1 |
56 |
joel |
/****************************************************************
|
2 |
|
|
*
|
3 |
|
|
* The author of this software is David M. Gay.
|
4 |
|
|
*
|
5 |
|
|
* Copyright (c) 1991 by AT&T.
|
6 |
|
|
*
|
7 |
|
|
* Permission to use, copy, modify, and distribute this software for any
|
8 |
|
|
* purpose without fee is hereby granted, provided that this entire notice
|
9 |
|
|
* is included in all copies of any software which is or includes a copy
|
10 |
|
|
* or modification of this software and in all copies of the supporting
|
11 |
|
|
* documentation for such software.
|
12 |
|
|
*
|
13 |
|
|
* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
|
14 |
|
|
* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
|
15 |
|
|
* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
|
16 |
|
|
* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
|
17 |
|
|
*
|
18 |
|
|
***************************************************************/
|
19 |
|
|
|
20 |
|
|
/* Please send bug reports to
|
21 |
|
|
David M. Gay
|
22 |
|
|
AT&T Bell Laboratories, Room 2C-463
|
23 |
|
|
600 Mountain Avenue
|
24 |
|
|
Murray Hill, NJ 07974-2070
|
25 |
|
|
U.S.A.
|
26 |
|
|
dmg@research.att.com or research!dmg
|
27 |
|
|
*/
|
28 |
|
|
|
29 |
|
|
/* This header file is a modification of mprec.h that only contains floating
|
30 |
|
|
point union code. */
|
31 |
|
|
|
32 |
|
|
#include <ieeefp.h>
|
33 |
|
|
#include <math.h>
|
34 |
|
|
#include <float.h>
|
35 |
|
|
#include <errno.h>
|
36 |
|
|
#include <sys/config.h>
|
37 |
|
|
|
38 |
|
|
#ifdef __IEEE_LITTLE_ENDIAN
|
39 |
|
|
#define IEEE_8087
|
40 |
|
|
#endif
|
41 |
|
|
|
42 |
|
|
#ifdef __IEEE_BIG_ENDIAN
|
43 |
|
|
#define IEEE_MC68k
|
44 |
|
|
#endif
|
45 |
|
|
|
46 |
|
|
#ifdef __Z8000__
|
47 |
|
|
#define Just_16
|
48 |
|
|
#endif
|
49 |
|
|
|
50 |
|
|
#ifdef Unsigned_Shifts
|
51 |
|
|
#define Sign_Extend(a,b) if (b < 0) a |= (__uint32_t)0xffff0000;
|
52 |
|
|
#else
|
53 |
|
|
#define Sign_Extend(a,b) /*no-op*/
|
54 |
|
|
#endif
|
55 |
|
|
|
56 |
|
|
#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
|
57 |
|
|
Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
|
58 |
|
|
#endif
|
59 |
|
|
|
60 |
|
|
/* If we are going to examine or modify specific bits in a double using
|
61 |
|
|
the word0 and/or word1 macros, then we must wrap the double inside
|
62 |
|
|
a union. This is necessary to avoid undefined behavior according to
|
63 |
|
|
the ANSI C spec. */
|
64 |
|
|
union double_union
|
65 |
|
|
{
|
66 |
|
|
double d;
|
67 |
|
|
__uint32_t i[2];
|
68 |
|
|
};
|
69 |
|
|
|
70 |
|
|
#ifdef IEEE_8087
|
71 |
|
|
#define word0(x) (x.i[1])
|
72 |
|
|
#define word1(x) (x.i[0])
|
73 |
|
|
#else
|
74 |
|
|
#define word0(x) (x.i[0])
|
75 |
|
|
#define word1(x) (x.i[1])
|
76 |
|
|
#endif
|
77 |
|
|
|
78 |
|
|
/* #define P DBL_MANT_DIG */
|
79 |
|
|
/* Ten_pmax = floor(P*log(2)/log(5)) */
|
80 |
|
|
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
|
81 |
|
|
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
|
82 |
|
|
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
|
83 |
|
|
|
84 |
|
|
#if defined(IEEE_8087) + defined(IEEE_MC68k)
|
85 |
|
|
#if defined (_DOUBLE_IS_32BITS)
|
86 |
|
|
#define Exp_shift 23
|
87 |
|
|
#define Exp_shift1 23
|
88 |
|
|
#define Exp_msk1 ((__uint32_t)0x00800000L)
|
89 |
|
|
#define Exp_msk11 ((__uint32_t)0x00800000L)
|
90 |
|
|
#define Exp_mask ((__uint32_t)0x7f800000L)
|
91 |
|
|
#define P 24
|
92 |
|
|
#define Bias 127
|
93 |
|
|
#if 0
|
94 |
|
|
#define IEEE_Arith /* it is, but the code doesn't handle IEEE singles yet */
|
95 |
|
|
#endif
|
96 |
|
|
#define Emin (-126)
|
97 |
|
|
#define Exp_1 ((__uint32_t)0x3f800000L)
|
98 |
|
|
#define Exp_11 ((__uint32_t)0x3f800000L)
|
99 |
|
|
#define Ebits 8
|
100 |
|
|
#define Frac_mask ((__uint32_t)0x007fffffL)
|
101 |
|
|
#define Frac_mask1 ((__uint32_t)0x007fffffL)
|
102 |
|
|
#define Ten_pmax 10
|
103 |
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
104 |
|
|
#define Ten_pmax 10
|
105 |
|
|
#define Bletch 2
|
106 |
|
|
#define Bndry_mask ((__uint32_t)0x007fffffL)
|
107 |
|
|
#define Bndry_mask1 ((__uint32_t)0x007fffffL)
|
108 |
|
|
#define LSB 1
|
109 |
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
110 |
|
|
#define Log2P 1
|
111 |
|
|
#define Tiny0 0
|
112 |
|
|
#define Tiny1 1
|
113 |
|
|
#define Quick_max 5
|
114 |
|
|
#define Int_max 6
|
115 |
|
|
#define Infinite(x) (word0(x) == ((__uint32_t)0x7f800000L))
|
116 |
|
|
#undef word0
|
117 |
|
|
#undef word1
|
118 |
|
|
|
119 |
|
|
#define word0(x) (x.i[0])
|
120 |
|
|
#define word1(x) 0
|
121 |
|
|
#else
|
122 |
|
|
|
123 |
|
|
#define Exp_shift 20
|
124 |
|
|
#define Exp_shift1 20
|
125 |
|
|
#define Exp_msk1 ((__uint32_t)0x100000L)
|
126 |
|
|
#define Exp_msk11 ((__uint32_t)0x100000L)
|
127 |
|
|
#define Exp_mask ((__uint32_t)0x7ff00000L)
|
128 |
|
|
#define P 53
|
129 |
|
|
#define Bias 1023
|
130 |
|
|
#define IEEE_Arith
|
131 |
|
|
#define Emin (-1022)
|
132 |
|
|
#define Exp_1 ((__uint32_t)0x3ff00000L)
|
133 |
|
|
#define Exp_11 ((__uint32_t)0x3ff00000L)
|
134 |
|
|
#define Ebits 11
|
135 |
|
|
#define Frac_mask ((__uint32_t)0xfffffL)
|
136 |
|
|
#define Frac_mask1 ((__uint32_t)0xfffffL)
|
137 |
|
|
#define Ten_pmax 22
|
138 |
|
|
#define Bletch 0x10
|
139 |
|
|
#define Bndry_mask ((__uint32_t)0xfffffL)
|
140 |
|
|
#define Bndry_mask1 ((__uint32_t)0xfffffL)
|
141 |
|
|
#define LSB 1
|
142 |
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
143 |
|
|
#define Log2P 1
|
144 |
|
|
#define Tiny0 0
|
145 |
|
|
#define Tiny1 1
|
146 |
|
|
#define Quick_max 14
|
147 |
|
|
#define Int_max 14
|
148 |
|
|
#define Infinite(x) (word0(x) == ((__uint32_t)0x7ff00000L)) /* sufficient test for here */
|
149 |
|
|
#endif
|
150 |
|
|
|
151 |
|
|
#else
|
152 |
|
|
#undef Sudden_Underflow
|
153 |
|
|
#define Sudden_Underflow
|
154 |
|
|
#ifdef IBM
|
155 |
|
|
#define Exp_shift 24
|
156 |
|
|
#define Exp_shift1 24
|
157 |
|
|
#define Exp_msk1 ((__uint32_t)0x1000000L)
|
158 |
|
|
#define Exp_msk11 ((__uint32_t)0x1000000L)
|
159 |
|
|
#define Exp_mask ((__uint32_t)0x7f000000L)
|
160 |
|
|
#define P 14
|
161 |
|
|
#define Bias 65
|
162 |
|
|
#define Exp_1 ((__uint32_t)0x41000000L)
|
163 |
|
|
#define Exp_11 ((__uint32_t)0x41000000L)
|
164 |
|
|
#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
|
165 |
|
|
#define Frac_mask ((__uint32_t)0xffffffL)
|
166 |
|
|
#define Frac_mask1 ((__uint32_t)0xffffffL)
|
167 |
|
|
#define Bletch 4
|
168 |
|
|
#define Ten_pmax 22
|
169 |
|
|
#define Bndry_mask ((__uint32_t)0xefffffL)
|
170 |
|
|
#define Bndry_mask1 ((__uint32_t)0xffffffL)
|
171 |
|
|
#define LSB 1
|
172 |
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
173 |
|
|
#define Log2P 4
|
174 |
|
|
#define Tiny0 ((__uint32_t)0x100000L)
|
175 |
|
|
#define Tiny1 0
|
176 |
|
|
#define Quick_max 14
|
177 |
|
|
#define Int_max 15
|
178 |
|
|
#else /* VAX */
|
179 |
|
|
#define Exp_shift 23
|
180 |
|
|
#define Exp_shift1 7
|
181 |
|
|
#define Exp_msk1 0x80
|
182 |
|
|
#define Exp_msk11 ((__uint32_t)0x800000L)
|
183 |
|
|
#define Exp_mask ((__uint32_t)0x7f80L)
|
184 |
|
|
#define P 56
|
185 |
|
|
#define Bias 129
|
186 |
|
|
#define Exp_1 ((__uint32_t)0x40800000L)
|
187 |
|
|
#define Exp_11 ((__uint32_t)0x4080L)
|
188 |
|
|
#define Ebits 8
|
189 |
|
|
#define Frac_mask ((__uint32_t)0x7fffffL)
|
190 |
|
|
#define Frac_mask1 ((__uint32_t)0xffff007fL)
|
191 |
|
|
#define Ten_pmax 24
|
192 |
|
|
#define Bletch 2
|
193 |
|
|
#define Bndry_mask ((__uint32_t)0xffff007fL)
|
194 |
|
|
#define Bndry_mask1 ((__uint32_t)0xffff007fL)
|
195 |
|
|
#define LSB ((__uint32_t)0x10000L)
|
196 |
|
|
#define Sign_bit ((__uint32_t)0x8000L)
|
197 |
|
|
#define Log2P 1
|
198 |
|
|
#define Tiny0 0x80
|
199 |
|
|
#define Tiny1 0
|
200 |
|
|
#define Quick_max 15
|
201 |
|
|
#define Int_max 15
|
202 |
|
|
#endif
|
203 |
|
|
#endif
|
204 |
|
|
|
205 |
|
|
|