std::sinh(std::complex)

Since C++11

Header: <complex>

Computes complex hyperbolic sine of a complex value z.

# Declarations

template< class T >
complex<T> sinh( const complex<T>& z );

(since C++11)

# Parameters

# Return value

If no errors occur, complex hyperbolic sine of z is returned.

# Notes

Hyperbolic sine is an entire function in the complex plane and has no branch cuts. It is periodic with respect to the imaginary component, with period 2πi.

# Example

#include <cmath>
#include <complex>
#include <iostream>
 
int main()
{
    std::cout << std::fixed;
    std::complex<double> z(1.0, 0.0); // behaves like real sinh along the real line
    std::cout << "sinh" << z << " = " << std::sinh(z)
              << " (sinh(1) = " << std::sinh(1) << ")\n";
 
    std::complex<double> z2(0.0, 1.0); // behaves like sine along the imaginary line
    std::cout << "sinh" << z2 << " = " << std::sinh(z2)
              << " ( sin(1) = " << std::sin(1) << ")\n";
}

# See also