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/* Function coshf vectorized with SSE4.
Copyright (C) 2021 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:
*
* Compute cosh(x) as (exp(x)+exp(-x))/2,
* where exp is calculated as
* exp(M*ln2 + ln2*(j/2^k) + r) = 2^M * 2^(j/2^k) * exp(r)
*
* Special cases:
*
* cosh(NaN) = quiet NaN, and raise invalid exception
* cosh(INF) = that INF
* cosh(0) = 1
* cosh(x) overflows for big x and returns MAXLOG+log(2)
*
*/
/* Offsets for data table __svml_scosh_data_internal
*/
#define _sInvLn2 0
#define _sLn2hi 16
#define _sLn2lo 32
#define _sSign 48
#define _sShifter 64
#define _iDomainRange 80
#define _sPC1 96
#define _sPC2 112
#define _sPC3 128
#define _sPC4 144
#define _sPC5 160
#define _sPC6 176
#define _iHalf 192
#include <sysdep.h>
.text
.section .text.sse4,"ax",@progbits
ENTRY(_ZGVbN4v_coshf_sse4)
subq $72, %rsp
cfi_def_cfa_offset(80)
/*
* Implementation
* Abs argument
*/
movups _sSign+__svml_scosh_data_internal(%rip), %xmm1
/*
* Load argument
* dM = x/log(2) + RShifter
*/
movups _sInvLn2+__svml_scosh_data_internal(%rip), %xmm9
andnps %xmm0, %xmm1
mulps %xmm1, %xmm9
/* Check for overflow\underflow */
movaps %xmm1, %xmm3
movups _sShifter+__svml_scosh_data_internal(%rip), %xmm4
movups _sLn2hi+__svml_scosh_data_internal(%rip), %xmm5
addps %xmm4, %xmm9
/*
* R
* sN = sM - RShifter
*/
movaps %xmm9, %xmm6
/*
* G1,G2 2^N,2^(-N)
* iM now is an EXP(2^N)
*/
pslld $23, %xmm9
movups _sLn2lo+__svml_scosh_data_internal(%rip), %xmm7
subps %xmm4, %xmm6
/* sR = sX - sN*Log2_hi */
mulps %xmm6, %xmm5
/* sR = (sX - sN*Log2_hi) - sN*Log2_lo */
mulps %xmm6, %xmm7
movdqu _iDomainRange+__svml_scosh_data_internal(%rip), %xmm2
pcmpgtd %xmm2, %xmm3
pcmpeqd %xmm1, %xmm2
/*
* sinh(r) = r*((a1=1)+r^2*(a3+r^2*(a5+{v1 r^2*a7})))) = r + r*(r^2*(a3+r^2*(a5+r^2*a7))) ....
* sSinh_r = (a3+r^2*a5)
*/
movups _sPC5+__svml_scosh_data_internal(%rip), %xmm10
por %xmm2, %xmm3
/*
* sinh(X) = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2)
* sOut = (a4 +a6*sR2)
*/
movups _sPC6+__svml_scosh_data_internal(%rip), %xmm11
subps %xmm5, %xmm1
movmskps %xmm3, %edx
movdqu _iHalf+__svml_scosh_data_internal(%rip), %xmm8
subps %xmm7, %xmm1
/* sR2 = sR^2,shaffled */
movaps %xmm1, %xmm13
movdqa %xmm8, %xmm2
mulps %xmm1, %xmm13
paddd %xmm9, %xmm2
mulps %xmm13, %xmm10
psubd %xmm9, %xmm8
mulps %xmm13, %xmm11
addps _sPC3+__svml_scosh_data_internal(%rip), %xmm10
addps _sPC4+__svml_scosh_data_internal(%rip), %xmm11
/* sSinh_r = r^2*(a3+r^2*a5) */
mulps %xmm13, %xmm10
/* sOut = a2+sR2*(a4+a6*sR2) */
mulps %xmm13, %xmm11
/* sSinh_r = r + r*(r^2*(a3+r^2*a5)) */
mulps %xmm1, %xmm10
addps _sPC2+__svml_scosh_data_internal(%rip), %xmm11
addps %xmm10, %xmm1
/* sOut = sR2*(a2+sR2*(a4+a6*sR2) */
mulps %xmm11, %xmm13
/* sG1 = 2^(N-1)-2^(-N-1) */
movdqa %xmm2, %xmm12
/* sG2 = 2^(N-1)+2^(-N-1) */
addps %xmm8, %xmm2
subps %xmm8, %xmm12
/* sOut = sG2*sR2*(a2+sR2*(a4+a6*sR2) */
mulps %xmm2, %xmm13
/* sOut = sG1*sinh(dR)+sG2*sR2*(a2+sR2*(a4+a6*sR2) */
mulps %xmm1, %xmm12
addps %xmm12, %xmm13
/* sOut = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2) */
addps %xmm13, %xmm2
/* Ret H */
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm2
/* Restore registers
* and exit the function
*/
L(EXIT):
movaps %xmm2, %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 %xmm2, 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), %xmm2
/* 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 xmm2
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp,%r14,4), %xmm0
call coshf@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_coshf_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_scosh_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct
{
__declspec(align(16)) VUINT32 _sInvLn2[4][1];
__declspec(align(16)) VUINT32 _sLn2hi[4][1];
__declspec(align(16)) VUINT32 _sLn2lo[4][1];
__declspec(align(16)) VUINT32 _sSign[4][1];
__declspec(align(16)) VUINT32 _sShifter[4][1];
__declspec(align(16)) VUINT32 _iDomainRange[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 _iHalf[4][1];
} __svml_scosh_data_internal;
#endif
__svml_scosh_data_internal:
.long 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B /* _sInvLn2 */ //k=0
.align 16
.long 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000 /* _sLn2hi */
.align 16
.long 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4 /* _sLn2lo */
.align 16
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSign */
.align 16
.long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter */
.align 16
.long 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E /* _iDomainRange */
.align 16
.long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 /* _sPC1=1 */
.align 16
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _sPC2 */
.align 16
.long 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57 /* _sPC3 */
.align 16
.long 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72 /* _sPC4 */
.align 16
.long 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461 /* _sPC5 */
.align 16
.long 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3 /* _sPC6 */
// Integer constants
.align 16
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _iHalf*/
.align 16
.type __svml_scosh_data_internal,@object
.size __svml_scosh_data_internal,.-__svml_scosh_data_internal
|
