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/* Function coshf vectorized with AVX2.
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:
*
* 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 32
#define _sLn2lo 64
#define _sSign 96
#define _sShifter 128
#define _iDomainRange 160
#define _sPC1 192
#define _sPC2 224
#define _sPC3 256
#define _sPC4 288
#define _sPC5 320
#define _sPC6 352
#define _iHalf 384
#include <sysdep.h>
.section .text.avx2, "ax", @progbits
ENTRY(_ZGVdN8v_coshf_avx2)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-32, %rsp
subq $96, %rsp
vmovups _sSign+__svml_scosh_data_internal(%rip), %ymm2
vmovups _sShifter+__svml_scosh_data_internal(%rip), %ymm7
/*
* Load argument
* dM = x/log(2) + RShifter
*/
vmovups _sInvLn2+__svml_scosh_data_internal(%rip), %ymm10
vmovups _sLn2hi+__svml_scosh_data_internal(%rip), %ymm8
vmovups _iDomainRange+__svml_scosh_data_internal(%rip), %ymm3
/*
* 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)
*/
vmovups _sPC5+__svml_scosh_data_internal(%rip), %ymm15
vmovups _iHalf+__svml_scosh_data_internal(%rip), %ymm11
vmovaps %ymm0, %ymm1
/*
* Implementation
* Abs argument
*/
vandnps %ymm1, %ymm2, %ymm0
vfmadd213ps %ymm7, %ymm0, %ymm10
/*
* R
* sN = sM - RShifter
*/
vsubps %ymm7, %ymm10, %ymm9
/*
* G1, G2 2^N, 2^(-N)
* iM now is an EXP(2^N)
*/
vpslld $23, %ymm10, %ymm12
/* Check for overflow\underflow */
vpcmpgtd %ymm3, %ymm0, %ymm4
vpcmpeqd %ymm3, %ymm0, %ymm5
/* sR = sX - sN*Log2_hi */
vfnmadd231ps %ymm8, %ymm9, %ymm0
vpaddd %ymm12, %ymm11, %ymm13
vpsubd %ymm12, %ymm11, %ymm14
vpor %ymm5, %ymm4, %ymm6
/* sR = (sX - sN*Log2_hi) - sN*Log2_lo */
vfnmadd231ps _sLn2lo+__svml_scosh_data_internal(%rip), %ymm9, %ymm0
/* sG1 = 2^(N-1)-2^(-N-1) */
vsubps %ymm14, %ymm13, %ymm4
/* sG2 = 2^(N-1)+2^(-N-1) */
vaddps %ymm14, %ymm13, %ymm3
/* sR2 = sR^2, shaffled */
vmulps %ymm0, %ymm0, %ymm2
vfmadd213ps _sPC3+__svml_scosh_data_internal(%rip), %ymm2, %ymm15
/* sSinh_r = r^2*(a3+r^2*a5) */
vmulps %ymm15, %ymm2, %ymm13
/* sSinh_r = r + r*(r^2*(a3+r^2*a5)) */
vfmadd213ps %ymm0, %ymm0, %ymm13
/*
* sinh(X) = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2)
* sOut = (a4 +a6*sR2)
*/
vmovups _sPC6+__svml_scosh_data_internal(%rip), %ymm0
vfmadd213ps _sPC4+__svml_scosh_data_internal(%rip), %ymm2, %ymm0
/* sOut = a2+sR2*(a4+a6*sR2) */
vfmadd213ps _sPC2+__svml_scosh_data_internal(%rip), %ymm2, %ymm0
/* sOut = sR2*(a2+sR2*(a4+a6*sR2) */
vmulps %ymm0, %ymm2, %ymm15
/* sOut = sG2*sR2*(a2+sR2*(a4+a6*sR2) */
vmulps %ymm15, %ymm3, %ymm14
/* sOut = sG1*sinh(dR)+sG2*sR2*(a2+sR2*(a4+a6*sR2) */
vfmadd213ps %ymm14, %ymm13, %ymm4
vmovmskps %ymm6, %edx
/* sOut = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2) */
vaddps %ymm4, %ymm3, %ymm0
/* Ret H */
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm1
/* 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 %ymm1, 32(%rsp)
vmovups %ymm0, 64(%rsp)
# LOE rbx r12 r13 r14 r15 edx ymm0
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: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 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: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 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 $8, %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 64(%rsp), %ymm0
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 ymm0
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
vmovss 32(%rsp, %r14, 4), %xmm0
call coshf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
vmovss %xmm0, 64(%rsp, %r14, 4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN8v_coshf_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_scosh_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(32)) VUINT32 _sInvLn2[8][1];
__declspec(align(32)) VUINT32 _sLn2hi[8][1];
__declspec(align(32)) VUINT32 _sLn2lo[8][1];
__declspec(align(32)) VUINT32 _sSign[8][1];
__declspec(align(32)) VUINT32 _sShifter[8][1];
__declspec(align(32)) VUINT32 _iDomainRange[8][1];
__declspec(align(32)) VUINT32 _sPC1[8][1];
__declspec(align(32)) VUINT32 _sPC2[8][1];
__declspec(align(32)) VUINT32 _sPC3[8][1];
__declspec(align(32)) VUINT32 _sPC4[8][1];
__declspec(align(32)) VUINT32 _sPC5[8][1];
__declspec(align(32)) VUINT32 _sPC6[8][1];
__declspec(align(32)) VUINT32 _iHalf[8][1];
} __svml_scosh_data_internal;
#endif
__svml_scosh_data_internal:
.long 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B /* _sInvLn2 */ // k=0
.align 32
.long 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000 /* _sLn2hi */
.align 32
.long 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4 /* _sLn2lo */
.align 32
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSign */
.align 32
.long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter */
.align 32
.long 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E /* _iDomainRange */
.align 32
.long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 /* _sPC1=1 */
.align 32
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _sPC2 */
.align 32
.long 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57 /* _sPC3 */
.align 32
.long 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72 /* _sPC4 */
.align 32
.long 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461 /* _sPC5 */
.align 32
.long 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3 /* _sPC6 */
// Integer constants
.align 32
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _iHalf */
.align 32
.type __svml_scosh_data_internal, @object
.size __svml_scosh_data_internal, .-__svml_scosh_data_internal
|
