Package org.hipparchus.geometry.spherical.oned

Class ArcsSet

java.lang.Object

org.hipparchus.geometry.partitioning.AbstractRegion<Sphere1D,S1Point,LimitAngle,SubLimitAngle,Sphere1D,S1Point,LimitAngle,SubLimitAngle>

org.hipparchus.geometry.spherical.oned.ArcsSet

All Implemented Interfaces:

Iterable<double[]>, Region<Sphere1D,S1Point,LimitAngle,SubLimitAngle>

public class ArcsSet
extends AbstractRegion<Sphere1D,S1Point,LimitAngle,SubLimitAngle,Sphere1D,S1Point,LimitAngle,SubLimitAngle>
implements Iterable<double[]>

This class represents a region of a circle: a set of arcs.

Note that due to the wrapping around \(2 \pi\), barycenter is ill-defined here. It was defined only in order to fulfill the requirements of the Region interface, but its use is discouraged.

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static class	ArcsSet.InconsistentStateAt2PiWrapping	Specialized exception for inconsistent BSP tree state inconsistency.
static class	ArcsSet.Split	Class holding the results of the split method.

Nested classes/interfaces inherited from interface org.hipparchus.geometry.partitioning.Region

Region.Location

Constructor Summary

Constructors

Constructor	Description
ArcsSet(double tolerance)	Build an arcs set representing the whole circle.
ArcsSet(double lower, double upper, double tolerance)	Build an arcs set corresponding to a single arc.
ArcsSet(Collection<SubLimitAngle> boundary, double tolerance)	Build an arcs set from a Boundary REPresentation (B-rep).
ArcsSet(BSPTree<Sphere1D,S1Point,LimitAngle,SubLimitAngle> tree, double tolerance)	Build an arcs set from an inside/outside BSP tree.

Method Summary

Modifier and Type	Method	Description
List<Arc>	asList()	Build an ordered list of arcs representing the instance.
ArcsSet	buildNew(BSPTree<Sphere1D,S1Point,LimitAngle,SubLimitAngle> tree)	Build a region using the instance as a prototype.
protected void	computeGeometricalProperties()	Compute some geometrical properties.
S1Point	getInteriorPoint()	Get an interior point.
Iterator<double[]>	iterator()
BoundaryProjection<Sphere1D,S1Point>	projectToBoundary(S1Point point)	Project a point on the boundary of the region.
ArcsSet.Split	split(Arc arc)	Split the instance in two parts by an arc.

Methods inherited from class org.hipparchus.geometry.partitioning.AbstractRegion

applyTransform, checkPoint, checkPoint, contains, copySelf, getBarycenter, getBoundarySize, getSize, getTolerance, getTree, intersection, isEmpty, isEmpty, isFull, isFull, 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 Details

ArcsSet

public ArcsSet(double tolerance)
        throws MathIllegalArgumentException

Build an arcs set representing the whole circle.

Parameters:

tolerance - tolerance below which close sub-arcs are merged together

Throws:

MathIllegalArgumentException - if tolerance is smaller than Sphere1D.SMALLEST_TOLERANCE

ArcsSet

public ArcsSet(double lower,
 double upper,
 double tolerance)
        throws MathIllegalArgumentException

Build an arcs set corresponding to a single arc.

If either lower is equals to upper or the interval exceeds \( 2 \pi \), the arc is considered to be the full circle and its initial defining boundaries will be forgotten. lower is not allowed to be greater than upper (an exception is thrown in this case).

Parameters:

lower - lower bound of the arc

upper - upper bound of the arc

tolerance - tolerance below which close sub-arcs are merged together

Throws:

MathIllegalArgumentException - if lower is greater than upper or tolerance is smaller than Sphere1D.SMALLEST_TOLERANCE

ArcsSet

public ArcsSet(BSPTree<Sphere1D,S1Point,LimitAngle,SubLimitAngle> tree,
 double tolerance)
        throws ArcsSet.InconsistentStateAt2PiWrapping,
MathIllegalArgumentException

Build an arcs 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 arcs set

tolerance - tolerance below which close sub-arcs are merged together

Throws:

ArcsSet.InconsistentStateAt2PiWrapping - if the tree leaf nodes are not consistent across the \( 0, 2 \pi \) crossing

MathIllegalArgumentException - if tolerance is smaller than Sphere1D.SMALLEST_TOLERANCE

ArcsSet

public ArcsSet(Collection<SubLimitAngle> boundary,
 double tolerance)
        throws ArcsSet.InconsistentStateAt2PiWrapping,
MathIllegalArgumentException

Build an arcs 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 close sub-arcs are merged together

Throws:

ArcsSet.InconsistentStateAt2PiWrapping - if the tree leaf nodes are not consistent across the \( 0, 2 \pi \) crossing

MathIllegalArgumentException - if tolerance is smaller than Sphere1D.SMALLEST_TOLERANCE

Method Details

buildNew

public ArcsSet buildNew(BSPTree<Sphere1D,S1Point,LimitAngle,SubLimitAngle> 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<Sphere1D,S1Point,LimitAngle,SubLimitAngle>

Specified by:

buildNew in class AbstractRegion<Sphere1D,S1Point,LimitAngle,SubLimitAngle,Sphere1D,S1Point,LimitAngle,SubLimitAngle>

Parameters:

tree - inside/outside BSP tree representing the new region

Returns:

the built region

getInteriorPoint

public S1Point getInteriorPoint()

Get an interior point.

Specified by:

getInteriorPoint in interface Region<Sphere1D,S1Point,LimitAngle,SubLimitAngle>

Returns:

an arbitrary interior point, or null if region is empty

computeGeometricalProperties

protected void computeGeometricalProperties()

Compute some geometrical properties.

The properties to compute are the barycenter and the size.

Specified by:

computeGeometricalProperties in class AbstractRegion<Sphere1D,S1Point,LimitAngle,SubLimitAngle,Sphere1D,S1Point,LimitAngle,SubLimitAngle>

projectToBoundary

public BoundaryProjection<Sphere1D,S1Point> projectToBoundary(S1Point point)

Project a point on the boundary of the region.

Specified by:

projectToBoundary in interface Region<Sphere1D,S1Point,LimitAngle,SubLimitAngle>

Overrides:

projectToBoundary in class AbstractRegion<Sphere1D,S1Point,LimitAngle,SubLimitAngle,Sphere1D,S1Point,LimitAngle,SubLimitAngle>

Parameters:

point - point to check

Returns:

projection of the point on the boundary

asList

public List<Arc> asList()

Build an ordered list of arcs representing the instance.

This method builds this arcs set as an ordered list of Arc elements. An empty tree will build an empty list while a tree representing the whole circle will build a one element list with bounds set to \( 0 and 2 \pi \).

Returns:

a new ordered list containing Arc elements

iterator

public Iterator<double[]> iterator()

The iterator returns the limit angles pairs of sub-arcs in trigonometric order.

The iterator does not support the optional remove operation.

Specified by:

iterator in interface Iterable<double[]>

split

public ArcsSet.Split split(Arc arc)

Split the instance in two parts by an arc.

Parameters:

arc - splitting arc

Returns:

an object containing both the part of the instance on the plus side of the arc and the part of the instance on the minus side of the arc