@Test
public void testInterval() {
IntervalsSet set = new IntervalsSet(2.3, 5.7);
Assert.assertEquals(3.4, set.getSize(), 1.0e-10);
Assert.assertEquals(4.0, ((Vector1D) set.getBarycenter()).getX(), 1.0e-10);
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(2.3)));
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(5.7)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(1.2)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(8.7)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Vector1D(3.0)));
Assert.assertEquals(2.3, set.getInf(), 1.0e-10);
Assert.assertEquals(5.7, set.getSup(), 1.0e-10);
}
@Test
public void testInfinite() {
IntervalsSet set = new IntervalsSet(9.0, Double.POSITIVE_INFINITY);
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(9.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(8.4)));
for (double e = 1.0; e <= 6.0; e += 1.0) {
Assert.assertEquals(
Region.Location.INSIDE, set.checkPoint(new Vector1D(FastMath.pow(10.0, e))));
}
Assert.assertTrue(Double.isInfinite(set.getSize()));
Assert.assertEquals(9.0, set.getInf(), 1.0e-10);
Assert.assertTrue(Double.isInfinite(set.getSup()));
set = (IntervalsSet) new RegionFactory<Euclidean1D>().getComplement(set);
Assert.assertEquals(9.0, set.getSup(), 1.0e-10);
Assert.assertTrue(Double.isInfinite(set.getInf()));
}
@Test
public void testSinglePoint() {
IntervalsSet set = new IntervalsSet(1.0, 1.0);
Assert.assertEquals(0.0, set.getSize(), Precision.SAFE_MIN);
Assert.assertEquals(1.0, ((Vector1D) set.getBarycenter()).getX(), Precision.EPSILON);
}
@Test
public void testMultiple() {
RegionFactory<Euclidean1D> factory = new RegionFactory<Euclidean1D>();
IntervalsSet set =
(IntervalsSet)
factory.intersection(
factory.union(
factory.difference(new IntervalsSet(1.0, 6.0), new IntervalsSet(3.0, 5.0)),
new IntervalsSet(9.0, Double.POSITIVE_INFINITY)),
new IntervalsSet(Double.NEGATIVE_INFINITY, 11.0));
Assert.assertEquals(5.0, set.getSize(), 1.0e-10);
Assert.assertEquals(5.9, ((Vector1D) set.getBarycenter()).getX(), 1.0e-10);
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(0.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(4.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(8.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector1D(12.0)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Vector1D(1.2)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Vector1D(5.9)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Vector1D(9.01)));
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(5.0)));
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(11.0)));
Assert.assertEquals(1.0, set.getInf(), 1.0e-10);
Assert.assertEquals(11.0, set.getSup(), 1.0e-10);
List<Interval> list = set.asList();
Assert.assertEquals(3, list.size());
Assert.assertEquals(1.0, list.get(0).getLower(), 1.0e-10);
Assert.assertEquals(3.0, list.get(0).getUpper(), 1.0e-10);
Assert.assertEquals(5.0, list.get(1).getLower(), 1.0e-10);
Assert.assertEquals(6.0, list.get(1).getUpper(), 1.0e-10);
Assert.assertEquals(9.0, list.get(2).getLower(), 1.0e-10);
Assert.assertEquals(11.0, list.get(2).getUpper(), 1.0e-10);
}