diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_atanf4_core_sse4.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_atanf4_core_sse4.S | 164 |
1 files changed, 164 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_atanf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_atanf4_core_sse4.S new file mode 100644 index 0000000000..c58a894e10 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_atanf4_core_sse4.S @@ -0,0 +1,164 @@ +/* Function atanf vectorized with SSE4. + Copyright (C) 2021 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * For 0.0 <= x <= 7.0/16.0: atan(x) = atan(0.0) + atan(s), where s=(x-0.0)/(1.0+0.0*x) + * For 7.0/16.0 <= x <= 11.0/16.0: atan(x) = atan(0.5) + atan(s), where s=(x-0.5)/(1.0+0.5*x) + * For 11.0/16.0 <= x <= 19.0/16.0: atan(x) = atan(1.0) + atan(s), where s=(x-1.0)/(1.0+1.0*x) + * For 19.0/16.0 <= x <= 39.0/16.0: atan(x) = atan(1.5) + atan(s), where s=(x-1.5)/(1.0+1.5*x) + * For 39.0/16.0 <= x <= inf : atan(x) = atan(inf) + atan(s), where s=-1.0/x + * Where atan(s) ~= s+s^3*Poly11(s^2) on interval |s|<7.0/0.16. + * + */ + +/* Offsets for data table __svml_satan_data_internal + */ +#define _sSIGN_MASK 0 +#define _sABS_MASK 16 +#define _sONE 32 +#define _sPIO2 48 +#define _sPC8 64 +#define _sPC7 80 +#define _sPC6 96 +#define _sPC5 112 +#define _sPC4 128 +#define _sPC3 144 +#define _sPC2 160 +#define _sPC1 176 +#define _sPC0 192 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN4v_atanf_sse4) +/* + * To use minps\maxps operations for argument reduction + * uncomment _AT_USEMINMAX_ definition + * Declarations + * Variables + * Constants + */ + movups _sABS_MASK+__svml_satan_data_internal(%rip), %xmm2 + +/* + * 1) If x>1, then r=-1/x, PIO2=Pi/2 + * 2) If -1<=x<=1, then r=x, PIO2=0 + * 3) If x<-1, then r=-1/x, PIO2=-Pi/2 + */ + movups _sONE+__svml_satan_data_internal(%rip), %xmm1 + andps %xmm0, %xmm2 + movaps %xmm2, %xmm9 + movaps %xmm1, %xmm3 + cmpleps %xmm1, %xmm9 + maxps %xmm2, %xmm3 + minps %xmm2, %xmm1 + divps %xmm3, %xmm1 + movups __svml_satan_data_internal(%rip), %xmm4 + movaps %xmm9, %xmm10 + andps %xmm4, %xmm0 + andnps %xmm4, %xmm9 + pxor %xmm0, %xmm9 + pxor %xmm1, %xmm9 + +/* Polynomial. */ + movaps %xmm9, %xmm8 + mulps %xmm9, %xmm8 + movaps %xmm8, %xmm7 + mulps %xmm8, %xmm7 + movups _sPC8+__svml_satan_data_internal(%rip), %xmm6 + mulps %xmm7, %xmm6 + movups _sPC7+__svml_satan_data_internal(%rip), %xmm5 + mulps %xmm7, %xmm5 + addps _sPC6+__svml_satan_data_internal(%rip), %xmm6 + mulps %xmm7, %xmm6 + addps _sPC5+__svml_satan_data_internal(%rip), %xmm5 + mulps %xmm7, %xmm5 + addps _sPC4+__svml_satan_data_internal(%rip), %xmm6 + mulps %xmm7, %xmm6 + addps _sPC3+__svml_satan_data_internal(%rip), %xmm5 + mulps %xmm5, %xmm7 + addps _sPC2+__svml_satan_data_internal(%rip), %xmm6 + mulps %xmm8, %xmm6 + addps _sPC1+__svml_satan_data_internal(%rip), %xmm7 + andnps _sPIO2+__svml_satan_data_internal(%rip), %xmm10 + addps %xmm6, %xmm7 + mulps %xmm7, %xmm8 + pxor %xmm0, %xmm10 + addps _sPC0+__svml_satan_data_internal(%rip), %xmm8 + +/* Reconstruction. */ + mulps %xmm8, %xmm9 + addps %xmm9, %xmm10 + movaps %xmm10, %xmm0 + ret + +END(_ZGVbN4v_atanf_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_satan_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(16)) VUINT32 _sSIGN_MASK[4][1]; + __declspec(align(16)) VUINT32 _sABS_MASK[4][1]; + __declspec(align(16)) VUINT32 _sONE[4][1]; + __declspec(align(16)) VUINT32 _sPIO2[4][1]; + __declspec(align(16)) VUINT32 _sPC8[4][1]; + __declspec(align(16)) VUINT32 _sPC7[4][1]; + __declspec(align(16)) VUINT32 _sPC6[4][1]; + __declspec(align(16)) VUINT32 _sPC5[4][1]; + __declspec(align(16)) VUINT32 _sPC4[4][1]; + __declspec(align(16)) VUINT32 _sPC3[4][1]; + __declspec(align(16)) VUINT32 _sPC2[4][1]; + __declspec(align(16)) VUINT32 _sPC1[4][1]; + __declspec(align(16)) VUINT32 _sPC0[4][1]; +} __svml_satan_data_internal; +#endif +__svml_satan_data_internal: + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 //_sSIGN_MASK + .align 16 + .long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF //_sABS_MASK + .align 16 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 //_sONE + .align 16 + .long 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB //_sPIO2 + .align 16 + .long 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0 //_sPC8 + .align 16 + .long 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631 //_sPC7 + .align 16 + .long 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384 //_sPC6 + .align 16 + .long 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629 //_sPC5 + .align 16 + .long 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474 //_sPC4 + .align 16 + .long 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8 //_sPC3 + .align 16 + .long 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F //_sPC2 + .align 16 + .long 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49 //_sPC1 + .align 16 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 //_sPC0 + .align 16 + .type __svml_satan_data_internal,@object + .size __svml_satan_data_internal,.-__svml_satan_data_internal |