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/* ========================================================================
* PlantUML : a free UML diagram generator
* ========================================================================
*
* (C) Copyright 2009-2020, Arnaud Roques
*
* Project Info: http://plantuml.com
*
* If you like this project or if you find it useful, you can support us at:
*
* http://plantuml.com/patreon (only 1$ per month!)
* http://plantuml.com/paypal
*
* This file is part of PlantUML.
*
* PlantUML is free software; you can redistribute it and/or modify it
* under the terms of the GNU 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 General Public
* License for more details.
*
* You should have received a copy of the GNU General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
* USA.
*
*
* Original Author: Arnaud Roques
*
*
*/
package net.sourceforge.plantuml.posimo;
import java.awt.Shape;
import java.awt.geom.CubicCurve2D;
import java.awt.geom.Dimension2D;
import java.awt.geom.Line2D;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
public class BezierUtils {
static public double getEndingAngle(final CubicCurve2D.Double left) {
if (left.getCtrlP2().equals(left.getP2())) {
return getAngle(left.getP1(), left.getP2());
}
return getAngle(left.getCtrlP2(), left.getP2());
}
static public double getStartingAngle(final CubicCurve2D.Double left) {
if (left.getP1().equals(left.getCtrlP1())) {
return getAngle(left.getP1(), left.getP2());
}
return getAngle(left.getP1(), left.getCtrlP1());
}
static double getAngle(Point2D p1, Point2D p2) {
if (p1.equals(p2)) {
throw new IllegalArgumentException();
}
return Math.atan2(p2.getY() - p1.getY(), p2.getX() - p1.getX());
}
static boolean isCutting(CubicCurve2D.Double bez, Shape shape) {
final boolean contains1 = shape.contains(bez.x1, bez.y1);
final boolean contains2 = shape.contains(bez.x2, bez.y2);
return contains1 ^ contains2;
}
static void shorten(CubicCurve2D.Double bez, Shape shape) {
final boolean contains1 = shape.contains(bez.x1, bez.y1);
final boolean contains2 = shape.contains(bez.x2, bez.y2);
if (contains1 ^ contains2 == false) {
throw new IllegalArgumentException();
}
if (contains1 == false) {
bez.setCurve(bez.x2, bez.y2, bez.ctrlx2, bez.ctrly2, bez.ctrlx1, bez.ctrly1, bez.x1, bez.y1);
}
assert shape.contains(bez.x1, bez.y1) && shape.contains(bez.x2, bez.y2) == false;
final CubicCurve2D.Double left = new CubicCurve2D.Double();
final CubicCurve2D.Double right = new CubicCurve2D.Double();
subdivide(bez, left, right, 0.5);
if (isCutting(left, shape) ^ isCutting(right, shape) == false) {
throw new IllegalArgumentException();
}
if (isCutting(left, shape)) {
bez.setCurve(left);
} else {
bez.setCurve(right);
}
}
private static void subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right, final double coef) {
final double coef1 = coef;
final double coef2 = 1 - coef;
final double centerxA = src.getCtrlX1() * coef1 + src.getCtrlX2() * coef2;
final double centeryA = src.getCtrlY1() * coef1 + src.getCtrlY2() * coef2;
final double x1 = src.getX1();
final double y1 = src.getY1();
final double x2 = src.getX2();
final double y2 = src.getY2();
final double ctrlx1 = x1 * coef1 + src.getCtrlX1() * coef1;
final double ctrly1 = y1 * coef1 + src.getCtrlY1() * coef1;
final double ctrlx2 = x2 * coef1 + src.getCtrlX2() * coef1;
final double ctrly2 = y2 * coef1 + src.getCtrlY2() * coef1;
final double ctrlx12 = ctrlx1 * coef1 + centerxA * coef1;
final double ctrly12 = ctrly1 * coef1 + centeryA * coef1;
final double ctrlx21 = ctrlx2 * coef1 + centerxA * coef1;
final double ctrly21 = ctrly2 * coef1 + centeryA * coef1;
final double centerxB = ctrlx12 * coef1 + ctrlx21 * coef1;
final double centeryB = ctrly12 * coef1 + ctrly21 * coef1;
left.setCurve(x1, y1, ctrlx1, ctrly1, ctrlx12, ctrly12, centerxB, centeryB);
right.setCurve(centerxB, centeryB, ctrlx21, ctrly21, ctrlx2, ctrly2, x2, y2);
}
static double dist(CubicCurve2D.Double seg) {
return Point2D.distance(seg.x1, seg.y1, seg.x2, seg.y2);
}
static double dist(Line2D.Double seg) {
return Point2D.distance(seg.x1, seg.y1, seg.x2, seg.y2);
}
static public Point2D middle(Line2D.Double seg) {
return new Point2D.Double((seg.x1 + seg.x2) / 2, (seg.y1 + seg.y2) / 2);
}
static public Point2D middle(Point2D p1, Point2D p2) {
return new Point2D.Double((p1.getX() + p2.getX()) / 2, (p1.getY() + p2.getY()) / 2);
}
public static Point2D intersect(Line2D.Double orig, Shape shape) {
final Line2D.Double copy = new Line2D.Double(orig.x1, orig.y1, orig.x2, orig.y2);
final boolean contains1 = shape.contains(copy.x1, copy.y1);
final boolean contains2 = shape.contains(copy.x2, copy.y2);
if (contains1 ^ contains2 == false) {
// return new Point2D.Double(orig.x2, orig.y2);
throw new IllegalArgumentException();
}
while (true) {
final double mx = (copy.x1 + copy.x2) / 2;
final double my = (copy.y1 + copy.y2) / 2;
final boolean containsMiddle = shape.contains(mx, my);
if (contains1 == containsMiddle) {
copy.x1 = mx;
copy.y1 = my;
} else {
copy.x2 = mx;
copy.y2 = my;
}
if (dist(copy) < 0.1) {
if (contains1) {
return new Point2D.Double(copy.x2, copy.y2);
}
if (contains2) {
return new Point2D.Double(copy.x1, copy.y1);
}
throw new IllegalStateException();
}
}
}
static public Rectangle2D toRectangle(Positionable p) {
final Point2D point = p.getPosition();
final Dimension2D dim = p.getSize();
return new Rectangle2D.Double(point.getX(), point.getY(), dim.getWidth(), dim.getHeight());
}
static public boolean intersect(Positionable p1, Positionable p2) {
return toRectangle(p1).intersects(toRectangle(p2));
}
static public Point2D.Double getCenter(Positionable p) {
return new Point2D.Double(toRectangle(p).getCenterX(), toRectangle(p).getCenterY());
}
}
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