public class ArcsSet extends AbstractRegion<Sphere1D,Sphere1D> implements Iterable<double[]>
Note that due to the wrapping around \(2 \pi\), barycenter is
illdefined here. It was defined only in order to fulfill
the requirements of the Region
interface, but its use is discouraged.
Modifier and Type  Class and 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. 
Region.Location
Constructor and Description 

ArcsSet(BSPTree<Sphere1D> tree,
double tolerance)
Build an arcs set from an inside/outside BSP tree.

ArcsSet(Collection<SubHyperplane<Sphere1D>> boundary,
double tolerance)
Build an arcs set from a Boundary REPresentation (Brep).

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.

Modifier and Type  Method and Description 

List<Arc> 
asList()
Build an ordered list of arcs representing the instance.

ArcsSet 
buildNew(BSPTree<Sphere1D> tree)
Build a region using the instance as a prototype.

protected void 
computeGeometricalProperties()
Compute some geometrical properties.

Iterator<double[]> 
iterator() 
BoundaryProjection<Sphere1D> 
projectToBoundary(Point<Sphere1D> point)
Project a point on the boundary of the region.

Side 
side(Arc arc)
Compute the relative position of the instance with respect
to an arc.

ArcsSet.Split 
split(Arc arc)
Split the instance in two parts by an arc.

applyTransform, checkPoint, checkPoint, checkPoint, checkPoint, contains, copySelf, getBarycenter, getBoundarySize, getSize, getTolerance, getTree, intersection, isEmpty, isEmpty, isFull, isFull, setBarycenter, setBarycenter, setSize, side
public ArcsSet(double tolerance)
tolerance
 tolerance below which close subarcs are merged togetherpublic ArcsSet(double lower, double upper, double tolerance) throws NumberIsTooLargeException
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).
lower
 lower bound of the arcupper
 upper bound of the arctolerance
 tolerance below which close subarcs are merged togetherNumberIsTooLargeException
 if lower is greater than upperpublic ArcsSet(BSPTree<Sphere1D> tree, double tolerance) throws ArcsSet.InconsistentStateAt2PiWrapping
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
tree
 inside/outside BSP tree representing the arcs settolerance
 tolerance below which close subarcs are merged togetherArcsSet.InconsistentStateAt2PiWrapping
 if the tree leaf nodes are not
consistent across the \( 0, 2 \pi \) crossingpublic ArcsSet(Collection<SubHyperplane<Sphere1D>> boundary, double tolerance) throws ArcsSet.InconsistentStateAt2PiWrapping
The boundary is provided as a collection of subhyperplanes
. Each subhyperplane 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 nonconnected 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.
boundary
 collection of boundary elementstolerance
 tolerance below which close subarcs are merged togetherArcsSet.InconsistentStateAt2PiWrapping
 if the tree leaf nodes are not
consistent across the \( 0, 2 \pi \) crossingpublic ArcsSet buildNew(BSPTree<Sphere1D> tree)
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).
protected void computeGeometricalProperties()
The properties to compute are the barycenter and the size.
computeGeometricalProperties
in class AbstractRegion<Sphere1D,Sphere1D>
public BoundaryProjection<Sphere1D> projectToBoundary(Point<Sphere1D> point)
projectToBoundary
in interface Region<Sphere1D>
projectToBoundary
in class AbstractRegion<Sphere1D,Sphere1D>
point
 point to checkpublic List<Arc> asList()
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 \( 0 and 2 \pi \).
Arc
elementspublic Iterator<double[]> iterator()
The iterator returns the limit angles pairs of subarcs in trigonometric order.
The iterator does not support the optional remove
operation.
public Side side(Arc arc)
The Side.MINUS
side of the arc is the one covered by the arc.
arc
 arc to check instance againstSide.PLUS
, Side.MINUS
, Side.BOTH
or Side.HYPER
public ArcsSet.Split split(Arc arc)
arc
 splitting arcCopyright © 2003–2014 The Apache Software Foundation. All rights reserved.