NAME¶

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

Synopsis¶

Defined in header <cmath>
float sinh ( float num );

double sinh ( double num ); (until C++23)

long double sinh ( long double num );
/* floating-point-type */ (since C++23)
sinh ( /* floating-point-type */ num ); (constexpr since C++26)
float sinhf( float num ); (1) (2) (since C++11)
(constexpr since C++26)
long double sinhl( long double num ); (3) (since C++11)
(constexpr since C++26)
Additional overloads (since C++11)
Defined in header <cmath>
template< class Integer > (A) (constexpr since C++26)
double sinh ( Integer num );

1-3) Computes the hyperbolic sine of num.
The library provides overloads of std::sinh for all cv-unqualified floating-point
types as the type of the parameter.
(since C++23)

A) Additional overloads are provided for all integer types, which are (since C++11)
treated as double.

Parameters¶

num - floating-point or integer value

Return value¶

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

enum
-e-num
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, num 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.

The additional overloads are not required to be provided exactly as (A). They only
need to be sufficient to ensure that for their argument num of integer type,
std::sinh(num) has the same effect as std::sinh(static_cast<double>(num)).

Example¶

// Run this code

#include <cerrno>
#include <cfenv>
#include <cmath>
#include <cstring>
#include <iostream>
// #pragma STDC FENV_ACCESS ON

int main()
{
const double x = 42;

std::cout << "sinh(1) = " << std::sinh(1) << '\n'
<< "sinh(-1) = " << std::sinh(-1) << '\n'
<< "log(sinh(" << x << ")+cosh(" << x << ")) = "
<< std::log(std::sinh(x) + std::cosh(x)) << '\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(42)+cosh(42)) = 42
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
sinh(std::complex) (\({\small\sinh{z}}\)sinh(z))
(function template)
sinh(std::valarray) applies the function std::sinh to each element of valarray
(function template)
C documentation for
sinh