/*
* 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.linear;
import java.io.Serializable;
import java.lang.reflect.Array;
import java.util.Arrays;
import org.apache.commons.math3.Field;
import org.apache.commons.math3.FieldElement;
import org.apache.commons.math3.TestUtils;
import org.apache.commons.math3.exception.MathIllegalArgumentException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;
import org.apache.commons.math3.exception.OutOfRangeException;
import org.apache.commons.math3.fraction.Fraction;
import org.apache.commons.math3.fraction.FractionField;
import org.junit.Assert;
import org.junit.Test;
/**
* Test cases for the {@link ArrayFieldVector} class.
*
*/
public class ArrayFieldVectorTest {
//
protected Fraction[][] ma1 = {
{new Fraction(1), new Fraction(2), new Fraction(3)},
{new Fraction(4), new Fraction(5), new Fraction(6)},
{new Fraction(7), new Fraction(8), new Fraction(9)}
};
protected Fraction[] vec1 = {new Fraction(1), new Fraction(2), new Fraction(3)};
protected Fraction[] vec2 = {new Fraction(4), new Fraction(5), new Fraction(6)};
protected Fraction[] vec3 = {new Fraction(7), new Fraction(8), new Fraction(9)};
protected Fraction[] vec4 = { new Fraction(1), new Fraction(2), new Fraction(3),
new Fraction(4), new Fraction(5), new Fraction(6),
new Fraction(7), new Fraction(8), new Fraction(9)};
protected Fraction[] vec_null = {Fraction.ZERO, Fraction.ZERO, Fraction.ZERO};
protected Fraction[] dvec1 = {new Fraction(1), new Fraction(2), new Fraction(3),
new Fraction(4), new Fraction(5), new Fraction(6),
new Fraction(7), new Fraction(8), new Fraction(9)};
protected Fraction[][] mat1 = {
{new Fraction(1), new Fraction(2), new Fraction(3)},
{new Fraction(4), new Fraction(5), new Fraction(6)},
{new Fraction(7), new Fraction(8), new Fraction(9)}
};
// Testclass to test the FieldVector<Fraction> interface
// only with enough content to support the test
public static class FieldVectorTestImpl<T extends FieldElement<T>>
implements FieldVector<T>, Serializable {
private static final long serialVersionUID = 3970959016014158539L;
private final Field<T> field;
/** Entries of the vector. */
protected T[] data;
/** Build an array of elements.
* @param length size of the array to build
* @return a new array
*/
@SuppressWarnings("unchecked") // field is of type T
private T[] buildArray(final int length) {
return (T[]) Array.newInstance(field.getRuntimeClass(), length);
}
public FieldVectorTestImpl(T[] d) {
field = d[0].getField();
data = d.clone();
}
public Field<T> getField() {
return field;
}
private UnsupportedOperationException unsupported() {
return new UnsupportedOperationException("Not supported, unneeded for test purposes");
}
public FieldVector<T> copy() {
throw unsupported();
}
public FieldVector<T> add(FieldVector<T> v) {
throw unsupported();
}
public FieldVector<T> add(T[] v) {
throw unsupported();
}
public FieldVector<T> subtract(FieldVector<T> v) {
throw unsupported();
}
public FieldVector<T> subtract(T[] v) {
throw unsupported();
}
public FieldVector<T> mapAdd(T d) {
throw unsupported();
}
public FieldVector<T> mapAddToSelf(T d) {
throw unsupported();
}
public FieldVector<T> mapSubtract(T d) {
throw unsupported();
}
public FieldVector<T> mapSubtractToSelf(T d) {
throw unsupported();
}
public FieldVector<T> mapMultiply(T d) {
T[] out = buildArray(data.length);
for (int i = 0; i < data.length; i++) {
out[i] = data[i].multiply(d);
}
return new FieldVectorTestImpl<T>(out);
}
public FieldVector<T> mapMultiplyToSelf(T d) {
throw unsupported();
}
public FieldVector<T> mapDivide(T d) {
throw unsupported();
}
public FieldVector<T> mapDivideToSelf(T d) {
throw unsupported();
}
public FieldVector<T> mapInv() {
throw unsupported();
}
public FieldVector<T> mapInvToSelf() {
throw unsupported();
}
public FieldVector<T> ebeMultiply(FieldVector<T> v) {
throw unsupported();
}
public FieldVector<T> ebeMultiply(T[] v) {
throw unsupported();
}
public FieldVector<T> ebeDivide(FieldVector<T> v) {
throw unsupported();
}
public FieldVector<T> ebeDivide(T[] v) {
throw unsupported();
}
public T[] getData() {
return data.clone();
}
public T dotProduct(FieldVector<T> v) {
T dot = field.getZero();
for (int i = 0; i < data.length; i++) {
dot = dot.add(data[i].multiply(v.getEntry(i)));
}
return dot;
}
public T dotProduct(T[] v) {
T dot = field.getZero();
for (int i = 0; i < data.length; i++) {
dot = dot.add(data[i].multiply(v[i]));
}
return dot;
}
public FieldVector<T> projection(FieldVector<T> v) {
throw unsupported();
}
public FieldVector<T> projection(T[] v) {
throw unsupported();
}
public FieldMatrix<T> outerProduct(FieldVector<T> v) {
throw unsupported();
}
public FieldMatrix<T> outerProduct(T[] v) {
throw unsupported();
}
public T getEntry(int index) {
return data[index];
}
public int getDimension() {
return data.length;
}
public FieldVector<T> append(FieldVector<T> v) {
throw unsupported();
}
public FieldVector<T> append(T d) {
throw unsupported();
}
public FieldVector<T> append(T[] a) {
throw unsupported();
}
public FieldVector<T> getSubVector(int index, int n) {
throw unsupported();
}
public void setEntry(int index, T value) {
throw unsupported();
}
public void setSubVector(int index, FieldVector<T> v) {
throw unsupported();
}
public void setSubVector(int index, T[] v) {
throw unsupported();
}
public void set(T value) {
throw unsupported();
}
public T[] toArray() {
return data.clone();
}
}
@Test
public void testConstructors() {
ArrayFieldVector<Fraction> v0 = new ArrayFieldVector<Fraction>(FractionField.getInstance());
Assert.assertEquals(0, v0.getDimension());
ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), 7);
Assert.assertEquals(7, v1.getDimension());
Assert.assertEquals(Fraction.ZERO, v1.getEntry(6));
ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(5, new Fraction(123, 100));
Assert.assertEquals(5, v2.getDimension());
Assert.assertEquals(new Fraction(123, 100), v2.getEntry(4));
ArrayFieldVector<Fraction> v3 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), vec1);
Assert.assertEquals(3, v3.getDimension());
Assert.assertEquals(new Fraction(2), v3.getEntry(1));
ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), vec4, 3, 2);
Assert.assertEquals(2, v4.getDimension());
Assert.assertEquals(new Fraction(4), v4.getEntry(0));
try {
new ArrayFieldVector<Fraction>(vec4, 8, 3);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
FieldVector<Fraction> v5_i = new ArrayFieldVector<Fraction>(dvec1);
Assert.assertEquals(9, v5_i.getDimension());
Assert.assertEquals(new Fraction(9), v5_i.getEntry(8));
ArrayFieldVector<Fraction> v5 = new ArrayFieldVector<Fraction>(dvec1);
Assert.assertEquals(9, v5.getDimension());
Assert.assertEquals(new Fraction(9), v5.getEntry(8));
ArrayFieldVector<Fraction> v6 = new ArrayFieldVector<Fraction>(dvec1, 3, 2);
Assert.assertEquals(2, v6.getDimension());
Assert.assertEquals(new Fraction(4), v6.getEntry(0));
try {
new ArrayFieldVector<Fraction>(dvec1, 8, 3);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> v7 = new ArrayFieldVector<Fraction>(v1);
Assert.assertEquals(7, v7.getDimension());
Assert.assertEquals(Fraction.ZERO, v7.getEntry(6));
FieldVectorTestImpl<Fraction> v7_i = new FieldVectorTestImpl<Fraction>(vec1);
ArrayFieldVector<Fraction> v7_2 = new ArrayFieldVector<Fraction>(v7_i);
Assert.assertEquals(3, v7_2.getDimension());
Assert.assertEquals(new Fraction(2), v7_2.getEntry(1));
ArrayFieldVector<Fraction> v8 = new ArrayFieldVector<Fraction>(v1, true);
Assert.assertEquals(7, v8.getDimension());
Assert.assertEquals(Fraction.ZERO, v8.getEntry(6));
Assert.assertNotSame("testData not same object ", v1.getDataRef(), v8.getDataRef());
ArrayFieldVector<Fraction> v8_2 = new ArrayFieldVector<Fraction>(v1, false);
Assert.assertEquals(7, v8_2.getDimension());
Assert.assertEquals(Fraction.ZERO, v8_2.getEntry(6));
Assert.assertArrayEquals(v1.getDataRef(), v8_2.getDataRef());
ArrayFieldVector<Fraction> v9 = new ArrayFieldVector<Fraction>((FieldVector<Fraction>) v1, (FieldVector<Fraction>) v3);
Assert.assertEquals(10, v9.getDimension());
Assert.assertEquals(new Fraction(1), v9.getEntry(7));
}
@Test
public void testDataInOut() {
ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1);
ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(vec2);
ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(vec4);
FieldVectorTestImpl<Fraction> v2_t = new FieldVectorTestImpl<Fraction>(vec2);
FieldVector<Fraction> v_append_1 = v1.append(v2);
Assert.assertEquals(6, v_append_1.getDimension());
Assert.assertEquals(new Fraction(4), v_append_1.getEntry(3));
FieldVector<Fraction> v_append_2 = v1.append(new Fraction(2));
Assert.assertEquals(4, v_append_2.getDimension());
Assert.assertEquals(new Fraction(2), v_append_2.getEntry(3));
FieldVector<Fraction> v_append_4 = v1.append(v2_t);
Assert.assertEquals(6, v_append_4.getDimension());
Assert.assertEquals(new Fraction(4), v_append_4.getEntry(3));
FieldVector<Fraction> v_copy = v1.copy();
Assert.assertEquals(3, v_copy.getDimension());
Assert.assertNotSame("testData not same object ", v1.getDataRef(), v_copy.toArray());
Fraction[] a_frac = v1.toArray();
Assert.assertEquals(3, a_frac.length);
Assert.assertNotSame("testData not same object ", v1.getDataRef(), a_frac);
// ArrayFieldVector<Fraction> vout4 = (ArrayFieldVector<Fraction>) v1.clone();
// Assert.assertEquals(3, vout4.getDimension());
// Assert.assertEquals(v1.getDataRef(), vout4.getDataRef());
FieldVector<Fraction> vout5 = v4.getSubVector(3, 3);
Assert.assertEquals(3, vout5.getDimension());
Assert.assertEquals(new Fraction(5), vout5.getEntry(1));
try {
v4.getSubVector(3, 7);
Assert.fail("OutOfRangeException expected");
} catch (OutOfRangeException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> v_set1 = (ArrayFieldVector<Fraction>) v1.copy();
v_set1.setEntry(1, new Fraction(11));
Assert.assertEquals(new Fraction(11), v_set1.getEntry(1));
try {
v_set1.setEntry(3, new Fraction(11));
Assert.fail("OutOfRangeException expected");
} catch (OutOfRangeException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> v_set2 = (ArrayFieldVector<Fraction>) v4.copy();
v_set2.set(3, v1);
Assert.assertEquals(new Fraction(1), v_set2.getEntry(3));
Assert.assertEquals(new Fraction(7), v_set2.getEntry(6));
try {
v_set2.set(7, v1);
Assert.fail("OutOfRangeException expected");
} catch (OutOfRangeException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> v_set3 = (ArrayFieldVector<Fraction>) v1.copy();
v_set3.set(new Fraction(13));
Assert.assertEquals(new Fraction(13), v_set3.getEntry(2));
try {
v_set3.getEntry(23);
Assert.fail("ArrayIndexOutOfBoundsException expected");
} catch (ArrayIndexOutOfBoundsException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> v_set4 = (ArrayFieldVector<Fraction>) v4.copy();
v_set4.setSubVector(3, v2_t);
Assert.assertEquals(new Fraction(4), v_set4.getEntry(3));
Assert.assertEquals(new Fraction(7), v_set4.getEntry(6));
try {
v_set4.setSubVector(7, v2_t);
Assert.fail("OutOfRangeException expected");
} catch (OutOfRangeException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> vout10 = (ArrayFieldVector<Fraction>) v1.copy();
ArrayFieldVector<Fraction> vout10_2 = (ArrayFieldVector<Fraction>) v1.copy();
Assert.assertEquals(vout10, vout10_2);
vout10_2.setEntry(0, new Fraction(11, 10));
Assert.assertNotSame(vout10, vout10_2);
}
@Test
public void testMapFunctions() {
ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1);
//octave = v1 .+ 2.0
FieldVector<Fraction> v_mapAdd = v1.mapAdd(new Fraction(2));
Fraction[] result_mapAdd = {new Fraction(3), new Fraction(4), new Fraction(5)};
checkArray("compare vectors" ,result_mapAdd,v_mapAdd.toArray());
//octave = v1 .+ 2.0
FieldVector<Fraction> v_mapAddToSelf = v1.copy();
v_mapAddToSelf.mapAddToSelf(new Fraction(2));
Fraction[] result_mapAddToSelf = {new Fraction(3), new Fraction(4), new Fraction(5)};
checkArray("compare vectors" ,result_mapAddToSelf,v_mapAddToSelf.toArray());
//octave = v1 .- 2.0
FieldVector<Fraction> v_mapSubtract = v1.mapSubtract(new Fraction(2));
Fraction[] result_mapSubtract = {new Fraction(-1), Fraction.ZERO, new Fraction(1)};
checkArray("compare vectors" ,result_mapSubtract,v_mapSubtract.toArray());
//octave = v1 .- 2.0
FieldVector<Fraction> v_mapSubtractToSelf = v1.copy();
v_mapSubtractToSelf.mapSubtractToSelf(new Fraction(2));
Fraction[] result_mapSubtractToSelf = {new Fraction(-1), Fraction.ZERO, new Fraction(1)};
checkArray("compare vectors" ,result_mapSubtractToSelf,v_mapSubtractToSelf.toArray());
//octave = v1 .* 2.0
FieldVector<Fraction> v_mapMultiply = v1.mapMultiply(new Fraction(2));
Fraction[] result_mapMultiply = {new Fraction(2), new Fraction(4), new Fraction(6)};
checkArray("compare vectors" ,result_mapMultiply,v_mapMultiply.toArray());
//octave = v1 .* 2.0
FieldVector<Fraction> v_mapMultiplyToSelf = v1.copy();
v_mapMultiplyToSelf.mapMultiplyToSelf(new Fraction(2));
Fraction[] result_mapMultiplyToSelf = {new Fraction(2), new Fraction(4), new Fraction(6)};
checkArray("compare vectors" ,result_mapMultiplyToSelf,v_mapMultiplyToSelf.toArray());
//octave = v1 ./ 2.0
FieldVector<Fraction> v_mapDivide = v1.mapDivide(new Fraction(2));
Fraction[] result_mapDivide = {new Fraction(1, 2), new Fraction(1), new Fraction(3, 2)};
checkArray("compare vectors" ,result_mapDivide,v_mapDivide.toArray());
//octave = v1 ./ 2.0
FieldVector<Fraction> v_mapDivideToSelf = v1.copy();
v_mapDivideToSelf.mapDivideToSelf(new Fraction(2));
Fraction[] result_mapDivideToSelf = {new Fraction(1, 2), new Fraction(1), new Fraction(3, 2)};
checkArray("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.toArray());
//octave = v1 .^-1
FieldVector<Fraction> v_mapInv = v1.mapInv();
Fraction[] result_mapInv = {new Fraction(1),new Fraction(1, 2),new Fraction(1, 3)};
checkArray("compare vectors" ,result_mapInv,v_mapInv.toArray());
//octave = v1 .^-1
FieldVector<Fraction> v_mapInvToSelf = v1.copy();
v_mapInvToSelf.mapInvToSelf();
Fraction[] result_mapInvToSelf = {new Fraction(1),new Fraction(1, 2),new Fraction(1, 3)};
checkArray("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.toArray());
}
@Test
public void testBasicFunctions() {
ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1);
ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(vec2);
new ArrayFieldVector<Fraction>(vec_null);
FieldVectorTestImpl<Fraction> v2_t = new FieldVectorTestImpl<Fraction>(vec2);
//octave = v1 + v2
ArrayFieldVector<Fraction> v_add = v1.add(v2);
Fraction[] result_add = {new Fraction(5), new Fraction(7), new Fraction(9)};
checkArray("compare vect" ,v_add.getData(),result_add);
FieldVectorTestImpl<Fraction> vt2 = new FieldVectorTestImpl<Fraction>(vec2);
FieldVector<Fraction> v_add_i = v1.add(vt2);
Fraction[] result_add_i = {new Fraction(5), new Fraction(7), new Fraction(9)};
checkArray("compare vect" ,v_add_i.toArray(),result_add_i);
//octave = v1 - v2
ArrayFieldVector<Fraction> v_subtract = v1.subtract(v2);
Fraction[] result_subtract = {new Fraction(-3), new Fraction(-3), new Fraction(-3)};
checkArray("compare vect" ,v_subtract.getData(),result_subtract);
FieldVector<Fraction> v_subtract_i = v1.subtract(vt2);
Fraction[] result_subtract_i = {new Fraction(-3), new Fraction(-3), new Fraction(-3)};
checkArray("compare vect" ,v_subtract_i.toArray(),result_subtract_i);
// octave v1 .* v2
ArrayFieldVector<Fraction> v_ebeMultiply = v1.ebeMultiply(v2);
Fraction[] result_ebeMultiply = {new Fraction(4), new Fraction(10), new Fraction(18)};
checkArray("compare vect" ,v_ebeMultiply.getData(),result_ebeMultiply);
FieldVector<Fraction> v_ebeMultiply_2 = v1.ebeMultiply(v2_t);
Fraction[] result_ebeMultiply_2 = {new Fraction(4), new Fraction(10), new Fraction(18)};
checkArray("compare vect" ,v_ebeMultiply_2.toArray(),result_ebeMultiply_2);
// octave v1 ./ v2
ArrayFieldVector<Fraction> v_ebeDivide = v1.ebeDivide(v2);
Fraction[] result_ebeDivide = {new Fraction(1, 4), new Fraction(2, 5), new Fraction(1, 2)};
checkArray("compare vect" ,v_ebeDivide.getData(),result_ebeDivide);
FieldVector<Fraction> v_ebeDivide_2 = v1.ebeDivide(v2_t);
Fraction[] result_ebeDivide_2 = {new Fraction(1, 4), new Fraction(2, 5), new Fraction(1, 2)};
checkArray("compare vect" ,v_ebeDivide_2.toArray(),result_ebeDivide_2);
// octave dot(v1,v2)
Fraction dot = v1.dotProduct(v2);
Assert.assertEquals("compare val ",new Fraction(32), dot);
// octave dot(v1,v2_t)
Fraction dot_2 = v1.dotProduct(v2_t);
Assert.assertEquals("compare val ",new Fraction(32), dot_2);
FieldMatrix<Fraction> m_outerProduct = v1.outerProduct(v2);
Assert.assertEquals("compare val ",new Fraction(4), m_outerProduct.getEntry(0,0));
FieldMatrix<Fraction> m_outerProduct_2 = v1.outerProduct(v2_t);
Assert.assertEquals("compare val ",new Fraction(4), m_outerProduct_2.getEntry(0,0));
ArrayFieldVector<Fraction> v_projection = v1.projection(v2);
Fraction[] result_projection = {new Fraction(128, 77), new Fraction(160, 77), new Fraction(192, 77)};
checkArray("compare vect", v_projection.getData(), result_projection);
FieldVector<Fraction> v_projection_2 = v1.projection(v2_t);
Fraction[] result_projection_2 = {new Fraction(128, 77), new Fraction(160, 77), new Fraction(192, 77)};
checkArray("compare vect", v_projection_2.toArray(), result_projection_2);
}
@Test
public void testMisc() {
ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1);
ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(vec4);
FieldVector<Fraction> v4_2 = new ArrayFieldVector<Fraction>(vec4);
String out1 = v1.toString();
Assert.assertTrue("some output ", out1.length()!=0);
/*
Fraction[] dout1 = v1.copyOut();
Assert.assertEquals(3, dout1.length);
assertNotSame("testData not same object ", v1.getDataRef(), dout1);
*/
try {
v1.checkVectorDimensions(2);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
try {
v1.checkVectorDimensions(v4);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
try {
v1.checkVectorDimensions(v4_2);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
}
@Test
public void testSerial() {
ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(vec1);
Assert.assertEquals(v,TestUtils.serializeAndRecover(v));
}
@Test
public void testZeroVectors() {
// when the field is not specified, array cannot be empty
try {
new ArrayFieldVector<Fraction>(new Fraction[0]);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
try {
new ArrayFieldVector<Fraction>(new Fraction[0], true);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
try {
new ArrayFieldVector<Fraction>(new Fraction[0], false);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
// when the field is specified, array can be empty
Assert.assertEquals(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), new Fraction[0]).getDimension());
Assert.assertEquals(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), new Fraction[0], true).getDimension());
Assert.assertEquals(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), new Fraction[0], false).getDimension());
}
@Test
public void testOuterProduct() {
final ArrayFieldVector<Fraction> u
= new ArrayFieldVector<Fraction>(FractionField.getInstance(),
new Fraction[] {new Fraction(1),
new Fraction(2),
new Fraction(-3)});
final ArrayFieldVector<Fraction> v
= new ArrayFieldVector<Fraction>(FractionField.getInstance(),
new Fraction[] {new Fraction(4),
new Fraction(-2)});
final FieldMatrix<Fraction> uv = u.outerProduct(v);
final double tol = Math.ulp(1d);
Assert.assertEquals(new Fraction(4).doubleValue(), uv.getEntry(0, 0).doubleValue(), tol);
Assert.assertEquals(new Fraction(-2).doubleValue(), uv.getEntry(0, 1).doubleValue(), tol);
Assert.assertEquals(new Fraction(8).doubleValue(), uv.getEntry(1, 0).doubleValue(), tol);
Assert.assertEquals(new Fraction(-4).doubleValue(), uv.getEntry(1, 1).doubleValue(), tol);
Assert.assertEquals(new Fraction(-12).doubleValue(), uv.getEntry(2, 0).doubleValue(), tol);
Assert.assertEquals(new Fraction(6).doubleValue(), uv.getEntry(2, 1).doubleValue(), tol);
}
/** verifies that two vectors are equals */
protected void checkArray(String msg, Fraction[] m, Fraction[] n) {
if (m.length != n.length) {
Assert.fail("vectors have different lengths");
}
for (int i = 0; i < m.length; i++) {
Assert.assertEquals(msg + " " + i + " elements differ", m[i],n[i]);
}
}
/*
* TESTS OF THE VISITOR PATTERN
*/
/** The whole vector is visited. */
@Test
public void testWalkInDefaultOrderPreservingVisitor1() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final FieldVectorPreservingVisitor<Fraction> visitor;
visitor = new FieldVectorPreservingVisitor<Fraction>() {
private int expectedIndex;
public void visit(final int actualIndex, final Fraction actualValue) {
Assert.assertEquals(expectedIndex, actualIndex);
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
++expectedIndex;
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(0, actualStart);
Assert.assertEquals(data.length - 1, actualEnd);
expectedIndex = 0;
}
public Fraction end() {
return Fraction.ZERO;
}
};
v.walkInDefaultOrder(visitor);
}
/** Visiting an invalid subvector. */
@Test
public void testWalkInDefaultOrderPreservingVisitor2() {
final ArrayFieldVector<Fraction> v = create(5);
final FieldVectorPreservingVisitor<Fraction> visitor;
visitor = new FieldVectorPreservingVisitor<Fraction>() {
public void visit(int index, Fraction value) {
// Do nothing
}
public void start(int dimension, int start, int end) {
// Do nothing
}
public Fraction end() {
return Fraction.ZERO;
}
};
try {
v.walkInDefaultOrder(visitor, -1, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 5, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 0, -1);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 0, 5);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 4, 0);
Assert.fail();
} catch (NumberIsTooSmallException e) {
// Expected behavior
}
}
/** Visiting a valid subvector. */
@Test
public void testWalkInDefaultOrderPreservingVisitor3() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final int expectedStart = 2;
final int expectedEnd = 7;
final FieldVectorPreservingVisitor<Fraction> visitor;
visitor = new FieldVectorPreservingVisitor<Fraction>() {
private int expectedIndex;
public void visit(final int actualIndex, final Fraction actualValue) {
Assert.assertEquals(expectedIndex, actualIndex);
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
++expectedIndex;
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(expectedStart, actualStart);
Assert.assertEquals(expectedEnd, actualEnd);
expectedIndex = expectedStart;
}
public Fraction end() {
return Fraction.ZERO;
}
};
v.walkInDefaultOrder(visitor, expectedStart, expectedEnd);
}
/** The whole vector is visited. */
@Test
public void testWalkInOptimizedOrderPreservingVisitor1() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final FieldVectorPreservingVisitor<Fraction> visitor;
visitor = new FieldVectorPreservingVisitor<Fraction>() {
private final boolean[] visited = new boolean[data.length];
public void visit(final int actualIndex, final Fraction actualValue) {
visited[actualIndex] = true;
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(0, actualStart);
Assert.assertEquals(data.length - 1, actualEnd);
Arrays.fill(visited, false);
}
public Fraction end() {
for (int i = 0; i < data.length; i++) {
Assert.assertTrue("entry " + i + "has not been visited",
visited[i]);
}
return Fraction.ZERO;
}
};
v.walkInOptimizedOrder(visitor);
}
/** Visiting an invalid subvector. */
@Test
public void testWalkInOptimizedOrderPreservingVisitor2() {
final ArrayFieldVector<Fraction> v = create(5);
final FieldVectorPreservingVisitor<Fraction> visitor;
visitor = new FieldVectorPreservingVisitor<Fraction>() {
public void visit(int index, Fraction value) {
// Do nothing
}
public void start(int dimension, int start, int end) {
// Do nothing
}
public Fraction end() {
return Fraction.ZERO;
}
};
try {
v.walkInOptimizedOrder(visitor, -1, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 5, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 0, -1);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 0, 5);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 4, 0);
Assert.fail();
} catch (NumberIsTooSmallException e) {
// Expected behavior
}
}
/** Visiting a valid subvector. */
@Test
public void testWalkInOptimizedOrderPreservingVisitor3() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final int expectedStart = 2;
final int expectedEnd = 7;
final FieldVectorPreservingVisitor<Fraction> visitor;
visitor = new FieldVectorPreservingVisitor<Fraction>() {
private final boolean[] visited = new boolean[data.length];
public void visit(final int actualIndex, final Fraction actualValue) {
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
visited[actualIndex] = true;
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(expectedStart, actualStart);
Assert.assertEquals(expectedEnd, actualEnd);
Arrays.fill(visited, true);
}
public Fraction end() {
for (int i = expectedStart; i <= expectedEnd; i++) {
Assert.assertTrue("entry " + i + "has not been visited",
visited[i]);
}
return Fraction.ZERO;
}
};
v.walkInOptimizedOrder(visitor, expectedStart, expectedEnd);
}
/** The whole vector is visited. */
@Test
public void testWalkInDefaultOrderChangingVisitor1() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final FieldVectorChangingVisitor<Fraction> visitor;
visitor = new FieldVectorChangingVisitor<Fraction>() {
private int expectedIndex;
public Fraction visit(final int actualIndex, final Fraction actualValue) {
Assert.assertEquals(expectedIndex, actualIndex);
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
++expectedIndex;
return actualValue.add(actualIndex);
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(0, actualStart);
Assert.assertEquals(data.length - 1, actualEnd);
expectedIndex = 0;
}
public Fraction end() {
return Fraction.ZERO;
}
};
v.walkInDefaultOrder(visitor);
for (int i = 0; i < data.length; i++) {
Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i));
}
}
/** Visiting an invalid subvector. */
@Test
public void testWalkInDefaultOrderChangingVisitor2() {
final ArrayFieldVector<Fraction> v = create(5);
final FieldVectorChangingVisitor<Fraction> visitor;
visitor = new FieldVectorChangingVisitor<Fraction>() {
public Fraction visit(int index, Fraction value) {
return Fraction.ZERO;
}
public void start(int dimension, int start, int end) {
// Do nothing
}
public Fraction end() {
return Fraction.ZERO;
}
};
try {
v.walkInDefaultOrder(visitor, -1, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 5, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 0, -1);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 0, 5);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInDefaultOrder(visitor, 4, 0);
Assert.fail();
} catch (NumberIsTooSmallException e) {
// Expected behavior
}
}
/** Visiting a valid subvector. */
@Test
public void testWalkInDefaultOrderChangingVisitor3() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final int expectedStart = 2;
final int expectedEnd = 7;
final FieldVectorChangingVisitor<Fraction> visitor;
visitor = new FieldVectorChangingVisitor<Fraction>() {
private int expectedIndex;
public Fraction visit(final int actualIndex, final Fraction actualValue) {
Assert.assertEquals(expectedIndex, actualIndex);
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
++expectedIndex;
return actualValue.add(actualIndex);
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(expectedStart, actualStart);
Assert.assertEquals(expectedEnd, actualEnd);
expectedIndex = expectedStart;
}
public Fraction end() {
return Fraction.ZERO;
}
};
v.walkInDefaultOrder(visitor, expectedStart, expectedEnd);
for (int i = expectedStart; i <= expectedEnd; i++) {
Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i));
}
}
/** The whole vector is visited. */
@Test
public void testWalkInOptimizedOrderChangingVisitor1() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final FieldVectorChangingVisitor<Fraction> visitor;
visitor = new FieldVectorChangingVisitor<Fraction>() {
private final boolean[] visited = new boolean[data.length];
public Fraction visit(final int actualIndex, final Fraction actualValue) {
visited[actualIndex] = true;
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
return actualValue.add(actualIndex);
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(0, actualStart);
Assert.assertEquals(data.length - 1, actualEnd);
Arrays.fill(visited, false);
}
public Fraction end() {
for (int i = 0; i < data.length; i++) {
Assert.assertTrue("entry " + i + "has not been visited",
visited[i]);
}
return Fraction.ZERO;
}
};
v.walkInOptimizedOrder(visitor);
for (int i = 0; i < data.length; i++) {
Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i));
}
}
/** Visiting an invalid subvector. */
@Test
public void testWalkInOptimizedOrderChangingVisitor2() {
final ArrayFieldVector<Fraction> v = create(5);
final FieldVectorChangingVisitor<Fraction> visitor;
visitor = new FieldVectorChangingVisitor<Fraction>() {
public Fraction visit(int index, Fraction value) {
return Fraction.ZERO;
}
public void start(int dimension, int start, int end) {
// Do nothing
}
public Fraction end() {
return Fraction.ZERO;
}
};
try {
v.walkInOptimizedOrder(visitor, -1, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 5, 4);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 0, -1);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 0, 5);
Assert.fail();
} catch (OutOfRangeException e) {
// Expected behavior
}
try {
v.walkInOptimizedOrder(visitor, 4, 0);
Assert.fail();
} catch (NumberIsTooSmallException e) {
// Expected behavior
}
}
/** Visiting a valid subvector. */
@Test
public void testWalkInOptimizedOrderChangingVisitor3() {
final Fraction[] data = new Fraction[] {
Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
Fraction.ZERO, Fraction.ZERO, new Fraction(3)
};
final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data);
final int expectedStart = 2;
final int expectedEnd = 7;
final FieldVectorChangingVisitor<Fraction> visitor;
visitor = new FieldVectorChangingVisitor<Fraction>() {
private final boolean[] visited = new boolean[data.length];
public Fraction visit(final int actualIndex, final Fraction actualValue) {
Assert.assertEquals(Integer.toString(actualIndex),
data[actualIndex], actualValue);
visited[actualIndex] = true;
return actualValue.add(actualIndex);
}
public void start(final int actualSize, final int actualStart,
final int actualEnd) {
Assert.assertEquals(data.length, actualSize);
Assert.assertEquals(expectedStart, actualStart);
Assert.assertEquals(expectedEnd, actualEnd);
Arrays.fill(visited, true);
}
public Fraction end() {
for (int i = expectedStart; i <= expectedEnd; i++) {
Assert.assertTrue("entry " + i + "has not been visited",
visited[i]);
}
return Fraction.ZERO;
}
};
v.walkInOptimizedOrder(visitor, expectedStart, expectedEnd);
for (int i = expectedStart; i <= expectedEnd; i++) {
Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i));
}
}
private ArrayFieldVector<Fraction> create(int n) {
Fraction[] t = new Fraction[n];
for (int i = 0; i < n; ++i) {
t[i] = Fraction.ZERO;
}
return new ArrayFieldVector<Fraction>(t);
}
}