Improved polygons creation with a numerically more robust constructor.
This is only a partial fix for issue 880 because there are still some glitches in the first polygon involved in the issue. JIRA: MATH-880 git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1400717 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
parent
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@ -52,13 +52,15 @@ If the output is not quite correct, check for invisible trailing spaces!
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<body>
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<release version="3.1" date="TBD" description="
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">
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<action dev="luc" type="fix" issue="MATH-880">
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Improved construction of polygons with an additional constructor, more robust numerically.
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</action>
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<action dev="tn" type="add" issue="MATH-474" due-to="Dan Checkoway">
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Added new methods "merge(Frequency)", "merge(Collection<Frequency>)",
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"incrementValue(Comparable<?>, long)" and "entrySetIterator()" to the "Frequency" class.
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</action>
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<action dev="tn" type="fix" issue="MATH-778" due-to="Sébastien Brisard">
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Allow unlimited input values for "Dfp#multiply(int)".
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</action>
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<action dev="luc" type="fix" issue="MATH-641" due-to="Curtis Jensen">
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Added distance to point to 2D Line and Segment.
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</action>
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@ -25,12 +25,13 @@ import org.apache.commons.math3.geometry.euclidean.oned.Euclidean1D;
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import org.apache.commons.math3.geometry.euclidean.oned.Interval;
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import org.apache.commons.math3.geometry.euclidean.oned.IntervalsSet;
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import org.apache.commons.math3.geometry.euclidean.oned.Vector1D;
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import org.apache.commons.math3.geometry.partitioning.AbstractRegion;
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import org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane;
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import org.apache.commons.math3.geometry.partitioning.BSPTree;
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import org.apache.commons.math3.geometry.partitioning.BSPTreeVisitor;
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import org.apache.commons.math3.geometry.partitioning.BoundaryAttribute;
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import org.apache.commons.math3.geometry.partitioning.Side;
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import org.apache.commons.math3.geometry.partitioning.SubHyperplane;
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import org.apache.commons.math3.geometry.partitioning.AbstractRegion;
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import org.apache.commons.math3.geometry.partitioning.utilities.AVLTree;
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import org.apache.commons.math3.geometry.partitioning.utilities.OrderedTuple;
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import org.apache.commons.math3.util.FastMath;
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@ -98,6 +99,26 @@ public class PolygonsSet extends AbstractRegion<Euclidean2D, Euclidean1D> {
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super(boxBoundary(xMin, xMax, yMin, yMax));
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}
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/** Build a polygon from a simple list of vertices.
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* <p>The boundary is provided as a list of points considering to
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* represent the vertices of a simple loop. The interior part of the
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* region is on the left side of this path and the exterior is on its
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* right side.</p>
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* <p>This constructor does not handle polygons with a boundary
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* forming several disconnected paths (such as polygons with holes).</p>
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* <p>For cases where this simple constructor applies, it is expected to
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* be numerically more robust than the {@link #PolygonsSet(Collection) general
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* constructor} using {@link SubHyperplane subhyperplanes}.</p>
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* <p>If the list is empty, the region will represent the whole
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* space.</p>
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* @param hyperplaneThickness tolerance below which points are considered to
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* belong to the hyperplane (which is therefore more a slab)
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* @param vertices vertices of the simple loop boundary
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*/
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public PolygonsSet(final double hyperplaneThickness, final Vector2D ... vertices) {
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super(verticesToTree(hyperplaneThickness, vertices));
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}
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/** Create a list of hyperplanes representing the boundary of a box.
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* @param xMin low bound along the x direction
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* @param xMax high bound along the x direction
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@ -119,6 +140,249 @@ public class PolygonsSet extends AbstractRegion<Euclidean2D, Euclidean1D> {
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};
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}
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/** Build the BSP tree of a polygons set from a simple list of vertices.
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* <p>The boundary is provided as a list of points considering to
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* represent the vertices of a simple loop. The interior part of the
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* region is on the left side of this path and the exterior is on its
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* right side.</p>
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* <p>This constructor does not handle polygons with a boundary
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* forming several disconnected paths (such as polygons with holes).</p>
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* <p>For cases where this simple constructor applies, it is expected to
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* be numerically more robust than the {@link #PolygonsSet(Collection) general
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* constructor} using {@link SubHyperplane subhyperplanes}.</p>
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* @param hyperplaneThickness tolerance below which points are consider to
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* belong to the hyperplane (which is therefore more a slab)
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* @param vertices vertices of the simple loop boundary
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*/
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private static BSPTree<Euclidean2D> verticesToTree(final double hyperplaneThickness,
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final Vector2D ... vertices) {
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if (vertices.length == 0) {
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// the tree represents the whole space
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return new BSPTree<Euclidean2D>(Boolean.TRUE);
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}
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// at start, none of the edges have been processed
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final BSPTree<Euclidean2D> tree = new BSPTree<Euclidean2D>();
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List<Vertex> list = new ArrayList<PolygonsSet.Vertex>(vertices.length);
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for (final Vector2D vertex : vertices) {
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list.add(new Vertex(vertex));
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}
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// build the tree top-down
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insertVertices(hyperplaneThickness, tree, list);
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return tree;
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}
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/** Recursively build a tree by inserting cut sub-hyperplanes.
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* @param hyperplaneThickness tolerance below which points are consider to
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* belong to the hyperplane (which is therefore more a slab)
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* @param node current tree node (it is a leaf node at the beginning
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* of the call)
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* @param vertices list of vertices belonging to the boundary of the
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* cell defined by the node
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*/
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private static void insertVertices(final double hyperplaneThickness,
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final BSPTree<Euclidean2D> node,
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final List<Vertex> vertices) {
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Vertex current = vertices.get(vertices.size() - 1);
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int index = 0;
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Line inserted = null;
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while (inserted == null && index < vertices.size()) {
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final Vertex previous = current;
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current = vertices.get(index++);
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if (previous.outgoingNeedsProcessing() && current.incomingNeedsProcessing()) {
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if (previous.shareNodeWith(current)) {
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// both vertices are already handled by an existing node,
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// closer to the tree root, they were probably created
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// when split points were introduced
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inserted = null;
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} else {
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inserted = new Line(previous.getLocation(), current.getLocation());
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if (node.insertCut(inserted)) {
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previous.addNode(node);
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previous.outgoingProcessed();
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current.addNode(node);
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current.incomingProcessed();
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} else {
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inserted = null;
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}
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}
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}
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}
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if (node.getCut() == null) {
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final BSPTree<Euclidean2D> parent = node.getParent();
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if (parent == null || node == parent.getMinus()) {
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node.setAttribute(Boolean.TRUE);
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} else {
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node.setAttribute(Boolean.FALSE);
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}
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return;
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}
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// distribute the remaining vertices in the two sub-trees
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Side currentSide = Side.HYPER;
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final List<Vertex> plusList = new ArrayList<Vertex>();
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plusList.add(current);
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int plusCount = 0;
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final List<Vertex> minusList = new ArrayList<Vertex>();
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minusList.add(current);
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int minusCount = 0;
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while (index < vertices.size()) {
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final Vertex previous = current;
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final Side previousSide = currentSide;
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current = vertices.get(index++);
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final double currentOffset = inserted.getOffset(current.getLocation());
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currentSide = (FastMath.abs(currentOffset) <= hyperplaneThickness) ?
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Side.HYPER :
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((currentOffset < 0) ? Side.MINUS : Side.PLUS);
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switch (currentSide) {
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case PLUS:
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if (previousSide == Side.MINUS) {
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// we need to insert a split point on the hyperplane
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final Line line = new Line(previous.getLocation(), current.getLocation());
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final Vertex splitPoint = new Vertex(inserted.intersection(line));
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splitPoint.addNode(node);
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minusList.add(splitPoint);
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plusList.add(splitPoint);
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}
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plusList.add(current);
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if (current.incomingNeedsProcessing() || current.outgoingNeedsProcessing()) {
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++plusCount;
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}
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break;
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case MINUS:
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if (previousSide == Side.PLUS) {
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// we need to insert a split point on the hyperplane
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final Line line = new Line(previous.getLocation(), current.getLocation());
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final Vertex splitPoint = new Vertex(inserted.intersection(line));
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splitPoint.addNode(node);
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minusList.add(splitPoint);
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plusList.add(splitPoint);
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}
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minusList.add(current);
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if (current.incomingNeedsProcessing() || current.outgoingNeedsProcessing()) {
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++minusCount;
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}
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break;
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default:
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current.addNode(node);
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plusList.add(current);
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minusList.add(current);
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break;
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}
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}
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// recurse through lower levels
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if (plusCount > 0) {
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insertVertices(hyperplaneThickness, node.getPlus(), plusList);
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} else {
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node.getPlus().setAttribute(Boolean.FALSE);
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}
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if (minusCount > 0) {
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insertVertices(hyperplaneThickness, node.getMinus(), minusList);
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} else {
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node.getMinus().setAttribute(Boolean.TRUE);
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}
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}
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/** Internal class for holding vertices while they are processed to build a BSP tree. */
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private static class Vertex {
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/** Vertex location. */
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private final Vector2D location;
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/** Nodes associated with the hyperplane containing this vertex. */
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private final List<BSPTree<Euclidean2D>> nodes;
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/** Indicator for incoming edges that still need processing. */
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private boolean incomingNeedsProcessing;
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/** Indicator for outgoing edges that still need processing. */
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private boolean outgoingNeedsProcessing;
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/** Build a non-processed vertex not owned by any node yet.
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* @param location vertex location
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*/
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public Vertex(final Vector2D location) {
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this.location = location;
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this.nodes = new ArrayList<BSPTree<Euclidean2D>>();
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this.incomingNeedsProcessing = true;
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this.outgoingNeedsProcessing = true;
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}
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/** Get Vertex location.
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* @return vertex location
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*/
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public Vector2D getLocation() {
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return location;
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}
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/** Check if the instance and another vertex share a node.
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* <p>
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* When two vertices share a node, this means they are already handled
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* by the hyperplane of this node, so there is no need to create a cut
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* hyperplane for them.
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* </p>
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* @param vertex other vertex to check instance against
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* @return true if the instance and another vertex share a node
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*/
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public boolean shareNodeWith(final Vertex vertex) {
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for (final BSPTree<Euclidean2D> node1 : nodes) {
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for (final BSPTree<Euclidean2D> node2 : vertex.nodes) {
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if (node1 == node2) {
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return true;
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}
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}
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}
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return false;
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}
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/** Add a node whose hyperplane contains this vertex.
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* @param node node whose hyperplane contains this vertex
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*/
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public void addNode(final BSPTree<Euclidean2D> node) {
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nodes.add(node);
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}
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/** Check incoming edge processed indicator.
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* @return true if incoming edge needs processing
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*/
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public boolean incomingNeedsProcessing() {
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return incomingNeedsProcessing;
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}
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/** Check outgoing edge processed indicator.
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* @return true if outgoing edge needs processing
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*/
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public boolean outgoingNeedsProcessing() {
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return outgoingNeedsProcessing;
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}
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/** Mark the incoming edge as processed.
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*/
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public void incomingProcessed() {
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incomingNeedsProcessing = false;
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}
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/** Mark the outgoing edge as processed.
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*/
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public void outgoingProcessed() {
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outgoingNeedsProcessing = false;
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}
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}
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/** {@inheritDoc} */
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@Override
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public PolygonsSet buildNew(final BSPTree<Euclidean2D> tree) {
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@ -153,7 +153,7 @@ public class BSPTree<S extends Space> {
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}
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final SubHyperplane<S> chopped = fitToCell(hyperplane.wholeHyperplane());
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if (chopped.isEmpty()) {
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if (chopped == null || chopped.isEmpty()) {
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cut = null;
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plus = null;
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minus = null;
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@ -285,7 +285,7 @@ public class BSPTree<S extends Space> {
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* sub-hyperplane that lie outside of the cell using the
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* cut-hyperplanes of the parent nodes of the instance.</p>
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* @param sub sub-hyperplane to fit
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* @return a new sub-hyperplane, gueranteed to have no part outside
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* @return a new sub-hyperplane, guaranteed to have no part outside
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* of the instance cell
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*/
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private SubHyperplane<S> fitToCell(final SubHyperplane<S> sub) {
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@ -16,17 +16,16 @@
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*/
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package org.apache.commons.math3.geometry.euclidean.twod;
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import java.io.FileNotFoundException;
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import java.util.ArrayList;
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import java.util.List;
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import org.apache.commons.math3.geometry.euclidean.oned.Interval;
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import org.apache.commons.math3.geometry.euclidean.oned.IntervalsSet;
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import org.apache.commons.math3.geometry.euclidean.oned.Vector1D;
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import org.apache.commons.math3.geometry.euclidean.twod.Line;
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import org.apache.commons.math3.geometry.euclidean.twod.Vector2D;
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import org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet;
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import org.apache.commons.math3.geometry.partitioning.BSPTree;
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import org.apache.commons.math3.geometry.partitioning.Region;
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import org.apache.commons.math3.geometry.partitioning.Region.Location;
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import org.apache.commons.math3.geometry.partitioning.RegionFactory;
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import org.apache.commons.math3.geometry.partitioning.SubHyperplane;
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import org.apache.commons.math3.util.FastMath;
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@ -802,6 +801,183 @@ public class PolygonsSetTest {
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}
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@Test
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public void testIssue880Simplified() {
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Vector2D[] vertices1 = new Vector2D[] {
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new Vector2D( 90.13595870833188, 38.33604606376991),
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new Vector2D( 90.14047850603913, 38.34600084496253),
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new Vector2D( 90.11045289492762, 38.36801537312368),
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new Vector2D( 90.10871471476526, 38.36878044144294),
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new Vector2D( 90.10424901707671, 38.374300101757),
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new Vector2D( 90.0979455456843, 38.373578376172475),
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new Vector2D( 90.09081227075944, 38.37526295920463),
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new Vector2D( 90.09081378927135, 38.375193883266434)
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};
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PolygonsSet set1 = new PolygonsSet(1.0e-10, vertices1);
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Assert.assertEquals(Location.OUTSIDE, set1.checkPoint(new Vector2D(90.12, 38.32)));
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Assert.assertEquals(Location.OUTSIDE, set1.checkPoint(new Vector2D(90.135, 38.355)));
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}
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@Test
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public void testIssue880Complete() throws FileNotFoundException {
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Vector2D[] vertices1 = new Vector2D[] {
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new Vector2D( 90.08714908223715, 38.370299337260235),
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new Vector2D( 90.08709517675004, 38.3702895991413),
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new Vector2D( 90.08401538704919, 38.368849330127944),
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new Vector2D( 90.08258210430711, 38.367634558585564),
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new Vector2D( 90.08251455106665, 38.36763409247078),
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new Vector2D( 90.08106599752608, 38.36761621664249),
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new Vector2D( 90.08249585300035, 38.36753627557965),
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new Vector2D( 90.09075743352184, 38.35914647644972),
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new Vector2D( 90.09099945896571, 38.35896264724079),
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new Vector2D( 90.09269383800086, 38.34595756121246),
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new Vector2D( 90.09638631543191, 38.3457988093121),
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new Vector2D( 90.09666417351019, 38.34523360999418),
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new Vector2D( 90.1297082145872, 38.337670454923625),
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new Vector2D( 90.12971687748956, 38.337669827794684),
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new Vector2D( 90.1240820219179, 38.34328502001131),
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new Vector2D( 90.13084259656404, 38.34017811765017),
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new Vector2D( 90.13378567942857, 38.33860579180606),
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new Vector2D( 90.13519557833206, 38.33621054663689),
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new Vector2D( 90.13545616732307, 38.33614965452864),
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new Vector2D( 90.13553111202748, 38.33613962818305),
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new Vector2D( 90.1356903436448, 38.33610227127048),
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new Vector2D( 90.13576283227428, 38.33609255422783),
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new Vector2D( 90.13595870833188, 38.33604606376991),
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new Vector2D( 90.1361556630693, 38.3360024198866),
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new Vector2D( 90.13622408795709, 38.335987048115726),
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new Vector2D( 90.13696189099994, 38.33581914328681),
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new Vector2D( 90.13746655304897, 38.33616706665265),
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new Vector2D( 90.13845973716064, 38.33650776167099),
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new Vector2D( 90.13950901827667, 38.3368469456463),
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new Vector2D( 90.14393814424852, 38.337591835857495),
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new Vector2D( 90.14483839716831, 38.337076122362475),
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new Vector2D( 90.14565474433601, 38.33769000964429),
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new Vector2D( 90.14569421179482, 38.3377117256905),
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new Vector2D( 90.14577067124333, 38.33770883625908),
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new Vector2D( 90.14600350631684, 38.337714326520995),
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new Vector2D( 90.14600355139731, 38.33771435193319),
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new Vector2D( 90.14600369112401, 38.33771443882085),
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new Vector2D( 90.14600382486884, 38.33771453466096),
|
||||
new Vector2D( 90.14600395205912, 38.33771463904344),
|
||||
new Vector2D( 90.14600407214999, 38.337714751520764),
|
||||
new Vector2D( 90.14600418462749, 38.337714871611695),
|
||||
new Vector2D( 90.14600422249327, 38.337714915811034),
|
||||
new Vector2D( 90.14867838361471, 38.34113888210675),
|
||||
new Vector2D( 90.14923750157374, 38.341582537502575),
|
||||
new Vector2D( 90.14877083250991, 38.34160685841391),
|
||||
new Vector2D( 90.14816667319519, 38.34244232585684),
|
||||
new Vector2D( 90.14797696744586, 38.34248455284745),
|
||||
new Vector2D( 90.14484318014337, 38.34385573215269),
|
||||
new Vector2D( 90.14477919958296, 38.3453797747614),
|
||||
new Vector2D( 90.14202393306448, 38.34464324839456),
|
||||
new Vector2D( 90.14198920640195, 38.344651155237216),
|
||||
new Vector2D( 90.14155207025175, 38.34486424263724),
|
||||
new Vector2D( 90.1415196143314, 38.344871730519),
|
||||
new Vector2D( 90.14128611910814, 38.34500196593859),
|
||||
new Vector2D( 90.14047850603913, 38.34600084496253),
|
||||
new Vector2D( 90.14045907000337, 38.34601860032171),
|
||||
new Vector2D( 90.14039496493928, 38.346223030432384),
|
||||
new Vector2D( 90.14037626063737, 38.346240203360026),
|
||||
new Vector2D( 90.14030005823724, 38.34646920000705),
|
||||
new Vector2D( 90.13799164754806, 38.34903093011013),
|
||||
new Vector2D( 90.11045289492762, 38.36801537312368),
|
||||
new Vector2D( 90.10871471476526, 38.36878044144294),
|
||||
new Vector2D( 90.10424901707671, 38.374300101757),
|
||||
new Vector2D( 90.10263482039932, 38.37310041316073),
|
||||
new Vector2D( 90.09834601753448, 38.373615053823414),
|
||||
new Vector2D( 90.0979455456843, 38.373578376172475),
|
||||
new Vector2D( 90.09086514328669, 38.37527884194668),
|
||||
new Vector2D( 90.09084931407364, 38.37590801712463),
|
||||
new Vector2D( 90.09081227075944, 38.37526295920463),
|
||||
new Vector2D( 90.09081378927135, 38.375193883266434)
|
||||
};
|
||||
PolygonsSet set1 = new PolygonsSet(1.0e-10, vertices1);
|
||||
Assert.assertEquals(Location.OUTSIDE, set1.checkPoint(new Vector2D(90.0905, 38.3755)));
|
||||
Assert.assertEquals(Location.INSIDE, set1.checkPoint(new Vector2D(90.09084, 38.3755)));
|
||||
// TODO: the following assertion fails and should not
|
||||
// this is due to a small spurious triangle being included in the polygon
|
||||
// Assert.assertEquals(Location.OUTSIDE, set1.checkPoint(new Vector2D(90.0913, 38.3755)));
|
||||
|
||||
Vector2D[] vertices2 = new Vector2D[] {
|
||||
new Vector2D( 90.13067558880044, 38.36977255037573),
|
||||
new Vector2D( 90.12907570488, 38.36817308242706),
|
||||
new Vector2D( 90.1342774136516, 38.356886880294724),
|
||||
new Vector2D( 90.13090330629757, 38.34664392676211),
|
||||
new Vector2D( 90.13078571364593, 38.344904617518466),
|
||||
new Vector2D( 90.1315602208914, 38.3447185040846),
|
||||
new Vector2D( 90.1316336226821, 38.34470643148342),
|
||||
new Vector2D( 90.134020944832, 38.340936644972885),
|
||||
new Vector2D( 90.13912536387306, 38.335497255122334),
|
||||
new Vector2D( 90.1396178806582, 38.334878075552126),
|
||||
new Vector2D( 90.14083049696671, 38.33316530644106),
|
||||
new Vector2D( 90.14145252901329, 38.33152722916191),
|
||||
new Vector2D( 90.1404779335565, 38.32863516047786),
|
||||
new Vector2D( 90.14282712131586, 38.327504432532066),
|
||||
new Vector2D( 90.14616669875488, 38.3237354115015),
|
||||
new Vector2D( 90.14860976050608, 38.315714862457924),
|
||||
new Vector2D( 90.14999277782437, 38.3164932507504),
|
||||
new Vector2D( 90.15005207194997, 38.316534677663356),
|
||||
new Vector2D( 90.15508513859612, 38.31878731691609),
|
||||
new Vector2D( 90.15919938519221, 38.31852743183782),
|
||||
new Vector2D( 90.16093758658837, 38.31880662005153),
|
||||
new Vector2D( 90.16099420184912, 38.318825953291594),
|
||||
new Vector2D( 90.1665411125756, 38.31859497874757),
|
||||
new Vector2D( 90.16999653861313, 38.32505772048029),
|
||||
new Vector2D( 90.17475243391698, 38.32594398441148),
|
||||
new Vector2D( 90.17940844844992, 38.327427213761325),
|
||||
new Vector2D( 90.20951909541378, 38.330616833491774),
|
||||
new Vector2D( 90.2155400467941, 38.331746223670336),
|
||||
new Vector2D( 90.21559881391778, 38.33175551425302),
|
||||
new Vector2D( 90.21916646426041, 38.332584299620805),
|
||||
new Vector2D( 90.23863749852285, 38.34778978875795),
|
||||
new Vector2D( 90.25459855175802, 38.357790570608984),
|
||||
new Vector2D( 90.25964298227257, 38.356918010203174),
|
||||
new Vector2D( 90.26024593994703, 38.361692743151366),
|
||||
new Vector2D( 90.26146187570015, 38.36311080550837),
|
||||
new Vector2D( 90.26614159359622, 38.36510808579902),
|
||||
new Vector2D( 90.26621342936448, 38.36507942500333),
|
||||
new Vector2D( 90.26652190211962, 38.36494042196722),
|
||||
new Vector2D( 90.26621240678867, 38.365113172030874),
|
||||
new Vector2D( 90.26614057102057, 38.365141832826794),
|
||||
new Vector2D( 90.26380080055299, 38.3660381760273),
|
||||
new Vector2D( 90.26315345241, 38.36670658276421),
|
||||
new Vector2D( 90.26251574942881, 38.367490323488084),
|
||||
new Vector2D( 90.26247873448426, 38.36755266444749),
|
||||
new Vector2D( 90.26234628016698, 38.36787989125406),
|
||||
new Vector2D( 90.26214559424784, 38.36945909356126),
|
||||
new Vector2D( 90.25861728442555, 38.37200753430875),
|
||||
new Vector2D( 90.23905557537864, 38.375405314295904),
|
||||
new Vector2D( 90.22517251874075, 38.38984691662256),
|
||||
new Vector2D( 90.22549955153215, 38.3911564273979),
|
||||
new Vector2D( 90.22434386063355, 38.391476432092134),
|
||||
new Vector2D( 90.22147729457276, 38.39134652252034),
|
||||
new Vector2D( 90.22142070120117, 38.391349167741964),
|
||||
new Vector2D( 90.20665060751588, 38.39475580900313),
|
||||
new Vector2D( 90.20042268367109, 38.39842558622888),
|
||||
new Vector2D( 90.17423771242085, 38.402727751805344),
|
||||
new Vector2D( 90.16756796257476, 38.40913898597597),
|
||||
new Vector2D( 90.16728283954308, 38.411255399912875),
|
||||
new Vector2D( 90.16703538220418, 38.41136059866693),
|
||||
new Vector2D( 90.16725865657685, 38.41013618805954),
|
||||
new Vector2D( 90.16746107640665, 38.40902614307544),
|
||||
new Vector2D( 90.16122795307462, 38.39773101873203)
|
||||
};
|
||||
PolygonsSet set2 = new PolygonsSet(1.0e-10, vertices2);
|
||||
PolygonsSet set = (PolygonsSet) new
|
||||
RegionFactory<Euclidean2D>().difference(set1.copySelf(),
|
||||
set2.copySelf());
|
||||
|
||||
Vector2D[][] vertices = set.getVertices();
|
||||
Assert.assertTrue(vertices[0][0] != null);
|
||||
// TODO: the resulting polygon has two boundaries but should have only one
|
||||
// this is because for an unknown reason the boundary has two infinitely close
|
||||
// parallel paths near the top left of the polygon
|
||||
Assert.assertEquals(2, vertices.length);
|
||||
}
|
||||
|
||||
private PolygonsSet buildSet(Vector2D[][] vertices) {
|
||||
ArrayList<SubHyperplane<Euclidean2D>> edges = new ArrayList<SubHyperplane<Euclidean2D>>();
|
||||
for (int i = 0; i < vertices.length; ++i) {
|
||||
|
|
Loading…
Reference in New Issue