gm2-libs-iso/ComplexMath (The GNU Modula-2 Compiler)

#### 4.4.5 gm2-libs-iso/ComplexMath ¶

    DEFINITION MODULE ComplexMath;

      (* Mathematical functions for the type COMPLEX *)

    CONST
      i =    CMPLX (0.0, 1.0);
      one =  CMPLX (1.0, 0.0);
      zero = CMPLX (0.0, 0.0);

    PROCEDURE __BUILTIN__ abs (z: COMPLEX): REAL;
      (* Returns the length of z *)

    PROCEDURE __BUILTIN__ arg (z: COMPLEX): REAL;
      (* Returns the angle that z subtends to the positive real axis *)

    PROCEDURE __BUILTIN__ conj (z: COMPLEX): COMPLEX;
      (* Returns the complex conjugate of z *)

    PROCEDURE __BUILTIN__ power (base: COMPLEX; exponent: REAL): COMPLEX;
      (* Returns the value of the number base raised to the power exponent *)

    PROCEDURE __BUILTIN__ sqrt (z: COMPLEX): COMPLEX;
      (* Returns the principal square root of z *)

    PROCEDURE __BUILTIN__ exp (z: COMPLEX): COMPLEX;
      (* Returns the complex exponential of z *)

    PROCEDURE __BUILTIN__ ln (z: COMPLEX): COMPLEX;
      (* Returns the principal value of the natural logarithm of z *)

    PROCEDURE __BUILTIN__ sin (z: COMPLEX): COMPLEX;
      (* Returns the sine of z *)

    PROCEDURE __BUILTIN__ cos (z: COMPLEX): COMPLEX;
      (* Returns the cosine of z *)

    PROCEDURE __BUILTIN__ tan (z: COMPLEX): COMPLEX;
      (* Returns the tangent of z *)

    PROCEDURE __BUILTIN__ arcsin (z: COMPLEX): COMPLEX;
      (* Returns the arcsine of z *)

    PROCEDURE __BUILTIN__ arccos (z: COMPLEX): COMPLEX;
      (* Returns the arccosine of z *)

    PROCEDURE __BUILTIN__ arctan (z: COMPLEX): COMPLEX;
      (* Returns the arctangent of z *)

    PROCEDURE polarToComplex (abs, arg: REAL): COMPLEX;
      (* Returns the complex number with the specified polar coordinates *)

    PROCEDURE scalarMult (scalar: REAL; z: COMPLEX): COMPLEX;
      (* Returns the scalar product of scalar with z *)

    PROCEDURE IsCMathException (): BOOLEAN;
      (* Returns TRUE if the current coroutine is in the exceptional
         execution state because of the raising of an exception in a
         routine from this module; otherwise returns FALSE.
      *)

    END ComplexMath.