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path: root/Algorithms/Part-I/3-Collinear/Fast.java
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/* vim: set expandtab tabstop=4 shiftwidth=4 : */

import java.util.List;
import java.util.ArrayList;
import java.util.Arrays;

public class Fast
{

    private static class Segment
    {
        private Point[] pts;

        public Segment(Point ref, Point[] origin, int start, int n)
        {
            this.pts = new Point[n];
            int i = 0;
            int j = start;
            boolean inserted = false;
            while (i < (n - 1))
            {
                if (!inserted && (ref.compareTo(origin[j]) < 0))
                {
                    pts[i++] = ref;
                    pts[i] = origin[j++];
                    inserted = true;
                }
                else
                    pts[i] = origin[j++];
                i++;
            }
            if (!inserted)
                pts[n - 1] = ref;
            else
                pts[n - 1] = origin[start + n - 2];
        }

        public boolean equals(Object other)
        {
            if (other == this) return true;
            if (other == null) return false;
            if (other.getClass() != this.getClass()) return false;
            Segment s = (Segment) other;
            if ((pts[0].compareTo(s.pts[0]) == 0)
                    || (pts[pts.length - 1].compareTo(s.pts[s.pts.length - 1]) == 0))
                    return true;
            return false;
        }

        public void draw()
        {
            pts[0].drawTo(pts[pts.length-1]);
        }

        public void print()
        {
            String out = "";
            for (Point p : pts)
                out += p+" -> ";
            StdOut.println(out.substring(0, (out.length() - 4)));
        }
    }

    private static List<Segment> solve(Point[] pts, int N)
    {
        List<Segment> segments = new ArrayList<Segment>();
        for (int i = 0; i < N - 1; i++)
        {
            int n = N - i - 1;
            Point ref = pts[i];
            Point[] others = new Point[n];

            for (int j = 0, k = i + 1; j < n; j++, k++)
                others[j] = pts[k];

            Arrays.sort(others, ref.SLOPE_ORDER);

            int start = -1;
            double slope = Double.NEGATIVE_INFINITY;
            for (int j = 0; j < n; j++)
            {
                double sl = ref.slopeTo(others[j]);
                if (sl == Double.NEGATIVE_INFINITY)
                    continue;

                if (slope != sl)
                {
                    if ((start != -1) && ((j - start) > 2))
                    {
                        Segment seg = new Segment(ref, others,
                                start, (j - start + 1));
                        if (!segments.contains(seg))
                            segments.add(seg);
                    }
                    slope = sl;
                    start = j;
                }

            }
            if ((n -  start) > 2)
            {
                Segment seg = new Segment(ref, others, start, (n - start + 1));
                if (!segments.contains(seg))
                    segments.add(seg);
            }
        }
        return segments;
    }

    public static void main(String[] args)
    {
        In in = new In(args[0]);
        int n = in.readInt();

        StdDraw.setXscale(0, 32768);
        StdDraw.setYscale(0, 32768);
        StdDraw.show(0);

        Point[] pts = new Point[n];
        for (int i = 0; i < n; i++)
        {
            pts[i] = new Point(in.readInt(), in.readInt());
            pts[i].draw();
        }
        Arrays.sort(pts);

        // Stopwatch w = new Stopwatch();

        for (Segment sol : solve(pts, n))
        {
            sol.draw();
            sol.print();
        }

        // StdOut.printf("Time: %f\n\n", w.elapsedTime());
        StdDraw.show(0);
    }
}