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|
/* Function erfcf vectorized with AVX2.
Copyright (C) 2021-2023 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:
*
* Approximation formula:
* erfc(x) ~ erfc(x0) - 2/sqrt(pi)*exp(-x0^2)*D * [ 1 + (x0*D)*p1(x0*D) + D^2 * p3(x0*D) ]
* D = x - x0
* erfc(x0) and 2/sqrt(pi)*exp(-x0^2)/(2*x0) are tabulated
*
*
*/
/* Offsets for data table __svml_serfc_data_internal
*/
#define _erfc_tbl 0
#define _AbsMask 5184
#define _MaxThreshold 5216
#define _SgnMask 5248
#define _One 5280
#define _SRound 5312
#define _TwoM48 5344
#define _poly1_0 5376
#define _poly1_1 5408
#define _poly3_0 5440
#define _poly3_1 5472
#define _poly1_2 5504
#define _poly1_3 5536
#define _UF_Threshold 5568
/* Lookup bias for data table __svml_serfc_data_internal. */
#define Table_Lookup_Bias -0x40000000
#include <sysdep.h>
.section .text.avx2, "ax", @progbits
ENTRY(_ZGVdN8v_erfcf_avx2)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-32, %rsp
subq $96, %rsp
/* vector gather: erfc_h(x0), (erfc_l(x0), 2/sqrt(pi)*exp(-x0^2)) */
lea Table_Lookup_Bias+__svml_serfc_data_internal(%rip), %rax
vmovaps %ymm0, %ymm6
vmovups _SRound+__svml_serfc_data_internal(%rip), %ymm1
vmovups _TwoM48+__svml_serfc_data_internal(%rip), %ymm10
vmovups _One+__svml_serfc_data_internal(%rip), %ymm0
vandps _AbsMask+__svml_serfc_data_internal(%rip), %ymm6, %ymm5
/*
* erfc(10.125) underflows to 0
* can compute all results in the main path
*/
vminps _MaxThreshold+__svml_serfc_data_internal(%rip), %ymm5, %ymm4
vaddps %ymm1, %ymm4, %ymm8
vmaxps %ymm10, %ymm4, %ymm2
vsubps %ymm1, %ymm8, %ymm12
vpslld $3, %ymm8, %ymm7
vandps _SgnMask+__svml_serfc_data_internal(%rip), %ymm6, %ymm13
vorps %ymm13, %ymm0, %ymm3
/* 2.0 if x<0, 0.0 otherwise */
vsubps %ymm3, %ymm0, %ymm5
vsubps %ymm12, %ymm2, %ymm0
/* Start polynomial evaluation */
vmovups _poly1_0+__svml_serfc_data_internal(%rip), %ymm3
vmovups _poly3_0+__svml_serfc_data_internal(%rip), %ymm2
vmulps %ymm0, %ymm12, %ymm1
vfmadd213ps _poly1_1+__svml_serfc_data_internal(%rip), %ymm1, %ymm3
vfmadd213ps _poly3_1+__svml_serfc_data_internal(%rip), %ymm1, %ymm2
vfmadd213ps _poly1_2+__svml_serfc_data_internal(%rip), %ymm1, %ymm3
/* 2^(-64) with sign of input */
vorps %ymm13, %ymm10, %ymm4
vfmadd213ps _poly1_3+__svml_serfc_data_internal(%rip), %ymm1, %ymm3
vextractf128 $1, %ymm7, %xmm12
vmovd %xmm7, %edx
vmovd %xmm12, %r8d
vpextrd $1, %xmm7, %ecx
vpextrd $2, %xmm7, %esi
vpextrd $3, %xmm7, %edi
vpextrd $1, %xmm12, %r9d
vpextrd $2, %xmm12, %r10d
vpextrd $3, %xmm12, %r11d
movslq %edx, %rdx
movslq %ecx, %rcx
movslq %esi, %rsi
movslq %edi, %rdi
movslq %r8d, %r8
movslq %r9d, %r9
movslq %r10d, %r10
movslq %r11d, %r11
vmovq (%rax, %rdx), %xmm13
vmovq (%rax, %rcx), %xmm11
vmovq (%rax, %rsi), %xmm14
vmovq (%rax, %rdi), %xmm15
vmovq (%rax, %r8), %xmm7
vmovq (%rax, %r9), %xmm8
vmovq (%rax, %r10), %xmm9
vmovq (%rax, %r11), %xmm10
vunpcklps %xmm14, %xmm13, %xmm12
vunpcklps %xmm15, %xmm11, %xmm11
vunpcklps %xmm9, %xmm7, %xmm9
vunpcklps %xmm10, %xmm8, %xmm14
vinsertf128 $1, %xmm9, %ymm12, %ymm15
vinsertf128 $1, %xmm14, %ymm11, %ymm7
vunpcklps %ymm7, %ymm15, %ymm9
vunpckhps %ymm7, %ymm15, %ymm8
/* Diff^2 */
vmulps %ymm0, %ymm0, %ymm15
/* P3*D2 */
vmulps %ymm15, %ymm2, %ymm2
/* P1 = P1*T + P3*D2 */
vfmadd213ps %ymm2, %ymm1, %ymm3
/* Special arguments (for flags only) */
vcmplt_oqps _UF_Threshold+__svml_serfc_data_internal(%rip), %ymm6, %ymm1
/* EXP_X0H * (1+P1) */
vfmadd213ps %ymm8, %ymm8, %ymm3
/* erfc_high(x0) - Diff * (2/sqrt(pi)*exp(-x0^2))*(1+P1) */
vfnmadd213ps %ymm9, %ymm3, %ymm0
/* combine and get argument value range mask */
vmovmskps %ymm1, %edx
notl %edx
movzbl %dl, %edx
vfmadd213ps %ymm5, %ymm4, %ymm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx ymm0 ymm6
/* 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):
vmovups %ymm6, 32(%rsp)
vmovups %ymm0, 64(%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: -80; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 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: -88; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 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: -96; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 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 64(%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: -80; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 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: -88; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 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: -96; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 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
vmovss 32(%rsp, %r14, 4), %xmm0
call erfcf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
vmovss %xmm0, 64(%rsp, %r14, 4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN8v_erfcf_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_serfc_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(32)) VUINT32 _erfc_tbl[645*2][1];
__declspec(align(32)) VUINT32 _AbsMask[8][1];
__declspec(align(32)) VUINT32 _MaxThreshold[8][1];
__declspec(align(32)) VUINT32 _SgnMask[8][1];
__declspec(align(32)) VUINT32 _One[8][1];
__declspec(align(32)) VUINT32 _SRound[8][1];
__declspec(align(32)) VUINT32 _TwoM48[8][1];
__declspec(align(32)) VUINT32 _poly1_0[8][1];
__declspec(align(32)) VUINT32 _poly1_1[8][1];
__declspec(align(32)) VUINT32 _poly3_0[8][1];
__declspec(align(32)) VUINT32 _poly3_1[8][1];
__declspec(align(32)) VUINT32 _poly1_2[8][1];
__declspec(align(32)) VUINT32 _poly1_3[8][1];
__declspec(align(32)) VUINT32 _UF_Threshold[8][1];
} __svml_serfc_data_internal;
#endif
__svml_serfc_data_internal:
/* _erfc_tbl */
.long 0x57800000, 0x57906ebb
.long 0x577b7ca2, 0x579065b4
.long 0x5776f9d5, 0x57904aa3
.long 0x57727828, 0x57901d93
.long 0x576df82b, 0x578fde94
.long 0x57697a6e, 0x578f8dbd
.long 0x5764ff7f, 0x578f2b2e
.long 0x576087ea, 0x578eb70a
.long 0x575c143d, 0x578e317d
.long 0x5757a500, 0x578d9ab9
.long 0x57533abf, 0x578cf2f5
.long 0x574ed5fe, 0x578c3a6f
.long 0x574a7744, 0x578b716c
.long 0x57461f12, 0x578a9834
.long 0x5741cdeb, 0x5789af18
.long 0x573d844a, 0x5788b66c
.long 0x573942ac, 0x5787ae8b
.long 0x57350989, 0x578697d3
.long 0x5730d956, 0x578572a8
.long 0x572cb284, 0x57843f72
.long 0x57289583, 0x5782fe9f
.long 0x572482bd, 0x5781b0a0
.long 0x57207a9b, 0x578055e8
.long 0x571c7d80, 0x577ddddf
.long 0x57188bcb, 0x577af867
.long 0x5714a5da, 0x5777fc62
.long 0x5710cc05, 0x5774ead4
.long 0x570cfe9f, 0x5771c4c4
.long 0x57093df9, 0x576e8b3e
.long 0x57058a5e, 0x576b3f51
.long 0x5701e415, 0x5767e20f
.long 0x56fc96c6, 0x5764748e
.long 0x56f5810a, 0x5760f7e5
.long 0x56ee876d, 0x575d6d2d
.long 0x56e7aa5a, 0x5759d57e
.long 0x56e0ea35, 0x575631f4
.long 0x56da4757, 0x575283a7
.long 0x56d3c214, 0x574ecbb1
.long 0x56cd5ab3, 0x574b0b28
.long 0x56c71175, 0x57474323
.long 0x56c0e692, 0x574374b5
.long 0x56bada38, 0x573fa0ee
.long 0x56b4ec8f, 0x573bc8dc
.long 0x56af1db3, 0x5737ed89
.long 0x56a96dbc, 0x57340ff9
.long 0x56a3dcb7, 0x5730312e
.long 0x569e6aaa, 0x572c5223
.long 0x56991793, 0x572873cf
.long 0x5693e369, 0x57249721
.long 0x568ece1a, 0x5720bd06
.long 0x5689d78f, 0x571ce661
.long 0x5684ffa8, 0x5719140f
.long 0x56804640, 0x571546e7
.long 0x56775654, 0x57117fb9
.long 0x566e5c65, 0x570dbf4c
.long 0x56659e43, 0x570a0662
.long 0x565d1b6d, 0x570655b1
.long 0x5654d35d, 0x5702adeb
.long 0x564cc57d, 0x56fe1f73
.long 0x5644f12f, 0x56f6f777
.long 0x563d55cc, 0x56efe513
.long 0x5635f2a1, 0x56e8e968
.long 0x562ec6f6, 0x56e20584
.long 0x5627d207, 0x56db3a64
.long 0x5621130b, 0x56d488f8
.long 0x561a8931, 0x56cdf21c
.long 0x561433a0, 0x56c7769b
.long 0x560e117c, 0x56c11733
.long 0x560821e1, 0x56bad48d
.long 0x560263e5, 0x56b4af46
.long 0x55f9ad39, 0x56aea7ea
.long 0x55eef22b, 0x56a8bef3
.long 0x55e494b6, 0x56a2f4ce
.long 0x55da92eb, 0x569d49d9
.long 0x55d0ead3, 0x5697be62
.long 0x55c79a75, 0x569252aa
.long 0x55be9fd3, 0x568d06e3
.long 0x55b5f8ee, 0x5687db31
.long 0x55ada3c2, 0x5682cfad
.long 0x55a59e4c, 0x567bc8c2
.long 0x559de68a, 0x56723298
.long 0x55967a77, 0x5668dcc1
.long 0x558f5812, 0x565fc70e
.long 0x55887d5c, 0x5656f136
.long 0x5581e856, 0x564e5adf
.long 0x55772e0c, 0x56460399
.long 0x556b0eeb, 0x563deae4
.long 0x555f6f64, 0x5636102b
.long 0x55544b9e, 0x562e72cb
.long 0x55499fc8, 0x5627120f
.long 0x553f681d, 0x561fed36
.long 0x5535a0e6, 0x5619036e
.long 0x552c4679, 0x561253dc
.long 0x55235539, 0x560bdd96
.long 0x551ac999, 0x56059fa9
.long 0x5512a01c, 0x55ff3230
.long 0x550ad554, 0x55f391b9
.long 0x550365e5, 0x55e85bd0
.long 0x54f89d02, 0x55dd8e4c
.long 0x54eb17df, 0x55d326f3
.long 0x54de360f, 0x55c92385
.long 0x54d1f166, 0x55bf81b6
.long 0x54c643dc, 0x55b63f32
.long 0x54bb2790, 0x55ad59a1
.long 0x54b096c5, 0x55a4cea4
.long 0x54a68be5, 0x559c9bd9
.long 0x549d0180, 0x5594bedd
.long 0x5493f24c, 0x558d354b
.long 0x548b5926, 0x5585fcbf
.long 0x54833111, 0x557e25af
.long 0x5476ea69, 0x5570ea68
.long 0x546841c1, 0x556442f0
.long 0x545a5f10, 0x55582a98
.long 0x544d398b, 0x554c9cbd
.long 0x5440c8ae, 0x554194c7
.long 0x54350440, 0x55370e2c
.long 0x5429e44f, 0x552d0474
.long 0x541f612f, 0x55237336
.long 0x5415737d, 0x551a561b
.long 0x540c1417, 0x5511a8e1
.long 0x54033c22, 0x5509675a
.long 0x53f5ca07, 0x55018d6b
.long 0x53e610c3, 0x54f42e22
.long 0x53d74046, 0x54e600c0
.long 0x53c94cd8, 0x54d88b05
.long 0x53bc2b3a, 0x54cbc574
.long 0x53afd0a5, 0x54bfa8c4
.long 0x53a432c3, 0x54b42ddb
.long 0x539947af, 0x54a94dcf
.long 0x538f05f3, 0x549f01ec
.long 0x5385647e, 0x549543ae
.long 0x5378b557, 0x548c0cc2
.long 0x5367c06a, 0x5483570a
.long 0x5357da71, 0x54763931
.long 0x5348f45f, 0x5466af65
.long 0x533affda, 0x5458059c
.long 0x532def39, 0x544a3127
.long 0x5321b57a, 0x543d27b5
.long 0x5316463d, 0x5430df57
.long 0x530b95bd, 0x54254e7b
.long 0x530198cc, 0x541a6bee
.long 0x52f08999, 0x54102ed6
.long 0x52df1f58, 0x54068eb5
.long 0x52cedfb9, 0x53fb06c5
.long 0x52bfb8a0, 0x53ea0a1d
.long 0x52b198e5, 0x53da1876
.long 0x52a4704e, 0x53cb237a
.long 0x52982f7c, 0x53bd1d6f
.long 0x528cc7eb, 0x53aff93b
.long 0x52822be3, 0x53a3aa56
.long 0x52709cde, 0x539824ce
.long 0x525e46a9, 0x538d5d3c
.long 0x524d3e18, 0x538348c6
.long 0x523d6d6f, 0x5373ba24
.long 0x522ec035, 0x53622096
.long 0x52212321, 0x5351b22a
.long 0x52148413, 0x53425d18
.long 0x5208d1fc, 0x53341080
.long 0x51fbf9ac, 0x5326bc5e
.long 0x51e7eb29, 0x531a5183
.long 0x51d55c2d, 0x530ec18c
.long 0x51c43238, 0x5303feda
.long 0x51b45472, 0x52f3f919
.long 0x51a5ab93, 0x52e15ce8
.long 0x519821ce, 0x52d0121b
.long 0x518ba2bc, 0x52c002f8
.long 0x51801b49, 0x52b11afe
.long 0x516af33c, 0x52a346d7
.long 0x51575a21, 0x5296744c
.long 0x51454c24, 0x528a9237
.long 0x5134ac3b, 0x527f20e7
.long 0x51255f51, 0x526abfa9
.long 0x51174c27, 0x5257e42f
.long 0x510a5b3b, 0x524673af
.long 0x50fced50, 0x52365507
.long 0x50e7141d, 0x522770a1
.long 0x50d304fc, 0x5219b066
.long 0x50c09cb5, 0x520cffa3
.long 0x50afba92, 0x52014af8
.long 0x50a04037, 0x51ed0088
.long 0x50921177, 0x51d91d2d
.long 0x50851430, 0x51c6cc35
.long 0x50726058, 0x51b5f011
.long 0x505c9dfa, 0x51a66d2a
.long 0x5048b7be, 0x519829c8
.long 0x50368738, 0x518b0df2
.long 0x5025e8e0, 0x517e06ab
.long 0x5016bbdf, 0x5167ea53
.long 0x5008e1df, 0x5153a034
.long 0x4ff87dc3, 0x5141045e
.long 0x4fe1721f, 0x512ff56d
.long 0x4fcc712a, 0x51205461
.long 0x4fb94efb, 0x51120475
.long 0x4fa7e31e, 0x5104eafc
.long 0x4f980855, 0x50f1de7a
.long 0x4f899c5c, 0x50dbf4a3
.long 0x4f78ff60, 0x50c7ee0e
.long 0x4f612ab5, 0x50b5a381
.long 0x4f4b8583, 0x50a4f0bc
.long 0x4f37deef, 0x5095b43b
.long 0x4f260a27, 0x5087cf0e
.long 0x4f15de0f, 0x5076494d
.long 0x4f0734f9, 0x505f355e
.long 0x4ef3d8c4, 0x504a31bf
.long 0x4edbc95e, 0x503711b4
.long 0x4ec601e9, 0x5025ac0e
.long 0x4eb24d81, 0x5015dae6
.long 0x4ea07bca, 0x50077b62
.long 0x4e906098, 0x4ff4daf4
.long 0x4e81d395, 0x4fdd2782
.long 0x4e695fe3, 0x4fc7a666
.long 0x4e51a834, 0x4fb42611
.long 0x4e3c42e7, 0x4fa2790f
.long 0x4e28f835, 0x4f9275b9
.long 0x4e179555, 0x4f83f5e9
.long 0x4e07ec0b, 0x4f6dad68
.long 0x4df3a498, 0x4f55f04f
.long 0x4dda43ba, 0x4f407a1d
.long 0x4dc37003, 0x4f2d1570
.long 0x4daeea58, 0x4f1b9188
.long 0x4d9c7974, 0x4f0bc1e7
.long 0x4d8be963, 0x4efafbec
.long 0x4d7a160c, 0x4ee14167
.long 0x4d5f6759, 0x4eca10ce
.long 0x4d477955, 0x4eb52cb9
.long 0x4d3205fb, 0x4ea25d43
.long 0x4d1ecdf3, 0x4e916f95
.long 0x4d0d97f2, 0x4e823575
.long 0x4cfc6061, 0x4e6909cc
.long 0x4ce0cfd4, 0x4e506f88
.long 0x4cc829c6, 0x4e3a56e4
.long 0x4cb221ff, 0x4e268119
.long 0x4c9e73c2, 0x4e14b538
.long 0x4c8ce119, 0x4e04bfb1
.long 0x4c7a6462, 0x4dece39b
.long 0x4c5e6987, 0x4dd34296
.long 0x4c457726, 0x4dbc4fdc
.long 0x4c2f3bdb, 0x4da7c64b
.long 0x4c1b6e79, 0x4d956771
.long 0x4c09cd3e, 0x4d84fae8
.long 0x4bf43a38, 0x4d6c9b8f
.long 0x4bd85225, 0x4d52644f
.long 0x4bbf8325, 0x4d3afd47
.long 0x4ba977f0, 0x4d261be0
.long 0x4b95e415, 0x4d137cf0
.long 0x4b848320, 0x4d02e402
.long 0x4b6a2f8b, 0x4ce8356b
.long 0x4b4ed659, 0x4ccde050
.long 0x4b369893, 0x4cb670d5
.long 0x4b211e8a, 0x4ca19816
.long 0x4b0e19e7, 0x4c8f0f43
.long 0x4afa896f, 0x4c7d2da8
.long 0x4adcc11e, 0x4c5febab
.long 0x4ac26b7f, 0x4c45f27c
.long 0x4aab2549, 0x4c2ee6b3
.long 0x4a969605, 0x4c1a767c
.long 0x4a846ee9, 0x4c0858a4
.long 0x4a68d3a8, 0x4bf09770
.long 0x4a4c90c6, 0x4bd42a75
.long 0x4a33a635, 0x4bbb01dd
.long 0x4a1db15b, 0x4ba4c066
.long 0x4a0a5aa0, 0x4b9112d9
.long 0x49f2a881, 0x4b7f5e08
.long 0x49d4b277, 0x4b60a591
.long 0x49ba58bd, 0x4b45867e
.long 0x49a32ed5, 0x4b2d97f3
.long 0x498ed4a2, 0x4b187c9e
.long 0x4979ea08, 0x4b05e186
.long 0x495a8951, 0x4aeaf9d4
.long 0x493f01d9, 0x4ace1a8c
.long 0x4926ddcc, 0x4ab4b0dc
.long 0x4911b50d, 0x4a9e558a
.long 0x48fe574a, 0x4a8aad05
.long 0x48dde0d0, 0x4a72cc48
.long 0x48c1776e, 0x4a547203
.long 0x48a89cd3, 0x4a39cbe3
.long 0x4892e1aa, 0x4a226937
.long 0x487fc7c2, 0x4a0de652
.long 0x485e9a3a, 0x49f7d629
.long 0x4841a2c3, 0x49d85345
.long 0x48285bae, 0x49bcba74
.long 0x48124f79, 0x49a49254
.long 0x47fe2dc4, 0x498f6fd2
.long 0x47dcae77, 0x4979e90c
.long 0x47bf81dd, 0x49599a7d
.long 0x47a61c4e, 0x493d616c
.long 0x47900357, 0x4924bcd6
.long 0x47799750, 0x490f3b3e
.long 0x47582e7f, 0x48f8f1a9
.long 0x473b27a3, 0x48d83bc6
.long 0x4721f2b6, 0x48bbbab7
.long 0x470c11c0, 0x48a2e733
.long 0x46f22d4c, 0x488d4a80
.long 0x46d14266, 0x4874f900
.long 0x46b4bacb, 0x485443df
.long 0x469c03d6, 0x4837d5b2
.long 0x46869d9b, 0x481f2272
.long 0x46683120, 0x4809af94
.long 0x46482706, 0x47ee23cf
.long 0x462c7395, 0x47cdd76a
.long 0x46148366, 0x47b1d636
.long 0x45ffac6d, 0x4799912d
.long 0x45dbf8fa, 0x47848b78
.long 0x45bd2a88, 0x4764b060
.long 0x45a298a1, 0x474530ba
.long 0x458bb0fc, 0x4729f27c
.long 0x456fe94b, 0x47126579
.long 0x454deaf8, 0x46fc1860
.long 0x4530a808, 0x46d8f2d6
.long 0x45177b00, 0x46ba9c63
.long 0x4501d48c, 0x46a06fec
.long 0x44de7135, 0x4689de04
.long 0x44be77a1, 0x466cd440
.long 0x44a302b0, 0x464b505a
.long 0x448b71e5, 0x462e74d6
.long 0x446e7534, 0x46159f2a
.long 0x444bca2d, 0x46004280
.long 0x442e1414, 0x45dbc9bf
.long 0x4414a0a8, 0x45bc396d
.long 0x43fdac7d, 0x45a11d60
.long 0x43d860d4, 0x4589d7a8
.long 0x43b87a3a, 0x456bbf86
.long 0x439d3454, 0x45497f9a
.long 0x4385e630, 0x452c23f7
.long 0x4363fd06, 0x4512fcf7
.long 0x434200db, 0x44fae63c
.long 0x4325014d, 0x44d607b0
.long 0x430c4623, 0x44b67d4e
.long 0x42ee627d, 0x449b855c
.long 0x42ca7603, 0x44847920
.long 0x42abde4b, 0x44619261
.long 0x4291d40d, 0x443ff482
.long 0x4277593c, 0x442344bf
.long 0x4251abca, 0x440acd1c
.long 0x4231a5c0, 0x43ebe2ca
.long 0x42167152, 0x43c85727
.long 0x41feaf84, 0x43aa1178
.long 0x41d779e7, 0x43904cc0
.long 0x41b63731, 0x4374c081
.long 0x419a03db, 0x434f7703
.long 0x41821dd0, 0x432fc5c4
.long 0x415bbf2e, 0x4314d94a
.long 0x41397862, 0x42fbf99c
.long 0x411c770c, 0x42d52bb9
.long 0x4103eeb4, 0x42b4411f
.long 0x40de62c7, 0x429858a7
.long 0x40bb5652, 0x4280b23e
.long 0x409dbc89, 0x4259543f
.long 0x4084bfc1, 0x42376979
.long 0x405f551f, 0x421ab66b
.long 0x403bc5f1, 0x420270af
.long 0x401dccc2, 0x41dbd820
.long 0x40048c16, 0x41b92c31
.long 0x3fde907e, 0x419be496
.long 0x3fbac490, 0x41832dcb
.long 0x3f9ca73d, 0x415ca86a
.long 0x3f8354cb, 0x41397eca
.long 0x3f5c1947, 0x411bdc1e
.long 0x3f3857fa, 0x4102e528
.long 0x3f1a529e, 0x40dbc03f
.long 0x3f0120ef, 0x40b85f58
.long 0x3ed7fdc8, 0x409a9d36
.long 0x3eb48e3e, 0x40819878
.long 0x3e96dc65, 0x4059250b
.long 0x3e7bfa7c, 0x4035d48d
.long 0x3e5255b2, 0x40182f4c
.long 0x3e2f7d27, 0x3ffe9ef1
.long 0x3e12586c, 0x3fd4e64a
.long 0x3df3f750, 0x3fb1ed7c
.long 0x3dcb4137, 0x3f94a0bb
.long 0x3da94169, 0x3f782f41
.long 0x3d8ce028, 0x3f4f1cee
.long 0x3d6a654e, 0x3f2cc100
.long 0x3d42e7d6, 0x3f100645
.long 0x3d21fd99, 0x3ef00749
.long 0x3d0691c1, 0x3ec7ea70
.long 0x3cdf78d9, 0x3ea66ce0
.long 0x3cb976f2, 0x3e8a7a45
.long 0x3c99d8e5, 0x3e665575
.long 0x3c7f1de8, 0x3e3f778a
.long 0x3c536be9, 0x3e1f14b2
.long 0x3c2f2031, 0x3e041bb4
.long 0x3c10fdbd, 0x3ddb4f88
.long 0x3beff7df, 0x3db5f2ba
.long 0x3bc67c0b, 0x3d96e08d
.long 0x3ba417d4, 0x3d7a1a1e
.long 0x3b879862, 0x3d4f30a7
.long 0x3b5ffc37, 0x3d2b8e9a
.long 0x3b38e85b, 0x3d0dfba1
.long 0x3b1892fb, 0x3ceae636
.long 0x3afbaaf5, 0x3cc2374f
.long 0x3acf75d5, 0x3ca08024
.long 0x3aaaef8c, 0x3c8492c0
.long 0x3a8cc60c, 0x3c5ae75b
.long 0x3a67c170, 0x3c34a340
.long 0x3a3ead7b, 0x3c14fcf4
.long 0x3a1cce14, 0x3bf5a5cf
.long 0x3a00e32d, 0x3bca68ef
.long 0x39d3c741, 0x3ba6b383
.long 0x39ade7c9, 0x3b8939a3
.long 0x398ebc8e, 0x3b61cfd0
.long 0x396a31ee, 0x3b39b3ce
.long 0x394008fe, 0x3b18a48b
.long 0x391d638e, 0x3afad08d
.long 0x3900ee61, 0x3acdf654
.long 0x38d322ce, 0x3aa90c4d
.long 0x38accb15, 0x3a8aaea4
.long 0x388d5872, 0x3a636e45
.long 0x3867216f, 0x3a3a6544
.long 0x383ce218, 0x3a18b095
.long 0x381a4894, 0x39fa092d
.long 0x37fbec07, 0x39cc9f41
.long 0x37cd9386, 0x39a76003
.long 0x37a7acfd, 0x3988d758
.long 0x3788b256, 0x395fa559
.long 0x375ec64b, 0x3936ab0f
.long 0x373570b9, 0x39152037
.long 0x3713b43a, 0x38f35dd3
.long 0x36f05d69, 0x38c67c0a
.long 0x36c37bc4, 0x38a1ccfc
.long 0x369ee7d7, 0x3883d518
.long 0x36811c14, 0x3856b981
.long 0x3651b337, 0x382ec87a
.long 0x362a371c, 0x380e33a7
.long 0x360a1932, 0x37e74660
.long 0x35dff98b, 0x37bbfab1
.long 0x35b589f6, 0x3798b6d4
.long 0x3593127a, 0x37780230
.long 0x356e2ef2, 0x37494905
.long 0x3540c69d, 0x372348d9
.long 0x351bf310, 0x370464b5
.long 0x34fc31bf, 0x36d69685
.long 0x34cbd1ee, 0x36add231
.long 0x34a4a520, 0x368cbaf0
.long 0x3484ef72, 0x3663c449
.long 0x34568fd0, 0x363839e2
.long 0x342d122f, 0x3614efa4
.long 0x340b893c, 0x35f0b1df
.long 0x33e0e3a6, 0x35c265d8
.long 0x33b5237a, 0x359cede7
.long 0x3391d42c, 0x357d3dc9
.long 0x336ab0cb, 0x354c3b50
.long 0x333cc25b, 0x3524a05e
.long 0x3317be62, 0x3504a304
.long 0x32f3db16, 0x34d59f46
.long 0x32c3d8af, 0x34abf19f
.long 0x329d3680, 0x348a545b
.long 0x327c475d, 0x345e76f3
.long 0x324a5141, 0x3432cc8c
.long 0x32222c05, 0x340fa24c
.long 0x3201edfc, 0x33e6a843
.long 0x31d01833, 0x33b91cba
.long 0x31a68f97, 0x33947ce5
.long 0x318540a5, 0x336e1a5b
.long 0x31551b65, 0x333eced8
.long 0x312a535b, 0x3318d52b
.long 0x31081119, 0x32f4b613
.long 0x30d94acf, 0x32c3d10c
.long 0x30ad6b36, 0x329c9d69
.long 0x308a563f, 0x327a666d
.long 0x305c98dc, 0x32481354
.long 0x302fcd12, 0x321fc975
.long 0x300c08aa, 0x31ff1904
.long 0x2fdefaaf, 0x31cb87d8
.long 0x2fb17113, 0x31a24ef3
.long 0x2f8d22bb, 0x31815f38
.long 0x2f60685f, 0x314e2339
.long 0x2f3251c3, 0x3124258f
.long 0x2f0da0c6, 0x3102a54d
.long 0x2ee0dd25, 0x30cfdcca
.long 0x2eb26c30, 0x30a54727
.long 0x2e8d8121, 0x30835a7f
.long 0x2e605773, 0x3050aec3
.long 0x2e31bffd, 0x3025afef
.long 0x2e0cc431, 0x30037c6d
.long 0x2dded902, 0x2fd09664
.long 0x2db04f61, 0x2fa55e85
.long 0x2d8b6c69, 0x2f830aa5
.long 0x2d5c66c4, 0x2f4f93fd
.long 0x2d2e1f21, 0x2f2453fe
.long 0x2d097e36, 0x2f0206a5
.long 0x2cd908c8, 0x2ecdaaf4
.long 0x2cab3670, 0x2ea293d6
.long 0x2c86fff0, 0x2e8073d6
.long 0x2c54ca13, 0x2e4ae1ac
.long 0x2c279ec9, 0x2e2023e7
.long 0x2c03f9af, 0x2dfcaee7
.long 0x2bcfb860, 0x2dc74167
.long 0x2ba363bd, 0x2d9d0c41
.long 0x2b807524, 0x2d7770ea
.long 0x2b49e3d6, 0x2d42d60c
.long 0x2b1e92b5, 0x2d195702
.long 0x2af8fac8, 0x2cf13ec4
.long 0x2ac35eb5, 0x2cbdaded
.long 0x2a993aaa, 0x2c95101b
.long 0x2a703d5a, 0x2c6a2c50
.long 0x2a3c3cf6, 0x2c37d975
.long 0x2a136bd8, 0x2c104516
.long 0x29e6cc51, 0x2be24fc5
.long 0x29b493e1, 0x2bb16ad5
.long 0x298d376b, 0x2b8b04c7
.long 0x295cc356, 0x2b59c147
.long 0x292c79ad, 0x2b2a759f
.long 0x2906af30, 0x2b055f07
.long 0x28d23edb, 0x2ad09a6a
.long 0x28a4050c, 0x2aa30e6d
.long 0x287fca72, 0x2a7ec8c1
.long 0x28475b9c, 0x2a46f5b1
.long 0x281b4cca, 0x2a1b4a74
.long 0x27f1d725, 0x29f24b83
.long 0x27bc361f, 0x29bcee14
.long 0x27926764, 0x29933f23
.long 0x2763a7e2, 0x29656858
.long 0x2730ea36, 0x29329e84
.long 0x27096aae, 0x290b01c6
.long 0x26d55ed6, 0x28d840d5
.long 0x26a59297, 0x28a82171
.long 0x26806b7c, 0x2882a722
.long 0x26471c70, 0x284af596
.long 0x261a4874, 0x281d9063
.long 0x25eefab5, 0x27f4865b
.long 0x25b8fef0, 0x27bda5bb
.long 0x258f232d, 0x27930395
.long 0x255d6497, 0x2763d176
.long 0x252b220e, 0x27306e78
.long 0x25043806, 0x270891a3
.long 0x24cc3533, 0x26d35285
.long 0x249d9eab, 0x26a36ab9
.long 0x247333ed, 0x267c9e87
.long 0x243b895c, 0x2643294f
.long 0x24108aa2, 0x2616b2d7
.long 0x23deb305, 0x25e89e19
.long 0x23ab79f7, 0x25b3722d
.long 0x2383f8a5, 0x258a5c5b
.long 0x234b094e, 0x255542a6
.long 0x231c1be0, 0x252445ca
.long 0x22eff061, 0x24fcf3b9
.long 0x22b84dad, 0x24c2a818
.long 0x228d7fe9, 0x2495b90c
.long 0x22592b20, 0x246635db
.long 0x222691fd, 0x2430e58d
.long 0x21ff65e8, 0x2407dd07
.long 0x21c3b3ec, 0x23d09839
.long 0x2195e33f, 0x23a00d5e
.long 0x21657c23, 0x23757e16
.long 0x212f973d, 0x233c2e00
.long 0x210649d6, 0x23102d3f
.long 0x20cd4d83, 0x22dcd18d
.long 0x209cdbfe, 0x22a904b4
.long 0x206f93bd, 0x22814e73
.long 0x2036de68, 0x2245c0eb
.long 0x200b8405, 0x22172479
.long 0x1fd4c713, 0x21e6ec36
.long 0x1fa22d35, 0x21b0523d
.long 0x1f771927, 0x21869086
.long 0x1f3c2718, 0x214d4b0f
.long 0x1f0f32ff, 0x211c85ba
.long 0x1ed9ddc3, 0x20ee8f29
.long 0x1ea5a71b, 0x20b5b53d
.long 0x1e7bc87b, 0x208a5661
.long 0x1e3f4167, 0x205288d5
.long 0x1e11353d, 0x2020208a
.long 0x1ddc631a, 0x1ff3754b
.long 0x1da729d6, 0x1fb8fcbd
.long 0x1d7d76ae, 0x1f8c7d97
.long 0x1d4010bf, 0x1f554a3f
.long 0x1d117833, 0x1f21d3cb
.long 0x1cdc3fc3, 0x1ef57178
.long 0x1ca6a764, 0x1eba0a73
.long 0x1c7c141f, 0x1e8cf23a
.long 0x1c3e8d91, 0x1e5575bf
.long 0x1c0ff968, 0x1e218fb3
.long 0x1bd974f4, 0x1df47139
.long 0x1ba4246f, 0x1db8d48f
.long 0x1b77ad8b, 0x1d8bb00a
.long 0x1b3ac5c9, 0x1d5309be
.long 0x1b0cc6a1, 0x1d1f56ba
.long 0x1ad41c58, 0x1cf07de1
.long 0x1a9fb806, 0x1cb56657
.long 0x1a706b47, 0x1c88c2bc
.long 0x1a34dbfa, 0x1c4e1cba
.long 0x1a07fd09, 0x1c1b3d7d
.long 0x19cc668e, 0x1be9bbfd
.long 0x19998a40, 0x1bafdf73
.long 0x19668edd, 0x1b844540
.long 0x192d054e, 0x1b46dbe6
.long 0x1901c77a, 0x1b156976
.long 0x18c29845, 0x1ae0691f
.long 0x1891d1e0, 0x1aa8720d
.long 0x185a6f34, 0x1a7cc054
.long 0x18238672, 0x1a3d887f
.long 0x17f4b806, 0x1a0e0ecc
.long 0x17b70648, 0x19d4d840
.long 0x1788d12d, 0x199f5fda
.long 0x174c739d, 0x196e8e9b
.long 0x1718afac, 0x193273f8
.long 0x16e3f1ae, 0x19056d4a
.long 0x16aa10bb, 0x18c76cf4
.long 0x167da48f, 0x1894f659
.long 0x163d0e1a, 0x185e6d9a
.long 0x160cd879, 0x1825fb65
.long 0x15d1c1e5, 0x17f7998c
.long 0x159c1df9, 0x17b895e1
.long 0x1568466d, 0x17898a88
.long 0x152cb568, 0x174cdf9b
.long 0x15005b01, 0x1718826b
.long 0x14beb151, 0x16e2f29a
.long 0x148d955e, 0x16a8c6d9
.long 0x14522407, 0x167ae8e3
.long 0x141bdf21, 0x163a6a2d
.long 0x13e71f72, 0x160a6e25
.long 0x13ab44c3, 0x15cd7e87
.long 0x137db4e3, 0x15987319
.long 0x133bd23f, 0x156215a4
.long 0x130afa70, 0x15278fa9
.long 0x12cd92ee, 0x14f840ab
.long 0x1297f777, 0x14b7cfb1
.long 0x1260915e, 0x148807fd
.long 0x1225d8aa, 0x14493e73
.long 0x11f4d72b, 0x1414c97a
.long 0x11b4a474, 0x13dbe665
.long 0x11853669, 0x13a26be2
.long 0x11446065, 0x136fd110
.long 0x1110acc4, 0x1330f593
.long 0x10d51115, 0x13028371
.long 0x109cd187, 0x12c06c14
.long 0x1066ba07, 0x128dc782
.long 0x1029a6c1, 0x1250d3f6
.long 0x0ff95d83, 0x1219b798
.long 0x0fb72d9a, 0x11e230b9
.long 0x0f867e41, 0x11a655c1
.long 0x0f456641, 0x117484a6
.long 0x0f10cb43, 0x1133a328
.long 0x0ed44fd3, 0x1103e85c
.long 0x0e9b94c1, 0x10c19ffd
.long 0x0e63e84a, 0x108e0a3d
.long 0x0e26d8e4, 0x10504b66
.long 0x0df42c6c, 0x1018a6f6
.long 0x0db294f0, 0x0fdfa367
.long 0x0d828bdd, 0x0fa3bcb5
.long 0x0d3ec540, 0x0f6fa4d1
.long 0x0d0b5230, 0x0f2f48cc
.long 0x0ccb653b, 0x0f00259a
.long 0x0c946596, 0x0ebb479f
.long 0x00000000, 0x00000000
.align 32
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _AbsMask */
.align 32
.long 0x41210000, 0x41210000, 0x41210000, 0x41210000, 0x41210000, 0x41210000, 0x41210000, 0x41210000 /* _MaxThreshold=644.0/64.0 */
.align 32
.long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* sign mask */
.align 32
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 /* 1.0, used when _VLANG_FMA_AVAILABLE is defined */
.align 32
.long 0x48000000, 0x48000000, 0x48000000, 0x48000000, 0x48000000, 0x48000000, 0x48000000, 0x48000000 /* SRound */
.align 32
.long 0x27800000, 0x27800000, 0x27800000, 0x27800000, 0x27800000, 0x27800000, 0x27800000, 0x27800000 /* _TwoM48 */
// polynomial coefficients
.align 32
.long 0x3e08a7ca, 0x3e08a7ca, 0x3e08a7ca, 0x3e08a7ca, 0x3e08a7ca, 0x3e08a7ca, 0x3e08a7ca, 0x3e08a7ca // poly1[0]
.align 32
.long 0xbeaacf22, 0xbeaacf22, 0xbeaacf22, 0xbeaacf22, 0xbeaacf22, 0xbeaacf22, 0xbeaacf22, 0xbeaacf22 // poly1[1]
.align 32
.long 0x3f005b36, 0x3f005b36, 0x3f005b36, 0x3f005b36, 0x3f005b36, 0x3f005b36, 0x3f005b36, 0x3f005b36 // poly3[0]
.align 32
.long 0xbeab4edb, 0xbeab4edb, 0xbeab4edb, 0xbeab4edb, 0xbeab4edb, 0xbeab4edb, 0xbeab4edb, 0xbeab4edb // poly3[1]
.align 32
.long 0x3f2aaaa6, 0x3f2aaaa6, 0x3f2aaaa6, 0x3f2aaaa6, 0x3f2aaaa6, 0x3f2aaaa6, 0x3f2aaaa6, 0x3f2aaaa6 // poly1[2]
.align 32
.long 0xbf7ffffc, 0xbf7ffffc, 0xbf7ffffc, 0xbf7ffffc, 0xbf7ffffc, 0xbf7ffffc, 0xbf7ffffc, 0xbf7ffffc // poly1[3]
.align 32
.long 0x4120DDFB, 0x4120DDFB, 0x4120DDFB, 0x4120DDFB, 0x4120DDFB, 0x4120DDFB, 0x4120DDFB, 0x4120DDFB /* UF_Threshold */
.align 32
.type __svml_serfc_data_internal, @object
.size __svml_serfc_data_internal, .-__svml_serfc_data_internal
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