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Commons Math example source code file (Vector3DTest.java)

This example Commons Math source code file (Vector3DTest.java) is included in the DevDaily.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Java - Commons Math tags/keywords

arithmeticexception, arithmeticexception, exception, exception, testcase, vector3d, vector3d, vector3dtest, vector3dtest

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)

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