|
Commons Math example source code file (Vector3DTest.java)
The Commons Math Vector3DTest.java source code/* * 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.math.geometry; import org.apache.commons.math.geometry.Vector3D; import junit.framework.*; public class Vector3DTest extends TestCase { public Vector3DTest(String name) { super(name); } public void testConstructors() { double r = Math.sqrt(2) /2; checkVector(new Vector3D(2, new Vector3D(Math.PI / 3, -Math.PI / 4)), r, r * Math.sqrt(3), -2 * r); checkVector(new Vector3D(2, Vector3D.PLUS_I, -3, Vector3D.MINUS_K), 2, 0, 3); checkVector(new Vector3D(2, Vector3D.PLUS_I, 5, Vector3D.PLUS_J, -3, Vector3D.MINUS_K), 2, 5, 3); checkVector(new Vector3D(2, Vector3D.PLUS_I, 5, Vector3D.PLUS_J, 5, Vector3D.MINUS_J, -3, Vector3D.MINUS_K), 2, 0, 3); } public void testCoordinates() { Vector3D v = new Vector3D(1, 2, 3); assertTrue(Math.abs(v.getX() - 1) < 1.0e-12); assertTrue(Math.abs(v.getY() - 2) < 1.0e-12); assertTrue(Math.abs(v.getZ() - 3) < 1.0e-12); } public void testNorm1() { assertEquals(0.0, Vector3D.ZERO.getNorm1()); assertEquals(6.0, new Vector3D(1, -2, 3).getNorm1(), 0); } public void testNorm() { assertEquals(0.0, Vector3D.ZERO.getNorm()); assertEquals(Math.sqrt(14), new Vector3D(1, 2, 3).getNorm(), 1.0e-12); } public void testNormInf() { assertEquals(0.0, Vector3D.ZERO.getNormInf()); assertEquals(3.0, new Vector3D(1, -2, 3).getNormInf(), 0); } public void testDistance1() { Vector3D v1 = new Vector3D(1, -2, 3); Vector3D v2 = new Vector3D(-4, 2, 0); assertEquals(0.0, Vector3D.distance1(Vector3D.MINUS_I, Vector3D.MINUS_I), 0); assertEquals(12.0, Vector3D.distance1(v1, v2), 1.0e-12); assertEquals(v1.subtract(v2).getNorm1(), Vector3D.distance1(v1, v2), 1.0e-12); } public void testDistance() { Vector3D v1 = new Vector3D(1, -2, 3); Vector3D v2 = new Vector3D(-4, 2, 0); assertEquals(0.0, Vector3D.distance(Vector3D.MINUS_I, Vector3D.MINUS_I), 0); assertEquals(Math.sqrt(50), Vector3D.distance(v1, v2), 1.0e-12); assertEquals(v1.subtract(v2).getNorm(), Vector3D.distance(v1, v2), 1.0e-12); } public void testDistanceSq() { Vector3D v1 = new Vector3D(1, -2, 3); Vector3D v2 = new Vector3D(-4, 2, 0); assertEquals(0.0, Vector3D.distanceSq(Vector3D.MINUS_I, Vector3D.MINUS_I), 0); assertEquals(50.0, Vector3D.distanceSq(v1, v2), 1.0e-12); assertEquals(Vector3D.distance(v1, v2) * Vector3D.distance(v1, v2), Vector3D.distanceSq(v1, v2), 1.0e-12); } public void testDistanceInf() { Vector3D v1 = new Vector3D(1, -2, 3); Vector3D v2 = new Vector3D(-4, 2, 0); assertEquals(0.0, Vector3D.distanceInf(Vector3D.MINUS_I, Vector3D.MINUS_I), 0); assertEquals(5.0, Vector3D.distanceInf(v1, v2), 1.0e-12); assertEquals(v1.subtract(v2).getNormInf(), Vector3D.distanceInf(v1, v2), 1.0e-12); } public void testSubtract() { Vector3D v1 = new Vector3D(1, 2, 3); Vector3D v2 = new Vector3D(-3, -2, -1); v1 = v1.subtract(v2); checkVector(v1, 4, 4, 4); checkVector(v2.subtract(v1), -7, -6, -5); checkVector(v2.subtract(3, v1), -15, -14, -13); } public void testAdd() { Vector3D v1 = new Vector3D(1, 2, 3); Vector3D v2 = new Vector3D(-3, -2, -1); v1 = v1.add(v2); checkVector(v1, -2, 0, 2); checkVector(v2.add(v1), -5, -2, 1); checkVector(v2.add(3, v1), -9, -2, 5); } public void testScalarProduct() { Vector3D v = new Vector3D(1, 2, 3); v = v.scalarMultiply(3); checkVector(v, 3, 6, 9); checkVector(v.scalarMultiply(0.5), 1.5, 3, 4.5); } public void testVectorialProducts() { Vector3D v1 = new Vector3D(2, 1, -4); Vector3D v2 = new Vector3D(3, 1, -1); assertTrue(Math.abs(Vector3D.dotProduct(v1, v2) - 11) < 1.0e-12); Vector3D v3 = Vector3D.crossProduct(v1, v2); checkVector(v3, 3, -10, -1); assertTrue(Math.abs(Vector3D.dotProduct(v1, v3)) < 1.0e-12); assertTrue(Math.abs(Vector3D.dotProduct(v2, v3)) < 1.0e-12); } public void testAngular() { assertEquals(0, Vector3D.PLUS_I.getAlpha(), 1.0e-10); assertEquals(0, Vector3D.PLUS_I.getDelta(), 1.0e-10); assertEquals(Math.PI / 2, Vector3D.PLUS_J.getAlpha(), 1.0e-10); assertEquals(0, Vector3D.PLUS_J.getDelta(), 1.0e-10); assertEquals(0, Vector3D.PLUS_K.getAlpha(), 1.0e-10); assertEquals(Math.PI / 2, Vector3D.PLUS_K.getDelta(), 1.0e-10); Vector3D u = new Vector3D(-1, 1, -1); assertEquals(3 * Math.PI /4, u.getAlpha(), 1.0e-10); assertEquals(-1.0 / Math.sqrt(3), Math.sin(u.getDelta()), 1.0e-10); } public void testAngularSeparation() { Vector3D v1 = new Vector3D(2, -1, 4); Vector3D k = v1.normalize(); Vector3D i = k.orthogonal(); Vector3D v2 = k.scalarMultiply(Math.cos(1.2)).add(i.scalarMultiply(Math.sin(1.2))); assertTrue(Math.abs(Vector3D.angle(v1, v2) - 1.2) < 1.0e-12); } public void testNormalize() { assertEquals(1.0, new Vector3D(5, -4, 2).normalize().getNorm(), 1.0e-12); try { Vector3D.ZERO.normalize(); fail("an exception should have been thrown"); } catch (ArithmeticException ae) { // expected behavior } catch (Exception e) { fail("wrong exception caught: " + e.getMessage()); } } public void testOrthogonal() { Vector3D v1 = new Vector3D(0.1, 2.5, 1.3); assertEquals(0.0, Vector3D.dotProduct(v1, v1.orthogonal()), 1.0e-12); Vector3D v2 = new Vector3D(2.3, -0.003, 7.6); assertEquals(0.0, Vector3D.dotProduct(v2, v2.orthogonal()), 1.0e-12); Vector3D v3 = new Vector3D(-1.7, 1.4, 0.2); assertEquals(0.0, Vector3D.dotProduct(v3, v3.orthogonal()), 1.0e-12); try { new Vector3D(0, 0, 0).orthogonal(); fail("an exception should have been thrown"); } catch (ArithmeticException ae) { // expected behavior } catch (Exception e) { fail("wrong exception caught: " + e.getMessage()); } } public void testAngle() { assertEquals(0.22572612855273393616, Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(4, 5, 6)), 1.0e-12); assertEquals(7.98595620686106654517199e-8, Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(2, 4, 6.000001)), 1.0e-12); assertEquals(3.14159257373023116985197793156, Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(-2, -4, -6.000001)), 1.0e-12); try { Vector3D.angle(Vector3D.ZERO, Vector3D.PLUS_I); fail("an exception should have been thrown"); } catch (ArithmeticException ae) { // expected behavior } catch (Exception e) { fail("wrong exception caught: " + e.getMessage()); } } private void checkVector(Vector3D v, double x, double y, double z) { assertEquals(x, v.getX(), 1.0e-12); assertEquals(y, v.getY(), 1.0e-12); assertEquals(z, v.getZ(), 1.0e-12); } } Other Commons Math examples (source code examples)Here is a short list of links related to this Commons Math Vector3DTest.java source code file: |
... this post is sponsored by my books ... | |
#1 New Release! |
FP Best Seller |
Copyright 1998-2021 Alvin Alexander, alvinalexander.com
All Rights Reserved.
A percentage of advertising revenue from
pages under the /java/jwarehouse
URI on this website is
paid back to open source projects.