/* Function expf vectorized with AVX-512. KNL and SKX versions.
Copyright (C) 2014-2016 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_expf_data.h"
#include "svml_s_wrapper_impl.h"
.text
ENTRY (_ZGVeN16v_expf_knl)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN8v_expf
#else
/*
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 $1280, %rsp
movq __svml_sexp_data@GOTPCREL(%rip), %rax
/* r = x-n*ln2_hi/2^k */
vmovaps %zmm0, %zmm6
/* compare against threshold */
movl $-1, %ecx
vmovups __sInvLn2(%rax), %zmm3
vmovups __sLn2hi(%rax), %zmm5
/* m = x*2^k/ln2 + shifter */
vfmadd213ps __sShifter(%rax), %zmm0, %zmm3
vmovups __sPC5(%rax), %zmm9
/* n = m - shifter = rint(x*2^k/ln2) */
vsubps __sShifter(%rax), %zmm3, %zmm7
/* remove sign of x by "and" operation */
vpandd __iAbsMask(%rax), %zmm0, %zmm1
vpaddd __iBias(%rax), %zmm3, %zmm4
vpcmpgtd __iDomainRange(%rax), %zmm1, %k1
/* compute 2^N with "shift" */
vpslld $23, %zmm4, %zmm8
vfnmadd231ps %zmm7, %zmm5, %zmm6
vpbroadcastd %ecx, %zmm2{%k1}{z}
/* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */
vfnmadd132ps __sLn2lo(%rax), %zmm6, %zmm7
/* set mask for overflow/underflow */
vptestmd %zmm2, %zmm2, %k0
kmovw %k0, %ecx
/* c5*r+c4 */
vfmadd213ps __sPC4(%rax), %zmm7, %zmm9
/* (c5*r+c4)*r+c3 */
vfmadd213ps __sPC3(%rax), %zmm7, %zmm9
/* ((c5*r+c4)*r+c3)*r+c2 */
vfmadd213ps __sPC2(%rax), %zmm7, %zmm9
/* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */
vfmadd213ps __sPC1(%rax), %zmm7, %zmm9
/* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */
vfmadd213ps __sPC0(%rax), %zmm7, %zmm9
/* 2^N*exp(r) */
vmulps %zmm9, %zmm8, %zmm1
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
vmovaps %zmm1, %zmm0
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
vmovups %zmm0, 1152(%rsp)
vmovups %zmm1, 1216(%rsp)
je .LBL_1_2
xorb %dl, %dl
kmovw %k4, 1048(%rsp)
xorl %eax, %eax
kmovw %k5, 1040(%rsp)
kmovw %k6, 1032(%rsp)
kmovw %k7, 1024(%rsp)
vmovups %zmm16, 960(%rsp)
vmovups %zmm17, 896(%rsp)
vmovups %zmm18, 832(%rsp)
vmovups %zmm19, 768(%rsp)
vmovups %zmm20, 704(%rsp)
vmovups %zmm21, 640(%rsp)
vmovups %zmm22, 576(%rsp)
vmovups %zmm23, 512(%rsp)
vmovups %zmm24, 448(%rsp)
vmovups %zmm25, 384(%rsp)
vmovups %zmm26, 320(%rsp)
vmovups %zmm27, 256(%rsp)
vmovups %zmm28, 192(%rsp)
vmovups %zmm29, 128(%rsp)
vmovups %zmm30, 64(%rsp)
vmovups %zmm31, (%rsp)
movq %rsi, 1064(%rsp)
movq %rdi, 1056(%rsp)
movq %r12, 1096(%rsp)
cfi_offset_rel_rsp (12, 1096)
movb %dl, %r12b
movq %r13, 1088(%rsp)
cfi_offset_rel_rsp (13, 1088)
movl %ecx, %r13d
movq %r14, 1080(%rsp)
cfi_offset_rel_rsp (14, 1080)
movl %eax, %r14d
movq %r15, 1072(%rsp)
cfi_offset_rel_rsp (15, 1072)
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:
addb $1, %r12b
addl $2, %r14d
cmpb $16, %r12b
jb .LBL_1_6
kmovw 1048(%rsp), %k4
movq 1064(%rsp), %rsi
kmovw 1040(%rsp), %k5
movq 1056(%rsp), %rdi
kmovw 1032(%rsp), %k6
movq 1096(%rsp), %r12
cfi_restore (%r12)
movq 1088(%rsp), %r13
cfi_restore (%r13)
kmovw 1024(%rsp), %k7
vmovups 960(%rsp), %zmm16
vmovups 896(%rsp), %zmm17
vmovups 832(%rsp), %zmm18
vmovups 768(%rsp), %zmm19
vmovups 704(%rsp), %zmm20
vmovups 640(%rsp), %zmm21
vmovups 576(%rsp), %zmm22
vmovups 512(%rsp), %zmm23
vmovups 448(%rsp), %zmm24
vmovups 384(%rsp), %zmm25
vmovups 320(%rsp), %zmm26
vmovups 256(%rsp), %zmm27
vmovups 192(%rsp), %zmm28
vmovups 128(%rsp), %zmm29
vmovups 64(%rsp), %zmm30
vmovups (%rsp), %zmm31
movq 1080(%rsp), %r14
cfi_restore (%r14)
movq 1072(%rsp), %r15
cfi_restore (%r15)
vmovups 1216(%rsp), %zmm1
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
vmovss 1156(%rsp,%r15,8), %xmm0
call expf@PLT
vmovss %xmm0, 1220(%rsp,%r15,8)
jmp .LBL_1_8
.LBL_1_12:
movzbl %r12b, %r15d
vmovss 1152(%rsp,%r15,8), %xmm0
call expf@PLT
vmovss %xmm0, 1216(%rsp,%r15,8)
jmp .LBL_1_7
#endif
END (_ZGVeN16v_expf_knl)
ENTRY (_ZGVeN16v_expf_skx)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN8v_expf
#else
/*
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 $1280, %rsp
movq __svml_sexp_data@GOTPCREL(%rip), %rax
/* r = x-n*ln2_hi/2^k */
vmovaps %zmm0, %zmm7
/* compare against threshold */
vmovups .L_2il0floatpacket.13(%rip), %zmm3
vmovups __sInvLn2(%rax), %zmm4
vmovups __sShifter(%rax), %zmm1
vmovups __sLn2hi(%rax), %zmm6
vmovups __sPC5(%rax), %zmm10
/* m = x*2^k/ln2 + shifter */
vfmadd213ps %zmm1, %zmm0, %zmm4
/* n = m - shifter = rint(x*2^k/ln2) */
vsubps %zmm1, %zmm4, %zmm8
vpaddd __iBias(%rax), %zmm4, %zmm5
vfnmadd231ps %zmm8, %zmm6, %zmm7
/* compute 2^N with "shift" */
vpslld $23, %zmm5, %zmm9
/* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */
vfnmadd132ps __sLn2lo(%rax), %zmm7, %zmm8
/* c5*r+c4 */
vfmadd213ps __sPC4(%rax), %zmm8, %zmm10
/* (c5*r+c4)*r+c3 */
vfmadd213ps __sPC3(%rax), %zmm8, %zmm10
/* ((c5*r+c4)*r+c3)*r+c2 */
vfmadd213ps __sPC2(%rax), %zmm8, %zmm10
/* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */
vfmadd213ps __sPC1(%rax), %zmm8, %zmm10
/* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */
vfmadd213ps __sPC0(%rax), %zmm8, %zmm10
/* 2^N*exp(r) */
vmulps %zmm10, %zmm9, %zmm1
/* remove sign of x by "and" operation */
vpandd __iAbsMask(%rax), %zmm0, %zmm2
vpcmpd $2, __iDomainRange(%rax), %zmm2, %k1
vpandnd %zmm2, %zmm2, %zmm3{%k1}
/* set mask for overflow/underflow */
vptestmd %zmm3, %zmm3, %k0
kmovw %k0, %ecx
testl %ecx, %ecx
jne .LBL_2_3
.LBL_2_2:
cfi_remember_state
vmovaps %zmm1, %zmm0
movq %rbp, %rsp
cfi_def_cfa_register (%rsp)
popq %rbp
cfi_adjust_cfa_offset (-8)
cfi_restore (%rbp)
ret
.LBL_2_3:
cfi_restore_state
vmovups %zmm0, 1152(%rsp)
vmovups %zmm1, 1216(%rsp)
je .LBL_2_2
xorb %dl, %dl
xorl %eax, %eax
kmovw %k4, 1048(%rsp)
kmovw %k5, 1040(%rsp)
kmovw %k6, 1032(%rsp)
kmovw %k7, 1024(%rsp)
vmovups %zmm16, 960(%rsp)
vmovups %zmm17, 896(%rsp)
vmovups %zmm18, 832(%rsp)
vmovups %zmm19, 768(%rsp)
vmovups %zmm20, 704(%rsp)
vmovups %zmm21, 640(%rsp)
vmovups %zmm22, 576(%rsp)
vmovups %zmm23, 512(%rsp)
vmovups %zmm24, 448(%rsp)
vmovups %zmm25, 384(%rsp)
vmovups %zmm26, 320(%rsp)
vmovups %zmm27, 256(%rsp)
vmovups %zmm28, 192(%rsp)
vmovups %zmm29, 128(%rsp)
vmovups %zmm30, 64(%rsp)
vmovups %zmm31, (%rsp)
movq %rsi, 1064(%rsp)
movq %rdi, 1056(%rsp)
movq %r12, 1096(%rsp)
cfi_offset_rel_rsp (12, 1096)
movb %dl, %r12b
movq %r13, 1088(%rsp)
cfi_offset_rel_rsp (13, 1088)
movl %ecx, %r13d
movq %r14, 1080(%rsp)
cfi_offset_rel_rsp (14, 1080)
movl %eax, %r14d
movq %r15, 1072(%rsp)
cfi_offset_rel_rsp (15, 1072)
cfi_remember_state
.LBL_2_6:
btl %r14d, %r13d
jc .LBL_2_12
.LBL_2_7:
lea 1(%r14), %esi
btl %esi, %r13d
jc .LBL_2_10
.LBL_2_8:
incb %r12b
addl $2, %r14d
cmpb $16, %r12b
jb .LBL_2_6
kmovw 1048(%rsp), %k4
kmovw 1040(%rsp), %k5
kmovw 1032(%rsp), %k6
kmovw 1024(%rsp), %k7
vmovups 960(%rsp), %zmm16
vmovups 896(%rsp), %zmm17
vmovups 832(%rsp), %zmm18
vmovups 768(%rsp), %zmm19
vmovups 704(%rsp), %zmm20
vmovups 640(%rsp), %zmm21
vmovups 576(%rsp), %zmm22
vmovups 512(%rsp), %zmm23
vmovups 448(%rsp), %zmm24
vmovups 384(%rsp), %zmm25
vmovups 320(%rsp), %zmm26
vmovups 256(%rsp), %zmm27
vmovups 192(%rsp), %zmm28
vmovups 128(%rsp), %zmm29
vmovups 64(%rsp), %zmm30
vmovups (%rsp), %zmm31
vmovups 1216(%rsp), %zmm1
movq 1064(%rsp), %rsi
movq 1056(%rsp), %rdi
movq 1096(%rsp), %r12
cfi_restore (%r12)
movq 1088(%rsp), %r13
cfi_restore (%r13)
movq 1080(%rsp), %r14
cfi_restore (%r14)
movq 1072(%rsp), %r15
cfi_restore (%r15)
jmp .LBL_2_2
.LBL_2_10:
cfi_restore_state
movzbl %r12b, %r15d
vmovss 1156(%rsp,%r15,8), %xmm0
vzeroupper
vmovss 1156(%rsp,%r15,8), %xmm0
call expf@PLT
vmovss %xmm0, 1220(%rsp,%r15,8)
jmp .LBL_2_8
.LBL_2_12:
movzbl %r12b, %r15d
vmovss 1152(%rsp,%r15,8), %xmm0
vzeroupper
vmovss 1152(%rsp,%r15,8), %xmm0
call expf@PLT
vmovss %xmm0, 1216(%rsp,%r15,8)
jmp .LBL_2_7
#endif
END (_ZGVeN16v_expf_skx)
.section .rodata, "a"
.L_2il0floatpacket.13:
.long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff
.type .L_2il0floatpacket.13,@object