Defined in header
<complex> | ||
---|---|---|
template< class T > complex<T> cos( const complex<T>& z ); |
Computes complex cosine of a complex value z
.
z | - | complex value |
If no errors occur, the complex cosine of z
is returned.
Errors and special cases are handled as if the operation is implemented by std::cosh(i*z)
, where i
is the imaginary unit.
The cosine is an entire function on the complex plane, and has no branch cuts. Mathematical definition of the cosine is cos z =
eiz +e-iz |
2 |
#include <iostream> #include <cmath> #include <complex> int main() { std::cout << std::fixed; std::complex<double> z(1, 0); // behaves like real cosine along the real line std::cout << "cos" << z << " = " << std::cos(z) << " ( cos(1) = " << std::cos(1) << ")\n"; std::complex<double> z2(0, 1); // behaves like real cosh along the imaginary line std::cout << "cos" << z2 << " = " << std::cos(z2) << " (cosh(1) = " << std::cosh(1) << ")\n"; }
Output:
cos(1.000000,0.000000) = (0.540302,-0.000000) ( cos(1) = 0.540302) cos(0.000000,1.000000) = (1.543081,-0.000000) (cosh(1) = 1.543081)
computes sine of a complex number (sin(z)) (function template) |
|
computes tangent of a complex number (tan(z)) (function template) |
|
(C++11)
| computes arc cosine of a complex number (arccos(z)) (function template) |
computes cosine (cos(x)) (function) |
|
applies the function std::cos to each element of valarray (function template) |
|
C documentation for ccos |
© cppreference.com
Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.
http://en.cppreference.com/w/cpp/numeric/complex/cos