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fea681da 1.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
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2.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
3.\" <mtk.manpages@gmail.com>
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4.\"
5.\" Permission is granted to make and distribute verbatim copies of this
6.\" manual provided the copyright notice and this permission notice are
7.\" preserved on all copies.
8.\"
9.\" Permission is granted to copy and distribute modified versions of this
10.\" manual under the conditions for verbatim copying, provided that the
11.\" entire resulting derived work is distributed under the terms of a
12.\" permission notice identical to this one.
c13182ef 13.\"
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14.\" Since the Linux kernel and libraries are constantly changing, this
15.\" manual page may be incorrect or out-of-date. The author(s) assume no
16.\" responsibility for errors or omissions, or for damages resulting from
17.\" the use of the information contained herein. The author(s) may not
18.\" have taken the same level of care in the production of this manual,
19.\" which is licensed free of charge, as they might when working
20.\" professionally.
c13182ef 21.\"
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22.\" Formatted or processed versions of this manual, if unaccompanied by
23.\" the source, must acknowledge the copyright and authors of this work.
24.\"
25.\" References consulted:
26.\" Linux libc source code
27.\" Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991)
28.\" 386BSD man pages
29.\" Modified 1993-07-24 by Rik Faith (faith@cs.unc.edu)
30.\" Modified 1996-06-08 by aeb
31.\" Modified 2002-07-27 by Walter Harms
32.\" (walter.harms@informatik.uni-oldenburg.de)
33.\"
50831f9b 34.TH COSH 3 2010-09-20 "" "Linux Programmer's Manual"
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35.SH NAME
36cosh, coshf, coshl \- hyperbolic cosine function
37.SH SYNOPSIS
38.nf
39.B #include <math.h>
40.sp
41.BI "double cosh(double " x );
42.br
43.BI "float coshf(float " x );
44.br
45.BI "long double coshl(long double " x );
46.fi
47.sp
20c58d70 48Link with \fI\-lm\fP.
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49.sp
50.in -4n
51Feature Test Macro Requirements for glibc (see
52.BR feature_test_macros (7)):
53.in
54.sp
55.ad l
56.BR coshf (),
57.BR coshl ():
b90c43a8 58.RS 4
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59_BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE\ >=\ 600 || _ISOC99_SOURCE ||
60_POSIX_C_SOURCE\ >=\ 200112L;
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61.br
62or
5bb52d98 63.I cc\ -std=c99
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64.RE
65.ad
fea681da 66.SH DESCRIPTION
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67The
68.BR cosh ()
69function returns the hyperbolic cosine of \fIx\fP, which
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70is defined mathematically as:
71.nf
72
73 cosh(x) = (exp(x) + exp(\-x)) / 2
494fc522 74.fi
47297adb 75.SH RETURN VALUE
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76On success, these functions return the hyperbolic cosine of
77.IR x .
78
79If
80.I x
81is a NaN, a NaN is returned.
82
83If
84.I x
85is +0 or \-0, 1 is returned.
86
87If
88.I x
89is positive infinity or negative infinity,
90positive infinity is returned.
91
92If the result overflows,
efe294cb 93a range error occurs,
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94and the functions return
95.RB + HUGE_VAL ,
96.RB + HUGE_VALF ,
97or
98.RB + HUGE_VALL ,
99respectively.
100.SH ERRORS
101See
102.BR math_error (7)
103for information on how to determine whether an error has occurred
104when calling these functions.
105.PP
106The following errors can occur:
107.TP
108Range error: result overflow
109.I errno
110is set to
111.BR ERANGE .
112An overflow floating-point exception
113.RB ( FE_OVERFLOW )
114is raised.
47297adb 115.SH CONFORMING TO
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116C99, POSIX.1-2001.
117The variant returning
118.I double
119also conforms to
120SVr4, 4.3BSD.
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121.SH BUGS
122In glibc version 2.3.4 and earlier,
123an overflow floating-point
124.RB ( FE_OVERFLOW )
125exception is not raised when an overflow occurs.
47297adb 126.SH SEE ALSO
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127.BR acosh (3),
128.BR asinh (3),
129.BR atanh (3),
1e321034 130.BR ccos (3),
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131.BR sinh (3),
132.BR tanh (3)