| /* Function expf vectorized with SSE4. |
| Copyright (C) 2014-2018 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 |
| <http://www.gnu.org/licenses/>. */ |
| |
| #include <sysdep.h> |
| #include "svml_s_expf_data.h" |
| |
| .text |
| ENTRY (_ZGVbN4v_expf_sse4) |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| Argument representation: |
| M = rint(X*2^k/ln2) = 2^k*N+j |
| X = M*ln2/2^k + r = N*ln2 + ln2*(j/2^k) + r |
| then -ln2/2^(k+1) < r < ln2/2^(k+1) |
| Alternatively: |
| M = trunc(X*2^k/ln2) |
| then 0 < r < ln2/2^k |
| |
| Result calculation: |
| exp(X) = exp(N*ln2 + ln2*(j/2^k) + r) |
| = 2^N * 2^(j/2^k) * exp(r) |
| 2^N is calculated by bit manipulation |
| 2^(j/2^k) is computed from table lookup |
| exp(r) is approximated by polynomial |
| |
| The table lookup is skipped if k = 0. |
| For low accuracy approximation, exp(r) ~ 1 or 1+r. */ |
| |
| 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_sexp_data@GOTPCREL(%rip), %rax |
| movups __sInvLn2(%rax), %xmm0 |
| |
| /* m = x*2^k/ln2 + shifter */ |
| mulps %xmm5, %xmm0 |
| movups __sShifter(%rax), %xmm6 |
| movups __sLn2hi(%rax), %xmm4 |
| addps %xmm6, %xmm0 |
| |
| /* n = m - shifter = rint(x*2^k/ln2) */ |
| movaps %xmm0, %xmm2 |
| |
| /* remove sign of x by "and" operation */ |
| movdqu __iAbsMask(%rax), %xmm7 |
| subps %xmm6, %xmm2 |
| |
| /* r = x-n*ln2_hi/2^k */ |
| mulps %xmm2, %xmm4 |
| pand %xmm5, %xmm7 |
| |
| /* compare against threshold */ |
| pcmpgtd __iDomainRange(%rax), %xmm7 |
| movups __sLn2lo(%rax), %xmm1 |
| |
| /* set mask for overflow/underflow */ |
| movmskps %xmm7, %ecx |
| movaps %xmm5, %xmm7 |
| movups __sPC5(%rax), %xmm3 |
| subps %xmm4, %xmm7 |
| |
| /* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */ |
| mulps %xmm1, %xmm2 |
| |
| /* compute 2^N with "shift" */ |
| movdqu __iBias(%rax), %xmm6 |
| subps %xmm2, %xmm7 |
| |
| /* c5*r+c4 */ |
| mulps %xmm7, %xmm3 |
| paddd %xmm6, %xmm0 |
| pslld $23, %xmm0 |
| addps __sPC4(%rax), %xmm3 |
| |
| /* (c5*r+c4)*r+c3 */ |
| mulps %xmm7, %xmm3 |
| addps __sPC3(%rax), %xmm3 |
| |
| /* ((c5*r+c4)*r+c3)*r+c2 */ |
| mulps %xmm7, %xmm3 |
| addps __sPC2(%rax), %xmm3 |
| |
| /* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */ |
| mulps %xmm7, %xmm3 |
| addps __sPC1(%rax), %xmm3 |
| |
| /* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */ |
| mulps %xmm3, %xmm7 |
| addps __sPC0(%rax), %xmm7 |
| |
| /* 2^N*exp(r) */ |
| mulps %xmm7, %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 JUMPTARGET(__expf_finite) |
| |
| movss %xmm0, 260(%rsp,%r15,8) |
| jmp .LBL_1_8 |
| |
| .LBL_1_12: |
| movzbl %r12b, %r15d |
| movss 192(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(__expf_finite) |
| |
| movss %xmm0, 256(%rsp,%r15,8) |
| jmp .LBL_1_7 |
| |
| END (_ZGVbN4v_expf_sse4) |
