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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.math;
/**
* Interface representing <a href="http://mathworld.wolfram.com/Field.html">field</a> elements.
* @param <T> the type of the field elements
* @see Field
* @version $Revision: 811685 $ $Date: 2009-09-05 19:36:48 +0200 (sam. 05 sept. 2009) $
* @since 2.0
*/
public interface FieldElement<T> {
/** Compute this + a.
* @param a element to add
* @return a new element representing this + a
*/
T add(T a);
/** Compute this - a.
* @param a element to subtract
* @return a new element representing this - a
*/
T subtract(T a);
/** Compute this × a.
* @param a element to multiply
* @return a new element representing this × a
*/
T multiply(T a);
/** Compute this ÷ a.
* @param a element to add
* @return a new element representing this ÷ a
* @exception ArithmeticException if a is the zero of the
* additive operation (i.e. additive identity)
*/
T divide(T a) throws ArithmeticException;
/** Get the {@link Field} to which the instance belongs.
* @return {@link Field} to which the instance belongs
*/
Field<T> getField();
}
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