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
|
/* Function cbrt 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 double precision
* cbrt(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5]
* (T stores the high 53 bits, D stores the low order bits)
* Result=2^k*T+(2^k*T*r)*P+2^k*D
* where P=p1+p2*r+..+p8*r^7
*
*/
/* Offsets for data table __svml_dcbrt_data_internal
*/
#define _dRcp 0
#define _dCbrtHiLo 256
#define _dA7 1024
#define _dA6 1056
#define _dA5 1088
#define _dA4 1120
#define _dA3 1152
#define _dA2 1184
#define _dA1 1216
#define _dNeg65Div64 1248
#define _dSgnf6Mask 1280
#define _dNegOne 1312
#define _dMantissaMask 1344
#define _lExpHiMask 1376
#define _lExpLoMask 1408
#define _l1556 1440
#define _iRcpIndexMask 1472
#define _iAbsMask 1504
#define _iSignMask 1536
#define _iBias 1568
#define _iSub 1600
#define _iCmp 1632
#include <sysdep.h>
.text
.section .text.avx2,"ax",@progbits
ENTRY(_ZGVdN4v_cbrt_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 1/(1+iRcpIndex/32+1/64) reciprocal table value */
lea __svml_dcbrt_data_internal(%rip), %rax
vmovapd %ymm0, %ymm5
/*
* Declarations
* Load constants
* Get iX - high part of argument
*/
vextractf128 $1, %ymm5, %xmm6
/* Calculate CbrtIndex */
vpsrlq $52, %ymm5, %ymm15
vshufps $221, %xmm6, %xmm5, %xmm4
/* Calculate Rcp table index */
vandps _iRcpIndexMask+__svml_dcbrt_data_internal(%rip), %xmm4, %xmm10
vpsrld $12, %xmm10, %xmm3
vmovd %xmm3, %ecx
/* If the exponent field is zero - go to callout to process denormals */
vandps _iAbsMask+__svml_dcbrt_data_internal(%rip), %xmm4, %xmm7
/* Compute 2^k */
vpsrld $20, %xmm4, %xmm4
vpsubd _iSub+__svml_dcbrt_data_internal(%rip), %xmm7, %xmm8
vandps _lExpLoMask+__svml_dcbrt_data_internal(%rip), %ymm15, %ymm0
vpmuludq _l1556+__svml_dcbrt_data_internal(%rip), %ymm0, %ymm6
vpextrd $2, %xmm3, %edi
movslq %ecx, %rcx
vpextrd $1, %xmm3, %esi
movslq %edi, %rdi
vpextrd $3, %xmm3, %r8d
movslq %esi, %rsi
movslq %r8d, %r8
vpcmpgtd _iCmp+__svml_dcbrt_data_internal(%rip), %xmm8, %xmm9
vmovsd (%rax,%rcx), %xmm11
vmovmskps %xmm9, %edx
vmovsd (%rax,%rdi), %xmm13
vmovhpd (%rax,%rsi), %xmm11, %xmm12
vmovhpd (%rax,%r8), %xmm13, %xmm14
vextractf128 $1, %ymm6, %xmm7
vshufps $136, %xmm7, %xmm6, %xmm8
vmovups __VUNPACK_ODD_ind1.613.0.1(%rip), %ymm7
vextractf128 $1, %ymm0, %xmm1
vshufps $136, %xmm1, %xmm0, %xmm9
vpsrld $14, %xmm8, %xmm1
vpsubd %xmm1, %xmm9, %xmm10
vpaddd %xmm1, %xmm1, %xmm11
/*
* VAND( L, l2k, = l2k, lExpHiMask );
* Argument reduction Z
*/
vandpd _dMantissaMask+__svml_dcbrt_data_internal(%rip), %ymm5, %ymm9
vinsertf128 $1, %xmm14, %ymm12, %ymm2
vpsubd %xmm11, %xmm10, %xmm12
vpslld $8, %xmm12, %xmm13
vpaddd %xmm13, %xmm3, %xmm15
/* Load cbrt(2^j*(1+iRcpIndex/32+1/64)) Hi & Lo values */
vmovd %xmm15, %r9d
vpextrd $2, %xmm15, %r11d
movslq %r9d, %r9
vpextrd $1, %xmm15, %r10d
movslq %r11d, %r11
vpextrd $3, %xmm15, %ecx
movslq %r10d, %r10
movslq %ecx, %rcx
vmovsd 256(%rax,%r9), %xmm3
vmovsd 256(%rax,%r11), %xmm0
vandpd _dSgnf6Mask+__svml_dcbrt_data_internal(%rip), %ymm5, %ymm10
vmovhpd 256(%rax,%r10), %xmm3, %xmm14
vmovhpd 256(%rax,%rcx), %xmm0, %xmm3
vorpd _dNegOne+__svml_dcbrt_data_internal(%rip), %ymm9, %ymm11
vorpd _dNeg65Div64+__svml_dcbrt_data_internal(%rip), %ymm10, %ymm12
vsubpd %ymm12, %ymm11, %ymm13
vmulpd %ymm13, %ymm2, %ymm2
vinsertf128 $1, %xmm3, %ymm14, %ymm0
vpand _iSignMask+__svml_dcbrt_data_internal(%rip), %xmm4, %xmm3
vpor _iBias+__svml_dcbrt_data_internal(%rip), %xmm3, %xmm4
vpaddd %xmm1, %xmm4, %xmm1
vpslld $20, %xmm1, %xmm6
/* Polynomial */
vmovupd _dA7+__svml_dcbrt_data_internal(%rip), %ymm1
vfmadd213pd _dA6+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1
vfmadd213pd _dA5+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1
vfmadd213pd _dA4+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1
vfmadd213pd _dA3+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1
vfmadd213pd _dA2+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1
vfmadd213pd _dA1+__svml_dcbrt_data_internal(%rip), %ymm2, %ymm1
vpermps %ymm6, %ymm7, %ymm8
vandps __VUNPACK_ODD_mask.613.0.1(%rip), %ymm8, %ymm14
/* THi*2^k, TLo*2^k */
vmulpd %ymm14, %ymm0, %ymm0
/* THi*2^k*Z */
vmulpd %ymm0, %ymm2, %ymm2
/* Final reconstruction */
vmulpd %ymm2, %ymm1, %ymm3
vaddpd %ymm3, %ymm0, %ymm0
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx 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):
vmovupd %ymm5, 32(%rsp)
vmovupd %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 $4, %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)
vmovupd 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
movsd 32(%rsp,%r14,8), %xmm0
call cbrt@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movsd %xmm0, 64(%rsp,%r14,8)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVdN4v_cbrt_avx2)
.section .rodata, "a"
.align 32
__VUNPACK_ODD_ind1.613.0.1:
.rept 3
.long 0
.endr
.long 1
.long 0
.long 2
.long 0
.long 3
.align 32
__VUNPACK_ODD_mask.613.0.1:
.long 0
.long -1
.long 0
.long -1
.long 0
.long -1
.long 0
.long -1
.section .rodata, "a"
.align 32
#ifdef __svml_dcbrt_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct
{
__declspec(align(32)) VUINT32 _dRcp[32][2];
__declspec(align(32)) VUINT32 _dCbrtHiLo[96][2];
__declspec(align(32)) VUINT32 _dA7[4][2];
__declspec(align(32)) VUINT32 _dA6[4][2];
__declspec(align(32)) VUINT32 _dA5[4][2];
__declspec(align(32)) VUINT32 _dA4[4][2];
__declspec(align(32)) VUINT32 _dA3[4][2];
__declspec(align(32)) VUINT32 _dA2[4][2];
__declspec(align(32)) VUINT32 _dA1[4][2];
__declspec(align(32)) VUINT32 _dNeg65Div64[4][2];
__declspec(align(32)) VUINT32 _dSgnf6Mask[4][2];
__declspec(align(32)) VUINT32 _dNegOne[4][2];
__declspec(align(32)) VUINT32 _dMantissaMask[4][2];
__declspec(align(32)) VUINT32 _lExpHiMask[4][2];
__declspec(align(32)) VUINT32 _lExpLoMask[4][2];
__declspec(align(32)) VUINT32 _l1556[4][2];
__declspec(align(32)) VUINT32 _iRcpIndexMask[8][1];
__declspec(align(32)) VUINT32 _iAbsMask[8][1];
__declspec(align(32)) VUINT32 _iSignMask[8][1];
__declspec(align(32)) VUINT32 _iBias[8][1];
__declspec(align(32)) VUINT32 _iSub[8][1];
__declspec(align(32)) VUINT32 _iCmp[8][1];
} __svml_dcbrt_data_internal;
#endif
__svml_dcbrt_data_internal:
/*== _dRcp ==*/
.quad 0xBFEF81F81F81F820 /* (1/(1+0/32+1/64)) = -.984615 */
.quad 0xBFEE9131ABF0B767 /* (1/(1+1/32+1/64)) = -.955224 */
.quad 0xBFEDAE6076B981DB /* (1/(1+2/32+1/64)) = -.927536 */
.quad 0xBFECD85689039B0B /* (1/(1+3/32+1/64)) = -.901408 */
.quad 0xBFEC0E070381C0E0 /* (1/(1+4/32+1/64)) = -.876712 */
.quad 0xBFEB4E81B4E81B4F /* (1/(1+5/32+1/64)) = -.853333 */
.quad 0xBFEA98EF606A63BE /* (1/(1+6/32+1/64)) = -.831169 */
.quad 0xBFE9EC8E951033D9 /* (1/(1+7/32+1/64)) = -.810127 */
.quad 0xBFE948B0FCD6E9E0 /* (1/(1+8/32+1/64)) = -.790123 */
.quad 0xBFE8ACB90F6BF3AA /* (1/(1+9/32+1/64)) = -.771084 */
.quad 0xBFE8181818181818 /* (1/(1+10/32+1/64)) = -.752941 */
.quad 0xBFE78A4C8178A4C8 /* (1/(1+11/32+1/64)) = -.735632 */
.quad 0xBFE702E05C0B8170 /* (1/(1+12/32+1/64)) = -.719101 */
.quad 0xBFE6816816816817 /* (1/(1+13/32+1/64)) = -.703297 */
.quad 0xBFE6058160581606 /* (1/(1+14/32+1/64)) = -.688172 */
.quad 0xBFE58ED2308158ED /* (1/(1+15/32+1/64)) = -.673684 */
.quad 0xBFE51D07EAE2F815 /* (1/(1+16/32+1/64)) = -.659794 */
.quad 0xBFE4AFD6A052BF5B /* (1/(1+17/32+1/64)) = -.646465 */
.quad 0xBFE446F86562D9FB /* (1/(1+18/32+1/64)) = -.633663 */
.quad 0xBFE3E22CBCE4A902 /* (1/(1+19/32+1/64)) = -.621359 */
.quad 0xBFE3813813813814 /* (1/(1+20/32+1/64)) = -.609524 */
.quad 0xBFE323E34A2B10BF /* (1/(1+21/32+1/64)) = -.598131 */
.quad 0xBFE2C9FB4D812CA0 /* (1/(1+22/32+1/64)) = -.587156 */
.quad 0xBFE27350B8812735 /* (1/(1+23/32+1/64)) = -.576577 */
.quad 0xBFE21FB78121FB78 /* (1/(1+24/32+1/64)) = -.566372 */
.quad 0xBFE1CF06ADA2811D /* (1/(1+25/32+1/64)) = -.556522 */
.quad 0xBFE1811811811812 /* (1/(1+26/32+1/64)) = -.547009 */
.quad 0xBFE135C81135C811 /* (1/(1+27/32+1/64)) = -.537815 */
.quad 0xBFE0ECF56BE69C90 /* (1/(1+28/32+1/64)) = -.528926 */
.quad 0xBFE0A6810A6810A7 /* (1/(1+29/32+1/64)) = -.520325 */
.quad 0xBFE0624DD2F1A9FC /* (1/(1+30/32+1/64)) = -.512 */
.quad 0xBFE0204081020408 /* (1/(1+31/32+1/64)) = -.503937 */
/*== _dCbrtHiLo ==*/
.align 32
.quad 0x3FF01539221D4C97 /* HI((2^0*(1+0/32+1/64))^(1/3)) = 1.005181 */
.quad 0x3FF03F06771A2E33 /* HI((2^0*(1+1/32+1/64))^(1/3)) = 1.015387 */
.quad 0x3FF06800E629D671 /* HI((2^0*(1+2/32+1/64))^(1/3)) = 1.025391 */
.quad 0x3FF090328731DEB2 /* HI((2^0*(1+3/32+1/64))^(1/3)) = 1.035204 */
.quad 0x3FF0B7A4B1BD64AC /* HI((2^0*(1+4/32+1/64))^(1/3)) = 1.044835 */
.quad 0x3FF0DE601024FB87 /* HI((2^0*(1+5/32+1/64))^(1/3)) = 1.054291 */
.quad 0x3FF1046CB0597000 /* HI((2^0*(1+6/32+1/64))^(1/3)) = 1.06358 */
.quad 0x3FF129D212A9BA9B /* HI((2^0*(1+7/32+1/64))^(1/3)) = 1.07271 */
.quad 0x3FF14E9736CDAF38 /* HI((2^0*(1+8/32+1/64))^(1/3)) = 1.081687 */
.quad 0x3FF172C2A772F507 /* HI((2^0*(1+9/32+1/64))^(1/3)) = 1.090518 */
.quad 0x3FF1965A848001D3 /* HI((2^0*(1+10/32+1/64))^(1/3)) = 1.099207 */
.quad 0x3FF1B9648C38C55D /* HI((2^0*(1+11/32+1/64))^(1/3)) = 1.107762 */
.quad 0x3FF1DBE6236A0C45 /* HI((2^0*(1+12/32+1/64))^(1/3)) = 1.116186 */
.quad 0x3FF1FDE45CBB1F9F /* HI((2^0*(1+13/32+1/64))^(1/3)) = 1.124485 */
.quad 0x3FF21F63FF409042 /* HI((2^0*(1+14/32+1/64))^(1/3)) = 1.132664 */
.quad 0x3FF240698C6746E5 /* HI((2^0*(1+15/32+1/64))^(1/3)) = 1.140726 */
.quad 0x3FF260F9454BB99B /* HI((2^0*(1+16/32+1/64))^(1/3)) = 1.148675 */
.quad 0x3FF281172F8E7073 /* HI((2^0*(1+17/32+1/64))^(1/3)) = 1.156516 */
.quad 0x3FF2A0C719B4B6D0 /* HI((2^0*(1+18/32+1/64))^(1/3)) = 1.164252 */
.quad 0x3FF2C00C9F2263EC /* HI((2^0*(1+19/32+1/64))^(1/3)) = 1.171887 */
.quad 0x3FF2DEEB2BB7FB78 /* HI((2^0*(1+20/32+1/64))^(1/3)) = 1.179423 */
.quad 0x3FF2FD65FF1EFBBC /* HI((2^0*(1+21/32+1/64))^(1/3)) = 1.186865 */
.quad 0x3FF31B802FCCF6A2 /* HI((2^0*(1+22/32+1/64))^(1/3)) = 1.194214 */
.quad 0x3FF3393CADC50708 /* HI((2^0*(1+23/32+1/64))^(1/3)) = 1.201474 */
.quad 0x3FF3569E451E4C2A /* HI((2^0*(1+24/32+1/64))^(1/3)) = 1.208647 */
.quad 0x3FF373A7A0554CDE /* HI((2^0*(1+25/32+1/64))^(1/3)) = 1.215736 */
.quad 0x3FF3905B4A6D76CE /* HI((2^0*(1+26/32+1/64))^(1/3)) = 1.222743 */
.quad 0x3FF3ACBBB0E756B6 /* HI((2^0*(1+27/32+1/64))^(1/3)) = 1.229671 */
.quad 0x3FF3C8CB258FA340 /* HI((2^0*(1+28/32+1/64))^(1/3)) = 1.236522 */
.quad 0x3FF3E48BE02AC0CE /* HI((2^0*(1+29/32+1/64))^(1/3)) = 1.243297 */
.quad 0x3FF4000000000000 /* HI((2^0*(1+30/32+1/64))^(1/3)) = 1.25 */
.quad 0x3FF41B298D47800E /* HI((2^0*(1+31/32+1/64))^(1/3)) = 1.256631 */
.quad 0x3FF443604B34D9B2 /* HI((2^1*(1+0/32+1/64))^(1/3)) = 1.266449 */
.quad 0x3FF4780B20906571 /* HI((2^1*(1+1/32+1/64))^(1/3)) = 1.279307 */
.quad 0x3FF4ABAC3EE06706 /* HI((2^1*(1+2/32+1/64))^(1/3)) = 1.291912 */
.quad 0x3FF4DE505DA66B8D /* HI((2^1*(1+3/32+1/64))^(1/3)) = 1.304276 */
.quad 0x3FF51003420A5C07 /* HI((2^1*(1+4/32+1/64))^(1/3)) = 1.316409 */
.quad 0x3FF540CFD6FD11C1 /* HI((2^1*(1+5/32+1/64))^(1/3)) = 1.328323 */
.quad 0x3FF570C04260716B /* HI((2^1*(1+6/32+1/64))^(1/3)) = 1.340027 */
.quad 0x3FF59FDDF7A45F38 /* HI((2^1*(1+7/32+1/64))^(1/3)) = 1.35153 */
.quad 0x3FF5CE31C83539DF /* HI((2^1*(1+8/32+1/64))^(1/3)) = 1.36284 */
.quad 0x3FF5FBC3F20966A4 /* HI((2^1*(1+9/32+1/64))^(1/3)) = 1.373966 */
.quad 0x3FF6289C2C8F1B70 /* HI((2^1*(1+10/32+1/64))^(1/3)) = 1.384915 */
.quad 0x3FF654C1B4316DCF /* HI((2^1*(1+11/32+1/64))^(1/3)) = 1.395693 */
.quad 0x3FF6803B54A34E44 /* HI((2^1*(1+12/32+1/64))^(1/3)) = 1.406307 */
.quad 0x3FF6AB0F72182659 /* HI((2^1*(1+13/32+1/64))^(1/3)) = 1.416763 */
.quad 0x3FF6D544118C08BC /* HI((2^1*(1+14/32+1/64))^(1/3)) = 1.427067 */
.quad 0x3FF6FEDEE0388D4A /* HI((2^1*(1+15/32+1/64))^(1/3)) = 1.437224 */
.quad 0x3FF727E53A4F645E /* HI((2^1*(1+16/32+1/64))^(1/3)) = 1.44724 */
.quad 0x3FF7505C31104114 /* HI((2^1*(1+17/32+1/64))^(1/3)) = 1.457119 */
.quad 0x3FF77848904CD549 /* HI((2^1*(1+18/32+1/64))^(1/3)) = 1.466866 */
.quad 0x3FF79FAEE36B2534 /* HI((2^1*(1+19/32+1/64))^(1/3)) = 1.476485 */
.quad 0x3FF7C69379F4605B /* HI((2^1*(1+20/32+1/64))^(1/3)) = 1.48598 */
.quad 0x3FF7ECFA6BBCA391 /* HI((2^1*(1+21/32+1/64))^(1/3)) = 1.495356 */
.quad 0x3FF812E79CAE7EB9 /* HI((2^1*(1+22/32+1/64))^(1/3)) = 1.504615 */
.quad 0x3FF8385EC043C71D /* HI((2^1*(1+23/32+1/64))^(1/3)) = 1.513762 */
.quad 0x3FF85D635CB41B9D /* HI((2^1*(1+24/32+1/64))^(1/3)) = 1.5228 */
.quad 0x3FF881F8CDE083DB /* HI((2^1*(1+25/32+1/64))^(1/3)) = 1.531731 */
.quad 0x3FF8A6224802B8A8 /* HI((2^1*(1+26/32+1/64))^(1/3)) = 1.54056 */
.quad 0x3FF8C9E2DA25E5E4 /* HI((2^1*(1+27/32+1/64))^(1/3)) = 1.549289 */
.quad 0x3FF8ED3D706E1010 /* HI((2^1*(1+28/32+1/64))^(1/3)) = 1.55792 */
.quad 0x3FF91034D632B6DF /* HI((2^1*(1+29/32+1/64))^(1/3)) = 1.566457 */
.quad 0x3FF932CBB7F0CF2D /* HI((2^1*(1+30/32+1/64))^(1/3)) = 1.574901 */
.quad 0x3FF95504A517BF3A /* HI((2^1*(1+31/32+1/64))^(1/3)) = 1.583256 */
.quad 0x3FF987AF34F8BB19 /* HI((2^2*(1+0/32+1/64))^(1/3)) = 1.595626 */
.quad 0x3FF9CA0A8337B317 /* HI((2^2*(1+1/32+1/64))^(1/3)) = 1.611826 */
.quad 0x3FFA0B1709CC13D5 /* HI((2^2*(1+2/32+1/64))^(1/3)) = 1.627708 */
.quad 0x3FFA4AE4CE6419ED /* HI((2^2*(1+3/32+1/64))^(1/3)) = 1.643285 */
.quad 0x3FFA8982A5567031 /* HI((2^2*(1+4/32+1/64))^(1/3)) = 1.658572 */
.quad 0x3FFAC6FE500AB570 /* HI((2^2*(1+5/32+1/64))^(1/3)) = 1.673582 */
.quad 0x3FFB036497A15A17 /* HI((2^2*(1+6/32+1/64))^(1/3)) = 1.688328 */
.quad 0x3FFB3EC164671755 /* HI((2^2*(1+7/32+1/64))^(1/3)) = 1.702821 */
.quad 0x3FFB791FD288C46F /* HI((2^2*(1+8/32+1/64))^(1/3)) = 1.717071 */
.quad 0x3FFBB28A44693BE4 /* HI((2^2*(1+9/32+1/64))^(1/3)) = 1.731089 */
.quad 0x3FFBEB0A72EB6E31 /* HI((2^2*(1+10/32+1/64))^(1/3)) = 1.744883 */
.quad 0x3FFC22A97BF5F697 /* HI((2^2*(1+11/32+1/64))^(1/3)) = 1.758462 */
.quad 0x3FFC596FEF6AF983 /* HI((2^2*(1+12/32+1/64))^(1/3)) = 1.771835 */
.quad 0x3FFC8F65DAC655A3 /* HI((2^2*(1+13/32+1/64))^(1/3)) = 1.785009 */
.quad 0x3FFCC492D38CE8D9 /* HI((2^2*(1+14/32+1/64))^(1/3)) = 1.797992 */
.quad 0x3FFCF8FE00B19367 /* HI((2^2*(1+15/32+1/64))^(1/3)) = 1.810789 */
.quad 0x3FFD2CAE230F8709 /* HI((2^2*(1+16/32+1/64))^(1/3)) = 1.823408 */
.quad 0x3FFD5FA99D15208F /* HI((2^2*(1+17/32+1/64))^(1/3)) = 1.835855 */
.quad 0x3FFD91F679B6E505 /* HI((2^2*(1+18/32+1/64))^(1/3)) = 1.848135 */
.quad 0x3FFDC39A72BF2302 /* HI((2^2*(1+19/32+1/64))^(1/3)) = 1.860255 */
.quad 0x3FFDF49AF68C1570 /* HI((2^2*(1+20/32+1/64))^(1/3)) = 1.872218 */
.quad 0x3FFE24FD2D4C23B8 /* HI((2^2*(1+21/32+1/64))^(1/3)) = 1.884031 */
.quad 0x3FFE54C5FDC5EC73 /* HI((2^2*(1+22/32+1/64))^(1/3)) = 1.895697 */
.quad 0x3FFE83FA11B81DBB /* HI((2^2*(1+23/32+1/64))^(1/3)) = 1.907221 */
.quad 0x3FFEB29DD9DBAF25 /* HI((2^2*(1+24/32+1/64))^(1/3)) = 1.918608 */
.quad 0x3FFEE0B59191D374 /* HI((2^2*(1+25/32+1/64))^(1/3)) = 1.929861 */
.quad 0x3FFF0E454245E4BF /* HI((2^2*(1+26/32+1/64))^(1/3)) = 1.940984 */
.quad 0x3FFF3B50C68A9DD3 /* HI((2^2*(1+27/32+1/64))^(1/3)) = 1.951981 */
.quad 0x3FFF67DBCCF922DC /* HI((2^2*(1+28/32+1/64))^(1/3)) = 1.962856 */
.quad 0x3FFF93E9DAD7A4A6 /* HI((2^2*(1+29/32+1/64))^(1/3)) = 1.973612 */
.quad 0x3FFFBF7E4E8CC9CB /* HI((2^2*(1+30/32+1/64))^(1/3)) = 1.984251 */
.quad 0x3FFFEA9C61E47CD3 /* HI((2^2*(1+31/32+1/64))^(1/3)) = 1.994778 */
.align 32
.quad 0x3F93750AD588F115, 0x3F93750AD588F115, 0x3F93750AD588F115, 0x3F93750AD588F115 /* _dA7 */
.align 32
.quad 0xBF98090D6221A247, 0xBF98090D6221A247, 0xBF98090D6221A247, 0xBF98090D6221A247 /* _dA6 */
.align 32
.quad 0x3F9EE7113506AC12, 0x3F9EE7113506AC12, 0x3F9EE7113506AC12, 0x3F9EE7113506AC12 /* _dA5 */
.align 32
.quad 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B, 0xBFA511E8D2B3183B /* _dA4 */
.align 32
.quad 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458, 0x3FAF9ADD3C0CA458 /* _dA3 */
.align 32
.quad 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C, 0xBFBC71C71C71C71C /* _dA2 */
.align 32
.quad 0x3FD5555555555555, 0x3FD5555555555555, 0x3FD5555555555555, 0x3FD5555555555555 /* _dA1 */
.align 32
.quad 0xBFF0400000000000, 0xBFF0400000000000, 0xBFF0400000000000, 0xBFF0400000000000 /* _dNeg65Div64 */
.align 32
.quad 0x000FC00000000000, 0x000FC00000000000, 0x000FC00000000000, 0x000FC00000000000 /* _dSgnf6Mask */
.align 32
.quad 0xBFF0000000000000, 0xBFF0000000000000, 0xBFF0000000000000, 0xBFF0000000000000 /* _dNegOne */
.align 32
.quad 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF, 0x000FFFFFFFFFFFFF /* _dMantissaMask */
.align 32
.quad 0xFFF0000000000000, 0xFFF0000000000000, 0xFFF0000000000000, 0xFFF0000000000000 /* _lExpHiMask */
.align 32
.quad 0x00000000000007FF, 0x00000000000007FF, 0x00000000000007FF, 0x00000000000007FF /* _lExpLoMask */
.align 32
.quad 0x0000000000001556, 0x0000000000001556, 0x0000000000001556, 0x0000000000001556 /* _l1556 */
.align 32
.long 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000, 0x000F8000 /* _iRcpIndexMask */
.align 32
.long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF /* _iAbsMask */
.align 32
.long 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800, 0x00000800 /* _iSignMask */
.align 32
.long 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA, 0x000002AA /* _iBias */
.align 32
.long 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000, 0x80100000 /* _iSub */
.align 32
.long 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff, 0xffdfffff /* _iCmp */
.align 32
.type __svml_dcbrt_data_internal,@object
.size __svml_dcbrt_data_internal,.-__svml_dcbrt_data_internal
|
