CPLXEXP(3C++)							 CPLXEXP(3C++)

NAME    [Toc]    [Back]

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

SYNOPSIS    [Toc]    [Back]

     #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    [Toc]    [Back]

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

     z <b>= exp(x<b>)	    Returns ex.

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

     z <b>= pow(x<b>,	y<b>)  Returns xy.

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

SEE ALSO    [Toc]    [Back]

     complex(3C++), cartpol(3C++), cplxerr(3C++), cplxops(3C++), and
     cplxtrig(3C++).

DIAGNOSTICS    [Toc]    [Back]

     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++)).


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