ieee.h revision 1.2 1 1.2 agc /* $NetBSD: ieee.h,v 1.2 2003/08/07 16:27:52 agc Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: ieee.h,v 1.1 1999/04/20 19:44:04 mickey Exp $ */
4 1.1 fredette
5 1.1 fredette /*
6 1.1 fredette * Copyright (c) 1992, 1993
7 1.1 fredette * The Regents of the University of California. All rights reserved.
8 1.1 fredette *
9 1.1 fredette * This software was developed by the Computer Systems Engineering group
10 1.1 fredette * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
11 1.1 fredette * contributed to Berkeley.
12 1.1 fredette *
13 1.1 fredette * All advertising materials mentioning features or use of this software
14 1.1 fredette * must display the following acknowledgement:
15 1.1 fredette * This product includes software developed by the University of
16 1.1 fredette * California, Lawrence Berkeley Laboratory.
17 1.1 fredette *
18 1.1 fredette * Redistribution and use in source and binary forms, with or without
19 1.1 fredette * modification, are permitted provided that the following conditions
20 1.1 fredette * are met:
21 1.1 fredette * 1. Redistributions of source code must retain the above copyright
22 1.1 fredette * notice, this list of conditions and the following disclaimer.
23 1.1 fredette * 2. Redistributions in binary form must reproduce the above copyright
24 1.1 fredette * notice, this list of conditions and the following disclaimer in the
25 1.1 fredette * documentation and/or other materials provided with the distribution.
26 1.2 agc * 3. Neither the name of the University nor the names of its contributors
27 1.1 fredette * may be used to endorse or promote products derived from this software
28 1.1 fredette * without specific prior written permission.
29 1.1 fredette *
30 1.1 fredette * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
31 1.1 fredette * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
32 1.1 fredette * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
33 1.1 fredette * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
34 1.1 fredette * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
35 1.1 fredette * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
36 1.1 fredette * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
37 1.1 fredette * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
38 1.1 fredette * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
39 1.1 fredette * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
40 1.1 fredette * SUCH DAMAGE.
41 1.1 fredette *
42 1.1 fredette * @(#)ieee.h 8.1 (Berkeley) 6/11/93
43 1.1 fredette */
44 1.1 fredette
45 1.1 fredette /*
46 1.1 fredette * ieee.h defines the machine-dependent layout of the machine's IEEE
47 1.1 fredette * floating point. It does *not* define (yet?) any of the rounding
48 1.1 fredette * mode bits, exceptions, and so forth.
49 1.1 fredette */
50 1.1 fredette
51 1.1 fredette /*
52 1.1 fredette * Define the number of bits in each fraction and exponent.
53 1.1 fredette *
54 1.1 fredette * k k+1
55 1.1 fredette * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented
56 1.1 fredette *
57 1.1 fredette * (-exp_bias+1)
58 1.1 fredette * as fractions that look like 0.fffff x 2 . This means that
59 1.1 fredette *
60 1.1 fredette * -126
61 1.1 fredette * the number 0.10000 x 2 , for instance, is the same as the normalized
62 1.1 fredette *
63 1.1 fredette * -127 -128
64 1.1 fredette * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero
65 1.1 fredette *
66 1.1 fredette * -129
67 1.1 fredette * in the fraction; to represent 2 , we need two, and so on. This
68 1.1 fredette *
69 1.1 fredette * (-exp_bias-fracbits+1)
70 1.1 fredette * implies that the smallest denormalized number is 2
71 1.1 fredette *
72 1.1 fredette * for whichever format we are talking about: for single precision, for
73 1.1 fredette *
74 1.1 fredette * -126 -149
75 1.1 fredette * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and
76 1.1 fredette *
77 1.1 fredette * -149 == -127 - 23 + 1.
78 1.1 fredette */
79 1.1 fredette #define SNG_EXPBITS 8
80 1.1 fredette #define SNG_FRACBITS 23
81 1.1 fredette
82 1.1 fredette #define DBL_EXPBITS 11
83 1.1 fredette #define DBL_FRACBITS 52
84 1.1 fredette
85 1.1 fredette #ifdef notyet
86 1.1 fredette #define E80_EXPBITS 15
87 1.1 fredette #define E80_FRACBITS 64
88 1.1 fredette #endif
89 1.1 fredette
90 1.1 fredette #define EXT_EXPBITS 15
91 1.1 fredette #define EXT_FRACBITS 112
92 1.1 fredette
93 1.1 fredette struct ieee_single {
94 1.1 fredette u_int sng_sign:1;
95 1.1 fredette u_int sng_exp:8;
96 1.1 fredette u_int sng_frac:23;
97 1.1 fredette };
98 1.1 fredette
99 1.1 fredette struct ieee_double {
100 1.1 fredette u_int dbl_sign:1;
101 1.1 fredette u_int dbl_exp:11;
102 1.1 fredette u_int dbl_frach:20;
103 1.1 fredette u_int dbl_fracl;
104 1.1 fredette };
105 1.1 fredette
106 1.1 fredette struct ieee_ext {
107 1.1 fredette u_int ext_sign:1;
108 1.1 fredette u_int ext_exp:15;
109 1.1 fredette u_int ext_frach:16;
110 1.1 fredette u_int ext_frachm;
111 1.1 fredette u_int ext_fraclm;
112 1.1 fredette u_int ext_fracl;
113 1.1 fredette };
114 1.1 fredette
115 1.1 fredette /*
116 1.1 fredette * Floats whose exponent is in [1..INFNAN) (of whatever type) are
117 1.1 fredette * `normal'. Floats whose exponent is INFNAN are either Inf or NaN.
118 1.1 fredette * Floats whose exponent is zero are either zero (iff all fraction
119 1.1 fredette * bits are zero) or subnormal values.
120 1.1 fredette *
121 1.1 fredette * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
122 1.1 fredette * high fraction; if the bit is set, it is a `quiet NaN'.
123 1.1 fredette */
124 1.1 fredette #define SNG_EXP_INFNAN 255
125 1.1 fredette #define DBL_EXP_INFNAN 2047
126 1.1 fredette #define EXT_EXP_INFNAN 32767
127 1.1 fredette
128 1.1 fredette #if 0
129 1.1 fredette #define SNG_QUIETNAN (1 << 22)
130 1.1 fredette #define DBL_QUIETNAN (1 << 19)
131 1.1 fredette #define EXT_QUIETNAN (1 << 15)
132 1.1 fredette #endif
133 1.1 fredette
134 1.1 fredette /*
135 1.1 fredette * Exponent biases.
136 1.1 fredette */
137 1.1 fredette #define SNG_EXP_BIAS 127
138 1.1 fredette #define DBL_EXP_BIAS 1023
139 1.1 fredette #define EXT_EXP_BIAS 16383
140