std::cosh, std::coshf, std::coshl
From cppreference.com
Defined in header <cmath>
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(1) | ||
float cosh ( float num ); double cosh ( double num ); |
(until C++23) | |
/* floating-point-type */ cosh ( /* floating-point-type */ num ); |
(since C++23) (constexpr since C++26) |
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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) |
Additional overloads (since C++11) |
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Defined in header <cmath>
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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.
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(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), orenum +e-num |
2 |
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) |
(C++11)(C++11) |
computes hyperbolic tangent (tanh(x)) (function) |
(C++11)(C++11)(C++11) |
computes the inverse hyperbolic cosine (arcosh(x)) (function) |
computes hyperbolic cosine of a complex number (cosh(z)) (function template) | |
applies the function std::cosh to each element of valarray (function template) | |
C documentation for cosh
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