/* Function sinf vectorized with SSE4. Copyright (C) 2014-2015 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 . */ #include #include "svml_s_trig_data.h" .text ENTRY(_ZGVbN4v_sinf_sse4) /* ALGORITHM DESCRIPTION: 1) Range reduction to [-Pi/2; +Pi/2] interval a) Grab sign from source argument and save it. b) Remove sign using AND operation c) Getting octant Y by 1/Pi multiplication d) Add "Right Shifter" value e) Treat obtained value as integer for destination sign setting. Shift first bit of this value to the last (sign) position f) Change destination sign if source sign is negative using XOR operation. g) Subtract "Right Shifter" value h) Subtract Y*PI from X argument, where PI divided to 4 parts: X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) a) Calculate X^2 = X * X b) Calculate polynomial: R = X + X * X^2 * (A3 + x^2 * (A5 + ...... 3) Destination sign setting a) Set shifted destination sign using XOR operation: R = XOR( R, S ); */ pushq %rbp cfi_adjust_cfa_offset (8) cfi_rel_offset (%rbp, 0) movq %rsp, %rbp cfi_def_cfa_register (%rbp) andq $-64, %rsp subq $320, %rsp movaps %xmm0, %xmm5 movq __svml_s_trig_data@GOTPCREL(%rip), %rax movups __sAbsMask(%rax), %xmm2 /* b) Remove sign using AND operation */ movaps %xmm2, %xmm4 /* f) Change destination sign if source sign is negative using XOR operation. */ andnps %xmm5, %xmm2 movups __sInvPI(%rax), %xmm1 andps %xmm5, %xmm4 /* c) Getting octant Y by 1/Pi multiplication d) Add "Right Shifter" value */ mulps %xmm4, %xmm1 /* h) Subtract Y*PI from X argument, where PI divided to 4 parts: X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4 */ movaps %xmm4, %xmm0 /* Check for large and special values */ cmpnleps __sRangeReductionVal(%rax), %xmm4 movups __sRShifter(%rax), %xmm6 movups __sPI1(%rax), %xmm7 addps %xmm6, %xmm1 movmskps %xmm4, %ecx /* e) Treat obtained value as integer for destination sign setting. Shift first bit of this value to the last (sign) position */ movaps %xmm1, %xmm3 /* g) Subtract "Right Shifter" value */ subps %xmm6, %xmm1 mulps %xmm1, %xmm7 pslld $31, %xmm3 movups __sPI2(%rax), %xmm6 subps %xmm7, %xmm0 mulps %xmm1, %xmm6 movups __sPI3(%rax), %xmm7 subps %xmm6, %xmm0 mulps %xmm1, %xmm7 movups __sPI4(%rax), %xmm6 subps %xmm7, %xmm0 mulps %xmm6, %xmm1 subps %xmm1, %xmm0 /* 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) a) Calculate X^2 = X * X b) Calculate polynomial: R = X + X * X^2 * (A3 + x^2 * (A5 + ...... */ movaps %xmm0, %xmm1 mulps %xmm0, %xmm1 xorps %xmm3, %xmm0 movups __sA9(%rax), %xmm3 mulps %xmm1, %xmm3 addps __sA7(%rax), %xmm3 mulps %xmm1, %xmm3 addps __sA5(%rax), %xmm3 mulps %xmm1, %xmm3 addps __sA3(%rax), %xmm3 mulps %xmm3, %xmm1 mulps %xmm0, %xmm1 addps %xmm1, %xmm0 /* 3) Destination sign setting a) Set shifted destination sign using XOR operation: R = XOR( R, S ); */ xorps %xmm2, %xmm0 testl %ecx, %ecx jne .LBL_1_3 .LBL_1_2: cfi_remember_state movq %rbp, %rsp cfi_def_cfa_register (%rsp) popq %rbp cfi_adjust_cfa_offset (-8) cfi_restore (%rbp) ret .LBL_1_3: cfi_restore_state movups %xmm5, 192(%rsp) movups %xmm0, 256(%rsp) je .LBL_1_2 xorb %dl, %dl xorl %eax, %eax movups %xmm8, 112(%rsp) movups %xmm9, 96(%rsp) movups %xmm10, 80(%rsp) movups %xmm11, 64(%rsp) movups %xmm12, 48(%rsp) movups %xmm13, 32(%rsp) movups %xmm14, 16(%rsp) movups %xmm15, (%rsp) movq %rsi, 136(%rsp) movq %rdi, 128(%rsp) movq %r12, 168(%rsp) cfi_offset_rel_rsp (12, 168) movb %dl, %r12b movq %r13, 160(%rsp) cfi_offset_rel_rsp (13, 160) movl %ecx, %r13d movq %r14, 152(%rsp) cfi_offset_rel_rsp (14, 152) movl %eax, %r14d movq %r15, 144(%rsp) cfi_offset_rel_rsp (15, 144) cfi_remember_state .LBL_1_6: btl %r14d, %r13d jc .LBL_1_12 .LBL_1_7: lea 1(%r14), %esi btl %esi, %r13d jc .LBL_1_10 .LBL_1_8: incb %r12b addl $2, %r14d cmpb $16, %r12b jb .LBL_1_6 movups 112(%rsp), %xmm8 movups 96(%rsp), %xmm9 movups 80(%rsp), %xmm10 movups 64(%rsp), %xmm11 movups 48(%rsp), %xmm12 movups 32(%rsp), %xmm13 movups 16(%rsp), %xmm14 movups (%rsp), %xmm15 movq 136(%rsp), %rsi movq 128(%rsp), %rdi movq 168(%rsp), %r12 cfi_restore (%r12) movq 160(%rsp), %r13 cfi_restore (%r13) movq 152(%rsp), %r14 cfi_restore (%r14) movq 144(%rsp), %r15 cfi_restore (%r15) movups 256(%rsp), %xmm0 jmp .LBL_1_2 .LBL_1_10: cfi_restore_state movzbl %r12b, %r15d movss 196(%rsp,%r15,8), %xmm0 call sinf@PLT movss %xmm0, 260(%rsp,%r15,8) jmp .LBL_1_8 .LBL_1_12: movzbl %r12b, %r15d movss 192(%rsp,%r15,8), %xmm0 call sinf@PLT movss %xmm0, 256(%rsp,%r15,8) jmp .LBL_1_7 END(_ZGVbN4v_sinf_sse4)