1/*
2 * IBM Accurate Mathematical Library
3 * Written by International Business Machines Corp.
4 * Copyright (C) 2001-2016 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 <http://www.gnu.org/licenses/>.
18 */
19
20/******************************************************************/
21/* */
22/* MODULE_NAME:ulog.h */
23/* */
24/* common data and variables prototype and definition */
25/******************************************************************/
26
27#ifndef ULOG_H
28#define ULOG_H
29
30#ifdef BIG_ENDI
31 static const number
32 /* polynomial I */
33/**/ a2 = {{0xbfe00000, 0x0001aa8f} }, /* -0.500... */
34/**/ a3 = {{0x3fd55555, 0x55588d2e} }, /* 0.333... */
35 /* polynomial II */
36/**/ b0 = {{0x3fd55555, 0x55555555} }, /* 0.333... */
37/**/ b1 = {{0xbfcfffff, 0xffffffbb} }, /* -0.249... */
38/**/ b2 = {{0x3fc99999, 0x9999992f} }, /* 0.199... */
39/**/ b3 = {{0xbfc55555, 0x556503fd} }, /* -0.166... */
40/**/ b4 = {{0x3fc24924, 0x925b3d62} }, /* 0.142... */
41/**/ b5 = {{0xbfbffffe, 0x160472fc} }, /* -0.124... */
42/**/ b6 = {{0x3fbc71c5, 0x25db58ac} }, /* 0.111... */
43/**/ b7 = {{0xbfb9a4ac, 0x11a2a61c} }, /* -0.100... */
44/**/ b8 = {{0x3fb75077, 0x0df2b591} }, /* 0.091... */
45 /* polynomial III */
46#if 0
47/**/ c1 = {{0x3ff00000, 0x00000000} }, /* 1 */
48#endif
49/**/ c2 = {{0xbfe00000, 0x00000000} }, /* -1/2 */
50/**/ c3 = {{0x3fd55555, 0x55555555} }, /* 1/3 */
51/**/ c4 = {{0xbfd00000, 0x00000000} }, /* -1/4 */
52/**/ c5 = {{0x3fc99999, 0x9999999a} }, /* 1/5 */
53 /* polynomial IV */
54/**/ d2 = {{0xbfe00000, 0x00000000} }, /* -1/2 */
55/**/ dd2 = {{0x00000000, 0x00000000} }, /* -1/2-d2 */
56/**/ d3 = {{0x3fd55555, 0x55555555} }, /* 1/3 */
57/**/ dd3 = {{0x3c755555, 0x55555555} }, /* 1/3-d3 */
58/**/ d4 = {{0xbfd00000, 0x00000000} }, /* -1/4 */
59/**/ dd4 = {{0x00000000, 0x00000000} }, /* -1/4-d4 */
60/**/ d5 = {{0x3fc99999, 0x9999999a} }, /* 1/5 */
61/**/ dd5 = {{0xbc699999, 0x9999999a} }, /* 1/5-d5 */
62/**/ d6 = {{0xbfc55555, 0x55555555} }, /* -1/6 */
63/**/ dd6 = {{0xbc655555, 0x55555555} }, /* -1/6-d6 */
64/**/ d7 = {{0x3fc24924, 0x92492492} }, /* 1/7 */
65/**/ dd7 = {{0x3c624924, 0x92492492} }, /* 1/7-d7 */
66/**/ d8 = {{0xbfc00000, 0x00000000} }, /* -1/8 */
67/**/ dd8 = {{0x00000000, 0x00000000} }, /* -1/8-d8 */
68/**/ d9 = {{0x3fbc71c7, 0x1c71c71c} }, /* 1/9 */
69/**/ dd9 = {{0x3c5c71c7, 0x1c71c71c} }, /* 1/9-d9 */
70/**/ d10 = {{0xbfb99999, 0x9999999a} }, /* -1/10 */
71/**/ dd10 = {{0x3c599999, 0x9999999a} }, /* -1/10-d10 */
72/**/ d11 = {{0x3fb745d1, 0x745d1746} }, /* 1/11 */
73/**/ d12 = {{0xbfb55555, 0x55555555} }, /* -1/12 */
74/**/ d13 = {{0x3fb3b13b, 0x13b13b14} }, /* 1/13 */
75/**/ d14 = {{0xbfb24924, 0x92492492} }, /* -1/14 */
76/**/ d15 = {{0x3fb11111, 0x11111111} }, /* 1/15 */
77/**/ d16 = {{0xbfb00000, 0x00000000} }, /* -1/16 */
78/**/ d17 = {{0x3fae1e1e, 0x1e1e1e1e} }, /* 1/17 */
79/**/ d18 = {{0xbfac71c7, 0x1c71c71c} }, /* -1/18 */
80/**/ d19 = {{0x3faaf286, 0xbca1af28} }, /* 1/19 */
81/**/ d20 = {{0xbfa99999, 0x9999999a} }, /* -1/20 */
82 /* constants */
83/**/ sqrt_2 = {{0x3ff6a09e, 0x667f3bcc} }, /* sqrt(2) */
84/**/ h1 = {{0x3fd2e000, 0x00000000} }, /* 151/2**9 */
85/**/ h2 = {{0x3f669000, 0x00000000} }, /* 361/2**17 */
86/**/ delu = {{0x3f700000, 0x00000000} }, /* 1/2**8 */
87/**/ delv = {{0x3ef00000, 0x00000000} }, /* 1/2**16 */
88/**/ ln2a = {{0x3fe62e42, 0xfefa3800} }, /* ln(2) 43 bits */
89/**/ ln2b = {{0x3d2ef357, 0x93c76730} }, /* ln(2)-ln2a */
90/**/ e1 = {{0x3bbcc868, 0x00000000} }, /* 6.095e-21 */
91/**/ e2 = {{0x3c1138ce, 0x00000000} }, /* 2.334e-19 */
92/**/ e3 = {{0x3aa1565d, 0x00000000} }, /* 2.801e-26 */
93/**/ e4 = {{0x39809d88, 0x00000000} }, /* 1.024e-31 */
94/**/ e[M] ={{{0x37da223a, 0x00000000} }, /* 1.2e-39 */
95/**/ {{0x35c851c4, 0x00000000} }, /* 1.3e-49 */
96/**/ {{0x2ab85e51, 0x00000000} }, /* 6.8e-103 */
97/**/ {{0x17383827, 0x00000000} }},/* 8.1e-197 */
98/**/ two54 = {{0x43500000, 0x00000000} }, /* 2**54 */
99/**/ u03 = {{0x3f9eb851, 0xeb851eb8} }; /* 0.03 */
100
101#else
102#ifdef LITTLE_ENDI
103 static const number
104 /* polynomial I */
105/**/ a2 = {{0x0001aa8f, 0xbfe00000} }, /* -0.500... */
106/**/ a3 = {{0x55588d2e, 0x3fd55555} }, /* 0.333... */
107 /* polynomial II */
108/**/ b0 = {{0x55555555, 0x3fd55555} }, /* 0.333... */
109/**/ b1 = {{0xffffffbb, 0xbfcfffff} }, /* -0.249... */
110/**/ b2 = {{0x9999992f, 0x3fc99999} }, /* 0.199... */
111/**/ b3 = {{0x556503fd, 0xbfc55555} }, /* -0.166... */
112/**/ b4 = {{0x925b3d62, 0x3fc24924} }, /* 0.142... */
113/**/ b5 = {{0x160472fc, 0xbfbffffe} }, /* -0.124... */
114/**/ b6 = {{0x25db58ac, 0x3fbc71c5} }, /* 0.111... */
115/**/ b7 = {{0x11a2a61c, 0xbfb9a4ac} }, /* -0.100... */
116/**/ b8 = {{0x0df2b591, 0x3fb75077} }, /* 0.091... */
117 /* polynomial III */
118#if 0
119/**/ c1 = {{0x00000000, 0x3ff00000} }, /* 1 */
120#endif
121/**/ c2 = {{0x00000000, 0xbfe00000} }, /* -1/2 */
122/**/ c3 = {{0x55555555, 0x3fd55555} }, /* 1/3 */
123/**/ c4 = {{0x00000000, 0xbfd00000} }, /* -1/4 */
124/**/ c5 = {{0x9999999a, 0x3fc99999} }, /* 1/5 */
125 /* polynomial IV */
126/**/ d2 = {{0x00000000, 0xbfe00000} }, /* -1/2 */
127/**/ dd2 = {{0x00000000, 0x00000000} }, /* -1/2-d2 */
128/**/ d3 = {{0x55555555, 0x3fd55555} }, /* 1/3 */
129/**/ dd3 = {{0x55555555, 0x3c755555} }, /* 1/3-d3 */
130/**/ d4 = {{0x00000000, 0xbfd00000} }, /* -1/4 */
131/**/ dd4 = {{0x00000000, 0x00000000} }, /* -1/4-d4 */
132/**/ d5 = {{0x9999999a, 0x3fc99999} }, /* 1/5 */
133/**/ dd5 = {{0x9999999a, 0xbc699999} }, /* 1/5-d5 */
134/**/ d6 = {{0x55555555, 0xbfc55555} }, /* -1/6 */
135/**/ dd6 = {{0x55555555, 0xbc655555} }, /* -1/6-d6 */
136/**/ d7 = {{0x92492492, 0x3fc24924} }, /* 1/7 */
137/**/ dd7 = {{0x92492492, 0x3c624924} }, /* 1/7-d7 */
138/**/ d8 = {{0x00000000, 0xbfc00000} }, /* -1/8 */
139/**/ dd8 = {{0x00000000, 0x00000000} }, /* -1/8-d8 */
140/**/ d9 = {{0x1c71c71c, 0x3fbc71c7} }, /* 1/9 */
141/**/ dd9 = {{0x1c71c71c, 0x3c5c71c7} }, /* 1/9-d9 */
142/**/ d10 = {{0x9999999a, 0xbfb99999} }, /* -1/10 */
143/**/ dd10 = {{0x9999999a, 0x3c599999} }, /* -1/10-d10 */
144/**/ d11 = {{0x745d1746, 0x3fb745d1} }, /* 1/11 */
145/**/ d12 = {{0x55555555, 0xbfb55555} }, /* -1/12 */
146/**/ d13 = {{0x13b13b14, 0x3fb3b13b} }, /* 1/13 */
147/**/ d14 = {{0x92492492, 0xbfb24924} }, /* -1/14 */
148/**/ d15 = {{0x11111111, 0x3fb11111} }, /* 1/15 */
149/**/ d16 = {{0x00000000, 0xbfb00000} }, /* -1/16 */
150/**/ d17 = {{0x1e1e1e1e, 0x3fae1e1e} }, /* 1/17 */
151/**/ d18 = {{0x1c71c71c, 0xbfac71c7} }, /* -1/18 */
152/**/ d19 = {{0xbca1af28, 0x3faaf286} }, /* 1/19 */
153/**/ d20 = {{0x9999999a, 0xbfa99999} }, /* -1/20 */
154 /* constants */
155/**/ sqrt_2 = {{0x667f3bcc, 0x3ff6a09e} }, /* sqrt(2) */
156/**/ h1 = {{0x00000000, 0x3fd2e000} }, /* 151/2**9 */
157/**/ h2 = {{0x00000000, 0x3f669000} }, /* 361/2**17 */
158/**/ delu = {{0x00000000, 0x3f700000} }, /* 1/2**8 */
159/**/ delv = {{0x00000000, 0x3ef00000} }, /* 1/2**16 */
160/**/ ln2a = {{0xfefa3800, 0x3fe62e42} }, /* ln(2) 43 bits */
161/**/ ln2b = {{0x93c76730, 0x3d2ef357} }, /* ln(2)-ln2a */
162/**/ e1 = {{0x00000000, 0x3bbcc868} }, /* 6.095e-21 */
163/**/ e2 = {{0x00000000, 0x3c1138ce} }, /* 2.334e-19 */
164/**/ e3 = {{0x00000000, 0x3aa1565d} }, /* 2.801e-26 */
165/**/ e4 = {{0x00000000, 0x39809d88} }, /* 1.024e-31 */
166/**/ e[M] ={{{0x00000000, 0x37da223a} }, /* 1.2e-39 */
167/**/ {{0x00000000, 0x35c851c4} }, /* 1.3e-49 */
168/**/ {{0x00000000, 0x2ab85e51} }, /* 6.8e-103 */
169/**/ {{0x00000000, 0x17383827} }},/* 8.1e-197 */
170/**/ two54 = {{0x00000000, 0x43500000} }, /* 2**54 */
171/**/ u03 = {{0xeb851eb8, 0x3f9eb851} }; /* 0.03 */
172
173#endif
174#endif
175
176#define SQRT_2 sqrt_2.d
177#define DEL_U delu.d
178#define DEL_V delv.d
179#define LN2A ln2a.d
180#define LN2B ln2b.d
181#define E1 e1.d
182#define E2 e2.d
183#define E3 e3.d
184#define E4 e4.d
185#define U03 u03.d
186
187#endif
188