std::cosh, std::coshf, std::coshl
Defined in header <cmath> |
||
---|---|---|
(1) | ||
float cosh ( float arg ); |
||
float coshf( float arg ); |
(since C++11) | |
double cosh ( double arg ); |
(2) | |
(3) | ||
long double cosh ( long double arg ); |
||
long double coshl( long double arg ); |
(since C++11) | |
double cosh ( IntegralType arg ); |
(4) | (since C++11) |
1-3) 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 ofarg
(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"; }
Possible output:
cosh(1) = 1.54308 cosh(-1) = 1.54308 log(sinh(1)+cosh(1)=1 cosh(+0) = 1 cosh(-0) = 1 cosh(710.5) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised
See also
(C++11)(C++11)
|
computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x)) (function) |
(C++11)(C++11)
|
computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x)) (function) |
(C++11)(C++11)(C++11)
|
computes the inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x)) (function) |
computes hyperbolic cosine of a complex number (\({\small\cosh{z} }\)cosh(z)) (function template) |
|
applies the function std::cosh to each element of valarray (function template) |
|
C documentation for cosh |
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