1/*
2 * Data for approximation of vector erff.
3 *
4 * Copyright (c) 2023, Arm Limited.
5 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
6 */
7
8#include "math_config.h"
9
10/* Lookup table used in SVE erff.
11   For each possible rounded input r (multiples of 1/128), between
12   r = 0.0 and r = 4.0 (513 values):
13   - __erff_data.erf contains the values of erf(r),
14   - __erff_data.scale contains the values of 2/sqrt(pi)*exp(-r^2).
15   Note that indices 0 and 1 are never hit by the algorithm, since lookup is
16   performed only for x >= 1/64-1/512.  */
17const struct sv_erff_data __sv_erff_data = {
18  .erf = { 0x0.000000p+0,
19	   0x1.20dbf4p-7,
20	   0x1.20d770p-6,
21	   0x1.b137e0p-6,
22	   0x1.20c564p-5,
23	   0x1.68e5d4p-5,
24	   0x1.b0fafep-5,
25	   0x1.f902a8p-5,
26	   0x1.207d48p-4,
27	   0x1.44703ep-4,
28	   0x1.68591ap-4,
29	   0x1.8c36bep-4,
30	   0x1.b00812p-4,
31	   0x1.d3cbf8p-4,
32	   0x1.f7815ap-4,
33	   0x1.0d9390p-3,
34	   0x1.1f5e1ap-3,
35	   0x1.311fc2p-3,
36	   0x1.42d7fcp-3,
37	   0x1.548642p-3,
38	   0x1.662a0cp-3,
39	   0x1.77c2d2p-3,
40	   0x1.895010p-3,
41	   0x1.9ad142p-3,
42	   0x1.ac45e4p-3,
43	   0x1.bdad72p-3,
44	   0x1.cf076ep-3,
45	   0x1.e05354p-3,
46	   0x1.f190aap-3,
47	   0x1.015f78p-2,
48	   0x1.09eed6p-2,
49	   0x1.127632p-2,
50	   0x1.1af54ep-2,
51	   0x1.236bf0p-2,
52	   0x1.2bd9dcp-2,
53	   0x1.343ed6p-2,
54	   0x1.3c9aa8p-2,
55	   0x1.44ed18p-2,
56	   0x1.4d35f0p-2,
57	   0x1.5574f4p-2,
58	   0x1.5da9f4p-2,
59	   0x1.65d4b8p-2,
60	   0x1.6df50ap-2,
61	   0x1.760abap-2,
62	   0x1.7e1594p-2,
63	   0x1.861566p-2,
64	   0x1.8e0a02p-2,
65	   0x1.95f336p-2,
66	   0x1.9dd0d2p-2,
67	   0x1.a5a2acp-2,
68	   0x1.ad6896p-2,
69	   0x1.b52264p-2,
70	   0x1.bccfecp-2,
71	   0x1.c47104p-2,
72	   0x1.cc0584p-2,
73	   0x1.d38d44p-2,
74	   0x1.db081cp-2,
75	   0x1.e275eap-2,
76	   0x1.e9d68ap-2,
77	   0x1.f129d4p-2,
78	   0x1.f86faap-2,
79	   0x1.ffa7eap-2,
80	   0x1.03693ap-1,
81	   0x1.06f794p-1,
82	   0x1.0a7ef6p-1,
83	   0x1.0dff50p-1,
84	   0x1.117894p-1,
85	   0x1.14eab4p-1,
86	   0x1.1855a6p-1,
87	   0x1.1bb95cp-1,
88	   0x1.1f15ccp-1,
89	   0x1.226ae8p-1,
90	   0x1.25b8a8p-1,
91	   0x1.28ff02p-1,
92	   0x1.2c3decp-1,
93	   0x1.2f755cp-1,
94	   0x1.32a54cp-1,
95	   0x1.35cdb4p-1,
96	   0x1.38ee8ap-1,
97	   0x1.3c07cap-1,
98	   0x1.3f196ep-1,
99	   0x1.42236ep-1,
100	   0x1.4525c8p-1,
101	   0x1.482074p-1,
102	   0x1.4b1372p-1,
103	   0x1.4dfebap-1,
104	   0x1.50e24cp-1,
105	   0x1.53be26p-1,
106	   0x1.569244p-1,
107	   0x1.595ea6p-1,
108	   0x1.5c2348p-1,
109	   0x1.5ee02ep-1,
110	   0x1.619556p-1,
111	   0x1.6442c0p-1,
112	   0x1.66e86ep-1,
113	   0x1.69865ep-1,
114	   0x1.6c1c98p-1,
115	   0x1.6eab18p-1,
116	   0x1.7131e6p-1,
117	   0x1.73b102p-1,
118	   0x1.762870p-1,
119	   0x1.789836p-1,
120	   0x1.7b0058p-1,
121	   0x1.7d60d8p-1,
122	   0x1.7fb9c0p-1,
123	   0x1.820b12p-1,
124	   0x1.8454d6p-1,
125	   0x1.869712p-1,
126	   0x1.88d1cep-1,
127	   0x1.8b050ep-1,
128	   0x1.8d30dep-1,
129	   0x1.8f5544p-1,
130	   0x1.91724ap-1,
131	   0x1.9387f6p-1,
132	   0x1.959652p-1,
133	   0x1.979d68p-1,
134	   0x1.999d42p-1,
135	   0x1.9b95e8p-1,
136	   0x1.9d8768p-1,
137	   0x1.9f71cap-1,
138	   0x1.a1551ap-1,
139	   0x1.a33162p-1,
140	   0x1.a506b0p-1,
141	   0x1.a6d50cp-1,
142	   0x1.a89c86p-1,
143	   0x1.aa5d26p-1,
144	   0x1.ac16fcp-1,
145	   0x1.adca14p-1,
146	   0x1.af767ap-1,
147	   0x1.b11c3cp-1,
148	   0x1.b2bb68p-1,
149	   0x1.b4540ap-1,
150	   0x1.b5e630p-1,
151	   0x1.b771e8p-1,
152	   0x1.b8f742p-1,
153	   0x1.ba764ap-1,
154	   0x1.bbef10p-1,
155	   0x1.bd61a2p-1,
156	   0x1.bece0ep-1,
157	   0x1.c03464p-1,
158	   0x1.c194b2p-1,
159	   0x1.c2ef08p-1,
160	   0x1.c44376p-1,
161	   0x1.c5920ap-1,
162	   0x1.c6dad2p-1,
163	   0x1.c81de2p-1,
164	   0x1.c95b46p-1,
165	   0x1.ca930ep-1,
166	   0x1.cbc54cp-1,
167	   0x1.ccf20cp-1,
168	   0x1.ce1962p-1,
169	   0x1.cf3b5cp-1,
170	   0x1.d0580cp-1,
171	   0x1.d16f7ep-1,
172	   0x1.d281c4p-1,
173	   0x1.d38ef0p-1,
174	   0x1.d49710p-1,
175	   0x1.d59a34p-1,
176	   0x1.d6986cp-1,
177	   0x1.d791cap-1,
178	   0x1.d8865ep-1,
179	   0x1.d97636p-1,
180	   0x1.da6162p-1,
181	   0x1.db47f4p-1,
182	   0x1.dc29fcp-1,
183	   0x1.dd0788p-1,
184	   0x1.dde0aap-1,
185	   0x1.deb570p-1,
186	   0x1.df85eap-1,
187	   0x1.e0522ap-1,
188	   0x1.e11a3ep-1,
189	   0x1.e1de36p-1,
190	   0x1.e29e22p-1,
191	   0x1.e35a12p-1,
192	   0x1.e41214p-1,
193	   0x1.e4c638p-1,
194	   0x1.e5768cp-1,
195	   0x1.e62322p-1,
196	   0x1.e6cc08p-1,
197	   0x1.e7714ap-1,
198	   0x1.e812fcp-1,
199	   0x1.e8b12ap-1,
200	   0x1.e94be4p-1,
201	   0x1.e9e336p-1,
202	   0x1.ea7730p-1,
203	   0x1.eb07e2p-1,
204	   0x1.eb9558p-1,
205	   0x1.ec1fa2p-1,
206	   0x1.eca6ccp-1,
207	   0x1.ed2ae6p-1,
208	   0x1.edabfcp-1,
209	   0x1.ee2a1ep-1,
210	   0x1.eea556p-1,
211	   0x1.ef1db4p-1,
212	   0x1.ef9344p-1,
213	   0x1.f00614p-1,
214	   0x1.f07630p-1,
215	   0x1.f0e3a6p-1,
216	   0x1.f14e82p-1,
217	   0x1.f1b6d0p-1,
218	   0x1.f21ca0p-1,
219	   0x1.f27ff8p-1,
220	   0x1.f2e0eap-1,
221	   0x1.f33f7ep-1,
222	   0x1.f39bc2p-1,
223	   0x1.f3f5c2p-1,
224	   0x1.f44d88p-1,
225	   0x1.f4a31ep-1,
226	   0x1.f4f694p-1,
227	   0x1.f547f2p-1,
228	   0x1.f59742p-1,
229	   0x1.f5e490p-1,
230	   0x1.f62fe8p-1,
231	   0x1.f67952p-1,
232	   0x1.f6c0dcp-1,
233	   0x1.f7068cp-1,
234	   0x1.f74a6ep-1,
235	   0x1.f78c8cp-1,
236	   0x1.f7cceep-1,
237	   0x1.f80ba2p-1,
238	   0x1.f848acp-1,
239	   0x1.f8841ap-1,
240	   0x1.f8bdf2p-1,
241	   0x1.f8f63ep-1,
242	   0x1.f92d08p-1,
243	   0x1.f96256p-1,
244	   0x1.f99634p-1,
245	   0x1.f9c8a8p-1,
246	   0x1.f9f9bap-1,
247	   0x1.fa2974p-1,
248	   0x1.fa57dep-1,
249	   0x1.fa84fep-1,
250	   0x1.fab0dep-1,
251	   0x1.fadb84p-1,
252	   0x1.fb04f6p-1,
253	   0x1.fb2d40p-1,
254	   0x1.fb5464p-1,
255	   0x1.fb7a6cp-1,
256	   0x1.fb9f60p-1,
257	   0x1.fbc344p-1,
258	   0x1.fbe61ep-1,
259	   0x1.fc07fap-1,
260	   0x1.fc28d8p-1,
261	   0x1.fc48c2p-1,
262	   0x1.fc67bcp-1,
263	   0x1.fc85d0p-1,
264	   0x1.fca2fep-1,
265	   0x1.fcbf52p-1,
266	   0x1.fcdaccp-1,
267	   0x1.fcf576p-1,
268	   0x1.fd0f54p-1,
269	   0x1.fd286ap-1,
270	   0x1.fd40bep-1,
271	   0x1.fd5856p-1,
272	   0x1.fd6f34p-1,
273	   0x1.fd8562p-1,
274	   0x1.fd9ae2p-1,
275	   0x1.fdafb8p-1,
276	   0x1.fdc3e8p-1,
277	   0x1.fdd77ap-1,
278	   0x1.fdea6ep-1,
279	   0x1.fdfcccp-1,
280	   0x1.fe0e96p-1,
281	   0x1.fe1fd0p-1,
282	   0x1.fe3080p-1,
283	   0x1.fe40a6p-1,
284	   0x1.fe504cp-1,
285	   0x1.fe5f70p-1,
286	   0x1.fe6e18p-1,
287	   0x1.fe7c46p-1,
288	   0x1.fe8a00p-1,
289	   0x1.fe9748p-1,
290	   0x1.fea422p-1,
291	   0x1.feb090p-1,
292	   0x1.febc96p-1,
293	   0x1.fec836p-1,
294	   0x1.fed374p-1,
295	   0x1.fede52p-1,
296	   0x1.fee8d4p-1,
297	   0x1.fef2fep-1,
298	   0x1.fefccep-1,
299	   0x1.ff064cp-1,
300	   0x1.ff0f76p-1,
301	   0x1.ff1852p-1,
302	   0x1.ff20e0p-1,
303	   0x1.ff2924p-1,
304	   0x1.ff3120p-1,
305	   0x1.ff38d6p-1,
306	   0x1.ff4048p-1,
307	   0x1.ff4778p-1,
308	   0x1.ff4e68p-1,
309	   0x1.ff551ap-1,
310	   0x1.ff5b90p-1,
311	   0x1.ff61ccp-1,
312	   0x1.ff67d0p-1,
313	   0x1.ff6d9ep-1,
314	   0x1.ff7338p-1,
315	   0x1.ff789ep-1,
316	   0x1.ff7dd4p-1,
317	   0x1.ff82dap-1,
318	   0x1.ff87b2p-1,
319	   0x1.ff8c5cp-1,
320	   0x1.ff90dcp-1,
321	   0x1.ff9532p-1,
322	   0x1.ff9960p-1,
323	   0x1.ff9d68p-1,
324	   0x1.ffa14ap-1,
325	   0x1.ffa506p-1,
326	   0x1.ffa8a0p-1,
327	   0x1.ffac18p-1,
328	   0x1.ffaf6ep-1,
329	   0x1.ffb2a6p-1,
330	   0x1.ffb5bep-1,
331	   0x1.ffb8b8p-1,
332	   0x1.ffbb98p-1,
333	   0x1.ffbe5ap-1,
334	   0x1.ffc102p-1,
335	   0x1.ffc390p-1,
336	   0x1.ffc606p-1,
337	   0x1.ffc862p-1,
338	   0x1.ffcaa8p-1,
339	   0x1.ffccd8p-1,
340	   0x1.ffcef4p-1,
341	   0x1.ffd0fap-1,
342	   0x1.ffd2eap-1,
343	   0x1.ffd4cap-1,
344	   0x1.ffd696p-1,
345	   0x1.ffd84ep-1,
346	   0x1.ffd9f8p-1,
347	   0x1.ffdb90p-1,
348	   0x1.ffdd18p-1,
349	   0x1.ffde90p-1,
350	   0x1.ffdffap-1,
351	   0x1.ffe154p-1,
352	   0x1.ffe2a2p-1,
353	   0x1.ffe3e2p-1,
354	   0x1.ffe514p-1,
355	   0x1.ffe63cp-1,
356	   0x1.ffe756p-1,
357	   0x1.ffe866p-1,
358	   0x1.ffe96ap-1,
359	   0x1.ffea64p-1,
360	   0x1.ffeb54p-1,
361	   0x1.ffec3ap-1,
362	   0x1.ffed16p-1,
363	   0x1.ffedeap-1,
364	   0x1.ffeeb4p-1,
365	   0x1.ffef76p-1,
366	   0x1.fff032p-1,
367	   0x1.fff0e4p-1,
368	   0x1.fff18ep-1,
369	   0x1.fff232p-1,
370	   0x1.fff2d0p-1,
371	   0x1.fff366p-1,
372	   0x1.fff3f6p-1,
373	   0x1.fff480p-1,
374	   0x1.fff504p-1,
375	   0x1.fff582p-1,
376	   0x1.fff5fcp-1,
377	   0x1.fff670p-1,
378	   0x1.fff6dep-1,
379	   0x1.fff74ap-1,
380	   0x1.fff7aep-1,
381	   0x1.fff810p-1,
382	   0x1.fff86cp-1,
383	   0x1.fff8c6p-1,
384	   0x1.fff91cp-1,
385	   0x1.fff96cp-1,
386	   0x1.fff9bap-1,
387	   0x1.fffa04p-1,
388	   0x1.fffa4cp-1,
389	   0x1.fffa90p-1,
390	   0x1.fffad0p-1,
391	   0x1.fffb0ep-1,
392	   0x1.fffb4ap-1,
393	   0x1.fffb82p-1,
394	   0x1.fffbb8p-1,
395	   0x1.fffbecp-1,
396	   0x1.fffc1ep-1,
397	   0x1.fffc4ep-1,
398	   0x1.fffc7ap-1,
399	   0x1.fffca6p-1,
400	   0x1.fffccep-1,
401	   0x1.fffcf6p-1,
402	   0x1.fffd1ap-1,
403	   0x1.fffd3ep-1,
404	   0x1.fffd60p-1,
405	   0x1.fffd80p-1,
406	   0x1.fffda0p-1,
407	   0x1.fffdbep-1,
408	   0x1.fffddap-1,
409	   0x1.fffdf4p-1,
410	   0x1.fffe0ep-1,
411	   0x1.fffe26p-1,
412	   0x1.fffe3ep-1,
413	   0x1.fffe54p-1,
414	   0x1.fffe68p-1,
415	   0x1.fffe7ep-1,
416	   0x1.fffe90p-1,
417	   0x1.fffea2p-1,
418	   0x1.fffeb4p-1,
419	   0x1.fffec4p-1,
420	   0x1.fffed4p-1,
421	   0x1.fffee4p-1,
422	   0x1.fffef2p-1,
423	   0x1.ffff00p-1,
424	   0x1.ffff0cp-1,
425	   0x1.ffff18p-1,
426	   0x1.ffff24p-1,
427	   0x1.ffff30p-1,
428	   0x1.ffff3ap-1,
429	   0x1.ffff44p-1,
430	   0x1.ffff4ep-1,
431	   0x1.ffff56p-1,
432	   0x1.ffff60p-1,
433	   0x1.ffff68p-1,
434	   0x1.ffff70p-1,
435	   0x1.ffff78p-1,
436	   0x1.ffff7ep-1,
437	   0x1.ffff84p-1,
438	   0x1.ffff8cp-1,
439	   0x1.ffff92p-1,
440	   0x1.ffff98p-1,
441	   0x1.ffff9cp-1,
442	   0x1.ffffa2p-1,
443	   0x1.ffffa6p-1,
444	   0x1.ffffacp-1,
445	   0x1.ffffb0p-1,
446	   0x1.ffffb4p-1,
447	   0x1.ffffb8p-1,
448	   0x1.ffffbcp-1,
449	   0x1.ffffc0p-1,
450	   0x1.ffffc4p-1,
451	   0x1.ffffc6p-1,
452	   0x1.ffffcap-1,
453	   0x1.ffffccp-1,
454	   0x1.ffffd0p-1,
455	   0x1.ffffd2p-1,
456	   0x1.ffffd4p-1,
457	   0x1.ffffd6p-1,
458	   0x1.ffffd8p-1,
459	   0x1.ffffdcp-1,
460	   0x1.ffffdep-1,
461	   0x1.ffffdep-1,
462	   0x1.ffffe0p-1,
463	   0x1.ffffe2p-1,
464	   0x1.ffffe4p-1,
465	   0x1.ffffe6p-1,
466	   0x1.ffffe8p-1,
467	   0x1.ffffe8p-1,
468	   0x1.ffffeap-1,
469	   0x1.ffffeap-1,
470	   0x1.ffffecp-1,
471	   0x1.ffffeep-1,
472	   0x1.ffffeep-1,
473	   0x1.fffff0p-1,
474	   0x1.fffff0p-1,
475	   0x1.fffff2p-1,
476	   0x1.fffff2p-1,
477	   0x1.fffff2p-1,
478	   0x1.fffff4p-1,
479	   0x1.fffff4p-1,
480	   0x1.fffff4p-1,
481	   0x1.fffff6p-1,
482	   0x1.fffff6p-1,
483	   0x1.fffff6p-1,
484	   0x1.fffff8p-1,
485	   0x1.fffff8p-1,
486	   0x1.fffff8p-1,
487	   0x1.fffff8p-1,
488	   0x1.fffffap-1,
489	   0x1.fffffap-1,
490	   0x1.fffffap-1,
491	   0x1.fffffap-1,
492	   0x1.fffffap-1,
493	   0x1.fffffap-1,
494	   0x1.fffffcp-1,
495	   0x1.fffffcp-1,
496	   0x1.fffffcp-1,
497	   0x1.fffffcp-1,
498	   0x1.fffffcp-1,
499	   0x1.fffffcp-1,
500	   0x1.fffffcp-1,
501	   0x1.fffffcp-1,
502	   0x1.fffffep-1,
503	   0x1.fffffep-1,
504	   0x1.fffffep-1,
505	   0x1.fffffep-1,
506	   0x1.fffffep-1,
507	   0x1.fffffep-1,
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996	     0x1.296a70p-19,
997	     0x1.190562p-19,
998	     0x1.097f62p-19,
999	     0x1.f59a20p-20,
1000	     0x1.d9c736p-20,
1001	     0x1.bf716cp-20,
1002	     0x1.a6852cp-20,
1003	     0x1.8eefd8p-20,
1004	     0x1.789fb8p-20,
1005	     0x1.6383f8p-20,
1006	     0x1.4f8c96p-20,
1007	     0x1.3caa62p-20,
1008	     0x1.2acee2p-20,
1009	     0x1.19ec60p-20,
1010	     0x1.09f5d0p-20,
1011	     0x1.f5bd96p-21,
1012	     0x1.d9371ep-21,
1013	     0x1.be41dep-21,
1014	     0x1.a4c89ep-21,
1015	     0x1.8cb738p-21,
1016	     0x1.75fa8ep-21,
1017	     0x1.608078p-21,
1018	     0x1.4c37c0p-21,
1019	     0x1.39100ep-21,
1020	     0x1.26f9e0p-21,
1021	     0x1.15e682p-21,
1022	     0x1.05c804p-21,
1023	     0x1.ed2254p-22,
1024	     0x1.d06ad6p-22,
1025	     0x1.b551c8p-22,
1026	     0x1.9bc0a0p-22,
1027	     0x1.83a200p-22,
1028	     0x1.6ce1aap-22,
1029	     0x1.576c72p-22,
1030	     0x1.43302cp-22,
1031	     0x1.301ba2p-22,
1032	     0x1.1e1e86p-22,
1033	     0x1.0d2966p-22,
1034	     0x1.fa5b50p-23,
1035	     0x1.dc3ae4p-23,
1036	     0x1.bfd756p-23,
1037	     0x1.a517dap-23,
1038	     0x1.8be4f8p-23,
1039	     0x1.74287ep-23,
1040	     0x1.5dcd66p-23,
1041	     0x1.48bfd4p-23,
1042	     0x1.34ecf8p-23,
1043	     0x1.224310p-23,
1044	     0x1.10b148p-23,
1045  },
1046};
1047