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Java example source code file (SimplexTableauTest.java)

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

Learn more about this Java project at its project page.

Java - Java tags/keywords

arraylist, collection, linearconstraint, linearobjectivefunction, simplextableau, simplextableautest, test, util, wrong

The SimplexTableauTest.java Java example 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.math3.optim.linear;

import java.util.ArrayList;
import java.util.Collection;
import org.apache.commons.math3.TestUtils;
import org.apache.commons.math3.optim.nonlinear.scalar.GoalType;
import org.junit.Assert;
import org.junit.Test;

public class SimplexTableauTest {

    @Test
    public void testInitialization() {
        LinearObjectiveFunction f = createFunction();
        Collection<LinearConstraint> constraints = createConstraints();
        SimplexTableau tableau =
            new SimplexTableau(f, constraints, GoalType.MAXIMIZE, false, 1.0e-6);
        double[][] expectedInitialTableau = {
                                             {-1, 0,  -1,  -1,  2, 0, 0, 0, -4},
                                             { 0, 1, -15, -10, 25, 0, 0, 0,  0},
                                             { 0, 0,   1,   0, -1, 1, 0, 0,  2},
                                             { 0, 0,   0,   1, -1, 0, 1, 0,  3},
                                             { 0, 0,   1,   1, -2, 0, 0, 1,  4}
        };
        assertMatrixEquals(expectedInitialTableau, tableau.getData());
    }

    @Test
    public void testDropPhase1Objective() {
        LinearObjectiveFunction f = createFunction();
        Collection<LinearConstraint> constraints = createConstraints();
        SimplexTableau tableau =
            new SimplexTableau(f, constraints, GoalType.MAXIMIZE, false, 1.0e-6);
        double[][] expectedTableau = {
                                      { 1, -15, -10, 0, 0, 0, 0},
                                      { 0,   1,   0, 1, 0, 0, 2},
                                      { 0,   0,   1, 0, 1, 0, 3},
                                      { 0,   1,   1, 0, 0, 1, 4}
        };
        tableau.dropPhase1Objective();
        assertMatrixEquals(expectedTableau, tableau.getData());
    }

    @Test
    public void testTableauWithNoArtificialVars() {
        LinearObjectiveFunction f = new LinearObjectiveFunction(new double[] {15, 10}, 0);
        Collection<LinearConstraint> constraints = new ArrayList();
        constraints.add(new LinearConstraint(new double[] {1, 0}, Relationship.LEQ, 2));
        constraints.add(new LinearConstraint(new double[] {0, 1}, Relationship.LEQ, 3));
        constraints.add(new LinearConstraint(new double[] {1, 1}, Relationship.LEQ, 4));
        SimplexTableau tableau =
            new SimplexTableau(f, constraints, GoalType.MAXIMIZE, false, 1.0e-6);
        double[][] initialTableau = {
                                     {1, -15, -10, 25, 0, 0, 0, 0},
                                     {0,   1,   0, -1, 1, 0, 0, 2},
                                     {0,   0,   1, -1, 0, 1, 0, 3},
                                     {0,   1,   1, -2, 0, 0, 1, 4}
        };
        assertMatrixEquals(initialTableau, tableau.getData());
    }

    @Test
    public void testSerial() {
        LinearObjectiveFunction f = createFunction();
        Collection<LinearConstraint> constraints = createConstraints();
        SimplexTableau tableau =
            new SimplexTableau(f, constraints, GoalType.MAXIMIZE, false, 1.0e-6);
        Assert.assertEquals(tableau, TestUtils.serializeAndRecover(tableau));
    }

    private LinearObjectiveFunction createFunction() {
        return new LinearObjectiveFunction(new double[] {15, 10}, 0);
    }

    private Collection<LinearConstraint> createConstraints() {
        Collection<LinearConstraint> constraints = new ArrayList();
        constraints.add(new LinearConstraint(new double[] {1, 0}, Relationship.LEQ, 2));
        constraints.add(new LinearConstraint(new double[] {0, 1}, Relationship.LEQ, 3));
        constraints.add(new LinearConstraint(new double[] {1, 1}, Relationship.EQ, 4));
        return constraints;
    }

    private void assertMatrixEquals(double[][] expected, double[][] result) {
        Assert.assertEquals("Wrong number of rows.", expected.length, result.length);
        for (int i = 0; i < expected.length; i++) {
            Assert.assertEquals("Wrong number of columns.", expected[i].length, result[i].length);
            for (int j = 0; j < expected[i].length; j++) {
                Assert.assertEquals("Wrong value at position [" + i + "," + j + "]", expected[i][j], result[i][j], 1.0e-15);
            }
        }
    }
}

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