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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
7.\" manual provided the copyright notice and this permission notice are
8.\" preserved on all copies.
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16.\" manual page may be incorrect or out-of-date.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.
c13182ef 22.\"
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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 2002-07-25 by Walter Harms
33.\" (walter.harms@informatik.uni-oldenburg.de)
34.\"
4b8c67d9 35.TH ACOSH 3 2017-09-15 "" "Linux Programmer's Manual"
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36.SH NAME
37acosh, acoshf, acoshl \- inverse hyperbolic cosine function
38.SH SYNOPSIS
39.nf
40.B #include <math.h>
68e4db0a 41.PP
fea681da 42.BI "double acosh(double " x );
fea681da 43.BI "float acoshf(float " x );
fea681da 44.BI "long double acoshl(long double " x );
68e4db0a 45.PP
fea681da 46.fi
20c58d70 47Link with \fI\-lm\fP.
68e4db0a 48.PP
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49.in -4n
50Feature Test Macro Requirements for glibc (see
51.BR feature_test_macros (7)):
52.in
68e4db0a 53.PP
cc4615cc 54.ad l
1e2209dd 55.BR acosh ():
6ecfce85 56.RS 4
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57_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
58 || _XOPEN_SOURCE\ >=\ 500
cf7fa0a1 59.\" || _XOPEN_SOURCE\ &&\ _XOPEN_SOURCE_EXTENDED
e0a68e13 60 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
636ed4d5 61 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
6ecfce85 62.RE
1e2209dd 63.br
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64.BR acoshf (),
65.BR acoshl ():
6ecfce85 66.RS 4
636ed4d5 67_ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
e0a68e13 68 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
636ed4d5 69 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
6ecfce85 70.RE
cc4615cc 71.ad b
fea681da 72.SH DESCRIPTION
5600f73a 73These functions calculate the inverse hyperbolic cosine of
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74.IR x ;
75that is the value whose hyperbolic cosine is
76.IR x .
47297adb 77.SH RETURN VALUE
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78On success, these functions return the inverse hyperbolic cosine of
79.IR x .
847e0d88 80.PP
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81If
82.I x
83is a NaN, a NaN is returned.
847e0d88 84.PP
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85If
86.I x
87is +1, +0 is returned.
847e0d88 88.PP
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89If
90.I x
91is positive infinity, positive infinity is returned.
847e0d88 92.PP
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93If
94.I x
95is less than 1,
efe294cb 96a domain error occurs,
1e2209dd 97and the functions return a NaN.
fea681da 98.SH ERRORS
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99See
100.BR math_error (7)
101for information on how to determine whether an error has occurred
102when calling these functions.
103.PP
104The following errors can occur:
fea681da 105.TP
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106Domain error: \fIx\fP is less than 1
107.I errno
108is set to
109.BR EDOM .
110An invalid floating-point exception
111.RB ( FE_INVALID )
112is raised.
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113.SH ATTRIBUTES
114For an explanation of the terms used in this section, see
115.BR attributes (7).
116.TS
117allbox;
118lbw28 lb lb
119l l l.
120Interface Attribute Value
121T{
122.BR acosh (),
123.BR acoshf (),
124.BR acoshl ()
125T} Thread safety MT-Safe
126.TE
47297adb 127.SH CONFORMING TO
9a74e018 128C99, POSIX.1-2001, POSIX.1-2008.
847e0d88 129.PP
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130The variant returning
131.I double
132also conforms to
7cada58c 133SVr4, 4.3BSD.
47297adb 134.SH SEE ALSO
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135.BR asinh (3),
136.BR atanh (3),
36268806 137.BR cacosh (3),
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138.BR cosh (3),
139.BR sinh (3),
140.BR tanh (3)