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
|
.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
.TH "COSH" 3P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
.\" cosh
.SH NAME
cosh, coshf, coshl \- hyperbolic cosine functions
.SH SYNOPSIS
.LP
\fB#include <math.h>
.br
.sp
double cosh(double\fP \fIx\fP\fB);
.br
float coshf(float\fP \fIx\fP\fB);
.br
long double coshl(long double\fP \fIx\fP\fB);
.br
\fP
.SH DESCRIPTION
.LP
These functions shall compute the hyperbolic cosine of their argument
\fIx\fP.
.LP
An application wishing to check for error situations should set \fIerrno\fP
to zero and call
\fIfeclearexcept\fP(FE_ALL_EXCEPT) before calling these functions.
On return, if \fIerrno\fP is non-zero or
\fIfetestexcept\fP(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW)
is non-zero, an error has occurred.
.SH RETURN VALUE
.LP
Upon successful completion, these functions shall return the hyperbolic
cosine of \fIx\fP.
.LP
If the correct value would cause overflow, a range error shall occur
and \fIcosh\fP(), \fIcoshf\fP(), and \fIcoshl\fP() shall
return the value of the macro HUGE_VAL, HUGE_VALF, and HUGE_VALL,
respectively.
.LP
If
\fIx\fP is NaN, a NaN shall be returned.
.LP
If \fIx\fP is \(+-0, the value 1.0 shall be returned.
.LP
If \fIx\fP is \(+-Inf, +Inf shall be returned.
.SH ERRORS
.LP
These functions shall fail if:
.TP 7
Range\ Error
The result would cause an overflow.
.LP
If the integer expression (math_errhandling & MATH_ERRNO) is non-zero,
then \fIerrno\fP shall be set to [ERANGE]. If the
integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero,
then the overflow floating-point exception shall be
raised.
.sp
.LP
\fIThe following sections are informative.\fP
.SH EXAMPLES
.LP
None.
.SH APPLICATION USAGE
.LP
On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling
& MATH_ERREXCEPT) are independent of
each other, but at least one of them must be non-zero.
.LP
For IEEE\ Std\ 754-1985 \fBdouble\fP, 710.5 < |\fIx\fP| implies that
\fIcosh\fP( \fIx\fP) has overflowed.
.SH RATIONALE
.LP
None.
.SH FUTURE DIRECTIONS
.LP
None.
.SH SEE ALSO
.LP
\fIacosh\fP() , \fIfeclearexcept\fP() , \fIfetestexcept\fP() , \fIisnan\fP()
, \fIsinh\fP() ,
\fItanh\fP() , the Base Definitions volume of IEEE\ Std\ 1003.1-2001,
Section 4.18, Treatment of Error Conditions for Mathematical Functions,
\fI<math.h>\fP
.SH COPYRIGHT
Portions of this text are reprinted and reproduced in electronic form
from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
-- Portable Operating System Interface (POSIX), The Open Group Base
Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
Electrical and Electronics Engineers, Inc and The Open Group. In the
event of any discrepancy between this version and the original IEEE and
The Open Group Standard, the original IEEE and The Open Group Standard
is the referee document. The original Standard can be obtained online at
http://www.opengroup.org/unix/online.html .
|
