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### 8.10.6 Complex Number Operations

@@ A lot of details missing here

- binary operators `+`, `-`, `*`, `/` and unary `-`, `+`
- exponentiation operators (`pow` and `**`)
- functions (`Sqr`, `ArcTan`, `SqRt`, `Exp`, `Ln`, `Sin`, `Cos`)
- number info with `Re`, `Im` and `Arg` functions
- numbers constructed by `Cmplx` or `Polar`

The following sample programs illustrates most of the `Complex` type operations.

    program ComplexOperationsDemo (Output);

    var
      z1, z2: Complex;
      Len, Angle: Real;

    begin
      z1 := Cmplx (2, 1);
      WriteLn;
      WriteLn ('Complex number z1 is: (', Re (z1) : 1, ',', Im (z1) : 1, ')');
      WriteLn;
      z2 := Conjugate(z1); { GPC extension }
      WriteLn ('Conjugate of z1 is: (', Re (z2) : 1, ',', Im (z2) : 1, ')');
      WriteLn;
      Len   := Abs (z1);
      Angle := Arg (z1);
      WriteLn ('The polar representation of z1 is: Length=', Len : 1,
               ', Angle=', Angle : 1);
      WriteLn;
      z2 := Polar (Len, Angle);
      WriteLn ('Converting (Length, Angle) back to (x, y) gives: (',
               Re (z2) : 1, ',', Im (z2) : 1, ')');
      WriteLn;
      WriteLn ('The following operations operate on the complex number z1');
      WriteLn;
      z2 := ArcTan (z1);
      WriteLn ('ArcTan (z1) = (', Re (z2), ', ', Im (z2), ')');
      WriteLn;
      z2 := z1 ** 3.141;
      WriteLn ('z1 ** 3.141 =', Re (z2), ', ', Im (z2), ')');
      WriteLn;
      z2 := Sin (z1);
      WriteLn ('Sin (z1) = (', Re (z2), ', ', Im (z2), ')');
      WriteLn ('(Cos, Ln, Exp, SqRt and Sqr exist also.)');
      WriteLn;
      z2 := z1 pow 8;
      WriteLn ('z1 pow 8 = (', Re (z2), ', ', Im (z2), ')');
      WriteLn;
      z2 := z1 pow (-8);
      WriteLn ('z1 pow (-8) = (', Re (z2), ', ', Im (z2), ')');
    end.

This document was generated by Frank Heckenbach on May, 10 2002 using texi2html