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/* Function hypotf vectorized with AVX2.
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:
*
* HIGH LEVEL OVERVIEW
*
* Calculate z = (x*x+y*y)
* Calculate reciplicle sqrt (z)
* Calculate make two NR iterations
*
* ALGORITHM DETAILS
*
* Multiprecision branch for _HA_ only
* Remove sigm from both arguments
* Find maximum (_x) and minimum (_y) (by abs value) between arguments
* Split _x int _a and _b for multiprecision
* If _x >> _y we will we will not split _y for multiprecision
* all _y will be put into lower part (_d) and higher part (_c = 0)
* Fixing _hilo_mask for the case _x >> _y
* Split _y into _c and _d for multiprecision with fixed mask
*
* compute Hi and Lo parts of _z = _x*_x + _y*_y
*
* _zHi = _a*_a + _c*_c
* _zLo = (_x + _a)*_b + _d*_y + _d*_c
* _z = _zHi + _zLo
*
* No multiprecision branch for _LA_ and _EP_
* _z = _VARG1 * _VARG1 + _VARG2 * _VARG2
*
* Check _z exponent to be withing borders [1E3 ; 60A] else goto Callout
*
* Compute resciplicle sqrt s0 ~ 1.0/sqrt(_z),
* that multiplied by _z, is final result for _EP_ version.
*
* First iteration (or zero iteration):
* s = z * s0
* h = .5 * s0
* d = s * h - .5
*
* Second iteration:
* h = d * h + h
* s = s * d + s
* d = s * s - z (in multiprecision for _HA_)
*
* result = s - h * d
*
* EP version of the function can be implemented as y[i]=sqrt(a[i]^2+b[i]^2)
* with all intermediate operations done in target precision for i=1,..,n.
* It can return result y[i]=0 in case a[i]^2 and b[i]^2 underflow in target
* precision (for some i). It can return result y[i]=NAN in case
* a[i]^2+b[i]^2 overflow in target precision, for some i. It can return
* result y[i]=NAN in case a[i] or b[i] is infinite, for some i.
*
*
*/
/* Offsets for data table __svml_shypot_data_internal
*/
#define _sHiLoMask 0
#define _sAbsMask 32
#define _sHalf 64
#define _LowBoundary 96
#define _HighBoundary 128
#include <sysdep.h>
.text
.section .text.avx2,"ax",@progbits
ENTRY(_ZGVdN8vv_hypotf_avx2)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-32, %rsp
subq $128, %rsp
/*
* Implementation
* Multiprecision branch for _HA_ only
* No multiprecision branch for _LA_
* _z = _VARG1 * _VARG1 + _VARG2 * _VARG2
*/
vmulps %ymm0, %ymm0, %ymm8
/*
* Variables
* Defines
* Constants loading
*/
vmovups _sHalf+__svml_shypot_data_internal(%rip), %ymm7
/* Check _z exponent to be withing borders [1E3 ; 60A] else goto Callout */
vmovups _LowBoundary+__svml_shypot_data_internal(%rip), %ymm2
vfmadd231ps %ymm1, %ymm1, %ymm8
/* _s0 ~ 1.0/sqrt(_z) */
vrsqrtps %ymm8, %ymm6
vpcmpgtd %ymm8, %ymm2, %ymm3
/* First iteration */
vmulps %ymm8, %ymm6, %ymm9
vmulps %ymm7, %ymm6, %ymm2
vfnmadd231ps %ymm9, %ymm2, %ymm7
vfmadd213ps %ymm9, %ymm7, %ymm9
/* Second iteration */
vfmadd132ps %ymm7, %ymm2, %ymm2
vpcmpgtd _HighBoundary+__svml_shypot_data_internal(%rip), %ymm8, %ymm4
vpor %ymm4, %ymm3, %ymm5
/* Finish second iteration in native precision for _LA_ */
vfmsub231ps %ymm9, %ymm9, %ymm8
vmovmskps %ymm5, %edx
vfnmadd213ps %ymm9, %ymm8, %ymm2
/* The end of implementation */
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm1 ymm2
/* Restore registers
* and exit the function
*/
L(EXIT):
vmovaps %ymm2, %ymm0
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 %ymm0, 32(%rsp)
vmovups %ymm1, 64(%rsp)
vmovups %ymm2, 96(%rsp)
# LOE rbx r12 r13 r14 r15 edx ymm2
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: -112; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 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 96(%rsp), %ymm2
/* 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: -112; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 ymm2
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp,%r14,4), %xmm0
movss 64(%rsp,%r14,4), %xmm1
call hypotf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 96(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN8vv_hypotf_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_shypot_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct
{
__declspec(align(32)) VUINT32 _sHiLoMask[8][1];
__declspec(align(32)) VUINT32 _sAbsMask[8][1];
__declspec(align(32)) VUINT32 _sHalf[8][1];
__declspec(align(32)) VUINT32 _LowBoundary[8][1];
__declspec(align(32)) VUINT32 _HighBoundary[8][1];
} __svml_shypot_data_internal;
#endif
__svml_shypot_data_internal:
/* legacy algorithm */
.long 0xFFF80000, 0xFFF80000, 0xFFF80000, 0xFFF80000, 0xFFF80000, 0xFFF80000, 0xFFF80000, 0xFFF80000 /* _sHiLoMask */
.align 32
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */
.align 32
.long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _sHalf */
.align 32
.long 0x1E300000, 0x1E300000, 0x1E300000, 0x1E300000, 0x1E300000, 0x1E300000, 0x1E300000, 0x1E300000 /* _LowBoundary */
.align 32
.long 0x60A00000, 0x60A00000, 0x60A00000, 0x60A00000, 0x60A00000, 0x60A00000, 0x60A00000, 0x60A00000 /* _HighBoundary */
.align 32
.type __svml_shypot_data_internal,@object
.size __svml_shypot_data_internal,.-__svml_shypot_data_internal
|
