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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16.\" manual page may be incorrect or out-of-date.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 1996-06-08 by aeb
33.\" Modified 2002-07-27 by Walter Harms
34.\" (walter.harms@informatik.uni-oldenburg.de)
35.\"
4b8c67d9 36.TH SINH 3 2017-09-15 "" "Linux Programmer's Manual"
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37.SH NAME
38sinh, sinhf, sinhl \- hyperbolic sine function
39.SH SYNOPSIS
40.nf
41.B #include <math.h>
68e4db0a 42.PP
fea681da 43.BI "double sinh(double " x );
fea681da 44.BI "float sinhf(float " x );
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45.BI "long double sinhl(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 sinhf (),
57.BR sinhl ():
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 sine of
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66.IR x ,
67which
658670de 68is defined mathematically as:
a2b7a144 69.PP
658670de 70.nf
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71 sinh(x) = (exp(x) \- exp(\-x)) / 2
72.fi
47297adb 73.SH RETURN VALUE
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74On success, these functions return the hyperbolic sine of
75.IR x .
847e0d88 76.PP
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77If
78.I x
79is a NaN, a NaN is returned.
847e0d88 80.PP
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81If
82.I x
83is +0 (\-0), +0 (\-0) is returned.
847e0d88 84.PP
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85If
86.I x
87is positive infinity (negative infinity),
88positive infinity (negative infinity) is returned.
847e0d88 89.PP
4a3c2783 90If the result overflows,
efe294cb 91a range error occurs,
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92and the functions return
93.BR HUGE_VAL ,
94.BR HUGE_VALF ,
95or
96.BR HUGE_VALL ,
97respectively, with the same sign as
98.IR x .
99.\"
385cf745 100.\" POSIX.1-2001 documents an optional range error (underflow)
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101.\" for subnormal x;
102.\" glibc 2.8 does not do this.
103.SH ERRORS
104See
105.BR math_error (7)
106for information on how to determine whether an error has occurred
107when calling these functions.
108.PP
109The following errors can occur:
110.TP
111Range error: result overflow
112.I errno
113is set to
114.BR ERANGE .
115An overflow floating-point exception
116.RB ( FE_OVERFLOW )
117is raised.
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118.SH ATTRIBUTES
119For an explanation of the terms used in this section, see
120.BR attributes (7).
121.TS
122allbox;
123lbw24 lb lb
124l l l.
125Interface Attribute Value
126T{
127.BR sinh (),
128.BR sinhf (),
129.BR sinhl ()
130T} Thread safety MT-Safe
131.TE
47297adb 132.SH CONFORMING TO
9a74e018 133C99, POSIX.1-2001, POSIX.1-2008.
847e0d88 134.PP
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135The variant returning
136.I double
137also conforms to
68e1685c 138SVr4, 4.3BSD, C89.
47297adb 139.SH SEE ALSO
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140.BR acosh (3),
141.BR asinh (3),
142.BR atanh (3),
143.BR cosh (3),
36268806 144.BR csinh (3),
fea681da 145.BR tanh (3)