org.apache.commons.math4.geometry.euclidean.oned

## Class IntervalsSet

• All Implemented Interfaces:
Iterable<double[]>, Region<Euclidean1D>

public class IntervalsSet
extends AbstractRegion<Euclidean1D,Euclidean1D>
implements Iterable<double[]>
This class represents a 1D region: a set of intervals.
Since:
3.0

• ### Nested classes/interfaces inherited from interface org.apache.commons.math4.geometry.partitioning.Region

Region.Location
• ### Constructor Summary

Constructors
Constructor and Description
IntervalsSet(BSPTree<Euclidean1D> tree, double tolerance)
Build an intervals set from an inside/outside BSP tree.
IntervalsSet(Collection<SubHyperplane<Euclidean1D>> boundary, double tolerance)
Build an intervals set from a Boundary REPresentation (B-rep).
IntervalsSet(double tolerance)
Build an intervals set representing the whole real line.
IntervalsSet(double lower, double upper, double tolerance)
Build an intervals set corresponding to a single interval.
• ### Method Summary

All Methods
Modifier and Type Method and Description
List<Interval> asList()
Build an ordered list of intervals representing the instance.
IntervalsSet buildNew(BSPTree<Euclidean1D> tree)
Build a region using the instance as a prototype.
protected void computeGeometricalProperties()
Compute some geometrical properties.
double getInf()
Get the lowest value belonging to the instance.
double getSup()
Get the highest value belonging to the instance.
Iterator<double[]> iterator()
BoundaryProjection<Euclidean1D> projectToBoundary(Point<Euclidean1D> point)
Project a point on the boundary of the region.
• ### Methods inherited from class org.apache.commons.math4.geometry.partitioning.AbstractRegion

applyTransform, checkPoint, checkPoint, checkPoint, checkPoint, contains, copySelf, getBarycenter, getBoundarySize, getSize, getTolerance, getTree, intersection, isEmpty, isEmpty, isFull, isFull, setBarycenter, setBarycenter, setSize
• ### Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
• ### Methods inherited from interface java.lang.Iterable

forEach, spliterator
• ### Constructor Detail

• #### IntervalsSet

public IntervalsSet(double tolerance)
Build an intervals set representing the whole real line.
Parameters:
tolerance - tolerance below which points are considered identical.
Since:
3.3
• #### IntervalsSet

public IntervalsSet(double lower,
double upper,
double tolerance)
Build an intervals set corresponding to a single interval.
Parameters:
lower - lower bound of the interval, must be lesser or equal to upper (may be Double.NEGATIVE_INFINITY)
upper - upper bound of the interval, must be greater or equal to lower (may be Double.POSITIVE_INFINITY)
tolerance - tolerance below which points are considered identical.
Since:
3.3
• #### IntervalsSet

public IntervalsSet(BSPTree<Euclidean1D> tree,
double tolerance)
Build an intervals set from an inside/outside BSP tree.

The leaf nodes of the BSP tree must have a Boolean attribute representing the inside status of the corresponding cell (true for inside cells, false for outside cells). In order to avoid building too many small objects, it is recommended to use the predefined constants Boolean.TRUE and Boolean.FALSE

Parameters:
tree - inside/outside BSP tree representing the intervals set
tolerance - tolerance below which points are considered identical.
Since:
3.3
• #### IntervalsSet

public IntervalsSet(Collection<SubHyperplane<Euclidean1D>> boundary,
double tolerance)
Build an intervals set from a Boundary REPresentation (B-rep).

The boundary is provided as a collection of sub-hyperplanes. Each sub-hyperplane has the interior part of the region on its minus side and the exterior on its plus side.

The boundary elements can be in any order, and can form several non-connected sets (like for example polygons with holes or a set of disjoints polyhedrons considered as a whole). In fact, the elements do not even need to be connected together (their topological connections are not used here). However, if the boundary does not really separate an inside open from an outside open (open having here its topological meaning), then subsequent calls to the checkPoint method will not be meaningful anymore.

If the boundary is empty, the region will represent the whole space.

Parameters:
boundary - collection of boundary elements
tolerance - tolerance below which points are considered identical.
Since:
3.3
• ### Method Detail

• #### buildNew

public IntervalsSet buildNew(BSPTree<Euclidean1D> tree)
Build a region using the instance as a prototype.

This method allow to create new instances without knowing exactly the type of the region. It is an application of the prototype design pattern.

The leaf nodes of the BSP tree must have a Boolean attribute representing the inside status of the corresponding cell (true for inside cells, false for outside cells). In order to avoid building too many small objects, it is recommended to use the predefined constants Boolean.TRUE and Boolean.FALSE. The tree also must have either null internal nodes or internal nodes representing the boundary as specified in the getTree method).

Specified by:
buildNew in interface Region<Euclidean1D>
Specified by:
buildNew in class AbstractRegion<Euclidean1D,Euclidean1D>
Parameters:
tree - inside/outside BSP tree representing the new region
Returns:
the built region
• #### computeGeometricalProperties

protected void computeGeometricalProperties()
Compute some geometrical properties.

The properties to compute are the barycenter and the size.

Specified by:
computeGeometricalProperties in class AbstractRegion<Euclidean1D,Euclidean1D>
• #### getInf

public double getInf()
Get the lowest value belonging to the instance.
Returns:
lowest value belonging to the instance (Double.NEGATIVE_INFINITY if the instance doesn't have any low bound, Double.POSITIVE_INFINITY if the instance is empty)
• #### getSup

public double getSup()
Get the highest value belonging to the instance.
Returns:
highest value belonging to the instance (Double.POSITIVE_INFINITY if the instance doesn't have any high bound, Double.NEGATIVE_INFINITY if the instance is empty)
• #### projectToBoundary

public BoundaryProjection<Euclidean1D> projectToBoundary(Point<Euclidean1D> point)
Project a point on the boundary of the region.
Specified by:
projectToBoundary in interface Region<Euclidean1D>
Overrides:
projectToBoundary in class AbstractRegion<Euclidean1D,Euclidean1D>
Parameters:
point - point to check
Returns:
projection of the point on the boundary
Since:
3.3
• #### asList

public List<Interval> asList()
Build an ordered list of intervals representing the instance.

This method builds this intervals set as an ordered list of Interval elements. If the intervals set has no lower limit, the first interval will have its low bound equal to Double.NEGATIVE_INFINITY. If the intervals set has no upper limit, the last interval will have its upper bound equal to Double.POSITIVE_INFINITY. An empty tree will build an empty list while a tree representing the whole real line will build a one element list with both bounds being infinite.

Returns:
a new ordered list containing Interval elements
• #### iterator

public Iterator<double[]> iterator()

The iterator returns the limit values of sub-intervals in ascending order.

The iterator does not support the optional remove operation.

Specified by:
iterator in interface Iterable<double[]>
Since:
3.3