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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.geometry.spherical.oned;

import java.io.Serializable;

import org.apache.commons.math3.exception.MathUnsupportedOperationException;
import org.apache.commons.math3.exception.util.LocalizedFormats;
import org.apache.commons.math3.geometry.Space;

/**
 * This class implements a one-dimensional sphere (i.e. a circle).
 * 

* We use here the topologists definition of the 1-sphere (see * Sphere on * MathWorld), i.e. the 1-sphere is the one-dimensional closed curve * defined in 2D as x2+y2=1. *

* @since 3.3 */ public class Sphere1D implements Serializable, Space { /** Serializable version identifier. */ private static final long serialVersionUID = 20131218L; /** Private constructor for the singleton. */ private Sphere1D() { } /** Get the unique instance. * @return the unique instance */ public static Sphere1D getInstance() { return LazyHolder.INSTANCE; } /** {@inheritDoc} */ public int getDimension() { return 1; } /** {@inheritDoc} *

* As the 1-dimension sphere does not have proper sub-spaces, * this method always throws a {@link NoSubSpaceException} *

* @return nothing * @throws NoSubSpaceException in all cases */ public Space getSubSpace() throws NoSubSpaceException { throw new NoSubSpaceException(); } // CHECKSTYLE: stop HideUtilityClassConstructor /** Holder for the instance. *

We use here the Initialization On Demand Holder Idiom.

*/ private static class LazyHolder { /** Cached field instance. */ private static final Sphere1D INSTANCE = new Sphere1D(); } // CHECKSTYLE: resume HideUtilityClassConstructor /** Handle deserialization of the singleton. * @return the singleton instance */ private Object readResolve() { // return the singleton instance return LazyHolder.INSTANCE; } /** Specialized exception for inexistent sub-space. *

* This exception is thrown when attempting to get the sub-space of a one-dimensional space *

*/ public static class NoSubSpaceException extends MathUnsupportedOperationException { /** Serializable UID. */ private static final long serialVersionUID = 20140225L; /** Simple constructor. */ public NoSubSpaceException() { super(LocalizedFormats.NOT_SUPPORTED_IN_DIMENSION_N, 1); } } }




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