summaryrefslogtreecommitdiffstats
path: root/Tools/demo/hanoi.py
diff options
context:
space:
mode:
Diffstat (limited to 'Tools/demo/hanoi.py')
-rw-r--r--Tools/demo/hanoi.py154
1 files changed, 154 insertions, 0 deletions
diff --git a/Tools/demo/hanoi.py b/Tools/demo/hanoi.py
new file mode 100644
index 0000000..34a0bba
--- /dev/null
+++ b/Tools/demo/hanoi.py
@@ -0,0 +1,154 @@
+# Animated Towers of Hanoi using Tk with optional bitmap file in
+# background.
+#
+# Usage: tkhanoi [n [bitmapfile]]
+#
+# n is the number of pieces to animate; default is 4, maximum 15.
+#
+# The bitmap file can be any X11 bitmap file (look in
+# /usr/include/X11/bitmaps for samples); it is displayed as the
+# background of the animation. Default is no bitmap.
+
+# This uses Steen Lumholt's Tk interface
+from tkinter import *
+
+
+# Basic Towers-of-Hanoi algorithm: move n pieces from a to b, using c
+# as temporary. For each move, call report()
+def hanoi(n, a, b, c, report):
+ if n <= 0: return
+ hanoi(n-1, a, c, b, report)
+ report(n, a, b)
+ hanoi(n-1, c, b, a, report)
+
+
+# The graphical interface
+class Tkhanoi:
+
+ # Create our objects
+ def __init__(self, n, bitmap = None):
+ self.n = n
+ self.tk = tk = Tk()
+ self.canvas = c = Canvas(tk)
+ c.pack()
+ width, height = tk.getint(c['width']), tk.getint(c['height'])
+
+ # Add background bitmap
+ if bitmap:
+ self.bitmap = c.create_bitmap(width//2, height//2,
+ bitmap=bitmap,
+ foreground='blue')
+
+ # Generate pegs
+ pegwidth = 10
+ pegheight = height//2
+ pegdist = width//3
+ x1, y1 = (pegdist-pegwidth)//2, height*1//3
+ x2, y2 = x1+pegwidth, y1+pegheight
+ self.pegs = []
+ p = c.create_rectangle(x1, y1, x2, y2, fill='black')
+ self.pegs.append(p)
+ x1, x2 = x1+pegdist, x2+pegdist
+ p = c.create_rectangle(x1, y1, x2, y2, fill='black')
+ self.pegs.append(p)
+ x1, x2 = x1+pegdist, x2+pegdist
+ p = c.create_rectangle(x1, y1, x2, y2, fill='black')
+ self.pegs.append(p)
+ self.tk.update()
+
+ # Generate pieces
+ pieceheight = pegheight//16
+ maxpiecewidth = pegdist*2//3
+ minpiecewidth = 2*pegwidth
+ self.pegstate = [[], [], []]
+ self.pieces = {}
+ x1, y1 = (pegdist-maxpiecewidth)//2, y2-pieceheight-2
+ x2, y2 = x1+maxpiecewidth, y1+pieceheight
+ dx = (maxpiecewidth-minpiecewidth) // (2*max(1, n-1))
+ for i in range(n, 0, -1):
+ p = c.create_rectangle(x1, y1, x2, y2, fill='red')
+ self.pieces[i] = p
+ self.pegstate[0].append(i)
+ x1, x2 = x1 + dx, x2-dx
+ y1, y2 = y1 - pieceheight-2, y2-pieceheight-2
+ self.tk.update()
+ self.tk.after(25)
+
+ # Run -- never returns
+ def run(self):
+ while 1:
+ hanoi(self.n, 0, 1, 2, self.report)
+ hanoi(self.n, 1, 2, 0, self.report)
+ hanoi(self.n, 2, 0, 1, self.report)
+ hanoi(self.n, 0, 2, 1, self.report)
+ hanoi(self.n, 2, 1, 0, self.report)
+ hanoi(self.n, 1, 0, 2, self.report)
+
+ # Reporting callback for the actual hanoi function
+ def report(self, i, a, b):
+ if self.pegstate[a][-1] != i: raise RuntimeError # Assertion
+ del self.pegstate[a][-1]
+ p = self.pieces[i]
+ c = self.canvas
+
+ # Lift the piece above peg a
+ ax1, ay1, ax2, ay2 = c.bbox(self.pegs[a])
+ while 1:
+ x1, y1, x2, y2 = c.bbox(p)
+ if y2 < ay1: break
+ c.move(p, 0, -1)
+ self.tk.update()
+
+ # Move it towards peg b
+ bx1, by1, bx2, by2 = c.bbox(self.pegs[b])
+ newcenter = (bx1+bx2)//2
+ while 1:
+ x1, y1, x2, y2 = c.bbox(p)
+ center = (x1+x2)//2
+ if center == newcenter: break
+ if center > newcenter: c.move(p, -1, 0)
+ else: c.move(p, 1, 0)
+ self.tk.update()
+
+ # Move it down on top of the previous piece
+ pieceheight = y2-y1
+ newbottom = by2 - pieceheight*len(self.pegstate[b]) - 2
+ while 1:
+ x1, y1, x2, y2 = c.bbox(p)
+ if y2 >= newbottom: break
+ c.move(p, 0, 1)
+ self.tk.update()
+
+ # Update peg state
+ self.pegstate[b].append(i)
+
+
+# Main program
+def main():
+ import sys
+
+ # First argument is number of pegs, default 4
+ if sys.argv[1:]:
+ n = int(sys.argv[1])
+ else:
+ n = 4
+
+ # Second argument is bitmap file, default none
+ if sys.argv[2:]:
+ bitmap = sys.argv[2]
+ # Reverse meaning of leading '@' compared to Tk
+ if bitmap[0] == '@': bitmap = bitmap[1:]
+ else: bitmap = '@' + bitmap
+ else:
+ bitmap = None
+
+ # Create the graphical objects...
+ h = Tkhanoi(n, bitmap)
+
+ # ...and run!
+ h.run()
+
+
+# Call main when run as script
+if __name__ == '__main__':
+ main()