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+/*
+ * 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.optimization.linear;
+
+import java.io.IOException;
+import java.io.ObjectInputStream;
+import java.io.ObjectOutputStream;
+import java.io.Serializable;
+
+import org.apache.commons.math3.linear.MatrixUtils;
+import org.apache.commons.math3.linear.RealVector;
+import org.apache.commons.math3.linear.ArrayRealVector;
+
+
+/**
+ * A linear constraint for a linear optimization problem.
+ * <p>
+ * A linear constraint has one of the forms:
+ * <ul>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * </ul>
+ * The c<sub>i</sub>, l<sub>i</sub> or r<sub>i</sub> are the coefficients of the constraints, the x<sub>i</sub>
+ * are the coordinates of the current point and v is the value of the constraint.
+ * </p>
+ * @deprecated As of 3.1 (to be removed in 4.0).
+ * @since 2.0
+ */
+@Deprecated
+public class LinearConstraint implements Serializable {
+
+ /** Serializable version identifier. */
+ private static final long serialVersionUID = -764632794033034092L;
+
+ /** Coefficients of the constraint (left hand side). */
+ private final transient RealVector coefficients;
+
+ /** Relationship between left and right hand sides (=, &lt;=, >=). */
+ private final Relationship relationship;
+
+ /** Value of the constraint (right hand side). */
+ private final double value;
+
+ /**
+ * Build a constraint involving a single linear equation.
+ * <p>
+ * A linear constraint with a single linear equation has one of the forms:
+ * <ul>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
+ * </ul>
+ * </p>
+ * @param coefficients The coefficients of the constraint (left hand side)
+ * @param relationship The type of (in)equality used in the constraint
+ * @param value The value of the constraint (right hand side)
+ */
+ public LinearConstraint(final double[] coefficients, final Relationship relationship,
+ final double value) {
+ this(new ArrayRealVector(coefficients), relationship, value);
+ }
+
+ /**
+ * Build a constraint involving a single linear equation.
+ * <p>
+ * A linear constraint with a single linear equation has one of the forms:
+ * <ul>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
+ * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
+ * </ul>
+ * </p>
+ * @param coefficients The coefficients of the constraint (left hand side)
+ * @param relationship The type of (in)equality used in the constraint
+ * @param value The value of the constraint (right hand side)
+ */
+ public LinearConstraint(final RealVector coefficients, final Relationship relationship,
+ final double value) {
+ this.coefficients = coefficients;
+ this.relationship = relationship;
+ this.value = value;
+ }
+
+ /**
+ * Build a constraint involving two linear equations.
+ * <p>
+ * A linear constraint with two linear equation has one of the forms:
+ * <ul>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * </ul>
+ * </p>
+ * @param lhsCoefficients The coefficients of the linear expression on the left hand side of the constraint
+ * @param lhsConstant The constant term of the linear expression on the left hand side of the constraint
+ * @param relationship The type of (in)equality used in the constraint
+ * @param rhsCoefficients The coefficients of the linear expression on the right hand side of the constraint
+ * @param rhsConstant The constant term of the linear expression on the right hand side of the constraint
+ */
+ public LinearConstraint(final double[] lhsCoefficients, final double lhsConstant,
+ final Relationship relationship,
+ final double[] rhsCoefficients, final double rhsConstant) {
+ double[] sub = new double[lhsCoefficients.length];
+ for (int i = 0; i < sub.length; ++i) {
+ sub[i] = lhsCoefficients[i] - rhsCoefficients[i];
+ }
+ this.coefficients = new ArrayRealVector(sub, false);
+ this.relationship = relationship;
+ this.value = rhsConstant - lhsConstant;
+ }
+
+ /**
+ * Build a constraint involving two linear equations.
+ * <p>
+ * A linear constraint with two linear equation has one of the forms:
+ * <ul>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
+ * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
+ * </ul>
+ * </p>
+ * @param lhsCoefficients The coefficients of the linear expression on the left hand side of the constraint
+ * @param lhsConstant The constant term of the linear expression on the left hand side of the constraint
+ * @param relationship The type of (in)equality used in the constraint
+ * @param rhsCoefficients The coefficients of the linear expression on the right hand side of the constraint
+ * @param rhsConstant The constant term of the linear expression on the right hand side of the constraint
+ */
+ public LinearConstraint(final RealVector lhsCoefficients, final double lhsConstant,
+ final Relationship relationship,
+ final RealVector rhsCoefficients, final double rhsConstant) {
+ this.coefficients = lhsCoefficients.subtract(rhsCoefficients);
+ this.relationship = relationship;
+ this.value = rhsConstant - lhsConstant;
+ }
+
+ /**
+ * Get the coefficients of the constraint (left hand side).
+ * @return coefficients of the constraint (left hand side)
+ */
+ public RealVector getCoefficients() {
+ return coefficients;
+ }
+
+ /**
+ * Get the relationship between left and right hand sides.
+ * @return relationship between left and right hand sides
+ */
+ public Relationship getRelationship() {
+ return relationship;
+ }
+
+ /**
+ * Get the value of the constraint (right hand side).
+ * @return value of the constraint (right hand side)
+ */
+ public double getValue() {
+ return value;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public boolean equals(Object other) {
+
+ if (this == other) {
+ return true;
+ }
+
+ if (other instanceof LinearConstraint) {
+ LinearConstraint rhs = (LinearConstraint) other;
+ return (relationship == rhs.relationship) &&
+ (value == rhs.value) &&
+ coefficients.equals(rhs.coefficients);
+ }
+ return false;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public int hashCode() {
+ return relationship.hashCode() ^
+ Double.valueOf(value).hashCode() ^
+ coefficients.hashCode();
+ }
+
+ /**
+ * Serialize the instance.
+ * @param oos stream where object should be written
+ * @throws IOException if object cannot be written to stream
+ */
+ private void writeObject(ObjectOutputStream oos)
+ throws IOException {
+ oos.defaultWriteObject();
+ MatrixUtils.serializeRealVector(coefficients, oos);
+ }
+
+ /**
+ * Deserialize the instance.
+ * @param ois stream from which the object should be read
+ * @throws ClassNotFoundException if a class in the stream cannot be found
+ * @throws IOException if object cannot be read from the stream
+ */
+ private void readObject(ObjectInputStream ois)
+ throws ClassNotFoundException, IOException {
+ ois.defaultReadObject();
+ MatrixUtils.deserializeRealVector(this, "coefficients", ois);
+ }
+
+}