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/* Function atanf 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_satan_data_internal_avx512
*/
#define AbsMask 0
#define Shifter 64
#define MaxThreshold 128
#define MOne 192
#define One 256
#define LargeX 320
#define Zero 384
#define Tbl_H 448
#define Pi2 576
#define coeff_1 640
#define coeff_2 704
#define coeff_3 768
#include <sysdep.h>
.text
.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16v_atanf_skx)
vandps __svml_satan_data_internal_avx512(%rip), %zmm0, %zmm7
vmovups MaxThreshold+__svml_satan_data_internal_avx512(%rip), %zmm3
vmovups One+__svml_satan_data_internal_avx512(%rip), %zmm8
/* round to 2 bits after binary point */
vreduceps $40, {sae}, %zmm7, %zmm5
/* saturate X range */
vmovups LargeX+__svml_satan_data_internal_avx512(%rip), %zmm6
vmovups Shifter+__svml_satan_data_internal_avx512(%rip), %zmm2
vcmpps $29, {sae}, %zmm3, %zmm7, %k1
/* table lookup sequence */
vmovups Tbl_H+__svml_satan_data_internal_avx512(%rip), %zmm3
vsubps {rn-sae}, %zmm5, %zmm7, %zmm4
vaddps {rn-sae}, %zmm2, %zmm7, %zmm1
vxorps %zmm0, %zmm7, %zmm0
vfmadd231ps {rn-sae}, %zmm7, %zmm4, %zmm8
vmovups coeff_2+__svml_satan_data_internal_avx512(%rip), %zmm4
/* if|X|>=MaxThreshold, set DiffX=-1 */
vblendmps MOne+__svml_satan_data_internal_avx512(%rip), %zmm5, %zmm9{%k1}
vmovups coeff_3+__svml_satan_data_internal_avx512(%rip), %zmm5
/* if|X|>=MaxThreshold, set Y=X */
vminps {sae}, %zmm7, %zmm6, %zmm8{%k1}
/* R+Rl = DiffX/Y */
vgetmantps $0, {sae}, %zmm9, %zmm12
vgetexpps {sae}, %zmm9, %zmm10
vpermt2ps Tbl_H+64+__svml_satan_data_internal_avx512(%rip), %zmm1, %zmm3
vgetmantps $0, {sae}, %zmm8, %zmm15
vgetexpps {sae}, %zmm8, %zmm11
vmovups coeff_1+__svml_satan_data_internal_avx512(%rip), %zmm1
/* set table value to Pi/2 for large X */
vblendmps Pi2+__svml_satan_data_internal_avx512(%rip), %zmm3, %zmm9{%k1}
vrcp14ps %zmm15, %zmm13
vsubps {rn-sae}, %zmm11, %zmm10, %zmm2
vmulps {rn-sae}, %zmm13, %zmm12, %zmm14
vfnmadd213ps {rn-sae}, %zmm12, %zmm14, %zmm15
vfmadd213ps {rn-sae}, %zmm14, %zmm13, %zmm15
vscalefps {rn-sae}, %zmm2, %zmm15, %zmm7
/* polynomial evaluation */
vmulps {rn-sae}, %zmm7, %zmm7, %zmm8
vmulps {rn-sae}, %zmm7, %zmm8, %zmm6
vfmadd231ps {rn-sae}, %zmm8, %zmm1, %zmm4
vfmadd213ps {rn-sae}, %zmm5, %zmm4, %zmm8
vfmadd213ps {rn-sae}, %zmm7, %zmm6, %zmm8
vaddps {rn-sae}, %zmm9, %zmm8, %zmm10
vxorps %zmm0, %zmm10, %zmm0
ret
END(_ZGVeN16v_atanf_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_satan_data_internal_avx512_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 AbsMask[16][1];
__declspec(align(64)) VUINT32 Shifter[16][1];
__declspec(align(64)) VUINT32 MaxThreshold[16][1];
__declspec(align(64)) VUINT32 MOne[16][1];
__declspec(align(64)) VUINT32 One[16][1];
__declspec(align(64)) VUINT32 LargeX[16][1];
__declspec(align(64)) VUINT32 Zero[16][1];
__declspec(align(64)) VUINT32 Tbl_H[32][1];
__declspec(align(64)) VUINT32 Pi2[16][1];
__declspec(align(64)) VUINT32 coeff[3][16][1];
} __svml_satan_data_internal_avx512;
#endif
__svml_satan_data_internal_avx512:
/*== AbsMask ==*/
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff
/*== Shifter ==*/
.align 64
.long 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000, 0x4a000000
/*== MaxThreshold ==*/
.align 64
.long 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000, 0x40F80000
/*== MOne ==*/
.align 64
.long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000
/*== One ==*/
.align 64
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
/*== LargeX ==*/
.align 64
.long 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000, 0x4f800000
/*== Zero ==*/
.align 64
.long 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000
/*== Tbl_H ==*/
.align 64
.long 0x00000000, 0x3e7adbb0
.long 0x3eed6338, 0x3f24bc7d
.long 0x3f490fdb, 0x3f6563e3
.long 0x3f7b985f, 0x3f869c79
.long 0x3f8db70d, 0x3f93877b
.long 0x3f985b6c, 0x3f9c6b53
.long 0x3f9fe0bb, 0x3fa2daa4
.long 0x3fa57088, 0x3fa7b46f
.long 0x3fa9b465, 0x3fab7b7a
.long 0x3fad1283, 0x3fae809e
.long 0x3fafcb99, 0x3fb0f836
.long 0x3fb20a6a, 0x3fb30581
.long 0x3fb3ec43, 0x3fb4c10a
.long 0x3fb585d7, 0x3fb63c64
.long 0x3fb6e62c, 0x3fb78478
.long 0x3fb81868, 0x3fb8a2f5
/*== Pi2 ==*/
.align 64
.long 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB
/*== coeff3 ==*/
.align 64
.long 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de, 0xbe0fa8de
.long 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2, 0x3e4cc8e2
.long 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa, 0xbeaaaaaa
.align 64
.type __svml_satan_data_internal_avx512,@object
.size __svml_satan_data_internal_avx512,.-__svml_satan_data_internal_avx512
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