NAME
     cplxexp, exp, log, log10, pow, sqrt - functions in  the  C++
     complex number math library
SYNOPSIS
     #include <complex.h>
     class complex {
     public:
          friend complex exp(const complex);
          friend complex log(const complex);
          friend complex log10(const complex);
          friend complex pow(double base, const complex exp);
          friend complex pow(const complex base, int exp);
          friend complex pow(const complex base, double exp);
          friend complex pow(const complex base, const complex exp);
          friend complex sqrt(const complex);
          ... // remainder not shown here
     };
DESCRIPTION
     These functions are versions of the corresponding  floating-
     point  math  library functions, overloaded for use with com-
     plex numbers.
     complex z = exp(x)
          Returns e raised to the x power, where x is  a  complex
          number, and e is the base of the natural logarithms.
     complex z = log(x)
          Returns the natural logarithm (base e) of x, where x is
          a complex number.
     complex z = log10(x)
          Returns the common logarithm (base 10) of x, where x is
          a complex number.
     complex z = pow(x, y)
          Returns x raised to the y power, where x or y (or both)
          are  complex numbers.  The library provides versions of
          this function optimized  for  various  combinations  of
          integer, floating-point, and complex arguments.
     complex z = sqrt(x)
          Returns the square root of x,  where  x  is  a  complex
          number.   The  real  part  of  the  result will be non-
          negative.
SEE ALSO
     cplx.intro(3C++), cartpol(3C++), cplxerr(3C++),
     cplxops(3C++), cplxtrig(3C++), intro(2), C++ Library Refer-
     ence Manual, Chapter 3, "The Complex Arithmetic Library."
DIAGNOSTICS
     exp(x)
          If the real part of x is small enough or the  imaginary
          part  is  large enough to cause overflow, exp() returns
          (0,0).  If the real part is large enough to cause over-
          flow,  returns a value depending on the sine and cosine
          of the imaginary part of x:
          ______________________________________________
         | x.imag()|  x.imag()|      returned value    |
         |_________|__________|________________________|
         |  sin>=0 |   cos>=0 |   (HUGE_VAL, HUGE_VAL) |
         |_________|__________|________________________|
         |  sin< 0 |   cos>=0 |   (HUGE_VAL, -HUGE_VAL)|
         |_________|__________|________________________|
         |  sin>=0 |   cos< 0 |  (-HUGE_VAL, HUGE_VAL) |
         |_________|__________|________________________|
         |  sin< 0 |   cos< 0 |  (-HUGE_VAL, -HUGE_VAL)|
         |_________|__________|________________________|
          In all cases, errno is set to ERANGE (see intro(2)).
     log(x), log10(x)
          If x is (0,0), returns (-HUGE_VAL, 0),  sets  errno  to
          EDOM  (see  intro(2)),  and generates a SING error (see
          cplxerr(3C++)).
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