1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
|
.\" $OpenBSD: infnan.3,v 1.5 2000/11/08 20:43:38 deraadt Exp $
.\"
.\" Copyright (c) 1985, 1991, 1993
.\" The Regents of the University of California. All rights reserved.
.\"
.\" Redistribution and use in source and binary forms, with or without
.\" modification, are permitted provided that the following conditions
.\" are met:
.\" 1. Redistributions of source code must retain the above copyright
.\" notice, this list of conditions and the following disclaimer.
.\" 2. Redistributions in binary form must reproduce the above copyright
.\" notice, this list of conditions and the following disclaimer in the
.\" documentation and/or other materials provided with the distribution.
.\" 3. All advertising materials mentioning features or use of this software
.\" must display the following acknowledgement:
.\" This product includes software developed by the University of
.\" California, Berkeley and its contributors.
.\" 4. Neither the name of the University nor the names of its contributors
.\" may be used to endorse or promote products derived from this software
.\" without specific prior written permission.
.\"
.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
.\" SUCH DAMAGE.
.\"
.\" @(#)infnan.3 8.1 (Berkeley) 6/4/93
.\"
.Dd June 4, 1993
.Dt INFNAN 3
.Os
.Sh NAME
.Nm infnan
.Nd signals invalid floating\-point operations on a
.Tn VAX
(temporary)
.Sh SYNOPSIS
.Fd #include <math.h>
.Ft double
.Fn infnan "int iarg"
.Sh DESCRIPTION
At some time in the future, some of the useful properties of
the Infinities and \*(Nas in the
.Tn IEEE
standard 754 for Binary
Floating\-Point Arithmetic will be simulated in
.Tn UNIX
on the
.Tn DEC VAX
by using its Reserved Operands. Meanwhile, the
Invalid, Overflow and Divide\-by\-Zero exceptions of the
.Tn IEEE
standard are being approximated on a
.Tn VAX
by calls to a
procedure
.Fn infnan
in appropriate places in
.Xr libm 3 .
When
better exception\-handling is implemented in
.Tn UNIX ,
only
.Fn infnan
among the codes in
.Xr libm
will have to be changed.
And users of
.Xr libm
can design their own
.Fn infnan
now to
insulate themselves from future changes.
.Pp
Whenever an elementary function code in
.Xr libm
has to
simulate one of the aforementioned
.Tn IEEE
exceptions, it calls
.Fn infnan iarg
with an appropriate value of
.Fa iarg .
Then a
reserved operand fault stops computation. But
.Fn infnan
could
be replaced by a function with the same name that returns
some plausible value, assigns an apt value to the global
variable
.Va errno ,
and allows computation to resume.
Alternatively, the Reserved Operand Fault Handler could be
changed to respond by returning that plausible value, etc.
instead of aborting.
.Pp
In the table below, the first two columns show various
exceptions signaled by the
.Tn IEEE
standard, and the default
result it prescribes. The third column shows what value is
given to
.Fa iarg
by functions in
.Xr libm
when they
invoke
.Fn infnan iarg
under analogous circumstances on a
.Tn VAX .
Currently
.Fn infnan
stops computation under all those
circumstances. The last two columns offer an alternative;
they suggest a setting for
.Va errno
and a value for a
revised
.Fn infnan
to return. And a C program to
implement that suggestion follows.
.sp 0.5
.Bd -filled -offset indent
.Bl -column "IEEE Sig" "IEEE Default" XXERANGE ERANGExEDOM
.It IEEE Signal IEEE Default Ta
.Fa iarg Ta
.Va errno Ta
.Fn infnan
.It Invalid \*(Na Ta
.Dv EDOM EDOM 0
.It Overflow \(+-\*(If Ta
.Dv ERANGE ERANGE HUGE
.It Div\-by\-0 \(+-Infinity Ta
.Dv \(+-ERANGE ERANGE/EDOM \(+-HUGE
.It ( Ns Dv HUGE No "= 1.7e38 ... nearly 2.0**127)"
.El
.Ed
.Pp
ALTERNATIVE
.Fn infnan :
.Bd -literal -offset indent
#include <math.h>
#include <errno.h>
double
infnan(iarg)
int iarg;
{
switch (iarg) {
case \0ERANGE:
errno = ERANGE;
return (HUGE);
case \-ERANGE:
errno = EDOM;
return (\-HUGE);
default:
errno = EDOM;
return (0);
}
}
.Ed
.Sh SEE ALSO
.Xr intro 2 ,
.Xr math 3 ,
.Xr signal 3
.Pp
.Dv ERANGE
and
.Dv EDOM
are defined in
.Aq Pa errno.h .
(See
.Xr intro 2
for explanation of
.Dv EDOM
and
.Dv ERANGE . )
.Sh HISTORY
The
.Fn infnan
function appeared in
.Bx 4.3 .
|
