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/* Function log1pf vectorized with AVX-512.
Copyright (C) 2021-2023 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
https://www.gnu.org/licenses/. */
/*
* ALGORITHM DESCRIPTION:
*
* 1+x = 2^k*(xh + xl) is computed in high-low parts; xh in [1, 2)
* Get short reciprocal approximation Rcp ~ 1/xh
* R = (Rcp*xh - 1.0) + Rcp*xl
* log1p(x) = k*log(2.0) - log(Rcp) + poly(R)
* log(Rcp) is tabulated
*
*
*/
/* Offsets for data table __svml_slog1p_data_internal
*/
#define SgnMask 0
#define sOne 64
#define sPoly_1 128
#define sPoly_2 192
#define sPoly_3 256
#define sPoly_4 320
#define sPoly_5 384
#define sPoly_6 448
#define sPoly_7 512
#define sPoly_8 576
#define iHiDelta 640
#define iLoRange 704
#define iBrkValue 768
#define iOffExpoMask 832
#define sLn2 896
#include <sysdep.h>
.section .text.evex512, "ax", @progbits
ENTRY(_ZGVeN16v_log1pf_skx)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-64, %rsp
subq $192, %rsp
vmovups sOne+__svml_slog1p_data_internal(%rip), %zmm2
/* reduction: compute r, n */
vmovups iBrkValue+__svml_slog1p_data_internal(%rip), %zmm12
vmovups SgnMask+__svml_slog1p_data_internal(%rip), %zmm4
vmovaps %zmm0, %zmm3
/* compute 1+x as high, low parts */
vmaxps {sae}, %zmm3, %zmm2, %zmm5
vminps {sae}, %zmm3, %zmm2, %zmm7
vandnps %zmm3, %zmm4, %zmm1
vpternlogd $255, %zmm4, %zmm4, %zmm4
vaddps {rn-sae}, %zmm7, %zmm5, %zmm9
vpsubd %zmm12, %zmm9, %zmm10
vsubps {rn-sae}, %zmm9, %zmm5, %zmm6
/* check argument value ranges */
vpaddd iHiDelta+__svml_slog1p_data_internal(%rip), %zmm9, %zmm8
vpsrad $23, %zmm10, %zmm13
vmovups sPoly_5+__svml_slog1p_data_internal(%rip), %zmm9
vpcmpd $5, iLoRange+__svml_slog1p_data_internal(%rip), %zmm8, %k1
vpslld $23, %zmm13, %zmm14
vaddps {rn-sae}, %zmm7, %zmm6, %zmm15
vcvtdq2ps {rn-sae}, %zmm13, %zmm0
vpsubd %zmm14, %zmm2, %zmm13
vmovups sPoly_8+__svml_slog1p_data_internal(%rip), %zmm7
vmovups sPoly_1+__svml_slog1p_data_internal(%rip), %zmm14
vmulps {rn-sae}, %zmm13, %zmm15, %zmm6
vpandd iOffExpoMask+__svml_slog1p_data_internal(%rip), %zmm10, %zmm11
vpaddd %zmm12, %zmm11, %zmm5
vmovups sPoly_4+__svml_slog1p_data_internal(%rip), %zmm10
vmovups sPoly_3+__svml_slog1p_data_internal(%rip), %zmm11
vmovups sPoly_2+__svml_slog1p_data_internal(%rip), %zmm12
/* polynomial evaluation */
vsubps {rn-sae}, %zmm2, %zmm5, %zmm2
vaddps {rn-sae}, %zmm6, %zmm2, %zmm15
vmovups sPoly_7+__svml_slog1p_data_internal(%rip), %zmm2
vfmadd231ps {rn-sae}, %zmm15, %zmm7, %zmm2
vpandnd %zmm8, %zmm8, %zmm4{%k1}
vmovups sPoly_6+__svml_slog1p_data_internal(%rip), %zmm8
/* combine and get argument value range mask */
vptestmd %zmm4, %zmm4, %k0
vfmadd213ps {rn-sae}, %zmm8, %zmm15, %zmm2
kmovw %k0, %edx
vfmadd213ps {rn-sae}, %zmm9, %zmm15, %zmm2
vfmadd213ps {rn-sae}, %zmm10, %zmm15, %zmm2
vfmadd213ps {rn-sae}, %zmm11, %zmm15, %zmm2
vfmadd213ps {rn-sae}, %zmm12, %zmm15, %zmm2
vfmadd213ps {rn-sae}, %zmm14, %zmm15, %zmm2
vmulps {rn-sae}, %zmm15, %zmm2, %zmm4
vfmadd213ps {rn-sae}, %zmm15, %zmm15, %zmm4
/* final reconstruction */
vmovups sLn2+__svml_slog1p_data_internal(%rip), %zmm15
vfmadd213ps {rn-sae}, %zmm4, %zmm15, %zmm0
vorps %zmm1, %zmm0, %zmm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm3
/* Restore registers
* and exit the function
*/
L(EXIT):
movq %rbp, %rsp
popq %rbp
cfi_def_cfa(7, 8)
cfi_restore(6)
ret
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
/* Branch to process
* special inputs
*/
L(SPECIAL_VALUES_BRANCH):
vmovups %zmm3, 64(%rsp)
vmovups %zmm0, 128(%rsp)
# LOE rbx r12 r13 r14 r15 edx zmm0
xorl %eax, %eax
# LOE rbx r12 r13 r14 r15 eax edx
vzeroupper
movq %r12, 16(%rsp)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
movl %eax, %r12d
movq %r13, 8(%rsp)
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
# LOE rbx r15 r12d r13d
/* Range mask
* bits check
*/
L(RANGEMASK_CHECK):
btl %r12d, %r13d
/* Call scalar math function */
jc L(SCALAR_MATH_CALL)
# LOE rbx r15 r12d r13d
/* Special inputs
* processing loop
*/
L(SPECIAL_VALUES_LOOP):
incl %r12d
cmpl $16, %r12d
/* Check bits in range mask */
jl L(RANGEMASK_CHECK)
# LOE rbx r15 r12d r13d
movq 16(%rsp), %r12
cfi_restore(12)
movq 8(%rsp), %r13
cfi_restore(13)
movq (%rsp), %r14
cfi_restore(14)
vmovups 128(%rsp), %zmm0
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 zmm0
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
vmovss 64(%rsp, %r14, 4), %xmm0
call log1pf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
vmovss %xmm0, 128(%rsp, %r14, 4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVeN16v_log1pf_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_slog1p_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 SgnMask[16][1];
__declspec(align(64)) VUINT32 sOne[16][1];
__declspec(align(64)) VUINT32 sPoly[8][16][1];
__declspec(align(64)) VUINT32 iHiDelta[16][1];
__declspec(align(64)) VUINT32 iLoRange[16][1];
__declspec(align(64)) VUINT32 iBrkValue[16][1];
__declspec(align(64)) VUINT32 iOffExpoMask[16][1];
__declspec(align(64)) VUINT32 sLn2[16][1];
} __svml_slog1p_data_internal;
#endif
__svml_slog1p_data_internal:
/* SgnMask */
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
/* sOne = SP 1.0 */
.align 64
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
/* sPoly[] = SP polynomial */
.align 64
.long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */
.long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /* 3.3333265781402587890625000e-01 P1 */
.long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */
.long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /* 2.0007920265197753906250000e-01 P3 */
.long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */
.long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /* 1.4042308926582336425781250e-01 P5 */
.long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */
.long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /* 1.3820238411426544189453125e-01 P7 */
/* iHiDelta = SP 80000000-7f000000 */
.align 64
.long 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000, 0x01000000
/* iLoRange = SP 00800000+iHiDelta */
.align 64
.long 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000, 0x01800000
/* iBrkValue = SP 2/3 */
.align 64
.long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab
/* iOffExpoMask = SP significand mask */
.align 64
.long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff
/* sLn2 = SP ln(2) */
.align 64
.long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218
.align 64
.type __svml_slog1p_data_internal, @object
.size __svml_slog1p_data_internal, .-__svml_slog1p_data_internal
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