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Java example source code file (Crossings.java)

This example Java source code file (Crossings.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

awt, crossings, curve, enumeration, evenodd, geometry, nonzero, util, vector

The Crossings.java Java example source code

/*
 * Copyright (c) 1998, 2003, Oracle and/or its affiliates. All rights reserved.
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is 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
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
 * or visit www.oracle.com if you need additional information or have any
 * questions.
 */

package sun.awt.geom;

import java.awt.geom.PathIterator;
import java.util.Vector;
import java.util.Enumeration;

public abstract class Crossings {
    public static final boolean debug = false;

    int limit = 0;
    double yranges[] = new double[10];

    double xlo, ylo, xhi, yhi;

    public Crossings(double xlo, double ylo, double xhi, double yhi) {
        this.xlo = xlo;
        this.ylo = ylo;
        this.xhi = xhi;
        this.yhi = yhi;
    }

    public final double getXLo() {
        return xlo;
    }

    public final double getYLo() {
        return ylo;
    }

    public final double getXHi() {
        return xhi;
    }

    public final double getYHi() {
        return yhi;
    }

    public abstract void record(double ystart, double yend, int direction);

    public void print() {
        System.out.println("Crossings [");
        System.out.println("  bounds = ["+ylo+", "+yhi+"]");
        for (int i = 0; i < limit; i += 2) {
            System.out.println("  ["+yranges[i]+", "+yranges[i+1]+"]");
        }
        System.out.println("]");
    }

    public final boolean isEmpty() {
        return (limit == 0);
    }

    public abstract boolean covers(double ystart, double yend);

    public static Crossings findCrossings(Vector curves,
                                          double xlo, double ylo,
                                          double xhi, double yhi)
    {
        Crossings cross = new EvenOdd(xlo, ylo, xhi, yhi);
        Enumeration enum_ = curves.elements();
        while (enum_.hasMoreElements()) {
            Curve c = (Curve) enum_.nextElement();
            if (c.accumulateCrossings(cross)) {
                return null;
            }
        }
        if (debug) {
            cross.print();
        }
        return cross;
    }

    public static Crossings findCrossings(PathIterator pi,
                                          double xlo, double ylo,
                                          double xhi, double yhi)
    {
        Crossings cross;
        if (pi.getWindingRule() == pi.WIND_EVEN_ODD) {
            cross = new EvenOdd(xlo, ylo, xhi, yhi);
        } else {
            cross = new NonZero(xlo, ylo, xhi, yhi);
        }
        // coords array is big enough for holding:
        //     coordinates returned from currentSegment (6)
        //     OR
        //         two subdivided quadratic curves (2+4+4=10)
        //         AND
        //             0-1 horizontal splitting parameters
        //             OR
        //             2 parametric equation derivative coefficients
        //     OR
        //         three subdivided cubic curves (2+6+6+6=20)
        //         AND
        //             0-2 horizontal splitting parameters
        //             OR
        //             3 parametric equation derivative coefficients
        double coords[] = new double[23];
        double movx = 0;
        double movy = 0;
        double curx = 0;
        double cury = 0;
        double newx, newy;
        while (!pi.isDone()) {
            int type = pi.currentSegment(coords);
            switch (type) {
            case PathIterator.SEG_MOVETO:
                if (movy != cury &&
                    cross.accumulateLine(curx, cury, movx, movy))
                {
                    return null;
                }
                movx = curx = coords[0];
                movy = cury = coords[1];
                break;
            case PathIterator.SEG_LINETO:
                newx = coords[0];
                newy = coords[1];
                if (cross.accumulateLine(curx, cury, newx, newy)) {
                    return null;
                }
                curx = newx;
                cury = newy;
                break;
            case PathIterator.SEG_QUADTO:
                newx = coords[2];
                newy = coords[3];
                if (cross.accumulateQuad(curx, cury, coords)) {
                    return null;
                }
                curx = newx;
                cury = newy;
                break;
            case PathIterator.SEG_CUBICTO:
                newx = coords[4];
                newy = coords[5];
                if (cross.accumulateCubic(curx, cury, coords)) {
                    return null;
                }
                curx = newx;
                cury = newy;
                break;
            case PathIterator.SEG_CLOSE:
                if (movy != cury &&
                    cross.accumulateLine(curx, cury, movx, movy))
                {
                    return null;
                }
                curx = movx;
                cury = movy;
                break;
            }
            pi.next();
        }
        if (movy != cury) {
            if (cross.accumulateLine(curx, cury, movx, movy)) {
                return null;
            }
        }
        if (debug) {
            cross.print();
        }
        return cross;
    }

    public boolean accumulateLine(double x0, double y0,
                                  double x1, double y1)
    {
        if (y0 <= y1) {
            return accumulateLine(x0, y0, x1, y1, 1);
        } else {
            return accumulateLine(x1, y1, x0, y0, -1);
        }
    }

    public boolean accumulateLine(double x0, double y0,
                                  double x1, double y1,
                                  int direction)
    {
        if (yhi <= y0 || ylo >= y1) {
            return false;
        }
        if (x0 >= xhi && x1 >= xhi) {
            return false;
        }
        if (y0 == y1) {
            return (x0 >= xlo || x1 >= xlo);
        }
        double xstart, ystart, xend, yend;
        double dx = (x1 - x0);
        double dy = (y1 - y0);
        if (y0 < ylo) {
            xstart = x0 + (ylo - y0) * dx / dy;
            ystart = ylo;
        } else {
            xstart = x0;
            ystart = y0;
        }
        if (yhi < y1) {
            xend = x0 + (yhi - y0) * dx / dy;
            yend = yhi;
        } else {
            xend = x1;
            yend = y1;
        }
        if (xstart >= xhi && xend >= xhi) {
            return false;
        }
        if (xstart > xlo || xend > xlo) {
            return true;
        }
        record(ystart, yend, direction);
        return false;
    }

    private Vector tmp = new Vector();

    public boolean accumulateQuad(double x0, double y0, double coords[]) {
        if (y0 < ylo && coords[1] < ylo && coords[3] < ylo) {
            return false;
        }
        if (y0 > yhi && coords[1] > yhi && coords[3] > yhi) {
            return false;
        }
        if (x0 > xhi && coords[0] > xhi && coords[2] > xhi) {
            return false;
        }
        if (x0 < xlo && coords[0] < xlo && coords[2] < xlo) {
            if (y0 < coords[3]) {
                record(Math.max(y0, ylo), Math.min(coords[3], yhi), 1);
            } else if (y0 > coords[3]) {
                record(Math.max(coords[3], ylo), Math.min(y0, yhi), -1);
            }
            return false;
        }
        Curve.insertQuad(tmp, x0, y0, coords);
        Enumeration enum_ = tmp.elements();
        while (enum_.hasMoreElements()) {
            Curve c = (Curve) enum_.nextElement();
            if (c.accumulateCrossings(this)) {
                return true;
            }
        }
        tmp.clear();
        return false;
    }

    public boolean accumulateCubic(double x0, double y0, double coords[]) {
        if (y0 < ylo && coords[1] < ylo &&
            coords[3] < ylo && coords[5] < ylo)
        {
            return false;
        }
        if (y0 > yhi && coords[1] > yhi &&
            coords[3] > yhi && coords[5] > yhi)
        {
            return false;
        }
        if (x0 > xhi && coords[0] > xhi &&
            coords[2] > xhi && coords[4] > xhi)
        {
            return false;
        }
        if (x0 < xlo && coords[0] < xlo &&
            coords[2] < xlo && coords[4] < xlo)
        {
            if (y0 <= coords[5]) {
                record(Math.max(y0, ylo), Math.min(coords[5], yhi), 1);
            } else {
                record(Math.max(coords[5], ylo), Math.min(y0, yhi), -1);
            }
            return false;
        }
        Curve.insertCubic(tmp, x0, y0, coords);
        Enumeration enum_ = tmp.elements();
        while (enum_.hasMoreElements()) {
            Curve c = (Curve) enum_.nextElement();
            if (c.accumulateCrossings(this)) {
                return true;
            }
        }
        tmp.clear();
        return false;
    }

    public final static class EvenOdd extends Crossings {
        public EvenOdd(double xlo, double ylo, double xhi, double yhi) {
            super(xlo, ylo, xhi, yhi);
        }

        public final boolean covers(double ystart, double yend) {
            return (limit == 2 && yranges[0] <= ystart && yranges[1] >= yend);
        }

        public void record(double ystart, double yend, int direction) {
            if (ystart >= yend) {
                return;
            }
            int from = 0;
            // Quickly jump over all pairs that are completely "above"
            while (from < limit && ystart > yranges[from+1]) {
                from += 2;
            }
            int to = from;
            while (from < limit) {
                double yrlo = yranges[from++];
                double yrhi = yranges[from++];
                if (yend < yrlo) {
                    // Quickly handle insertion of the new range
                    yranges[to++] = ystart;
                    yranges[to++] = yend;
                    ystart = yrlo;
                    yend = yrhi;
                    continue;
                }
                // The ranges overlap - sort, collapse, insert, iterate
                double yll, ylh, yhl, yhh;
                if (ystart < yrlo) {
                    yll = ystart;
                    ylh = yrlo;
                } else {
                    yll = yrlo;
                    ylh = ystart;
                }
                if (yend < yrhi) {
                    yhl = yend;
                    yhh = yrhi;
                } else {
                    yhl = yrhi;
                    yhh = yend;
                }
                if (ylh == yhl) {
                    ystart = yll;
                    yend = yhh;
                } else {
                    if (ylh > yhl) {
                        ystart = yhl;
                        yhl = ylh;
                        ylh = ystart;
                    }
                    if (yll != ylh) {
                        yranges[to++] = yll;
                        yranges[to++] = ylh;
                    }
                    ystart = yhl;
                    yend = yhh;
                }
                if (ystart >= yend) {
                    break;
                }
            }
            if (to < from && from < limit) {
                System.arraycopy(yranges, from, yranges, to, limit-from);
            }
            to += (limit-from);
            if (ystart < yend) {
                if (to >= yranges.length) {
                    double newranges[] = new double[to+10];
                    System.arraycopy(yranges, 0, newranges, 0, to);
                    yranges = newranges;
                }
                yranges[to++] = ystart;
                yranges[to++] = yend;
            }
            limit = to;
        }
    }

    public final static class NonZero extends Crossings {
        private int crosscounts[];

        public NonZero(double xlo, double ylo, double xhi, double yhi) {
            super(xlo, ylo, xhi, yhi);
            crosscounts = new int[yranges.length / 2];
        }

        public final boolean covers(double ystart, double yend) {
            int i = 0;
            while (i < limit) {
                double ylo = yranges[i++];
                double yhi = yranges[i++];
                if (ystart >= yhi) {
                    continue;
                }
                if (ystart < ylo) {
                    return false;
                }
                if (yend <= yhi) {
                    return true;
                }
                ystart = yhi;
            }
            return (ystart >= yend);
        }

        public void remove(int cur) {
            limit -= 2;
            int rem = limit - cur;
            if (rem > 0) {
                System.arraycopy(yranges, cur+2, yranges, cur, rem);
                System.arraycopy(crosscounts, cur/2+1,
                                 crosscounts, cur/2,
                                 rem/2);
            }
        }

        public void insert(int cur, double lo, double hi, int dir) {
            int rem = limit - cur;
            double oldranges[] = yranges;
            int oldcounts[] = crosscounts;
            if (limit >= yranges.length) {
                yranges = new double[limit+10];
                System.arraycopy(oldranges, 0, yranges, 0, cur);
                crosscounts = new int[(limit+10)/2];
                System.arraycopy(oldcounts, 0, crosscounts, 0, cur/2);
            }
            if (rem > 0) {
                System.arraycopy(oldranges, cur, yranges, cur+2, rem);
                System.arraycopy(oldcounts, cur/2,
                                 crosscounts, cur/2+1,
                                 rem/2);
            }
            yranges[cur+0] = lo;
            yranges[cur+1] = hi;
            crosscounts[cur/2] = dir;
            limit += 2;
        }

        public void record(double ystart, double yend, int direction) {
            if (ystart >= yend) {
                return;
            }
            int cur = 0;
            // Quickly jump over all pairs that are completely "above"
            while (cur < limit && ystart > yranges[cur+1]) {
                cur += 2;
            }
            if (cur < limit) {
                int rdir = crosscounts[cur/2];
                double yrlo = yranges[cur+0];
                double yrhi = yranges[cur+1];
                if (yrhi == ystart && rdir == direction) {
                    // Remove the range from the list and collapse it
                    // into the range being inserted.  Note that the
                    // new combined range may overlap the following range
                    // so we must not simply combine the ranges in place
                    // unless we are at the last range.
                    if (cur+2 == limit) {
                        yranges[cur+1] = yend;
                        return;
                    }
                    remove(cur);
                    ystart = yrlo;
                    rdir = crosscounts[cur/2];
                    yrlo = yranges[cur+0];
                    yrhi = yranges[cur+1];
                }
                if (yend < yrlo) {
                    // Just insert the new range at the current location
                    insert(cur, ystart, yend, direction);
                    return;
                }
                if (yend == yrlo && rdir == direction) {
                    // Just prepend the new range to the current one
                    yranges[cur] = ystart;
                    return;
                }
                // The ranges must overlap - (yend > yrlo && yrhi > ystart)
                if (ystart < yrlo) {
                    insert(cur, ystart, yrlo, direction);
                    cur += 2;
                    ystart = yrlo;
                } else if (yrlo < ystart) {
                    insert(cur, yrlo, ystart, rdir);
                    cur += 2;
                    yrlo = ystart;
                }
                // assert(yrlo == ystart);
                int newdir = rdir + direction;
                double newend = Math.min(yend, yrhi);
                if (newdir == 0) {
                    remove(cur);
                } else {
                    crosscounts[cur/2] = newdir;
                    yranges[cur++] = ystart;
                    yranges[cur++] = newend;
                }
                ystart = yrlo = newend;
                if (yrlo < yrhi) {
                    insert(cur, yrlo, yrhi, rdir);
                }
            }
            if (ystart < yend) {
                insert(cur, ystart, yend, direction);
            }
        }
    }
}

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