ieee.h revision 1.1 1 /* $NetBSD: ieee.h,v 1.1 1997/10/14 06:48:21 sakamoto Exp $ */
2
3 /*
4 * Copyright (c) 1992, 1993
5 * The Regents of the University of California. All rights reserved.
6 *
7 * This software was developed by the Computer Systems Engineering group
8 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
9 * contributed to Berkeley.
10 *
11 * All advertising materials mentioning features or use of this software
12 * must display the following acknowledgement:
13 * This product includes software developed by the University of
14 * California, Lawrence Berkeley Laboratory.
15 *
16 * Redistribution and use in source and binary forms, with or without
17 * modification, are permitted provided that the following conditions
18 * are met:
19 * 1. Redistributions of source code must retain the above copyright
20 * notice, this list of conditions and the following disclaimer.
21 * 2. Redistributions in binary form must reproduce the above copyright
22 * notice, this list of conditions and the following disclaimer in the
23 * documentation and/or other materials provided with the distribution.
24 * 3. All advertising materials mentioning features or use of this software
25 * must display the following acknowledgement:
26 * This product includes software developed by the University of
27 * California, Berkeley and its contributors.
28 * 4. Neither the name of the University nor the names of its contributors
29 * may be used to endorse or promote products derived from this software
30 * without specific prior written permission.
31 *
32 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
33 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
34 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
35 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
36 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
37 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
38 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
39 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
40 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
41 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
42 * SUCH DAMAGE.
43 *
44 * @(#)ieee.h 8.1 (Berkeley) 6/11/93
45 */
46
47 /*
48 * ieee.h defines the machine-dependent layout of the machine's IEEE
49 * floating point. It does *not* define (yet?) any of the rounding
50 * mode bits, exceptions, and so forth.
51 */
52
53 /*
54 * Define the number of bits in each fraction and exponent.
55 *
56 * k k+1
57 * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented
58 *
59 * (-exp_bias+1)
60 * as fractions that look like 0.fffff x 2 . This means that
61 *
62 * -126
63 * the number 0.10000 x 2 , for instance, is the same as the normalized
64 *
65 * -127 -128
66 * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero
67 *
68 * -129
69 * in the fraction; to represent 2 , we need two, and so on. This
70 *
71 * (-exp_bias-fracbits+1)
72 * implies that the smallest denormalized number is 2
73 *
74 * for whichever format we are talking about: for single precision, for
75 *
76 * -126 -149
77 * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and
78 *
79 * -149 == -127 - 23 + 1.
80 */
81 #define SNG_EXPBITS 8
82 #define SNG_FRACBITS 23
83
84 #define DBL_EXPBITS 11
85 #define DBL_FRACBITS 52
86
87 #define EXT_EXPBITS 15
88 #define EXT_FRACBITS 112
89
90 struct ieee_single {
91 u_int sng_sign:1;
92 u_int sng_exp:8;
93 u_int sng_frac:23;
94 };
95
96 struct ieee_double {
97 u_int dbl_sign:1;
98 u_int dbl_exp:11;
99 u_int dbl_frach:20;
100 u_int dbl_fracl;
101 };
102
103 struct ieee_ext {
104 u_int ext_sign:1;
105 u_int ext_exp:15;
106 u_int ext_frach:16;
107 u_int ext_frachm;
108 u_int ext_fraclm;
109 u_int ext_fracl;
110 };
111
112 /*
113 * Floats whose exponent is in [1..INFNAN) (of whatever type) are
114 * `normal'. Floats whose exponent is INFNAN are either Inf or NaN.
115 * Floats whose exponent is zero are either zero (iff all fraction
116 * bits are zero) or subnormal values.
117 *
118 * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
119 * high fraction; if the bit is set, it is a `quiet NaN'.
120 */
121 #define SNG_EXP_INFNAN 255
122 #define DBL_EXP_INFNAN 2047
123 #define EXT_EXP_INFNAN 32767
124
125 #if 0
126 #define SNG_QUIETNAN (1 << 22)
127 #define DBL_QUIETNAN (1 << 19)
128 #define EXT_QUIETNAN (1 << 15)
129 #endif
130
131 /*
132 * Exponent biases.
133 */
134 #define SNG_EXP_BIAS 127
135 #define DBL_EXP_BIAS 1023
136 #define EXT_EXP_BIAS 16383
137