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aarch64/fpu: Add vector variants of erf
[thirdparty/glibc.git] / sysdeps / aarch64 / fpu / sv_erff_data.c
1 /* Table for SVE erff approximation
2
3 Copyright (C) 2024 Free Software Foundation, Inc.
4 This file is part of the GNU C Library.
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Lesser General Public License for more details.
15
16 You should have received a copy of the GNU Lesser General Public
17 License along with the GNU C Library; if not, see
18 <https://www.gnu.org/licenses/>. */
19
20 #include "vecmath_config.h"
21
22 /* Lookup table used in SVE erff.
23 For each possible rounded input r (multiples of 1/128), between
24 r = 0.0 and r = 4.0 (513 values):
25 - __erff_data.erf contains the values of erf(r),
26 - __erff_data.scale contains the values of 2/sqrt(pi)*exp(-r^2).
27 Note that indices 0 and 1 are never hit by the algorithm, since lookup is
28 performed only for x >= 1/64-1/512. */
29 const struct sv_erff_data __sv_erff_data = {
30 .erf = { 0x0.000000p+0,
31 0x1.20dbf4p-7,
32 0x1.20d770p-6,
33 0x1.b137e0p-6,
34 0x1.20c564p-5,
35 0x1.68e5d4p-5,
36 0x1.b0fafep-5,
37 0x1.f902a8p-5,
38 0x1.207d48p-4,
39 0x1.44703ep-4,
40 0x1.68591ap-4,
41 0x1.8c36bep-4,
42 0x1.b00812p-4,
43 0x1.d3cbf8p-4,
44 0x1.f7815ap-4,
45 0x1.0d9390p-3,
46 0x1.1f5e1ap-3,
47 0x1.311fc2p-3,
48 0x1.42d7fcp-3,
49 0x1.548642p-3,
50 0x1.662a0cp-3,
51 0x1.77c2d2p-3,
52 0x1.895010p-3,
53 0x1.9ad142p-3,
54 0x1.ac45e4p-3,
55 0x1.bdad72p-3,
56 0x1.cf076ep-3,
57 0x1.e05354p-3,
58 0x1.f190aap-3,
59 0x1.015f78p-2,
60 0x1.09eed6p-2,
61 0x1.127632p-2,
62 0x1.1af54ep-2,
63 0x1.236bf0p-2,
64 0x1.2bd9dcp-2,
65 0x1.343ed6p-2,
66 0x1.3c9aa8p-2,
67 0x1.44ed18p-2,
68 0x1.4d35f0p-2,
69 0x1.5574f4p-2,
70 0x1.5da9f4p-2,
71 0x1.65d4b8p-2,
72 0x1.6df50ap-2,
73 0x1.760abap-2,
74 0x1.7e1594p-2,
75 0x1.861566p-2,
76 0x1.8e0a02p-2,
77 0x1.95f336p-2,
78 0x1.9dd0d2p-2,
79 0x1.a5a2acp-2,
80 0x1.ad6896p-2,
81 0x1.b52264p-2,
82 0x1.bccfecp-2,
83 0x1.c47104p-2,
84 0x1.cc0584p-2,
85 0x1.d38d44p-2,
86 0x1.db081cp-2,
87 0x1.e275eap-2,
88 0x1.e9d68ap-2,
89 0x1.f129d4p-2,
90 0x1.f86faap-2,
91 0x1.ffa7eap-2,
92 0x1.03693ap-1,
93 0x1.06f794p-1,
94 0x1.0a7ef6p-1,
95 0x1.0dff50p-1,
96 0x1.117894p-1,
97 0x1.14eab4p-1,
98 0x1.1855a6p-1,
99 0x1.1bb95cp-1,
100 0x1.1f15ccp-1,
101 0x1.226ae8p-1,
102 0x1.25b8a8p-1,
103 0x1.28ff02p-1,
104 0x1.2c3decp-1,
105 0x1.2f755cp-1,
106 0x1.32a54cp-1,
107 0x1.35cdb4p-1,
108 0x1.38ee8ap-1,
109 0x1.3c07cap-1,
110 0x1.3f196ep-1,
111 0x1.42236ep-1,
112 0x1.4525c8p-1,
113 0x1.482074p-1,
114 0x1.4b1372p-1,
115 0x1.4dfebap-1,
116 0x1.50e24cp-1,
117 0x1.53be26p-1,
118 0x1.569244p-1,
119 0x1.595ea6p-1,
120 0x1.5c2348p-1,
121 0x1.5ee02ep-1,
122 0x1.619556p-1,
123 0x1.6442c0p-1,
124 0x1.66e86ep-1,
125 0x1.69865ep-1,
126 0x1.6c1c98p-1,
127 0x1.6eab18p-1,
128 0x1.7131e6p-1,
129 0x1.73b102p-1,
130 0x1.762870p-1,
131 0x1.789836p-1,
132 0x1.7b0058p-1,
133 0x1.7d60d8p-1,
134 0x1.7fb9c0p-1,
135 0x1.820b12p-1,
136 0x1.8454d6p-1,
137 0x1.869712p-1,
138 0x1.88d1cep-1,
139 0x1.8b050ep-1,
140 0x1.8d30dep-1,
141 0x1.8f5544p-1,
142 0x1.91724ap-1,
143 0x1.9387f6p-1,
144 0x1.959652p-1,
145 0x1.979d68p-1,
146 0x1.999d42p-1,
147 0x1.9b95e8p-1,
148 0x1.9d8768p-1,
149 0x1.9f71cap-1,
150 0x1.a1551ap-1,
151 0x1.a33162p-1,
152 0x1.a506b0p-1,
153 0x1.a6d50cp-1,
154 0x1.a89c86p-1,
155 0x1.aa5d26p-1,
156 0x1.ac16fcp-1,
157 0x1.adca14p-1,
158 0x1.af767ap-1,
159 0x1.b11c3cp-1,
160 0x1.b2bb68p-1,
161 0x1.b4540ap-1,
162 0x1.b5e630p-1,
163 0x1.b771e8p-1,
164 0x1.b8f742p-1,
165 0x1.ba764ap-1,
166 0x1.bbef10p-1,
167 0x1.bd61a2p-1,
168 0x1.bece0ep-1,
169 0x1.c03464p-1,
170 0x1.c194b2p-1,
171 0x1.c2ef08p-1,
172 0x1.c44376p-1,
173 0x1.c5920ap-1,
174 0x1.c6dad2p-1,
175 0x1.c81de2p-1,
176 0x1.c95b46p-1,
177 0x1.ca930ep-1,
178 0x1.cbc54cp-1,
179 0x1.ccf20cp-1,
180 0x1.ce1962p-1,
181 0x1.cf3b5cp-1,
182 0x1.d0580cp-1,
183 0x1.d16f7ep-1,
184 0x1.d281c4p-1,
185 0x1.d38ef0p-1,
186 0x1.d49710p-1,
187 0x1.d59a34p-1,
188 0x1.d6986cp-1,
189 0x1.d791cap-1,
190 0x1.d8865ep-1,
191 0x1.d97636p-1,
192 0x1.da6162p-1,
193 0x1.db47f4p-1,
194 0x1.dc29fcp-1,
195 0x1.dd0788p-1,
196 0x1.dde0aap-1,
197 0x1.deb570p-1,
198 0x1.df85eap-1,
199 0x1.e0522ap-1,
200 0x1.e11a3ep-1,
201 0x1.e1de36p-1,
202 0x1.e29e22p-1,
203 0x1.e35a12p-1,
204 0x1.e41214p-1,
205 0x1.e4c638p-1,
206 0x1.e5768cp-1,
207 0x1.e62322p-1,
208 0x1.e6cc08p-1,
209 0x1.e7714ap-1,
210 0x1.e812fcp-1,
211 0x1.e8b12ap-1,
212 0x1.e94be4p-1,
213 0x1.e9e336p-1,
214 0x1.ea7730p-1,
215 0x1.eb07e2p-1,
216 0x1.eb9558p-1,
217 0x1.ec1fa2p-1,
218 0x1.eca6ccp-1,
219 0x1.ed2ae6p-1,
220 0x1.edabfcp-1,
221 0x1.ee2a1ep-1,
222 0x1.eea556p-1,
223 0x1.ef1db4p-1,
224 0x1.ef9344p-1,
225 0x1.f00614p-1,
226 0x1.f07630p-1,
227 0x1.f0e3a6p-1,
228 0x1.f14e82p-1,
229 0x1.f1b6d0p-1,
230 0x1.f21ca0p-1,
231 0x1.f27ff8p-1,
232 0x1.f2e0eap-1,
233 0x1.f33f7ep-1,
234 0x1.f39bc2p-1,
235 0x1.f3f5c2p-1,
236 0x1.f44d88p-1,
237 0x1.f4a31ep-1,
238 0x1.f4f694p-1,
239 0x1.f547f2p-1,
240 0x1.f59742p-1,
241 0x1.f5e490p-1,
242 0x1.f62fe8p-1,
243 0x1.f67952p-1,
244 0x1.f6c0dcp-1,
245 0x1.f7068cp-1,
246 0x1.f74a6ep-1,
247 0x1.f78c8cp-1,
248 0x1.f7cceep-1,
249 0x1.f80ba2p-1,
250 0x1.f848acp-1,
251 0x1.f8841ap-1,
252 0x1.f8bdf2p-1,
253 0x1.f8f63ep-1,
254 0x1.f92d08p-1,
255 0x1.f96256p-1,
256 0x1.f99634p-1,
257 0x1.f9c8a8p-1,
258 0x1.f9f9bap-1,
259 0x1.fa2974p-1,
260 0x1.fa57dep-1,
261 0x1.fa84fep-1,
262 0x1.fab0dep-1,
263 0x1.fadb84p-1,
264 0x1.fb04f6p-1,
265 0x1.fb2d40p-1,
266 0x1.fb5464p-1,
267 0x1.fb7a6cp-1,
268 0x1.fb9f60p-1,
269 0x1.fbc344p-1,
270 0x1.fbe61ep-1,
271 0x1.fc07fap-1,
272 0x1.fc28d8p-1,
273 0x1.fc48c2p-1,
274 0x1.fc67bcp-1,
275 0x1.fc85d0p-1,
276 0x1.fca2fep-1,
277 0x1.fcbf52p-1,
278 0x1.fcdaccp-1,
279 0x1.fcf576p-1,
280 0x1.fd0f54p-1,
281 0x1.fd286ap-1,
282 0x1.fd40bep-1,
283 0x1.fd5856p-1,
284 0x1.fd6f34p-1,
285 0x1.fd8562p-1,
286 0x1.fd9ae2p-1,
287 0x1.fdafb8p-1,
288 0x1.fdc3e8p-1,
289 0x1.fdd77ap-1,
290 0x1.fdea6ep-1,
291 0x1.fdfcccp-1,
292 0x1.fe0e96p-1,
293 0x1.fe1fd0p-1,
294 0x1.fe3080p-1,
295 0x1.fe40a6p-1,
296 0x1.fe504cp-1,
297 0x1.fe5f70p-1,
298 0x1.fe6e18p-1,
299 0x1.fe7c46p-1,
300 0x1.fe8a00p-1,
301 0x1.fe9748p-1,
302 0x1.fea422p-1,
303 0x1.feb090p-1,
304 0x1.febc96p-1,
305 0x1.fec836p-1,
306 0x1.fed374p-1,
307 0x1.fede52p-1,
308 0x1.fee8d4p-1,
309 0x1.fef2fep-1,
310 0x1.fefccep-1,
311 0x1.ff064cp-1,
312 0x1.ff0f76p-1,
313 0x1.ff1852p-1,
314 0x1.ff20e0p-1,
315 0x1.ff2924p-1,
316 0x1.ff3120p-1,
317 0x1.ff38d6p-1,
318 0x1.ff4048p-1,
319 0x1.ff4778p-1,
320 0x1.ff4e68p-1,
321 0x1.ff551ap-1,
322 0x1.ff5b90p-1,
323 0x1.ff61ccp-1,
324 0x1.ff67d0p-1,
325 0x1.ff6d9ep-1,
326 0x1.ff7338p-1,
327 0x1.ff789ep-1,
328 0x1.ff7dd4p-1,
329 0x1.ff82dap-1,
330 0x1.ff87b2p-1,
331 0x1.ff8c5cp-1,
332 0x1.ff90dcp-1,
333 0x1.ff9532p-1,
334 0x1.ff9960p-1,
335 0x1.ff9d68p-1,
336 0x1.ffa14ap-1,
337 0x1.ffa506p-1,
338 0x1.ffa8a0p-1,
339 0x1.ffac18p-1,
340 0x1.ffaf6ep-1,
341 0x1.ffb2a6p-1,
342 0x1.ffb5bep-1,
343 0x1.ffb8b8p-1,
344 0x1.ffbb98p-1,
345 0x1.ffbe5ap-1,
346 0x1.ffc102p-1,
347 0x1.ffc390p-1,
348 0x1.ffc606p-1,
349 0x1.ffc862p-1,
350 0x1.ffcaa8p-1,
351 0x1.ffccd8p-1,
352 0x1.ffcef4p-1,
353 0x1.ffd0fap-1,
354 0x1.ffd2eap-1,
355 0x1.ffd4cap-1,
356 0x1.ffd696p-1,
357 0x1.ffd84ep-1,
358 0x1.ffd9f8p-1,
359 0x1.ffdb90p-1,
360 0x1.ffdd18p-1,
361 0x1.ffde90p-1,
362 0x1.ffdffap-1,
363 0x1.ffe154p-1,
364 0x1.ffe2a2p-1,
365 0x1.ffe3e2p-1,
366 0x1.ffe514p-1,
367 0x1.ffe63cp-1,
368 0x1.ffe756p-1,
369 0x1.ffe866p-1,
370 0x1.ffe96ap-1,
371 0x1.ffea64p-1,
372 0x1.ffeb54p-1,
373 0x1.ffec3ap-1,
374 0x1.ffed16p-1,
375 0x1.ffedeap-1,
376 0x1.ffeeb4p-1,
377 0x1.ffef76p-1,
378 0x1.fff032p-1,
379 0x1.fff0e4p-1,
380 0x1.fff18ep-1,
381 0x1.fff232p-1,
382 0x1.fff2d0p-1,
383 0x1.fff366p-1,
384 0x1.fff3f6p-1,
385 0x1.fff480p-1,
386 0x1.fff504p-1,
387 0x1.fff582p-1,
388 0x1.fff5fcp-1,
389 0x1.fff670p-1,
390 0x1.fff6dep-1,
391 0x1.fff74ap-1,
392 0x1.fff7aep-1,
393 0x1.fff810p-1,
394 0x1.fff86cp-1,
395 0x1.fff8c6p-1,
396 0x1.fff91cp-1,
397 0x1.fff96cp-1,
398 0x1.fff9bap-1,
399 0x1.fffa04p-1,
400 0x1.fffa4cp-1,
401 0x1.fffa90p-1,
402 0x1.fffad0p-1,
403 0x1.fffb0ep-1,
404 0x1.fffb4ap-1,
405 0x1.fffb82p-1,
406 0x1.fffbb8p-1,
407 0x1.fffbecp-1,
408 0x1.fffc1ep-1,
409 0x1.fffc4ep-1,
410 0x1.fffc7ap-1,
411 0x1.fffca6p-1,
412 0x1.fffccep-1,
413 0x1.fffcf6p-1,
414 0x1.fffd1ap-1,
415 0x1.fffd3ep-1,
416 0x1.fffd60p-1,
417 0x1.fffd80p-1,
418 0x1.fffda0p-1,
419 0x1.fffdbep-1,
420 0x1.fffddap-1,
421 0x1.fffdf4p-1,
422 0x1.fffe0ep-1,
423 0x1.fffe26p-1,
424 0x1.fffe3ep-1,
425 0x1.fffe54p-1,
426 0x1.fffe68p-1,
427 0x1.fffe7ep-1,
428 0x1.fffe90p-1,
429 0x1.fffea2p-1,
430 0x1.fffeb4p-1,
431 0x1.fffec4p-1,
432 0x1.fffed4p-1,
433 0x1.fffee4p-1,
434 0x1.fffef2p-1,
435 0x1.ffff00p-1,
436 0x1.ffff0cp-1,
437 0x1.ffff18p-1,
438 0x1.ffff24p-1,
439 0x1.ffff30p-1,
440 0x1.ffff3ap-1,
441 0x1.ffff44p-1,
442 0x1.ffff4ep-1,
443 0x1.ffff56p-1,
444 0x1.ffff60p-1,
445 0x1.ffff68p-1,
446 0x1.ffff70p-1,
447 0x1.ffff78p-1,
448 0x1.ffff7ep-1,
449 0x1.ffff84p-1,
450 0x1.ffff8cp-1,
451 0x1.ffff92p-1,
452 0x1.ffff98p-1,
453 0x1.ffff9cp-1,
454 0x1.ffffa2p-1,
455 0x1.ffffa6p-1,
456 0x1.ffffacp-1,
457 0x1.ffffb0p-1,
458 0x1.ffffb4p-1,
459 0x1.ffffb8p-1,
460 0x1.ffffbcp-1,
461 0x1.ffffc0p-1,
462 0x1.ffffc4p-1,
463 0x1.ffffc6p-1,
464 0x1.ffffcap-1,
465 0x1.ffffccp-1,
466 0x1.ffffd0p-1,
467 0x1.ffffd2p-1,
468 0x1.ffffd4p-1,
469 0x1.ffffd6p-1,
470 0x1.ffffd8p-1,
471 0x1.ffffdcp-1,
472 0x1.ffffdep-1,
473 0x1.ffffdep-1,
474 0x1.ffffe0p-1,
475 0x1.ffffe2p-1,
476 0x1.ffffe4p-1,
477 0x1.ffffe6p-1,
478 0x1.ffffe8p-1,
479 0x1.ffffe8p-1,
480 0x1.ffffeap-1,
481 0x1.ffffeap-1,
482 0x1.ffffecp-1,
483 0x1.ffffeep-1,
484 0x1.ffffeep-1,
485 0x1.fffff0p-1,
486 0x1.fffff0p-1,
487 0x1.fffff2p-1,
488 0x1.fffff2p-1,
489 0x1.fffff2p-1,
490 0x1.fffff4p-1,
491 0x1.fffff4p-1,
492 0x1.fffff4p-1,
493 0x1.fffff6p-1,
494 0x1.fffff6p-1,
495 0x1.fffff6p-1,
496 0x1.fffff8p-1,
497 0x1.fffff8p-1,
498 0x1.fffff8p-1,
499 0x1.fffff8p-1,
500 0x1.fffffap-1,
501 0x1.fffffap-1,
502 0x1.fffffap-1,
503 0x1.fffffap-1,
504 0x1.fffffap-1,
505 0x1.fffffap-1,
506 0x1.fffffcp-1,
507 0x1.fffffcp-1,
508 0x1.fffffcp-1,
509 0x1.fffffcp-1,
510 0x1.fffffcp-1,
511 0x1.fffffcp-1,
512 0x1.fffffcp-1,
513 0x1.fffffcp-1,
514 0x1.fffffep-1,
515 0x1.fffffep-1,
516 0x1.fffffep-1,
517 0x1.fffffep-1,
518 0x1.fffffep-1,
519 0x1.fffffep-1,
520 0x1.fffffep-1,
521 0x1.fffffep-1,
522 0x1.fffffep-1,
523 0x1.fffffep-1,
524 0x1.fffffep-1,
525 0x1.fffffep-1,
526 0x1.fffffep-1,
527 0x1.fffffep-1,
528 0x1.fffffep-1,
529 0x1.fffffep-1,
530 0x1.fffffep-1,
531 0x1.fffffep-1,
532 0x1.000000p+0,
533 0x1.000000p+0,
534 0x1.000000p+0,
535 0x1.000000p+0,
536 0x1.000000p+0,
537 0x1.000000p+0,
538 0x1.000000p+0,
539 0x1.000000p+0,
540 0x1.000000p+0,
541 0x1.000000p+0,
542 0x1.000000p+0,
543 },
544 .scale = { 0x1.20dd76p+0,
545 0x1.20d8f2p+0,
546 0x1.20cb68p+0,
547 0x1.20b4d8p+0,
548 0x1.209546p+0,
549 0x1.206cb4p+0,
550 0x1.203b26p+0,
551 0x1.2000a0p+0,
552 0x1.1fbd28p+0,
553 0x1.1f70c4p+0,
554 0x1.1f1b7ap+0,
555 0x1.1ebd56p+0,
556 0x1.1e565cp+0,
557 0x1.1de698p+0,
558 0x1.1d6e14p+0,
559 0x1.1cecdcp+0,
560 0x1.1c62fap+0,
561 0x1.1bd07cp+0,
562 0x1.1b3572p+0,
563 0x1.1a91e6p+0,
564 0x1.19e5eap+0,
565 0x1.19318cp+0,
566 0x1.1874dep+0,
567 0x1.17aff0p+0,
568 0x1.16e2d8p+0,
569 0x1.160da4p+0,
570 0x1.153068p+0,
571 0x1.144b3cp+0,
572 0x1.135e30p+0,
573 0x1.12695ep+0,
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