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  2017-09-15 "" "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 .PP
  43 .BI "double sinh(double " x );
  44 .BI "float sinhf(float " x );
  45 .BI "long double sinhl(long double " x );
  46 .fi
  47 .PP
  48 Link with \fI\-lm\fP.
  49 .PP
  50 .in -4n
  51 Feature Test Macro Requirements for glibc (see
  52 .BR feature_test_macros (7)):
  53 .in
  54 .PP
  55 .ad l
  56 .BR sinhf (),
  57 .BR sinhl ():
  58 .RS 4
  59 _ISOC99_SOURCE || _POSIX_C_SOURCE\ >=\ 200112L
  60     || /* Since glibc 2.19: */ _DEFAULT_SOURCE
  61     || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
  62 .RE
  63 .ad
  64 .SH DESCRIPTION
  65 These functions return the hyperbolic sine of
  66 .IR x ,
  67 which
  68 is defined mathematically as:
  69 .PP
  70 .nf
  71     sinh(x) = (exp(x) \- exp(\-x)) / 2
  72 .fi
  73 .SH RETURN VALUE
  74 On success, these functions return the hyperbolic sine of
  75 .IR x .
  76 .PP
  77 If
  78 .I x
  79 is a NaN, a NaN is returned.
  80 .PP
  81 If
  82 .I x
  83 is +0 (\-0), +0 (\-0) is returned.
  84 .PP
  85 If
  86 .I x
  87 is positive infinity (negative infinity),
  88 positive infinity (negative infinity) is returned.
  89 .PP
  90 If the result overflows,
  91 a range error occurs,
  92 and the functions return
  93 .BR HUGE_VAL ,
  94 .BR HUGE_VALF ,
  95 or
  96 .BR HUGE_VALL ,
  97 respectively, with the same sign as
  98 .IR x .
  99 .\"
 100 .\" POSIX.1-2001 documents an optional range error (underflow)
 101 .\" for subnormal x;
 102 .\" glibc 2.8 does not do this.
 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 Range error: result overflow
 112 .I errno
 113 is set to
 114 .BR ERANGE .
 115 An overflow floating-point exception
 116 .RB ( FE_OVERFLOW )
 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 lbw24 lb lb
 124 l l l.
 125 Interface       Attribute       Value
 126 T{
 127 .BR sinh (),
 128 .BR sinhf (),
 129 .BR sinhl ()
 130 T}      Thread safety   MT-Safe
 131 .TE
 132 .SH CONFORMING TO
 133 C99, POSIX.1-2001, POSIX.1-2008.
 134 .PP
 135 The variant returning
 136 .I double
 137 also conforms to
 138 SVr4, 4.3BSD, C89.
 139 .SH SEE ALSO
 140 .BR acosh (3),
 141 .BR asinh (3),
 142 .BR atanh (3),
 143 .BR cosh (3),
 144 .BR csinh (3),
 145 .BR tanh (3)