std::cosh, std::coshf, std::coshl

Since C++26

Header: <cmath>

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

# Declarations

float cosh ( float num );
double cosh ( double num );
long double cosh ( long double num );

(until C++23)

/*floating-point-type*/
cosh ( /*floating-point-type*/ num );

(since C++23) (constexpr since C++26)

float coshf( float num );

(since C++11) (constexpr since C++26)

long double coshl( long double num );

(since C++11) (constexpr since C++26)

SIMD overload (since C++26)

template< /*math-floating-point*/ V >
constexpr /*deduced-simd-t*/<V>
cosh ( const V& v_num );

(since C++26)

Additional overloads (since C++11)

template< class Integer >
double cosh ( Integer num );

(constexpr since C++26)

# Parameters

# Return value

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

# Notes

For the IEEE-compatible type double, if |num| > 710.5, then std::cosh(num) overflows.

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::cosh(num) has the same effect as std::cosh(static_cast(num)).

# Example

#include <cerrno>
#include <cfenv>
#include <cmath>
#include <cstring>
#include <iostream>
// #pragma STDC FENV_ACCESS ON
 
int main()
{
    const double x = 42;
 
    std::cout << "cosh(1) = " << std::cosh(1) << '\n'
              << "cosh(-1) = " << std::cosh(-1) << '\n'
              << "log(sinh(" << x << ")+cosh(" << x << ")) = "
              << std::log(std::sinh(x) + std::cosh(x)) << '\n';
 
    // special values
    std::cout << "cosh(+0) = " << std::cosh(0.0) << '\n'
              << "cosh(-0) = " << std::cosh(-0.0) << '\n';
 
    // error handling
    errno=0;
    std::feclearexcept(FE_ALL_EXCEPT);
 
    std::cout << "cosh(710.5) = " << std::cosh(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";
}

# See also