1
2/*
3 * IBM Accurate Mathematical Library
4 * Written by International Business Machines Corp.
5 * Copyright (C) 2001-2021 Free Software Foundation, Inc.
6 *
7 * This program is free software; you can redistribute it and/or modify
8 * it under the terms of the GNU Lesser General Public License as published by
9 * the Free Software Foundation; either version 2.1 of the License, or
10 * (at your option) any later version.
11 *
12 * This program is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU Lesser General Public License for more details.
16 *
17 * You should have received a copy of the GNU Lesser General Public License
18 * along with this program; if not, see <https://www.gnu.org/licenses/>.
19 */
20
21/************************************************************************/
22/* MODULE_NAME: atnat2.h */
23/* */
24/* */
25/* common data and variables definition for BIG or LITTLE ENDIAN */
26/************************************************************************/
27
28
29
30#ifndef ATNAT2_H
31#define ATNAT2_H
32
33
34#define MM 5
35#ifdef BIG_ENDI
36
37 static const number
38 /* polynomial I */
39/**/ d3 = {{0xbfd55555, 0x55555555} }, /* -0.333... */
40/**/ d5 = {{0x3fc99999, 0x999997fd} }, /* 0.199... */
41/**/ d7 = {{0xbfc24924, 0x923f7603} }, /* -0.142... */
42/**/ d9 = {{0x3fbc71c6, 0xe5129a3b} }, /* 0.111... */
43/**/ d11 = {{0xbfb74580, 0x22b13c25} }, /* -0.090... */
44/**/ d13 = {{0x3fb375f0, 0x8b31cbce} }, /* 0.076... */
45 /* polynomial II */
46/**/ f3 = {{0xbfd55555, 0x55555555} }, /* -1/3 */
47/**/ ff3 = {{0xbc755555, 0x55555555} }, /* -1/3-f3 */
48/**/ f5 = {{0x3fc99999, 0x9999999a} }, /* 1/5 */
49/**/ ff5 = {{0xbc699999, 0x9999999a} }, /* 1/5-f5 */
50/**/ f7 = {{0xbfc24924, 0x92492492} }, /* -1/7 */
51/**/ ff7 = {{0xbc624924, 0x92492492} }, /* -1/7-f7 */
52/**/ f9 = {{0x3fbc71c7, 0x1c71c71c} }, /* 1/9 */
53/**/ ff9 = {{0x3c5c71c7, 0x1c71c71c} }, /* 1/9-f9 */
54/**/ f11 = {{0xbfb745d1, 0x745d1746} }, /* -1/11 */
55/**/ f13 = {{0x3fb3b13b, 0x13b13b14} }, /* 1/13 */
56/**/ f15 = {{0xbfb11111, 0x11111111} }, /* -1/15 */
57/**/ f17 = {{0x3fae1e1e, 0x1e1e1e1e} }, /* 1/17 */
58/**/ f19 = {{0xbfaaf286, 0xbca1af28} }, /* -1/19 */
59 /* constants */
60/**/ inv16 = {{0x3fb00000, 0x00000000} }, /* 1/16 */
61/**/ opi = {{0x400921fb, 0x54442d18} }, /* pi */
62/**/ opi1 = {{0x3ca1a626, 0x33145c07} }, /* pi-opi */
63/**/ mopi = {{0xc00921fb, 0x54442d18} }, /* -pi */
64/**/ hpi = {{0x3ff921fb, 0x54442d18} }, /* pi/2 */
65/**/ hpi1 = {{0x3c91a626, 0x33145c07} }, /* pi/2-hpi */
66/**/ mhpi = {{0xbff921fb, 0x54442d18} }, /* -pi/2 */
67/**/ qpi = {{0x3fe921fb, 0x54442d18} }, /* pi/4 */
68/**/ mqpi = {{0xbfe921fb, 0x54442d18} }, /* -pi/4 */
69/**/ tqpi = {{0x4002d97c, 0x7f3321d2} }, /* 3pi/4 */
70/**/ mtqpi = {{0xc002d97c, 0x7f3321d2} }, /* -3pi/4 */
71/**/ u1 = {{0x3c314c2a, 0x00000000} }, /* 9.377e-19 */
72/**/ u2 = {{0x3bf955e4, 0x00000000} }, /* 8.584e-20 */
73/**/ u3 = {{0x3bf955e4, 0x00000000} }, /* 8.584e-20 */
74/**/ u4 = {{0x3bf955e4, 0x00000000} }, /* 8.584e-20 */
75/**/ u5 = {{0x3aaef2d1, 0x00000000} }, /* 5e-26 */
76/**/ u6 = {{0x3a6eeb36, 0x00000000} }, /* 3.122e-27 */
77/**/ u7 = {{0x3a6eeb36, 0x00000000} }, /* 3.122e-27 */
78/**/ u8 = {{0x3a6eeb36, 0x00000000} }, /* 3.122e-27 */
79/**/ u91 = {{0x3c6dffc0, 0x00000000} }, /* 1.301e-17 */
80/**/ u92 = {{0x3c527bd0, 0x00000000} }, /* 4.008e-18 */
81/**/ u93 = {{0x3c3cd057, 0x00000000} }, /* 1.562e-18 */
82/**/ u94 = {{0x3c329cdf, 0x00000000} }, /* 1.009e-18 */
83/**/ ua1 = {{0x3c3a1edf, 0x00000000} }, /* 1.416e-18 */
84/**/ ua2 = {{0x3c33f0e1, 0x00000000} }, /* 1.081e-18 */
85/**/ ub = {{0x3a98c56d, 0x00000000} }, /* 2.001e-26 */
86/**/ uc = {{0x3a9375de, 0x00000000} }, /* 1.572e-26 */
87/**/ ud[MM] ={{{0x38c6eddf, 0x00000000} }, /* 3.450e-35 */
88/**/ {{0x35c6ef60, 0x00000000} }, /* 1.226e-49 */
89/**/ {{0x32c6ed2f, 0x00000000} }, /* 4.354e-64 */
90/**/ {{0x23c6eee8, 0x00000000} }, /* 2.465e-136 */
91/**/ {{0x11c6ed16, 0x00000000} }},/* 4.955e-223 */
92/**/ ue = {{0x38900e9d, 0x00000000} }, /* 3.02e-36 */
93/**/ two500 = {{0x5f300000, 0x00000000} }, /* 2**500 */
94/**/ twom500 = {{0x20b00000, 0x00000000} }; /* 2**(-500) */
95
96#else
97#ifdef LITTLE_ENDI
98
99 static const number
100 /* polynomial I */
101/**/ d3 = {{0x55555555, 0xbfd55555} }, /* -0.333... */
102/**/ d5 = {{0x999997fd, 0x3fc99999} }, /* 0.199... */
103/**/ d7 = {{0x923f7603, 0xbfc24924} }, /* -0.142... */
104/**/ d9 = {{0xe5129a3b, 0x3fbc71c6} }, /* 0.111... */
105/**/ d11 = {{0x22b13c25, 0xbfb74580} }, /* -0.090... */
106/**/ d13 = {{0x8b31cbce, 0x3fb375f0} }, /* 0.076... */
107 /* polynomial II */
108/**/ f3 = {{0x55555555, 0xbfd55555} }, /* -1/3 */
109/**/ ff3 = {{0x55555555, 0xbc755555} }, /* -1/3-f3 */
110/**/ f5 = {{0x9999999a, 0x3fc99999} }, /* 1/5 */
111/**/ ff5 = {{0x9999999a, 0xbc699999} }, /* 1/5-f5 */
112/**/ f7 = {{0x92492492, 0xbfc24924} }, /* -1/7 */
113/**/ ff7 = {{0x92492492, 0xbc624924} }, /* -1/7-f7 */
114/**/ f9 = {{0x1c71c71c, 0x3fbc71c7} }, /* 1/9 */
115/**/ ff9 = {{0x1c71c71c, 0x3c5c71c7} }, /* 1/9-f9 */
116/**/ f11 = {{0x745d1746, 0xbfb745d1} }, /* -1/11 */
117/**/ f13 = {{0x13b13b14, 0x3fb3b13b} }, /* 1/13 */
118/**/ f15 = {{0x11111111, 0xbfb11111} }, /* -1/15 */
119/**/ f17 = {{0x1e1e1e1e, 0x3fae1e1e} }, /* 1/17 */
120/**/ f19 = {{0xbca1af28, 0xbfaaf286} }, /* -1/19 */
121 /* constants */
122/**/ inv16 = {{0x00000000, 0x3fb00000} }, /* 1/16 */
123/**/ opi = {{0x54442d18, 0x400921fb} }, /* pi */
124/**/ opi1 = {{0x33145c07, 0x3ca1a626} }, /* pi-opi */
125/**/ mopi = {{0x54442d18, 0xc00921fb} }, /* -pi */
126/**/ hpi = {{0x54442d18, 0x3ff921fb} }, /* pi/2 */
127/**/ hpi1 = {{0x33145c07, 0x3c91a626} }, /* pi/2-hpi */
128/**/ mhpi = {{0x54442d18, 0xbff921fb} }, /* -pi/2 */
129/**/ qpi = {{0x54442d18, 0x3fe921fb} }, /* pi/4 */
130/**/ mqpi = {{0x54442d18, 0xbfe921fb} }, /* -pi/4 */
131/**/ tqpi = {{0x7f3321d2, 0x4002d97c} }, /* 3pi/4 */
132/**/ mtqpi = {{0x7f3321d2, 0xc002d97c} }, /* -3pi/4 */
133/**/ u1 = {{0x00000000, 0x3c314c2a} }, /* 9.377e-19 */
134/**/ u2 = {{0x00000000, 0x3bf955e4} }, /* 8.584e-20 */
135/**/ u3 = {{0x00000000, 0x3bf955e4} }, /* 8.584e-20 */
136/**/ u4 = {{0x00000000, 0x3bf955e4} }, /* 8.584e-20 */
137/**/ u5 = {{0x00000000, 0x3aaef2d1} }, /* 5e-26 */
138/**/ u6 = {{0x00000000, 0x3a6eeb36} }, /* 3.122e-27 */
139/**/ u7 = {{0x00000000, 0x3a6eeb36} }, /* 3.122e-27 */
140/**/ u8 = {{0x00000000, 0x3a6eeb36} }, /* 3.122e-27 */
141/**/ u91 = {{0x00000000, 0x3c6dffc0} }, /* 1.301e-17 */
142/**/ u92 = {{0x00000000, 0x3c527bd0} }, /* 4.008e-18 */
143/**/ u93 = {{0x00000000, 0x3c3cd057} }, /* 1.562e-18 */
144/**/ u94 = {{0x00000000, 0x3c329cdf} }, /* 1.009e-18 */
145/**/ ua1 = {{0x00000000, 0x3c3a1edf} }, /* 1.416e-18 */
146/**/ ua2 = {{0x00000000, 0x3c33f0e1} }, /* 1.081e-18 */
147/**/ ub = {{0x00000000, 0x3a98c56d} }, /* 2.001e-26 */
148/**/ uc = {{0x00000000, 0x3a9375de} }, /* 1.572e-26 */
149/**/ ud[MM] ={{{0x00000000, 0x38c6eddf} }, /* 3.450e-35 */
150/**/ {{0x00000000, 0x35c6ef60} }, /* 1.226e-49 */
151/**/ {{0x00000000, 0x32c6ed2f} }, /* 4.354e-64 */
152/**/ {{0x00000000, 0x23c6eee8} }, /* 2.465e-136 */
153/**/ {{0x00000000, 0x11c6ed16} }},/* 4.955e-223 */
154/**/ ue = {{0x00000000, 0x38900e9d} }, /* 3.02e-36 */
155/**/ two500 = {{0x00000000, 0x5f300000} }, /* 2**500 */
156/**/ twom500 = {{0x00000000, 0x20b00000} }; /* 2**(-500) */
157
158#endif
159#endif
160
161#endif
162