/* Function log vectorized with AVX-512. KNL and SKX versions.
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_log_data.h"
#include "svml_d_wrapper_impl.h"
.text
ENTRY (_ZGVeN8v_log_knl)
#ifndef HAVE_AVX512DQ_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN4v_log
#else
/*
ALGORITHM DESCRIPTION:
log(x) = -log(Rcp) + log(Rcp*x),
where Rcp ~ 1/x (accuracy ~9 bits, obtained by
rounding HW approximation to 1+9 mantissa bits)
Reduced argument R=Rcp*x-1 is used to approximate log(1+R) as polynomial
log(Rcp) = exponent_Rcp*log(2) + log(mantissa_Rcp)
-log(mantissa_Rcp) is obtained from a lookup table,
accessed by a 9-bit index
*/
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_dlog_data@GOTPCREL(%rip), %rdx
movq $-1, %rax
/* isolate exponent bits */
vpsrlq $20, %zmm0, %zmm2
vpsrlq $32, %zmm2, %zmm3
vpxord %zmm2, %zmm2, %zmm2
kxnorw %k3, %k3, %k3
vmovups _Two10(%rdx), %zmm1
vmovups _One(%rdx), %zmm9
vpmovqd %zmm3, %ymm4
/* convert biased exponent to DP format */
vcvtdq2pd %ymm4, %zmm13
/* preserve mantissa, set input exponent to 2^(-10) */
vpternlogq $248, _ExpMask(%rdx), %zmm0, %zmm1
vcmppd $17, _MinNorm(%rdx), %zmm0, %k1
/* reciprocal approximation good to at least 11 bits */
vrcp28pd %zmm1, %zmm5
vpbroadcastq %rax, %zmm6{%k1}{z}
vmovups _poly_coeff_3(%rdx), %zmm15
vcmppd $22, _MaxNorm(%rdx), %zmm0, %k2
vmovups _Bias1(%rdx), %zmm14
/* round reciprocal to nearest integer, will have 1+9 mantissa bits */
vrndscalepd $8, %zmm5, %zmm11
vpbroadcastq %rax, %zmm7{%k2}{z}
/* argument reduction started: R = Mantissa*Rcp - 1 */
vfmsub213pd %zmm9, %zmm11, %zmm1
/* calculate index for table lookup */
vpsrlq $40, %zmm11, %zmm10
vgatherqpd _LogRcp_lookup(%rdx,%zmm10), %zmm2{%k3}
vcmppd $30, _Threshold(%rdx), %zmm11, %k1
/* combine and get argument value range mask */
vporq %zmm7, %zmm6, %zmm8
/* exponent*log(2.0) */
vmovups _poly_coeff_1(%rdx), %zmm11
vmulpd %zmm1, %zmm1, %zmm10
vptestmq %zmm8, %zmm8, %k0
vfmadd213pd _poly_coeff_4(%rdx), %zmm1, %zmm15
kmovw %k0, %ecx
/* polynomial computation */
vfmadd213pd _poly_coeff_2(%rdx), %zmm1, %zmm11
movzbl %cl, %ecx
vpbroadcastq %rax, %zmm12{%k1}{z}
vfmadd213pd %zmm15, %zmm10, %zmm11
vpternlogq $248, _Bias(%rdx), %zmm12, %zmm14
/*
Table stores -log(0.5*mantissa) for larger mantissas,
adjust exponent accordingly
*/
vsubpd %zmm14, %zmm13, %zmm3
/*
reconstruction:
(exponent*log(2)) + (LogRcp + (R+poly))
*/
vfmadd213pd %zmm1, %zmm10, %zmm11
vaddpd %zmm2, %zmm11, %zmm1
vfmadd132pd _L2(%rdx), %zmm1, %zmm3
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
vmovaps %zmm3, %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 %zmm3, 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), %zmm3
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1160(%rsp,%r15), %xmm0
call JUMPTARGET(__log_finite)
vmovsd %xmm0, 1224(%rsp,%r15)
jmp .LBL_1_8
.LBL_1_12:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1152(%rsp,%r15), %xmm0
call JUMPTARGET(__log_finite)
vmovsd %xmm0, 1216(%rsp,%r15)
jmp .LBL_1_7
#endif
END (_ZGVeN8v_log_knl)
ENTRY (_ZGVeN8v_log_skx)
#ifndef HAVE_AVX512DQ_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN4v_log
#else
/*
ALGORITHM DESCRIPTION:
log(x) = -log(Rcp) + log(Rcp*x),
where Rcp ~ 1/x (accuracy ~9 bits,
obtained by rounding HW approximation to 1+9 mantissa bits)
Reduced argument R=Rcp*x-1 is used to approximate log(1+R) as polynomial
log(Rcp) = exponent_Rcp*log(2) + log(mantissa_Rcp)
-log(mantissa_Rcp) is obtained from a lookup table,
accessed by a 9-bit index
*/
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_dlog_data@GOTPCREL(%rip), %rax
vmovaps %zmm0, %zmm3
kxnorw %k3, %k3, %k3
vmovups _Two10(%rax), %zmm2
vmovups _Threshold(%rax), %zmm14
vmovups _One(%rax), %zmm11
vcmppd $21, _MinNorm(%rax), %zmm3, %k1
vcmppd $18, _MaxNorm(%rax), %zmm3, %k2
/* isolate exponent bits */
vpsrlq $20, %zmm3, %zmm4
/* preserve mantissa, set input exponent to 2^(-10) */
vpternlogq $248, _ExpMask(%rax), %zmm3, %zmm2
vpbroadcastq .L_2il0floatpacket.12(%rip), %zmm1
vpsrlq $32, %zmm4, %zmm6
/* reciprocal approximation good to at least 11 bits */
vrcp14pd %zmm2, %zmm5
/* exponent*log(2.0) */
vmovups _poly_coeff_1(%rax), %zmm4
vpmovqd %zmm6, %ymm7
/* round reciprocal to nearest integer, will have 1+9 mantissa bits */
vrndscalepd $8, %zmm5, %zmm0
/* calculate index for table lookup */
vpsrlq $40, %zmm0, %zmm12
/* argument reduction started: R = Mantissa*Rcp - 1 */
vfmsub213pd %zmm11, %zmm0, %zmm2
vpmovqd %zmm12, %ymm13
/* polynomial computation */
vfmadd213pd _poly_coeff_2(%rax), %zmm2, %zmm4
vmovaps %zmm1, %zmm8
vmovaps %zmm1, %zmm9
vpxord %zmm5, %zmm5, %zmm5
vgatherdpd _LogRcp_lookup(%rax,%ymm13), %zmm5{%k3}
vmovups _Bias1(%rax), %zmm13
vpandnq %zmm3, %zmm3, %zmm8{%k1}
vcmppd $21, %zmm0, %zmm14, %k1
vpandnq %zmm14, %zmm14, %zmm1{%k1}
vmulpd %zmm2, %zmm2, %zmm14
vpternlogq $248, _Bias(%rax), %zmm1, %zmm13
vmovups _poly_coeff_3(%rax), %zmm1
vfmadd213pd _poly_coeff_4(%rax), %zmm2, %zmm1
vfmadd213pd %zmm1, %zmm14, %zmm4
/*
reconstruction:
(exponent*log(2)) + (LogRcp + (R+poly))
*/
vfmadd213pd %zmm2, %zmm14, %zmm4
vaddpd %zmm5, %zmm4, %zmm2
vpandnq %zmm3, %zmm3, %zmm9{%k2}
/* combine and get argument value range mask */
vorpd %zmm9, %zmm8, %zmm10
vcmppd $3, %zmm10, %zmm10, %k0
kmovw %k0, %ecx
/* convert biased exponent to DP format */
vcvtdq2pd %ymm7, %zmm15
/*
Table stores -log(0.5*mantissa) for larger mantissas,
adjust exponent accordingly
*/
vsubpd %zmm13, %zmm15, %zmm0
vfmadd132pd _L2(%rax), %zmm2, %zmm0
testl %ecx, %ecx
jne .LBL_2_3
.LBL_2_2:
cfi_remember_state
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 %zmm3, 1152(%rsp)
vmovups %zmm0, 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), %zmm0
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
shlq $4, %r15
vmovsd 1160(%rsp,%r15), %xmm0
vzeroupper
vmovsd 1160(%rsp,%r15), %xmm0
call JUMPTARGET(__log_finite)
vmovsd %xmm0, 1224(%rsp,%r15)
jmp .LBL_2_8
.LBL_2_12:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1152(%rsp,%r15), %xmm0
vzeroupper
vmovsd 1152(%rsp,%r15), %xmm0
call JUMPTARGET(__log_finite)
vmovsd %xmm0, 1216(%rsp,%r15)
jmp .LBL_2_7
#endif
END (_ZGVeN8v_log_skx)
.section .rodata, "a"
.L_2il0floatpacket.12:
.long 0xffffffff,0xffffffff
.type .L_2il0floatpacket.12,@object