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diff --git a/src/main/java/org/apache/commons/math3/geometry/spherical/twod/SubCircle.java b/src/main/java/org/apache/commons/math3/geometry/spherical/twod/SubCircle.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.spherical.twod;
+
+import org.apache.commons.math3.geometry.euclidean.threed.Vector3D;
+import org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane;
+import org.apache.commons.math3.geometry.partitioning.Hyperplane;
+import org.apache.commons.math3.geometry.partitioning.Region;
+import org.apache.commons.math3.geometry.spherical.oned.Arc;
+import org.apache.commons.math3.geometry.spherical.oned.ArcsSet;
+import org.apache.commons.math3.geometry.spherical.oned.Sphere1D;
+import org.apache.commons.math3.util.FastMath;
+
+/** This class represents a sub-hyperplane for {@link Circle}.
+ * @since 3.3
+ */
+public class SubCircle extends AbstractSubHyperplane<Sphere2D, Sphere1D> {
+
+ /** Simple constructor.
+ * @param hyperplane underlying hyperplane
+ * @param remainingRegion remaining region of the hyperplane
+ */
+ public SubCircle(final Hyperplane<Sphere2D> hyperplane,
+ final Region<Sphere1D> remainingRegion) {
+ super(hyperplane, remainingRegion);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ protected AbstractSubHyperplane<Sphere2D, Sphere1D> buildNew(final Hyperplane<Sphere2D> hyperplane,
+ final Region<Sphere1D> remainingRegion) {
+ return new SubCircle(hyperplane, remainingRegion);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public SplitSubHyperplane<Sphere2D> split(final Hyperplane<Sphere2D> hyperplane) {
+
+ final Circle thisCircle = (Circle) getHyperplane();
+ final Circle otherCircle = (Circle) hyperplane;
+ final double angle = Vector3D.angle(thisCircle.getPole(), otherCircle.getPole());
+
+ if (angle < thisCircle.getTolerance() || angle > FastMath.PI - thisCircle.getTolerance()) {
+ // the two circles are aligned or opposite
+ return new SplitSubHyperplane<Sphere2D>(null, null);
+ } else {
+ // the two circles intersect each other
+ final Arc arc = thisCircle.getInsideArc(otherCircle);
+ final ArcsSet.Split split = ((ArcsSet) getRemainingRegion()).split(arc);
+ final ArcsSet plus = split.getPlus();
+ final ArcsSet minus = split.getMinus();
+ return new SplitSubHyperplane<Sphere2D>(plus == null ? null : new SubCircle(thisCircle.copySelf(), plus),
+ minus == null ? null : new SubCircle(thisCircle.copySelf(), minus));
+ }
+
+ }
+
+}