import java.awt.BorderLayout; import java.awt.Color; import java.awt.Dimension; import java.awt.Graphics; import java.awt.GridLayout; import java.io.FileInputStream; import java.io.FileOutputStream; import java.io.ObjectInputStream; import java.io.ObjectOutputStream; import java.util.ArrayDeque; import java.util.ArrayList; import java.util.Arrays; import java.util.HashSet; import javax.swing.JFrame; import javax.swing.JPanel; import javax.swing.JScrollPane; import java.util.concurrent.*; import java.util.concurrent.atomic.AtomicBoolean; final public class Solver extends JPanel { private static final long serialVersionUID = 1L; // The default size of the labyrinth (i.e. unless program is invoked with size arguments): private static final int DEFAULT_WIDTH_IN_CELLS = 100; private static final int DEFAULT_HEIGHT_IN_CELLS = 100; private static final int N_RUNS_HALF = 5; // #runs will be 2*N_RUNS_HALF + 1 // The grid defining the structure of the labyrinth private final Labyrinth labyrinth; // For each cell in the labyrinth: Has solve() visited it yet? private boolean[][] visited; // initialized in solve() private AtomicBoolean[][] visitedAtomic; private static final int DISTANCE_PER_TASK = 20; private Point[] solution = null; // set to solution path once that has been computed public Solver(Labyrinth labyrinth) { this.labyrinth = labyrinth; } public Solver(int width, int height) { this(new Labyrinth(width, height)); } private boolean visitedBefore(Point p) { return visited[p.getX()][p.getY()]; } private void visit(Point p) { visited[p.getX()][p.getY()] = true; } /** * @return Returns a path through the labyrinth from start to end as an array, or null if no solution exists */ public Point[] solve() { // Initialize the search state: This must be done here to be part of the timing measurement Point current = labyrinth.getStart(); ArrayDeque pathSoFar = new ArrayDeque(); // Path from start to just before current visited = new boolean[labyrinth.getWidth()][labyrinth.getHeight()]; // initially all false ArrayDeque backtrackStack = new ArrayDeque(); // Used as a stack: Branches not yet taken; solver will backtrack to these branching points later // TODO: Is it faster to allocate backtrackStack with width*height elements right away? // Search: while (!labyrinth.isDestination(current)) { Point next = null; visit(current); // Use first random unvisited neighbor as next cell, push others on the backtrack stack: Direction[] dirs = Direction.values(); for (Direction directionToNeighbor: dirs) { Point neighbor = current.getNeighbor(directionToNeighbor); if ( labyrinth.hasPassage(current, directionToNeighbor) && !visitedBefore(neighbor) && ( !labyrinth.isBlindAlley(neighbor, directionToNeighbor.opposite) || labyrinth.isDestination(neighbor))) { if (next == null) // 1st unvisited neighbor next = neighbor; else { // 2nd or higher unvisited neighbor: Save neighbor as starting cell for a later backtracking backtrackStack.push(new PointAndDirection(neighbor, directionToNeighbor.opposite)); // System.out.println("Pushing " + neighbor + " to the backtracking stack."); } } } // Advance to next cell, if any: if (next != null) { // System.out.println("Advancing from " + current + " to " + next); pathSoFar.addLast(current); current = next; } else { // current has no unvisited neighbor: Backtrack, if possible if (backtrackStack.isEmpty()) return null; // No more backtracking avaible: No solution exists // Backtrack: Continue with cell saved at latest branching point: PointAndDirection pd = backtrackStack.pop(); current = pd.getPoint(); Point branchingPoint = current.getNeighbor(pd.getDirectionToBranchingPoint()); // System.out.println("Backtracking to " + branchingPoint); // Remove the dead end from the top of pathSoFar, i.e. all cells after branchingPoint: while (!pathSoFar.peekLast().equals(branchingPoint)) { // System.out.println(" Going back before " + pathSoFar.peekLast()); pathSoFar.removeLast(); } } } pathSoFar.addLast(current); // Point[0] is only for making the return value have type Point[] (and not Object[]): return pathSoFar.toArray(new Point[0]); } public Point[] solveConcurrently() { // dummy origin direction for start PointAndDirection start = new PointAndDirection(labyrinth.getStart(), Direction.N); visitedAtomic = new AtomicBoolean[labyrinth.getWidth()][labyrinth.getHeight()]; ArrayDeque backtrackStack = new ArrayDeque(); ForkJoinPool pool = ForkJoinPool.commonPool(); ConcurrentSolverTask t = new ConcurrentSolverTask(backtrackStack, start); Point[] result = pool.invoke(t); return result; } private class ConcurrentSolverTask extends RecursiveTask { private ArrayDeque backtrackStack; private PointAndDirection start; private int initialStackSize; private HashSet visitedThisTask; public ConcurrentSolverTask(ArrayDeque backtrackStack, PointAndDirection start) { this.backtrackStack = backtrackStack; this.start = start; this.initialStackSize = backtrackStack.size(); this.visitedThisTask = new HashSet<>(); } public Point[] compute() { PointAndDirection current = this.start; if (labyrinth.isDestination(current.getPoint())) { return backtrackStackToPath(backtrackStack); } if (!current.getDirectionToBranchingPoint().equals(Direction.N)) { if () { } } return null; } private boolean visit(PointAndDirection p) { if (visitedThisTask.contains(p.getPoint())) { return false; } Point lastPoint = backtrackStack.getLast().getPoint(); if (Math.abs(lastPoint.y - p.getPoint().y) + Math.abs(lastPoint.x - p.getPoint().x) > 1) { System.err.println("Cannot visit point " + p.getPoint() + " because it is not adjacened to " + lastPoint); return false; } if (!visitedAtomic[p.getPoint().x][p.getPoint().y].compareAndSet(false, true)) return false; backtrackStack.add(p); visitedThisTask.add(p.getPoint()); return true; } } private Point[] backtrackStackToPath(ArrayDeque backtrackStack) { Point[] result = new Point[backtrackStack.size()]; for (int i = 0; i < result.length; i++) { result[backtrackStack.size() - 1] = backtrackStack.remove().getPoint(); } return result; } @Override protected void paintComponent(Graphics graphics) { super.paintComponent(graphics); // draw white background graphics.setColor(Color.WHITE); graphics.fillRect(0, 0, labyrinth.getWidth()*labyrinth.cell_size_pixels(), labyrinth.getHeight()*labyrinth.cell_size_pixels()); // draw solution path, if available if (solution != null) { graphics.setColor(Color.YELLOW); for (Point p: solution) /* // fill only white area between the walls instead of whole cell: graphics.fillRect(p.getX()*CELL_PX+HALF_WALL_PX, p.getY()*CELL_PX+HALF_WALL_PX, CELL_PX-2*HALF_WALL_PX, CELL_PX-2*HALF_WALL_PX); */ graphics.fillRect(p.getX()*labyrinth.cell_size_pixels(), p.getY()*labyrinth.cell_size_pixels(), labyrinth.cell_size_pixels(), labyrinth.cell_size_pixels()); } // draw walls labyrinth.display(graphics); } public void printSolution() { System.out.print("Solution: "); for (Point p: solution) System.out.print(p); System.out.println(); } public void displaySolution() { repaint(); } private static Solver makeAndSaveSolver(String[] args) { // Construct solver: Either read it from a file, or create a new one if (args.length >= 1 && args[0].endsWith(".ser")) { // 1st argument is name of file with serialized labyrinth: Ignore other arguments // and create a solver for the labyrinth from that file: ObjectInputStream ois; try { ois = new ObjectInputStream(new FileInputStream(args[0])); Labyrinth labyrinth = (Labyrinth)ois.readObject(); ois.close(); return new Solver(labyrinth); } catch (Exception e) { System.out.println(e); return null; } } else { // Create solver for new, random labyrinth: int width = args.length >= 1 ? (Integer.parseInt(args[0])) : DEFAULT_WIDTH_IN_CELLS; int height = args.length >= 2 ? (Integer.parseInt(args[1])) : DEFAULT_HEIGHT_IN_CELLS; Solver solver = new Solver(width, height); // Save labyrinth to file (may be reused in future program executions): try { ObjectOutputStream oos = new ObjectOutputStream(new FileOutputStream("labyrinth.ser")); oos.writeObject(solver.labyrinth); oos.close(); } catch (Exception e) { System.out.println(e); } return solver; } } private static void displayLabyrinth(Solver solver) { JFrame frame = new JFrame("Sequential labyrinth solver"); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); // TODO: Window is initially displayed somewhat smaller than // the indicated frame size, therefore use width+5 and height+5: frame.setSize((solver.labyrinth.getWidth()+5) * solver.labyrinth.cell_size_pixels(), (solver.labyrinth.getHeight()+5) * solver.labyrinth.cell_size_pixels()); // Put a scroll pane around the labyrinth frame if the latter is too large // (by Joern Lenselink) Dimension displayDimens = java.awt.GraphicsEnvironment.getLocalGraphicsEnvironment().getMaximumWindowBounds().getSize(); Dimension labyrinthDimens = frame.getSize(); if(labyrinthDimens.height > displayDimens.height) { JScrollPane scroll = new JScrollPane(); solver.setBackground(Color.LIGHT_GRAY); frame.getContentPane().add(scroll); JPanel borderlayoutpanel = new JPanel(); borderlayoutpanel.setBackground(Color.darkGray); scroll.setViewportView(borderlayoutpanel); borderlayoutpanel.setLayout(new BorderLayout(0, 0)); JPanel columnpanel = new JPanel(); borderlayoutpanel.add(columnpanel, BorderLayout.NORTH); columnpanel.setLayout(new GridLayout(0, 1, 0, 1)); columnpanel.setOpaque(false); columnpanel.setBackground(Color.darkGray); columnpanel.setSize(labyrinthDimens.getSize()); columnpanel.setPreferredSize(labyrinthDimens.getSize()); columnpanel.add(solver); } else { // No scroll pane needed: frame.getContentPane().add(solver); } frame.setVisible(true); // will draw the labyrinth (without solution) } /** * * @param args If the first argument is a file name ending in .ser, the serialized labyrinth in that file * is used; else the first two arguments are optional numbers giving the width and height of a new * labyrinth to be constructed. Then the labyrinth is solved and displayed (unless too large). * This is run a certain number of times and then the median run time is printed. */ public static void main(String[] args) { long[] runTimes = new long[2*N_RUNS_HALF + 1]; for (int run = 0; run < 2*N_RUNS_HALF + 1; ++run) { Solver solver = makeAndSaveSolver(args); if (solver.labyrinth.smallEnoughToDisplay()) { displayLabyrinth(solver); } long startTime = System.currentTimeMillis(); solver.solution = solver.solve(); long endTime = System.currentTimeMillis(); if (solver.solution == null) System.out.println("No solution exists."); else { System.out.println("Computed sequential solution of length " + solver.solution.length + " to labyrinth of size " + solver.labyrinth.getWidth() + "x" + solver.labyrinth.getHeight() + " in " + (endTime - startTime) + "ms."); runTimes[run] = endTime - startTime; if (solver.labyrinth.smallEnoughToDisplay()) { solver.displaySolution(); solver.printSolution(); } if (solver.labyrinth.checkSolution(solver.solution)) System.out.println("Solution correct :-)"); else System.out.println("Solution incorrect :-("); } } Arrays.sort(runTimes); System.out.println("Median run time was " + runTimes[N_RUNS_HALF] + " ms."); } }