std::cosh, std::coshf, std::coshl
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Defined in header
<cmath>
(1)
float cosh ( float num );
(until C++23)
double cosh ( double num );
/*floating-point-type*/
cosh ( /*floating-point-type*/ num );
(since C++23) cosh ( /*floating-point-type*/ num );
(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 >
(S)
(since C++26)
constexpr /*deduced-simd-t*/<V>
Additional overloads (since C++11)
Defined in header
<cmath>
template< class Integer >
double cosh ( Integer num );
(A)
(constexpr since C++26)
double cosh ( Integer num );
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.)
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 enum
+e-num
+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)(C++11)
(function) [edit]
computes hyperbolic cosine of a complex number (\({\small\cosh{z}}\)cosh(z))
(function template) [edit]
(function template) [edit]
C documentation for cosh