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/* Function exp2f 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:
*
* exp2(x) = 2^n * T[j] * (1 + P(y))
* where
* x = m*(1/K) + y, y in [-1/K..1/K]
* m = n*K + j, m, n,j - signed integer, j in [-K/2..K/2]
*
* values of 2^j/K are tabulated
*
* P(y) is a minimax polynomial approximation of exp2(x)-1
* on small interval [-1/K..1/K]
*
* Special cases:
*
* exp2(NaN) = NaN
* exp2(+INF) = +INF
* exp2(-INF) = 0
* exp2(x) = 1 for subnormals
* For IEEE float
* if x >= 128.0 then exp2f(x) overflow
* if x < -151.0 then exp2f(x) underflow
*
*/
/* Offsets for data table __svml_sexp2_data_internal
*/
#define _sShifter 0
#define _sPC0 16
#define _sPC1 32
#define _sPC2 48
#define _sPC3 64
#define _sPC4 80
#define _sPC5 96
#define _sPC6 112
#define _iAbsMask 128
#define _iDomainRange 144
#include <sysdep.h>
.section .text.sse4, "ax", @progbits
ENTRY(_ZGVbN4v_exp2f_sse4)
subq $72, %rsp
cfi_def_cfa_offset(80)
/* Check for overflow\underflow */
movups __svml_sexp2_data_internal(%rip), %xmm1
/* Implementation */
movaps %xmm1, %xmm5
/* Polynomial */
movups _sPC6+__svml_sexp2_data_internal(%rip), %xmm4
addps %xmm0, %xmm5
movaps %xmm5, %xmm3
/* 2^N */
pslld $23, %xmm5
/* Check for overflow\underflow */
movdqu _iAbsMask+__svml_sexp2_data_internal(%rip), %xmm2
subps %xmm1, %xmm3
/* R */
movaps %xmm0, %xmm1
pand %xmm0, %xmm2
pcmpgtd _iDomainRange+__svml_sexp2_data_internal(%rip), %xmm2
subps %xmm3, %xmm1
movmskps %xmm2, %edx
mulps %xmm1, %xmm4
addps _sPC5+__svml_sexp2_data_internal(%rip), %xmm4
mulps %xmm1, %xmm4
addps _sPC4+__svml_sexp2_data_internal(%rip), %xmm4
mulps %xmm1, %xmm4
addps _sPC3+__svml_sexp2_data_internal(%rip), %xmm4
mulps %xmm1, %xmm4
addps _sPC2+__svml_sexp2_data_internal(%rip), %xmm4
mulps %xmm1, %xmm4
addps _sPC1+__svml_sexp2_data_internal(%rip), %xmm4
mulps %xmm4, %xmm1
addps _sPC0+__svml_sexp2_data_internal(%rip), %xmm1
/* Reconstruction */
paddd %xmm5, %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 fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp, %r14, 4), %xmm0
call exp2f@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_exp2f_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_sexp2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 _sShifter[4][1];
__declspec(align(16)) VUINT32 _sPC0[4][1];
__declspec(align(16)) VUINT32 _sPC1[4][1];
__declspec(align(16)) VUINT32 _sPC2[4][1];
__declspec(align(16)) VUINT32 _sPC3[4][1];
__declspec(align(16)) VUINT32 _sPC4[4][1];
__declspec(align(16)) VUINT32 _sPC5[4][1];
__declspec(align(16)) VUINT32 _sPC6[4][1];
__declspec(align(16)) VUINT32 _iAbsMask[4][1];
__declspec(align(16)) VUINT32 _iDomainRange[4][1];
} __svml_sexp2_data_internal;
#endif
__svml_sexp2_data_internal:
.long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter */
.align 16
.long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 /* _sPC0 */
.align 16
.long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218 /* _sPC1 */
.align 16
.long 0x3e75fdef, 0x3e75fdef, 0x3e75fdef, 0x3e75fdef /* _sPC2 */
.align 16
.long 0x3d6357cf, 0x3d6357cf, 0x3d6357cf, 0x3d6357cf /* _sPC3 */
.align 16
.long 0x3c1d962c, 0x3c1d962c, 0x3c1d962c, 0x3c1d962c /* _sPC4 */
.align 16
.long 0x3aaf7a51, 0x3aaf7a51, 0x3aaf7a51, 0x3aaf7a51 /* _sPC5 */
.align 16
.long 0x39213c8c, 0x39213c8c, 0x39213c8c, 0x39213c8c /* _sPC6 */
//common
.align 16
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */
.align 16
.long 0x42fc0000, 0x42fc0000, 0x42fc0000, 0x42fc0000 /* _iDomainRange=126.0 */
.align 16
.type __svml_sexp2_data_internal, @object
.size __svml_sexp2_data_internal, .-__svml_sexp2_data_internal
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