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Programming Assignment 3: Collinear Points (For Coursera's online course ~ Algorithms, Part I)
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import java.awt.Color; | |
import java.util.ArrayList; | |
import java.util.Arrays; | |
import java.util.HashMap; | |
import edu.princeton.cs.algs4.In; | |
import edu.princeton.cs.algs4.StdDraw; | |
import edu.princeton.cs.algs4.StdOut; | |
public class FastCollinearPoints { | |
// finds all line segments containing 4 or more points | |
private ArrayList<LineSegment> segments = new ArrayList<LineSegment>(); | |
private HashMap<Double, ArrayList<Point>> slopeEndPoints = new HashMap<Double, ArrayList<Point>>(); | |
public FastCollinearPoints(Point[] points) { | |
if (points == null) | |
throw new java.lang.NullPointerException("Null Pointer"); | |
// Arrays.sort(points); | |
Point[] ptsClone = points.clone(); | |
// the array is firstly sorted along the y-axis, | |
// this is for eliminating unnecessary "look back", such as p->r (p.y < r.y), | |
Arrays.sort(ptsClone); | |
check(ptsClone); | |
// there's no need to look back r->p. | |
for (int i = 0; i < points.length - 3; i++) { | |
Point[] pts = Arrays.copyOfRange(ptsClone, i, points.length); | |
Arrays.sort(pts, pts[0].slopeOrder()); | |
int first = 1, last = 2; | |
for (; last < pts.length; last++) { | |
double slope = pts[0].slopeTo(pts[first]); | |
while (last < pts.length && | |
Double.compare(slope, pts[0].slopeTo(pts[last])) == 0) last++; | |
if (last - first >= 3) { | |
if (endPointAvailable(slope, pts, last - 1)) | |
segments.add(new LineSegment(pts[0], pts[last - 1])); | |
} | |
first = last; | |
} | |
} | |
} | |
private boolean endPointAvailable(double slope, Point[] pts, int end) { | |
ArrayList<Point> ends = this.slopeEndPoints.get(slope); | |
if (ends == null) { | |
ends = new ArrayList<Point>(); | |
ends.add(pts[end]); | |
this.slopeEndPoints.put(slope, ends); | |
return true; | |
} else if (ends.contains(pts[end])) return false; | |
else { | |
ends.add(ends.size(), pts[end]); | |
this.slopeEndPoints.put(slope, ends); | |
return true; | |
} | |
} | |
// the number of line segments | |
public int numberOfSegments() { | |
return segments.size(); | |
} | |
// the line segments | |
public LineSegment[] segments() { | |
return segments.toArray(new LineSegment[segments.size()]); | |
} | |
private void check(Point[] points) { | |
// the following only applies to already sorted array of points, say sorted by y-axis | |
for (int i = 0; i < points.length - 1; i++) | |
if (points[i] == null) | |
throw new java.lang.NullPointerException("Null Pointer inside points at index " + i); | |
else if (points[i].compareTo(points[i + 1]) == 0) | |
throw new IllegalArgumentException("Array has duplicate points"); | |
} | |
public static void main(String[] args) { | |
// read the N points from a file | |
In in = new In(args[0]); | |
int N = in.readInt(); | |
Point[] points = new Point[N]; | |
for (int i = 0; i < N; i++) { | |
int x = in.readInt(); | |
int y = in.readInt(); | |
points[i] = new Point(x, y); | |
} | |
// draw the points | |
StdDraw.show(0); | |
StdDraw.setXscale(0, 32768); | |
StdDraw.setYscale(0, 32768); | |
StdDraw.setPenRadius(0.015); | |
StdDraw.setPenColor(Color.BLUE); | |
for (Point p : points) { | |
p.draw(); | |
} | |
StdDraw.show(); | |
// print and draw the line segments | |
FastCollinearPoints collinear = new FastCollinearPoints(points); | |
for (LineSegment segment : collinear.segments()) { | |
StdOut.println(segment); | |
StdDraw.setPenRadius(0.005); | |
StdDraw.setPenColor(Color.GREEN); | |
segment.draw(); | |
} | |
} | |
} |
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i think HashMap is not allowed fr this assgn