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