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[emacs.git] / lisp / play / hanoi.el
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1 ;;; hanoi.el --- towers of hanoi in GNUmacs
3 ;; Author: Damon Anton Permezel
4 ;; Maintainer: FSF
5 ;; Keywords: games
7 ; Author (a) 1985, Damon Anton Permezel
8 ; This is in the public domain
9 ; since he distributed it without copyright notice in 1985.
11 ;;; Commentary:
13 ;; Solves the Towers of Hanoi puzzle while-U-wait.
15 ;; The puzzle: Start with N rings, decreasing in sizes from bottom to
16 ;; top, stacked around a post. There are two other posts. Your mission,
17 ;; should you choose to accept it, is to shift the pile, stacked in its
18 ;; original order, to another post.
20 ;; The challenge is to do it in the fewest possible moves. Each move
21 ;; shifts one ring to a different post. But there's a rule; you can
22 ;; only stack a ring on top of a larger one.
24 ;; The simplest nontrivial version of this puzzle is N = 3. Solution
25 ;; time rises as 2**N, and programs to solve it have long been considered
26 ;; classic introductory exercises in the use of recursion.
28 ;; The puzzle is called `Towers of Hanoi' because an early popular
29 ;; presentation wove a fanciful legend around it. According to this
30 ;; myth (uttered long before the Vietnam War), there is a Buddhist
31 ;; monastery at Hanoi which contains a large room with three time-worn
32 ;; posts in it surrounded by 21 golden discs. Monks, acting out the
33 ;; command of an ancient prophecy, have been moving these disks, in
34 ;; accordance with the rules of the puzzle, once every day since the
35 ;; monastery was founded over a thousand years ago. They are said
36 ;; believe that when the last move of the puzzle is completed, the
37 ;; world will end in a clap of thunder. Fortunately, they are nowhere
38 ;; even close to being done...
40 ;;; Code:
42 ;;;
43 ;;; hanoi-topos - direct cursor addressing
44 ;;;
45 (defun hanoi-topos (row col)
46 (goto-line row)
47 (beginning-of-line)
48 (forward-char col))
50 ;;;
51 ;;; hanoi - user callable Towers of Hanoi
52 ;;;
53 ;;;###autoload
54 (defun hanoi (nrings)
55 "Towers of Hanoi diversion. Argument is number of rings."
56 (interactive "p")
57 (if (<= nrings 1) (setq nrings 7))
58 (let* (floor-row
59 fly-row
60 (window-height (1- (window-height (selected-window))))
61 (window-width (window-width (selected-window)))
63 ;; This is half the spacing to use between poles.
64 (pole-spacing (/ window-width 6)))
65 (if (not (and (> window-height (1+ nrings))
66 (> pole-spacing nrings)))
67 (progn
68 (delete-other-windows)
69 (if (not (and (> (setq window-height
70 (1- (window-height (selected-window))))
71 (1+ nrings))
72 (> (setq pole-spacing (/ window-width 6))
73 nrings)))
74 (error "Window is too small (need at least %dx%d)"
75 (* 6 (1+ nrings)) (+ 2 nrings)))))
76 (setq floor-row (if (> (- window-height 3) (1+ nrings))
77 (- window-height 3) window-height))
78 (let ((fly-row (- floor-row nrings 1))
79 ;; pole: column . fill height
80 (pole-1 (cons (1- pole-spacing) floor-row))
81 (pole-2 (cons (1- (* 3 pole-spacing)) floor-row))
82 (pole-3 (cons (1- (* 5 pole-spacing)) floor-row))
83 (rings (make-vector nrings nil)))
84 ;; construct the ring list
85 (let ((i 0))
86 (while (< i nrings)
87 ;; ring: [pole-number string empty-string]
88 (aset rings i (vector nil
89 (make-string (+ i i 3) (+ ?0 (% i 10)))
90 (make-string (+ i i 3) ?\ )))
91 (setq i (1+ i))))
93 ;; init the screen
95 (switch-to-buffer "*Hanoi*")
96 (setq buffer-read-only nil)
97 (buffer-disable-undo (current-buffer))
98 (erase-buffer)
99 (let ((i 0))
100 (while (< i floor-row)
101 (setq i (1+ i))
102 (insert-char ?\ (1- window-width))
103 (insert ?\n)))
104 (insert-char ?= (1- window-width))
106 (let ((n 1))
107 (while (< n 6)
108 (hanoi-topos fly-row (1- (* n pole-spacing)))
109 (setq n (+ n 2))
110 (let ((i fly-row))
111 (while (< i floor-row)
112 (setq i (1+ i))
113 (next-line 1)
114 (insert ?\|)
115 (delete-char 1)
116 (backward-char 1)))))
117 ;(sit-for 0)
119 ;; now draw the rings in their initial positions
121 (let ((i 0)
122 ring)
123 (while (< i nrings)
124 (setq ring (aref rings (- nrings 1 i)))
125 (aset ring 0 (- floor-row i))
126 (hanoi-topos (cdr pole-1)
127 (- (car pole-1) (- nrings i)))
128 (hanoi-draw-ring ring t nil)
129 (setcdr pole-1 (1- (cdr pole-1)))
130 (setq i (1+ i))))
131 (setq buffer-read-only t)
132 (sit-for 0)
133 ;; Disable display of line and column numbers, for speed.
134 (let ((line-number-mode nil)
135 (column-number-mode nil))
136 ;; do it!
137 (hanoi0 (1- nrings) pole-1 pole-2 pole-3))
138 (goto-char (point-min))
139 (message "Done")
140 (setq buffer-read-only t)
141 (force-mode-line-update)
142 (sit-for 0))))
145 ;;; hanoi0 - work horse of hanoi
147 (defun hanoi0 (n from to work)
148 (cond ((input-pending-p)
149 (signal 'quit (list "I can tell you've had enough")))
150 ((< n 0))
152 (hanoi0 (1- n) from work to)
153 (hanoi-move-ring n from to)
154 (hanoi0 (1- n) work to from))))
157 ;;; hanoi-move-ring - move ring 'n' from 'from' to 'to'
160 (defun hanoi-move-ring (n from to)
161 (let ((ring (aref rings n)) ; ring <- ring: (ring# . row)
162 (buffer-read-only nil))
163 (let ((row (aref ring 0)) ; row <- row ring is on
164 (col (- (car from) n 1)) ; col <- left edge of ring
165 (dst-col (- (car to) n 1)) ; dst-col <- dest col for left edge
166 (dst-row (cdr to))) ; dst-row <- dest row for ring
167 (hanoi-topos row col)
168 (while (> row fly-row) ; move up to the fly row
169 (hanoi-draw-ring ring nil t) ; blank out ring
170 (previous-line 1) ; move up a line
171 (hanoi-draw-ring ring t nil) ; redraw
172 (sit-for 0)
173 (setq row (1- row)))
174 (setcdr from (1+ (cdr from))) ; adjust top row
176 ;; fly the ring over to the right pole
178 (while (not (equal dst-col col))
179 (cond ((> dst-col col) ; dst-col > col: right shift
180 (end-of-line 1)
181 (delete-backward-char 2)
182 (beginning-of-line 1)
183 (insert ?\ ?\ )
184 (sit-for 0)
185 (setq col (1+ (1+ col))))
186 ((< dst-col col) ; dst-col < col: left shift
187 (beginning-of-line 1)
188 (delete-char 2)
189 (end-of-line 1)
190 (insert ?\ ?\ )
191 (sit-for 0)
192 (setq col (1- (1- col))))))
194 ;; let the ring float down
196 (hanoi-topos fly-row dst-col)
197 (while (< row dst-row) ; move down to the dest row
198 (hanoi-draw-ring ring nil (> row fly-row)) ; blank out ring
199 (next-line 1) ; move down a line
200 (hanoi-draw-ring ring t nil) ; redraw ring
201 (sit-for 0)
202 (setq row (1+ row)))
203 (aset ring 0 dst-row)
204 (setcdr to (1- (cdr to)))))) ; adjust top row
207 ;;; draw-ring - draw the ring at point, leave point unchanged
209 ;;; Input:
210 ;;; ring
211 ;;; f1 - flag: t -> draw, nil -> erase
212 ;;; f2 - flag: t -> erasing and need to draw ?\|
214 (defun hanoi-draw-ring (ring f1 f2)
215 (save-excursion
216 (let* ((string (if f1 (aref ring 1) (aref ring 2)))
217 (len (length string)))
218 (delete-char len)
219 (insert string)
220 (if f2
221 (progn
222 (backward-char (/ (+ len 1) 2))
223 (delete-char 1) (insert ?\|))))))
225 (provide 'hanoi)
227 ;;; hanoi.el ends here