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NAME
     cartpol -  cartesian/polar  functions  in  the  C++  complex
     number math library

SYNOPSIS
     #include <complex.h>
     class complex {
     public:
         friend double  abs(const complex);
         friend double  norm(const complex);
         friend double  arg(const complex);
         friend complex conj(const complex);
         friend double  imag(const complex&);
         friend double  real(const complex&);
         friend complex polar(double magnitude, double angle= 0.0);
          ... // remainder not shown here
     };

DESCRIPTION
     These functions enable  conversions  between  the  Cartesian
     coordinates  of  the  implementation  and  polar coordinates
     which are needed for some applications.

     double mag = abs(x)
          Returns the absolute value, or  magnitude,  of  complex
          number x.

     double mag = norm(x)
          Returns the square of the  absolute  value  of  complex
          number  x.   This  is faster than abs, since the square
          root is not calculated, and  is  useful  for  comparing
          magnitudes of complex numbers.

     double ang = arg(x)
          Returns the angle, or argument, in radians from  -n  to
          +n,  of  the polar coordinate representation of complex
          number x.

     complex z = conj(x)
          Returns the complex conjugate of complex number x.   If
          x  has  the  value (r,i), the complex conjugate has the
          value (r,-i).

     double i = imag(x)
          Returns the imaginary part of complex number x.

     double r = real(x)
          Returns the real part of complex number x.

     complex x = polar(mag, ang)
          Given a pair of polar coordinates mag  (magnitude)  and
          ang  (angle  or  argument)  in  radians  from -n to +n,
          returns a complex number with the same value.

SEE ALSO
     cplx.intro(3C++), cplxerr(3C++), cplxexp(3C++),
     cplxops(3C++), cplxtrig(3C++), Complex Tutorial .

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