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diff --git a/src/main/java/org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.java b/src/main/java/org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.java
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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.euclidean.twod;
+
+import java.io.Serializable;
+
+import org.apache.commons.math3.geometry.Space;
+import org.apache.commons.math3.geometry.euclidean.oned.Euclidean1D;
+
+/**
+ * This class implements a two-dimensional space.
+ * @since 3.0
+ */
+public class Euclidean2D implements Serializable, Space {
+
+ /** Serializable version identifier. */
+ private static final long serialVersionUID = 4793432849757649566L;
+
+ /** Private constructor for the singleton.
+ */
+ private Euclidean2D() {
+ }
+
+ /** Get the unique instance.
+ * @return the unique instance
+ */
+ public static Euclidean2D getInstance() {
+ return LazyHolder.INSTANCE;
+ }
+
+ /** {@inheritDoc} */
+ public int getDimension() {
+ return 2;
+ }
+
+ /** {@inheritDoc} */
+ public Euclidean1D getSubSpace() {
+ return Euclidean1D.getInstance();
+ }
+
+ // CHECKSTYLE: stop HideUtilityClassConstructor
+ /** Holder for the instance.
+ * <p>We use here the Initialization On Demand Holder Idiom.</p>
+ */
+ private static class LazyHolder {
+ /** Cached field instance. */
+ private static final Euclidean2D INSTANCE = new Euclidean2D();
+ }
+ // CHECKSTYLE: resume HideUtilityClassConstructor
+
+ /** Handle deserialization of the singleton.
+ * @return the singleton instance
+ */
+ private Object readResolve() {
+ // return the singleton instance
+ return LazyHolder.INSTANCE;
+ }
+
+}