= q - // cos = 1 - x - MOVSD $1.0, X1 - SUBSD X0, X1 // x1= x, x2= z, x7= d, bx= q - // if ((q + 1) & 2) != 0 { sin, cos = cos, sin } - MOVQ $1, DX - ADDQ BX, DX - MOVQ $2, AX - ANDQ AX, DX - MOVQ DX, X0 - MOVSD $0.0, X3 - CMPSD X0, X3, 0 // cmpeq; x1= x, x2= z, x3 = y, x7= d, bx= q - // sin = (y & z) | (^y & x) - MOVAPD X2, X0 - ANDPD X3, X0 // x0= sin - MOVAPD X3, X4 - ANDNPD X1, X4 - ORPD X4, X0 // x0= sin, x1= x, x2= z, x3= y, x7= d, bx= q - // cos = (y & x) | (^y & z) - ANDPD X3, X1 // x1= cos - ANDNPD X2, X3 - ORPD X3, X1 // x0= sin, x1= cos, x7= d, bx= q - // if ((q & 4) != 0) != (d < 0) { sin = -sin } - MOVQ BX, AX - MOVQ $61, CX - SHLQ CX, AX - MOVQ AX, X3 - XORPD X7, X3 - MOVQ $(1<<63), AX - MOVQ AX, X2 // x2= -0.0 - ANDPD X2, X3 - ORPD X3, X0 // x0= sin, x1= cos, x2= -0.0, bx= q - // if ((q + 2) & 4) != 0 { cos = -cos } - MOVQ $2, AX - ADDQ AX, BX - MOVQ $61, CX - SHLQ CX, BX - MOVQ BX, X3 - ANDPD X2, X3 - ORPD X3, X1 // x0= sin, x1= cos - // return (sin, cos) - MOVSD X0, sin+8(FP) - MOVSD X1, cos+16(FP) - RET -isZero: // return (±0.0, 1.0) - MOVQ BX, sin+8(FP) - MOVQ $PosOne, AX - MOVQ AX, cos+16(FP) - RET -isInfOrNaN: // return (NaN, NaN) - MOVQ $NaN, AX - MOVQ AX, sin+8(FP) - MOVQ AX, cos+16(FP) - RET |