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Posted to commits@commons.apache.org by lu...@apache.org on 2014/01/02 21:40:43 UTC
svn commit: r1554907 - in
/commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod:
./ CircleTest.java
Author: luc
Date: Thu Jan 2 20:40:42 2014
New Revision: 1554907
URL: http://svn.apache.org/r1554907
Log:
Test for 2-sphere hyperplane, i.e. Circle.
Added:
commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/
commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java (with props)
Added: commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java
URL: http://svn.apache.org/viewvc/commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java?rev=1554907&view=auto
==============================================================================
--- commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java (added)
+++ commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java Thu Jan 2 20:40:42 2014
@@ -0,0 +1,185 @@
+/*
+ * 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.math3.geometry.spherical.twod;
+
+import org.apache.commons.math3.geometry.euclidean.threed.Rotation;
+import org.apache.commons.math3.geometry.euclidean.threed.Vector3D;
+import org.apache.commons.math3.geometry.partitioning.Transform;
+import org.apache.commons.math3.geometry.spherical.oned.Arc;
+import org.apache.commons.math3.geometry.spherical.oned.LimitAngle;
+import org.apache.commons.math3.geometry.spherical.oned.S1Point;
+import org.apache.commons.math3.geometry.spherical.oned.Sphere1D;
+import org.apache.commons.math3.geometry.spherical.oned.SubLimitAngle;
+import org.apache.commons.math3.random.RandomGenerator;
+import org.apache.commons.math3.random.UnitSphereRandomVectorGenerator;
+import org.apache.commons.math3.random.Well1024a;
+import org.apache.commons.math3.util.FastMath;
+import org.apache.commons.math3.util.MathUtils;
+import org.junit.Assert;
+import org.junit.Test;
+
+public class CircleTest {
+
+ @Test
+ public void testEquator() {
+ Circle circle = new Circle(new Vector3D(0, 0, 1000), 1.0e-10).copySelf();
+ Assert.assertEquals(Vector3D.PLUS_K, circle.getPole());
+ Assert.assertEquals(1.0e-10, circle.getTolerance(), 1.0e-20);
+ circle.revertSelf();
+ Assert.assertEquals(Vector3D.MINUS_K, circle.getPole());
+ Assert.assertEquals(Vector3D.PLUS_K, circle.getReverse().getPole());
+ Assert.assertEquals(Vector3D.MINUS_K, circle.getPole());
+ }
+
+ @Test
+ public void testXY() {
+ Circle circle = new Circle(new S2Point(1.2, 2.5), new S2Point(-4.3, 0), 1.0e-10);
+ Assert.assertEquals(0.0, circle.getPointAt(0).distance(circle.getXAxis()), 1.0e-10);
+ Assert.assertEquals(0.0, circle.getPointAt(0.5 * FastMath.PI).distance(circle.getYAxis()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(circle.getXAxis(), circle.getYAxis()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(circle.getXAxis(), circle.getPole()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(circle.getPole(), circle.getYAxis()), 1.0e-10);
+ Assert.assertEquals(0.0,
+ circle.getPole().distance(Vector3D.crossProduct(circle.getXAxis(), circle.getYAxis())),
+ 1.0e-10);
+ }
+
+ @Test
+ public void testReverse() {
+ Circle circle = new Circle(new S2Point(1.2, 2.5), new S2Point(-4.3, 0), 1.0e-10);
+ Circle reversed = circle.getReverse();
+ Assert.assertEquals(0.0, reversed.getPointAt(0).distance(reversed.getXAxis()), 1.0e-10);
+ Assert.assertEquals(0.0, reversed.getPointAt(0.5 * FastMath.PI).distance(reversed.getYAxis()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(reversed.getXAxis(), reversed.getYAxis()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(reversed.getXAxis(), reversed.getPole()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(reversed.getPole(), reversed.getYAxis()), 1.0e-10);
+ Assert.assertEquals(0.0,
+ reversed.getPole().distance(Vector3D.crossProduct(reversed.getXAxis(), reversed.getYAxis())),
+ 1.0e-10);
+
+ Assert.assertEquals(0, Vector3D.angle(circle.getXAxis(), reversed.getXAxis()), 1.0e-10);
+ Assert.assertEquals(FastMath.PI, Vector3D.angle(circle.getYAxis(), reversed.getYAxis()), 1.0e-10);
+ Assert.assertEquals(FastMath.PI, Vector3D.angle(circle.getPole(), reversed.getPole()), 1.0e-10);
+
+ Assert.assertTrue(circle.sameOrientationAs(circle));
+ Assert.assertFalse(circle.sameOrientationAs(reversed));
+
+ }
+
+ @Test
+ public void testPhase() {
+ Circle circle = new Circle(new S2Point(1.2, 2.5), new S2Point(-4.3, 0), 1.0e-10);
+ Vector3D p = new Vector3D(1, 2, -4);
+ Vector3D samePhase = circle.getPointAt(circle.getPhase(p));
+ Assert.assertEquals(0.0,
+ Vector3D.angle(Vector3D.crossProduct(circle.getPole(), p),
+ Vector3D.crossProduct(circle.getPole(), samePhase)),
+ 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(circle.getPole(), samePhase), 1.0e-10);
+ Assert.assertEquals(circle.getPhase(p), circle.getPhase(samePhase), 1.0e-10);
+ Assert.assertEquals(0.0, circle.getPhase(circle.getXAxis()), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, circle.getPhase(circle.getYAxis()), 1.0e-10);
+
+ }
+
+ @Test
+ public void testSubSpace() {
+ Circle circle = new Circle(new S2Point(1.2, 2.5), new S2Point(-4.3, 0), 1.0e-10);
+ Assert.assertEquals(0.0, circle.toSubSpace(new S2Point(circle.getXAxis())).getAlpha(), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, circle.toSubSpace(new S2Point(circle.getYAxis())).getAlpha(), 1.0e-10);
+ Vector3D p = new Vector3D(1, 2, -4);
+ Assert.assertEquals(circle.getPhase(p), circle.toSubSpace(new S2Point(p)).getAlpha(), 1.0e-10);
+ }
+
+ @Test
+ public void testSpace() {
+ Circle circle = new Circle(new S2Point(1.2, 2.5), new S2Point(-4.3, 0), 1.0e-10);
+ for (double alpha = 0; alpha < MathUtils.TWO_PI; alpha += 0.1) {
+ Vector3D p = new Vector3D(FastMath.cos(alpha), circle.getXAxis(),
+ FastMath.sin(alpha), circle.getYAxis());
+ Vector3D q = circle.toSpace(new S1Point(alpha)).getVector();
+ Assert.assertEquals(0.0, p.distance(q), 1.0e-10);
+ Assert.assertEquals(0.5 * FastMath.PI, Vector3D.angle(circle.getPole(), q), 1.0e-10);
+ }
+ }
+
+ @Test
+ public void testOffset() {
+ Circle circle = new Circle(Vector3D.PLUS_K, 1.0e-10);
+ Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.PLUS_I)), 1.0e-10);
+ Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.MINUS_I)), 1.0e-10);
+ Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.PLUS_J)), 1.0e-10);
+ Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.MINUS_J)), 1.0e-10);
+ Assert.assertEquals(-0.5 * FastMath.PI, circle.getOffset(new S2Point(Vector3D.PLUS_K)), 1.0e-10);
+ Assert.assertEquals( 0.5 * FastMath.PI, circle.getOffset(new S2Point(Vector3D.MINUS_K)), 1.0e-10);
+
+ }
+
+ @Test
+ public void testInsideArc() {
+ RandomGenerator random = new Well1024a(0xbfd34e92231bbcfel);
+ UnitSphereRandomVectorGenerator sphRandom = new UnitSphereRandomVectorGenerator(3, random);
+ for (int i = 0; i < 100; ++i) {
+ Circle c1 = new Circle(new Vector3D(sphRandom.nextVector()), 1.0e-10);
+ Circle c2 = new Circle(new Vector3D(sphRandom.nextVector()), 1.0e-10);
+ checkArcIsInside(c1, c2);
+ checkArcIsInside(c2, c1);
+ }
+ }
+
+ private void checkArcIsInside(final Circle arcCircle, final Circle otherCircle) {
+ Arc arc = arcCircle.getInsideArc(otherCircle);
+ for (double alpha = arc.getInf(); alpha < arc.getSup(); alpha += 0.1) {
+ Assert.assertTrue(otherCircle.getOffset(arcCircle.getPointAt(alpha)) <= 2.0e-15);
+ }
+ for (double alpha = arc.getSup(); alpha < arc.getInf() + MathUtils.TWO_PI; alpha += 0.1) {
+ Assert.assertTrue(otherCircle.getOffset(arcCircle.getPointAt(alpha)) >= -2.0e-15);
+ }
+ }
+
+ @Test
+ public void testTransform() {
+ RandomGenerator random = new Well1024a(0x16992fc4294bf2f1l);
+ UnitSphereRandomVectorGenerator sphRandom = new UnitSphereRandomVectorGenerator(3, random);
+ for (int i = 0; i < 100; ++i) {
+
+ Rotation r = new Rotation(new Vector3D(sphRandom.nextVector()),
+ FastMath.PI * random.nextDouble());
+ Transform<Sphere2D, Sphere1D> t = Circle.getTransform(r);
+
+ S2Point p = new S2Point(new Vector3D(sphRandom.nextVector()));
+ S2Point tp = (S2Point) t.apply(p);
+ Assert.assertEquals(0.0, r.applyTo(p.getVector()).distance(tp.getVector()), 1.0e-10);
+
+ Circle c = new Circle(new Vector3D(sphRandom.nextVector()), 1.0e-10);
+ Circle tc = (Circle) t.apply(c);
+ Assert.assertEquals(0.0, r.applyTo(c.getPole()).distance(tc.getPole()), 1.0e-10);
+ Assert.assertEquals(0.0, r.applyTo(c.getXAxis()).distance(tc.getXAxis()), 1.0e-10);
+ Assert.assertEquals(0.0, r.applyTo(c.getYAxis()).distance(tc.getYAxis()), 1.0e-10);
+ Assert.assertEquals(c.getTolerance(), ((Circle) t.apply(c)).getTolerance(), 1.0e-10);
+
+ SubLimitAngle sub = new LimitAngle(new S1Point(MathUtils.TWO_PI * random.nextDouble()),
+ random.nextBoolean(), 1.0e-10).wholeHyperplane();
+ Vector3D psub = c.getPointAt(((LimitAngle) sub.getHyperplane()).getLocation().getAlpha());
+ SubLimitAngle tsub = (SubLimitAngle) t.apply(sub, c, tc);
+ Vector3D ptsub = tc.getPointAt(((LimitAngle) tsub.getHyperplane()).getLocation().getAlpha());
+ Assert.assertEquals(0.0, r.applyTo(psub).distance(ptsub), 1.0e-10);
+
+ }
+ }
+
+}
Propchange: commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java
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Propchange: commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/spherical/twod/CircleTest.java
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svn:keywords = "Author Date Id Revision"