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/* Function log2f 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:
*
* Get short reciprocal approximation Rcp ~ 1/mantissa(x)
* R = Rcp*x - 1.0
* log2(x) = k - log2(Rcp) + poly_approximation(R)
* log2(Rcp) is tabulated
*
*
*/
/* Offsets for data table __svml_slog2_data_internal
*/
#define MinNorm 0
#define MaxNorm 16
#define iBrkValue 32
#define iOffExpoMask 48
#define One 64
#define sPoly 80
#include <sysdep.h>
.section .text.sse4, "ax", @progbits
ENTRY(_ZGVbN4v_log2f_sse4)
subq $72, %rsp
cfi_def_cfa_offset(80)
movaps %xmm0, %xmm1
/* reduction: compute r, n */
movdqu iBrkValue+__svml_slog2_data_internal(%rip), %xmm2
movaps %xmm0, %xmm4
movdqu iOffExpoMask+__svml_slog2_data_internal(%rip), %xmm10
psubd %xmm2, %xmm1
pand %xmm1, %xmm10
movaps %xmm0, %xmm3
paddd %xmm2, %xmm10
psrad $23, %xmm1
movups sPoly+__svml_slog2_data_internal(%rip), %xmm5
movups sPoly+32+__svml_slog2_data_internal(%rip), %xmm6
movups sPoly+64+__svml_slog2_data_internal(%rip), %xmm7
movups sPoly+96+__svml_slog2_data_internal(%rip), %xmm9
cmpltps MinNorm+__svml_slog2_data_internal(%rip), %xmm4
cmpnleps MaxNorm+__svml_slog2_data_internal(%rip), %xmm3
cvtdq2ps %xmm1, %xmm1
subps One+__svml_slog2_data_internal(%rip), %xmm10
mulps %xmm10, %xmm5
movaps %xmm10, %xmm8
mulps %xmm10, %xmm6
mulps %xmm10, %xmm8
addps sPoly+16+__svml_slog2_data_internal(%rip), %xmm5
mulps %xmm10, %xmm7
addps sPoly+48+__svml_slog2_data_internal(%rip), %xmm6
mulps %xmm10, %xmm9
mulps %xmm8, %xmm5
addps sPoly+80+__svml_slog2_data_internal(%rip), %xmm7
addps sPoly+112+__svml_slog2_data_internal(%rip), %xmm9
addps %xmm5, %xmm6
mulps %xmm8, %xmm6
orps %xmm3, %xmm4
/* combine and get argument value range mask */
movmskps %xmm4, %edx
addps %xmm6, %xmm7
mulps %xmm7, %xmm8
addps %xmm8, %xmm9
mulps %xmm10, %xmm9
addps sPoly+128+__svml_slog2_data_internal(%rip), %xmm9
mulps %xmm9, %xmm10
addps %xmm10, %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 log2f@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_log2f_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_slog2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 MinNorm[4][1];
__declspec(align(16)) VUINT32 MaxNorm[4][1];
__declspec(align(16)) VUINT32 iBrkValue[4][1];
__declspec(align(16)) VUINT32 iOffExpoMask[4][1];
__declspec(align(16)) VUINT32 One[4][1];
__declspec(align(16)) VUINT32 sPoly[9][4][1];
} __svml_slog2_data_internal;
#endif
__svml_slog2_data_internal:
/* MinNorm */
.long 0x00800000, 0x00800000, 0x00800000, 0x00800000
/* MaxNorm */
.align 16
.long 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff
/* iBrkValue = SP 2/3 */
.align 16
.long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab
/* iOffExpoMask = SP significand mask */
.align 16
.long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff
/* sOne = SP 1.0 */
.align 16
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
/* spoly[9] */
.align 16
.long 0x3e554012, 0x3e554012, 0x3e554012, 0x3e554012 /* coeff9 */
.long 0xbe638E14, 0xbe638E14, 0xbe638E14, 0xbe638E14 /* coeff8 */
.long 0x3e4D660B, 0x3e4D660B, 0x3e4D660B, 0x3e4D660B /* coeff7 */
.long 0xbe727824, 0xbe727824, 0xbe727824, 0xbe727824 /* coeff6 */
.long 0x3e93DD07, 0x3e93DD07, 0x3e93DD07, 0x3e93DD07 /* coeff5 */
.long 0xbeB8B969, 0xbeB8B969, 0xbeB8B969, 0xbeB8B969 /* coeff4 */
.long 0x3eF637C0, 0x3eF637C0, 0x3eF637C0, 0x3eF637C0 /* coeff3 */
.long 0xbf38AA2B, 0xbf38AA2B, 0xbf38AA2B, 0xbf38AA2B /* coeff2 */
.long 0x3fB8AA3B, 0x3fB8AA3B, 0x3fB8AA3B, 0x3fB8AA3B /* coeff1 */
.align 16
.type __svml_slog2_data_internal, @object
.size __svml_slog2_data_internal, .-__svml_slog2_data_internal
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