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

Defined in header `<cmath>`
	(1)
float sinh ( float num ); double sinh ( double num ); long double sinh ( long double num );			(until C++23)
/* floating-point-type / sinh ( / floating-point-type */ num );			(since C++23) (constexpr since C++26)
float sinhf( float num );		(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 > double sinh ( Integer num );		(A)	(constexpr since C++26)

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 treated as double.

(since C++11)

Parameters

num

-

floating-point or integer value

Return value

If no errors occur, the hyperbolic sine of num (

sinh(num)

, or

e num -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

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coshcoshfcoshl (C++11)(C++11)	computes hyperbolic cosine (\({\small\cosh{x} }\) $cosh(x)$ ) (function)
tanhtanhftanhl (C++11)(C++11)	computes hyperbolic tangent (\({\small\tanh{x} }\) $tanh(x)$ ) (function)
asinhasinhfasinhl (C++11)(C++11)(C++11)	computes the inverse hyperbolic sine (\({\small\operatorname{arsinh}{x} }\) $arsinh(x)$ ) (function)
sinh(std::complex)	computes hyperbolic sine of a complex number (\({\small\sinh{z} }\) $sinh(z)$ ) (function template)
sinh(std::valarray)	applies the function std::sinh to each element of valarray (function template)