Class OrientedPoint

  • All Implemented Interfaces:
    Hyperplane<Euclidean1D>

    public class OrientedPoint
    extends Object
    implements Hyperplane<Euclidean1D>
    This class represents a 1D oriented hyperplane.

    An hyperplane in 1D is a simple point, its orientation being a boolean.

    Instances of this class are guaranteed to be immutable.

    • Constructor Detail

      • OrientedPoint

        public OrientedPoint​(Vector1D location,
                             boolean direct,
                             double tolerance)
        Simple constructor.
        Parameters:
        location - location of the hyperplane
        direct - if true, the plus side of the hyperplane is towards abscissas greater than location
        tolerance - tolerance below which points are considered to belong to the hyperplane
    • Method Detail

      • copySelf

        public OrientedPoint copySelf()
        Copy the instance.

        Since instances are immutable, this method directly returns the instance.

        Specified by:
        copySelf in interface Hyperplane<Euclidean1D>
        Returns:
        the instance itself
      • getOffset

        public double getOffset​(Vector<Euclidean1D,​Vector1D> vector)
        Get the offset (oriented distance) of a vector.
        Parameters:
        vector - vector to check
        Returns:
        offset of the vector
      • getOffset

        public double getOffset​(Point<Euclidean1D> point)
        Get the offset (oriented distance) of a point.

        The offset is 0 if the point is on the underlying hyperplane, it is positive if the point is on one particular side of the hyperplane, and it is negative if the point is on the other side, according to the hyperplane natural orientation.

        Specified by:
        getOffset in interface Hyperplane<Euclidean1D>
        Parameters:
        point - point to check
        Returns:
        offset of the point
      • wholeHyperplane

        public SubOrientedPoint wholeHyperplane()
        Build a region covering the whole hyperplane.

        Since this class represent zero dimension spaces which does not have lower dimension sub-spaces, this method returns a dummy implementation of a SubHyperplane. This implementation is only used to allow the SubHyperplane class implementation to work properly, it should not be used otherwise.

        Specified by:
        wholeHyperplane in interface Hyperplane<Euclidean1D>
        Returns:
        a dummy sub hyperplane
      • emptyHyperplane

        public SubOrientedPoint emptyHyperplane()
        Build a sub-hyperplane covering nothing..

        Since this class represent zero dimension spaces which does not have lower dimension sub-spaces, this method returns a dummy implementation of a SubHyperplane. This implementation is only used to allow the SubHyperplane class implementation to work properly, it should not be used otherwise.

        Specified by:
        emptyHyperplane in interface Hyperplane<Euclidean1D>
        Returns:
        a dummy sub hyperplane
      • sameOrientationAs

        public boolean sameOrientationAs​(Hyperplane<Euclidean1D> other)
        Check if the instance has the same orientation as another hyperplane.

        This method is expected to be called on parallel hyperplanes. The method should not re-check for parallelism, only for orientation, typically by testing something like the sign of the dot-products of normals.

        Specified by:
        sameOrientationAs in interface Hyperplane<Euclidean1D>
        Parameters:
        other - other hyperplane to check against the instance
        Returns:
        true if the instance and the other hyperplane have the same orientation
      • getTolerance

        public double getTolerance()
        Get the tolerance below which points are considered to belong to the hyperplane.
        Specified by:
        getTolerance in interface Hyperplane<Euclidean1D>
        Returns:
        tolerance below which points are considered to belong to the hyperplane
      • getLocation

        public Vector1D getLocation()
        Get the hyperplane location on the real line.
        Returns:
        the hyperplane location
      • isDirect

        public boolean isDirect()
        Check if the hyperplane orientation is direct.
        Returns:
        true if the plus side of the hyperplane is towards abscissae greater than hyperplane location
      • revertSelf

        public void revertSelf()
        Revert the instance.