CPLXEXP(3C++)

NAME
exp, log, pow, sqrt - exponential, logarithm, power, square root functions for the C++ complex library

SYNOPSIS
#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);
};

DESCRIPTION
The following math functions are overloaded by the complex library, where:
 — x, y, and z are of type complex.

z = exp(x)
    Returns ex .

z = log(x)
    Returns the natural logarithm of x.

z = pow(x, y)
    Returns xy .

z = sqrt(x)
    Returns the square root of x, contained in the first or fourth quadrants of the complex plane.

SEE ALSO
CPLX.INTRO(3C++), cartpol(3C++), cplxerr(3C++), cplxops(3C++), and cplxtrig(3C++).

DIAGNOSTICS
exp returns (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 (HUGE, HUGE) if the cosine and sine of the imaginary part of x are positive, (HUGE, -HUGE) if the cosine is positive and the sine is not, (-HUGE, HUGE) if the sine is positive and the cosine is not, and (-HUGE, -HUGE) if neither sine nor cosine is positive. In all these cases, errno is set to ERANGE.

log returns (-HUGE, 0) and sets errno to EDOM when x is (0, 0). A message indicating SING error is printed on the standard error output.

These error-handling procedures may be changed with the function complex_error (cplxerr(3C++)).