This section describes the transcendental functions in the class complex.
#include <complex.h>
class complex
{
public:
friend complex exp(complex);
friend complex log(complex);
friend complex pow(double, complex);
friend complex pow(complex, int);
friend complex pow(complex, double);
friend complex pow(complex, complex);
friend complex sqrt(complex);
};
complex z = exp(complex x)
Returns ex.
complex z = log(complex x)
Returns the natural logarithm of x.
complex z = pow(complex x, complex y)
Returns xy.
complex z = sqrt(complex x)
Returns the square root of x, contained in the first or fourth quadrants of the
complex plane.
RETURN VALUES
exp returns (0.0, 0.0) when the real part of x is so small, or the imaginary part is so
large, as to cause overflow. When the real part is large enough to cause overflow, expreturns:
(HUGE, HUGE) if the cosine and sine of the imaginary part of x is > 0;
(HUGE, -HUGE) if the cosine is > 0 and the sine is | 0; |
This section describes the transcendental functions in the class complex. #include <complex.h> class complex public: friend complex exp(complex); }; complex z = exp(complex x) Returns ex. complex z = log(complex x) Returns the natural logarithm of x. complex z = pow(complex x, complex y) Returns xy. complex z = sqrt(complex x) Returns the square root of x, contained in the first or fourth quadrants of the | |
RETURN VALUES | |
exp returns (0.0, 0.0) when the real part of x is so small, or the imaginary part is so large, as to cause overflow. When the real part is large enough to cause overflow, exp returns:
In all these cases, errno is set to ERANGE. log returns (-HUGE, 0.0) and sets errno to EDOM when x is (0.0, 0.0). A message indicating SING error is printed on the standard error output. These error handling routines can be changed with the complex_error() function (see section "cplxerr Error handling functions"). | |
EXAMPLE | The following program prints a set of complex numbers and their exponential powers. #include <iostream.h>
#include <complex.h>
main()
{
complex c;
for (c = complex(1.0,1.0); real(c) < 4.0; c += complex(1.0,1.0))
{
cout <<c<<" "<<exp(c)<<"\n";
}
return 0;
}
The result of executing the program is: ( 1, 1) ( 1.46869, 2.28736) ( 2, 2) ( -3.07493, 6.71885) ( 3, 3) ( -19.8845, 2.83447) % CCM0998 CPU time used: 0.0012 seconds Note that complex numbers can be printed by using the << operator and can be processed as easily as numbers of type float or double. |
SEE ALSO | |