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Showing content from https://en.cppreference.com/w/cpp/language/../error/error_code/../../../cpp/numeric/math/cosh.html below:

std::cosh, std::coshf, std::coshl - cppreference.com

(1) 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 );

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

long double coshl( long double num );

(3) (since C++11)
(constexpr since C++26) template< /*math-floating-point*/ V >

constexpr /*deduced-simd-t*/<V>

            cosh ( const V& v_num ); (S) (since C++26)

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

(A) (constexpr since C++26)

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)

A) Additional overloads are provided for all integer types, which are treated as double.

(since C++11) [edit] Parameters num - floating-point or integer value [edit] Return value

If no errors occur, the hyperbolic cosine of

num

(

cosh(num)

, or

) is returned.

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

[edit] Error handling

Errors are reported as specified in math_errhandling.

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

[edit] 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<double>(num)).

[edit] 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";
}

Possible output:

cosh(1) = 1.54308
cosh(-1) = 1.54308
log(sinh(42)+cosh(42)) = 42
cosh(+0) = 1
cosh(-0) = 1
cosh(710.5) = inf
    errno == ERANGE: Numerical result out of range
    FE_OVERFLOW raised
[edit] See also

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