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PlantUML is a component that allows to quickly write diagrams from text.
There is a newer version: 1.2024.8
// THIS FILE HAS BEEN GENERATED BY A PREPROCESSOR.
/* +=======================================================================
 * |
 * |      PlantUML : a free UML diagram generator
 * |
 * +=======================================================================
 *
 * (C) Copyright 2009-2024, Arnaud Roques
 *
 * Project Info:  https://plantuml.com
 *
 * If you like this project or if you find it useful, you can support us at:
 *
 * https://plantuml.com/patreon (only 1$ per month!)
 * https://plantuml.com/liberapay (only 1€ per month!)
 * https://plantuml.com/paypal
 *
 *
 * PlantUML is free software; you can redistribute it and/or modify it
 * under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * PlantUML distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
 * License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public License
 * along with this library.  If not, see .
 *
 * PlantUML can occasionally display sponsored or advertising messages. Those
 * messages are usually generated on welcome or error images and never on
 * functional diagrams.
 * See https://plantuml.com/professional if you want to remove them
 *
 * Images (whatever their format : PNG, SVG, EPS...) generated by running PlantUML
 * are owned by the author of their corresponding sources code (that is, their
 * textual description in PlantUML language). Those images are not covered by
 * this LGPL license.
 *
 * The generated images can then be used without any reference to the LGPL license.
 * It is not even necessary to stipulate that they have been generated with PlantUML,
 * although this will be appreciated by the PlantUML team.
 *
 * There is an exception : if the textual description in PlantUML language is also covered
 * by any license, then the generated images are logically covered
 * by the very same license.
 *
 * This is the IGY distribution (Install GraphViz by Yourself).
 * You have to install GraphViz and to setup the GRAPHVIZ_DOT environment variable
 * (see https://plantuml.com/graphviz-dot )
 *
 * Icons provided by OpenIconic :  https://useiconic.com/open
 * Archimate sprites provided by Archi :  http://www.archimatetool.com
 * Stdlib AWS provided by https://github.com/milo-minderbinder/AWS-PlantUML
 * Stdlib Icons provided https://github.com/tupadr3/plantuml-icon-font-sprites
 * ASCIIMathML (c) Peter Jipsen http://www.chapman.edu/~jipsen
 * ASCIIMathML (c) David Lippman http://www.pierce.ctc.edu/dlippman
 * CafeUndZopfli ported by Eugene Klyuchnikov https://github.com/eustas/CafeUndZopfli
 * Brotli (c) by the Brotli Authors https://github.com/google/brotli
 * Themes (c) by Brett Schwarz https://github.com/bschwarz/puml-themes
 * Twemoji (c) by Twitter at https://twemoji.twitter.com/
 *
 */
package net.sourceforge.plantuml.svek.image;

import net.sourceforge.plantuml.klimt.geom.XPoint2D;
import net.sourceforge.plantuml.klimt.shape.UEllipse;

public class RotatedEllipse {

	private final UEllipse ellipse;
	private final double beta;

	public RotatedEllipse(UEllipse ellipse, double beta) {
		this.ellipse = ellipse;
		this.beta = beta;
	}

	public double getA() {
		return ellipse.getWidth() / 2;
	}

	public double getB() {
		return ellipse.getHeight() / 2;
	}

	public double getBeta() {
		return beta;
	}

	public XPoint2D getPoint(double theta) {
		final double x = getA() * Math.cos(theta);
		final double y = getB() * Math.sin(theta);

		final double xp = x * Math.cos(beta) - y * Math.sin(beta);
		final double yp = x * Math.sin(beta) + y * Math.cos(beta);

		return new XPoint2D(xp, yp);
	}

	public double getOtherTheta(double theta1) {
		final double z = getPoint(theta1).getX();
		final double a = getA() * Math.cos(beta);
		final double b = getB() * Math.sin(beta);
		final double sum = 2 * a * z / (a * a + b * b);
		final double other = sum - Math.cos(theta1);
		return -Math.acos(other);
	}

	private double other(double[] all, double some) {
		final double diff0 = Math.abs(some - all[0]);
		final double diff1 = Math.abs(some - all[1]);

		if (diff0 > diff1) {
			return all[0];
		}
		return all[1];
	}

}