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Java example source code file (FieldElement.java)

This example Java source code file (FieldElement.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

field, fieldelement, matharithmeticexception, nullargumentexception

The FieldElement.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;

import org.apache.commons.math3.exception.MathArithmeticException;
import org.apache.commons.math3.exception.NullArgumentException;


/**
 * Interface representing <a href="http://mathworld.wolfram.com/Field.html">field elements.
 * @param <T> the type of the field elements
 * @see Field
 * @since 2.0
 */
public interface FieldElement<T> {

    /** Compute this + a.
     * @param a element to add
     * @return a new element representing this + a
     * @throws NullArgumentException if {@code a} is {@code null}.
     */
    T add(T a) throws NullArgumentException;

    /** Compute this - a.
     * @param a element to subtract
     * @return a new element representing this - a
     * @throws NullArgumentException if {@code a} is {@code null}.
     */
    T subtract(T a) throws NullArgumentException;

    /**
     * Returns the additive inverse of {@code this} element.
     * @return the opposite of {@code this}.
     */
    T negate();

    /** Compute n × this. Multiplication by an integer number is defined
     * as the following sum
     * <center>
     * n × this = ∑<sub>i=1n this.
     * </center>
     * @param n Number of times {@code this} must be added to itself.
     * @return A new element representing n × this.
     */
    T multiply(int n);

    /** Compute this × a.
     * @param a element to multiply
     * @return a new element representing this × a
     * @throws NullArgumentException if {@code a} is {@code null}.
     */
    T multiply(T a) throws NullArgumentException;

    /** Compute this ÷ a.
     * @param a element to divide by
     * @return a new element representing this ÷ a
     * @throws NullArgumentException if {@code a} is {@code null}.
     * @throws MathArithmeticException if {@code a} is zero
     */
    T divide(T a) throws NullArgumentException, MathArithmeticException;

    /**
     * Returns the multiplicative inverse of {@code this} element.
     * @return the inverse of {@code this}.
     * @throws MathArithmeticException if {@code this} is zero
     */
    T reciprocal() throws MathArithmeticException;

    /** Get the {@link Field} to which the instance belongs.
     * @return {@link Field} to which the instance belongs
     */
    Field<T> getField();
}

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