math.geom2d.domain
Class GenericDomain2D

java.lang.Object
  math.geom2d.domain.GenericDomain2D

All Implemented Interfaces:

Domain2D, GeometricObject2D, Shape2D

Direct Known Subclasses:

GenericCirculinearDomain2D

public class GenericDomain2D
extends java.lang.Object
implements Domain2D

A domain defined from its boundary. The boundary curve must be correctly oriented, non self intersecting, and clearly separating interior and exterior.

All contains and intersect tests are computed from the signed distance of the boundary curve.

Author:

Legland

Field Summary

Fields inherited from interface math.geom2d.Shape2D

ACCURACY

Constructor Summary

GenericDomain2D(Boundary2D boundary)

Method Summary

boolean	almostEquals(GeometricObject2D obj, double eps) Checks if the two objects are similar up to a given threshold value.
Polygon2D	asPolygon(int n) Returns an approximation of the domain as a polygon, or a MultiPolygon.
Boundary2D	boundary() Returns the boundary of the set.
Box2D	boundingBox() If the domain is bounded, returns the bounding box of its boundary, otherwise returns an infinite bounding box.
Domain2D	clip(Box2D box) Clip the shape with the given box, and returns a new shape.
Domain2D	complement() Returns the domain which complements this domain in the plane.
boolean	contains(double x, double y) Checks if the shape contains the planar point defined by (x,y).
boolean	contains(Point2D p) Checks if the shape contains the given point.
java.util.Collection<? extends Contour2D>	contours() Returns the set of contours that enclose this domain.
static GenericDomain2D	create(Boundary2D boundary)
double	distance(double x, double y) Returns the distance of the shape to the given point, specified by x and y, or the distance of point to the frontier of the shape in the case of a plain (i.e. fillable) shape.
double	distance(Point2D p) Returns the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
void	draw(java.awt.Graphics2D g2) Draws the boundary of the domain, using current Stroke and color.
boolean	equals(java.lang.Object obj)
void	fill(java.awt.Graphics2D g2) Fills the interior of the domain, using the Graphics current Paint.
boolean	isBounded() Returns true if the domain is bounded.
boolean	isEmpty() Returns true if the shape does not contain any point.
java.lang.String	toString()
GenericDomain2D	transform(AffineTransform2D trans) Returns a new domain which is created from the transformed domain of this boundary.

Methods inherited from class java.lang.Object

getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

GenericDomain2D

public GenericDomain2D(Boundary2D boundary)

Method Detail

create

public static GenericDomain2D create(Boundary2D boundary)

asPolygon

public Polygon2D asPolygon(int n)

Description copied from interface: Domain2D

Returns an approximation of the domain as a polygon, or a MultiPolygon.

Specified by:

asPolygon in interface Domain2D

Returns:

a polygon

boundary

public Boundary2D boundary()

Description copied from interface: Domain2D

Returns the boundary of the set. This boundary is either a continuous non intersecting curve (connected domain), or a set of non intersecting continuous curve (one continuous non-intersection for each connected part of the domain).

The returned curve is oriented, with an interior and an exterior.

Specified by:

boundary in interface Domain2D

Returns:

the boundary of the domain

contours

public java.util.Collection<? extends Contour2D> contours()

Description copied from interface: Domain2D

Returns the set of contours that enclose this domain. The result is a collection of shapes that implement the Contour2D interface.

Specified by:

contours in interface Domain2D

See Also:

Contour2D

complement

public Domain2D complement()

Description copied from interface: Domain2D

Returns the domain which complements this domain in the plane.

Specified by:

complement in interface Domain2D

Returns:

the complement of this domain.

distance

public double distance(Point2D p)

Description copied from interface: Shape2D

Returns the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.

Specified by:

distance in interface Shape2D

distance

public double distance(double x,
                       double y)

Description copied from interface: Shape2D

Returns the distance of the shape to the given point, specified by x and y, or the distance of point to the frontier of the shape in the case of a plain (i.e. fillable) shape.

Specified by:

distance in interface Shape2D

isBounded

public boolean isBounded()

Returns true if the domain is bounded. The domain is unbounded if either its boundary is unbounded, or a point located outside of the boundary bounding box is located inside of the domain.

Specified by:

isBounded in interface Shape2D

isEmpty

public boolean isEmpty()

Description copied from interface: Shape2D

Returns true if the shape does not contain any point. This is the case for example for PointSet2D without any point.

Specified by:

isEmpty in interface Shape2D

Returns:

true if the shape does not contain any point.

clip

public Domain2D clip(Box2D box)

Description copied from interface: Shape2D

Clip the shape with the given box, and returns a new shape. The box must be bounded.

Specified by:

clip in interface Domain2D

Specified by:

clip in interface Shape2D

Parameters:

box - the clipping box

Returns:

the clipped shape

boundingBox

public Box2D boundingBox()

If the domain is bounded, returns the bounding box of its boundary, otherwise returns an infinite bounding box.

Specified by:

boundingBox in interface Shape2D

Returns:

the bounding box of the shape.

transform

public GenericDomain2D transform(AffineTransform2D trans)

Returns a new domain which is created from the transformed domain of this boundary.

Specified by:

transform in interface Domain2D

Specified by:

transform in interface Shape2D

Parameters:

trans - an affine transform

Returns:

the transformed shape

contains

public boolean contains(double x,
                        double y)

Description copied from interface: Shape2D

Checks if the shape contains the planar point defined by (x,y).

Specified by:

contains in interface Shape2D

contains

public boolean contains(Point2D p)

Description copied from interface: Shape2D

Checks if the shape contains the given point.

Specified by:

contains in interface Shape2D

draw

public void draw(java.awt.Graphics2D g2)

Description copied from interface: Domain2D

Draws the boundary of the domain, using current Stroke and color.

Specified by:

draw in interface Domain2D

Specified by:

draw in interface Shape2D

Parameters:

g2 - the Graphics to draw on

fill

public void fill(java.awt.Graphics2D g2)

Description copied from interface: Domain2D

Fills the interior of the domain, using the Graphics current Paint.

Specified by:

fill in interface Domain2D

Parameters:

g2 - the Graphics to fill on

almostEquals

public boolean almostEquals(GeometricObject2D obj,
                            double eps)

Description copied from interface: GeometricObject2D

Checks if the two objects are similar up to a given threshold value. This method can be used to compare the results of geometric computations, that introduce errors due to numerical computations.

Specified by:

almostEquals in interface GeometricObject2D

Parameters:

obj - the object to compare

eps - a threshold value, for example the minimal coordinate difference

Returns:

true if both object have the same value up to the threshold

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class java.lang.Object