improved test coverage

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@574265 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Luc Maisonobe 2007-09-10 14:40:42 +00:00
parent 02a39b2078
commit f8b5350ec2
3 changed files with 309 additions and 16 deletions

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@ -0,0 +1,66 @@
/*
* 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 java.lang.reflect.Field;
import org.apache.commons.math.geometry.RotationOrder;
import junit.framework.*;
public class RotationOrderTest
extends TestCase {
public RotationOrderTest(String name) {
super(name);
}
public void testName() {
RotationOrder[] orders = {
RotationOrder.XYZ, RotationOrder.XZY, RotationOrder.YXZ,
RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX,
RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
};
for (int i = 0; i < orders.length; ++i) {
assertEquals(getFieldName(orders[i]), orders[i].toString());
}
}
private String getFieldName(RotationOrder order) {
try {
Field[] fields = RotationOrder.class.getFields();
for (int i = 0; i < fields.length; ++i) {
if (fields[i].get(null) == order) {
return fields[i].getName();
}
}
} catch (IllegalAccessException iae) {
// ignored
}
return "unknown";
}
public static Test suite() {
return new TestSuite(RotationOrderTest.class);
}
}

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@ -80,6 +80,17 @@ public class RotationTest
checkVector(r.getAxis(), Vector3D.plusJ);
checkAngle(r.getAngle(), Math.PI);
checkVector(new Rotation().getAxis(), Vector3D.plusI);
}
public void testRevert() {
Rotation r = new Rotation(0.001, 0.36, 0.48, 0.8, true);
Rotation reverted = r.revert();
checkRotation(r.applyTo(reverted), 1, 0, 0, 0);
checkRotation(reverted.applyTo(r), 1, 0, 0, 0);
assertEquals(r.getAngle(), reverted.getAngle(), 1.0e-12);
assertEquals(-1, Vector3D.dotProduct(r.getAxis(), reverted.getAxis()), 1.0e-12);
}
public void testVectorOnePair() {
@ -91,6 +102,14 @@ public class RotationTest
checkAngle(new Rotation(u, u.negate()).getAngle(), Math.PI);
try {
new Rotation(u, new Vector3D());
fail("an exception should have been thrown");
} catch (ArithmeticException e) {
} catch (Exception e) {
fail("unexpected exception");
}
}
public void testVectorTwoPairs() {
@ -112,11 +131,93 @@ public class RotationTest
}
checkAngle(r.getAngle(), Math.PI);
double sqrt = Math.sqrt(2) / 2;
r = new Rotation(Vector3D.plusI, Vector3D.plusJ,
new Vector3D(0.5, 0.5, sqrt),
new Vector3D(0.5, 0.5, -sqrt));
checkRotation(r, sqrt, 0.5, 0.5, 0);
r = new Rotation(u1, u2, u1, Vector3D.crossProduct(u1, u2));
checkRotation(r, sqrt, -sqrt, 0, 0);
checkRotation(new Rotation(u1, u2, u1, u2), 1, 0, 0, 0);
try {
new Rotation(u1, u2, new Vector3D(), v2);
fail("an exception should have been thrown");
} catch (ArithmeticException e) {
} catch (Exception e) {
fail("unexpected exception");
}
}
public void testMatrix()
throws NotARotationMatrixException {
try {
new Rotation(new double[][] {
{ 0.0, 1.0, 0.0 },
{ 1.0, 0.0, 0.0 }
}, 1.0e-7);
} catch (NotARotationMatrixException nrme) {
// expected behavior
} catch (Exception e) {
fail("wrong exception caught: " + e.getMessage());
}
try {
new Rotation(new double[][] {
{ 0.445888, 0.797184, -0.407040 },
{ 0.821760, -0.184320, 0.539200 },
{ -0.354816, 0.574912, 0.737280 }
}, 1.0e-7);
} catch (NotARotationMatrixException nrme) {
// expected behavior
} catch (Exception e) {
fail("wrong exception caught: " + e.getMessage());
}
try {
new Rotation(new double[][] {
{ 0.4, 0.8, -0.4 },
{ -0.4, 0.6, 0.7 },
{ 0.8, -0.2, 0.5 }
}, 1.0e-15);
} catch (NotARotationMatrixException nrme) {
// expected behavior
} catch (Exception e) {
fail("wrong exception caught: " + e.getMessage());
}
checkRotation(new Rotation(new double[][] {
{ 0.445888, 0.797184, -0.407040 },
{ -0.354816, 0.574912, 0.737280 },
{ 0.821760, -0.184320, 0.539200 }
}, 1.0e-10),
0.8, 0.288, 0.384, 0.36);
checkRotation(new Rotation(new double[][] {
{ 0.539200, 0.737280, 0.407040 },
{ 0.184320, -0.574912, 0.797184 },
{ 0.821760, -0.354816, -0.445888 }
}, 1.0e-10),
0.36, 0.8, 0.288, 0.384);
checkRotation(new Rotation(new double[][] {
{ -0.445888, 0.797184, -0.407040 },
{ 0.354816, 0.574912, 0.737280 },
{ 0.821760, 0.184320, -0.539200 }
}, 1.0e-10),
0.384, 0.36, 0.8, 0.288);
checkRotation(new Rotation(new double[][] {
{ -0.539200, 0.737280, 0.407040 },
{ -0.184320, -0.574912, 0.797184 },
{ 0.821760, 0.354816, 0.445888 }
}, 1.0e-10),
0.288, 0.384, 0.36, 0.8);
double[][] m1 = { { 0.0, 1.0, 0.0 },
{ 0.0, 0.0, 1.0 },
{ 1.0, 0.0, 0.0 } };
@ -209,17 +310,11 @@ public class RotationTest
RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX
};
RotationOrder[] EulerOrders = {
RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
};
for (int i = 0; i < CardanOrders.length; ++i) {
for (double alpha1 = 0.1; alpha1 < 6.2; alpha1 += 0.3) {
for (double alpha2 = -1.55; alpha2 < 1.55; alpha2 += 0.3) {
for (double alpha3 = 0.1; alpha3 < 6.2; alpha3 += 0.3) {
Rotation r = new Rotation(CardanOrders[i],
alpha1, alpha2, alpha3);
Rotation r = new Rotation(CardanOrders[i], alpha1, alpha2, alpha3);
double[] angles = r.getAngles(CardanOrders[i]);
checkAngle(angles[0], alpha1);
checkAngle(angles[1], alpha2);
@ -229,6 +324,11 @@ public class RotationTest
}
}
RotationOrder[] EulerOrders = {
RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
};
for (int i = 0; i < EulerOrders.length; ++i) {
for (double alpha1 = 0.1; alpha1 < 6.2; alpha1 += 0.3) {
for (double alpha2 = 0.05; alpha2 < 3.1; alpha2 += 0.3) {
@ -246,7 +346,54 @@ public class RotationTest
}
public void testSingularities()
throws CardanEulerSingularityException {
RotationOrder[] CardanOrders = {
RotationOrder.XYZ, RotationOrder.XZY, RotationOrder.YXZ,
RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX
};
double[] singularCardanAngle = { Math.PI / 2, -Math.PI / 2 };
for (int i = 0; i < CardanOrders.length; ++i) {
for (int j = 0; j < singularCardanAngle.length; ++j) {
Rotation r = new Rotation(CardanOrders[i], 0.1, singularCardanAngle[j], 0.3);
try {
r.getAngles(CardanOrders[i]);
fail("an exception should have been caught");
} catch (CardanEulerSingularityException cese) {
// expected behavior
} catch (Exception e) {
fail("wrong exception caught: " + e.getMessage());
}
}
}
RotationOrder[] EulerOrders = {
RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
};
double[] singularEulerAngle = { 0, Math.PI };
for (int i = 0; i < EulerOrders.length; ++i) {
for (int j = 0; j < singularEulerAngle.length; ++j) {
Rotation r = new Rotation(EulerOrders[i], 0.1, singularEulerAngle[j], 0.3);
try {
r.getAngles(EulerOrders[i]);
fail("an exception should have been caught");
} catch (CardanEulerSingularityException cese) {
// expected behavior
} catch (Exception e) {
fail("wrong exception caught: " + e.getMessage());
}
}
}
}
public void testQuaternion() {
Rotation r1 = new Rotation(new Vector3D(2, -3, 5), 1.7);
double n = 23.5;
Rotation r2 = new Rotation(n * r1.getQ0(), n * r1.getQ1(),
@ -260,6 +407,10 @@ public class RotationTest
}
}
}
r1 = new Rotation( 0.288, 0.384, 0.36, 0.8, false);
checkRotation(r1, -r1.getQ0(), -r1.getQ1(), -r1.getQ2(), -r1.getQ3());
}
public void testCompose() {
@ -343,6 +494,11 @@ public class RotationTest
assertTrue(Math.abs(a1 - a2) < 1.0e-10);
}
private void checkRotation(Rotation r, double q0, double q1, double q2, double q3) {
Rotation reference = new Rotation(q0, q1, q2, q3, false);
assertEquals(0, r.applyInverseTo(reference).getAngle(), 1.0e-12);
}
public static Test suite() {
return new TestSuite(RotationTest.class);
}

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@ -28,6 +28,24 @@ public class Vector3DTest
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.plusI,
-3, Vector3D.minusK),
2, 0, 3);
checkVector(new Vector3D(2, Vector3D.plusI,
5, Vector3D.plusJ,
-3, Vector3D.minusK),
2, 5, 3);
checkVector(new Vector3D(2, Vector3D.plusI,
5, Vector3D.plusJ,
5, Vector3D.minusJ,
-3, Vector3D.minusK),
2, 0, 3);
}
public void testCoordinates() {
Vector3D v = new Vector3D(1, 2, 3);
assertTrue(Math.abs(v.getX() - 1) < 1.0e-12);
@ -46,9 +64,10 @@ public class Vector3DTest
Vector3D v1 = new Vector3D(1, 2, 3);
Vector3D v2 = new Vector3D(-3, -2, -1);
v1 = v1.subtract(v2);
checkVector(v1, new Vector3D(4, 4, 4));
checkVector(v1, 4, 4, 4);
checkVector(v2.subtract(v1), new Vector3D(-7, -6, -5));
checkVector(v2.subtract(v1), -7, -6, -5);
checkVector(v2.subtract(3, v1), -15, -14, -13);
}
@ -56,18 +75,19 @@ public class Vector3DTest
Vector3D v1 = new Vector3D(1, 2, 3);
Vector3D v2 = new Vector3D(-3, -2, -1);
v1 = v1.add(v2);
checkVector(v1, new Vector3D(-2, 0, 2));
checkVector(v1, -2, 0, 2);
checkVector(v2.add(v1), new Vector3D(-5, -2, 1));
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.multiply(3);
checkVector(v, new Vector3D(3, 6, 9));
checkVector(v, 3, 6, 9);
checkVector(v.multiply(0.5), new Vector3D(1.5, 3, 4.5));
checkVector(v.multiply(0.5), 1.5, 3, 4.5);
}
@ -78,7 +98,7 @@ public class Vector3DTest
assertTrue(Math.abs(Vector3D.dotProduct(v1, v2) - 11) < 1.0e-12);
Vector3D v3 = Vector3D.crossProduct(v1, v2);
checkVector(v3, new Vector3D(3, -10, -1));
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);
@ -111,8 +131,59 @@ public class Vector3DTest
}
private void checkVector(Vector3D v1, Vector3D v2) {
assertTrue(v1.subtract(v2).getNorm() < 1.0e-12);
public void testNormalize() {
assertEquals(1.0, new Vector3D(5, -4, 2).normalize().getNorm(), 1.0e-12);
try {
new Vector3D().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(new Vector3D(), Vector3D.plusI);
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);
}
public static Test suite() {