improved test coverage
git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@574265 13f79535-47bb-0310-9956-ffa450edef68
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@ -0,0 +1,66 @@
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/*
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* Licensed to the Apache Software Foundation (ASF) under one or more
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* contributor license agreements. See the NOTICE file distributed with
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* this work for additional information regarding copyright ownership.
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* The ASF licenses this file to You under the Apache License, Version 2.0
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* (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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package org.apache.commons.math.geometry;
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import java.lang.reflect.Field;
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import org.apache.commons.math.geometry.RotationOrder;
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import junit.framework.*;
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public class RotationOrderTest
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extends TestCase {
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public RotationOrderTest(String name) {
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super(name);
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}
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public void testName() {
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RotationOrder[] orders = {
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RotationOrder.XYZ, RotationOrder.XZY, RotationOrder.YXZ,
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RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX,
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RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
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RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
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};
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for (int i = 0; i < orders.length; ++i) {
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assertEquals(getFieldName(orders[i]), orders[i].toString());
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}
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}
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private String getFieldName(RotationOrder order) {
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try {
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Field[] fields = RotationOrder.class.getFields();
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for (int i = 0; i < fields.length; ++i) {
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if (fields[i].get(null) == order) {
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return fields[i].getName();
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}
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}
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} catch (IllegalAccessException iae) {
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// ignored
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}
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return "unknown";
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}
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public static Test suite() {
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return new TestSuite(RotationOrderTest.class);
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}
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}
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@ -80,6 +80,17 @@ public class RotationTest
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checkVector(r.getAxis(), Vector3D.plusJ);
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checkAngle(r.getAngle(), Math.PI);
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checkVector(new Rotation().getAxis(), Vector3D.plusI);
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}
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public void testRevert() {
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Rotation r = new Rotation(0.001, 0.36, 0.48, 0.8, true);
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Rotation reverted = r.revert();
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checkRotation(r.applyTo(reverted), 1, 0, 0, 0);
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checkRotation(reverted.applyTo(r), 1, 0, 0, 0);
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assertEquals(r.getAngle(), reverted.getAngle(), 1.0e-12);
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assertEquals(-1, Vector3D.dotProduct(r.getAxis(), reverted.getAxis()), 1.0e-12);
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}
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public void testVectorOnePair() {
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@ -91,6 +102,14 @@ public class RotationTest
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checkAngle(new Rotation(u, u.negate()).getAngle(), Math.PI);
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try {
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new Rotation(u, new Vector3D());
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fail("an exception should have been thrown");
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} catch (ArithmeticException e) {
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} catch (Exception e) {
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fail("unexpected exception");
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}
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}
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public void testVectorTwoPairs() {
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@ -112,11 +131,93 @@ public class RotationTest
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}
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checkAngle(r.getAngle(), Math.PI);
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double sqrt = Math.sqrt(2) / 2;
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r = new Rotation(Vector3D.plusI, Vector3D.plusJ,
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new Vector3D(0.5, 0.5, sqrt),
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new Vector3D(0.5, 0.5, -sqrt));
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checkRotation(r, sqrt, 0.5, 0.5, 0);
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r = new Rotation(u1, u2, u1, Vector3D.crossProduct(u1, u2));
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checkRotation(r, sqrt, -sqrt, 0, 0);
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checkRotation(new Rotation(u1, u2, u1, u2), 1, 0, 0, 0);
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try {
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new Rotation(u1, u2, new Vector3D(), v2);
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fail("an exception should have been thrown");
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} catch (ArithmeticException e) {
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} catch (Exception e) {
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fail("unexpected exception");
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}
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}
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public void testMatrix()
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throws NotARotationMatrixException {
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try {
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new Rotation(new double[][] {
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{ 0.0, 1.0, 0.0 },
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{ 1.0, 0.0, 0.0 }
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}, 1.0e-7);
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} catch (NotARotationMatrixException nrme) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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try {
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new Rotation(new double[][] {
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{ 0.445888, 0.797184, -0.407040 },
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{ 0.821760, -0.184320, 0.539200 },
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{ -0.354816, 0.574912, 0.737280 }
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}, 1.0e-7);
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} catch (NotARotationMatrixException nrme) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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try {
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new Rotation(new double[][] {
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{ 0.4, 0.8, -0.4 },
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{ -0.4, 0.6, 0.7 },
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{ 0.8, -0.2, 0.5 }
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}, 1.0e-15);
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} catch (NotARotationMatrixException nrme) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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checkRotation(new Rotation(new double[][] {
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{ 0.445888, 0.797184, -0.407040 },
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{ -0.354816, 0.574912, 0.737280 },
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{ 0.821760, -0.184320, 0.539200 }
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}, 1.0e-10),
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0.8, 0.288, 0.384, 0.36);
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checkRotation(new Rotation(new double[][] {
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{ 0.539200, 0.737280, 0.407040 },
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{ 0.184320, -0.574912, 0.797184 },
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{ 0.821760, -0.354816, -0.445888 }
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}, 1.0e-10),
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0.36, 0.8, 0.288, 0.384);
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checkRotation(new Rotation(new double[][] {
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{ -0.445888, 0.797184, -0.407040 },
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{ 0.354816, 0.574912, 0.737280 },
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{ 0.821760, 0.184320, -0.539200 }
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}, 1.0e-10),
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0.384, 0.36, 0.8, 0.288);
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checkRotation(new Rotation(new double[][] {
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{ -0.539200, 0.737280, 0.407040 },
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{ -0.184320, -0.574912, 0.797184 },
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{ 0.821760, 0.354816, 0.445888 }
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}, 1.0e-10),
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0.288, 0.384, 0.36, 0.8);
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double[][] m1 = { { 0.0, 1.0, 0.0 },
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{ 0.0, 0.0, 1.0 },
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{ 1.0, 0.0, 0.0 } };
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@ -209,17 +310,11 @@ public class RotationTest
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RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX
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};
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RotationOrder[] EulerOrders = {
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RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
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RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
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};
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for (int i = 0; i < CardanOrders.length; ++i) {
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for (double alpha1 = 0.1; alpha1 < 6.2; alpha1 += 0.3) {
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for (double alpha2 = -1.55; alpha2 < 1.55; alpha2 += 0.3) {
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for (double alpha3 = 0.1; alpha3 < 6.2; alpha3 += 0.3) {
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Rotation r = new Rotation(CardanOrders[i],
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alpha1, alpha2, alpha3);
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Rotation r = new Rotation(CardanOrders[i], alpha1, alpha2, alpha3);
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double[] angles = r.getAngles(CardanOrders[i]);
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checkAngle(angles[0], alpha1);
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checkAngle(angles[1], alpha2);
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}
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}
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RotationOrder[] EulerOrders = {
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RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
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RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
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};
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for (int i = 0; i < EulerOrders.length; ++i) {
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for (double alpha1 = 0.1; alpha1 < 6.2; alpha1 += 0.3) {
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for (double alpha2 = 0.05; alpha2 < 3.1; alpha2 += 0.3) {
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@ -246,7 +346,54 @@ public class RotationTest
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}
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public void testSingularities()
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throws CardanEulerSingularityException {
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RotationOrder[] CardanOrders = {
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RotationOrder.XYZ, RotationOrder.XZY, RotationOrder.YXZ,
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RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX
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};
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double[] singularCardanAngle = { Math.PI / 2, -Math.PI / 2 };
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for (int i = 0; i < CardanOrders.length; ++i) {
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for (int j = 0; j < singularCardanAngle.length; ++j) {
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Rotation r = new Rotation(CardanOrders[i], 0.1, singularCardanAngle[j], 0.3);
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try {
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r.getAngles(CardanOrders[i]);
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fail("an exception should have been caught");
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} catch (CardanEulerSingularityException cese) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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}
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}
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RotationOrder[] EulerOrders = {
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RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
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RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
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};
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double[] singularEulerAngle = { 0, Math.PI };
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for (int i = 0; i < EulerOrders.length; ++i) {
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for (int j = 0; j < singularEulerAngle.length; ++j) {
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Rotation r = new Rotation(EulerOrders[i], 0.1, singularEulerAngle[j], 0.3);
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try {
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r.getAngles(EulerOrders[i]);
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fail("an exception should have been caught");
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} catch (CardanEulerSingularityException cese) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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}
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}
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}
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public void testQuaternion() {
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Rotation r1 = new Rotation(new Vector3D(2, -3, 5), 1.7);
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double n = 23.5;
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Rotation r2 = new Rotation(n * r1.getQ0(), n * r1.getQ1(),
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}
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}
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}
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r1 = new Rotation( 0.288, 0.384, 0.36, 0.8, false);
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checkRotation(r1, -r1.getQ0(), -r1.getQ1(), -r1.getQ2(), -r1.getQ3());
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}
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public void testCompose() {
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@ -343,6 +494,11 @@ public class RotationTest
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assertTrue(Math.abs(a1 - a2) < 1.0e-10);
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}
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private void checkRotation(Rotation r, double q0, double q1, double q2, double q3) {
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Rotation reference = new Rotation(q0, q1, q2, q3, false);
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assertEquals(0, r.applyInverseTo(reference).getAngle(), 1.0e-12);
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}
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public static Test suite() {
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return new TestSuite(RotationTest.class);
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}
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@ -28,6 +28,24 @@ public class Vector3DTest
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super(name);
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}
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public void testConstructors() {
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double r = Math.sqrt(2) /2;
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checkVector(new Vector3D(2, new Vector3D(Math.PI / 3, -Math.PI / 4)),
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r, r * Math.sqrt(3), -2 * r);
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checkVector(new Vector3D(2, Vector3D.plusI,
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-3, Vector3D.minusK),
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2, 0, 3);
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checkVector(new Vector3D(2, Vector3D.plusI,
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5, Vector3D.plusJ,
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-3, Vector3D.minusK),
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2, 5, 3);
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checkVector(new Vector3D(2, Vector3D.plusI,
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5, Vector3D.plusJ,
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5, Vector3D.minusJ,
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-3, Vector3D.minusK),
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2, 0, 3);
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}
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public void testCoordinates() {
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Vector3D v = new Vector3D(1, 2, 3);
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assertTrue(Math.abs(v.getX() - 1) < 1.0e-12);
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@ -46,9 +64,10 @@ public class Vector3DTest
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Vector3D v1 = new Vector3D(1, 2, 3);
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Vector3D v2 = new Vector3D(-3, -2, -1);
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v1 = v1.subtract(v2);
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checkVector(v1, new Vector3D(4, 4, 4));
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checkVector(v1, 4, 4, 4);
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checkVector(v2.subtract(v1), new Vector3D(-7, -6, -5));
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checkVector(v2.subtract(v1), -7, -6, -5);
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checkVector(v2.subtract(3, v1), -15, -14, -13);
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}
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@ -56,18 +75,19 @@ public class Vector3DTest
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Vector3D v1 = new Vector3D(1, 2, 3);
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Vector3D v2 = new Vector3D(-3, -2, -1);
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v1 = v1.add(v2);
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checkVector(v1, new Vector3D(-2, 0, 2));
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checkVector(v1, -2, 0, 2);
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checkVector(v2.add(v1), new Vector3D(-5, -2, 1));
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checkVector(v2.add(v1), -5, -2, 1);
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checkVector(v2.add(3, v1), -9, -2, 5);
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}
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public void testScalarProduct() {
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Vector3D v = new Vector3D(1, 2, 3);
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v = v.multiply(3);
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checkVector(v, new Vector3D(3, 6, 9));
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checkVector(v, 3, 6, 9);
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checkVector(v.multiply(0.5), new Vector3D(1.5, 3, 4.5));
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checkVector(v.multiply(0.5), 1.5, 3, 4.5);
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}
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@ -78,7 +98,7 @@ public class Vector3DTest
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assertTrue(Math.abs(Vector3D.dotProduct(v1, v2) - 11) < 1.0e-12);
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Vector3D v3 = Vector3D.crossProduct(v1, v2);
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checkVector(v3, new Vector3D(3, -10, -1));
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checkVector(v3, 3, -10, -1);
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assertTrue(Math.abs(Vector3D.dotProduct(v1, v3)) < 1.0e-12);
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assertTrue(Math.abs(Vector3D.dotProduct(v2, v3)) < 1.0e-12);
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@ -111,8 +131,59 @@ public class Vector3DTest
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}
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private void checkVector(Vector3D v1, Vector3D v2) {
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assertTrue(v1.subtract(v2).getNorm() < 1.0e-12);
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public void testNormalize() {
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assertEquals(1.0, new Vector3D(5, -4, 2).normalize().getNorm(), 1.0e-12);
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try {
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new Vector3D().normalize();
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fail("an exception should have been thrown");
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} catch (ArithmeticException ae) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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}
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public void testOrthogonal() {
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Vector3D v1 = new Vector3D(0.1, 2.5, 1.3);
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assertEquals(0.0, Vector3D.dotProduct(v1, v1.orthogonal()), 1.0e-12);
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Vector3D v2 = new Vector3D(2.3, -0.003, 7.6);
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assertEquals(0.0, Vector3D.dotProduct(v2, v2.orthogonal()), 1.0e-12);
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Vector3D v3 = new Vector3D(-1.7, 1.4, 0.2);
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assertEquals(0.0, Vector3D.dotProduct(v3, v3.orthogonal()), 1.0e-12);
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try {
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new Vector3D(0, 0, 0).orthogonal();
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fail("an exception should have been thrown");
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} catch (ArithmeticException ae) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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}
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public void testAngle() {
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assertEquals(0.22572612855273393616,
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Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(4, 5, 6)),
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1.0e-12);
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assertEquals(7.98595620686106654517199e-8,
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Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(2, 4, 6.000001)),
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1.0e-12);
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assertEquals(3.14159257373023116985197793156,
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Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(-2, -4, -6.000001)),
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1.0e-12);
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try {
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Vector3D.angle(new Vector3D(), Vector3D.plusI);
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fail("an exception should have been thrown");
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} catch (ArithmeticException ae) {
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// expected behavior
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} catch (Exception e) {
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fail("wrong exception caught: " + e.getMessage());
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}
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}
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private void checkVector(Vector3D v, double x, double y, double z) {
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assertEquals(x, v.getX(), 1.0e-12);
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assertEquals(y, v.getY(), 1.0e-12);
|
||||
assertEquals(z, v.getZ(), 1.0e-12);
|
||||
}
|
||||
|
||||
public static Test suite() {
|
||||
|
|
Loading…
Reference in New Issue