| 1 | # Animated Towers of Hanoi using Tk with optional bitmap file in
|
|---|
| 2 | # background.
|
|---|
| 3 | #
|
|---|
| 4 | # Usage: tkhanoi [n [bitmapfile]]
|
|---|
| 5 | #
|
|---|
| 6 | # n is the number of pieces to animate; default is 4, maximum 15.
|
|---|
| 7 | #
|
|---|
| 8 | # The bitmap file can be any X11 bitmap file (look in
|
|---|
| 9 | # /usr/include/X11/bitmaps for samples); it is displayed as the
|
|---|
| 10 | # background of the animation. Default is no bitmap.
|
|---|
| 11 |
|
|---|
| 12 | # This uses Steen Lumholt's Tk interface
|
|---|
| 13 | from Tkinter import *
|
|---|
| 14 |
|
|---|
| 15 |
|
|---|
| 16 | # Basic Towers-of-Hanoi algorithm: move n pieces from a to b, using c
|
|---|
| 17 | # as temporary. For each move, call report()
|
|---|
| 18 | def hanoi(n, a, b, c, report):
|
|---|
| 19 | if n <= 0: return
|
|---|
| 20 | hanoi(n-1, a, c, b, report)
|
|---|
| 21 | report(n, a, b)
|
|---|
| 22 | hanoi(n-1, c, b, a, report)
|
|---|
| 23 |
|
|---|
| 24 |
|
|---|
| 25 | # The graphical interface
|
|---|
| 26 | class Tkhanoi:
|
|---|
| 27 |
|
|---|
| 28 | # Create our objects
|
|---|
| 29 | def __init__(self, n, bitmap = None):
|
|---|
| 30 | self.n = n
|
|---|
| 31 | self.tk = tk = Tk()
|
|---|
| 32 | self.canvas = c = Canvas(tk)
|
|---|
| 33 | c.pack()
|
|---|
| 34 | width, height = tk.getint(c['width']), tk.getint(c['height'])
|
|---|
| 35 |
|
|---|
| 36 | # Add background bitmap
|
|---|
| 37 | if bitmap:
|
|---|
| 38 | self.bitmap = c.create_bitmap(width/2, height/2,
|
|---|
| 39 | bitmap=bitmap,
|
|---|
| 40 | foreground='blue')
|
|---|
| 41 |
|
|---|
| 42 | # Generate pegs
|
|---|
| 43 | pegwidth = 10
|
|---|
| 44 | pegheight = height/2
|
|---|
| 45 | pegdist = width/3
|
|---|
| 46 | x1, y1 = (pegdist-pegwidth)/2, height*1/3
|
|---|
| 47 | x2, y2 = x1+pegwidth, y1+pegheight
|
|---|
| 48 | self.pegs = []
|
|---|
| 49 | p = c.create_rectangle(x1, y1, x2, y2, fill='black')
|
|---|
| 50 | self.pegs.append(p)
|
|---|
| 51 | x1, x2 = x1+pegdist, x2+pegdist
|
|---|
| 52 | p = c.create_rectangle(x1, y1, x2, y2, fill='black')
|
|---|
| 53 | self.pegs.append(p)
|
|---|
| 54 | x1, x2 = x1+pegdist, x2+pegdist
|
|---|
| 55 | p = c.create_rectangle(x1, y1, x2, y2, fill='black')
|
|---|
| 56 | self.pegs.append(p)
|
|---|
| 57 | self.tk.update()
|
|---|
| 58 |
|
|---|
| 59 | # Generate pieces
|
|---|
| 60 | pieceheight = pegheight/16
|
|---|
| 61 | maxpiecewidth = pegdist*2/3
|
|---|
| 62 | minpiecewidth = 2*pegwidth
|
|---|
| 63 | self.pegstate = [[], [], []]
|
|---|
| 64 | self.pieces = {}
|
|---|
| 65 | x1, y1 = (pegdist-maxpiecewidth)/2, y2-pieceheight-2
|
|---|
| 66 | x2, y2 = x1+maxpiecewidth, y1+pieceheight
|
|---|
| 67 | dx = (maxpiecewidth-minpiecewidth) / (2*max(1, n-1))
|
|---|
| 68 | for i in range(n, 0, -1):
|
|---|
| 69 | p = c.create_rectangle(x1, y1, x2, y2, fill='red')
|
|---|
| 70 | self.pieces[i] = p
|
|---|
| 71 | self.pegstate[0].append(i)
|
|---|
| 72 | x1, x2 = x1 + dx, x2-dx
|
|---|
| 73 | y1, y2 = y1 - pieceheight-2, y2-pieceheight-2
|
|---|
| 74 | self.tk.update()
|
|---|
| 75 | self.tk.after(25)
|
|---|
| 76 |
|
|---|
| 77 | # Run -- never returns
|
|---|
| 78 | def run(self):
|
|---|
| 79 | while 1:
|
|---|
| 80 | hanoi(self.n, 0, 1, 2, self.report)
|
|---|
| 81 | hanoi(self.n, 1, 2, 0, self.report)
|
|---|
| 82 | hanoi(self.n, 2, 0, 1, self.report)
|
|---|
| 83 | hanoi(self.n, 0, 2, 1, self.report)
|
|---|
| 84 | hanoi(self.n, 2, 1, 0, self.report)
|
|---|
| 85 | hanoi(self.n, 1, 0, 2, self.report)
|
|---|
| 86 |
|
|---|
| 87 | # Reporting callback for the actual hanoi function
|
|---|
| 88 | def report(self, i, a, b):
|
|---|
| 89 | if self.pegstate[a][-1] != i: raise RuntimeError # Assertion
|
|---|
| 90 | del self.pegstate[a][-1]
|
|---|
| 91 | p = self.pieces[i]
|
|---|
| 92 | c = self.canvas
|
|---|
| 93 |
|
|---|
| 94 | # Lift the piece above peg a
|
|---|
| 95 | ax1, ay1, ax2, ay2 = c.bbox(self.pegs[a])
|
|---|
| 96 | while 1:
|
|---|
| 97 | x1, y1, x2, y2 = c.bbox(p)
|
|---|
| 98 | if y2 < ay1: break
|
|---|
| 99 | c.move(p, 0, -1)
|
|---|
| 100 | self.tk.update()
|
|---|
| 101 |
|
|---|
| 102 | # Move it towards peg b
|
|---|
| 103 | bx1, by1, bx2, by2 = c.bbox(self.pegs[b])
|
|---|
| 104 | newcenter = (bx1+bx2)/2
|
|---|
| 105 | while 1:
|
|---|
| 106 | x1, y1, x2, y2 = c.bbox(p)
|
|---|
| 107 | center = (x1+x2)/2
|
|---|
| 108 | if center == newcenter: break
|
|---|
| 109 | if center > newcenter: c.move(p, -1, 0)
|
|---|
| 110 | else: c.move(p, 1, 0)
|
|---|
| 111 | self.tk.update()
|
|---|
| 112 |
|
|---|
| 113 | # Move it down on top of the previous piece
|
|---|
| 114 | pieceheight = y2-y1
|
|---|
| 115 | newbottom = by2 - pieceheight*len(self.pegstate[b]) - 2
|
|---|
| 116 | while 1:
|
|---|
| 117 | x1, y1, x2, y2 = c.bbox(p)
|
|---|
| 118 | if y2 >= newbottom: break
|
|---|
| 119 | c.move(p, 0, 1)
|
|---|
| 120 | self.tk.update()
|
|---|
| 121 |
|
|---|
| 122 | # Update peg state
|
|---|
| 123 | self.pegstate[b].append(i)
|
|---|
| 124 |
|
|---|
| 125 |
|
|---|
| 126 | # Main program
|
|---|
| 127 | def main():
|
|---|
| 128 | import sys, string
|
|---|
| 129 |
|
|---|
| 130 | # First argument is number of pegs, default 4
|
|---|
| 131 | if sys.argv[1:]:
|
|---|
| 132 | n = string.atoi(sys.argv[1])
|
|---|
| 133 | else:
|
|---|
| 134 | n = 4
|
|---|
| 135 |
|
|---|
| 136 | # Second argument is bitmap file, default none
|
|---|
| 137 | if sys.argv[2:]:
|
|---|
| 138 | bitmap = sys.argv[2]
|
|---|
| 139 | # Reverse meaning of leading '@' compared to Tk
|
|---|
| 140 | if bitmap[0] == '@': bitmap = bitmap[1:]
|
|---|
| 141 | else: bitmap = '@' + bitmap
|
|---|
| 142 | else:
|
|---|
| 143 | bitmap = None
|
|---|
| 144 |
|
|---|
| 145 | # Create the graphical objects...
|
|---|
| 146 | h = Tkhanoi(n, bitmap)
|
|---|
| 147 |
|
|---|
| 148 | # ...and run!
|
|---|
| 149 | h.run()
|
|---|
| 150 |
|
|---|
| 151 |
|
|---|
| 152 | # Call main when run as script
|
|---|
| 153 | if __name__ == '__main__':
|
|---|
| 154 | main()
|
|---|
