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

From cppreference.com
< cpp‎ | numeric‎ | math
 
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Defined in header <cmath>
(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)
SIMD overload (since C++26)
Defined in header <simd>
template< /*math-floating-point*/ V >

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

            cosh ( const V& v_num );
 (S) (since C++26)
Additional overloads (since C++11)
Defined in header <cmath>
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)
S) The SIMD overload performs an element-wise std::cosh on v_num.
(See math-floating-point and deduced-simd-t for their definitions.)
(since C++26)
A) Additional overloads are provided for all integer types, which are treated as double.
 (since C++11)

Contents

[edit] Parameters

num - floating-point or integer value

[edit] Return value

If no errors occur, the hyperbolic cosine of num (cosh(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.

[edit] 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, 1 is returned.
  • If the argument is ±∞, +∞ is returned.
  • if the argument is NaN, NaN is returned.

[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

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 << "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

(C++11)(C++11)
 computes hyperbolic sine (sinh(x))
(function) [edit]
(C++11)(C++11)
 computes hyperbolic tangent (tanh(x))
(function) [edit]
(C++11)(C++11)(C++11)
 computes the inverse hyperbolic cosine (arcosh(x))
(function) [edit]
computes hyperbolic cosine of a complex number (cosh(z))
(function template) [edit]
applies the function std::cosh to each element of valarray
(function template) [edit]
C documentation for cosh
Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/math/cosh&oldid=160748"

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