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1 .\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
2 .\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
3 .\" <mtk.manpages@gmail.com>
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15 .\" Since the Linux kernel and libraries are constantly changing, this
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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 .\"
35 .TH ACOSH 3 2016-03-15 "" "Linux Programmer's Manual"
36 .SH NAME
37 acosh, acoshf, acoshl \- inverse hyperbolic cosine function
38 .SH SYNOPSIS
39 .nf
40 .B #include <math.h>
41 .sp
42 .BI "double acosh(double " x );
43 .br
44 .BI "float acoshf(float " x );
45 .br
46 .BI "long double acoshl(long double " x );
47 .sp
48 .fi
49 Link with \fI\-lm\fP.
50 .sp
51 .in -4n
52 Feature Test Macro Requirements for glibc (see
53 .BR feature_test_macros (7)):
54 .in
55 .sp
56 .ad l
57 .BR acosh ():
58 .RS 4
59 _ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
60 || _XOPEN_SOURCE\ >=\ 500
61 .\" || _XOPEN_SOURCE\ &&\ _XOPEN_SOURCE_EXTENDED
62 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
63 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
64 .RE
65 .br
66 .BR acoshf (),
67 .BR acoshl ():
68 .RS 4
69 _ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
70 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
71 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
72 .RE
73 .ad b
74 .SH DESCRIPTION
75 These functions calculate the inverse hyperbolic cosine of
76 .IR x ;
77 that is the value whose hyperbolic cosine is
78 .IR x .
79 .SH RETURN VALUE
80 On success, these functions return the inverse hyperbolic cosine of
81 .IR x .
82
83 If
84 .I x
85 is a NaN, a NaN is returned.
86
87 If
88 .I x
89 is +1, +0 is returned.
90
91 If
92 .I x
93 is positive infinity, positive infinity is returned.
94
95 If
96 .I x
97 is less than 1,
98 a domain error occurs,
99 and the functions return a NaN.
100 .SH ERRORS
101 See
102 .BR math_error (7)
103 for information on how to determine whether an error has occurred
104 when calling these functions.
105 .PP
106 The following errors can occur:
107 .TP
108 Domain error: \fIx\fP is less than 1
109 .I errno
110 is set to
111 .BR EDOM .
112 An invalid floating-point exception
113 .RB ( FE_INVALID )
114 is raised.
115 .SH ATTRIBUTES
116 For an explanation of the terms used in this section, see
117 .BR attributes (7).
118 .TS
119 allbox;
120 lbw28 lb lb
121 l l l.
122 Interface Attribute Value
123 T{
124 .BR acosh (),
125 .BR acoshf (),
126 .BR acoshl ()
127 T} Thread safety MT-Safe
128 .TE
129 .SH CONFORMING TO
130 C99, POSIX.1-2001, POSIX.1-2008.
131
132 The variant returning
133 .I double
134 also conforms to
135 SVr4, 4.3BSD, C89.
136 .SH SEE ALSO
137 .BR asinh (3),
138 .BR atanh (3),
139 .BR cacosh (3),
140 .BR cosh (3),
141 .BR sinh (3),
142 .BR tanh (3)