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* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
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* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
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package org.apache.commons.math4.geometry.spherical.twod;
import org.apache.commons.math4.geometry.euclidean.threed.Rotation;
import org.apache.commons.math4.geometry.euclidean.threed.Cartesian3D;
import org.apache.commons.math4.geometry.partitioning.RegionFactory;
import org.apache.commons.math4.geometry.partitioning.Side;
import org.apache.commons.math4.geometry.partitioning.SubHyperplane.SplitSubHyperplane;
import org.apache.commons.math4.geometry.spherical.oned.ArcsSet;
import org.apache.commons.math4.geometry.spherical.oned.Sphere1D;
import org.apache.commons.math4.geometry.spherical.twod.Circle;
import org.apache.commons.math4.geometry.spherical.twod.Sphere2D;
import org.apache.commons.math4.geometry.spherical.twod.SubCircle;
import org.apache.commons.math4.util.MathUtils;
import org.junit.Assert;
import org.junit.Test;
public class SubCircleTest {
@Test
public void testFullCircle() {
Circle circle = new Circle(Cartesian3D.PLUS_K, 1.0e-10);
SubCircle set = circle.wholeHyperplane();
Assert.assertEquals(MathUtils.TWO_PI, set.getSize(), 1.0e-10);
Assert.assertTrue(circle == set.getHyperplane());
Assert.assertTrue(circle != set.copySelf().getHyperplane());
}
@Test
public void testSide() {
Circle xzPlane = new Circle(Cartesian3D.PLUS_J, 1.0e-10);
SubCircle sc1 = create(Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, Cartesian3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
Assert.assertEquals(Side.BOTH, sc1.split(xzPlane).getSide());
SubCircle sc2 = create(Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, Cartesian3D.PLUS_J, 1.0e-10, 1.0, 3.0);
Assert.assertEquals(Side.MINUS, sc2.split(xzPlane).getSide());
SubCircle sc3 = create(Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, Cartesian3D.PLUS_J, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.PLUS, sc3.split(xzPlane).getSide());
SubCircle sc4 = create(Cartesian3D.PLUS_J, Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.HYPER, sc4.split(xzPlane).getSide());
SubCircle sc5 = create(Cartesian3D.MINUS_J, Cartesian3D.PLUS_I, Cartesian3D.PLUS_K, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.HYPER, sc5.split(xzPlane).getSide());
}
@Test
public void testSPlit() {
Circle xzPlane = new Circle(Cartesian3D.PLUS_J, 1.0e-10);
SubCircle sc1 = create(Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, Cartesian3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split1 = sc1.split(xzPlane);
ArcsSet plus1 = (ArcsSet) ((SubCircle) split1.getPlus()).getRemainingRegion();
ArcsSet minus1 = (ArcsSet) ((SubCircle) split1.getMinus()).getRemainingRegion();
Assert.assertEquals(1, plus1.asList().size());
Assert.assertEquals(5.0, plus1.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(6.0, plus1.asList().get(0).getSup(), 1.0e-10);
Assert.assertEquals(1, minus1.asList().size());
Assert.assertEquals(1.0, minus1.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(3.0, minus1.asList().get(0).getSup(), 1.0e-10);
SubCircle sc2 = create(Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, Cartesian3D.PLUS_J, 1.0e-10, 1.0, 3.0);
SplitSubHyperplane<Sphere2D> split2 = sc2.split(xzPlane);
Assert.assertNull(split2.getPlus());
ArcsSet minus2 = (ArcsSet) ((SubCircle) split2.getMinus()).getRemainingRegion();
Assert.assertEquals(1, minus2.asList().size());
Assert.assertEquals(1.0, minus2.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(3.0, minus2.asList().get(0).getSup(), 1.0e-10);
SubCircle sc3 = create(Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, Cartesian3D.PLUS_J, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split3 = sc3.split(xzPlane);
ArcsSet plus3 = (ArcsSet) ((SubCircle) split3.getPlus()).getRemainingRegion();
Assert.assertEquals(1, plus3.asList().size());
Assert.assertEquals(5.0, plus3.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(6.0, plus3.asList().get(0).getSup(), 1.0e-10);
Assert.assertNull(split3.getMinus());
SubCircle sc4 = create(Cartesian3D.PLUS_J, Cartesian3D.PLUS_K, Cartesian3D.PLUS_I, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split4 = sc4.split(xzPlane);
Assert.assertEquals(Side.HYPER, sc4.split(xzPlane).getSide());
Assert.assertNull(split4.getPlus());
Assert.assertNull(split4.getMinus());
SubCircle sc5 = create(Cartesian3D.MINUS_J, Cartesian3D.PLUS_I, Cartesian3D.PLUS_K, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split5 = sc5.split(xzPlane);
Assert.assertEquals(Side.HYPER, sc5.split(xzPlane).getSide());
Assert.assertNull(split5.getPlus());
Assert.assertNull(split5.getMinus());
}
@Test
public void testSideSplitConsistency() {
double tolerance = 1.0e-6;
Circle hyperplane = new Circle(new Cartesian3D(9.738804529764676E-5, -0.6772824575010357, -0.7357230887208355),
tolerance);
SubCircle sub = new SubCircle(new Circle(new Cartesian3D(2.1793884139073498E-4, 0.9790647032675541, -0.20354915700704285),
tolerance),
new ArcsSet(4.7121441684170700, 4.7125386635004760, tolerance));
SplitSubHyperplane<Sphere2D> split = sub.split(hyperplane);
Assert.assertNotNull(split.getMinus());
Assert.assertNull(split.getPlus());
Assert.assertEquals(Side.MINUS, sub.split(hyperplane).getSide());
}
private SubCircle create(Cartesian3D pole, Cartesian3D x, Cartesian3D y,
double tolerance, double ... limits) {
RegionFactory<Sphere1D> factory = new RegionFactory<>();
Circle circle = new Circle(pole, tolerance);
Circle phased =
(Circle) Circle.getTransform(new Rotation(circle.getXAxis(), circle.getYAxis(), x, y)).apply(circle);
ArcsSet set = (ArcsSet) factory.getComplement(new ArcsSet(tolerance));
for (int i = 0; i < limits.length; i += 2) {
set = (ArcsSet) factory.union(set, new ArcsSet(limits[i], limits[i + 1], tolerance));
}
return new SubCircle(phased, set);
}
}