You are viewing a plain text version of this content. The canonical link for it is here.
Posted to commits@commons.apache.org by lu...@apache.org on 2013/02/18 14:58:22 UTC
svn commit: r1447263 [3/3] - in /commons/proper/math/trunk/src: changes/
main/java/org/apache/commons/math3/geometry/euclidean/threed/
test/java/org/apache/commons/math3/geometry/euclidean/threed/
Added: commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/euclidean/threed/Vector3DDSTest.java
URL: http://svn.apache.org/viewvc/commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/euclidean/threed/Vector3DDSTest.java?rev=1447263&view=auto
==============================================================================
--- commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/euclidean/threed/Vector3DDSTest.java (added)
+++ commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/euclidean/threed/Vector3DDSTest.java Mon Feb 18 13:58:21 2013
@@ -0,0 +1,733 @@
+/*
+ * 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.euclidean.threed;
+
+import java.text.DecimalFormat;
+import java.text.DecimalFormatSymbols;
+import java.text.NumberFormat;
+import java.util.Locale;
+
+import org.apache.commons.math3.analysis.differentiation.DerivativeStructure;
+import org.apache.commons.math3.exception.DimensionMismatchException;
+import org.apache.commons.math3.exception.MathArithmeticException;
+import org.apache.commons.math3.random.Well1024a;
+import org.apache.commons.math3.util.FastMath;
+import org.apache.commons.math3.util.Precision;
+import org.junit.Assert;
+import org.junit.Test;
+
+public class Vector3DDSTest {
+ @Test
+ public void testConstructors() throws DimensionMismatchException {
+ double cosAlpha = 1 / 2.0;
+ double sinAlpha = FastMath.sqrt(3) / 2.0;
+ double cosDelta = FastMath.sqrt(2) / 2.0;
+ double sinDelta = -FastMath.sqrt(2) / 2.0;
+ Vector3DDS u = new Vector3DDS(2,
+ new Vector3DDS(new DerivativeStructure(2, 1, 0, FastMath.PI / 3),
+ new DerivativeStructure(2, 1, 1, -FastMath.PI / 4)));
+ checkVector(u, 2 * cosAlpha * cosDelta, 2 * sinAlpha * cosDelta, 2 * sinDelta);
+ Assert.assertEquals(-2 * sinAlpha * cosDelta, u.getX().getPartialDerivative(1, 0), 1.0e-12);
+ Assert.assertEquals(+2 * cosAlpha * cosDelta, u.getY().getPartialDerivative(1, 0), 1.0e-12);
+ Assert.assertEquals(0, u.getZ().getPartialDerivative(1, 0), 1.0e-12);
+ Assert.assertEquals(-2 * cosAlpha * sinDelta, u.getX().getPartialDerivative(0, 1), 1.0e-12);
+ Assert.assertEquals(-2 * sinAlpha * sinDelta, u.getY().getPartialDerivative(0, 1), 1.0e-12);
+ Assert.assertEquals(2 * cosDelta, u.getZ().getPartialDerivative(0, 1), 1.0e-12);
+
+ checkVector(new Vector3DDS(2, createVector(1, 0, 0, 3)),
+ 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ createVector(1, 0, 0, 4)),
+ 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ new Vector3D(1, 0, 0)),
+ 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0);
+
+ checkVector(new Vector3DDS(2, createVector(1, 0, 0, 3),
+ -3, createVector(0, 0, -1, 3)),
+ 2, 0, 3, -1, 0, 0, 0, -1, 0, 0, 0, -1);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ createVector(1, 0, 0, 4),
+ new DerivativeStructure(4, 1, 3, -3.0),
+ createVector(0, 0, -1, 4)),
+ 2, 0, 3, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ new Vector3D(1, 0, 0),
+ new DerivativeStructure(4, 1, 3, -3.0),
+ new Vector3D(0, 0, -1)),
+ 2, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1);
+
+ checkVector(new Vector3DDS(2, createVector(1, 0, 0, 3),
+ 5, createVector(0, 1, 0, 3),
+ -3, createVector(0, 0, -1, 3)),
+ 2, 5, 3, 4, 0, 0, 0, 4, 0, 0, 0, 4);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ createVector(1, 0, 0, 4),
+ new DerivativeStructure(4, 1, 3, 5.0),
+ createVector(0, 1, 0, 4),
+ new DerivativeStructure(4, 1, 3, -3.0),
+ createVector(0, 0, -1, 4)),
+ 2, 5, 3, 4, 0, 0, 1, 0, 4, 0, 1, 0, 0, 4, -1);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ new Vector3D(1, 0, 0),
+ new DerivativeStructure(4, 1, 3, 5.0),
+ new Vector3D(0, 1, 0),
+ new DerivativeStructure(4, 1, 3, -3.0),
+ new Vector3D(0, 0, -1)),
+ 2, 5, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1);
+
+ checkVector(new Vector3DDS(2, createVector(1, 0, 0, 3),
+ 5, createVector(0, 1, 0, 3),
+ 5, createVector(0, -1, 0, 3),
+ -3, createVector(0, 0, -1, 3)),
+ 2, 0, 3, 9, 0, 0, 0, 9, 0, 0, 0, 9);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ createVector(1, 0, 0, 4),
+ new DerivativeStructure(4, 1, 3, 5.0),
+ createVector(0, 1, 0, 4),
+ new DerivativeStructure(4, 1, 3, 5.0),
+ createVector(0, -1, 0, 4),
+ new DerivativeStructure(4, 1, 3, -3.0),
+ createVector(0, 0, -1, 4)),
+ 2, 0, 3, 9, 0, 0, 1, 0, 9, 0, 0, 0, 0, 9, -1);
+ checkVector(new Vector3DDS(new DerivativeStructure(4, 1, 3, 2.0),
+ new Vector3D(1, 0, 0),
+ new DerivativeStructure(4, 1, 3, 5.0),
+ new Vector3D(0, 1, 0),
+ new DerivativeStructure(4, 1, 3, 5.0),
+ new Vector3D(0, -1, 0),
+ new DerivativeStructure(4, 1, 3, -3.0),
+ new Vector3D(0, 0, -1)),
+ 2, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1);
+
+ checkVector(new Vector3DDS(new DerivativeStructure[] {
+ new DerivativeStructure(3, 1, 2, 2),
+ new DerivativeStructure(3, 1, 1, 5),
+ new DerivativeStructure(3, 1, 0, -3)
+ }),
+ 2, 5, -3, 0, 0, 1, 0, 1, 0, 1, 0, 0);
+
+ }
+
+ @Test
+ public void testEquals() {
+ Vector3DDS u1 = createVector(1, 2, 3, 3);
+ Vector3DDS v = createVector(1, 2, 3 + 10 * Precision.EPSILON, 3);
+ Assert.assertTrue(u1.equals(u1));
+ Assert.assertTrue(u1.equals(new Vector3DDS(new DerivativeStructure(3, 1, 0, 1.0),
+ new DerivativeStructure(3, 1, 1, 2.0),
+ new DerivativeStructure(3, 1, 2, 3.0))));
+ Assert.assertFalse(u1.equals(new Vector3DDS(new DerivativeStructure(3, 1, 1.0),
+ new DerivativeStructure(3, 1, 1, 2.0),
+ new DerivativeStructure(3, 1, 2, 3.0))));
+ Assert.assertFalse(u1.equals(new Vector3DDS(new DerivativeStructure(3, 1, 0, 1.0),
+ new DerivativeStructure(3, 1, 2.0),
+ new DerivativeStructure(3, 1, 2, 3.0))));
+ Assert.assertFalse(u1.equals(new Vector3DDS(new DerivativeStructure(3, 1, 0, 1.0),
+ new DerivativeStructure(3, 1, 1, 2.0),
+ new DerivativeStructure(3, 1, 3.0))));
+ Assert.assertFalse(u1.equals(v));
+ Assert.assertFalse(u1.equals(u1.toVector3D()));
+ Assert.assertTrue(createVector(0, Double.NaN, 0, 3).equals(createVector(0, 0, Double.NaN, 3)));
+ }
+
+ @Test
+ public void testHash() {
+ Assert.assertEquals(createVector(0, Double.NaN, 0, 3).hashCode(), createVector(0, 0, Double.NaN, 3).hashCode());
+ Vector3DDS u = createVector(1, 2, 3, 3);
+ Vector3DDS v = createVector(1, 2, 3 + 10 * Precision.EPSILON, 3);
+ Assert.assertTrue(u.hashCode() != v.hashCode());
+ }
+
+ @Test
+ public void testInfinite() {
+ Assert.assertTrue(createVector(1, 1, Double.NEGATIVE_INFINITY, 3).isInfinite());
+ Assert.assertTrue(createVector(1, Double.NEGATIVE_INFINITY, 1, 3).isInfinite());
+ Assert.assertTrue(createVector(Double.NEGATIVE_INFINITY, 1, 1, 3).isInfinite());
+ Assert.assertFalse(createVector(1, 1, 2, 3).isInfinite());
+ Assert.assertFalse(createVector(1, Double.NaN, Double.NEGATIVE_INFINITY, 3).isInfinite());
+ }
+
+ @Test
+ public void testNaN() {
+ Assert.assertTrue(createVector(1, 1, Double.NaN, 3).isNaN());
+ Assert.assertTrue(createVector(1, Double.NaN, 1, 3).isNaN());
+ Assert.assertTrue(createVector(Double.NaN, 1, 1, 3).isNaN());
+ Assert.assertFalse(createVector(1, 1, 2, 3).isNaN());
+ Assert.assertFalse(createVector(1, 1, Double.NEGATIVE_INFINITY, 3).isNaN());
+ }
+
+ @Test
+ public void testToString() {
+ Assert.assertEquals("{3; 2; 1}", createVector(3, 2, 1, 3).toString());
+ NumberFormat format = new DecimalFormat("0.000", new DecimalFormatSymbols(Locale.US));
+ Assert.assertEquals("{3.000; 2.000; 1.000}", createVector(3, 2, 1, 3).toString(format));
+ }
+
+ @Test(expected=DimensionMismatchException.class)
+ public void testWrongDimension() throws DimensionMismatchException {
+ new Vector3DDS(new DerivativeStructure[] {
+ new DerivativeStructure(3, 1, 0, 2),
+ new DerivativeStructure(3, 1, 0, 5)
+ });
+ }
+
+ @Test
+ public void testCoordinates() {
+ Vector3DDS v = createVector(1, 2, 3, 3);
+ Assert.assertTrue(FastMath.abs(v.getX().getValue() - 1) < 1.0e-12);
+ Assert.assertTrue(FastMath.abs(v.getY().getValue() - 2) < 1.0e-12);
+ Assert.assertTrue(FastMath.abs(v.getZ().getValue() - 3) < 1.0e-12);
+ DerivativeStructure[] coordinates = v.toArray();
+ Assert.assertTrue(FastMath.abs(coordinates[0].getValue() - 1) < 1.0e-12);
+ Assert.assertTrue(FastMath.abs(coordinates[1].getValue() - 2) < 1.0e-12);
+ Assert.assertTrue(FastMath.abs(coordinates[2].getValue() - 3) < 1.0e-12);
+ }
+
+ @Test
+ public void testNorm1() {
+ Assert.assertEquals( 0.0, createVector(0, 0, 0, 3).getNorm1().getValue(), 0);
+ Assert.assertEquals( 6.0, createVector(1, -2, 3, 3).getNorm1().getValue(), 0);
+ Assert.assertEquals( 1.0, createVector(1, -2, 3, 3).getNorm1().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals(-1.0, createVector(1, -2, 3, 3).getNorm1().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 1.0, createVector(1, -2, 3, 3).getNorm1().getPartialDerivative(0, 0, 1), 0);
+ }
+
+ @Test
+ public void testNorm() {
+ double r = FastMath.sqrt(14);
+ Assert.assertEquals(0.0, createVector(0, 0, 0, 3).getNorm().getValue(), 0);
+ Assert.assertEquals(r, createVector(1, 2, 3, 3).getNorm().getValue(), 1.0e-12);
+ Assert.assertEquals( 1.0 / r, createVector(1, 2, 3, 3).getNorm().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals( 2.0 / r, createVector(1, 2, 3, 3).getNorm().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 3.0 / r, createVector(1, 2, 3, 3).getNorm().getPartialDerivative(0, 0, 1), 0);
+ }
+
+ @Test
+ public void testNormSq() {
+ Assert.assertEquals(0.0, createVector(0, 0, 0, 3).getNormSq().getValue(), 0);
+ Assert.assertEquals(14, createVector(1, 2, 3, 3).getNormSq().getValue(), 1.0e-12);
+ Assert.assertEquals( 2, createVector(1, 2, 3, 3).getNormSq().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals( 4, createVector(1, 2, 3, 3).getNormSq().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 6, createVector(1, 2, 3, 3).getNormSq().getPartialDerivative(0, 0, 1), 0);
+ }
+
+ @Test
+ public void testNormInf() {
+ Assert.assertEquals( 0.0, createVector(0, 0, 0, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 3.0, createVector(1, -2, 3, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 0.0, createVector(1, -2, 3, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals( 0.0, createVector(1, -2, 3, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 1.0, createVector(1, -2, 3, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);
+ Assert.assertEquals( 3.0, createVector(2, -1, 3, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 0.0, createVector(2, -1, 3, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals( 0.0, createVector(2, -1, 3, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 1.0, createVector(2, -1, 3, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);
+ Assert.assertEquals( 3.0, createVector(1, -3, 2, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 0.0, createVector(1, -3, 2, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals(-1.0, createVector(1, -3, 2, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 0.0, createVector(1, -3, 2, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);
+ Assert.assertEquals( 3.0, createVector(2, -3, 1, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 0.0, createVector(2, -3, 1, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals(-1.0, createVector(2, -3, 1, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 0.0, createVector(2, -3, 1, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);
+ Assert.assertEquals( 3.0, createVector(3, -1, 2, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 1.0, createVector(3, -1, 2, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals( 0.0, createVector(3, -1, 2, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 0.0, createVector(3, -1, 2, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);
+ Assert.assertEquals( 3.0, createVector(3, -2, 1, 3).getNormInf().getValue(), 0);
+ Assert.assertEquals( 1.0, createVector(3, -2, 1, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);
+ Assert.assertEquals( 0.0, createVector(3, -2, 1, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);
+ Assert.assertEquals( 0.0, createVector(3, -2, 1, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);
+ }
+
+ @Test
+ public void testDistance1() {
+ Vector3DDS v1 = createVector(1, -2, 3, 3);
+ Vector3DDS v2 = createVector(-4, 2, 0, 3);
+ Assert.assertEquals(0.0, Vector3DDS.distance1(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getValue(), 0);
+ DerivativeStructure distance = Vector3DDS.distance1(v1, v2);
+ Assert.assertEquals(12.0, distance.getValue(), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distance = Vector3DDS.distance1(v1, new Vector3D(-4, 2, 0));
+ Assert.assertEquals(12.0, distance.getValue(), 1.0e-12);
+ Assert.assertEquals( 1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(-1, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals( 1, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distance = Vector3DDS.distance1(new Vector3D(-4, 2, 0), v1);
+ Assert.assertEquals(12.0, distance.getValue(), 1.0e-12);
+ Assert.assertEquals( 1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(-1, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals( 1, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ Assert.assertEquals(v1.subtract(v2).getNorm1().getValue(), Vector3DDS.distance1(v1, v2).getValue(), 1.0e-12);
+ }
+
+ @Test
+ public void testDistance() {
+ Vector3DDS v1 = createVector(1, -2, 3, 3);
+ Vector3DDS v2 = createVector(-4, 2, 0, 3);
+ Assert.assertEquals(0.0, Vector3DDS.distance(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getValue(), 0);
+ DerivativeStructure distance = Vector3DDS.distance(v1, v2);
+ Assert.assertEquals(FastMath.sqrt(50), distance.getValue(), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distance = Vector3DDS.distance(v1, new Vector3D(-4, 2, 0));
+ Assert.assertEquals(FastMath.sqrt(50), distance.getValue(), 1.0e-12);
+ Assert.assertEquals( 5 / FastMath.sqrt(50), distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(-4 / FastMath.sqrt(50), distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals( 3 / FastMath.sqrt(50), distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distance = Vector3DDS.distance(new Vector3D(-4, 2, 0), v1);
+ Assert.assertEquals(FastMath.sqrt(50), distance.getValue(), 1.0e-12);
+ Assert.assertEquals( 5 / FastMath.sqrt(50), distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(-4 / FastMath.sqrt(50), distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals( 3 / FastMath.sqrt(50), distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ Assert.assertEquals(v1.subtract(v2).getNorm().getValue(), Vector3DDS.distance(v1, v2).getValue(), 1.0e-12);
+ }
+
+ @Test
+ public void testDistanceSq() {
+ Vector3DDS v1 = createVector(1, -2, 3, 3);
+ Vector3DDS v2 = createVector(-4, 2, 0, 3);
+ Assert.assertEquals(0.0, Vector3DDS.distanceSq(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getValue(), 0);
+ DerivativeStructure distanceSq = Vector3DDS.distanceSq(v1, v2);
+ Assert.assertEquals(50.0, distanceSq.getValue(), 1.0e-12);
+ Assert.assertEquals(0, distanceSq.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(0, distanceSq.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(0, distanceSq.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distanceSq = Vector3DDS.distanceSq(v1, new Vector3D(-4, 2, 0));
+ Assert.assertEquals(50.0, distanceSq.getValue(), 1.0e-12);
+ Assert.assertEquals(10, distanceSq.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(-8, distanceSq.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals( 6, distanceSq.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distanceSq = Vector3DDS.distanceSq(new Vector3D(-4, 2, 0), v1);
+ Assert.assertEquals(50.0, distanceSq.getValue(), 1.0e-12);
+ Assert.assertEquals(10, distanceSq.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(-8, distanceSq.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals( 6, distanceSq.getPartialDerivative(0, 0, 1), 1.0e-12);
+ Assert.assertEquals(Vector3DDS.distance(v1, v2).multiply(Vector3DDS.distance(v1, v2)).getValue(),
+ Vector3DDS.distanceSq(v1, v2).getValue(), 1.0e-12);
+ }
+
+ @Test
+ public void testDistanceInf() {
+ Vector3DDS v1 = createVector(1, -2, 3, 3);
+ Vector3DDS v2 = createVector(-4, 2, 0, 3);
+ Assert.assertEquals(0.0, Vector3DDS.distanceInf(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getValue(), 0);
+ DerivativeStructure distance = Vector3DDS.distanceInf(v1, v2);
+ Assert.assertEquals(5.0, distance.getValue(), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distance = Vector3DDS.distanceInf(v1, new Vector3D(-4, 2, 0));
+ Assert.assertEquals(5.0, distance.getValue(), 1.0e-12);
+ Assert.assertEquals(1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ distance = Vector3DDS.distanceInf(new Vector3D(-4, 2, 0), v1);
+ Assert.assertEquals(5.0, distance.getValue(), 1.0e-12);
+ Assert.assertEquals(1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);
+ Assert.assertEquals(v1.subtract(v2).getNormInf().getValue(), Vector3DDS.distanceInf(v1, v2).getValue(), 1.0e-12);
+
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector( 1, -2, 3, 3),
+ createVector(-4, 2, 0, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector( 1, 3, -2, 3),
+ createVector(-4, 0, 2, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(-2, 1, 3, 3),
+ createVector( 2, -4, 0, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(-2, 3, 1, 3),
+ createVector( 2, 0, -4, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(3, -2, 1, 3),
+ createVector(0, 2, -4, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(3, 1, -2, 3),
+ createVector(0, -4, 2, 3)).getValue(),
+ 1.0e-12);
+
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector( 1, -2, 3, 3),
+ new Vector3D(-4, 2, 0)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector( 1, 3, -2, 3),
+ new Vector3D(-4, 0, 2)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(-2, 1, 3, 3),
+ new Vector3D( 2, -4, 0)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(-2, 3, 1, 3),
+ new Vector3D( 2, 0, -4)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(3, -2, 1, 3),
+ new Vector3D(0, 2, -4)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(5.0,
+ Vector3DDS.distanceInf(createVector(3, 1, -2, 3),
+ new Vector3D(0, -4, 2)).getValue(),
+ 1.0e-12);
+
+ }
+
+ @Test
+ public void testSubtract() {
+ Vector3DDS v1 = createVector(1, 2, 3, 3);
+ Vector3DDS v2 = createVector(-3, -2, -1, 3);
+ v1 = v1.subtract(v2);
+ checkVector(v1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0);
+
+ checkVector(v2.subtract(v1), -7, -6, -5, 1, 0, 0, 0, 1, 0, 0, 0, 1);
+ checkVector(v2.subtract(new Vector3D(4, 4, 4)), -7, -6, -5, 1, 0, 0, 0, 1, 0, 0, 0, 1);
+ checkVector(v2.subtract(3, v1), -15, -14, -13, 1, 0, 0, 0, 1, 0, 0, 0, 1);
+ checkVector(v2.subtract(3, new Vector3D(4, 4, 4)), -15, -14, -13, 1, 0, 0, 0, 1, 0, 0, 0, 1);
+ checkVector(v2.subtract(new DerivativeStructure(3, 1, 2, 3), new Vector3D(4, 4, 4)),
+ -15, -14, -13, 1, 0, -4, 0, 1, -4, 0, 0, -3);
+
+ checkVector(createVector(1, 2, 3, 4).subtract(new DerivativeStructure(4, 1, 3, 5.0),
+ createVector(3, -2, 1, 4)),
+ -14, 12, -2,
+ -4, 0, 0, -3,
+ 0, -4, 0, 2,
+ 0, 0, -4, -1);
+
+ }
+
+ @Test
+ public void testAdd() {
+ Vector3DDS v1 = createVector(1, 2, 3, 3);
+ Vector3DDS v2 = createVector(-3, -2, -1, 3);
+ v1 = v1.add(v2);
+ checkVector(v1, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2);
+
+ checkVector(v2.add(v1), -5, -2, 1, 3, 0, 0, 0, 3, 0, 0, 0, 3);
+ checkVector(v2.add(new Vector3D(-2, 0, 2)), -5, -2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1);
+ checkVector(v2.add(3, v1), -9, -2, 5, 7, 0, 0, 0, 7, 0, 0, 0, 7);
+ checkVector(v2.add(3, new Vector3D(-2, 0, 2)), -9, -2, 5, 1, 0, 0, 0, 1, 0, 0, 0, 1);
+ checkVector(v2.add(new DerivativeStructure(3, 1, 2, 3), new Vector3D(-2, 0, 2)),
+ -9, -2, 5, 1, 0, -2, 0, 1, 0, 0, 0, 3);
+
+ checkVector(createVector(1, 2, 3, 4).add(new DerivativeStructure(4, 1, 3, 5.0),
+ createVector(3, -2, 1, 4)),
+ 16, -8, 8,
+ 6, 0, 0, 3,
+ 0, 6, 0, -2,
+ 0, 0, 6, 1);
+
+ }
+
+ @Test
+ public void testScalarProduct() {
+ Vector3DDS v = createVector(1, 2, 3, 3);
+ v = v.scalarMultiply(3);
+ checkVector(v, 3, 6, 9);
+
+ checkVector(v.scalarMultiply(0.5), 1.5, 3, 4.5);
+ }
+
+ @Test
+ public void testVectorialProducts() {
+ Vector3DDS v1 = createVector(2, 1, -4, 3);
+ Vector3DDS v2 = createVector(3, 1, -1, 3);
+
+ Assert.assertTrue(FastMath.abs(Vector3DDS.dotProduct(v1, v2).getValue() - 11) < 1.0e-12);
+
+ Vector3DDS v3 = Vector3DDS.crossProduct(v1, v2);
+ checkVector(v3, 3, -10, -1);
+
+ Assert.assertTrue(FastMath.abs(Vector3DDS.dotProduct(v1, v3).getValue()) < 1.0e-12);
+ Assert.assertTrue(FastMath.abs(Vector3DDS.dotProduct(v2, v3).getValue()) < 1.0e-12);
+ }
+
+ @Test
+ public void testCrossProductCancellation() {
+ Vector3DDS v1 = createVector(9070467121.0, 4535233560.0, 1, 3);
+ Vector3DDS v2 = createVector(9070467123.0, 4535233561.0, 1, 3);
+ checkVector(Vector3DDS.crossProduct(v1, v2), -1, 2, 1);
+
+ double scale = FastMath.scalb(1.0, 100);
+ Vector3DDS big1 = new Vector3DDS(scale, v1);
+ Vector3DDS small2 = new Vector3DDS(1 / scale, v2);
+ checkVector(Vector3DDS.crossProduct(big1, small2), -1, 2, 1);
+
+ }
+
+ @Test
+ public void testAngular() {
+ Assert.assertEquals(0, createVector(1, 0, 0, 3).getAlpha().getValue(), 1.0e-10);
+ Assert.assertEquals(0, createVector(1, 0, 0, 3).getDelta().getValue(), 1.0e-10);
+ Assert.assertEquals(FastMath.PI / 2, createVector(0, 1, 0, 3).getAlpha().getValue(), 1.0e-10);
+ Assert.assertEquals(0, createVector(0, 1, 0, 3).getDelta().getValue(), 1.0e-10);
+ Assert.assertEquals(FastMath.PI / 2, createVector(0, 0, 1, 3).getDelta().getValue(), 1.0e-10);
+
+ Vector3DDS u = createVector(-1, 1, -1, 3);
+ Assert.assertEquals(3 * FastMath.PI /4, u.getAlpha().getValue(), 1.0e-10);
+ Assert.assertEquals(-1.0 / FastMath.sqrt(3), u.getDelta().sin().getValue(), 1.0e-10);
+ }
+
+ @Test
+ public void testAngularSeparation() throws MathArithmeticException {
+ Vector3DDS v1 = createVector(2, -1, 4, 3);
+
+ Vector3DDS k = v1.normalize();
+ Vector3DDS i = k.orthogonal();
+ Vector3DDS v2 = k.scalarMultiply(FastMath.cos(1.2)).add(i.scalarMultiply(FastMath.sin(1.2)));
+
+ Assert.assertTrue(FastMath.abs(Vector3DDS.angle(v1, v2).getValue() - 1.2) < 1.0e-12);
+ }
+
+ @Test
+ public void testNormalize() throws MathArithmeticException {
+ Assert.assertEquals(1.0, createVector(5, -4, 2, 3).normalize().getNorm().getValue(), 1.0e-12);
+ try {
+ createVector(0, 0, 0, 3).normalize();
+ Assert.fail("an exception should have been thrown");
+ } catch (MathArithmeticException ae) {
+ // expected behavior
+ }
+ }
+
+ @Test
+ public void testNegate() {
+ checkVector(createVector(0.1, 2.5, 1.3, 3).negate(),
+ -0.1, -2.5, -1.3, -1, 0, 0, 0, -1, 0, 0, 0, -1);
+ }
+
+ @Test
+ public void testOrthogonal() throws MathArithmeticException {
+ Vector3DDS v1 = createVector(0.1, 2.5, 1.3, 3);
+ Assert.assertEquals(0.0, Vector3DDS.dotProduct(v1, v1.orthogonal()).getValue(), 1.0e-12);
+ Vector3DDS v2 = createVector(2.3, -0.003, 7.6, 3);
+ Assert.assertEquals(0.0, Vector3DDS.dotProduct(v2, v2.orthogonal()).getValue(), 1.0e-12);
+ Vector3DDS v3 = createVector(-1.7, 1.4, 0.2, 3);
+ Assert.assertEquals(0.0, Vector3DDS.dotProduct(v3, v3.orthogonal()).getValue(), 1.0e-12);
+ Vector3DDS v4 = createVector(4.2, 0.1, -1.8, 3);
+ Assert.assertEquals(0.0, Vector3DDS.dotProduct(v4, v4.orthogonal()).getValue(), 1.0e-12);
+ try {
+ createVector(0, 0, 0, 3).orthogonal();
+ Assert.fail("an exception should have been thrown");
+ } catch (MathArithmeticException ae) {
+ // expected behavior
+ }
+ }
+
+ @Test
+ public void testAngle() throws MathArithmeticException {
+ Assert.assertEquals(0.22572612855273393616,
+ Vector3DDS.angle(createVector(1, 2, 3, 3), createVector(4, 5, 6, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(7.98595620686106654517199e-8,
+ Vector3DDS.angle(createVector(1, 2, 3, 3), createVector(2, 4, 6.000001, 3)).getValue(),
+ 1.0e-12);
+ Assert.assertEquals(3.14159257373023116985197793156,
+ Vector3DDS.angle(createVector(1, 2, 3, 3), createVector(-2, -4, -6.000001, 3)).getValue(),
+ 1.0e-12);
+ try {
+ Vector3DDS.angle(createVector(0, 0, 0, 3), createVector(1, 0, 0, 3));
+ Assert.fail("an exception should have been thrown");
+ } catch (MathArithmeticException ae) {
+ // expected behavior
+ }
+ }
+
+ @Test
+ public void testAccurateDotProduct() {
+ // the following two vectors are nearly but not exactly orthogonal
+ // naive dot product (i.e. computing u1.x * u2.x + u1.y * u2.y + u1.z * u2.z
+ // leads to a result of 0.0, instead of the correct -1.855129...
+ Vector3DDS u1 = createVector(-1321008684645961.0 / 268435456.0,
+ -5774608829631843.0 / 268435456.0,
+ -7645843051051357.0 / 8589934592.0, 3);
+ Vector3DDS u2 = createVector(-5712344449280879.0 / 2097152.0,
+ -4550117129121957.0 / 2097152.0,
+ 8846951984510141.0 / 131072.0, 3);
+ DerivativeStructure sNaive = u1.getX().multiply(u2.getX()).add(u1.getY().multiply(u2.getY())).add(u1.getZ().multiply(u2.getZ()));
+ DerivativeStructure sAccurate = u1.dotProduct(u2);
+ Assert.assertEquals(0.0, sNaive.getValue(), 1.0e-30);
+ Assert.assertEquals(-2088690039198397.0 / 1125899906842624.0, sAccurate.getValue(), 1.0e-16);
+ }
+
+ @Test
+ public void testDotProduct() {
+ // we compare accurate versus naive dot product implementations
+ // on regular vectors (i.e. not extreme cases like in the previous test)
+ Well1024a random = new Well1024a(553267312521321234l);
+ for (int i = 0; i < 10000; ++i) {
+ double ux = 10000 * random.nextDouble();
+ double uy = 10000 * random.nextDouble();
+ double uz = 10000 * random.nextDouble();
+ double vx = 10000 * random.nextDouble();
+ double vy = 10000 * random.nextDouble();
+ double vz = 10000 * random.nextDouble();
+ double sNaive = ux * vx + uy * vy + uz * vz;
+
+ Vector3DDS uds = createVector(ux, uy, uz, 3);
+ Vector3DDS vds = createVector(vx, vy, vz, 3);
+ Vector3D v = new Vector3D(vx, vy, vz);
+
+ DerivativeStructure sAccurate = Vector3DDS.dotProduct(uds, vds);
+ Assert.assertEquals(sNaive, sAccurate.getValue(), 2.5e-16 * sNaive);
+ Assert.assertEquals(ux + vx, sAccurate.getPartialDerivative(1, 0, 0), 2.5e-16 * sNaive);
+ Assert.assertEquals(uy + vy, sAccurate.getPartialDerivative(0, 1, 0), 2.5e-16 * sNaive);
+ Assert.assertEquals(uz + vz, sAccurate.getPartialDerivative(0, 0, 1), 2.5e-16 * sNaive);
+
+ sAccurate = Vector3DDS.dotProduct(uds, v);
+ Assert.assertEquals(sNaive, sAccurate.getValue(), 2.5e-16 * sNaive);
+ Assert.assertEquals(vx, sAccurate.getPartialDerivative(1, 0, 0), 2.5e-16 * sNaive);
+ Assert.assertEquals(vy, sAccurate.getPartialDerivative(0, 1, 0), 2.5e-16 * sNaive);
+ Assert.assertEquals(vz, sAccurate.getPartialDerivative(0, 0, 1), 2.5e-16 * sNaive);
+
+ sAccurate = Vector3DDS.dotProduct(v, uds);
+ Assert.assertEquals(sNaive, sAccurate.getValue(), 2.5e-16 * sNaive);
+ Assert.assertEquals(vx, sAccurate.getPartialDerivative(1, 0, 0), 2.5e-16 * sNaive);
+ Assert.assertEquals(vy, sAccurate.getPartialDerivative(0, 1, 0), 2.5e-16 * sNaive);
+ Assert.assertEquals(vz, sAccurate.getPartialDerivative(0, 0, 1), 2.5e-16 * sNaive);
+
+ }
+ }
+
+ @Test
+ public void testAccurateCrossProduct() {
+ // the vectors u1 and u2 are nearly but not exactly anti-parallel
+ // (7.31e-16 degrees from 180 degrees) naive cross product (i.e.
+ // computing u1.x * u2.x + u1.y * u2.y + u1.z * u2.z
+ // leads to a result of [0.0009765, -0.0001220, -0.0039062],
+ // instead of the correct [0.0006913, -0.0001254, -0.0007909]
+ final Vector3DDS u1 = createVector(-1321008684645961.0 / 268435456.0,
+ -5774608829631843.0 / 268435456.0,
+ -7645843051051357.0 / 8589934592.0, 3);
+ final Vector3DDS u2 = createVector( 1796571811118507.0 / 2147483648.0,
+ 7853468008299307.0 / 2147483648.0,
+ 2599586637357461.0 / 17179869184.0, 3);
+ final Vector3DDS u3 = createVector(12753243807587107.0 / 18446744073709551616.0,
+ -2313766922703915.0 / 18446744073709551616.0,
+ -227970081415313.0 / 288230376151711744.0, 3);
+ Vector3DDS cNaive = new Vector3DDS(u1.getY().multiply(u2.getZ()).subtract(u1.getZ().multiply(u2.getY())),
+ u1.getZ().multiply(u2.getX()).subtract(u1.getX().multiply(u2.getZ())),
+ u1.getX().multiply(u2.getY()).subtract(u1.getY().multiply(u2.getX())));
+ Vector3DDS cAccurate = u1.crossProduct(u2);
+ Assert.assertTrue(u3.distance(cNaive).getValue() > 2.9 * u3.getNorm().getValue());
+ Assert.assertEquals(0.0, u3.distance(cAccurate).getValue(), 1.0e-30 * cAccurate.getNorm().getValue());
+ }
+
+ @Test
+ public void testCrossProduct() {
+ // we compare accurate versus naive cross product implementations
+ // on regular vectors (i.e. not extreme cases like in the previous test)
+ Well1024a random = new Well1024a(885362227452043214l);
+ for (int i = 0; i < 10000; ++i) {
+ double ux = random.nextDouble();
+ double uy = random.nextDouble();
+ double uz = random.nextDouble();
+ double vx = random.nextDouble();
+ double vy = random.nextDouble();
+ double vz = random.nextDouble();
+ Vector3D cNaive = new Vector3D(uy * vz - uz * vy, uz * vx - ux * vz, ux * vy - uy * vx);
+
+ Vector3DDS uds = createVector(ux, uy, uz, 3);
+ Vector3DDS vds = createVector(vx, vy, vz, 3);
+ Vector3D v = new Vector3D(vx, vy, vz);
+
+ checkVector(Vector3DDS.crossProduct(uds, vds),
+ cNaive.getX(), cNaive.getY(), cNaive.getZ(),
+ 0, vz - uz, uy - vy,
+ uz - vz, 0, vx - ux,
+ vy - uy, ux - vx, 0);
+
+ checkVector(Vector3DDS.crossProduct(uds, v),
+ cNaive.getX(), cNaive.getY(), cNaive.getZ(),
+ 0, vz, -vy,
+ -vz, 0, vx,
+ vy, -vx, 0);
+
+ checkVector(Vector3DDS.crossProduct(v, uds),
+ -cNaive.getX(), -cNaive.getY(), -cNaive.getZ(),
+ 0, -vz, vy,
+ vz, 0, -vx,
+ -vy, vx, 0);
+
+ }
+ }
+
+ private Vector3DDS createVector(double x, double y, double z, int params) {
+ return new Vector3DDS(new DerivativeStructure(params, 1, 0, x),
+ new DerivativeStructure(params, 1, 1, y),
+ new DerivativeStructure(params, 1, 2, z));
+ }
+
+ private void checkVector(Vector3DDS v, double x, double y, double z) {
+ Assert.assertEquals(x, v.getX().getValue(), 1.0e-12);
+ Assert.assertEquals(y, v.getY().getValue(), 1.0e-12);
+ Assert.assertEquals(z, v.getZ().getValue(), 1.0e-12);
+ }
+
+ private void checkVector(Vector3DDS v, double x, double y, double z,
+ double dxdx, double dxdy, double dxdz,
+ double dydx, double dydy, double dydz,
+ double dzdx, double dzdy, double dzdz) {
+ Assert.assertEquals(x, v.getX().getValue(), 1.0e-12);
+ Assert.assertEquals(y, v.getY().getValue(), 1.0e-12);
+ Assert.assertEquals(z, v.getZ().getValue(), 1.0e-12);
+ Assert.assertEquals(dxdx, v.getX().getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(dxdy, v.getX().getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(dxdz, v.getX().getPartialDerivative(0, 0, 1), 1.0e-12);
+ Assert.assertEquals(dydx, v.getY().getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(dydy, v.getY().getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(dydz, v.getY().getPartialDerivative(0, 0, 1), 1.0e-12);
+ Assert.assertEquals(dzdx, v.getZ().getPartialDerivative(1, 0, 0), 1.0e-12);
+ Assert.assertEquals(dzdy, v.getZ().getPartialDerivative(0, 1, 0), 1.0e-12);
+ Assert.assertEquals(dzdz, v.getZ().getPartialDerivative(0, 0, 1), 1.0e-12);
+ }
+
+ private void checkVector(Vector3DDS v, double x, double y, double z,
+ double dxdx, double dxdy, double dxdz, double dxdt,
+ double dydx, double dydy, double dydz, double dydt,
+ double dzdx, double dzdy, double dzdz, double dzdt) {
+ Assert.assertEquals(x, v.getX().getValue(), 1.0e-12);
+ Assert.assertEquals(y, v.getY().getValue(), 1.0e-12);
+ Assert.assertEquals(z, v.getZ().getValue(), 1.0e-12);
+ Assert.assertEquals(dxdx, v.getX().getPartialDerivative(1, 0, 0, 0), 1.0e-12);
+ Assert.assertEquals(dxdy, v.getX().getPartialDerivative(0, 1, 0, 0), 1.0e-12);
+ Assert.assertEquals(dxdz, v.getX().getPartialDerivative(0, 0, 1, 0), 1.0e-12);
+ Assert.assertEquals(dxdt, v.getX().getPartialDerivative(0, 0, 0, 1), 1.0e-12);
+ Assert.assertEquals(dydx, v.getY().getPartialDerivative(1, 0, 0, 0), 1.0e-12);
+ Assert.assertEquals(dydy, v.getY().getPartialDerivative(0, 1, 0, 0), 1.0e-12);
+ Assert.assertEquals(dydz, v.getY().getPartialDerivative(0, 0, 1, 0), 1.0e-12);
+ Assert.assertEquals(dydt, v.getY().getPartialDerivative(0, 0, 0, 1), 1.0e-12);
+ Assert.assertEquals(dzdx, v.getZ().getPartialDerivative(1, 0, 0, 0), 1.0e-12);
+ Assert.assertEquals(dzdy, v.getZ().getPartialDerivative(0, 1, 0, 0), 1.0e-12);
+ Assert.assertEquals(dzdz, v.getZ().getPartialDerivative(0, 0, 1, 0), 1.0e-12);
+ Assert.assertEquals(dzdt, v.getZ().getPartialDerivative(0, 0, 0, 1), 1.0e-12);
+ }
+
+}
Propchange: commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/euclidean/threed/Vector3DDSTest.java
------------------------------------------------------------------------------
svn:eol-style = native
Propchange: commons/proper/math/trunk/src/test/java/org/apache/commons/math3/geometry/euclidean/threed/Vector3DDSTest.java
------------------------------------------------------------------------------
svn:keywords = "Author Date Id Revision"