/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math4.geometry.euclidean.oned;
import java.util.List;
import org.apache.commons.math4.geometry.partitioning.Region;
import org.apache.commons.math4.geometry.partitioning.RegionFactory;
import org.apache.commons.math4.util.FastMath;
import org.apache.commons.numbers.core.Precision;
import org.junit.Assert;
import org.junit.Test;
public class IntervalsSetTest {
@Test
public void testInterval() {
IntervalsSet set = new IntervalsSet(2.3, 5.7, 1.0e-10);
Assert.assertEquals(3.4, set.getSize(), 1.0e-10);
Assert.assertEquals(4.0, ((Cartesian1D) set.getBarycenter()).getX(), 1.0e-10);
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Cartesian1D(2.3)));
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Cartesian1D(5.7)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(1.2)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(8.7)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Cartesian1D(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, 1.0e-10);
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Cartesian1D(9.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(8.4)));
for (double e = 1.0; e <= 6.0; e += 1.0) {
Assert.assertEquals(Region.Location.INSIDE,
set.checkPoint(new Cartesian1D(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 testMultiple() {
RegionFactory<Euclidean1D> factory = new RegionFactory<>();
IntervalsSet set = (IntervalsSet)
factory.intersection(factory.union(factory.difference(new IntervalsSet(1.0, 6.0, 1.0e-10),
new IntervalsSet(3.0, 5.0, 1.0e-10)),
new IntervalsSet(9.0, Double.POSITIVE_INFINITY, 1.0e-10)),
new IntervalsSet(Double.NEGATIVE_INFINITY, 11.0, 1.0e-10));
Assert.assertEquals(5.0, set.getSize(), 1.0e-10);
Assert.assertEquals(5.9, ((Cartesian1D) set.getBarycenter()).getX(), 1.0e-10);
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(0.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(4.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(8.0)));
Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Cartesian1D(12.0)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Cartesian1D(1.2)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Cartesian1D(5.9)));
Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Cartesian1D(9.01)));
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Cartesian1D(5.0)));
Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Cartesian1D(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).getInf(), 1.0e-10);
Assert.assertEquals( 3.0, list.get(0).getSup(), 1.0e-10);
Assert.assertEquals( 5.0, list.get(1).getInf(), 1.0e-10);
Assert.assertEquals( 6.0, list.get(1).getSup(), 1.0e-10);
Assert.assertEquals( 9.0, list.get(2).getInf(), 1.0e-10);
Assert.assertEquals(11.0, list.get(2).getSup(), 1.0e-10);
}
@Test
public void testSinglePoint() {
IntervalsSet set = new IntervalsSet(1.0, 1.0, 1.0e-10);
Assert.assertEquals(0.0, set.getSize(), Precision.SAFE_MIN);
Assert.assertEquals(1.0, ((Cartesian1D) set.getBarycenter()).getX(), Precision.EPSILON);
}
}