1/*
2 * IBM Accurate Mathematical Library
3 * Written by International Business Machines Corp.
4 * Copyright (C) 2001-2020 Free Software Foundation, Inc.
5 *
6 * This program is free software; you can redistribute it and/or modify
7 * it under the terms of the GNU Lesser General Public License as published by
8 * the Free Software Foundation; either version 2.1 of the License, or
9 * (at your option) any later version.
10 *
11 * This program 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
14 * GNU Lesser General Public License for more details.
15 *
16 * You should have received a copy of the GNU Lesser General Public License
17 * along with this program; if not, see <https://www.gnu.org/licenses/>.
18 */
19
20/******************************************************************/
21/* */
22/* MODULE_NAME:utan.h */
23/* */
24/* common data and variables prototype and definition */
25/******************************************************************/
26
27#ifndef UTAN_H
28#define UTAN_H
29
30#ifdef BIG_ENDI
31 static const number
32 /* polynomial I */
33/**/ d3 = {{0x3FD55555, 0x55555555} }, /* 0.333... */
34/**/ d5 = {{0x3FC11111, 0x111107C6} }, /* 0.133... */
35/**/ d7 = {{0x3FABA1BA, 0x1CDB8745} }, /* . */
36/**/ d9 = {{0x3F9664ED, 0x49CFC666} }, /* . */
37/**/ d11 = {{0x3F82385A, 0x3CF2E4EA} }, /* . */
38 /* polynomial II */
39/**/ a3 = {{0x3fd55555, 0x55555555} }, /* 1/3 */
40/**/ aa3 = {{0x3c755555, 0x55555555} }, /* 1/3-a3 */
41/**/ a5 = {{0x3fc11111, 0x11111111} }, /* 2/15 */
42/**/ aa5 = {{0x3c411111, 0x11111111} }, /* 2/15-a5 */
43/**/ a7 = {{0x3faba1ba, 0x1ba1ba1c} }, /* 17/315 */
44/**/ aa7 = {{0xbc479179, 0x17917918} }, /* ()-a7 */
45/**/ a9 = {{0x3f9664f4, 0x882c10fa} }, /* 62/2835 */
46/**/ aa9 = {{0xbc09a528, 0x8b6c44fd} }, /* ()-a9 */
47/**/ a11 = {{0x3f8226e3, 0x55e6c23d} }, /* . */
48/**/ aa11 = {{0xbc2c292b, 0x8f1a2c13} }, /* . */
49/**/ a13 = {{0x3f6d6d3d, 0x0e157de0} }, /* . */
50/**/ aa13 = {{0xbc0280cf, 0xc968d971} }, /* . */
51/**/ a15 = {{0x3f57da36, 0x452b75e3} }, /* . */
52#if 0
53/**/ aa15 = {{0xbbf25789, 0xb285d2ed} }, /* . */
54#endif
55/**/ a17 = {{0x3f435582, 0x48036744} }, /* . */
56#if 0
57/**/ aa17 = {{0x3be488d9, 0x563f1f23} }, /* . */
58#endif
59/**/ a19 = {{0x3f2f57d7, 0x734d1664} }, /* . */
60#if 0
61/**/ aa19 = {{0x3bb0d55a, 0x913ccb50} }, /* . */
62#endif
63/**/ a21 = {{0x3f1967e1, 0x8afcafad} }, /* . */
64#if 0
65/**/ aa21 = {{0xbbbd7614, 0xa42d44e6} }, /* . */
66#endif
67/**/ a23 = {{0x3f0497d8, 0xeea25259} }, /* . */
68#if 0
69/**/ aa23 = {{0x3b99f2d0, 0x2e4d2863} }, /* . */
70#endif
71/**/ a25 = {{0x3ef0b132, 0xd39a6050} }, /* . */
72#if 0
73/**/ aa25 = {{0x3b93b274, 0xc2c19614} }, /* . */
74#endif
75/**/ a27 = {{0x3edb0f72, 0xd3ee24e9} }, /* . */
76#if 0
77/**/ aa27 = {{0x3b61688d, 0xdd595609} }, /* . */
78#endif
79 /* polynomial III */
80/**/ e0 = {{0x3FD55555, 0x55554DBD} }, /* . */
81/**/ e1 = {{0x3FC11112, 0xE0A6B45F} }, /* . */
82
83 /* constants */
84/**/ mfftnhf = {{0xc02f0000, 0x00000000} }, /*-15.5 */
85
86/**/ g1 = {{0x3e4b096c, 0x00000000} }, /* 1.259e-8 */
87/**/ g2 = {{0x3faf212d, 0x00000000} }, /* 0.0608 */
88/**/ g3 = {{0x3fe92f1a, 0x00000000} }, /* 0.787 */
89/**/ g4 = {{0x40390000, 0x00000000} }, /* 25.0 */
90/**/ g5 = {{0x4197d784, 0x00000000} }, /* 1e8 */
91/**/ gy1 = {{0x3e7ad7f2, 0x9abcaf48} }, /* 1e-7 */
92/**/ gy2 = {{0x3faf212d, 0x00000000} }, /* 0.0608 */
93
94/**/ u1 = {{0x3cc8c33a, 0x00000000} }, /* 6.873e-16 */
95/**/ u2 = {{0x3983dc4d, 0x00000000} }, /* 1.224e-31 */
96/**/ u3 = {{0x3c78e14b, 0x00000000} }, /* 2.158e-17 */
97/**/ ua3 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
98/**/ ub3 = {{0x3cc81898, 0x00000000} }, /* 6.688e-16 */
99/**/ u4 = {{0x399856c2, 0x00000000} }, /* 3e-31 */
100/**/ u5 = {{0x3c39d80a, 0x00000000} }, /* 1.401e-18 */
101/**/ u6 = {{0x3c374c5a, 0x00000000} }, /* 1.263e-18 */
102/**/ u7 = {{0x39903beb, 0x00000000} }, /* 2.001e-31 */
103/**/ u8 = {{0x399c56ae, 0x00000000} }, /* 3.493e-31 */
104/**/ u9 = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
105/**/ ua9 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
106/**/ ub9 = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
107/**/ u10 = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
108/**/ ua10 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
109/**/ ub10 = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
110/**/ u11 = {{0x39e509b6, 0x00000000} }, /* 8.298e-30 */
111/**/ u12 = {{0x39e509b6, 0x00000000} }, /* 8.298e-30 */
112/**/ u13 = {{0x3c39d80a, 0x00000000} }, /* 1.401e-18 */
113/**/ u14 = {{0x3c374c5a, 0x00000000} }, /* 1.263e-18 */
114/**/ u15 = {{0x3ab5767a, 0x00000000} }, /* 6.935e-26 */
115/**/ u16 = {{0x3ab57744, 0x00000000} }, /* 6.936e-26 */
116/**/ u17 = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
117/**/ ua17 = {{0x3bfdb11f, 0x00000000} }, /* 1.006e-19 */
118/**/ ub17 = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
119/**/ u18 = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
120/**/ ua18 = {{0x3bfdb11f, 0x00000000} }, /* 1.006e-19 */
121/**/ ub18 = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
122/**/ u19 = {{0x39a13b61, 0x00000000} }, /* 4.248e-31 */
123/**/ u20 = {{0x39a13b61, 0x00000000} }, /* 4.248e-31 */
124/**/ u21 = {{0x3c3bb9b8, 0x00000000} }, /* 1.503e-18 */
125/**/ u22 = {{0x3c392e08, 0x00000000} }, /* 1.365e-18 */
126/**/ u23 = {{0x3a0ce706, 0x00000000} }, /* 4.560e-29 */
127/**/ u24 = {{0x3a0cff5d, 0x00000000} }, /* 4.575e-29 */
128/**/ u25 = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
129/**/ ua25 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
130/**/ ub25 = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
131/**/ u26 = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
132/**/ ua26 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
133/**/ ub26 = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
134/**/ u27 = {{0x3ad421cb, 0x00000000} }, /* 2.602e-25 */
135/**/ u28 = {{0x3ad421cb, 0x00000000} }, /* 2.602e-25 */
136
137/**/ mp1 = {{0x3FF921FB, 0x58000000} },
138/**/ mp2 = {{0xBE4DDE97, 0x3C000000} },
139/**/ mp3 = {{0xBC8CB3B3, 0x99D747F2} },
140/**/ pp3 = {{0xBC8CB3B3, 0x98000000} },
141/**/ pp4 = {{0xbacd747f, 0x23e32ed7} },
142/**/ hpinv = {{0x3FE45F30, 0x6DC9C883} },
143/**/ toint = {{0x43380000, 0x00000000} };
144
145#else
146#ifdef LITTLE_ENDI
147
148 static const number
149 /* polynomial I */
150/**/ d3 = {{0x55555555, 0x3FD55555} }, /* 0.333... */
151/**/ d5 = {{0x111107C6, 0x3FC11111} }, /* 0.133... */
152/**/ d7 = {{0x1CDB8745, 0x3FABA1BA} }, /* . */
153/**/ d9 = {{0x49CFC666, 0x3F9664ED} }, /* . */
154/**/ d11 = {{0x3CF2E4EA, 0x3F82385A} }, /* . */
155 /* polynomial II */
156/**/ a3 = {{0x55555555, 0x3fd55555} }, /* 1/3 */
157/**/ aa3 = {{0x55555555, 0x3c755555} }, /* 1/3-a3 */
158/**/ a5 = {{0x11111111, 0x3fc11111} }, /* 2/15 */
159/**/ aa5 = {{0x11111111, 0x3c411111} }, /* 2/15-a5 */
160/**/ a7 = {{0x1ba1ba1c, 0x3faba1ba} }, /* 17/315 */
161/**/ aa7 = {{0x17917918, 0xbc479179} }, /* ()-a7 */
162/**/ a9 = {{0x882c10fa, 0x3f9664f4} }, /* 62/2835 */
163/**/ aa9 = {{0x8b6c44fd, 0xbc09a528} }, /* ()-a9 */
164/**/ a11 = {{0x55e6c23d, 0x3f8226e3} }, /* . */
165/**/ aa11 = {{0x8f1a2c13, 0xbc2c292b} }, /* . */
166/**/ a13 = {{0x0e157de0, 0x3f6d6d3d} }, /* . */
167/**/ aa13 = {{0xc968d971, 0xbc0280cf} }, /* . */
168/**/ a15 = {{0x452b75e3, 0x3f57da36} }, /* . */
169#if 0
170/**/ aa15 = {{0xb285d2ed, 0xbbf25789} }, /* . */
171#endif
172/**/ a17 = {{0x48036744, 0x3f435582} }, /* . */
173#if 0
174/**/ aa17 = {{0x563f1f23, 0x3be488d9} }, /* . */
175#endif
176/**/ a19 = {{0x734d1664, 0x3f2f57d7} }, /* . */
177#if 0
178/**/ aa19 = {{0x913ccb50, 0x3bb0d55a} }, /* . */
179#endif
180/**/ a21 = {{0x8afcafad, 0x3f1967e1} }, /* . */
181#if 0
182/**/ aa21 = {{0xa42d44e6, 0xbbbd7614} }, /* . */
183#endif
184/**/ a23 = {{0xeea25259, 0x3f0497d8} }, /* . */
185#if 0
186/**/ aa23 = {{0x2e4d2863, 0x3b99f2d0} }, /* . */
187#endif
188/**/ a25 = {{0xd39a6050, 0x3ef0b132} }, /* . */
189#if 0
190/**/ aa25 = {{0xc2c19614, 0x3b93b274} }, /* . */
191#endif
192/**/ a27 = {{0xd3ee24e9, 0x3edb0f72} }, /* . */
193#if 0
194/**/ aa27 = {{0xdd595609, 0x3b61688d} }, /* . */
195#endif
196 /* polynomial III */
197/**/ e0 = {{0x55554DBD, 0x3FD55555} }, /* . */
198/**/ e1 = {{0xE0A6B45F, 0x3FC11112} }, /* . */
199
200 /* constants */
201/**/ mfftnhf = {{0x00000000, 0xc02f0000} }, /*-15.5 */
202
203/**/ g1 = {{0x00000000, 0x3e4b096c} }, /* 1.259e-8 */
204/**/ g2 = {{0x00000000, 0x3faf212d} }, /* 0.0608 */
205/**/ g3 = {{0x00000000, 0x3fe92f1a} }, /* 0.787 */
206/**/ g4 = {{0x00000000, 0x40390000} }, /* 25.0 */
207/**/ g5 = {{0x00000000, 0x4197d784} }, /* 1e8 */
208/**/ gy1 = {{0x9abcaf48, 0x3e7ad7f2} }, /* 1e-7 */
209/**/ gy2 = {{0x00000000, 0x3faf212d} }, /* 0.0608 */
210
211/**/ u1 = {{0x00000000, 0x3cc8c33a} }, /* 6.873e-16 */
212/**/ u2 = {{0x00000000, 0x3983dc4d} }, /* 1.224e-31 */
213/**/ u3 = {{0x00000000, 0x3c78e14b} }, /* 2.158e-17 */
214/**/ ua3 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
215/**/ ub3 = {{0x00000000, 0x3cc81898} }, /* 6.688e-16 */
216/**/ u4 = {{0x00000000, 0x399856c2} }, /* 3e-31 */
217/**/ u5 = {{0x00000000, 0x3c39d80a} }, /* 1.401e-18 */
218/**/ u6 = {{0x00000000, 0x3c374c5a} }, /* 1.263e-18 */
219/**/ u7 = {{0x00000000, 0x39903beb} }, /* 2.001e-31 */
220/**/ u8 = {{0x00000000, 0x399c56ae} }, /* 3.493e-31 */
221/**/ u9 = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
222/**/ ua9 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
223/**/ ub9 = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
224/**/ u10 = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
225/**/ ua10 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
226/**/ ub10 = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
227/**/ u11 = {{0x00000000, 0x39e509b6} }, /* 8.298e-30 */
228/**/ u12 = {{0x00000000, 0x39e509b6} }, /* 8.298e-30 */
229/**/ u13 = {{0x00000000, 0x3c39d80a} }, /* 1.401e-18 */
230/**/ u14 = {{0x00000000, 0x3c374c5a} }, /* 1.263e-18 */
231/**/ u15 = {{0x00000000, 0x3ab5767a} }, /* 6.935e-26 */
232/**/ u16 = {{0x00000000, 0x3ab57744} }, /* 6.936e-26 */
233/**/ u17 = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
234/**/ ua17 = {{0x00000000, 0x3bfdb11f} }, /* 1.006e-19 */
235/**/ ub17 = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
236/**/ u18 = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
237/**/ ua18 = {{0x00000000, 0x3bfdb11f} }, /* 1.006e-19 */
238/**/ ub18 = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
239/**/ u19 = {{0x00000000, 0x39a13b61} }, /* 4.248e-31 */
240/**/ u20 = {{0x00000000, 0x39a13b61} }, /* 4.248e-31 */
241/**/ u21 = {{0x00000000, 0x3c3bb9b8} }, /* 1.503e-18 */
242/**/ u22 = {{0x00000000, 0x3c392e08} }, /* 1.365e-18 */
243/**/ u23 = {{0x00000000, 0x3a0ce706} }, /* 4.560e-29 */
244/**/ u24 = {{0x00000000, 0x3a0cff5d} }, /* 4.575e-29 */
245/**/ u25 = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
246/**/ ua25 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
247/**/ ub25 = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
248/**/ u26 = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
249/**/ ua26 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
250/**/ ub26 = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
251/**/ u27 = {{0x00000000, 0x3ad421cb} }, /* 2.602e-25 */
252/**/ u28 = {{0x00000000, 0x3ad421cb} }, /* 2.602e-25 */
253
254/**/ mp1 = {{0x58000000, 0x3FF921FB} },
255/**/ mp2 = {{0x3C000000, 0xBE4DDE97} },
256/**/ mp3 = {{0x99D747F2, 0xBC8CB3B3} },
257/**/ pp3 = {{0x98000000, 0xBC8CB3B3} },
258/**/ pp4 = {{0x23e32ed7, 0xbacd747f} },
259/**/ hpinv = {{0x6DC9C883, 0x3FE45F30} },
260/**/ toint = {{0x00000000, 0x43380000} };
261
262#endif
263#endif
264
265#endif
266