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/* Function erff vectorized with AVX-512.
Copyright (C) 2021-2022 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:
*
* erf(x) is computed as higher precision simple polynomial
* with no lookup table:
*
* R = P0 + x^2*(P1 + x^2*(P2 + .... x^2*P12));
* erf(x) = R * R * x;
*
* Special cases:
*
* erf(0) = 0
* erf(+INF) = +1
* erf(-INF) = -1
* erf(QNaN) = QNaN
* erf(SNaN) = QNaN
*
*/
/* Offsets for data table __svml_serf_data_internal
*/
#define _AbsMask 0
#define _One 64
#define _gf_MaxThreshold_LA 128
#define _gf_la_poly_0 192
#define _gf_la_poly_1 256
#define _gf_la_poly_2 320
#define _gf_la_poly_3 384
#define _gf_la_poly_4 448
#define _gf_la_poly_5 512
#define _gf_la_poly_6 576
#define _gf_la_poly_7 640
#define _gf_la_poly_8 704
#define _gf_la_poly_9 768
#define _gf_la_poly_10 832
#define _gf_la_poly_11 896
#define _gf_la_poly_12 960
#include <sysdep.h>
.text
.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16v_erff_skx)
vmovaps %zmm0, %zmm8
vmulps {rn-sae}, %zmm8, %zmm8, %zmm11
vmovups _gf_la_poly_11+__svml_serf_data_internal(%rip), %zmm15
vmovups _gf_la_poly_12+__svml_serf_data_internal(%rip), %zmm10
vmovups _gf_la_poly_10+__svml_serf_data_internal(%rip), %zmm9
vmovups _gf_la_poly_9+__svml_serf_data_internal(%rip), %zmm7
vmovups _gf_la_poly_8+__svml_serf_data_internal(%rip), %zmm0
vmovups _gf_la_poly_7+__svml_serf_data_internal(%rip), %zmm1
vmovups _gf_la_poly_6+__svml_serf_data_internal(%rip), %zmm2
vmovups _gf_la_poly_5+__svml_serf_data_internal(%rip), %zmm3
vmovups _gf_la_poly_4+__svml_serf_data_internal(%rip), %zmm4
vmovups _gf_la_poly_3+__svml_serf_data_internal(%rip), %zmm5
vmovups _gf_la_poly_2+__svml_serf_data_internal(%rip), %zmm6
vextractf32x8 $1, %zmm8, %ymm13
vcvtps2pd {sae}, %ymm8, %zmm12
vcvtps2pd {sae}, %ymm13, %zmm14
vmulpd {rn-sae}, %zmm12, %zmm12, %zmm12
vmulpd {rn-sae}, %zmm14, %zmm14, %zmm13
/* R = P0 + x^2*(P1 + x^2*(P2 + .... x^2*P12)); */
vmovaps %zmm15, %zmm14
vfmadd231pd {rn-sae}, %zmm12, %zmm10, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm10, %zmm15
vmovups _gf_la_poly_1+__svml_serf_data_internal(%rip), %zmm10
vfmadd213pd {rn-sae}, %zmm9, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm15, %zmm9
vfmadd213pd {rn-sae}, %zmm7, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm9, %zmm7
vfmadd213pd {rn-sae}, %zmm0, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm7, %zmm0
vmovups _gf_MaxThreshold_LA+__svml_serf_data_internal(%rip), %zmm7
vfmadd213pd {rn-sae}, %zmm1, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm0, %zmm1
vmovups _gf_la_poly_0+__svml_serf_data_internal(%rip), %zmm0
vcmpps $22, {sae}, %zmm11, %zmm7, %k1
vfmadd213pd {rn-sae}, %zmm2, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm1, %zmm2
vfmadd213pd {rn-sae}, %zmm3, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm2, %zmm3
vfmadd213pd {rn-sae}, %zmm4, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm3, %zmm4
vfmadd213pd {rn-sae}, %zmm5, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm4, %zmm5
vfmadd213pd {rn-sae}, %zmm6, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm5, %zmm6
vmovups _AbsMask+__svml_serf_data_internal(%rip), %zmm5
vfmadd213pd {rn-sae}, %zmm10, %zmm12, %zmm14
vfmadd231pd {rn-sae}, %zmm13, %zmm6, %zmm10
vandnps %zmm8, %zmm5, %zmm6
vfmadd213pd {rn-sae}, %zmm0, %zmm14, %zmm12
vfmadd213pd {rn-sae}, %zmm0, %zmm10, %zmm13
vorps _One+__svml_serf_data_internal(%rip), %zmm6, %zmm0
vmulpd {rn-sae}, %zmm12, %zmm12, %zmm1
vmulpd {rn-sae}, %zmm13, %zmm13, %zmm3
vcvtpd2ps {rn-sae}, %zmm1, %ymm2
vcvtpd2ps {rn-sae}, %zmm3, %ymm4
vinsertf32x8 $1, %ymm4, %zmm2, %zmm9
/* erf(x) = R * R * x; */
vmulps {rn-sae}, %zmm8, %zmm9, %zmm0{%k1}
ret
END(_ZGVeN16v_erff_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_serf_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct
{
__declspec(align(64)) VUINT32 _AbsMask[16][1];
__declspec(align(64)) VUINT32 _One[16][1];
__declspec(align(64)) VUINT32 _gf_MaxThreshold_LA[16][1];
__declspec(align(64)) VUINT32 _gf_la_poly_0[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_1[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_2[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_3[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_4[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_5[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_6[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_7[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_8[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_9[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_10[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_11[8][2];
__declspec(align(64)) VUINT32 _gf_la_poly_12[8][2];
} __svml_serf_data_internal;
#endif
__svml_serf_data_internal:
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _AbsMask */
.align 64
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 /* _One */
.align 64
.long 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a /* _gf_MaxThreshold_LA */
.align 64
.quad 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903 /* _gf_la_poly_0 */
.align 64
.quad 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367 /* _gf_la_poly_1 */
.align 64
.quad 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b /* _gf_la_poly_2 */
.align 64
.quad 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc /* _gf_la_poly_3 */
.align 64
.quad 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392 /* _gf_la_poly_4 */
.align 64
.quad 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede /* _gf_la_poly_5 */
.align 64
.quad 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0 /* _gf_la_poly_6 */
.align 64
.quad 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f /* _gf_la_poly_7 */
.align 64
.quad 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523 /* _gf_la_poly_8 */
.align 64
.quad 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47 /* _gf_la_poly_9 */
.align 64
.quad 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03 /* _gf_la_poly_10 */
.align 64
.quad 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb /* _gf_la_poly_11 */
.align 64
.quad 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1 /* _gf_la_poly_12 */
.align 64
.type __svml_serf_data_internal,@object
.size __svml_serf_data_internal,.-__svml_serf_data_internal
|
