| /* Function exp vectorized with AVX2. |
| 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_d_exp_data.h" |
| |
| .text |
| ENTRY (_ZGVdN4v_exp_avx2) |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| Argument representation: |
| N = rint(X*2^k/ln2) = 2^k*M+j |
| X = N*ln2/2^k + r = M*ln2 + ln2*(j/2^k) + r |
| then -ln2/2^(k+1) < r < ln2/2^(k+1) |
| Alternatively: |
| N = trunc(X*2^k/ln2) |
| then 0 < r < ln2/2^k |
| |
| Result calculation: |
| exp(X) = exp(M*ln2 + ln2*(j/2^k) + r) |
| = 2^M * 2^(j/2^k) * exp(r) |
| 2^M is calculated by bit manipulation |
| 2^(j/2^k) is stored in table |
| exp(r) is approximated by polynomial |
| |
| The table lookup is skipped if k = 0. */ |
| |
| pushq %rbp |
| cfi_adjust_cfa_offset (8) |
| cfi_rel_offset (%rbp, 0) |
| movq %rsp, %rbp |
| cfi_def_cfa_register (%rbp) |
| andq $-64, %rsp |
| subq $448, %rsp |
| movq __svml_dexp_data@GOTPCREL(%rip), %rax |
| vmovdqa %ymm0, %ymm2 |
| vmovupd __dbInvLn2(%rax), %ymm3 |
| vmovupd __dbShifter(%rax), %ymm1 |
| vmovupd __lIndexMask(%rax), %ymm4 |
| |
| /* dM = X*dbInvLn2+dbShifter, dbInvLn2 = 2^k/Ln2 */ |
| vfmadd213pd %ymm1, %ymm2, %ymm3 |
| |
| /* iAbsX = (int)(lX>>32), lX = *(longlong*)&X */ |
| vextracti128 $1, %ymm2, %xmm5 |
| vshufps $221, %xmm5, %xmm2, %xmm6 |
| |
| /* iAbsX = iAbsX&iAbsMask */ |
| vandps __iAbsMask(%rax), %xmm6, %xmm7 |
| |
| /* dN = dM-dbShifter, dN = rint(X*2^k/Ln2) */ |
| vsubpd %ymm1, %ymm3, %ymm6 |
| |
| /* iRangeMask = (iAbsX>iDomainRange) */ |
| vpcmpgtd __iDomainRange(%rax), %xmm7, %xmm0 |
| vmovupd __dbLn2hi(%rax), %ymm1 |
| vmovupd __dPC0(%rax), %ymm7 |
| |
| /* Mask = iRangeMask?1:0, set mask for overflow/underflow */ |
| vmovmskps %xmm0, %ecx |
| vmovupd __dPC2(%rax), %ymm0 |
| |
| /* dR = X - dN*dbLn2hi, dbLn2hi is 52-8-k hi bits of ln2/2^k */ |
| vmovdqa %ymm2, %ymm5 |
| vfnmadd231pd %ymm6, %ymm1, %ymm5 |
| |
| /* dR = dR - dN*dbLn2lo, dbLn2lo is 40..94 bits of lo part of ln2/2^k */ |
| vfnmadd132pd __dbLn2lo(%rax), %ymm5, %ymm6 |
| |
| /* exp(r) = b0+r*(b0+r*(b1+r*b2)) */ |
| vfmadd213pd __dPC1(%rax), %ymm6, %ymm0 |
| vfmadd213pd %ymm7, %ymm6, %ymm0 |
| vfmadd213pd %ymm7, %ymm6, %ymm0 |
| |
| /* lIndex = (*(longlong*)&dM)&lIndexMask, lIndex is the lower K bits of lM */ |
| vandps %ymm4, %ymm3, %ymm1 |
| |
| /* table lookup for dT[j] = 2^(j/2^k) */ |
| vxorpd %ymm6, %ymm6, %ymm6 |
| vpcmpeqd %ymm5, %ymm5, %ymm5 |
| vgatherqpd %ymm5, (%rax,%ymm1,8), %ymm6 |
| |
| /* lM = (*(longlong*)&dM)&(~lIndexMask) */ |
| vpandn %ymm3, %ymm4, %ymm3 |
| |
| /* 2^(j/2^k) * exp(r) */ |
| vmulpd %ymm0, %ymm6, %ymm0 |
| |
| /* lM = lM<<(52-K), 2^M */ |
| vpsllq $42, %ymm3, %ymm4 |
| |
| /* multiply by 2^M through integer add */ |
| vpaddq %ymm4, %ymm0, %ymm0 |
| 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 |
| vmovupd %ymm2, 320(%rsp) |
| vmovupd %ymm0, 384(%rsp) |
| je .LBL_1_2 |
| |
| xorb %dl, %dl |
| xorl %eax, %eax |
| vmovups %ymm8, 224(%rsp) |
| vmovups %ymm9, 192(%rsp) |
| vmovups %ymm10, 160(%rsp) |
| vmovups %ymm11, 128(%rsp) |
| vmovups %ymm12, 96(%rsp) |
| vmovups %ymm13, 64(%rsp) |
| vmovups %ymm14, 32(%rsp) |
| vmovups %ymm15, (%rsp) |
| movq %rsi, 264(%rsp) |
| movq %rdi, 256(%rsp) |
| movq %r12, 296(%rsp) |
| cfi_offset_rel_rsp (12, 296) |
| movb %dl, %r12b |
| movq %r13, 288(%rsp) |
| cfi_offset_rel_rsp (13, 288) |
| movl %ecx, %r13d |
| movq %r14, 280(%rsp) |
| cfi_offset_rel_rsp (14, 280) |
| movl %eax, %r14d |
| movq %r15, 272(%rsp) |
| cfi_offset_rel_rsp (15, 272) |
| 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 |
| |
| vmovups 224(%rsp), %ymm8 |
| vmovups 192(%rsp), %ymm9 |
| vmovups 160(%rsp), %ymm10 |
| vmovups 128(%rsp), %ymm11 |
| vmovups 96(%rsp), %ymm12 |
| vmovups 64(%rsp), %ymm13 |
| vmovups 32(%rsp), %ymm14 |
| vmovups (%rsp), %ymm15 |
| vmovupd 384(%rsp), %ymm0 |
| movq 264(%rsp), %rsi |
| movq 256(%rsp), %rdi |
| movq 296(%rsp), %r12 |
| cfi_restore (%r12) |
| movq 288(%rsp), %r13 |
| cfi_restore (%r13) |
| movq 280(%rsp), %r14 |
| cfi_restore (%r14) |
| movq 272(%rsp), %r15 |
| cfi_restore (%r15) |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| vmovsd 328(%rsp,%r15), %xmm0 |
| vzeroupper |
| |
| call JUMPTARGET(__exp_finite) |
| |
| vmovsd %xmm0, 392(%rsp,%r15) |
| jmp .LBL_1_8 |
| |
| .LBL_1_12: |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| vmovsd 320(%rsp,%r15), %xmm0 |
| vzeroupper |
| |
| call JUMPTARGET(__exp_finite) |
| |
| vmovsd %xmm0, 384(%rsp,%r15) |
| jmp .LBL_1_7 |
| |
| END (_ZGVdN4v_exp_avx2) |
