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/* Function exp vectorized with AVX2.
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Copyright (C) 2014-2018 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <sysdep.h>
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#include "svml_d_exp_data.h"
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.text
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ENTRY (_ZGVdN4v_exp_avx2)
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/*
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ALGORITHM DESCRIPTION:
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Argument representation:
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N = rint(X*2^k/ln2) = 2^k*M+j
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X = N*ln2/2^k + r = M*ln2 + ln2*(j/2^k) + r
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then -ln2/2^(k+1) < r < ln2/2^(k+1)
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Alternatively:
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N = trunc(X*2^k/ln2)
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then 0 < r < ln2/2^k
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Result calculation:
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exp(X) = exp(M*ln2 + ln2*(j/2^k) + r)
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= 2^M * 2^(j/2^k) * exp(r)
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2^M is calculated by bit manipulation
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2^(j/2^k) is stored in table
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exp(r) is approximated by polynomial
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The table lookup is skipped if k = 0. */
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pushq %rbp
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cfi_adjust_cfa_offset (8)
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cfi_rel_offset (%rbp, 0)
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movq %rsp, %rbp
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cfi_def_cfa_register (%rbp)
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andq $-64, %rsp
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subq $448, %rsp
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movq __svml_dexp_data@GOTPCREL(%rip), %rax
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vmovdqa %ymm0, %ymm2
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vmovupd __dbInvLn2(%rax), %ymm3
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vmovupd __dbShifter(%rax), %ymm1
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vmovupd __lIndexMask(%rax), %ymm4
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/* dM = X*dbInvLn2+dbShifter, dbInvLn2 = 2^k/Ln2 */
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vfmadd213pd %ymm1, %ymm2, %ymm3
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/* iAbsX = (int)(lX>>32), lX = *(longlong*)&X */
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vextracti128 $1, %ymm2, %xmm5
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vshufps $221, %xmm5, %xmm2, %xmm6
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/* iAbsX = iAbsX&iAbsMask */
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vandps __iAbsMask(%rax), %xmm6, %xmm7
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/* dN = dM-dbShifter, dN = rint(X*2^k/Ln2) */
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vsubpd %ymm1, %ymm3, %ymm6
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/* iRangeMask = (iAbsX>iDomainRange) */
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vpcmpgtd __iDomainRange(%rax), %xmm7, %xmm0
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vmovupd __dbLn2hi(%rax), %ymm1
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vmovupd __dPC0(%rax), %ymm7
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/* Mask = iRangeMask?1:0, set mask for overflow/underflow */
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vmovmskps %xmm0, %ecx
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vmovupd __dPC2(%rax), %ymm0
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/* dR = X - dN*dbLn2hi, dbLn2hi is 52-8-k hi bits of ln2/2^k */
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vmovdqa %ymm2, %ymm5
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vfnmadd231pd %ymm6, %ymm1, %ymm5
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/* dR = dR - dN*dbLn2lo, dbLn2lo is 40..94 bits of lo part of ln2/2^k */
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vfnmadd132pd __dbLn2lo(%rax), %ymm5, %ymm6
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/* exp(r) = b0+r*(b0+r*(b1+r*b2)) */
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vfmadd213pd __dPC1(%rax), %ymm6, %ymm0
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vfmadd213pd %ymm7, %ymm6, %ymm0
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vfmadd213pd %ymm7, %ymm6, %ymm0
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/* lIndex = (*(longlong*)&dM)&lIndexMask, lIndex is the lower K bits of lM */
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vandps %ymm4, %ymm3, %ymm1
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/* table lookup for dT[j] = 2^(j/2^k) */
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vxorpd %ymm6, %ymm6, %ymm6
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vpcmpeqd %ymm5, %ymm5, %ymm5
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vgatherqpd %ymm5, (%rax,%ymm1,8), %ymm6
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/* lM = (*(longlong*)&dM)&(~lIndexMask) */
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vpandn %ymm3, %ymm4, %ymm3
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/* 2^(j/2^k) * exp(r) */
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vmulpd %ymm0, %ymm6, %ymm0
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/* lM = lM<<(52-K), 2^M */
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vpsllq $42, %ymm3, %ymm4
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/* multiply by 2^M through integer add */
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vpaddq %ymm4, %ymm0, %ymm0
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testl %ecx, %ecx
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jne .LBL_1_3
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.LBL_1_2:
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cfi_remember_state
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movq %rbp, %rsp
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cfi_def_cfa_register (%rsp)
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popq %rbp
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cfi_adjust_cfa_offset (-8)
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cfi_restore (%rbp)
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ret
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.LBL_1_3:
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cfi_restore_state
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vmovupd %ymm2, 320(%rsp)
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vmovupd %ymm0, 384(%rsp)
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je .LBL_1_2
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xorb %dl, %dl
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xorl %eax, %eax
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vmovups %ymm8, 224(%rsp)
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vmovups %ymm9, 192(%rsp)
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vmovups %ymm10, 160(%rsp)
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vmovups %ymm11, 128(%rsp)
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vmovups %ymm12, 96(%rsp)
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vmovups %ymm13, 64(%rsp)
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vmovups %ymm14, 32(%rsp)
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vmovups %ymm15, (%rsp)
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movq %rsi, 264(%rsp)
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movq %rdi, 256(%rsp)
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movq %r12, 296(%rsp)
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cfi_offset_rel_rsp (12, 296)
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movb %dl, %r12b
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movq %r13, 288(%rsp)
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cfi_offset_rel_rsp (13, 288)
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movl %ecx, %r13d
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movq %r14, 280(%rsp)
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cfi_offset_rel_rsp (14, 280)
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movl %eax, %r14d
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movq %r15, 272(%rsp)
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cfi_offset_rel_rsp (15, 272)
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cfi_remember_state
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.LBL_1_6:
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btl %r14d, %r13d
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jc .LBL_1_12
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.LBL_1_7:
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lea 1(%r14), %esi
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btl %esi, %r13d
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jc .LBL_1_10
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.LBL_1_8:
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incb %r12b
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addl $2, %r14d
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cmpb $16, %r12b
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jb .LBL_1_6
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vmovups 224(%rsp), %ymm8
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vmovups 192(%rsp), %ymm9
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vmovups 160(%rsp), %ymm10
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vmovups 128(%rsp), %ymm11
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vmovups 96(%rsp), %ymm12
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vmovups 64(%rsp), %ymm13
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vmovups 32(%rsp), %ymm14
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vmovups (%rsp), %ymm15
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vmovupd 384(%rsp), %ymm0
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movq 264(%rsp), %rsi
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movq 256(%rsp), %rdi
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movq 296(%rsp), %r12
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cfi_restore (%r12)
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movq 288(%rsp), %r13
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cfi_restore (%r13)
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movq 280(%rsp), %r14
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cfi_restore (%r14)
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movq 272(%rsp), %r15
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cfi_restore (%r15)
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jmp .LBL_1_2
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.LBL_1_10:
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cfi_restore_state
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movzbl %r12b, %r15d
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shlq $4, %r15
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vmovsd 328(%rsp,%r15), %xmm0
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vzeroupper
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call JUMPTARGET(__exp_finite)
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vmovsd %xmm0, 392(%rsp,%r15)
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jmp .LBL_1_8
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.LBL_1_12:
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movzbl %r12b, %r15d
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shlq $4, %r15
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vmovsd 320(%rsp,%r15), %xmm0
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vzeroupper
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call JUMPTARGET(__exp_finite)
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vmovsd %xmm0, 384(%rsp,%r15)
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jmp .LBL_1_7
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END (_ZGVdN4v_exp_avx2)
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