/* 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)