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/* Function log1pf vectorized with SSE4.
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 16
#define sPoly 32
#define iHiDelta 160
#define iLoRange 176
#define iBrkValue 192
#define iOffExpoMask 208
#define sLn2 224
#include <sysdep.h>
.section .text.sse4, "ax", @progbits
ENTRY(_ZGVbN4v_log1pf_sse4)
subq $72, %rsp
cfi_def_cfa_offset(80)
movups sOne+__svml_slog1p_data_internal(%rip), %xmm7
/* compute 1+x as high, low parts */
movaps %xmm7, %xmm1
movaps %xmm7, %xmm5
maxps %xmm0, %xmm1
minps %xmm0, %xmm5
movaps %xmm1, %xmm4
/* check argument value ranges */
movdqu iHiDelta+__svml_slog1p_data_internal(%rip), %xmm2
addps %xmm5, %xmm4
/* reduction: compute r, n */
movdqu iBrkValue+__svml_slog1p_data_internal(%rip), %xmm3
paddd %xmm4, %xmm2
movdqu iOffExpoMask+__svml_slog1p_data_internal(%rip), %xmm8
subps %xmm4, %xmm1
psubd %xmm3, %xmm4
addps %xmm1, %xmm5
pand %xmm4, %xmm8
psrad $23, %xmm4
cvtdq2ps %xmm4, %xmm10
pslld $23, %xmm4
movaps %xmm7, %xmm1
paddd %xmm3, %xmm8
psubd %xmm4, %xmm1
mulps %xmm5, %xmm1
/* polynomial evaluation */
subps %xmm7, %xmm8
/* final reconstruction */
mulps sLn2+__svml_slog1p_data_internal(%rip), %xmm10
addps %xmm8, %xmm1
movups sPoly+112+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
movdqu iLoRange+__svml_slog1p_data_internal(%rip), %xmm6
pcmpgtd %xmm2, %xmm6
addps sPoly+96+__svml_slog1p_data_internal(%rip), %xmm9
/* combine and get argument value range mask */
movmskps %xmm6, %edx
movups SgnMask+__svml_slog1p_data_internal(%rip), %xmm11
mulps %xmm1, %xmm9
andnps %xmm0, %xmm11
addps sPoly+80+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
addps sPoly+64+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
addps sPoly+48+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
addps sPoly+32+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
addps sPoly+16+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
addps sPoly+__svml_slog1p_data_internal(%rip), %xmm9
mulps %xmm1, %xmm9
mulps %xmm1, %xmm9
addps %xmm9, %xmm1
addps %xmm10, %xmm1
orps %xmm11, %xmm1
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm1
/* Restore registers
* and exit the function
*/
L(EXIT):
movaps %xmm1, %xmm0
addq $72, %rsp
cfi_def_cfa_offset(8)
ret
cfi_def_cfa_offset(80)
/* Branch to process
* special inputs
*/
L(SPECIAL_VALUES_BRANCH):
movups %xmm0, 32(%rsp)
movups %xmm1, 48(%rsp)
# LOE rbx rbp r12 r13 r14 r15 edx
xorl %eax, %eax
movq %r12, 16(%rsp)
cfi_offset(12, -64)
movl %eax, %r12d
movq %r13, 8(%rsp)
cfi_offset(13, -72)
movl %edx, %r13d
movq %r14, (%rsp)
cfi_offset(14, -80)
# LOE rbx rbp r15 r12d r13d
/* Range mask
* bits check
*/
L(RANGEMASK_CHECK):
btl %r12d, %r13d
/* Call scalar math function */
jc L(SCALAR_MATH_CALL)
# LOE rbx rbp r15 r12d r13d
/* Special inputs
* processing loop
*/
L(SPECIAL_VALUES_LOOP):
incl %r12d
cmpl $4, %r12d
/* Check bits in range mask */
jl L(RANGEMASK_CHECK)
# LOE rbx rbp r15 r12d r13d
movq 16(%rsp), %r12
cfi_restore(12)
movq 8(%rsp), %r13
cfi_restore(13)
movq (%rsp), %r14
cfi_restore(14)
movups 48(%rsp), %xmm1
/* Go to exit */
jmp L(EXIT)
cfi_offset(12, -64)
cfi_offset(13, -72)
cfi_offset(14, -80)
# LOE rbx rbp r12 r13 r14 r15 xmm1
/* Scalar math function call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp, %r14, 4), %xmm0
call log1pf@PLT
# LOE rbx rbp r14 r15 r12d r13d xmm0
movss %xmm0, 48(%rsp, %r14, 4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx rbp r15 r12d r13d
END(_ZGVbN4v_log1pf_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_slog1p_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 SgnMask[4][1];
__declspec(align(16)) VUINT32 sOne[4][1];
__declspec(align(16)) VUINT32 sPoly[8][4][1];
__declspec(align(16)) VUINT32 iHiDelta[4][1];
__declspec(align(16)) VUINT32 iLoRange[4][1];
__declspec(align(16)) VUINT32 iBrkValue[4][1];
__declspec(align(16)) VUINT32 iOffExpoMask[4][1];
__declspec(align(16)) VUINT32 sLn2[4][1];
} __svml_slog1p_data_internal;
#endif
__svml_slog1p_data_internal:
/* SgnMask */
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
/* sOne = SP 1.0 */
.align 16
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
/* sPoly[] = SP polynomial */
.align 16
.long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */
.long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /* 3.3333265781402587890625000e-01 P1 */
.long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */
.long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /* 2.0007920265197753906250000e-01 P3 */
.long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */
.long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /* 1.4042308926582336425781250e-01 P5 */
.long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */
.long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /* 1.3820238411426544189453125e-01 P7 */
/* iHiDelta = SP 80000000-7f000000 */
.align 16
.long 0x01000000, 0x01000000, 0x01000000, 0x01000000
/* iLoRange = SP 00800000+iHiDelta */
.align 16
.long 0x01800000, 0x01800000, 0x01800000, 0x01800000
/* iBrkValue = SP 2/3 */
.align 16
.long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab
/* iOffExpoMask = SP significand mask */
.align 16
.long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff
/* sLn2 = SP ln(2) */
.align 16
.long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218
.align 16
.type __svml_slog1p_data_internal, @object
.size __svml_slog1p_data_internal, .-__svml_slog1p_data_internal
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