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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 2015-04-19 "" "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 _BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE\ >=\ 500 ||
60 _XOPEN_SOURCE\ &&\ _XOPEN_SOURCE_EXTENDED || _ISOC99_SOURCE ||
61 _POSIX_C_SOURCE\ >=\ 200112L;
62 .br
63 or
64 .I cc\ -std=c99
65 .RE
66 .br
67 .BR acoshf (),
68 .BR acoshl ():
69 .RS 4
70 _BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE\ >=\ 600 || _ISOC99_SOURCE ||
71 _POSIX_C_SOURCE\ >=\ 200112L;
72 .br
73 or
74 .I cc\ -std=c99
75 .RE
76 .ad b
77 .SH DESCRIPTION
78 These functions calculate the inverse hyperbolic cosine of
79 .IR x ;
80 that is the value whose hyperbolic cosine is
81 .IR x .
82 .SH RETURN VALUE
83 On success, these functions return the inverse hyperbolic cosine of
84 .IR x .
85
86 If
87 .I x
88 is a NaN, a NaN is returned.
89
90 If
91 .I x
92 is +1, +0 is returned.
93
94 If
95 .I x
96 is positive infinity, positive infinity is returned.
97
98 If
99 .I x
100 is less than 1,
101 a domain error occurs,
102 and the functions return a NaN.
103 .SH ERRORS
104 See
105 .BR math_error (7)
106 for information on how to determine whether an error has occurred
107 when calling these functions.
108 .PP
109 The following errors can occur:
110 .TP
111 Domain error: \fIx\fP is less than 1
112 .I errno
113 is set to
114 .BR EDOM .
115 An invalid floating-point exception
116 .RB ( FE_INVALID )
117 is raised.
118 .SH ATTRIBUTES
119 For an explanation of the terms used in this section, see
120 .BR attributes (7).
121 .TS
122 allbox;
123 lbw28 lb lb
124 l l l.
125 Interface Attribute Value
126 T{
127 .BR acosh (),
128 .BR acoshf (),
129 .BR acoshl ()
130 T} Thread safety MT-Safe
131 .TE
132 .SH CONFORMING TO
133 C99, POSIX.1-2001, POSIX.1-2008.
134
135 The variant returning
136 .I double
137 also conforms to
138 SVr4, 4.3BSD, C89.
139 .SH SEE ALSO
140 .BR asinh (3),
141 .BR atanh (3),
142 .BR cacosh (3),
143 .BR cosh (3),
144 .BR sinh (3),
145 .BR tanh (3)