NAME¶

std::sinh,std::sinhf,std::sinhl - std::sinh,std::sinhf,std::sinhl

Synopsis¶

Defined in header <cmath>
float sinh ( float arg );
float sinhf( float arg ); (since C++11)
double sinh ( double arg ); (1) (2)
long double sinh ( long double arg );
long double sinhl( long double arg ); (3) (since C++11)
double sinh ( IntegralType arg ); (4) (since C++11)

1-3) Computes the hyperbolic sine of arg
4) A set of overloads or a function template accepting an argument of any integral
type. Equivalent to 2) (the argument is cast to double).

Parameters¶

arg - value of a floating-point or Integral type

Return value¶

If no errors occur, the hyperbolic sine of arg (sinh(arg), or

earg
-e-arg
2

) is returned.

If a range error due to overflow occurs, ±HUGE_VAL, ±HUGE_VALF, or ±HUGE_VALL is
returned.

If a range error occurs due to underflow, the correct result (after rounding) is
returned.

Error handling¶

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

* if the argument is ±0 or ±∞, it is returned unmodified
* if the argument is NaN, NaN is returned

Notes¶

POSIX specifies that in case of underflow, arg is returned unmodified, and if that
is not supported, and implementation-defined value no greater than DBL_MIN, FLT_MIN,
and LDBL_MIN is returned.

Example¶

// Run this code

#include <iostream>
#include <cmath>
#include <cerrno>
#include <cstring>
#include <cfenv>

#pragma STDC FENV_ACCESS ON
int main()
{
std::cout << "sinh(1) = " << std::sinh(1) << '\n'
<< "sinh(-1) = " << std::sinh(-1) << '\n'
<< "log(sinh(1)+cosh(1)) = "
<< std::log(std::sinh(1)+std::cosh(1)) << '\n';
// special values
std::cout << "sinh(+0) = " << std::sinh(0.0) << '\n'
<< "sinh(-0) = " << std::sinh(-0.0) << '\n';
// error handling
errno = 0;
std::feclearexcept(FE_ALL_EXCEPT);
std::cout << "sinh(710.5) = " << std::sinh(710.5) << '\n';
if (errno == ERANGE)
std::cout << " errno == ERANGE: " << std::strerror(errno) << '\n';
if (std::fetestexcept(FE_OVERFLOW))
std::cout << " FE_OVERFLOW raised\n";
}

Output:¶

sinh(1) = 1.1752
sinh(-1) = -1.1752
log(sinh(1)+cosh(1)) = 1
sinh(+0) = 0
sinh(-0) = -0
sinh(710.5) = inf
errno == ERANGE: Numerical result out of range
FE_OVERFLOW raised

See also¶

cosh
coshf computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x))
coshl (function)
(C++11)
(C++11)
tanh
tanhf computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x))
tanhl (function)
(C++11)
(C++11)
asinh
asinhf computes the inverse hyperbolic sine
asinhl (\({\small\operatorname{arsinh}{x} }\)arsinh(x))
(C++11) (function)
(C++11)
(C++11)
computes hyperbolic sine of a complex number (\({\small\sinh{z}
sinh(std::complex) }\)sinh(z))
(function template)
sinh(std::valarray) applies the function std::sinh to each element of valarray
(function template)