| Defined in header <cmath> | ||
|---|---|---|
float cosh( float arg ); | (1) | |
double cosh( double arg ); | (2) | |
long double cosh( long double arg ); | (3) | |
double cosh( Integral arg ); | (4) | (since C++11) |
Computes the hyperbolic cosine of arg.
4) A set of overloads or a function template accepting an argument of any integral type. Equivalent to 2) (the argument is cast to
double).Parameters
| arg | - | value of a floating-point or Integral type |
Return value
If no errors occur, the hyperbolic cosine of arg (cosh(arg), or
| earg +e-arg |
| 2 |
) is returned.
If a range error due to overflow occurs, +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL 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, 1 is returned
- If the argument is ±∞, +∞ is returned
- if the argument is NaN, NaN is returned
Notes
For the IEEE-compatible type double, if |arg| > 710.5, then cosh(arg) overflows.
Example
#include <iostream>
#include <cmath>
#include <cerrno>
#include <cstring>
#include <cfenv>
#pragma STDC FENV_ACCESS ON
int main()
{
std::cout << "cosh(1) = " << std::cosh(1) << '\n'
<< "cosh(-1) = " << std::cosh(-1) << '\n'
<< "log(sinh(1)+cosh(1)=" << std::log(std::sinh(1)+std::cosh(1)) << '\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
| computes hyperbolic sine (sh(x)) (function) | |
| hyperbolic tangent (function) | |
| (C++11) | computes the inverse hyperbolic cosine (arcosh(x)) (function) |
| computes hyperbolic cosine of a complex number (ch(z)) (function template) | |
applies the function std::cosh to each element of valarray (function template) | |
C documentation for cosh | |
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