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The Apache Commons Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.

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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 org.apache.commons.math3.geometry.Point;
import org.apache.commons.math3.geometry.partitioning.Hyperplane;

/** This class represents a 1D oriented hyperplane on the circle.
 * 

An hyperplane on the 1-sphere is an angle with an orientation.

*

Instances of this class are guaranteed to be immutable.

* @since 3.3 */ public class LimitAngle implements Hyperplane { /** Angle location. */ private S1Point location; /** Orientation. */ private boolean direct; /** Tolerance below which angles are considered identical. */ private final double tolerance; /** Simple constructor. * @param location location of the hyperplane * @param direct if true, the plus side of the hyperplane is towards * angles greater than {@code location} * @param tolerance tolerance below which angles are considered identical */ public LimitAngle(final S1Point location, final boolean direct, final double tolerance) { this.location = location; this.direct = direct; this.tolerance = tolerance; } /** Copy the instance. *

Since instances are immutable, this method directly returns * the instance.

* @return the instance itself */ public LimitAngle copySelf() { return this; } /** {@inheritDoc} */ public double getOffset(final Point point) { final double delta = ((S1Point) point).getAlpha() - location.getAlpha(); return direct ? delta : -delta; } /** Check if the hyperplane orientation is direct. * @return true if the plus side of the hyperplane is towards * angles greater than hyperplane location */ public boolean isDirect() { return direct; } /** Get the reverse of the instance. *

Get a limit angle with reversed orientation with respect to the * instance. A new object is built, the instance is untouched.

* @return a new limit angle, with orientation opposite to the instance orientation */ public LimitAngle getReverse() { return new LimitAngle(location, !direct, tolerance); } /** Build a region covering the whole hyperplane. *

Since this class represent zero dimension spaces which does * not have lower dimension sub-spaces, this method returns a dummy * implementation of a {@link * org.apache.commons.math3.geometry.partitioning.SubHyperplane SubHyperplane}. * This implementation is only used to allow the {@link * org.apache.commons.math3.geometry.partitioning.SubHyperplane * SubHyperplane} class implementation to work properly, it should * not be used otherwise.

* @return a dummy sub hyperplane */ public SubLimitAngle wholeHyperplane() { return new SubLimitAngle(this, null); } /** Build a region covering the whole space. * @return a region containing the instance (really an {@link * ArcsSet IntervalsSet} instance) */ public ArcsSet wholeSpace() { return new ArcsSet(tolerance); } /** {@inheritDoc} */ public boolean sameOrientationAs(final Hyperplane other) { return !(direct ^ ((LimitAngle) other).direct); } /** Get the hyperplane location on the circle. * @return the hyperplane location */ public S1Point getLocation() { return location; } /** {@inheritDoc} */ public Point project(Point point) { return location; } /** {@inheritDoc} */ public double getTolerance() { return tolerance; } }




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