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/* Function cbrtf 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:
*
* x=2^{3*k+j} * 1.b1 b2 ... b5 b6 ... b52
* Let r=(x*2^{-3k-j} - 1.b1 b2 ... b5 1)* rcp[b1 b2 ..b5],
* where rcp[b1 b2 .. b5]=1/(1.b1 b2 b3 b4 b5 1) in single precision
* cbrtf(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5]
* (T stores the high 24 bits, D stores the low order bits)
* Result=2^k*T+(2^k*T*r)*P+2^k*D
* where P=p1+p2*r+..
*
*/
/* Offsets for data table __svml_scbrt_data_internal_avx512
*/
#define etbl_H 0
#define etbl_L 64
#define cbrt_tbl_H 128
#define BiasL 256
#define SZero 320
#define OneThird 384
#define Bias3 448
#define Three 512
#define One 576
#define poly_coeff3 640
#define poly_coeff2 704
#define poly_coeff1 768
#include <sysdep.h>
.text
.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16v_cbrtf_skx)
vgetmantps $0, {sae}, %zmm0, %zmm8
/* GetExp(x) */
vgetexpps {sae}, %zmm0, %zmm1
vmovups BiasL+__svml_scbrt_data_internal_avx512(%rip), %zmm2
/* exponent/3 */
vmovups OneThird+__svml_scbrt_data_internal_avx512(%rip), %zmm3
vmovups Bias3+__svml_scbrt_data_internal_avx512(%rip), %zmm4
vmovups One+__svml_scbrt_data_internal_avx512(%rip), %zmm15
/* exponent%3 (to be used as index) */
vmovups Three+__svml_scbrt_data_internal_avx512(%rip), %zmm5
/* polynomial */
vmovups poly_coeff3+__svml_scbrt_data_internal_avx512(%rip), %zmm11
vmovups poly_coeff1+__svml_scbrt_data_internal_avx512(%rip), %zmm14
/* Table lookup */
vmovups cbrt_tbl_H+__svml_scbrt_data_internal_avx512(%rip), %zmm12
/* DblRcp ~ 1/Mantissa */
vrcp14ps %zmm8, %zmm7
vaddps {rn-sae}, %zmm2, %zmm1, %zmm6
vandps SZero+__svml_scbrt_data_internal_avx512(%rip), %zmm0, %zmm0
/* round DblRcp to 3 fractional bits (RN mode, no Precision exception) */
vrndscaleps $88, {sae}, %zmm7, %zmm9
vfmsub231ps {rn-sae}, %zmm6, %zmm3, %zmm4
vmovups poly_coeff2+__svml_scbrt_data_internal_avx512(%rip), %zmm7
/* Reduced argument: R = DblRcp*Mantissa - 1 */
vfmsub231ps {rn-sae}, %zmm9, %zmm8, %zmm15
vrndscaleps $9, {sae}, %zmm4, %zmm13
/* Prepare table index */
vpsrld $19, %zmm9, %zmm10
vfmadd231ps {rn-sae}, %zmm15, %zmm11, %zmm7
vfnmadd231ps {rn-sae}, %zmm13, %zmm5, %zmm6
vpermt2ps cbrt_tbl_H+64+__svml_scbrt_data_internal_avx512(%rip), %zmm10, %zmm12
vfmadd213ps {rn-sae}, %zmm14, %zmm15, %zmm7
vscalefps {rn-sae}, %zmm13, %zmm12, %zmm2
/* Table lookup: 2^(exponent%3) */
vpermps __svml_scbrt_data_internal_avx512(%rip), %zmm6, %zmm1
vpermps etbl_L+__svml_scbrt_data_internal_avx512(%rip), %zmm6, %zmm6
/* Sh*R */
vmulps {rn-sae}, %zmm15, %zmm1, %zmm14
/* Sl + (Sh*R)*Poly */
vfmadd213ps {rn-sae}, %zmm6, %zmm7, %zmm14
/*
* branch-free
* scaled_Th*(Sh+Sl+Sh*R*Poly)
*/
vaddps {rn-sae}, %zmm1, %zmm14, %zmm15
vmulps {rn-sae}, %zmm2, %zmm15, %zmm3
vorps %zmm0, %zmm3, %zmm0
ret
END(_ZGVeN16v_cbrtf_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_scbrt_data_internal_avx512_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 etbl_H[16][1];
__declspec(align(64)) VUINT32 etbl_L[16][1];
__declspec(align(64)) VUINT32 cbrt_tbl_H[32][1];
__declspec(align(64)) VUINT32 BiasL[16][1];
__declspec(align(64)) VUINT32 SZero[16][1];
__declspec(align(64)) VUINT32 OneThird[16][1];
__declspec(align(64)) VUINT32 Bias3[16][1];
__declspec(align(64)) VUINT32 Three[16][1];
__declspec(align(64)) VUINT32 One[16][1];
__declspec(align(64)) VUINT32 poly_coeff3[16][1];
__declspec(align(64)) VUINT32 poly_coeff2[16][1];
__declspec(align(64)) VUINT32 poly_coeff1[16][1];
} __svml_scbrt_data_internal_avx512;
#endif
__svml_scbrt_data_internal_avx512:
/*== etbl_H ==*/
.long 0x3f800000
.long 0x3fa14518
.long 0x3fcb2ff5
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
/*== etbl_L ==*/
.align 64
.long 0x00000000
.long 0xb2ce51af
.long 0x32a7adc8
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
/*== cbrt_tbl_H ==*/
.align 64
.long 0x3fa14518
.long 0x3f9e0b2b
.long 0x3f9b0f9b
.long 0x3f984a9a
.long 0x3f95b5af
.long 0x3f934b6c
.long 0x3f910737
.long 0x3f8ee526
.long 0x3f8ce1da
.long 0x3f8afa6a
.long 0x3f892c4e
.long 0x3f87754e
.long 0x3f85d377
.long 0x3f844510
.long 0x3f82c892
.long 0x3f815c9f
.long 0x3f800000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
.long 0x00000000
/*== BiasL ==*/
.align 64
.long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000
/*== Zero ==*/
.align 64
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000
/*== OneThird ==*/
.align 64
.long 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab, 0x3eaaaaab
/*== Bias3 ==*/
.align 64
.long 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000, 0x4a800000
/*== Three ==*/
.align 64
.long 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000, 0x40400000
/*==One ==*/
.align 64
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
/*== poly_coeff3 ==*/
.align 64
.long 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c, 0x3d7d057c
/*== poly_coeff2 ==*/
.align 64
.long 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363, 0xbde3a363
/*== poly_coeff1 ==*/
.align 64
.long 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa, 0x3eaaaaaa
.align 64
.type __svml_scbrt_data_internal_avx512,@object
.size __svml_scbrt_data_internal_avx512,.-__svml_scbrt_data_internal_avx512
|
