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

#### 4.4.58 gm2-libs-iso/ShortComplexMath ¶

    DEFINITION MODULE ShortComplexMath;

      (* Mathematical functions for the type SHORTCOMPLEX *)

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

    PROCEDURE abs (z: SHORTCOMPLEX): SHORTREAL;
      (* Returns the length of z *)

    PROCEDURE arg (z: SHORTCOMPLEX): SHORTREAL;
      (* Returns the angle that z subtends to the positive real axis *)

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

    PROCEDURE power (base: SHORTCOMPLEX; exponent: SHORTREAL): SHORTCOMPLEX;
      (* Returns the value of the number base raised to the power exponent *)

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

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

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

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

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

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

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

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

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

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

    PROCEDURE scalarMult (scalar: SHORTREAL; z: SHORTCOMPLEX): SHORTCOMPLEX;
      (* 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 ShortComplexMath.