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/* Function atan2f 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:
* For 0.0 <= x <= 7.0/16.0: atan(x) = atan(0.0) + atan(s), where s=(x-0.0)/(1.0+0.0*x)
* For 7.0/16.0 <= x <= 11.0/16.0: atan(x) = atan(0.5) + atan(s), where s=(x-0.5)/(1.0+0.5*x)
* For 11.0/16.0 <= x <= 19.0/16.0: atan(x) = atan(1.0) + atan(s), where s=(x-1.0)/(1.0+1.0*x)
* For 19.0/16.0 <= x <= 39.0/16.0: atan(x) = atan(1.5) + atan(s), where s=(x-1.5)/(1.0+1.5*x)
* For 39.0/16.0 <= x <= inf : atan(x) = atan(inf) + atan(s), where s=-1.0/x
* Where atan(s) ~= s+s^3*Poly11(s^2) on interval |s|<7.0/0.16.
*
*
*/
/* Offsets for data table __svml_satan2_data_internal
*/
#define sZERO 0
#define sSIGN_MASK 16
#define sABS_MASK 32
#define sPIO2 48
#define sPI 64
#define sPC8 80
#define sPC7 96
#define sPC6 112
#define sPC5 128
#define sPC4 144
#define sPC3 160
#define sPC2 176
#define sPC1 192
#define sPC0 208
#define iCHK_WORK_SUB 224
#define iCHK_WORK_CMP 240
#include <sysdep.h>
.text
.section .text.sse4,"ax",@progbits
ENTRY(_ZGVbN4vv_atan2f_sse4)
subq $88, %rsp
cfi_def_cfa_offset(96)
movaps %xmm0, %xmm12
/*
* #define NO_VECTOR_ZERO_ATAN2_ARGS
* Declarations
* Variables
* Constants
* The end of declarations
* Implementation
* Arguments signs
*/
movups sABS_MASK+__svml_satan2_data_internal(%rip), %xmm10
movaps %xmm1, %xmm13
movaps %xmm10, %xmm11
andps %xmm12, %xmm10
andps %xmm13, %xmm11
movaps %xmm10, %xmm7
cmpltps %xmm11, %xmm7
/*
* 1) If y<x then a= y, b=x, PIO2=0
* 2) If y>x then a=-x, b=y, PIO2=Pi/2
*/
movups sSIGN_MASK+__svml_satan2_data_internal(%rip), %xmm6
movaps %xmm7, %xmm0
orps %xmm11, %xmm6
movaps %xmm10, %xmm4
andnps %xmm6, %xmm0
movaps %xmm7, %xmm6
movaps %xmm11, %xmm5
andps %xmm7, %xmm4
andnps %xmm10, %xmm6
andps %xmm7, %xmm5
orps %xmm4, %xmm0
orps %xmm5, %xmm6
/* Division a/b. */
divps %xmm6, %xmm0
/* Testing on working interval. */
movdqu iCHK_WORK_SUB+__svml_satan2_data_internal(%rip), %xmm14
movaps %xmm11, %xmm15
movaps %xmm10, %xmm3
psubd %xmm14, %xmm15
psubd %xmm14, %xmm3
movdqa %xmm15, %xmm1
movdqu iCHK_WORK_CMP+__svml_satan2_data_internal(%rip), %xmm2
movdqa %xmm3, %xmm14
pcmpgtd %xmm2, %xmm1
pcmpeqd %xmm2, %xmm15
pcmpgtd %xmm2, %xmm14
pcmpeqd %xmm2, %xmm3
por %xmm15, %xmm1
por %xmm3, %xmm14
por %xmm14, %xmm1
/* Polynomial. */
movaps %xmm0, %xmm14
mulps %xmm0, %xmm14
movaps %xmm13, %xmm4
movmskps %xmm1, %ecx
movaps %xmm14, %xmm15
movaps %xmm11, %xmm9
mulps %xmm14, %xmm15
pxor %xmm13, %xmm9
movups sPC8+__svml_satan2_data_internal(%rip), %xmm2
movaps %xmm10, %xmm8
mulps %xmm15, %xmm2
pxor %xmm12, %xmm8
movups sPC7+__svml_satan2_data_internal(%rip), %xmm3
xorl %edx, %edx
mulps %xmm15, %xmm3
addps sPC6+__svml_satan2_data_internal(%rip), %xmm2
mulps %xmm15, %xmm2
addps sPC5+__svml_satan2_data_internal(%rip), %xmm3
mulps %xmm15, %xmm3
addps sPC4+__svml_satan2_data_internal(%rip), %xmm2
mulps %xmm15, %xmm2
addps sPC3+__svml_satan2_data_internal(%rip), %xmm3
mulps %xmm15, %xmm3
addps sPC2+__svml_satan2_data_internal(%rip), %xmm2
mulps %xmm2, %xmm15
addps sPC1+__svml_satan2_data_internal(%rip), %xmm3
mulps %xmm3, %xmm14
addps sPC0+__svml_satan2_data_internal(%rip), %xmm15
/* if x<0, sPI = Pi, else sPI =0 */
movups __svml_satan2_data_internal(%rip), %xmm5
xorl %eax, %eax
andnps sPIO2+__svml_satan2_data_internal(%rip), %xmm7
addps %xmm14, %xmm15
cmpleps %xmm5, %xmm4
/* Reconstruction. */
mulps %xmm15, %xmm0
andps sPI+__svml_satan2_data_internal(%rip), %xmm4
addps %xmm7, %xmm0
orps %xmm9, %xmm0
addps %xmm4, %xmm0
orps %xmm8, %xmm0
/* Special branch for fast (vector) processing of zero arguments */
testl %ecx, %ecx
/* Go to auxilary branch */
jne L(AUX_BRANCH)
# LOE rbx rbp r12 r13 r14 r15 eax edx xmm0 xmm1 xmm4 xmm5 xmm6 xmm7 xmm8 xmm9 xmm10 xmm11 xmm12 xmm13
/* Return from auxilary branch
* for out of main path inputs
*/
L(AUX_BRANCH_RETURN):
/*
* Special branch for fast (vector) processing of zero arguments
* The end of implementation
*/
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx rbp r12 r13 r14 r15 eax edx xmm0 xmm12 xmm13
/* Restore registers
* and exit the function
*/
L(EXIT):
addq $88, %rsp
cfi_def_cfa_offset(8)
ret
cfi_def_cfa_offset(96)
/* Branch to process
* special inputs
*/
L(SPECIAL_VALUES_BRANCH):
movups %xmm12, 32(%rsp)
movups %xmm13, 48(%rsp)
movups %xmm0, 64(%rsp)
# LOE rbx rbp r12 r13 r14 r15 eax edx xmm0
movq %r12, 16(%rsp)
cfi_offset(12, -80)
movl %eax, %r12d
movq %r13, 8(%rsp)
cfi_offset(13, -88)
movl %edx, %r13d
movq %r14, (%rsp)
cfi_offset(14, -96)
# 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 64(%rsp), %xmm0
/* Go to exit */
jmp L(EXIT)
cfi_offset(12, -80)
cfi_offset(13, -88)
cfi_offset(14, -96)
# LOE rbx rbp r12 r13 r14 r15 xmm0
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp,%r14,4), %xmm0
movss 48(%rsp,%r14,4), %xmm1
call atan2f@PLT
# LOE rbx rbp r14 r15 r12d r13d xmm0
movss %xmm0, 64(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
cfi_restore(12)
cfi_restore(13)
cfi_restore(14)
# LOE rbx rbp r15 r12d r13d
/* Auxilary branch
* for out of main path inputs
*/
L(AUX_BRANCH):
/* Check if both X & Y are not NaNs: iXYnotNAN */
movaps %xmm13, %xmm3
movaps %xmm12, %xmm2
cmpordps %xmm13, %xmm3
cmpordps %xmm12, %xmm2
/*
* Path for zero arguments (at least one of both)
* Check if both args are zeros (den. is zero)
*/
cmpeqps %xmm5, %xmm6
/* Check if at least on of Y or Y is zero: iAXAYZERO */
pcmpeqd %xmm5, %xmm11
pcmpeqd %xmm5, %xmm10
andps %xmm2, %xmm3
por %xmm10, %xmm11
/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */
andps %xmm3, %xmm11
/* Exclude from previous callout mask zero (and not NaN) arguments */
movaps %xmm11, %xmm10
pandn %xmm1, %xmm10
/* Set sPIO2 to zero if den. is zero */
movaps %xmm6, %xmm1
andnps %xmm7, %xmm1
andps %xmm5, %xmm6
orps %xmm6, %xmm1
/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */
pcmpgtd %xmm13, %xmm5
orps %xmm9, %xmm1
andps %xmm4, %xmm5
/* Merge results from main and spec path */
movaps %xmm11, %xmm4
addps %xmm5, %xmm1
/* Go to callout */
movmskps %xmm10, %edx
orps %xmm8, %xmm1
andnps %xmm0, %xmm4
andps %xmm11, %xmm1
movaps %xmm4, %xmm0
orps %xmm1, %xmm0
/* Return to main vector processing path */
jmp L(AUX_BRANCH_RETURN)
# LOE rbx rbp r12 r13 r14 r15 eax edx xmm0 xmm12 xmm13
END(_ZGVbN4vv_atan2f_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_satan2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 sZERO[4][1];
__declspec(align(16)) VUINT32 sSIGN_MASK[4][1];
__declspec(align(16)) VUINT32 sABS_MASK[4][1];
__declspec(align(16)) VUINT32 sPIO2[4][1];
__declspec(align(16)) VUINT32 sPI[4][1];
__declspec(align(16)) VUINT32 sPC8[4][1];
__declspec(align(16)) VUINT32 sPC7[4][1];
__declspec(align(16)) VUINT32 sPC6[4][1];
__declspec(align(16)) VUINT32 sPC5[4][1];
__declspec(align(16)) VUINT32 sPC4[4][1];
__declspec(align(16)) VUINT32 sPC3[4][1];
__declspec(align(16)) VUINT32 sPC2[4][1];
__declspec(align(16)) VUINT32 sPC1[4][1];
__declspec(align(16)) VUINT32 sPC0[4][1];
__declspec(align(16)) VUINT32 iCHK_WORK_SUB[4][1];
__declspec(align(16)) VUINT32 iCHK_WORK_CMP[4][1];
} __svml_satan2_data_internal;
#endif
__svml_satan2_data_internal:
.long 0x00000000, 0x00000000, 0x00000000, 0x00000000 // sZERO
.align 16
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000 // sSIGN_MASK
.align 16
.long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF // sABS_MASK
.align 16
.long 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB // sPIO2
.align 16
.long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB // sPI
.align 16
.long 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0 // sA08
.align 16
.long 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631 // sA07
.align 16
.long 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384 // sA06
.align 16
.long 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629 // sA05
.align 16
.long 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474 // sA04
.align 16
.long 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8 // sA03
.align 16
.long 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F // sA02
.align 16
.long 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49 // sA01
.align 16
.long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 // sA00
.align 16
.long 0x81000000, 0x81000000, 0x81000000, 0x81000000 //iCHK_WORK_SUB
.align 16
.long 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000 //iCHK_WORK_CMP
.align 16
.type __svml_satan2_data_internal,@object
.size __svml_satan2_data_internal,.-__svml_satan2_data_internal
|
