org.opengis.spatialschema.geometry

Interface TransfiniteSet

All Known Subinterfaces:

Aggregate, Boundary, Complex, ComplexBoundary, Composite, CompositeCurve, CompositeSurface, Curve, CurveBoundary, Geometry, MultiPoint, MultiPrimitive, OrientableCurve, OrientablePrimitive, OrientableSurface, Point, PolyhedralSurface, Primitive, PrimitiveBoundary, Ring, Shell, Solid, SolidBoundary, Surface, SurfaceBoundary, Tin, TriangulatedSurface

@UML(identifier="TransfiniteSet",
     specification=ISO_19107)
public interface TransfiniteSet

A possibly infinite set; restricted only to values. For example, the integers and the real numbers are transfinite sets. This is actually the usual definition of set in mathematics, but programming languages restrict the term set to mean finite set.

Since:

GeoAPI 1.0

Method Summary

Modifier and Type	Method and Description
boolean	contains(DirectPosition point) Returns true if this TransfiniteSet contains a single point given by a coordinate.
boolean	contains(TransfiniteSet pointSet) Returns true if this TransfiniteSet contains another TransfiniteSet.
TransfiniteSet	difference(TransfiniteSet pointSet) Returns the set theoretic difference of this TransfiniteSet and the passed TransfiniteSet.
boolean	equals(TransfiniteSet pointSet) Returns true if this TransfiniteSet is equal to another TransfiniteSet.
TransfiniteSet	intersection(TransfiniteSet pointSet) Returns the set theoretic intersection of this TransfiniteSet and the passed TransfiniteSet.
boolean	intersects(TransfiniteSet pointSet) Returns true if this TransfiniteSet intersects another TransfiniteSet.
TransfiniteSet	symmetricDifference(TransfiniteSet pointSet) Returns the set theoretic symmetric difference of this TransfiniteSet and the passed TransfiniteSet.
TransfiniteSet	union(TransfiniteSet pointSet) Returns the set theoretic union of this TransfiniteSet and the passed TransfiniteSet.

Method Detail

contains

boolean contains(TransfiniteSet pointSet)

Returns true if this TransfiniteSet contains another TransfiniteSet. If the passed TransfiniteSet is a point, then this operation is the equivalent of a set-element test for the direct position of that point within this TransfiniteSet.

NOTE: contains is strictly a set theoretic containment, and has no dimensionality constraint. In a complex, no primitive will contain another unless a dimension is skipped.

Parameters:

pointSet - The set to be checked for containment in this set.

Returns:

true if this set contains all of the elements of the specified set.

contains

boolean contains(DirectPosition point)

Returns true if this TransfiniteSet contains a single point given by a coordinate.

Parameters:

point - The point to be checked for containment in this set.

Returns:

true if this set contains the specified point.

intersects

boolean intersects(TransfiniteSet pointSet)

Returns true if this TransfiniteSet intersects another TransfiniteSet. Withing a complex, the primitives do not intersect one another. In general, topologically structured data uses shared geometric objects to capture intersection information.

NOTE: This intersect is strictly a set theoretic common containment of direct positions. Two curves do not intersect if they share a common end point because primitives are considered to be open (do not contain their boundary). If two composite curves share a common end point, then they intersect because complexes are considered to be closed (contain their boundary).

Parameters:

pointSet - The set to be checked for intersection with this set.

Returns:

true if this set intersects some of the elements of the specified set.

equals

boolean equals(TransfiniteSet pointSet)

Returns true if this TransfiniteSet is equal to another TransfiniteSet. Two different instances of TransfiniteSet are equal if they return the same boolean value for the operation contains for every tested direct position within the valid range of the coordinate reference system associated to the object.

NOTE: Since an infinite set of direct positions cannot be tested, the internal implementation of equal must test for equivalence between two, possibly quite different, representations. This test may be limited to the resolution of the coordinate system or the accuracy of the data. Implementations may define a tolerance that returns true if the two TransfiniteSet have the same dimension and each direct position in this TransfiniteSet is within a tolerance distance of a direct position in the passed TransfiniteSet and vice versa.

Parameters:

pointSet - The set to test for equality.

Returns:

true if the two set are equals.

union

TransfiniteSet union(TransfiniteSet pointSet)

Returns the set theoretic union of this TransfiniteSet and the passed TransfiniteSet.

Parameters:

pointSet - The second set.

Returns:

The union of both sets.

intersection

TransfiniteSet intersection(TransfiniteSet pointSet)

Returns the set theoretic intersection of this TransfiniteSet and the passed TransfiniteSet.

Parameters:

pointSet - The second set.

Returns:

The intersection of both sets.

difference

TransfiniteSet difference(TransfiniteSet pointSet)

Returns the set theoretic difference of this TransfiniteSet and the passed TransfiniteSet.

Parameters:

pointSet - The second set.

Returns:

The difference between both sets.

symmetricDifference

TransfiniteSet symmetricDifference(TransfiniteSet pointSet)

Returns the set theoretic symmetric difference of this TransfiniteSet and the passed TransfiniteSet.

Parameters:

pointSet - The second set.

Returns:

The symmetric difference between both sets.