| // 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" |
| |
| // Various constants |
| DATA sincosxnan<>+0(SB)/8, $0x7ff8000000000000 |
| GLOBL sincosxnan<>+0(SB), RODATA, $8 |
| DATA sincosxlim<>+0(SB)/8, $0x432921fb54442d19 |
| GLOBL sincosxlim<>+0(SB), RODATA, $8 |
| DATA sincosxadd<>+0(SB)/8, $0xc338000000000000 |
| GLOBL sincosxadd<>+0(SB), RODATA, $8 |
| DATA sincosxpi2l<>+0(SB)/8, $0.108285667392191389e-31 |
| GLOBL sincosxpi2l<>+0(SB), RODATA, $8 |
| DATA sincosxpi2m<>+0(SB)/8, $0.612323399573676480e-16 |
| GLOBL sincosxpi2m<>+0(SB), RODATA, $8 |
| DATA sincosxpi2h<>+0(SB)/8, $0.157079632679489656e+01 |
| GLOBL sincosxpi2h<>+0(SB), RODATA, $8 |
| DATA sincosrpi2<>+0(SB)/8, $0.636619772367581341e+00 |
| GLOBL sincosrpi2<>+0(SB), RODATA, $8 |
| |
| // Minimax polynomial approximations |
| DATA sincosc0<>+0(SB)/8, $0.100000000000000000E+01 |
| GLOBL sincosc0<>+0(SB), RODATA, $8 |
| DATA sincosc1<>+0(SB)/8, $-.499999999999999833E+00 |
| GLOBL sincosc1<>+0(SB), RODATA, $8 |
| DATA sincosc2<>+0(SB)/8, $0.416666666666625843E-01 |
| GLOBL sincosc2<>+0(SB), RODATA, $8 |
| DATA sincosc3<>+0(SB)/8, $-.138888888885498984E-02 |
| GLOBL sincosc3<>+0(SB), RODATA, $8 |
| DATA sincosc4<>+0(SB)/8, $0.248015871681607202E-04 |
| GLOBL sincosc4<>+0(SB), RODATA, $8 |
| DATA sincosc5<>+0(SB)/8, $-.275572911309937875E-06 |
| GLOBL sincosc5<>+0(SB), RODATA, $8 |
| DATA sincosc6<>+0(SB)/8, $0.208735047247632818E-08 |
| GLOBL sincosc6<>+0(SB), RODATA, $8 |
| DATA sincosc7<>+0(SB)/8, $-.112753632738365317E-10 |
| GLOBL sincosc7<>+0(SB), RODATA, $8 |
| DATA sincoss0<>+0(SB)/8, $0.100000000000000000E+01 |
| GLOBL sincoss0<>+0(SB), RODATA, $8 |
| DATA sincoss1<>+0(SB)/8, $-.166666666666666657E+00 |
| GLOBL sincoss1<>+0(SB), RODATA, $8 |
| DATA sincoss2<>+0(SB)/8, $0.833333333333309209E-02 |
| GLOBL sincoss2<>+0(SB), RODATA, $8 |
| DATA sincoss3<>+0(SB)/8, $-.198412698410701448E-03 |
| GLOBL sincoss3<>+0(SB), RODATA, $8 |
| DATA sincoss4<>+0(SB)/8, $0.275573191453906794E-05 |
| GLOBL sincoss4<>+0(SB), RODATA, $8 |
| DATA sincoss5<>+0(SB)/8, $-.250520918387633290E-07 |
| GLOBL sincoss5<>+0(SB), RODATA, $8 |
| DATA sincoss6<>+0(SB)/8, $0.160571285514715856E-09 |
| GLOBL sincoss6<>+0(SB), RODATA, $8 |
| DATA sincoss7<>+0(SB)/8, $-.753213484933210972E-12 |
| GLOBL sincoss7<>+0(SB), RODATA, $8 |
| |
| // Sin returns the sine of the radian argument x. |
| // |
| // Special cases are: |
| // Sin(±0) = ±0 |
| // Sin(±Inf) = NaN |
| // Sin(NaN) = NaN |
| // The algorithm used is minimax polynomial approximation. |
| // with coefficients determined with a Remez exchange algorithm. |
| |
| TEXT ·sinAsm(SB),NOSPLIT,$0-16 |
| FMOVD x+0(FP), F0 |
| //special case Sin(±0) = ±0 |
| FMOVD $(0.0), F1 |
| FCMPU F0, F1 |
| BEQ sinIsZero |
| LTDBR F0, F0 |
| BLTU L17 |
| FMOVD F0, F5 |
| L2: |
| MOVD $sincoss7<>+0(SB), R1 |
| FMOVD 0(R1), F4 |
| MOVD $sincoss6<>+0(SB), R1 |
| FMOVD 0(R1), F1 |
| MOVD $sincoss5<>+0(SB), R1 |
| VLEG $0, 0(R1), V18 |
| MOVD $sincoss4<>+0(SB), R1 |
| FMOVD 0(R1), F6 |
| MOVD $sincoss2<>+0(SB), R1 |
| VLEG $0, 0(R1), V16 |
| MOVD $sincoss3<>+0(SB), R1 |
| FMOVD 0(R1), F7 |
| MOVD $sincoss1<>+0(SB), R1 |
| FMOVD 0(R1), F3 |
| MOVD $sincoss0<>+0(SB), R1 |
| FMOVD 0(R1), F2 |
| WFCHDBS V2, V5, V2 |
| BEQ L18 |
| MOVD $sincosrpi2<>+0(SB), R1 |
| FMOVD 0(R1), F3 |
| MOVD $sincosxadd<>+0(SB), R1 |
| FMOVD 0(R1), F2 |
| WFMSDB V0, V3, V2, V3 |
| FMOVD 0(R1), F6 |
| FADD F3, F6 |
| MOVD $sincosxpi2h<>+0(SB), R1 |
| FMOVD 0(R1), F2 |
| FMSUB F2, F6, F0 |
| MOVD $sincosxpi2m<>+0(SB), R1 |
| FMOVD 0(R1), F4 |
| FMADD F4, F6, F0 |
| MOVD $sincosxpi2l<>+0(SB), R1 |
| WFMDB V0, V0, V1 |
| FMOVD 0(R1), F7 |
| WFMDB V1, V1, V2 |
| LGDR F3, R1 |
| MOVD $sincosxlim<>+0(SB), R2 |
| TMLL R1, $1 |
| BEQ L6 |
| FMOVD 0(R2), F0 |
| WFCHDBS V0, V5, V0 |
| BNE L14 |
| MOVD $sincosc7<>+0(SB), R2 |
| FMOVD 0(R2), F0 |
| MOVD $sincosc6<>+0(SB), R2 |
| FMOVD 0(R2), F4 |
| MOVD $sincosc5<>+0(SB), R2 |
| WFMADB V1, V0, V4, V0 |
| FMOVD 0(R2), F6 |
| MOVD $sincosc4<>+0(SB), R2 |
| WFMADB V1, V0, V6, V0 |
| FMOVD 0(R2), F4 |
| MOVD $sincosc2<>+0(SB), R2 |
| FMOVD 0(R2), F6 |
| WFMADB V2, V4, V6, V4 |
| MOVD $sincosc3<>+0(SB), R2 |
| FMOVD 0(R2), F3 |
| MOVD $sincosc1<>+0(SB), R2 |
| WFMADB V2, V0, V3, V0 |
| FMOVD 0(R2), F6 |
| WFMADB V1, V4, V6, V4 |
| TMLL R1, $2 |
| WFMADB V2, V0, V4, V0 |
| MOVD $sincosc0<>+0(SB), R1 |
| FMOVD 0(R1), F2 |
| WFMADB V1, V0, V2, V0 |
| BNE L15 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L6: |
| FMOVD 0(R2), F4 |
| WFCHDBS V4, V5, V4 |
| BNE L14 |
| MOVD $sincoss7<>+0(SB), R2 |
| FMOVD 0(R2), F4 |
| MOVD $sincoss6<>+0(SB), R2 |
| FMOVD 0(R2), F3 |
| MOVD $sincoss5<>+0(SB), R2 |
| WFMADB V1, V4, V3, V4 |
| WFMADB V6, V7, V0, V6 |
| FMOVD 0(R2), F0 |
| MOVD $sincoss4<>+0(SB), R2 |
| FMADD F4, F1, F0 |
| FMOVD 0(R2), F3 |
| MOVD $sincoss2<>+0(SB), R2 |
| FMOVD 0(R2), F4 |
| MOVD $sincoss3<>+0(SB), R2 |
| WFMADB V2, V3, V4, V3 |
| FMOVD 0(R2), F4 |
| MOVD $sincoss1<>+0(SB), R2 |
| WFMADB V2, V0, V4, V0 |
| FMOVD 0(R2), F4 |
| WFMADB V1, V3, V4, V3 |
| FNEG F6, F4 |
| WFMADB V2, V0, V3, V2 |
| WFMDB V4, V1, V0 |
| TMLL R1, $2 |
| WFMSDB V0, V2, V6, V0 |
| BNE L15 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L14: |
| MOVD $sincosxnan<>+0(SB), R1 |
| FMOVD 0(R1), F0 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L18: |
| WFMDB V0, V0, V2 |
| WFMADB V2, V4, V1, V4 |
| WFMDB V2, V2, V1 |
| WFMADB V2, V4, V18, V4 |
| WFMADB V1, V6, V16, V6 |
| WFMADB V1, V4, V7, V4 |
| WFMADB V2, V6, V3, V6 |
| FMUL F0, F2 |
| WFMADB V1, V4, V6, V4 |
| FMADD F4, F2, F0 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L17: |
| FNEG F0, F5 |
| BR L2 |
| L15: |
| FNEG F0, F0 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| |
| sinIsZero: |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| // Cos returns the cosine of the radian argument. |
| // |
| // Special cases are: |
| // Cos(±Inf) = NaN |
| // Cos(NaN) = NaN |
| // The algorithm used is minimax polynomial approximation. |
| // with coefficients determined with a Remez exchange algorithm. |
| |
| TEXT ·cosAsm(SB),NOSPLIT,$0-16 |
| FMOVD x+0(FP), F0 |
| LTDBR F0, F0 |
| BLTU L35 |
| FMOVD F0, F1 |
| L21: |
| MOVD $sincosc7<>+0(SB), R1 |
| FMOVD 0(R1), F4 |
| MOVD $sincosc6<>+0(SB), R1 |
| VLEG $0, 0(R1), V20 |
| MOVD $sincosc5<>+0(SB), R1 |
| VLEG $0, 0(R1), V18 |
| MOVD $sincosc4<>+0(SB), R1 |
| FMOVD 0(R1), F6 |
| MOVD $sincosc2<>+0(SB), R1 |
| VLEG $0, 0(R1), V16 |
| MOVD $sincosc3<>+0(SB), R1 |
| FMOVD 0(R1), F7 |
| MOVD $sincosc1<>+0(SB), R1 |
| FMOVD 0(R1), F5 |
| MOVD $sincosrpi2<>+0(SB), R1 |
| FMOVD 0(R1), F2 |
| MOVD $sincosxadd<>+0(SB), R1 |
| FMOVD 0(R1), F3 |
| MOVD $sincoss0<>+0(SB), R1 |
| WFMSDB V0, V2, V3, V2 |
| FMOVD 0(R1), F3 |
| WFCHDBS V3, V1, V3 |
| LGDR F2, R1 |
| BEQ L36 |
| MOVD $sincosxadd<>+0(SB), R2 |
| FMOVD 0(R2), F4 |
| FADD F2, F4 |
| MOVD $sincosxpi2h<>+0(SB), R2 |
| FMOVD 0(R2), F2 |
| WFMSDB V4, V2, V0, V2 |
| MOVD $sincosxpi2m<>+0(SB), R2 |
| FMOVD 0(R2), F0 |
| WFMADB V4, V0, V2, V0 |
| MOVD $sincosxpi2l<>+0(SB), R2 |
| WFMDB V0, V0, V2 |
| FMOVD 0(R2), F5 |
| WFMDB V2, V2, V6 |
| MOVD $sincosxlim<>+0(SB), R2 |
| TMLL R1, $1 |
| BNE L25 |
| FMOVD 0(R2), F0 |
| WFCHDBS V0, V1, V0 |
| BNE L33 |
| MOVD $sincosc7<>+0(SB), R2 |
| FMOVD 0(R2), F0 |
| MOVD $sincosc6<>+0(SB), R2 |
| FMOVD 0(R2), F4 |
| MOVD $sincosc5<>+0(SB), R2 |
| WFMADB V2, V0, V4, V0 |
| FMOVD 0(R2), F1 |
| MOVD $sincosc4<>+0(SB), R2 |
| WFMADB V2, V0, V1, V0 |
| FMOVD 0(R2), F4 |
| MOVD $sincosc2<>+0(SB), R2 |
| FMOVD 0(R2), F1 |
| WFMADB V6, V4, V1, V4 |
| MOVD $sincosc3<>+0(SB), R2 |
| FMOVD 0(R2), F3 |
| MOVD $sincosc1<>+0(SB), R2 |
| WFMADB V6, V0, V3, V0 |
| FMOVD 0(R2), F1 |
| WFMADB V2, V4, V1, V4 |
| TMLL R1, $2 |
| WFMADB V6, V0, V4, V0 |
| MOVD $sincosc0<>+0(SB), R1 |
| FMOVD 0(R1), F4 |
| WFMADB V2, V0, V4, V0 |
| BNE L34 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L25: |
| FMOVD 0(R2), F3 |
| WFCHDBS V3, V1, V1 |
| BNE L33 |
| MOVD $sincoss7<>+0(SB), R2 |
| FMOVD 0(R2), F1 |
| MOVD $sincoss6<>+0(SB), R2 |
| FMOVD 0(R2), F3 |
| MOVD $sincoss5<>+0(SB), R2 |
| WFMADB V2, V1, V3, V1 |
| FMOVD 0(R2), F3 |
| MOVD $sincoss4<>+0(SB), R2 |
| WFMADB V2, V1, V3, V1 |
| FMOVD 0(R2), F3 |
| MOVD $sincoss2<>+0(SB), R2 |
| FMOVD 0(R2), F7 |
| WFMADB V6, V3, V7, V3 |
| MOVD $sincoss3<>+0(SB), R2 |
| FMADD F5, F4, F0 |
| FMOVD 0(R2), F4 |
| MOVD $sincoss1<>+0(SB), R2 |
| FMADD F1, F6, F4 |
| FMOVD 0(R2), F1 |
| FMADD F3, F2, F1 |
| FMUL F0, F2 |
| WFMADB V6, V4, V1, V6 |
| TMLL R1, $2 |
| FMADD F6, F2, F0 |
| BNE L34 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L33: |
| MOVD $sincosxnan<>+0(SB), R1 |
| FMOVD 0(R1), F0 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L36: |
| FMUL F0, F0 |
| MOVD $sincosc0<>+0(SB), R1 |
| WFMDB V0, V0, V1 |
| WFMADB V0, V4, V20, V4 |
| WFMADB V1, V6, V16, V6 |
| WFMADB V0, V4, V18, V4 |
| WFMADB V0, V6, V5, V6 |
| WFMADB V1, V4, V7, V4 |
| FMOVD 0(R1), F2 |
| WFMADB V1, V4, V6, V4 |
| WFMADB V0, V4, V2, V0 |
| FMOVD F0, ret+8(FP) |
| RET |
| |
| L35: |
| FNEG F0, F1 |
| BR L21 |
| L34: |
| FNEG F0, F0 |
| FMOVD F0, ret+8(FP) |
| RET |
