Merge commit 'refs/pull/73/head' of https://github.com/apache/commons-math into fix-MATH-1436
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5ec8070228
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@ -644,7 +644,11 @@ public class PolygonsSet extends AbstractRegion<Euclidean2D, Euclidean1D> {
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for (ConnectableSegment s = getUnprocessed(segments); s != null; s = getUnprocessed(segments)) {
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final List<Segment> loop = followLoop(s);
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if (loop != null) {
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if (loop.get(0).getStart() == null) {
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// an open loop is one that has fewer than two segments or has a null
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// start point; the case where we have two segments in a closed loop
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// (ie, an infinitely thin, degenerate loop) will result in null being
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// returned from the followLoops method
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if (loop.size() < 2 || loop.get(0).getStart() == null) {
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// this is an open loop, we put it on the front
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loops.add(0, loop);
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} else {
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@ -863,18 +867,22 @@ public class PolygonsSet extends AbstractRegion<Euclidean2D, Euclidean1D> {
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* @param loop segments loop to filter (will be modified in-place)
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*/
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private void filterSpuriousVertices(final List<Segment> loop) {
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for (int i = 0; i < loop.size(); ++i) {
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final Segment previous = loop.get(i);
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int j = (i + 1) % loop.size();
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final Segment next = loop.get(j);
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if (next != null &&
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Precision.equals(previous.getLine().getAngle(), next.getLine().getAngle(), Precision.EPSILON)) {
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// the vertex between the two edges is a spurious one
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// replace the two segments by a single one
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loop.set(j, new Segment(previous.getStart(), next.getEnd(), previous.getLine()));
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loop.remove(i--);
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}
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}
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// we need at least 2 segments in order for one of the contained vertices
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// to be unnecessary
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if (loop.size() > 1) {
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for (int i = 0; i < loop.size(); ++i) {
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final Segment previous = loop.get(i);
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int j = (i + 1) % loop.size();
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final Segment next = loop.get(j);
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if (next != null &&
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Precision.equals(previous.getLine().getAngle(), next.getLine().getAngle(), Precision.EPSILON)) {
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// the vertex between the two edges is a spurious one
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// replace the two segments by a single one
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loop.set(j, new Segment(previous.getStart(), next.getEnd(), previous.getLine()));
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loop.remove(i--);
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}
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}
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}
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}
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/** Private extension of Segment allowing connection. */
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@ -1067,23 +1075,26 @@ public class PolygonsSet extends AbstractRegion<Euclidean2D, Euclidean1D> {
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/** Select the node whose cut sub-hyperplane is closest to specified point.
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* @param point reference point
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* @param candidates candidate nodes
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* @return node closest to point, or null if no node is closer than tolerance
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* @return node closest to point, or null if point is null or no node is closer than tolerance
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*/
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private BSPTree<Euclidean2D> selectClosest(final Cartesian2D point, final Iterable<BSPTree<Euclidean2D>> candidates) {
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BSPTree<Euclidean2D> selected = null;
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double min = Double.POSITIVE_INFINITY;
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for (final BSPTree<Euclidean2D> node : candidates) {
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final double distance = FastMath.abs(node.getCut().getHyperplane().getOffset(point));
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if (distance < min) {
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selected = node;
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min = distance;
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}
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}
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return min <= tolerance ? selected : null;
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if (point != null) {
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BSPTree<Euclidean2D> selected = null;
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double min = Double.POSITIVE_INFINITY;
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for (final BSPTree<Euclidean2D> node : candidates) {
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final double distance = FastMath.abs(node.getCut().getHyperplane().getOffset(point));
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if (distance < min) {
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selected = node;
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min = distance;
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}
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}
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if (min <= tolerance) {
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return selected;
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}
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}
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return null;
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}
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/** Get the segments.
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@ -95,6 +95,61 @@ public class PolygonsSetTest {
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PolygonsSet box = new PolygonsSet(new BSPTree<Euclidean2D>(Boolean.TRUE), 1.0e-10);
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Assert.assertTrue(Double.isInfinite(box.getSize()));
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}
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@Test
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public void testSingleInfiniteLine() {
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// arrange
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double tolerance = 1e-10;
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Line line = new Line(new Cartesian2D(0, 0), new Cartesian2D(1, 1), tolerance);
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List<SubHyperplane<Euclidean2D>> boundaries = new ArrayList<SubHyperplane<Euclidean2D>>();
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boundaries.add(line.wholeHyperplane());
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// act
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PolygonsSet polygon = new PolygonsSet(boundaries, tolerance);
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// assert
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Assert.assertTrue(Double.isInfinite(polygon.getSize()));
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Cartesian2D[][] vertices = polygon.getVertices();
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Assert.assertEquals(1, vertices.length);
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Cartesian2D[] loop = vertices[0];
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Assert.assertEquals(3, loop.length);
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Assert.assertEquals(null, loop[0]);
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checkPointsEqual(line.toSpace(new Cartesian1D(-Float.MAX_VALUE)), loop[1], tolerance);
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checkPointsEqual(line.toSpace(new Cartesian1D(Float.MAX_VALUE)), loop[2], tolerance);
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}
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@Test
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public void testMixOfFiniteAndInfiniteBoundaries() {
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// arrange
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double tolerance = 1e-10;
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Line line = new Line(new Cartesian2D(1, 0), new Cartesian2D(1, 1), tolerance);
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List<SubHyperplane<Euclidean2D>> boundaries = new ArrayList<SubHyperplane<Euclidean2D>>();
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boundaries.add(buildSegment(new Cartesian2D(0, 1), new Cartesian2D(0, 0)));
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boundaries.add(buildSegment(new Cartesian2D(0, 0), new Cartesian2D(1, 0)));
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boundaries.add(new SubLine(line, new IntervalsSet(0, Double.POSITIVE_INFINITY, tolerance)));
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// act
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PolygonsSet polygon = new PolygonsSet(boundaries, tolerance);
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// assert
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Assert.assertTrue(Double.isInfinite(polygon.getSize()));
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Cartesian2D[][] vertices = polygon.getVertices();
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Assert.assertEquals(1, vertices.length);
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Cartesian2D[] loop = vertices[0];
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Assert.assertEquals(5, loop.length);
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Assert.assertEquals(null, loop[0]);
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checkPointsEqual(new Cartesian2D(0, 1), loop[1], tolerance);
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checkPointsEqual(new Cartesian2D(0, 0), loop[2], tolerance);
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checkPointsEqual(new Cartesian2D(1, 0), loop[3], tolerance);
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checkPointsEqual(new Cartesian2D(1, 0), loop[4], tolerance);
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}
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@Test
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public void testStair() {
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@ -1272,6 +1327,11 @@ public class PolygonsSetTest {
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double upper = (line.toSubSpace(end)).getX();
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return new SubLine(line, new IntervalsSet(lower, upper, 1.0e-10));
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}
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private void checkPointsEqual(Cartesian2D expected, Cartesian2D actual, double tolerance) {
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Assert.assertEquals(expected.getX(), actual.getX(), tolerance);
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Assert.assertEquals(expected.getY(), actual.getY(), tolerance);
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}
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private void checkPoints(Region.Location expected, PolygonsSet set,
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Cartesian2D[] points) {
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