man3/sinh.3

   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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  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 .\"
  36 .TH SINH 3  2015-03-02 "" "Linux Programmer's Manual"
  37 .SH NAME
  38 sinh, sinhf, sinhl \- hyperbolic sine function
  39 .SH SYNOPSIS
  40 .nf
  41 .B #include <math.h>
  42 .sp
  43 .BI "double sinh(double " x );
  44 .br
  45 .BI "float sinhf(float " x );
  46 .br
  47 .BI "long double sinhl(long double " x );
  48 .fi
  49 .sp
  50 Link with \fI\-lm\fP.
  51 .sp
  52 .in -4n
  53 Feature Test Macro Requirements for glibc (see
  54 .BR feature_test_macros (7)):
  55 .in
  56 .sp
  57 .ad l
  58 .BR sinhf (),
  59 .BR sinhl ():
  60 .RS 4
  61 _BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE\ >=\ 600 || _ISOC99_SOURCE ||
  62 _POSIX_C_SOURCE\ >=\ 200112L;
  63 .br
  64 or
  65 .I cc\ -std=c99
  66 .RE
  67 .ad
  68 .SH DESCRIPTION
  69 The
  70 .BR sinh ()
  71 function returns the hyperbolic sine of
  72 .IR x ,
  73 which
  74 is defined mathematically as:
  75 .nf
  76
  77     sinh(x) = (exp(x) \- exp(\-x)) / 2
  78 .fi
  79 .SH RETURN VALUE
  80 On success, these functions return the hyperbolic sine 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 +0 (\-0), +0 (\-0) is returned.
  90
  91 If
  92 .I x
  93 is positive infinity (negative infinity),
  94 positive infinity (negative infinity) is returned.
  95
  96 If the result overflows,
  97 a range error occurs,
  98 and the functions return
  99 .BR HUGE_VAL ,
 100 .BR HUGE_VALF ,
 101 or
 102 .BR HUGE_VALL ,
 103 respectively, with the same sign as
 104 .IR x .
 105 .\"
 106 .\" POSIX.1-2001 documents an optional range error (underflow)
 107 .\" for subnormal x;
 108 .\" glibc 2.8 does not do this.
 109 .SH ERRORS
 110 See
 111 .BR math_error (7)
 112 for information on how to determine whether an error has occurred
 113 when calling these functions.
 114 .PP
 115 The following errors can occur:
 116 .TP
 117 Range error: result overflow
 118 .I errno
 119 is set to
 120 .BR ERANGE .
 121 An overflow floating-point exception
 122 .RB ( FE_OVERFLOW )
 123 is raised.
 124 .SH ATTRIBUTES
 125 For an explanation of the terms used in this section, see
 126 .BR attributes (7).
 127 .TS
 128 allbox;
 129 lbw24 lb lb
 130 l l l.
 131 Interface       Attribute       Value
 132 T{
 133 .BR sinh (),
 134 .BR sinhf (),
 135 .BR sinhl ()
 136 T}      Thread safety   MT-Safe
 137 .TE
 138 .SH CONFORMING TO
 139 C99, POSIX.1-2001.
 140
 141 The variant returning
 142 .I double
 143 also conforms to
 144 SVr4, 4.3BSD, C89.
 145 .SH SEE ALSO
 146 .BR acosh (3),
 147 .BR asinh (3),
 148 .BR atanh (3),
 149 .BR cosh (3),
 150 .BR csinh (3),
 151 .BR tanh (3)