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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>
fea681da 4.\"
93015253 5.\" %%%LICENSE_START(VERBATIM)
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6.\" Permission is granted to make and distribute verbatim copies of this
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9.\"
10.\" Permission is granted to copy and distribute modified versions of this
11.\" manual under the conditions for verbatim copying, provided that the
12.\" entire resulting derived work is distributed under the terms of a
13.\" permission notice identical to this one.
c13182ef 14.\"
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15.\" Since the Linux kernel and libraries are constantly changing, this
16.\" manual page may be incorrect or out-of-date. The author(s) assume no
17.\" responsibility for errors or omissions, or for damages resulting from
18.\" the use of the information contained herein. The author(s) may not
19.\" have taken the same level of care in the production of this manual,
20.\" which is licensed free of charge, as they might when working
21.\" professionally.
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23.\" Formatted or processed versions of this manual, if unaccompanied by
24.\" the source, must acknowledge the copyright and authors of this work.
4b72fb64 25.\" %%%LICENSE_END
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26.\"
27.\" References consulted:
28.\" Linux libc source code
29.\" Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991)
30.\" 386BSD man pages
31.\" Modified 1993-07-24 by Rik Faith (faith@cs.unc.edu)
32.\" Modified 1996-06-08 by aeb
33.\" Modified 2002-07-27 by Walter Harms
34.\" (walter.harms@informatik.uni-oldenburg.de)
35.\"
4b8c67d9 36.TH COSH 3 2017-09-15 "" "Linux Programmer's Manual"
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37.SH NAME
38cosh, coshf, coshl \- hyperbolic cosine function
39.SH SYNOPSIS
40.nf
41.B #include <math.h>
68e4db0a 42.PP
fea681da 43.BI "double cosh(double " x );
fea681da 44.BI "float coshf(float " x );
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45.BI "long double coshl(long double " x );
46.fi
68e4db0a 47.PP
20c58d70 48Link with \fI\-lm\fP.
68e4db0a 49.PP
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50.in -4n
51Feature Test Macro Requirements for glibc (see
52.BR feature_test_macros (7)):
53.in
68e4db0a 54.PP
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55.ad l
56.BR coshf (),
57.BR coshl ():
b90c43a8 58.RS 4
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59_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
60 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
61 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
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62.RE
63.ad
fea681da 64.SH DESCRIPTION
5600f73a 65These functions return the hyperbolic cosine of
022671eb 66.IR x ,
5600f73a 67which is defined mathematically as:
207050fa 68.PP
658670de 69.nf
658670de 70 cosh(x) = (exp(x) + exp(\-x)) / 2
494fc522 71.fi
47297adb 72.SH RETURN VALUE
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73On success, these functions return the hyperbolic cosine of
74.IR x .
847e0d88 75.PP
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76If
77.I x
78is a NaN, a NaN is returned.
847e0d88 79.PP
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80If
81.I x
82is +0 or \-0, 1 is returned.
847e0d88 83.PP
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84If
85.I x
86is positive infinity or negative infinity,
87positive infinity is returned.
847e0d88 88.PP
5bb52d98 89If the result overflows,
efe294cb 90a range error occurs,
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91and the functions return
92.RB + HUGE_VAL ,
93.RB + HUGE_VALF ,
94or
95.RB + HUGE_VALL ,
96respectively.
97.SH ERRORS
98See
99.BR math_error (7)
100for information on how to determine whether an error has occurred
101when calling these functions.
102.PP
103The following errors can occur:
104.TP
105Range error: result overflow
106.I errno
107is set to
108.BR ERANGE .
109An overflow floating-point exception
110.RB ( FE_OVERFLOW )
111is raised.
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112.SH ATTRIBUTES
113For an explanation of the terms used in this section, see
114.BR attributes (7).
115.TS
116allbox;
117lbw24 lb lb
118l l l.
119Interface Attribute Value
120T{
121.BR cosh (),
122.BR coshf (),
123.BR coshl ()
124T} Thread safety MT-Safe
125.TE
47297adb 126.SH CONFORMING TO
9a74e018 127C99, POSIX.1-2001, POSIX.1-2008.
847e0d88 128.PP
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129The variant returning
130.I double
131also conforms to
132SVr4, 4.3BSD.
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133.SH BUGS
134In glibc version 2.3.4 and earlier,
135an overflow floating-point
136.RB ( FE_OVERFLOW )
137exception is not raised when an overflow occurs.
47297adb 138.SH SEE ALSO
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139.BR acosh (3),
140.BR asinh (3),
141.BR atanh (3),
1e321034 142.BR ccos (3),
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143.BR sinh (3),
144.BR tanh (3)