diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_acosf4_core_sse4.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_acosf4_core_sse4.S | 270 |
1 files changed, 270 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_acosf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_acosf4_core_sse4.S new file mode 100644 index 0000000000..3b7c25a961 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_acosf4_core_sse4.S @@ -0,0 +1,270 @@ +/* Function acosf 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: + * + * SelMask = (|x| >= 0.5) ? 1 : 0; + * R = SelMask ? sqrt(0.5 - 0.5*|x|) : |x| + * acos(|x|) = SelMask ? 2*Poly(R) : (Pi/2 - Poly(R)) + * acos(x) = sign(x) ? (Pi - acos(|x|)) : acos(|x|) + * + * + */ + +/* Offsets for data table __svml_sacos_data_internal + */ +#define SgnBit 0 +#define OneHalf 16 +#define SmallNorm 32 +#define MOne 48 +#define Two 64 +#define sqrt_coeff 80 +#define poly_coeff 112 +#define Pi2H 192 +#define PiH 208 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN4v_acosf_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + +/* X<X^2 iff X<0 */ + movaps %xmm0, %xmm14 + +/* + * 2*sqrt(X) ~ Sh - Sl (to 24+ bits) + * SQ ~ 2*sqrt(X) + */ + movups __svml_sacos_data_internal(%rip), %xmm3 + movups OneHalf+__svml_sacos_data_internal(%rip), %xmm5 + +/* x = -|arg| */ + movaps %xmm3, %xmm4 + orps %xmm0, %xmm4 + +/* Y = 0.5 + 0.5*(-x) */ + movaps %xmm5, %xmm6 + mulps %xmm4, %xmm6 + +/* x^2 */ + movaps %xmm4, %xmm13 + mulps %xmm4, %xmm13 + addps %xmm6, %xmm5 + +/* SQ ~ 2*sqrt(Y) */ + rsqrtps %xmm5, %xmm8 + minps %xmm5, %xmm13 + movaps %xmm5, %xmm2 + movaps %xmm13, %xmm1 + cmpltps SmallNorm+__svml_sacos_data_internal(%rip), %xmm2 + cmpnltps %xmm5, %xmm1 + cmpltps %xmm13, %xmm14 + addps %xmm5, %xmm5 + andnps %xmm8, %xmm2 + movaps %xmm13, %xmm11 + movaps %xmm2, %xmm9 + movaps %xmm1, %xmm6 + mulps %xmm2, %xmm9 + andnps %xmm4, %xmm6 + mulps %xmm5, %xmm2 + mulps %xmm13, %xmm11 + mulps %xmm9, %xmm5 + movups sqrt_coeff+__svml_sacos_data_internal(%rip), %xmm10 + andps %xmm0, %xmm3 + +/* polynomial */ + movups poly_coeff+__svml_sacos_data_internal(%rip), %xmm12 + movaps %xmm1, %xmm15 + mulps %xmm13, %xmm12 + subps Two+__svml_sacos_data_internal(%rip), %xmm5 + mulps %xmm5, %xmm10 + addps poly_coeff+16+__svml_sacos_data_internal(%rip), %xmm12 + mulps %xmm2, %xmm5 + mulps %xmm11, %xmm12 + addps sqrt_coeff+16+__svml_sacos_data_internal(%rip), %xmm10 + mulps %xmm5, %xmm10 + movups poly_coeff+32+__svml_sacos_data_internal(%rip), %xmm5 + subps %xmm10, %xmm2 + mulps %xmm13, %xmm5 + movups MOne+__svml_sacos_data_internal(%rip), %xmm7 + andps %xmm1, %xmm2 + cmpnleps %xmm4, %xmm7 + addps poly_coeff+48+__svml_sacos_data_internal(%rip), %xmm5 + movmskps %xmm7, %edx + orps %xmm2, %xmm6 + addps %xmm12, %xmm5 + mulps %xmm13, %xmm5 + pxor %xmm3, %xmm6 + movups PiH+__svml_sacos_data_internal(%rip), %xmm7 + andps %xmm1, %xmm7 + addps poly_coeff+64+__svml_sacos_data_internal(%rip), %xmm5 + mulps %xmm13, %xmm5 + andps %xmm14, %xmm7 + mulps %xmm6, %xmm5 + andnps Pi2H+__svml_sacos_data_internal(%rip), %xmm15 + addps %xmm5, %xmm6 + addps %xmm15, %xmm7 + addps %xmm6, %xmm7 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm7 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movaps %xmm7, %xmm0 + addq $72, %rsp + cfi_def_cfa_offset(8) + ret + cfi_def_cfa_offset(80) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups %xmm0, 32(%rsp) + movups %xmm7, 48(%rsp) + # LOE rbx rbp r12 r13 r14 r15 edx + + xorl %eax, %eax + movq %r12, 16(%rsp) + cfi_offset(12, -64) + movl %eax, %r12d + movq %r13, 8(%rsp) + cfi_offset(13, -72) + movl %edx, %r13d + movq %r14, (%rsp) + cfi_offset(14, -80) + # LOE rbx rbp r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx rbp r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $4, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx rbp r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + movups 48(%rsp), %xmm7 + +/* Go to exit */ + jmp L(EXIT) + cfi_offset(12, -64) + cfi_offset(13, -72) + cfi_offset(14, -80) + # LOE rbx rbp r12 r13 r14 r15 xmm7 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + call acosf@PLT + # LOE rbx rbp r14 r15 r12d r13d xmm0 + + movss %xmm0, 48(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx rbp r15 r12d r13d +END(_ZGVbN4v_acosf_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_sacos_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(16)) VUINT32 SgnBit[4][1]; + __declspec(align(16)) VUINT32 OneHalf[4][1]; + __declspec(align(16)) VUINT32 SmallNorm[4][1]; + __declspec(align(16)) VUINT32 MOne[4][1]; + __declspec(align(16)) VUINT32 Two[4][1]; + __declspec(align(16)) VUINT32 sqrt_coeff[2][4][1]; + __declspec(align(16)) VUINT32 poly_coeff[5][4][1]; + __declspec(align(16)) VUINT32 Pi2H[4][1]; + __declspec(align(16)) VUINT32 PiH[4][1]; +} __svml_sacos_data_internal; +#endif +__svml_sacos_data_internal: + /*== SgnBit ==*/ + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 + /*== OneHalf ==*/ + .align 16 + .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 + /*== SmallNorm ==*/ + .align 16 + .long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000 + /*== MOne ==*/ + .align 16 + .long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000 + /*== Two ==*/ + .align 16 + .long 0x40000000, 0x40000000, 0x40000000, 0x40000000 + /*== sqrt_coeff[2] ==*/ + .align 16 + .long 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004 /* sqrt_coeff2 */ + .long 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001 /* sqrt_coeff1 */ + /*== poly_coeff[5] ==*/ + .align 16 + .long 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07 /* poly_coeff5 */ + .long 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B /* poly_coeff4 */ + .long 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4 /* poly_coeff3 */ + .long 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12 /* poly_coeff2 */ + .long 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF /* poly_coeff1 */ + /*== Pi2H ==*/ + .align 16 + .long 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB + /*== PiH ==*/ + .align 16 + .long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB + .align 16 + .type __svml_sacos_data_internal,@object + .size __svml_sacos_data_internal,.-__svml_sacos_data_internal |