1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
|
/* Function cbrtf 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:
*
* 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
*/
#define _sRcp 0
#define _sCbrtHL 128
#define _sP2 512
#define _sP1 544
#define _sMantissaMask 576
#define _sMantissaMask1 608
#define _sExpMask 640
#define _sExpMask1 672
#define _iRcpIndexMask 704
#define _iBExpMask 736
#define _iSignMask 768
#define _iBias 800
#define _iOne 832
#define _i555 864
#define _iAbsMask 896
#define _iSubConst 928
#define _iCmpConst 960
#include <sysdep.h>
.text
.section .text.avx2,"ax",@progbits
ENTRY(_ZGVdN8v_cbrtf_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
/* Load reciprocal value */
lea __svml_scbrt_data_internal(%rip), %rdx
vmovaps %ymm0, %ymm5
/*
* Load constants
* Reciprocal index calculation
*/
vpsrld $16, %ymm5, %ymm3
vpand _iRcpIndexMask+__svml_scbrt_data_internal(%rip), %ymm3, %ymm4
vextractf128 $1, %ymm4, %xmm15
vmovd %xmm4, %eax
vmovd %xmm15, %r8d
vpextrd $1, %xmm15, %r9d
vpextrd $2, %xmm15, %r10d
vpextrd $3, %xmm15, %r11d
movslq %r8d, %r8
movslq %r9d, %r9
movslq %r10d, %r10
movslq %r11d, %r11
vpextrd $1, %xmm4, %ecx
vpextrd $2, %xmm4, %esi
vpextrd $3, %xmm4, %edi
movslq %eax, %rax
movslq %ecx, %rcx
movslq %esi, %rsi
movslq %edi, %rdi
vmovd (%rdx,%r8), %xmm13
vmovd (%rdx,%r9), %xmm14
vmovd (%rdx,%r10), %xmm1
vmovd (%rdx,%r11), %xmm0
vpunpckldq %xmm14, %xmm13, %xmm2
vpunpckldq %xmm0, %xmm1, %xmm13
/* Get signed biased exponent */
vpsrld $7, %ymm3, %ymm0
vmovd (%rdx,%rax), %xmm6
vmovd (%rdx,%rcx), %xmm7
vmovd (%rdx,%rsi), %xmm8
vmovd (%rdx,%rdi), %xmm9
vpunpckldq %xmm7, %xmm6, %xmm10
vpunpckldq %xmm9, %xmm8, %xmm11
vpunpcklqdq %xmm11, %xmm10, %xmm12
vpunpcklqdq %xmm13, %xmm2, %xmm6
vandps _iAbsMask+__svml_scbrt_data_internal(%rip), %ymm5, %ymm3
/* Argument reduction */
vandps _sMantissaMask+__svml_scbrt_data_internal(%rip), %ymm5, %ymm8
vandps _sMantissaMask1+__svml_scbrt_data_internal(%rip), %ymm5, %ymm9
vpsubd _iSubConst+__svml_scbrt_data_internal(%rip), %ymm3, %ymm7
vorps _sExpMask+__svml_scbrt_data_internal(%rip), %ymm8, %ymm10
vorps _sExpMask1+__svml_scbrt_data_internal(%rip), %ymm9, %ymm11
/* r=y-y` */
vsubps %ymm11, %ymm10, %ymm15
/* Biased exponent-1 */
vpand _iSignMask+__svml_scbrt_data_internal(%rip), %ymm0, %ymm8
vpcmpgtd _iCmpConst+__svml_scbrt_data_internal(%rip), %ymm7, %ymm2
vmovmskps %ymm2, %eax
vinsertf128 $1, %xmm6, %ymm12, %ymm14
/* Get absolute biased exponent */
vpand _iBExpMask+__svml_scbrt_data_internal(%rip), %ymm0, %ymm6
/* r=(y-y`)*rcp_table(y`) */
vmulps %ymm15, %ymm14, %ymm1
vpsubd _iOne+__svml_scbrt_data_internal(%rip), %ymm6, %ymm10
/*
* Calculate exponent/3
* i555Exp=(2^{12}-1)/3*exponent
*/
vpmulld _i555+__svml_scbrt_data_internal(%rip), %ymm6, %ymm3
/* Get K (exponent=3*k+j) */
vpsrld $12, %ymm3, %ymm13
/* Get J */
vpsubd %ymm13, %ymm10, %ymm11
/* Add 2/3*(bias-1)+1 to (k+1/3*(bias-1)) */
vpaddd _iBias+__svml_scbrt_data_internal(%rip), %ymm13, %ymm7
vpsubd %ymm13, %ymm11, %ymm12
/* Attach sign to exponent */
vpor %ymm8, %ymm7, %ymm9
vpsubd %ymm13, %ymm12, %ymm14
vpslld $23, %ymm9, %ymm0
/* Get 128*J */
vpslld $7, %ymm14, %ymm15
/* iCbrtIndex=4*l+128*j */
vpaddd %ymm15, %ymm4, %ymm4
/* Zero index if callout expected */
vpandn %ymm4, %ymm2, %ymm4
/* Load Cbrt table Hi & Lo values */
vmovd %xmm4, %ecx
vextractf128 $1, %ymm4, %xmm13
vpextrd $1, %xmm4, %esi
movslq %ecx, %rcx
movslq %esi, %rsi
vmovd %xmm13, %r9d
vmovd 128(%rdx,%rcx), %xmm2
vpextrd $2, %xmm4, %edi
vpextrd $3, %xmm4, %r8d
vmovd 128(%rdx,%rsi), %xmm3
vpextrd $1, %xmm13, %r10d
vpextrd $2, %xmm13, %ecx
vpextrd $3, %xmm13, %esi
movslq %edi, %rdi
movslq %r8d, %r8
movslq %r9d, %r9
movslq %r10d, %r10
movslq %ecx, %rcx
movslq %esi, %rsi
vmovd 128(%rdx,%rdi), %xmm6
vmovd 128(%rdx,%r8), %xmm7
vmovd 128(%rdx,%r9), %xmm11
vmovd 128(%rdx,%r10), %xmm12
vmovd 128(%rdx,%rcx), %xmm14
vmovd 128(%rdx,%rsi), %xmm15
vpunpckldq %xmm3, %xmm2, %xmm8
vpunpckldq %xmm7, %xmm6, %xmm9
vpunpckldq %xmm12, %xmm11, %xmm4
vpunpckldq %xmm15, %xmm14, %xmm11
vpunpcklqdq %xmm9, %xmm8, %xmm10
vpunpcklqdq %xmm11, %xmm4, %xmm2
vinsertf128 $1, %xmm2, %ymm10, %ymm3
/* sCbrtHi *= 2^k */
vmulps %ymm3, %ymm0, %ymm2
/* Polynomial: p1+r*(p2*r+r*(p3+r*p4)) */
vmovups _sP2+__svml_scbrt_data_internal(%rip), %ymm0
vfmadd213ps _sP1+__svml_scbrt_data_internal(%rip), %ymm1, %ymm0
/* T`*r */
vmulps %ymm2, %ymm1, %ymm1
/* (T`*r)*P */
vmulps %ymm1, %ymm0, %ymm0
/*
* T`*r*P+D`
* result = T`+(T`*r*P+D`)
*/
vaddps %ymm0, %ymm2, %ymm0
testl %eax, %eax
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 eax ymm0 ymm5
/* 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 %ymm5, 32(%rsp)
vmovups %ymm0, 64(%rsp)
# LOE rbx r12 r13 r14 r15 eax ymm0
xorl %edx, %edx
# 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 %edx, %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 %eax, %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
movss 32(%rsp,%r14,4), %xmm0
call cbrtf@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 64(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN8v_cbrtf_avx2)
.section .rodata, "a"
.align 32
#ifdef __svml_scbrt_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct
{
__declspec(align(32)) VUINT32 _sRcp[32][1];
__declspec(align(32)) VUINT32 _sCbrtHL[96][1];
__declspec(align(32)) VUINT32 _sP2[8][1];
__declspec(align(32)) VUINT32 _sP1[8][1];
__declspec(align(32)) VUINT32 _sMantissaMask[8][1];
__declspec(align(32)) VUINT32 _sMantissaMask1[8][1];
__declspec(align(32)) VUINT32 _sExpMask[8][1];
__declspec(align(32)) VUINT32 _sExpMask1[8][1];
__declspec(align(32)) VUINT32 _iRcpIndexMask[8][1];
__declspec(align(32)) VUINT32 _iBExpMask[8][1];
__declspec(align(32)) VUINT32 _iSignMask[8][1];
__declspec(align(32)) VUINT32 _iBias[8][1];
__declspec(align(32)) VUINT32 _iOne[8][1];
__declspec(align(32)) VUINT32 _i555[8][1];
__declspec(align(32)) VUINT32 _iAbsMask[8][1];
__declspec(align(32)) VUINT32 _iSubConst[8][1];
__declspec(align(32)) VUINT32 _iCmpConst[8][1];
} __svml_scbrt_data_internal;
#endif
__svml_scbrt_data_internal:
/*== _sRcp ==*/
.long 0xBF7C0FC1 /* (1/(1+0/32+1/64)) = -.984615 */
.long 0xBF74898D /* (1/(1+1/32+1/64)) = -.955224 */
.long 0xBF6D7304 /* (1/(1+2/32+1/64)) = -.927536 */
.long 0xBF66C2B4 /* (1/(1+3/32+1/64)) = -.901408 */
.long 0xBF607038 /* (1/(1+4/32+1/64)) = -.876712 */
.long 0xBF5A740E /* (1/(1+5/32+1/64)) = -.853333 */
.long 0xBF54C77B /* (1/(1+6/32+1/64)) = -.831169 */
.long 0xBF4F6475 /* (1/(1+7/32+1/64)) = -.810127 */
.long 0xBF4A4588 /* (1/(1+8/32+1/64)) = -.790123 */
.long 0xBF4565C8 /* (1/(1+9/32+1/64)) = -.771084 */
.long 0xBF40C0C1 /* (1/(1+10/32+1/64)) = -.752941 */
.long 0xBF3C5264 /* (1/(1+11/32+1/64)) = -.735632 */
.long 0xBF381703 /* (1/(1+12/32+1/64)) = -.719101 */
.long 0xBF340B41 /* (1/(1+13/32+1/64)) = -.703297 */
.long 0xBF302C0B /* (1/(1+14/32+1/64)) = -.688172 */
.long 0xBF2C7692 /* (1/(1+15/32+1/64)) = -.673684 */
.long 0xBF28E83F /* (1/(1+16/32+1/64)) = -.659794 */
.long 0xBF257EB5 /* (1/(1+17/32+1/64)) = -.646465 */
.long 0xBF2237C3 /* (1/(1+18/32+1/64)) = -.633663 */
.long 0xBF1F1166 /* (1/(1+19/32+1/64)) = -.621359 */
.long 0xBF1C09C1 /* (1/(1+20/32+1/64)) = -.609524 */
.long 0xBF191F1A /* (1/(1+21/32+1/64)) = -.598131 */
.long 0xBF164FDA /* (1/(1+22/32+1/64)) = -.587156 */
.long 0xBF139A86 /* (1/(1+23/32+1/64)) = -.576577 */
.long 0xBF10FDBC /* (1/(1+24/32+1/64)) = -.566372 */
.long 0xBF0E7835 /* (1/(1+25/32+1/64)) = -.556522 */
.long 0xBF0C08C1 /* (1/(1+26/32+1/64)) = -.547009 */
.long 0xBF09AE41 /* (1/(1+27/32+1/64)) = -.537815 */
.long 0xBF0767AB /* (1/(1+28/32+1/64)) = -.528926 */
.long 0xBF053408 /* (1/(1+29/32+1/64)) = -.520325 */
.long 0xBF03126F /* (1/(1+30/32+1/64)) = -.512 */
.long 0xBF010204 /* (1/(1+31/32+1/64)) = -.503937 */
/*== _sCbrtHL ==*/
.align 32
.long 0x3F80A9C9 /* HI((2^0*(1+0/32+1/64))^(1/3)) = 1.005181 */
.long 0x3F81F833 /* HI((2^0*(1+1/32+1/64))^(1/3)) = 1.015387 */
.long 0x3F834007 /* HI((2^0*(1+2/32+1/64))^(1/3)) = 1.025391 */
.long 0x3F848194 /* HI((2^0*(1+3/32+1/64))^(1/3)) = 1.035204 */
.long 0x3F85BD25 /* HI((2^0*(1+4/32+1/64))^(1/3)) = 1.044835 */
.long 0x3F86F300 /* HI((2^0*(1+5/32+1/64))^(1/3)) = 1.054291 */
.long 0x3F882365 /* HI((2^0*(1+6/32+1/64))^(1/3)) = 1.06358 */
.long 0x3F894E90 /* HI((2^0*(1+7/32+1/64))^(1/3)) = 1.07271 */
.long 0x3F8A74B9 /* HI((2^0*(1+8/32+1/64))^(1/3)) = 1.081687 */
.long 0x3F8B9615 /* HI((2^0*(1+9/32+1/64))^(1/3)) = 1.090518 */
.long 0x3F8CB2D4 /* HI((2^0*(1+10/32+1/64))^(1/3)) = 1.099207 */
.long 0x3F8DCB24 /* HI((2^0*(1+11/32+1/64))^(1/3)) = 1.107762 */
.long 0x3F8EDF31 /* HI((2^0*(1+12/32+1/64))^(1/3)) = 1.116186 */
.long 0x3F8FEF22 /* HI((2^0*(1+13/32+1/64))^(1/3)) = 1.124485 */
.long 0x3F90FB1F /* HI((2^0*(1+14/32+1/64))^(1/3)) = 1.132664 */
.long 0x3F92034C /* HI((2^0*(1+15/32+1/64))^(1/3)) = 1.140726 */
.long 0x3F9307CA /* HI((2^0*(1+16/32+1/64))^(1/3)) = 1.148675 */
.long 0x3F9408B9 /* HI((2^0*(1+17/32+1/64))^(1/3)) = 1.156516 */
.long 0x3F950638 /* HI((2^0*(1+18/32+1/64))^(1/3)) = 1.164252 */
.long 0x3F960064 /* HI((2^0*(1+19/32+1/64))^(1/3)) = 1.171887 */
.long 0x3F96F759 /* HI((2^0*(1+20/32+1/64))^(1/3)) = 1.179423 */
.long 0x3F97EB2F /* HI((2^0*(1+21/32+1/64))^(1/3)) = 1.186865 */
.long 0x3F98DC01 /* HI((2^0*(1+22/32+1/64))^(1/3)) = 1.194214 */
.long 0x3F99C9E5 /* HI((2^0*(1+23/32+1/64))^(1/3)) = 1.201474 */
.long 0x3F9AB4F2 /* HI((2^0*(1+24/32+1/64))^(1/3)) = 1.208647 */
.long 0x3F9B9D3D /* HI((2^0*(1+25/32+1/64))^(1/3)) = 1.215736 */
.long 0x3F9C82DA /* HI((2^0*(1+26/32+1/64))^(1/3)) = 1.222743 */
.long 0x3F9D65DD /* HI((2^0*(1+27/32+1/64))^(1/3)) = 1.229671 */
.long 0x3F9E4659 /* HI((2^0*(1+28/32+1/64))^(1/3)) = 1.236522 */
.long 0x3F9F245F /* HI((2^0*(1+29/32+1/64))^(1/3)) = 1.243297 */
.long 0x3FA00000 /* HI((2^0*(1+30/32+1/64))^(1/3)) = 1.25 */
.long 0x3FA0D94C /* HI((2^0*(1+31/32+1/64))^(1/3)) = 1.256631 */
.long 0x3FA21B02 /* HI((2^1*(1+0/32+1/64))^(1/3)) = 1.266449 */
.long 0x3FA3C059 /* HI((2^1*(1+1/32+1/64))^(1/3)) = 1.279307 */
.long 0x3FA55D61 /* HI((2^1*(1+2/32+1/64))^(1/3)) = 1.291912 */
.long 0x3FA6F282 /* HI((2^1*(1+3/32+1/64))^(1/3)) = 1.304276 */
.long 0x3FA8801A /* HI((2^1*(1+4/32+1/64))^(1/3)) = 1.316409 */
.long 0x3FAA067E /* HI((2^1*(1+5/32+1/64))^(1/3)) = 1.328323 */
.long 0x3FAB8602 /* HI((2^1*(1+6/32+1/64))^(1/3)) = 1.340027 */
.long 0x3FACFEEF /* HI((2^1*(1+7/32+1/64))^(1/3)) = 1.35153 */
.long 0x3FAE718E /* HI((2^1*(1+8/32+1/64))^(1/3)) = 1.36284 */
.long 0x3FAFDE1F /* HI((2^1*(1+9/32+1/64))^(1/3)) = 1.373966 */
.long 0x3FB144E1 /* HI((2^1*(1+10/32+1/64))^(1/3)) = 1.384915 */
.long 0x3FB2A60D /* HI((2^1*(1+11/32+1/64))^(1/3)) = 1.395692 */
.long 0x3FB401DA /* HI((2^1*(1+12/32+1/64))^(1/3)) = 1.406307 */
.long 0x3FB5587B /* HI((2^1*(1+13/32+1/64))^(1/3)) = 1.416763 */
.long 0x3FB6AA20 /* HI((2^1*(1+14/32+1/64))^(1/3)) = 1.427067 */
.long 0x3FB7F6F7 /* HI((2^1*(1+15/32+1/64))^(1/3)) = 1.437224 */
.long 0x3FB93F29 /* HI((2^1*(1+16/32+1/64))^(1/3)) = 1.44724 */
.long 0x3FBA82E1 /* HI((2^1*(1+17/32+1/64))^(1/3)) = 1.457119 */
.long 0x3FBBC244 /* HI((2^1*(1+18/32+1/64))^(1/3)) = 1.466866 */
.long 0x3FBCFD77 /* HI((2^1*(1+19/32+1/64))^(1/3)) = 1.476485 */
.long 0x3FBE349B /* HI((2^1*(1+20/32+1/64))^(1/3)) = 1.48598 */
.long 0x3FBF67D3 /* HI((2^1*(1+21/32+1/64))^(1/3)) = 1.495356 */
.long 0x3FC0973C /* HI((2^1*(1+22/32+1/64))^(1/3)) = 1.504615 */
.long 0x3FC1C2F6 /* HI((2^1*(1+23/32+1/64))^(1/3)) = 1.513762 */
.long 0x3FC2EB1A /* HI((2^1*(1+24/32+1/64))^(1/3)) = 1.5228 */
.long 0x3FC40FC6 /* HI((2^1*(1+25/32+1/64))^(1/3)) = 1.531731 */
.long 0x3FC53112 /* HI((2^1*(1+26/32+1/64))^(1/3)) = 1.54056 */
.long 0x3FC64F16 /* HI((2^1*(1+27/32+1/64))^(1/3)) = 1.549289 */
.long 0x3FC769EB /* HI((2^1*(1+28/32+1/64))^(1/3)) = 1.55792 */
.long 0x3FC881A6 /* HI((2^1*(1+29/32+1/64))^(1/3)) = 1.566457 */
.long 0x3FC9965D /* HI((2^1*(1+30/32+1/64))^(1/3)) = 1.574901 */
.long 0x3FCAA825 /* HI((2^1*(1+31/32+1/64))^(1/3)) = 1.583256 */
.long 0x3FCC3D79 /* HI((2^2*(1+0/32+1/64))^(1/3)) = 1.595626 */
.long 0x3FCE5054 /* HI((2^2*(1+1/32+1/64))^(1/3)) = 1.611826 */
.long 0x3FD058B8 /* HI((2^2*(1+2/32+1/64))^(1/3)) = 1.627707 */
.long 0x3FD25726 /* HI((2^2*(1+3/32+1/64))^(1/3)) = 1.643285 */
.long 0x3FD44C15 /* HI((2^2*(1+4/32+1/64))^(1/3)) = 1.658572 */
.long 0x3FD637F2 /* HI((2^2*(1+5/32+1/64))^(1/3)) = 1.673582 */
.long 0x3FD81B24 /* HI((2^2*(1+6/32+1/64))^(1/3)) = 1.688328 */
.long 0x3FD9F60B /* HI((2^2*(1+7/32+1/64))^(1/3)) = 1.702821 */
.long 0x3FDBC8FE /* HI((2^2*(1+8/32+1/64))^(1/3)) = 1.717071 */
.long 0x3FDD9452 /* HI((2^2*(1+9/32+1/64))^(1/3)) = 1.731089 */
.long 0x3FDF5853 /* HI((2^2*(1+10/32+1/64))^(1/3)) = 1.744883 */
.long 0x3FE1154B /* HI((2^2*(1+11/32+1/64))^(1/3)) = 1.758462 */
.long 0x3FE2CB7F /* HI((2^2*(1+12/32+1/64))^(1/3)) = 1.771835 */
.long 0x3FE47B2E /* HI((2^2*(1+13/32+1/64))^(1/3)) = 1.785009 */
.long 0x3FE62496 /* HI((2^2*(1+14/32+1/64))^(1/3)) = 1.797992 */
.long 0x3FE7C7F0 /* HI((2^2*(1+15/32+1/64))^(1/3)) = 1.810789 */
.long 0x3FE96571 /* HI((2^2*(1+16/32+1/64))^(1/3)) = 1.823408 */
.long 0x3FEAFD4C /* HI((2^2*(1+17/32+1/64))^(1/3)) = 1.835855 */
.long 0x3FEC8FB3 /* HI((2^2*(1+18/32+1/64))^(1/3)) = 1.848135 */
.long 0x3FEE1CD3 /* HI((2^2*(1+19/32+1/64))^(1/3)) = 1.860255 */
.long 0x3FEFA4D7 /* HI((2^2*(1+20/32+1/64))^(1/3)) = 1.872218 */
.long 0x3FF127E9 /* HI((2^2*(1+21/32+1/64))^(1/3)) = 1.88403 */
.long 0x3FF2A62F /* HI((2^2*(1+22/32+1/64))^(1/3)) = 1.895697 */
.long 0x3FF41FD0 /* HI((2^2*(1+23/32+1/64))^(1/3)) = 1.907221 */
.long 0x3FF594EE /* HI((2^2*(1+24/32+1/64))^(1/3)) = 1.918607 */
.long 0x3FF705AC /* HI((2^2*(1+25/32+1/64))^(1/3)) = 1.929861 */
.long 0x3FF8722A /* HI((2^2*(1+26/32+1/64))^(1/3)) = 1.940984 */
.long 0x3FF9DA86 /* HI((2^2*(1+27/32+1/64))^(1/3)) = 1.951981 */
.long 0x3FFB3EDE /* HI((2^2*(1+28/32+1/64))^(1/3)) = 1.962856 */
.long 0x3FFC9F4E /* HI((2^2*(1+29/32+1/64))^(1/3)) = 1.973612 */
.long 0x3FFDFBF2 /* HI((2^2*(1+30/32+1/64))^(1/3)) = 1.984251 */
.long 0x3FFF54E3 /* HI((2^2*(1+31/32+1/64))^(1/3)) = 1.994778 */
.align 32
.long 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962, 0xBDE3A962 /* _sP2 */
.align 32
.long 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91, 0x3EAAAC91 /* _sP1 */
.align 32
.long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff /* _sMantissaMask (EXP_MSK3) */
.align 32
.long 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000, 0x007e0000 /* _sMantissaMask1 (SIG_MASK) */
.align 32
.long 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000, 0xBF800000 /* _sExpMask (EXP_MASK) */
.align 32
.long 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000, 0xBF820000 /* _sExpMask1 (EXP_MASK2) */
.align 32
.long 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c, 0x0000007c /* _iRcpIndexMask */
.align 32
.long 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff, 0x000000ff /* _iBExpMask */
.align 32
.long 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100, 0x00000100 /* _iSignMask */
.align 32
.long 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055, 0x00000055 /* _iBias */
.align 32
.long 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001, 0x00000001 /* _iOne */
.align 32
.long 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555, 0x00000555 /* _i555 */
.align 32
.long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */
.align 32
.long 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000, 0x80800000 /* _iSubConst */
.align 32
.long 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF, 0xFEFFFFFF /* _iCmpConst */
.align 32
.type __svml_scbrt_data_internal,@object
.size __svml_scbrt_data_internal,.-__svml_scbrt_data_internal
|
