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x86-64: Add vector atan2/atan2f implementation to libmvec

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Implement vectorized atan2/atan2f containing SSE, AVX, AVX2 and
AVX512 versions for libmvec as per vector ABI.  It also contains
accuracy and ABI tests for vector atan2/atan2f with regenerated ulps.

Reviewed-by: H.J. Lu <hjl.tools@gmail.com>
This commit is contained in:
Sunil K Pandey 2021-12-29 09:17:28 -08:00
parent 2bf02c5843
commit 2941a24f8c
50 changed files with 3117 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

11
bits/libm-simd-decl-stubs.h
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@ -208,4 +208,15 @@
#define __DECL_SIMD_cbrtf32x
#define __DECL_SIMD_cbrtf64x
#define __DECL_SIMD_cbrtf128x
#define __DECL_SIMD_atan2
#define __DECL_SIMD_atan2f
#define __DECL_SIMD_atan2l
#define __DECL_SIMD_atan2f16
#define __DECL_SIMD_atan2f32
#define __DECL_SIMD_atan2f64
#define __DECL_SIMD_atan2f128
#define __DECL_SIMD_atan2f32x
#define __DECL_SIMD_atan2f64x
#define __DECL_SIMD_atan2f128x
#endif

2
math/bits/mathcalls.h
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@ -56,7 +56,7 @@ __MATHCALL_VEC (asin,, (_Mdouble_ __x));
/* Arc tangent of X. */
__MATHCALL_VEC (atan,, (_Mdouble_ __x));
/* Arc tangent of Y/X. */
__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
__MATHCALL_VEC (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
/* Cosine of X. */
__MATHCALL_VEC (cos,, (_Mdouble_ __x));

8
sysdeps/unix/sysv/linux/x86_64/libmvec.abilist
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@ -55,6 +55,7 @@ GLIBC_2.35 _ZGVbN2v_exp10 F
GLIBC_2.35 _ZGVbN2v_exp2 F
GLIBC_2.35 _ZGVbN2v_expm1 F
GLIBC_2.35 _ZGVbN2v_sinh F
GLIBC_2.35 _ZGVbN2vv_atan2 F
GLIBC_2.35 _ZGVbN2vv_hypot F
GLIBC_2.35 _ZGVbN4v_acosf F
GLIBC_2.35 _ZGVbN4v_asinf F
@ -65,6 +66,7 @@ GLIBC_2.35 _ZGVbN4v_exp10f F
GLIBC_2.35 _ZGVbN4v_exp2f F
GLIBC_2.35 _ZGVbN4v_expm1f F
GLIBC_2.35 _ZGVbN4v_sinhf F
GLIBC_2.35 _ZGVbN4vv_atan2f F
GLIBC_2.35 _ZGVbN4vv_hypotf F
GLIBC_2.35 _ZGVcN4v_acos F
GLIBC_2.35 _ZGVcN4v_asin F
@ -75,6 +77,7 @@ GLIBC_2.35 _ZGVcN4v_exp10 F
GLIBC_2.35 _ZGVcN4v_exp2 F
GLIBC_2.35 _ZGVcN4v_expm1 F
GLIBC_2.35 _ZGVcN4v_sinh F
GLIBC_2.35 _ZGVcN4vv_atan2 F
GLIBC_2.35 _ZGVcN4vv_hypot F
GLIBC_2.35 _ZGVcN8v_acosf F
GLIBC_2.35 _ZGVcN8v_asinf F
@ -85,6 +88,7 @@ GLIBC_2.35 _ZGVcN8v_exp10f F
GLIBC_2.35 _ZGVcN8v_exp2f F
GLIBC_2.35 _ZGVcN8v_expm1f F
GLIBC_2.35 _ZGVcN8v_sinhf F
GLIBC_2.35 _ZGVcN8vv_atan2f F
GLIBC_2.35 _ZGVcN8vv_hypotf F
GLIBC_2.35 _ZGVdN4v_acos F
GLIBC_2.35 _ZGVdN4v_asin F
@ -95,6 +99,7 @@ GLIBC_2.35 _ZGVdN4v_exp10 F
GLIBC_2.35 _ZGVdN4v_exp2 F
GLIBC_2.35 _ZGVdN4v_expm1 F
GLIBC_2.35 _ZGVdN4v_sinh F
GLIBC_2.35 _ZGVdN4vv_atan2 F
GLIBC_2.35 _ZGVdN4vv_hypot F
GLIBC_2.35 _ZGVdN8v_acosf F
GLIBC_2.35 _ZGVdN8v_asinf F
@ -105,6 +110,7 @@ GLIBC_2.35 _ZGVdN8v_exp10f F
GLIBC_2.35 _ZGVdN8v_exp2f F
GLIBC_2.35 _ZGVdN8v_expm1f F
GLIBC_2.35 _ZGVdN8v_sinhf F
GLIBC_2.35 _ZGVdN8vv_atan2f F
GLIBC_2.35 _ZGVdN8vv_hypotf F
GLIBC_2.35 _ZGVeN16v_acosf F
GLIBC_2.35 _ZGVeN16v_asinf F
@ -115,6 +121,7 @@ GLIBC_2.35 _ZGVeN16v_exp10f F
GLIBC_2.35 _ZGVeN16v_exp2f F
GLIBC_2.35 _ZGVeN16v_expm1f F
GLIBC_2.35 _ZGVeN16v_sinhf F
GLIBC_2.35 _ZGVeN16vv_atan2f F
GLIBC_2.35 _ZGVeN16vv_hypotf F
GLIBC_2.35 _ZGVeN8v_acos F
GLIBC_2.35 _ZGVeN8v_asin F
@ -125,4 +132,5 @@ GLIBC_2.35 _ZGVeN8v_exp10 F
GLIBC_2.35 _ZGVeN8v_exp2 F
GLIBC_2.35 _ZGVeN8v_expm1 F
GLIBC_2.35 _ZGVeN8v_sinh F
GLIBC_2.35 _ZGVeN8vv_atan2 F
GLIBC_2.35 _ZGVeN8vv_hypot F

4
sysdeps/x86/fpu/bits/math-vector.h
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@ -98,6 +98,10 @@
# define __DECL_SIMD_cbrt __DECL_SIMD_x86_64
# undef __DECL_SIMD_cbrtf
# define __DECL_SIMD_cbrtf __DECL_SIMD_x86_64
# undef __DECL_SIMD_atan2
# define __DECL_SIMD_atan2 __DECL_SIMD_x86_64
# undef __DECL_SIMD_atan2f
# define __DECL_SIMD_atan2f __DECL_SIMD_x86_64
# endif
#endif

4
sysdeps/x86/fpu/finclude/math-vector-fortran.h
View File

@ -48,6 +48,8 @@
!GCC$ builtin (sinhf) attributes simd (notinbranch) if('x86_64')
!GCC$ builtin (cbrt) attributes simd (notinbranch) if('x86_64')
!GCC$ builtin (cbrtf) attributes simd (notinbranch) if('x86_64')
!GCC$ builtin (atan2) attributes simd (notinbranch) if('x86_64')
!GCC$ builtin (atan2f) attributes simd (notinbranch) if('x86_64')
!GCC$ builtin (cos) attributes simd (notinbranch) if('x32')
!GCC$ builtin (cosf) attributes simd (notinbranch) if('x32')
@ -81,3 +83,5 @@
!GCC$ builtin (sinhf) attributes simd (notinbranch) if('x32')
!GCC$ builtin (cbrt) attributes simd (notinbranch) if('x32')
!GCC$ builtin (cbrtf) attributes simd (notinbranch) if('x32')
!GCC$ builtin (atan2) attributes simd (notinbranch) if('x32')
!GCC$ builtin (atan2f) attributes simd (notinbranch) if('x32')

1
sysdeps/x86_64/fpu/Makeconfig
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@ -25,6 +25,7 @@ libmvec-funcs = \
acos \
asin \
atan \
atan2 \
cbrt \
cos \
cosh \

2
sysdeps/x86_64/fpu/Versions
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@ -23,6 +23,7 @@ libmvec {
_ZGVbN2v_exp2; _ZGVcN4v_exp2; _ZGVdN4v_exp2; _ZGVeN8v_exp2;
_ZGVbN2v_expm1; _ZGVcN4v_expm1; _ZGVdN4v_expm1; _ZGVeN8v_expm1;
_ZGVbN2v_sinh; _ZGVcN4v_sinh; _ZGVdN4v_sinh; _ZGVeN8v_sinh;
_ZGVbN2vv_atan2; _ZGVcN4vv_atan2; _ZGVdN4vv_atan2; _ZGVeN8vv_atan2;
_ZGVbN2vv_hypot; _ZGVcN4vv_hypot; _ZGVdN4vv_hypot; _ZGVeN8vv_hypot;
_ZGVbN4v_acosf; _ZGVcN8v_acosf; _ZGVdN8v_acosf; _ZGVeN16v_acosf;
_ZGVbN4v_asinf; _ZGVcN8v_asinf; _ZGVdN8v_asinf; _ZGVeN16v_asinf;
@ -33,6 +34,7 @@ libmvec {
_ZGVbN4v_exp2f; _ZGVcN8v_exp2f; _ZGVdN8v_exp2f; _ZGVeN16v_exp2f;
_ZGVbN4v_expm1f; _ZGVcN8v_expm1f; _ZGVdN8v_expm1f; _ZGVeN16v_expm1f;
_ZGVbN4v_sinhf; _ZGVcN8v_sinhf; _ZGVdN8v_sinhf; _ZGVeN16v_sinhf;
_ZGVbN4vv_atan2f; _ZGVcN8vv_atan2f; _ZGVdN8vv_atan2f; _ZGVeN16vv_atan2f;
_ZGVbN4vv_hypotf; _ZGVcN8vv_hypotf; _ZGVdN8vv_hypotf; _ZGVeN16vv_hypotf;
}
}

20
sysdeps/x86_64/fpu/libm-test-ulps
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@ -166,6 +166,26 @@ float: 2
float128: 2
ldouble: 1
Function: "atan2_vlen16":
float: 2
Function: "atan2_vlen2":
double: 1
Function: "atan2_vlen4":
double: 1
float: 2
Function: "atan2_vlen4_avx2":
double: 1
Function: "atan2_vlen8":
double: 1
float: 2
Function: "atan2_vlen8_avx2":
float: 2
Function: "atan_downward":
double: 1
float: 2

20
sysdeps/x86_64/fpu/multiarch/svml_d_atan22_core-sse2.S Normal file
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@ -0,0 +1,20 @@
/* SSE2 version of vectorized atan2.
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/>. */
#define _ZGVbN2vv_atan2 _ZGVbN2vv_atan2_sse2
#include "../svml_d_atan22_core.S"

28
sysdeps/x86_64/fpu/multiarch/svml_d_atan22_core.c Normal file
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@ -0,0 +1,28 @@
/* Multiple versions of vectorized atan2, vector length is 2.
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/>. */
#define SYMBOL_NAME _ZGVbN2vv_atan2
#include "ifunc-mathvec-sse4_1.h"
libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
#ifdef SHARED
__hidden_ver1 (_ZGVbN2vv_atan2, __GI__ZGVbN2vv_atan2,
__redirect__ZGVbN2vv_atan2)
__attribute__ ((visibility ("hidden")));
#endif

471
sysdeps/x86_64/fpu/multiarch/svml_d_atan22_core_sse4.S Normal file
View File

@ -0,0 +1,471 @@
/* Function atan2 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_datan2_data_internal
*/
#define dPI 0
#define dPIO2 16
#define dA19 32
#define dA18 48
#define dA17 64
#define dA16 80
#define dA15 96
#define dA14 112
#define dA13 128
#define dA12 144
#define dA11 160
#define dA10 176
#define dA09 192
#define dA08 208
#define dA07 224
#define dA06 240
#define dA05 256
#define dA04 272
#define dA03 288
#define dA02 304
#define dA01 320
#define dA00 336
#define dSIGN_MASK 352
#define iCHK_WORK_SUB 368
#define iCHK_WORK_CMP 384
#define dABS_MASK 400
#define dZERO 416
#include <sysdep.h>
.text
.section .text.sse4,"ax",@progbits
ENTRY(_ZGVbN2vv_atan2_sse4)
subq $88, %rsp
cfi_def_cfa_offset(96)
movaps %xmm0, %xmm8
/*
* #define NO_VECTOR_ZERO_ATAN2_ARGS
* Declarations
* Variables
* Constants
* The end of declarations
* Implementation
* Get r0~=1/B
* Cannot be replaced by VQRCP(D, dR0, dB);
* Argument Absolute values
*/
movups dABS_MASK+__svml_datan2_data_internal(%rip), %xmm4
movaps %xmm1, %xmm9
movaps %xmm4, %xmm1
andps %xmm8, %xmm4
andps %xmm9, %xmm1
movaps %xmm4, %xmm2
cmpnltpd %xmm1, %xmm2
/* Argument signs */
movups dSIGN_MASK+__svml_datan2_data_internal(%rip), %xmm3
movaps %xmm2, %xmm0
movups dPIO2+__svml_datan2_data_internal(%rip), %xmm5
movaps %xmm3, %xmm7
movaps %xmm3, %xmm6
/*
* 1) If y<x then a= y, b=x, PIO2=0
* 2) If y>x then a=-x, b=y, PIO2=Pi/2
*/
orps %xmm1, %xmm3
movaps %xmm2, %xmm10
andps %xmm2, %xmm5
andnps %xmm4, %xmm0
andps %xmm2, %xmm3
andnps %xmm1, %xmm10
andps %xmm4, %xmm2
orps %xmm3, %xmm0
orps %xmm2, %xmm10
divpd %xmm10, %xmm0
movq iCHK_WORK_SUB+__svml_datan2_data_internal(%rip), %xmm11
/* if x<0, dPI = Pi, else dPI =0 */
movaps %xmm9, %xmm3
/* Check if y and x are on main path. */
pshufd $221, %xmm1, %xmm12
andps %xmm9, %xmm7
psubd %xmm11, %xmm12
andps %xmm8, %xmm6
movq iCHK_WORK_CMP+__svml_datan2_data_internal(%rip), %xmm13
xorl %edx, %edx
movups %xmm4, 16(%rsp)
xorl %eax, %eax
pshufd $221, %xmm4, %xmm14
movdqa %xmm12, %xmm4
pcmpgtd %xmm13, %xmm4
pcmpeqd %xmm13, %xmm12
por %xmm12, %xmm4
/* Polynomial. */
movaps %xmm0, %xmm12
mulpd %xmm0, %xmm12
cmplepd dZERO+__svml_datan2_data_internal(%rip), %xmm3
psubd %xmm11, %xmm14
movdqa %xmm14, %xmm15
pcmpeqd %xmm13, %xmm14
pcmpgtd %xmm13, %xmm15
por %xmm14, %xmm15
movaps %xmm12, %xmm14
mulpd %xmm12, %xmm14
por %xmm15, %xmm4
movaps %xmm14, %xmm15
mulpd %xmm14, %xmm15
movmskps %xmm4, %ecx
movups %xmm10, (%rsp)
movups dA19+__svml_datan2_data_internal(%rip), %xmm10
mulpd %xmm15, %xmm10
movups dA18+__svml_datan2_data_internal(%rip), %xmm13
movups dA17+__svml_datan2_data_internal(%rip), %xmm11
addpd dA15+__svml_datan2_data_internal(%rip), %xmm10
mulpd %xmm15, %xmm13
mulpd %xmm15, %xmm11
mulpd %xmm15, %xmm10
addpd dA14+__svml_datan2_data_internal(%rip), %xmm13
addpd dA13+__svml_datan2_data_internal(%rip), %xmm11
addpd dA11+__svml_datan2_data_internal(%rip), %xmm10
mulpd %xmm15, %xmm13
mulpd %xmm15, %xmm11
mulpd %xmm15, %xmm10
addpd dA10+__svml_datan2_data_internal(%rip), %xmm13
addpd dA09+__svml_datan2_data_internal(%rip), %xmm11
addpd dA07+__svml_datan2_data_internal(%rip), %xmm10
mulpd %xmm15, %xmm13
mulpd %xmm15, %xmm11
mulpd %xmm15, %xmm10
addpd dA06+__svml_datan2_data_internal(%rip), %xmm13
addpd dA05+__svml_datan2_data_internal(%rip), %xmm11
addpd dA03+__svml_datan2_data_internal(%rip), %xmm10
mulpd %xmm15, %xmm13
mulpd %xmm15, %xmm11
mulpd %xmm12, %xmm10
addpd dA02+__svml_datan2_data_internal(%rip), %xmm13
addpd dA01+__svml_datan2_data_internal(%rip), %xmm11
addpd %xmm10, %xmm13
mulpd %xmm11, %xmm12
mulpd %xmm13, %xmm14
movups dA16+__svml_datan2_data_internal(%rip), %xmm2
mulpd %xmm15, %xmm2
addpd dA12+__svml_datan2_data_internal(%rip), %xmm2
mulpd %xmm15, %xmm2
addpd dA08+__svml_datan2_data_internal(%rip), %xmm2
mulpd %xmm15, %xmm2
addpd dA04+__svml_datan2_data_internal(%rip), %xmm2
/* A00=1.0, account for it later VQFMA(D, dP4, dP4, dR8, dA00); */
mulpd %xmm2, %xmm15
addpd %xmm12, %xmm15
addpd %xmm14, %xmm15
/*
* Reconstruction.
* dP=(R+R*dP) + dPIO2
*/
mulpd %xmm0, %xmm15
addpd %xmm15, %xmm0
addpd %xmm5, %xmm0
andps __svml_datan2_data_internal(%rip), %xmm3
orps %xmm7, %xmm0
addpd %xmm3, %xmm0
/* Special branch for fast (vector) processing of zero arguments */
movups 16(%rsp), %xmm11
orps %xmm6, %xmm0
testb $3, %cl
/* Go to auxilary branch */
jne L(AUX_BRANCH)
# LOE rbx rbp r12 r13 r14 r15 eax edx xmm0 xmm1 xmm3 xmm4 xmm5 xmm6 xmm7 xmm8 xmm9 xmm11
/* 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 xmm8 xmm9
/* 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 %xmm8, 32(%rsp)
movups %xmm9, 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 $2, %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
movsd 32(%rsp,%r14,8), %xmm0
movsd 48(%rsp,%r14,8), %xmm1
call atan2@PLT
# LOE rbx rbp r14 r15 r12d r13d xmm0
movsd %xmm0, 64(%rsp,%r14,8)
/* 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 at least on of Y or Y is zero: iAXAYZERO */
movups dZERO+__svml_datan2_data_internal(%rip), %xmm2
/* Check if both X & Y are not NaNs: iXYnotNAN */
movaps %xmm9, %xmm12
movaps %xmm8, %xmm10
cmpordpd %xmm9, %xmm12
cmpordpd %xmm8, %xmm10
cmpeqpd %xmm2, %xmm1
cmpeqpd %xmm2, %xmm11
andps %xmm10, %xmm12
orps %xmm11, %xmm1
pshufd $221, %xmm1, %xmm1
pshufd $221, %xmm12, %xmm11
/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */
pand %xmm11, %xmm1
/* Exclude from previous callout mask zero (and not NaN) arguments */
movdqa %xmm1, %xmm13
pandn %xmm4, %xmm13
/*
* Path for zero arguments (at least one of both)
* Check if both args are zeros (den. is zero)
*/
movups (%rsp), %xmm4
cmpeqpd %xmm2, %xmm4
/* Go to callout */
movmskps %xmm13, %edx
/* Set sPIO2 to zero if den. is zero */
movaps %xmm4, %xmm15
andps %xmm2, %xmm4
andnps %xmm5, %xmm15
andl $3, %edx
orps %xmm4, %xmm15
pshufd $221, %xmm9, %xmm5
orps %xmm7, %xmm15
/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */
pshufd $221, %xmm2, %xmm7
pcmpgtd %xmm5, %xmm7
pshufd $80, %xmm7, %xmm14
andps %xmm3, %xmm14
addpd %xmm14, %xmm15
/* Merge results from main and spec path */
pshufd $80, %xmm1, %xmm3
orps %xmm6, %xmm15
movdqa %xmm3, %xmm6
andps %xmm3, %xmm15
andnps %xmm0, %xmm6
movaps %xmm6, %xmm0
orps %xmm15, %xmm0
/* Return to main vector processing path */
jmp L(AUX_BRANCH_RETURN)
# LOE rbx rbp r12 r13 r14 r15 eax edx xmm0 xmm8 xmm9
END(_ZGVbN2vv_atan2_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_datan2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 dPI[2][2];
__declspec(align(16)) VUINT32 dPIO2[2][2];
__declspec(align(16)) VUINT32 dA19[2][2];
__declspec(align(16)) VUINT32 dA18[2][2];
__declspec(align(16)) VUINT32 dA17[2][2];
__declspec(align(16)) VUINT32 dA16[2][2];
__declspec(align(16)) VUINT32 dA15[2][2];
__declspec(align(16)) VUINT32 dA14[2][2];
__declspec(align(16)) VUINT32 dA13[2][2];
__declspec(align(16)) VUINT32 dA12[2][2];
__declspec(align(16)) VUINT32 dA11[2][2];
__declspec(align(16)) VUINT32 dA10[2][2];
__declspec(align(16)) VUINT32 dA09[2][2];
__declspec(align(16)) VUINT32 dA08[2][2];
__declspec(align(16)) VUINT32 dA07[2][2];
__declspec(align(16)) VUINT32 dA06[2][2];
__declspec(align(16)) VUINT32 dA05[2][2];
__declspec(align(16)) VUINT32 dA04[2][2];
__declspec(align(16)) VUINT32 dA03[2][2];
__declspec(align(16)) VUINT32 dA02[2][2];
__declspec(align(16)) VUINT32 dA01[2][2];
__declspec(align(16)) VUINT32 dA00[2][2];
__declspec(align(16)) VUINT32 dSIGN_MASK[2][2];
__declspec(align(16)) VUINT32 iCHK_WORK_SUB[4][1];
__declspec(align(16)) VUINT32 iCHK_WORK_CMP[4][1];
__declspec(align(16)) VUINT32 dABS_MASK[2][2];
__declspec(align(16)) VUINT32 dZERO[2][2];
} __svml_datan2_data_internal;
#endif
__svml_datan2_data_internal:
.quad 0x400921FB54442D18, 0x400921FB54442D18 //dPI
.align 16
.quad 0x3FF921FB54442D18, 0x3FF921FB54442D18 //dPIO2
.align 16
.quad 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3 // dA19
.align 16
.quad 0x3F2CED0A36665209, 0x3F2CED0A36665209 // dA18
.align 16
.quad 0xBF52E67C93954C23, 0xBF52E67C93954C23 // dA17
.align 16
.quad 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3 // dA16
.align 16
.quad 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD // dA15
.align 16
.quad 0x3F914F4C661116A5, 0x3F914F4C661116A5 // dA14
.align 16
.quad 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C // dA13
.align 16
.quad 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F // dA12
.align 16
.quad 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC // dA11
.align 16
.quad 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B // dA10
.align 16
.quad 0xBFAAD261EAA09954, 0xBFAAD261EAA09954 // dA09
.align 16
.quad 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF // dA08
.align 16
.quad 0xBFB11084009435E0, 0xBFB11084009435E0 // dA07
.align 16
.quad 0x3FB3B12A49295651, 0x3FB3B12A49295651 // dA06
.align 16
.quad 0xBFB745D009BADA94, 0xBFB745D009BADA94 // dA05
.align 16
.quad 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5 // dA04
.align 16
.quad 0xBFC2492491EE55C7, 0xBFC2492491EE55C7 // dA03
.align 16
.quad 0x3FC999999997EE34, 0x3FC999999997EE34 // dA02
.align 16
.quad 0xBFD55555555553C5, 0xBFD55555555553C5 // dA01
.align 16
.quad 0x3FF0000000000000, 0x3FF0000000000000 // dA00
.align 16
.quad 0x8000000000000000, 0x8000000000000000 //dSIGN_MASK
.align 16
.long 0x80300000, 0x80300000, 0x80300000, 0x80300000 //iCHK_WORK_SUB
.align 16
.long 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000 //iCHK_WORK_CMP
.align 16
.quad 0x7fffffffffffffff, 0x7fffffffffffffff //dABS_MASK
.align 16
.quad 0x0000000000000000, 0x0000000000000000 //dZERO
.align 16
.type __svml_datan2_data_internal,@object
.size __svml_datan2_data_internal,.-__svml_datan2_data_internal

20
sysdeps/x86_64/fpu/multiarch/svml_d_atan24_core-sse.S Normal file
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@ -0,0 +1,20 @@
/* SSE version of vectorized atan2.
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/>. */
#define _ZGVdN4vv_atan2 _ZGVdN4vv_atan2_sse_wrapper
#include "../svml_d_atan24_core.S"

28
sysdeps/x86_64/fpu/multiarch/svml_d_atan24_core.c Normal file
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/* Multiple versions of vectorized atan2, vector length is 4.
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/>. */
#define SYMBOL_NAME _ZGVdN4vv_atan2
#include "ifunc-mathvec-avx2.h"
libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
#ifdef SHARED
__hidden_ver1 (_ZGVdN4vv_atan2, __GI__ZGVdN4vv_atan2,
__redirect__ZGVdN4vv_atan2)
__attribute__ ((visibility ("hidden")));
#endif

451
sysdeps/x86_64/fpu/multiarch/svml_d_atan24_core_avx2.S Normal file
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@ -0,0 +1,451 @@
/* Function atan2 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:
* 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_datan2_data_internal
*/
#define dPI 0
#define dPIO2 32
#define dA19 64
#define dA18 96
#define dA17 128
#define dA16 160
#define dA15 192
#define dA14 224
#define dA13 256
#define dA12 288
#define dA11 320
#define dA10 352
#define dA09 384
#define dA08 416
#define dA07 448
#define dA06 480
#define dA05 512
#define dA04 544
#define dA03 576
#define dA02 608
#define dA01 640
#define dA00 672
#define dSIGN_MASK 704
#define iCHK_WORK_SUB 736
#define iCHK_WORK_CMP 768
#define dABS_MASK 800
#define dZERO 832
#include <sysdep.h>
.text
.section .text.avx2,"ax",@progbits
ENTRY(_ZGVdN4vv_atan2_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
xorl %edx, %edx
/*
* #define NO_VECTOR_ZERO_ATAN2_ARGS
* Declarations
* Variables
* Constants
* The end of declarations
* Implementation
* Get r0~=1/B
* Cannot be replaced by VQRCP(D, dR0, dB);
* Argument Absolute values
*/
vmovupd dABS_MASK+__svml_datan2_data_internal(%rip), %ymm5
/* Argument signs */
vmovupd dSIGN_MASK+__svml_datan2_data_internal(%rip), %ymm4
vmovups iCHK_WORK_SUB+__svml_datan2_data_internal(%rip), %xmm13
vmovupd %ymm0, (%rsp)
vmovapd %ymm1, %ymm8
vandpd %ymm5, %ymm8, %ymm2
vandpd %ymm5, %ymm0, %ymm1
vcmpnlt_uqpd %ymm2, %ymm1, %ymm15
/*
* 1) If y<x then a= y, b=x, PIO2=0
* 2) If y>x then a=-x, b=y, PIO2=Pi/2
*/
vorpd %ymm4, %ymm2, %ymm6
vblendvpd %ymm15, %ymm6, %ymm1, %ymm3
vblendvpd %ymm15, %ymm1, %ymm2, %ymm6
vdivpd %ymm6, %ymm3, %ymm14
vmovups iCHK_WORK_CMP+__svml_datan2_data_internal(%rip), %xmm3
vmovupd %ymm6, 32(%rsp)
vandpd %ymm4, %ymm0, %ymm7
vandpd %ymm4, %ymm8, %ymm5
vandpd dPIO2+__svml_datan2_data_internal(%rip), %ymm15, %ymm4
/* Check if y and x are on main path. */
vextractf128 $1, %ymm2, %xmm9
vextractf128 $1, %ymm1, %xmm10
vshufps $221, %xmm9, %xmm2, %xmm11
vshufps $221, %xmm10, %xmm1, %xmm12
vpsubd %xmm13, %xmm11, %xmm0
vpsubd %xmm13, %xmm12, %xmm9
vpcmpgtd %xmm3, %xmm0, %xmm15
vpcmpeqd %xmm3, %xmm0, %xmm6
vpcmpgtd %xmm3, %xmm9, %xmm10
vpcmpeqd %xmm3, %xmm9, %xmm3
vpor %xmm6, %xmm15, %xmm11
vpor %xmm3, %xmm10, %xmm12
/* Polynomial. */
vmulpd %ymm14, %ymm14, %ymm10
vpor %xmm12, %xmm11, %xmm3
vmovupd dA18+__svml_datan2_data_internal(%rip), %ymm9
vmovupd dA17+__svml_datan2_data_internal(%rip), %ymm12
vmovupd dA16+__svml_datan2_data_internal(%rip), %ymm15
vmulpd %ymm10, %ymm10, %ymm11
/* if x<0, dPI = Pi, else dPI =0 */
vcmple_oqpd dZERO+__svml_datan2_data_internal(%rip), %ymm8, %ymm13
vmovmskps %xmm3, %eax
vmulpd %ymm11, %ymm11, %ymm0
vandpd __svml_datan2_data_internal(%rip), %ymm13, %ymm6
vmovupd dA19+__svml_datan2_data_internal(%rip), %ymm13
vfmadd213pd dA14+__svml_datan2_data_internal(%rip), %ymm0, %ymm9
vfmadd213pd dA13+__svml_datan2_data_internal(%rip), %ymm0, %ymm12
vfmadd213pd dA12+__svml_datan2_data_internal(%rip), %ymm0, %ymm15
vfmadd213pd dA15+__svml_datan2_data_internal(%rip), %ymm0, %ymm13
vfmadd213pd dA10+__svml_datan2_data_internal(%rip), %ymm0, %ymm9
vfmadd213pd dA09+__svml_datan2_data_internal(%rip), %ymm0, %ymm12
vfmadd213pd dA08+__svml_datan2_data_internal(%rip), %ymm0, %ymm15
vfmadd213pd dA11+__svml_datan2_data_internal(%rip), %ymm0, %ymm13
vfmadd213pd dA06+__svml_datan2_data_internal(%rip), %ymm0, %ymm9
vfmadd213pd dA05+__svml_datan2_data_internal(%rip), %ymm0, %ymm12
vfmadd213pd dA04+__svml_datan2_data_internal(%rip), %ymm0, %ymm15
vfmadd213pd dA07+__svml_datan2_data_internal(%rip), %ymm0, %ymm13
vfmadd213pd dA02+__svml_datan2_data_internal(%rip), %ymm0, %ymm9
vfmadd213pd dA01+__svml_datan2_data_internal(%rip), %ymm0, %ymm12
vfmadd213pd dA03+__svml_datan2_data_internal(%rip), %ymm0, %ymm13
/* A00=1.0, account for it later VQFMA(D, dP4, dP4, dR8, dA00); */
vmulpd %ymm15, %ymm0, %ymm0
vfmadd213pd %ymm9, %ymm10, %ymm13
vfmadd213pd %ymm0, %ymm10, %ymm12
vfmadd213pd %ymm12, %ymm11, %ymm13
/*
* Reconstruction.
* dP=(R+R*dP) + dPIO2
*/
vfmadd213pd %ymm14, %ymm14, %ymm13
vaddpd %ymm13, %ymm4, %ymm14
vorpd %ymm5, %ymm14, %ymm0
vaddpd %ymm0, %ymm6, %ymm9
vorpd %ymm7, %ymm9, %ymm0
/* Special branch for fast (vector) processing of zero arguments */
testl %eax, %eax
/* Go to auxilary branch */
jne L(AUX_BRANCH)
# LOE rbx r12 r13 r14 r15 edx xmm3 ymm0 ymm1 ymm2 ymm4 ymm5 ymm6 ymm7 ymm8
/* 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 r12 r13 r14 r15 edx ymm0 ymm8
/* 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):
vmovupd (%rsp), %ymm1
vmovupd %ymm8, 64(%rsp)
vmovupd %ymm0, 96(%rsp)
vmovupd %ymm1, 32(%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: -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 $4, %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)
vmovupd 96(%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: -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 ymm0
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movsd 32(%rsp,%r14,8), %xmm0
movsd 64(%rsp,%r14,8), %xmm1
call atan2@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movsd %xmm0, 96(%rsp,%r14,8)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
cfi_restore(12)
cfi_restore(13)
cfi_restore(14)
# LOE rbx r15 r12d r13d
/* Auxilary branch
* for out of main path inputs
*/
L(AUX_BRANCH):
vmovupd (%rsp), %ymm11
/* Check if at least on of Y or Y is zero: iAXAYZERO */
vmovupd dZERO+__svml_datan2_data_internal(%rip), %ymm10
/* Check if both X & Y are not NaNs: iXYnotNAN */
vcmpordpd %ymm8, %ymm8, %ymm12
vcmpordpd %ymm11, %ymm11, %ymm13
vcmpeqpd %ymm10, %ymm2, %ymm2
vcmpeqpd %ymm10, %ymm1, %ymm1
vandpd %ymm13, %ymm12, %ymm14
vorpd %ymm1, %ymm2, %ymm2
vextractf128 $1, %ymm14, %xmm15
vextractf128 $1, %ymm2, %xmm11
vshufps $221, %xmm15, %xmm14, %xmm9
vshufps $221, %xmm11, %xmm2, %xmm12
/*
* Path for zero arguments (at least one of both)
* Check if both args are zeros (den. is zero)
*/
vcmpeqpd 32(%rsp), %ymm10, %ymm2
/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */
vpand %xmm9, %xmm12, %xmm1
/* Exclude from previous callout mask zero (and not NaN) arguments */
vpandn %xmm3, %xmm1, %xmm3
/* Go to callout */
vmovmskps %xmm3, %edx
/* Set sPIO2 to zero if den. is zero */
vblendvpd %ymm2, %ymm10, %ymm4, %ymm4
vorpd %ymm5, %ymm4, %ymm5
/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */
vextractf128 $1, %ymm10, %xmm2
vextractf128 $1, %ymm8, %xmm3
vshufps $221, %xmm2, %xmm10, %xmm4
vshufps $221, %xmm3, %xmm8, %xmm9
vpcmpgtd %xmm9, %xmm4, %xmm12
vpshufd $80, %xmm12, %xmm11
vpshufd $250, %xmm12, %xmm13
vinsertf128 $1, %xmm13, %ymm11, %ymm14
vandpd %ymm6, %ymm14, %ymm6
vaddpd %ymm6, %ymm5, %ymm2
vorpd %ymm7, %ymm2, %ymm2
/* Merge results from main and spec path */
vpshufd $80, %xmm1, %xmm7
vpshufd $250, %xmm1, %xmm1
vinsertf128 $1, %xmm1, %ymm7, %ymm3
vblendvpd %ymm3, %ymm2, %ymm0, %ymm0
/* Return to main vector processing path */
jmp L(AUX_BRANCH_RETURN)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm8
END(_ZGVdN4vv_atan2_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_datan2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(32)) VUINT32 dPI[4][2];
__declspec(align(32)) VUINT32 dPIO2[4][2];
__declspec(align(32)) VUINT32 dA19[4][2];
__declspec(align(32)) VUINT32 dA18[4][2];
__declspec(align(32)) VUINT32 dA17[4][2];
__declspec(align(32)) VUINT32 dA16[4][2];
__declspec(align(32)) VUINT32 dA15[4][2];
__declspec(align(32)) VUINT32 dA14[4][2];
__declspec(align(32)) VUINT32 dA13[4][2];
__declspec(align(32)) VUINT32 dA12[4][2];
__declspec(align(32)) VUINT32 dA11[4][2];
__declspec(align(32)) VUINT32 dA10[4][2];
__declspec(align(32)) VUINT32 dA09[4][2];
__declspec(align(32)) VUINT32 dA08[4][2];
__declspec(align(32)) VUINT32 dA07[4][2];
__declspec(align(32)) VUINT32 dA06[4][2];
__declspec(align(32)) VUINT32 dA05[4][2];
__declspec(align(32)) VUINT32 dA04[4][2];
__declspec(align(32)) VUINT32 dA03[4][2];
__declspec(align(32)) VUINT32 dA02[4][2];
__declspec(align(32)) VUINT32 dA01[4][2];
__declspec(align(32)) VUINT32 dA00[4][2];
__declspec(align(32)) VUINT32 dSIGN_MASK[4][2];
__declspec(align(32)) VUINT32 iCHK_WORK_SUB[8][1];
__declspec(align(32)) VUINT32 iCHK_WORK_CMP[8][1];
__declspec(align(32)) VUINT32 dABS_MASK[4][2];
__declspec(align(32)) VUINT32 dZERO[4][2];
} __svml_datan2_data_internal;
#endif
__svml_datan2_data_internal:
.quad 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18 //dPI
.align 32
.quad 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18 //dPIO2
.align 32
.quad 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3 // dA19
.align 32
.quad 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209 // dA18
.align 32
.quad 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23 // dA17
.align 32
.quad 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3 // dA16
.align 32
.quad 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD // dA15
.align 32
.quad 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5 // dA14
.align 32
.quad 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C // dA13
.align 32
.quad 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F // dA12
.align 32
.quad 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC // dA11
.align 32
.quad 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B // dA10
.align 32
.quad 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954 // dA09
.align 32
.quad 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF // dA08
.align 32
.quad 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0 // dA07
.align 32
.quad 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651 // dA06
.align 32
.quad 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94 // dA05
.align 32
.quad 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5 // dA04
.align 32
.quad 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7 // dA03
.align 32
.quad 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34 // dA02
.align 32
.quad 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5 // dA01
.align 32
.quad 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000 // dA00
.align 32
.quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 //dSIGN_MASK
.align 32
.long 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000 //iCHK_WORK_SUB
.align 32
.long 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000 //iCHK_WORK_CMP
.align 32
.quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff //dABS_MASK
.align 32
.quad 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 //dZERO
.align 32
.type __svml_datan2_data_internal,@object
.size __svml_datan2_data_internal,.-__svml_datan2_data_internal

20
sysdeps/x86_64/fpu/multiarch/svml_d_atan28_core-avx2.S Normal file
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@ -0,0 +1,20 @@
/* AVX2 version of vectorized atan2.
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/>. */
#define _ZGVeN8vv_atan2 _ZGVeN8vv_atan2_avx2_wrapper
#include "../svml_d_atan28_core.S"

28
sysdeps/x86_64/fpu/multiarch/svml_d_atan28_core.c Normal file
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/* Multiple versions of vectorized atan2, vector length is 8.
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/>. */
#define SYMBOL_NAME _ZGVeN8vv_atan2
#include "ifunc-mathvec-avx512-skx.h"
libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
#ifdef SHARED
__hidden_ver1 (_ZGVeN8vv_atan2, __GI__ZGVeN8vv_atan2,
__redirect__ZGVeN8vv_atan2)
__attribute__ ((visibility ("hidden")));
#endif

475
sysdeps/x86_64/fpu/multiarch/svml_d_atan28_core_avx512.S Normal file
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@ -0,0 +1,475 @@
/* Function atan2 vectorized with AVX-512.
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_datan2_data_internal
*/
#define dPI 0
#define dPIO2 64
#define dA19 128
#define dA18 192
#define dA17 256
#define dA16 320
#define dA15 384
#define dA14 448
#define dA13 512
#define dA12 576
#define dA11 640
#define dA10 704
#define dA09 768
#define dA08 832
#define dA07 896
#define dA06 960
#define dA05 1024
#define dA04 1088
#define dA03 1152
#define dA02 1216
#define dA01 1280
#define dA00 1344
#define dSIGN_MASK 1408
#define iCHK_WORK_SUB 1472
#define iCHK_WORK_CMP 1536
#define dABS_MASK 1600
#define dZERO 1664
#include <sysdep.h>
.text
.section .text.evex512,"ax",@progbits
ENTRY(_ZGVeN8vv_atan2_skx)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-64, %rsp
subq $256, %rsp
xorl %edx, %edx
/*
* #define NO_VECTOR_ZERO_ATAN2_ARGS
* Declarations
* Variables
* Constants
* The end of declarations
* Implementation
* Get r0~=1/B
* Cannot be replaced by VQRCP(D, dR0, dB);
* Argument Absolute values
*/
vmovups dABS_MASK+__svml_datan2_data_internal(%rip), %zmm4
/* Argument signs */
vmovups dSIGN_MASK+__svml_datan2_data_internal(%rip), %zmm6
/*
* 1) If y<x then a= y, b=x, PIO2=0
* 2) If y>x then a=-x, b=y, PIO2=Pi/2
*/
vmovups dPIO2+__svml_datan2_data_internal(%rip), %zmm3
vandpd %zmm4, %zmm0, %zmm11
vmovaps %zmm1, %zmm7
vandpd %zmm4, %zmm7, %zmm2
vandpd %zmm6, %zmm7, %zmm5
vandpd %zmm6, %zmm0, %zmm4
vorpd %zmm6, %zmm2, %zmm12
vcmppd $17, {sae}, %zmm2, %zmm11, %k1
vmovdqu iCHK_WORK_CMP+__svml_datan2_data_internal(%rip), %ymm6
vmovups %zmm11, 64(%rsp)
/* Check if y and x are on main path. */
vpsrlq $32, %zmm2, %zmm9
vblendmpd %zmm11, %zmm12, %zmm13{%k1}
vblendmpd %zmm2, %zmm11, %zmm15{%k1}
vpsrlq $32, %zmm11, %zmm8
vmovdqu iCHK_WORK_SUB+__svml_datan2_data_internal(%rip), %ymm12
vdivpd {rn-sae}, %zmm15, %zmm13, %zmm1
vmovups %zmm15, (%rsp)
vpmovqd %zmm9, %ymm14
vpmovqd %zmm8, %ymm10
vxorpd %zmm3, %zmm3, %zmm3{%k1}
vpsubd %ymm12, %ymm14, %ymm13
vpsubd %ymm12, %ymm10, %ymm9
/* Polynomial. */
vmulpd {rn-sae}, %zmm1, %zmm1, %zmm12
vpcmpgtd %ymm6, %ymm13, %ymm15
vpcmpeqd %ymm6, %ymm13, %ymm11
vmulpd {rn-sae}, %zmm12, %zmm12, %zmm13
vpor %ymm11, %ymm15, %ymm8
vmovups dA19+__svml_datan2_data_internal(%rip), %zmm11
vmovups dA15+__svml_datan2_data_internal(%rip), %zmm15
vpcmpgtd %ymm6, %ymm9, %ymm14
vpcmpeqd %ymm6, %ymm9, %ymm6
vpor %ymm6, %ymm14, %ymm10
vmulpd {rn-sae}, %zmm13, %zmm13, %zmm14
vmovups dA18+__svml_datan2_data_internal(%rip), %zmm9
vpor %ymm10, %ymm8, %ymm6
vmovups dA17+__svml_datan2_data_internal(%rip), %zmm10
vfmadd231pd {rn-sae}, %zmm14, %zmm11, %zmm15
vmovups dA14+__svml_datan2_data_internal(%rip), %zmm11
vmovups dA12+__svml_datan2_data_internal(%rip), %zmm8
vfmadd231pd {rn-sae}, %zmm14, %zmm9, %zmm11
vmovups dA13+__svml_datan2_data_internal(%rip), %zmm9
vfmadd231pd {rn-sae}, %zmm14, %zmm10, %zmm9
vmovups dA16+__svml_datan2_data_internal(%rip), %zmm10
vfmadd231pd {rn-sae}, %zmm14, %zmm10, %zmm8
vmovups dA11+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm15
vmovups dA10+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm11
vmovups dA09+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm9
vmovups dA08+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm8
vmovups dA07+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm15
vmovups dA06+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm11
vmovups dA05+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm9
vmovups dA04+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm8
vmovups dA03+__svml_datan2_data_internal(%rip), %zmm10
/* A00=1.0, account for it later VQFMA(D, dP4, dP4, dR8, dA00); */
vmulpd {rn-sae}, %zmm14, %zmm8, %zmm8
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm15
vmovups dA02+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm11
vmovups dA01+__svml_datan2_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm11, %zmm12, %zmm15
vfmadd213pd {rn-sae}, %zmm10, %zmm14, %zmm9
vfmadd213pd {rn-sae}, %zmm8, %zmm12, %zmm9
vmovups __svml_datan2_data_internal(%rip), %zmm8
vfmadd213pd {rn-sae}, %zmm9, %zmm13, %zmm15
/*
* Reconstruction.
* dP=(R+R*dP) + dPIO2
*/
vfmadd213pd {rn-sae}, %zmm1, %zmm1, %zmm15
vaddpd {rn-sae}, %zmm3, %zmm15, %zmm1
vorpd %zmm5, %zmm1, %zmm9
/* if x<0, dPI = Pi, else dPI =0 */
vmovups dZERO+__svml_datan2_data_internal(%rip), %zmm1
vcmppd $18, {sae}, %zmm1, %zmm7, %k2
vaddpd {rn-sae}, %zmm8, %zmm9, %zmm9{%k2}
vmovmskps %ymm6, %eax
vorpd %zmm4, %zmm9, %zmm11
/* Special branch for fast (vector) processing of zero arguments */
vmovups 64(%rsp), %zmm9
testl %eax, %eax
/* Go to auxilary branch */
jne L(AUX_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm6 zmm0 zmm2 zmm3 zmm4 zmm5 zmm7 zmm9 zmm11
/* 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 r12 r13 r14 r15 edx zmm0 zmm7 zmm11
/* Restore registers
* and exit the function
*/
L(EXIT):
vmovaps %zmm11, %zmm0
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 %zmm0, 64(%rsp)
vmovups %zmm7, 128(%rsp)
vmovups %zmm11, 192(%rsp)
# LOE rbx r12 r13 r14 r15 edx zmm11
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: -64; DW_OP_and; DW_OP_const4s: -240; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x10, 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: -64; DW_OP_and; DW_OP_const4s: -248; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x08, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -256; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x00, 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 192(%rsp), %zmm11
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -240; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x10, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -248; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x08, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -256; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x00, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 zmm11
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movsd 64(%rsp,%r14,8), %xmm0
movsd 128(%rsp,%r14,8), %xmm1
call atan2@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movsd %xmm0, 192(%rsp,%r14,8)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
cfi_restore(12)
cfi_restore(13)
cfi_restore(14)
# LOE rbx r15 r12d r13d
/* Auxilary branch
* for out of main path inputs
*/
L(AUX_BRANCH):
/* Check if at least on of Y or Y is zero: iAXAYZERO */
vmovups dZERO+__svml_datan2_data_internal(%rip), %zmm8
/* Check if both X & Y are not NaNs: iXYnotNAN */
vcmppd $3, {sae}, %zmm7, %zmm7, %k1
vcmppd $3, {sae}, %zmm0, %zmm0, %k2
vcmppd $4, {sae}, %zmm8, %zmm2, %k3
vcmppd $4, {sae}, %zmm8, %zmm9, %k4
/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */
vpcmpgtq %zmm7, %zmm8, %k6
vpternlogd $0xff, %zmm1, %zmm1, %zmm10
vmovaps %zmm10, %zmm15
vmovaps %zmm10, %zmm12
vmovaps %zmm10, %zmm13
vpandnq %zmm2, %zmm2, %zmm15{%k3}
vmovaps %zmm10, %zmm2
vpandnq %zmm7, %zmm7, %zmm12{%k1}
vpandnq %zmm0, %zmm0, %zmm13{%k2}
vpandnq %zmm9, %zmm9, %zmm2{%k4}
vandpd %zmm13, %zmm12, %zmm14
vorpd %zmm2, %zmm15, %zmm9
vpsrlq $32, %zmm14, %zmm1
vpsrlq $32, %zmm9, %zmm2
vpmovqd %zmm1, %ymm1
vpmovqd %zmm2, %ymm9
/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */
vpand %ymm1, %ymm9, %ymm2
/*
* Path for zero arguments (at least one of both)
* Check if both args are zeros (den. is zero)
*/
vmovups (%rsp), %zmm1
/* Exclude from previous callout mask zero (and not NaN) arguments */
vpandn %ymm6, %ymm2, %ymm6
vcmppd $4, {sae}, %zmm8, %zmm1, %k5
/* Go to callout */
vmovmskps %ymm6, %edx
vpandnq %zmm1, %zmm1, %zmm10{%k5}
/* Set sPIO2 to zero if den. is zero */
vpandnq %zmm3, %zmm10, %zmm3
vpandq %zmm10, %zmm8, %zmm1
vporq %zmm1, %zmm3, %zmm3
vorpd %zmm5, %zmm3, %zmm1
vmovups __svml_datan2_data_internal(%rip), %zmm5
vaddpd {rn-sae}, %zmm5, %zmm1, %zmm1{%k6}
vorpd %zmm4, %zmm1, %zmm1
/* Merge results from main and spec path */
vpmovzxdq %ymm2, %zmm4
vpsllq $32, %zmm4, %zmm2
vpord %zmm2, %zmm4, %zmm3
vpandnq %zmm11, %zmm3, %zmm11
vpandq %zmm3, %zmm1, %zmm1
vporq %zmm1, %zmm11, %zmm11
/* Return to main vector processing path */
jmp L(AUX_BRANCH_RETURN)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm7 zmm11
END(_ZGVeN8vv_atan2_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_datan2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 dPI[8][2];
__declspec(align(64)) VUINT32 dPIO2[8][2];
__declspec(align(64)) VUINT32 dA19[8][2];
__declspec(align(64)) VUINT32 dA18[8][2];
__declspec(align(64)) VUINT32 dA17[8][2];
__declspec(align(64)) VUINT32 dA16[8][2];
__declspec(align(64)) VUINT32 dA15[8][2];
__declspec(align(64)) VUINT32 dA14[8][2];
__declspec(align(64)) VUINT32 dA13[8][2];
__declspec(align(64)) VUINT32 dA12[8][2];
__declspec(align(64)) VUINT32 dA11[8][2];
__declspec(align(64)) VUINT32 dA10[8][2];
__declspec(align(64)) VUINT32 dA09[8][2];
__declspec(align(64)) VUINT32 dA08[8][2];
__declspec(align(64)) VUINT32 dA07[8][2];
__declspec(align(64)) VUINT32 dA06[8][2];
__declspec(align(64)) VUINT32 dA05[8][2];
__declspec(align(64)) VUINT32 dA04[8][2];
__declspec(align(64)) VUINT32 dA03[8][2];
__declspec(align(64)) VUINT32 dA02[8][2];
__declspec(align(64)) VUINT32 dA01[8][2];
__declspec(align(64)) VUINT32 dA00[8][2];
__declspec(align(64)) VUINT32 dSIGN_MASK[8][2];
__declspec(align(64)) VUINT32 iCHK_WORK_SUB[16][1];
__declspec(align(64)) VUINT32 iCHK_WORK_CMP[16][1];
__declspec(align(64)) VUINT32 dABS_MASK[8][2];
__declspec(align(64)) VUINT32 dZERO[8][2];
} __svml_datan2_data_internal;
#endif
__svml_datan2_data_internal:
.quad 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18, 0x400921FB54442D18 //dPI
.align 64
.quad 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18, 0x3FF921FB54442D18 //dPIO2
.align 64
.quad 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3, 0xBEF4FDB537ABC7A3 // dA19
.align 64
.quad 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209, 0x3F2CED0A36665209 // dA18
.align 64
.quad 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23, 0xBF52E67C93954C23 // dA17
.align 64
.quad 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3, 0x3F6F5A1DAE82AFB3 // dA16
.align 64
.quad 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD, 0xBF82B2EC618E4BAD // dA15
.align 64
.quad 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5, 0x3F914F4C661116A5 // dA14
.align 64
.quad 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C, 0xBF9A5E83B081F69C // dA13
.align 64
.quad 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F, 0x3FA169980CB6AD4F // dA12
.align 64
.quad 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC, 0xBFA4EFA2E563C1BC // dA11
.align 64
.quad 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B, 0x3FA7EC0FBC50683B // dA10
.align 64
.quad 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954, 0xBFAAD261EAA09954 // dA09
.align 64
.quad 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF, 0x3FAE1749BD612DCF // dA08
.align 64
.quad 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0, 0xBFB11084009435E0 // dA07
.align 64
.quad 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651, 0x3FB3B12A49295651 // dA06
.align 64
.quad 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94, 0xBFB745D009BADA94 // dA05
.align 64
.quad 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5, 0x3FBC71C707F7D5B5 // dA04
.align 64
.quad 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7, 0xBFC2492491EE55C7 // dA03
.align 64
.quad 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34, 0x3FC999999997EE34 // dA02
.align 64
.quad 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5, 0xBFD55555555553C5 // dA01
.align 64
.quad 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000, 0x3FF0000000000000 // dA00
.align 64
.quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 //dSIGN_MASK
.align 64
.long 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000, 0x80300000 //iCHK_WORK_SUB
.align 64
.long 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000, 0xfdd00000 //iCHK_WORK_CMP
.align 64
.quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff //dABS_MASK
.align 64
.quad 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 //dZERO
.align 64
.type __svml_datan2_data_internal,@object
.size __svml_datan2_data_internal,.-__svml_datan2_data_internal

20
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f16_core-avx2.S Normal file
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@ -0,0 +1,20 @@
/* AVX2 version of vectorized atan2f.
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/>. */
#define _ZGVeN16vv_atan2f _ZGVeN16vv_atan2f_avx2_wrapper
#include "../svml_s_atan2f16_core.S"

28
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f16_core.c Normal file
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@ -0,0 +1,28 @@
/* Multiple versions of vectorized atan2f, vector length is 16.
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/>. */
#define SYMBOL_NAME _ZGVeN16vv_atan2f
#include "ifunc-mathvec-avx512-skx.h"
libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
#ifdef SHARED
__hidden_ver1 (_ZGVeN16vv_atan2f, __GI__ZGVeN16vv_atan2f,
__redirect__ZGVeN16vv_atan2f)
__attribute__ ((visibility ("hidden")));
#endif

399
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f16_core_avx512.S Normal file
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@ -0,0 +1,399 @@
/* Function atan2f vectorized with AVX-512.
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 sONE 64
#define sSIGN_MASK 128
#define sABS_MASK 192
#define sPIO2 256
#define sPI 320
#define sPC8 384
#define sPC7 448
#define sPC6 512
#define sPC5 576
#define sPC4 640
#define sPC3 704
#define sPC2 768
#define sPC1 832
#define sPC0 896
#define iCHK_WORK_SUB 960
#define iCHK_WORK_CMP 1024
#include <sysdep.h>
.text
.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16vv_atan2f_skx)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-64, %rsp
subq $256, %rsp
xorl %edx, %edx
/*
* #define NO_VECTOR_ZERO_ATAN2_ARGS
* Declarations
* Variables
* Constants
* The end of declarations
* Implementation
* Arguments signs
*/
vmovups sABS_MASK+__svml_satan2_data_internal(%rip), %zmm6
vmovups sONE+__svml_satan2_data_internal(%rip), %zmm3
/* Testing on working interval. */
vmovups iCHK_WORK_SUB+__svml_satan2_data_internal(%rip), %zmm9
vmovups iCHK_WORK_CMP+__svml_satan2_data_internal(%rip), %zmm14
/*
* 1) If y<x then a= y, b=x, PIO2=0
* 2) If y>x then a=-x, b=y, PIO2=Pi/2
*/
vmovups sPIO2+__svml_satan2_data_internal(%rip), %zmm4
vpternlogd $255, %zmm13, %zmm13, %zmm13
vmovaps %zmm1, %zmm8
vandps %zmm6, %zmm8, %zmm2
vandps %zmm6, %zmm0, %zmm1
vorps sSIGN_MASK+__svml_satan2_data_internal(%rip), %zmm2, %zmm5
vpsubd %zmm9, %zmm2, %zmm10
vpsubd %zmm9, %zmm1, %zmm12
vxorps %zmm2, %zmm8, %zmm7
vxorps %zmm1, %zmm0, %zmm6
vcmpps $17, {sae}, %zmm2, %zmm1, %k1
vpcmpgtd %zmm10, %zmm14, %k2
vpcmpgtd %zmm12, %zmm14, %k3
vmovups sPC6+__svml_satan2_data_internal(%rip), %zmm14
vblendmps %zmm1, %zmm5, %zmm11{%k1}
vblendmps %zmm2, %zmm1, %zmm5{%k1}
vxorps %zmm4, %zmm4, %zmm4{%k1}
/*
* Division a/b.
* Enabled when FMA is available and
* performance is better with NR iteration
*/
vrcp14ps %zmm5, %zmm15
vfnmadd231ps {rn-sae}, %zmm5, %zmm15, %zmm3
vfmadd213ps {rn-sae}, %zmm15, %zmm3, %zmm15
vmulps {rn-sae}, %zmm15, %zmm11, %zmm3
vfnmadd231ps {rn-sae}, %zmm5, %zmm3, %zmm11
vfmadd213ps {rn-sae}, %zmm3, %zmm11, %zmm15
vmovups sPC8+__svml_satan2_data_internal(%rip), %zmm11
vpternlogd $255, %zmm3, %zmm3, %zmm3
/* Polynomial. */
vmulps {rn-sae}, %zmm15, %zmm15, %zmm9
vpandnd %zmm10, %zmm10, %zmm13{%k2}
vmulps {rn-sae}, %zmm9, %zmm9, %zmm10
vfmadd231ps {rn-sae}, %zmm10, %zmm11, %zmm14
vmovups sPC5+__svml_satan2_data_internal(%rip), %zmm11
vpandnd %zmm12, %zmm12, %zmm3{%k3}
vpord %zmm3, %zmm13, %zmm3
vmovups sPC4+__svml_satan2_data_internal(%rip), %zmm13
vmovups sPC7+__svml_satan2_data_internal(%rip), %zmm12
vptestmd %zmm3, %zmm3, %k0
vfmadd213ps {rn-sae}, %zmm13, %zmm10, %zmm14
vfmadd231ps {rn-sae}, %zmm10, %zmm12, %zmm11
vmovups sPC3+__svml_satan2_data_internal(%rip), %zmm12
vmovups sPC2+__svml_satan2_data_internal(%rip), %zmm13
/* Special branch for fast (vector) processing of zero arguments */
kortestw %k0, %k0
vfmadd213ps {rn-sae}, %zmm12, %zmm10, %zmm11
vmovups sPC1+__svml_satan2_data_internal(%rip), %zmm12
vfmadd213ps {rn-sae}, %zmm13, %zmm10, %zmm14
vmovups sPC0+__svml_satan2_data_internal(%rip), %zmm13
vfmadd213ps {rn-sae}, %zmm12, %zmm10, %zmm11
vfmadd213ps {rn-sae}, %zmm13, %zmm10, %zmm14
vfmadd213ps {rn-sae}, %zmm14, %zmm9, %zmm11
/* Reconstruction. */
vfmadd213ps {rn-sae}, %zmm4, %zmm15, %zmm11
/* if x<0, sPI = Pi, else sPI =0 */
vmovups __svml_satan2_data_internal(%rip), %zmm15
vorps %zmm7, %zmm11, %zmm9
vcmpps $18, {sae}, %zmm15, %zmm8, %k4
vmovups sPI+__svml_satan2_data_internal(%rip), %zmm11
vaddps {rn-sae}, %zmm11, %zmm9, %zmm9{%k4}
vorps %zmm6, %zmm9, %zmm10
/* Go to auxilary branch */
jne L(AUX_BRANCH)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm1 zmm2 zmm3 zmm4 zmm5 zmm6 zmm7 zmm8 zmm10 zmm11
/* 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 r12 r13 r14 r15 edx zmm0 zmm8 zmm10
/* Restore registers
* and exit the function
*/
L(EXIT):
vmovaps %zmm10, %zmm0
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 %zmm0, 64(%rsp)
vmovups %zmm8, 128(%rsp)
vmovups %zmm10, 192(%rsp)
# LOE rbx r12 r13 r14 r15 edx zmm10
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: -64; DW_OP_and; DW_OP_const4s: -240; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x10, 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: -64; DW_OP_and; DW_OP_const4s: -248; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x08, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -256; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x00, 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 $16, %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 192(%rsp), %zmm10
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -240; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x10, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -248; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x08, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -256; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x00, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 zmm10
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 64(%rsp,%r14,4), %xmm0
movss 128(%rsp,%r14,4), %xmm1
call atan2f@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 192(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
cfi_restore(12)
cfi_restore(13)
cfi_restore(14)
# LOE rbx r15 r12d r13d
/* Auxilary branch
* for out of main path inputs
*/
L(AUX_BRANCH):
/* Check if at least on of Y or Y is zero: iAXAYZERO */
vmovups __svml_satan2_data_internal(%rip), %zmm9
/* Check if both X & Y are not NaNs: iXYnotNAN */
vcmpps $3, {sae}, %zmm8, %zmm8, %k1
vcmpps $3, {sae}, %zmm0, %zmm0, %k2
vpcmpd $4, %zmm9, %zmm2, %k3
vpcmpd $4, %zmm9, %zmm1, %k4
/*
* Path for zero arguments (at least one of both)
* Check if both args are zeros (den. is zero)
*/
vcmpps $4, {sae}, %zmm9, %zmm5, %k5
/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */
vpcmpgtd %zmm8, %zmm9, %k6
vpternlogd $255, %zmm14, %zmm14, %zmm14
vpternlogd $255, %zmm12, %zmm12, %zmm12
vpternlogd $255, %zmm13, %zmm13, %zmm13
vpandnd %zmm2, %zmm2, %zmm14{%k3}
vpternlogd $255, %zmm2, %zmm2, %zmm2
vpandnd %zmm1, %zmm1, %zmm2{%k4}
vpord %zmm2, %zmm14, %zmm15
vpternlogd $255, %zmm2, %zmm2, %zmm2
vpandnd %zmm5, %zmm5, %zmm2{%k5}
/* Set sPIO2 to zero if den. is zero */
vpandnd %zmm4, %zmm2, %zmm4
vpandd %zmm2, %zmm9, %zmm5
vpord %zmm5, %zmm4, %zmm2
vorps %zmm7, %zmm2, %zmm7
vaddps {rn-sae}, %zmm11, %zmm7, %zmm7{%k6}
vorps %zmm6, %zmm7, %zmm6
vpandnd %zmm8, %zmm8, %zmm12{%k1}
vpandnd %zmm0, %zmm0, %zmm13{%k2}
vandps %zmm13, %zmm12, %zmm12
/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */
vpandd %zmm12, %zmm15, %zmm1
/* Exclude from previous callout mask zero (and not NaN) arguments */
vpandnd %zmm3, %zmm1, %zmm3
/* Go to callout */
vptestmd %zmm3, %zmm3, %k0
kmovw %k0, %edx
/* Merge results from main and spec path */
vpandnd %zmm10, %zmm1, %zmm10
vpandd %zmm1, %zmm6, %zmm11
vpord %zmm11, %zmm10, %zmm10
/* Return to main vector processing path */
jmp L(AUX_BRANCH_RETURN)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm8 zmm10
END(_ZGVeN16vv_atan2f_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_satan2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 sZERO[16][1];
__declspec(align(64)) VUINT32 sONE[16][1];
__declspec(align(64)) VUINT32 sSIGN_MASK[16][1];
__declspec(align(64)) VUINT32 sABS_MASK[16][1];
__declspec(align(64)) VUINT32 sPIO2[16][1];
__declspec(align(64)) VUINT32 sPI[16][1];
__declspec(align(64)) VUINT32 sPC8[16][1];
__declspec(align(64)) VUINT32 sPC7[16][1];
__declspec(align(64)) VUINT32 sPC6[16][1];
__declspec(align(64)) VUINT32 sPC5[16][1];
__declspec(align(64)) VUINT32 sPC4[16][1];
__declspec(align(64)) VUINT32 sPC3[16][1];
__declspec(align(64)) VUINT32 sPC2[16][1];
__declspec(align(64)) VUINT32 sPC1[16][1];
__declspec(align(64)) VUINT32 sPC0[16][1];
__declspec(align(64)) VUINT32 iCHK_WORK_SUB[16][1];
__declspec(align(64)) VUINT32 iCHK_WORK_CMP[16][1];
} __svml_satan2_data_internal;
#endif
__svml_satan2_data_internal:
.long 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 // sZERO
.align 64
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 // sONE
.align 64
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 // sSIGN_MASK
.align 64
.long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF // sABS_MASK
.align 64
.long 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB // sPIO2
.align 64
.long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB // sPI
.align 64
.long 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0 // sA08
.align 64
.long 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631 // sA07
.align 64
.long 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384 // sA06
.align 64
.long 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629 // sA05
.align 64
.long 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474 // sA04
.align 64
.long 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8 // sA03
.align 64
.long 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F // sA02
.align 64
.long 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49 // sA01
.align 64
.long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 // sA00
.align 64
.long 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000 //iCHK_WORK_SUB
.align 64
.long 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000 //iCHK_WORK_CMP
.align 64
.type __svml_satan2_data_internal,@object
.size __svml_satan2_data_internal,.-__svml_satan2_data_internal

20
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f4_core-sse2.S Normal file
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/* SSE2 version of vectorized atan2f.
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/>. */
#define _ZGVbN4vv_atan2f _ZGVbN4vv_atan2f_sse2
#include "../svml_s_atan2f4_core.S"

28
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f4_core.c Normal file
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/* Multiple versions of vectorized atan2f, vector length is 4.
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/>. */
#define SYMBOL_NAME _ZGVbN4vv_atan2f
#include "ifunc-mathvec-sse4_1.h"
libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
#ifdef SHARED
__hidden_ver1 (_ZGVbN4vv_atan2f, __GI__ZGVbN4vv_atan2f,
__redirect__ZGVbN4vv_atan2f)
__attribute__ ((visibility ("hidden")));
#endif

384
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f4_core_sse4.S Normal file
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@ -0,0 +1,384 @@
/* 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

20
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core-sse.S Normal file
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/* SSE version of vectorized atan2f.
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/>. */
#define _ZGVdN8vv_atan2f _ZGVdN8vv_atan2f_sse_wrapper
#include "../svml_s_atan2f8_core.S"

28
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core.c Normal file
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/* Multiple versions of vectorized sinf, vector length is 8.
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/>. */
#define SYMBOL_NAME _ZGVdN8vv_atan2f
#include "ifunc-mathvec-avx2.h"
libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
#ifdef SHARED
__hidden_ver1 (_ZGVdN8vv_atan2f, __GI__ZGVdN8vv_atan2f,
__redirect__ZGVdN8vv_atan2f)
__attribute__ ((visibility ("hidden")));
#endif

362
sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core_avx2.S Normal file
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/* Function atan2f 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:
* 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 32
#define sABS_MASK 64
#define sPIO2 96
#define sPI 128
#define sPC8 160
#define sPC7 192
#define sPC6 224
#define sPC5 256
#define sPC4 288
#define sPC3 320
#define sPC2 352
#define sPC1 384
#define sPC0 416
#define iCHK_WORK_SUB 448
#define iCHK_WORK_CMP 480
#include <sysdep.h>
.text
.section .text.avx2,"ax",@progbits
ENTRY(_ZGVdN8vv_atan2f_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
xorl %edx, %edx
/*
* #define NO_VECTOR_ZERO_ATAN2_ARGS
* Declarations
* Variables
* Constants
* The end of declarations
* Implementation
* Arguments signs
*/
vmovups sABS_MASK+__svml_satan2_data_internal(%rip), %ymm2
/* Testing on working interval. */
vmovups iCHK_WORK_SUB+__svml_satan2_data_internal(%rip), %ymm15
vmovups iCHK_WORK_CMP+__svml_satan2_data_internal(%rip), %ymm9
/* if x<0, sPI = Pi, else sPI =0 */
vmovups __svml_satan2_data_internal(%rip), %ymm5
vmovaps %ymm1, %ymm7
vandps %ymm2, %ymm7, %ymm13
vandps %ymm2, %ymm0, %ymm12
vcmplt_oqps %ymm13, %ymm12, %ymm4
vcmple_oqps %ymm5, %ymm7, %ymm6
vpsubd %ymm15, %ymm13, %ymm10
vpsubd %ymm15, %ymm12, %ymm8
/*
* 1) If y<x then a= y, b=x, PIO2=0
* 2) If y>x then a=-x, b=y, PIO2=Pi/2
*/
vorps sSIGN_MASK+__svml_satan2_data_internal(%rip), %ymm13, %ymm3
vblendvps %ymm4, %ymm12, %ymm3, %ymm14
vblendvps %ymm4, %ymm13, %ymm12, %ymm3
/* Division a/b. */
vdivps %ymm3, %ymm14, %ymm11
vpcmpgtd %ymm9, %ymm10, %ymm14
vpcmpeqd %ymm9, %ymm10, %ymm15
vpor %ymm15, %ymm14, %ymm10
vmovups sPC7+__svml_satan2_data_internal(%rip), %ymm15
vpcmpgtd %ymm9, %ymm8, %ymm14
vpcmpeqd %ymm9, %ymm8, %ymm8
vpor %ymm8, %ymm14, %ymm9
vmovups sPC8+__svml_satan2_data_internal(%rip), %ymm14
vpor %ymm9, %ymm10, %ymm10
/* Polynomial. */
vmulps %ymm11, %ymm11, %ymm9
vmulps %ymm9, %ymm9, %ymm8
vfmadd213ps sPC6+__svml_satan2_data_internal(%rip), %ymm8, %ymm14
vfmadd213ps sPC5+__svml_satan2_data_internal(%rip), %ymm8, %ymm15
vfmadd213ps sPC4+__svml_satan2_data_internal(%rip), %ymm8, %ymm14
vfmadd213ps sPC3+__svml_satan2_data_internal(%rip), %ymm8, %ymm15
vfmadd213ps sPC2+__svml_satan2_data_internal(%rip), %ymm8, %ymm14
vfmadd213ps sPC1+__svml_satan2_data_internal(%rip), %ymm8, %ymm15
vfmadd213ps sPC0+__svml_satan2_data_internal(%rip), %ymm8, %ymm14
vfmadd213ps %ymm14, %ymm9, %ymm15
vandnps sPIO2+__svml_satan2_data_internal(%rip), %ymm4, %ymm4
/* Reconstruction. */
vfmadd213ps %ymm4, %ymm11, %ymm15
vxorps %ymm13, %ymm7, %ymm1
vandps sPI+__svml_satan2_data_internal(%rip), %ymm6, %ymm6
vorps %ymm1, %ymm15, %ymm11
vaddps %ymm11, %ymm6, %ymm8
vmovmskps %ymm10, %eax
vxorps %ymm12, %ymm0, %ymm2
vorps %ymm2, %ymm8, %ymm9
/* Special branch for fast (vector) processing of zero arguments */
testl %eax, %eax
/* Go to auxilary branch */
jne L(AUX_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm1 ymm2 ymm3 ymm4 ymm5 ymm6 ymm7 ymm9 ymm10 ymm12 ymm13
/* 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 r12 r13 r14 r15 edx ymm0 ymm7 ymm9
/* Restore registers
* and exit the function
*/
L(EXIT):
vmovaps %ymm9, %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 %ymm7, 64(%rsp)
vmovups %ymm9, 96(%rsp)
# LOE rbx r12 r13 r14 r15 edx ymm9
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), %ymm9
/* 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 ymm9
/* 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 atan2f@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 96(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
cfi_restore(12)
cfi_restore(13)
cfi_restore(14)
# LOE rbx r15 r12d r13d
/* Auxilary branch
* for out of main path inputs
*/
L(AUX_BRANCH):
/* Check if at least on of Y or Y is zero: iAXAYZERO */
vpcmpeqd %ymm5, %ymm13, %ymm13
vpcmpeqd %ymm5, %ymm12, %ymm12
/* Check if both X & Y are not NaNs: iXYnotNAN */
vcmpordps %ymm7, %ymm7, %ymm11
vcmpordps %ymm0, %ymm0, %ymm14
/*
* Path for zero arguments (at least one of both)
* Check if both args are zeros (den. is zero)
*/
vcmpeqps %ymm5, %ymm3, %ymm3
vpor %ymm12, %ymm13, %ymm15
/* Set sPIO2 to zero if den. is zero */
vblendvps %ymm3, %ymm5, %ymm4, %ymm4
vandps %ymm14, %ymm11, %ymm8
/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */
vpand %ymm8, %ymm15, %ymm8
/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */
vpcmpgtd %ymm7, %ymm5, %ymm5
vorps %ymm1, %ymm4, %ymm1
vandps %ymm6, %ymm5, %ymm6
vaddps %ymm6, %ymm1, %ymm1
/* Exclude from previous callout mask zero (and not NaN) arguments */
vpandn %ymm10, %ymm8, %ymm10
vorps %ymm2, %ymm1, %ymm2
/* Go to callout */
vmovmskps %ymm10, %edx
/* Merge results from main and spec path */
vblendvps %ymm8, %ymm2, %ymm9, %ymm9
/* Return to main vector processing path */
jmp L(AUX_BRANCH_RETURN)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm7 ymm9
END(_ZGVdN8vv_atan2f_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_satan2_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(32)) VUINT32 sZERO[8][1];
__declspec(align(32)) VUINT32 sSIGN_MASK[8][1];
__declspec(align(32)) VUINT32 sABS_MASK[8][1];
__declspec(align(32)) VUINT32 sPIO2[8][1];
__declspec(align(32)) VUINT32 sPI[8][1];
__declspec(align(32)) VUINT32 sPC8[8][1];
__declspec(align(32)) VUINT32 sPC7[8][1];
__declspec(align(32)) VUINT32 sPC6[8][1];
__declspec(align(32)) VUINT32 sPC5[8][1];
__declspec(align(32)) VUINT32 sPC4[8][1];
__declspec(align(32)) VUINT32 sPC3[8][1];
__declspec(align(32)) VUINT32 sPC2[8][1];
__declspec(align(32)) VUINT32 sPC1[8][1];
__declspec(align(32)) VUINT32 sPC0[8][1];
__declspec(align(32)) VUINT32 iCHK_WORK_SUB[8][1];
__declspec(align(32)) VUINT32 iCHK_WORK_CMP[8][1];
} __svml_satan2_data_internal;
#endif
__svml_satan2_data_internal:
.long 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 // sZERO
.align 32
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 // sSIGN_MASK
.align 32
.long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF // sABS_MASK
.align 32
.long 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB // sPIO2
.align 32
.long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB // sPI
.align 32
.long 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0 // sA08
.align 32
.long 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631 // sA07
.align 32
.long 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384 // sA06
.align 32
.long 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629 // sA05
.align 32
.long 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474 // sA04
.align 32
.long 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8 // sA03
.align 32
.long 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F // sA02
.align 32
.long 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49 // sA01
.align 32
.long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 // sA00
.align 32
.long 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000 //iCHK_WORK_SUB
.align 32
.long 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000 //iCHK_WORK_CMP
.align 32
.type __svml_satan2_data_internal,@object
.size __svml_satan2_data_internal,.-__svml_satan2_data_internal

29
sysdeps/x86_64/fpu/svml_d_atan22_core.S Normal file
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/* Function atan2 vectorized with SSE2.
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/>. */
#include <sysdep.h>
#include "svml_d_wrapper_impl.h"
.text
ENTRY (_ZGVbN2vv_atan2)
WRAPPER_IMPL_SSE2_ff atan2
END (_ZGVbN2vv_atan2)
#ifndef USE_MULTIARCH
libmvec_hidden_def (_ZGVbN2vv_atan2)
#endif

29
sysdeps/x86_64/fpu/svml_d_atan24_core.S Normal file
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@ -0,0 +1,29 @@
/* Function atan2 vectorized with AVX2, wrapper version.
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/>. */
#include <sysdep.h>
#include "svml_d_wrapper_impl.h"
.text
ENTRY (_ZGVdN4vv_atan2)
WRAPPER_IMPL_AVX_ff _ZGVbN2vv_atan2
END (_ZGVdN4vv_atan2)
#ifndef USE_MULTIARCH
libmvec_hidden_def (_ZGVdN4vv_atan2)
#endif

25
sysdeps/x86_64/fpu/svml_d_atan24_core_avx.S Normal file
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/* Function atan2 vectorized in AVX ISA as wrapper to SSE4 ISA version.
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/>. */
#include <sysdep.h>
#include "svml_d_wrapper_impl.h"
.text
ENTRY (_ZGVcN4vv_atan2)
WRAPPER_IMPL_AVX_ff _ZGVbN2vv_atan2
END (_ZGVcN4vv_atan2)

25
sysdeps/x86_64/fpu/svml_d_atan28_core.S Normal file
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@ -0,0 +1,25 @@
/* Function atan2 vectorized with AVX-512. Wrapper to AVX2 version.
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/>. */
#include <sysdep.h>
#include "svml_d_wrapper_impl.h"
.text
ENTRY (_ZGVeN8vv_atan2)
WRAPPER_IMPL_AVX512_ff _ZGVdN4vv_atan2
END (_ZGVeN8vv_atan2)

25
sysdeps/x86_64/fpu/svml_s_atan2f16_core.S Normal file
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@ -0,0 +1,25 @@
/* Function atan2f vectorized with AVX-512. Wrapper to AVX2 version.
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/>. */
#include <sysdep.h>
#include "svml_s_wrapper_impl.h"
.text
ENTRY (_ZGVeN16vv_atan2f)
WRAPPER_IMPL_AVX512_ff _ZGVdN8vv_atan2f
END (_ZGVeN16vv_atan2f)

29
sysdeps/x86_64/fpu/svml_s_atan2f4_core.S Normal file
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@ -0,0 +1,29 @@
/* Function atan2f vectorized with SSE2.
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/>. */
#include <sysdep.h>
#include "svml_s_wrapper_impl.h"
.text
ENTRY (_ZGVbN4vv_atan2f)
WRAPPER_IMPL_SSE2_ff atan2f
END (_ZGVbN4vv_atan2f)
#ifndef USE_MULTIARCH
libmvec_hidden_def (_ZGVbN4vv_atan2f)
#endif

29
sysdeps/x86_64/fpu/svml_s_atan2f8_core.S Normal file
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@ -0,0 +1,29 @@
/* Function atan2f vectorized with AVX2, wrapper version.
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/>. */
#include <sysdep.h>
#include "svml_s_wrapper_impl.h"
.text
ENTRY (_ZGVdN8vv_atan2f)
WRAPPER_IMPL_AVX_ff _ZGVbN4vv_atan2f
END (_ZGVdN8vv_atan2f)
#ifndef USE_MULTIARCH
libmvec_hidden_def (_ZGVdN8vv_atan2f)
#endif

25
sysdeps/x86_64/fpu/svml_s_atan2f8_core_avx.S Normal file
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@ -0,0 +1,25 @@
/* Function atan2f vectorized in AVX ISA as wrapper to SSE4 ISA version.
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/>. */
#include <sysdep.h>
#include "svml_s_wrapper_impl.h"
.text
ENTRY(_ZGVcN8vv_atan2f)
WRAPPER_IMPL_AVX_ff _ZGVbN4vv_atan2f
END(_ZGVcN8vv_atan2f)

1
sysdeps/x86_64/fpu/test-double-libmvec-atan2-avx.c Normal file
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#include "test-double-libmvec-atan2.c"

1
sysdeps/x86_64/fpu/test-double-libmvec-atan2-avx2.c Normal file
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#include "test-double-libmvec-atan2.c"

1
sysdeps/x86_64/fpu/test-double-libmvec-atan2-avx512f.c Normal file
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#include "test-double-libmvec-atan2.c"

3
sysdeps/x86_64/fpu/test-double-libmvec-atan2.c Normal file
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#define LIBMVEC_TYPE double
#define LIBMVEC_FUNC atan2
#include "test-vector-abi-arg2.h"

1
sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c
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@ -37,6 +37,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosh), _ZGVbN2v_cosh)
VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVbN2v_expm1)
VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVbN2v_sinh)
VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVbN2v_cbrt)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVbN2vv_atan2)
#define VEC_INT_TYPE __m128i

1
sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c
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@ -40,6 +40,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosh), _ZGVdN4v_cosh)
VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVdN4v_expm1)
VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVdN4v_sinh)
VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVdN4v_cbrt)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVdN4vv_atan2)
#ifndef __ILP32__
# define VEC_INT_TYPE __m256i

1
sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c
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@ -37,6 +37,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosh), _ZGVcN4v_cosh)
VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVcN4v_expm1)
VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVcN4v_sinh)
VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVcN4v_cbrt)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVcN4vv_atan2)
#define VEC_INT_TYPE __m128i

1
sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c
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@ -37,6 +37,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosh), _ZGVeN8v_cosh)
VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVeN8v_expm1)
VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVeN8v_sinh)
VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVeN8v_cbrt)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVeN8vv_atan2)
#ifndef __ILP32__
# define VEC_INT_TYPE __m512i

1
sysdeps/x86_64/fpu/test-float-libmvec-atan2f-avx.c Normal file
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@ -0,0 +1 @@
#include "test-float-libmvec-atan2f.c"

1
sysdeps/x86_64/fpu/test-float-libmvec-atan2f-avx2.c Normal file
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#include "test-float-libmvec-atan2f.c"

1
sysdeps/x86_64/fpu/test-float-libmvec-atan2f-avx512f.c Normal file
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#include "test-float-libmvec-atan2f.c"

3
sysdeps/x86_64/fpu/test-float-libmvec-atan2f.c Normal file
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@ -0,0 +1,3 @@
#define LIBMVEC_TYPE float
#define LIBMVEC_FUNC atan2f
#include "test-vector-abi-arg2.h"

1
sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c
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@ -37,6 +37,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (coshf), _ZGVeN16v_coshf)
VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVeN16v_expm1f)
VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVeN16v_sinhf)
VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVeN16v_cbrtf)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVeN16vv_atan2f)
#define VEC_INT_TYPE __m512i

1
sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c
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@ -37,6 +37,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (coshf), _ZGVbN4v_coshf)
VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVbN4v_expm1f)
VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVbN4v_sinhf)
VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVbN4v_cbrtf)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVbN4vv_atan2f)
#define VEC_INT_TYPE __m128i

1
sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c
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@ -40,6 +40,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (coshf), _ZGVdN8v_coshf)
VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVdN8v_expm1f)
VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVdN8v_sinhf)
VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVdN8v_cbrtf)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVdN8vv_atan2f)
/* Redefinition of wrapper to be compatible with _ZGVdN8vvv_sincosf. */
#undef VECTOR_WRAPPER_fFF

1
sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c
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@ -37,6 +37,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (coshf), _ZGVcN8v_coshf)
VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVcN8v_expm1f)
VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVcN8v_sinhf)
VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVcN8v_cbrtf)
VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVcN8vv_atan2f)
#define VEC_INT_TYPE __m128i