8.9.6.2 IfcBaseAxis

8.9.6.2.1 Semantic definition

8.9.6.2.2 Formal representation

FUNCTION IfcBaseAxis
  (Dim : INTEGER; 
   Axis1, Axis2, Axis3 : IfcDirection) 
    : LIST [2:3] OF IfcDirection;

LOCAL
  U : LIST [2:3] OF IfcDirection;
  Factor : REAL;
  D1, D2 : IfcDirection;
END_LOCAL;

  IF (Dim = 3) THEN 
    D1 := NVL(IfcNormalise(Axis3), IfcRepresentationItem() || IfcGeometricRepresentationItem () || IfcDirection([0.0,0.0,1.0]));
    D2 := IfcFirstProjAxis(D1, Axis1);
    U  := [D2, IfcSecondProjAxis(D1, D2, Axis2), D1];
  ELSE
    IF EXISTS(Axis1) THEN
      D1 := IfcNormalise(Axis1);
      U  := [D1, IfcOrthogonalComplement(D1)];
      IF EXISTS(Axis2) THEN
        Factor := IfcDotProduct(Axis2, U[2]);
        IF (Factor < 0.0) THEN
          U[2].DirectionRatios[1] := -U[2].DirectionRatios[1];
          U[2].DirectionRatios[2] := -U[2].DirectionRatios[2];
        END_IF;
      END_IF;
    ELSE
      IF EXISTS(Axis2) THEN
        D1 := IfcNormalise(Axis2);
        U  := [IfcOrthogonalComplement(D1), D1];
        U[1].DirectionRatios[1] := -U[1].DirectionRatios[1];
        U[1].DirectionRatios[2] := -U[1].DirectionRatios[2];
        ELSE
          U := [IfcRepresentationItem() || IfcGeometricRepresentationItem () || IfcDirection([1.0, 0.0]), 
                IfcRepresentationItem() || IfcGeometricRepresentationItem () || IfcDirection([0.0, 1.0])];
      END_IF;
    END_IF;
  END_IF;
  RETURN(U);

END_FUNCTION;

8.9.6.2.3 References

• IfcCartesianTransformationOperator2D
• IfcCartesianTransformationOperator3D