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1 ;;; landmark.el --- neural-network robot that learns landmarks
3 ;; Copyright (C) 1996, 1997, 2000, 2001, 2002, 2003, 2004, 2005, 2006,
4 ;; 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
6 ;; Author: Terrence Brannon (was: <brannon@rana.usc.edu>)
7 ;; Created: December 16, 1996 - first release to usenet
8 ;; Keywords: games, gomoku, neural network, adaptive search, chemotaxis
10 ;;;_* Usage
11 ;;; Just type
12 ;;; M-x eval-buffer
13 ;;; M-x lm-test-run
16 ;; This file is part of GNU Emacs.
18 ;; GNU Emacs is free software: you can redistribute it and/or modify
19 ;; it under the terms of the GNU General Public License as published by
20 ;; the Free Software Foundation, either version 3 of the License, or
21 ;; (at your option) any later version.
23 ;; GNU Emacs is distributed in the hope that it will be useful,
24 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
25 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
26 ;; GNU General Public License for more details.
28 ;; You should have received a copy of the GNU General Public License
29 ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
32 ;;; Commentary:
33 ;; Lm is a relatively non-participatory game in which a robot
34 ;; attempts to maneuver towards a tree at the center of the window
35 ;; based on unique olfactory cues from each of the 4 directions. If
36 ;; the smell of the tree increases, then the weights in the robot's
37 ;; brain are adjusted to encourage this odor-driven behavior in the
38 ;; future. If the smell of the tree decreases, the robots weights are
39 ;; adjusted to discourage a correct move.
41 ;; In laymen's terms, the search space is initially flat. The point
42 ;; of training is to "turn up the edges of the search space" so that
43 ;; the robot rolls toward the center.
45 ;; Further, do not become alarmed if the robot appears to oscillate
46 ;; back and forth between two or a few positions. This simply means
47 ;; it is currently caught in a local minimum and is doing its best to
48 ;; work its way out.
50 ;; The version of this program as described has a small problem. a
51 ;; move in a net direction can produce gross credit assignment. for
52 ;; example, if moving south will produce positive payoff, then, if in
53 ;; a single move, one moves east,west and south, then both east and
54 ;; west will be improved when they shouldn't
56 ;; Many thanks to Yuri Pryadkin (yuri@rana.usc.edu) for this
57 ;; concise problem description.
59 ;;;_* Require
60 (eval-when-compile (require 'cl))
62 ;;;_* From Gomoku
64 ;;; Code:
66 (defgroup lm nil
67 "Neural-network robot that learns landmarks."
68 :prefix "lm-"
69 :group 'games)
71 ;;;_ + THE BOARD.
73 ;; The board is a rectangular grid. We code empty squares with 0, X's with 1
74 ;; and O's with 6. The rectangle is recorded in a one dimensional vector
75 ;; containing padding squares (coded with -1). These squares allow us to
76 ;; detect when we are trying to move out of the board. We denote a square by
77 ;; its (X,Y) coords, or by the INDEX corresponding to them in the vector. The
78 ;; leftmost topmost square has coords (1,1) and index lm-board-width + 2.
79 ;; Similarly, vectors between squares may be given by two DX, DY coords or by
80 ;; one DEPL (the difference between indexes).
82 (defvar lm-board-width nil
83 "Number of columns on the Lm board.")
84 (defvar lm-board-height nil
85 "Number of lines on the Lm board.")
87 (defvar lm-board nil
88 "Vector recording the actual state of the Lm board.")
90 (defvar lm-vector-length nil
91 "Length of lm-board vector.")
93 (defvar lm-draw-limit nil
94 ;; This is usually set to 70% of the number of squares.
95 "After how many moves will Emacs offer a draw?")
97 (defvar lm-cx 0
98 "This is the x coordinate of the center of the board.")
100 (defvar lm-cy 0
101 "This is the y coordinate of the center of the board.")
103 (defvar lm-m 0
104 "This is the x dimension of the playing board.")
106 (defvar lm-n 0
107 "This is the y dimension of the playing board.")
110 (defun lm-xy-to-index (x y)
111 "Translate X, Y cartesian coords into the corresponding board index."
112 (+ (* y lm-board-width) x y))
114 (defun lm-index-to-x (index)
115 "Return corresponding x-coord of board INDEX."
116 (% index (1+ lm-board-width)))
118 (defun lm-index-to-y (index)
119 "Return corresponding y-coord of board INDEX."
120 (/ index (1+ lm-board-width)))
122 (defun lm-init-board ()
123 "Create the lm-board vector and fill it with initial values."
124 (setq lm-board (make-vector lm-vector-length 0))
125 ;; Every square is 0 (i.e. empty) except padding squares:
126 (let ((i 0) (ii (1- lm-vector-length)))
127 (while (<= i lm-board-width) ; The squares in [0..width] and in
128 (aset lm-board i -1) ; [length - width - 1..length - 1]
129 (aset lm-board ii -1) ; are padding squares.
130 (setq i (1+ i)
131 ii (1- ii))))
132 (let ((i 0))
133 (while (< i lm-vector-length)
134 (aset lm-board i -1) ; and also all k*(width+1)
135 (setq i (+ i lm-board-width 1)))))
137 ;;;_ + DISPLAYING THE BOARD.
139 ;; You may change these values if you have a small screen or if the squares
140 ;; look rectangular, but spacings SHOULD be at least 2 (MUST BE at least 1).
142 (defconst lm-square-width 2
143 "*Horizontal spacing between squares on the Lm board.")
145 (defconst lm-square-height 1
146 "*Vertical spacing between squares on the Lm board.")
148 (defconst lm-x-offset 3
149 "*Number of columns between the Lm board and the side of the window.")
151 (defconst lm-y-offset 1
152 "*Number of lines between the Lm board and the top of the window.")
155 ;;;_ + LM MODE AND KEYMAP.
157 (defcustom lm-mode-hook nil
158 "If non-nil, its value is called on entry to Lm mode."
159 :type 'hook
160 :group 'lm)
162 (defvar lm-mode-map
163 (let ((map (make-sparse-keymap)))
164 ;; Key bindings for cursor motion.
165 (define-key map "y" 'lm-move-nw) ; y
166 (define-key map "u" 'lm-move-ne) ; u
167 (define-key map "b" 'lm-move-sw) ; b
168 (define-key map "n" 'lm-move-se) ; n
169 (define-key map "h" 'backward-char) ; h
170 (define-key map "l" 'forward-char) ; l
171 (define-key map "j" 'lm-move-down) ; j
172 (define-key map "k" 'lm-move-up) ; k
174 (define-key map [kp-7] 'lm-move-nw)
175 (define-key map [kp-9] 'lm-move-ne)
176 (define-key map [kp-1] 'lm-move-sw)
177 (define-key map [kp-3] 'lm-move-se)
178 (define-key map [kp-4] 'backward-char)
179 (define-key map [kp-6] 'forward-char)
180 (define-key map [kp-2] 'lm-move-down)
181 (define-key map [kp-8] 'lm-move-up)
183 (define-key map "\C-n" 'lm-move-down) ; C-n
184 (define-key map "\C-p" 'lm-move-up) ; C-p
186 ;; Key bindings for entering Human moves.
187 (define-key map "X" 'lm-human-plays) ; X
188 (define-key map "x" 'lm-human-plays) ; x
190 (define-key map " " 'lm-start-robot) ; SPC
191 (define-key map [down-mouse-1] 'lm-start-robot)
192 (define-key map [drag-mouse-1] 'lm-click)
193 (define-key map [mouse-1] 'lm-click)
194 (define-key map [down-mouse-2] 'lm-click)
195 (define-key map [mouse-2] 'lm-mouse-play)
196 (define-key map [drag-mouse-2] 'lm-mouse-play)
198 (define-key map [remap previous-line] 'lm-move-up)
199 (define-key map [remap next-line] 'lm-move-down)
200 (define-key map [remap beginning-of-line] 'lm-beginning-of-line)
201 (define-key map [remap end-of-line] 'lm-end-of-line)
202 (define-key map [remap undo] 'lm-human-takes-back)
203 (define-key map [remap advertised-undo] 'lm-human-takes-back)
204 map)
205 "Local keymap to use in Lm mode.")
209 (defvar lm-emacs-won ()
210 "*For making font-lock use the winner's face for the line.")
212 (defface lm-font-lock-face-O '((((class color)) :foreground "red")
213 (t :weight bold))
214 "Face to use for Emacs' O."
215 :version "22.1"
216 :group 'lm)
218 (defface lm-font-lock-face-X '((((class color)) :foreground "green")
219 (t :weight bold))
220 "Face to use for your X."
221 :version "22.1"
222 :group 'lm)
224 (defvar lm-font-lock-keywords
225 '(("O" . 'lm-font-lock-face-O)
226 ("X" . 'lm-font-lock-face-X)
227 ("[-|/\\]" 0 (if lm-emacs-won
228 'lm-font-lock-face-O
229 'lm-font-lock-face-X)))
230 "*Font lock rules for Lm.")
232 (put 'lm-mode 'front-sticky
233 (put 'lm-mode 'rear-nonsticky '(intangible)))
234 (put 'lm-mode 'intangible 1)
235 ;; This one is for when they set view-read-only to t: Landmark cannot
236 ;; allow View Mode to be activated in its buffer.
237 (put 'lm-mode 'mode-class 'special)
239 (defun lm-mode ()
240 "Major mode for playing Lm against Emacs.
241 You and Emacs play in turn by marking a free square. You mark it with X
242 and Emacs marks it with O. The winner is the first to get five contiguous
243 marks horizontally, vertically or in diagonal.
245 You play by moving the cursor over the square you choose and hitting \\[lm-human-plays].
247 Other useful commands:
248 \\{lm-mode-map}
249 Entry to this mode calls the value of `lm-mode-hook' if that value
250 is non-nil. One interesting value is `turn-on-font-lock'."
251 (interactive)
252 (kill-all-local-variables)
253 (setq major-mode 'lm-mode
254 mode-name "Lm")
255 (lm-display-statistics)
256 (use-local-map lm-mode-map)
257 (make-local-variable 'font-lock-defaults)
258 (setq font-lock-defaults '(lm-font-lock-keywords t)
259 buffer-read-only t)
260 (run-mode-hooks 'lm-mode-hook))
263 ;;;_ + THE SCORE TABLE.
266 ;; Every (free) square has a score associated to it, recorded in the
267 ;; LM-SCORE-TABLE vector. The program always plays in the square having
268 ;; the highest score.
270 (defvar lm-score-table nil
271 "Vector recording the actual score of the free squares.")
274 ;; The key point point about the algorithm is that, rather than considering
275 ;; the board as just a set of squares, we prefer to see it as a "space" of
276 ;; internested 5-tuples of contiguous squares (called qtuples).
278 ;; The aim of the program is to fill one qtuple with its O's while preventing
279 ;; you from filling another one with your X's. To that effect, it computes a
280 ;; score for every qtuple, with better qtuples having better scores. Of
281 ;; course, the score of a qtuple (taken in isolation) is just determined by
282 ;; its contents as a set, i.e. not considering the order of its elements. The
283 ;; highest score is given to the "OOOO" qtuples because playing in such a
284 ;; qtuple is winning the game. Just after this comes the "XXXX" qtuple because
285 ;; not playing in it is just loosing the game, and so on. Note that a
286 ;; "polluted" qtuple, i.e. one containing at least one X and at least one O,
287 ;; has score zero because there is no more any point in playing in it, from
288 ;; both an attacking and a defending point of view.
290 ;; Given the score of every qtuple, the score of a given free square on the
291 ;; board is just the sum of the scores of all the qtuples to which it belongs,
292 ;; because playing in that square is playing in all its containing qtuples at
293 ;; once. And it is that function which takes into account the internesting of
294 ;; the qtuples.
296 ;; This algorithm is rather simple but anyway it gives a not so dumb level of
297 ;; play. It easily extends to "n-dimensional Lm", where a win should not
298 ;; be obtained with as few as 5 contiguous marks: 6 or 7 (depending on n !)
299 ;; should be preferred.
302 ;; Here are the scores of the nine "non-polluted" configurations. Tuning
303 ;; these values will change (hopefully improve) the strength of the program
304 ;; and may change its style (rather aggressive here).
306 (defconst lm-nil-score 7 "Score of an empty qtuple.")
308 (defconst lm-score-trans-table
309 (let ((Xscore 15) ; Score of a qtuple containing one X.
310 (XXscore 400) ; Score of a qtuple containing two X's.
311 (XXXscore 1800) ; Score of a qtuple containing three X's.
312 (XXXXscore 100000) ; Score of a qtuple containing four X's.
313 (Oscore 35) ; Score of a qtuple containing one O.
314 (OOscore 800) ; Score of a qtuple containing two O's.
315 (OOOscore 15000) ; Score of a qtuple containing three O's.
316 (OOOOscore 800000)) ; Score of a qtuple containing four O's.
318 ;; These values are not just random: if, given the following situation:
320 ;; . . . . . . . O .
321 ;; . X X a . . . X .
322 ;; . . . X . . . X .
323 ;; . . . X . . . X .
324 ;; . . . . . . . b .
326 ;; you want Emacs to play in "a" and not in "b", then the parameters must
327 ;; satisfy the inequality:
329 ;; 6 * XXscore > XXXscore + XXscore
331 ;; because "a" mainly belongs to six "XX" qtuples (the others are less
332 ;; important) while "b" belongs to one "XXX" and one "XX" qtuples.
333 ;; Other conditions are required to obtain sensible moves, but the
334 ;; previous example should illustrate the point. If you manage to
335 ;; improve on these values, please send me a note. Thanks.
338 ;; As we chose values 0, 1 and 6 to denote empty, X and O squares,
339 ;; the contents of a qtuple are uniquely determined by the sum of
340 ;; its elements and we just have to set up a translation table.
341 (vector lm-nil-score Xscore XXscore XXXscore XXXXscore 0
342 Oscore 0 0 0 0 0
343 OOscore 0 0 0 0 0
344 OOOscore 0 0 0 0 0
345 OOOOscore 0 0 0 0 0
347 "Vector associating qtuple contents to their score.")
350 ;; If you do not modify drastically the previous constants, the only way for a
351 ;; square to have a score higher than OOOOscore is to belong to a "OOOO"
352 ;; qtuple, thus to be a winning move. Similarly, the only way for a square to
353 ;; have a score between XXXXscore and OOOOscore is to belong to a "XXXX"
354 ;; qtuple. We may use these considerations to detect when a given move is
355 ;; winning or loosing.
357 (defconst lm-winning-threshold
358 (aref lm-score-trans-table (+ 6 6 6 6)) ;; OOOOscore
359 "Threshold score beyond which an Emacs move is winning.")
361 (defconst lm-loosing-threshold
362 (aref lm-score-trans-table (+ 1 1 1 1)) ;; XXXXscore
363 "Threshold score beyond which a human move is winning.")
366 (defun lm-strongest-square ()
367 "Compute index of free square with highest score, or nil if none."
368 ;; We just have to loop other all squares. However there are two problems:
369 ;; 1/ The SCORE-TABLE only gives correct scores to free squares. To speed
370 ;; up future searches, we set the score of padding or occupied squares
371 ;; to -1 whenever we meet them.
372 ;; 2/ We want to choose randomly between equally good moves.
373 (let ((score-max 0)
374 (count 0) ; Number of equally good moves
375 (square (lm-xy-to-index 1 1)) ; First square
376 (end (lm-xy-to-index lm-board-width lm-board-height))
377 best-square score)
378 (while (<= square end)
379 (cond
380 ;; If score is lower (i.e. most of the time), skip to next:
381 ((< (aref lm-score-table square) score-max))
382 ;; If score is better, beware of non free squares:
383 ((> (setq score (aref lm-score-table square)) score-max)
384 (if (zerop (aref lm-board square)) ; is it free ?
385 (setq count 1 ; yes: take it !
386 best-square square
387 score-max score)
388 (aset lm-score-table square -1))) ; no: kill it !
389 ;; If score is equally good, choose randomly. But first check freeness:
390 ((not (zerop (aref lm-board square)))
391 (aset lm-score-table square -1))
392 ((zerop (random (setq count (1+ count))))
393 (setq best-square square
394 score-max score)))
395 (setq square (1+ square))) ; try next square
396 best-square))
398 ;;;_ - INITIALIZING THE SCORE TABLE.
400 ;; At initialization the board is empty so that every qtuple amounts for
401 ;; nil-score. Therefore, the score of any square is nil-score times the number
402 ;; of qtuples that pass through it. This number is 3 in a corner and 20 if you
403 ;; are sufficiently far from the sides. As computing the number is time
404 ;; consuming, we initialize every square with 20*nil-score and then only
405 ;; consider squares at less than 5 squares from one side. We speed this up by
406 ;; taking symmetry into account.
407 ;; Also, as it is likely that successive games will be played on a board with
408 ;; same size, it is a good idea to save the initial SCORE-TABLE configuration.
410 (defvar lm-saved-score-table nil
411 "Recorded initial value of previous score table.")
413 (defvar lm-saved-board-width nil
414 "Recorded value of previous board width.")
416 (defvar lm-saved-board-height nil
417 "Recorded value of previous board height.")
420 (defun lm-init-score-table ()
421 "Create the score table vector and fill it with initial values."
422 (if (and lm-saved-score-table ; Has it been stored last time ?
423 (= lm-board-width lm-saved-board-width)
424 (= lm-board-height lm-saved-board-height))
425 (setq lm-score-table (copy-sequence lm-saved-score-table))
426 ;; No, compute it:
427 (setq lm-score-table
428 (make-vector lm-vector-length (* 20 lm-nil-score)))
429 (let (i j maxi maxj maxi2 maxj2)
430 (setq maxi (/ (1+ lm-board-width) 2)
431 maxj (/ (1+ lm-board-height) 2)
432 maxi2 (min 4 maxi)
433 maxj2 (min 4 maxj))
434 ;; We took symmetry into account and could use it more if the board
435 ;; would have been square and not rectangular !
436 ;; In our case we deal with all (i,j) in the set [1..maxi2]*[1..maxj] U
437 ;; [maxi2+1..maxi]*[1..maxj2]. Maxi2 and maxj2 are used because the
438 ;; board may well be less than 8 by 8 !
439 (setq i 1)
440 (while (<= i maxi2)
441 (setq j 1)
442 (while (<= j maxj)
443 (lm-init-square-score i j)
444 (setq j (1+ j)))
445 (setq i (1+ i)))
446 (while (<= i maxi)
447 (setq j 1)
448 (while (<= j maxj2)
449 (lm-init-square-score i j)
450 (setq j (1+ j)))
451 (setq i (1+ i))))
452 (setq lm-saved-score-table (copy-sequence lm-score-table)
453 lm-saved-board-width lm-board-width
454 lm-saved-board-height lm-board-height)))
456 (defun lm-nb-qtuples (i j)
457 "Return the number of qtuples containing square I,J."
458 ;; This function is complicated because we have to deal
459 ;; with ugly cases like 3 by 6 boards, but it works.
460 ;; If you have a simpler (and correct) solution, send it to me. Thanks !
461 (let ((left (min 4 (1- i)))
462 (right (min 4 (- lm-board-width i)))
463 (up (min 4 (1- j)))
464 (down (min 4 (- lm-board-height j))))
465 (+ -12
466 (min (max (+ left right) 3) 8)
467 (min (max (+ up down) 3) 8)
468 (min (max (+ (min left up) (min right down)) 3) 8)
469 (min (max (+ (min right up) (min left down)) 3) 8))))
471 (defun lm-init-square-score (i j)
472 "Give initial score to square I,J and to its mirror images."
473 (let ((ii (1+ (- lm-board-width i)))
474 (jj (1+ (- lm-board-height j)))
475 (sc (* (lm-nb-qtuples i j) (aref lm-score-trans-table 0))))
476 (aset lm-score-table (lm-xy-to-index i j) sc)
477 (aset lm-score-table (lm-xy-to-index ii j) sc)
478 (aset lm-score-table (lm-xy-to-index i jj) sc)
479 (aset lm-score-table (lm-xy-to-index ii jj) sc)))
480 ;;;_ - MAINTAINING THE SCORE TABLE.
483 ;; We do not provide functions for computing the SCORE-TABLE given the
484 ;; contents of the BOARD. This would involve heavy nested loops, with time
485 ;; proportional to the size of the board. It is better to update the
486 ;; SCORE-TABLE after each move. Updating needs not modify more than 36
487 ;; squares: it is done in constant time.
489 (defun lm-update-score-table (square dval)
490 "Update score table after SQUARE received a DVAL increment."
491 ;; The board has already been updated when this function is called.
492 ;; Updating scores is done by looking for qtuples boundaries in all four
493 ;; directions and then calling update-score-in-direction.
494 ;; Finally all squares received the right increment, and then are up to
495 ;; date, except possibly for SQUARE itself if we are taking a move back for
496 ;; its score had been set to -1 at the time.
497 (let* ((x (lm-index-to-x square))
498 (y (lm-index-to-y square))
499 (imin (max -4 (- 1 x)))
500 (jmin (max -4 (- 1 y)))
501 (imax (min 0 (- lm-board-width x 4)))
502 (jmax (min 0 (- lm-board-height y 4))))
503 (lm-update-score-in-direction imin imax
504 square 1 0 dval)
505 (lm-update-score-in-direction jmin jmax
506 square 0 1 dval)
507 (lm-update-score-in-direction (max imin jmin) (min imax jmax)
508 square 1 1 dval)
509 (lm-update-score-in-direction (max (- 1 y) -4
510 (- x lm-board-width))
511 (min 0 (- x 5)
512 (- lm-board-height y 4))
513 square -1 1 dval)))
515 (defun lm-update-score-in-direction (left right square dx dy dval)
516 "Update scores for all squares in the qtuples in range.
517 That is, those between the LEFTth square and the RIGHTth after SQUARE,
518 along the DX, DY direction, considering that DVAL has been added on SQUARE."
519 ;; We always have LEFT <= 0, RIGHT <= 0 and DEPL > 0 but we may very well
520 ;; have LEFT > RIGHT, indicating that no qtuple contains SQUARE along that
521 ;; DX,DY direction.
522 (cond
523 ((> left right)) ; Quit
524 (t ; Else ..
525 (let (depl square0 square1 square2 count delta)
526 (setq depl (lm-xy-to-index dx dy)
527 square0 (+ square (* left depl))
528 square1 (+ square (* right depl))
529 square2 (+ square0 (* 4 depl)))
530 ;; Compute the contents of the first qtuple:
531 (setq square square0
532 count 0)
533 (while (<= square square2)
534 (setq count (+ count (aref lm-board square))
535 square (+ square depl)))
536 (while (<= square0 square1)
537 ;; Update the squares of the qtuple beginning in SQUARE0 and ending
538 ;; in SQUARE2.
539 (setq delta (- (aref lm-score-trans-table count)
540 (aref lm-score-trans-table (- count dval))))
541 (cond ((not (zerop delta)) ; or else nothing to update
542 (setq square square0)
543 (while (<= square square2)
544 (if (zerop (aref lm-board square)) ; only for free squares
545 (aset lm-score-table square
546 (+ (aref lm-score-table square) delta)))
547 (setq square (+ square depl)))))
548 ;; Then shift the qtuple one square along DEPL, this only requires
549 ;; modifying SQUARE0 and SQUARE2.
550 (setq square2 (+ square2 depl)
551 count (+ count (- (aref lm-board square0))
552 (aref lm-board square2))
553 square0 (+ square0 depl)))))))
556 ;;; GAME CONTROL.
559 ;; Several variables are used to monitor a game, including a GAME-HISTORY (the
560 ;; list of all (SQUARE . PREVSCORE) played) that allows to take moves back
561 ;; (anti-updating the score table) and to compute the table from scratch in
562 ;; case of an interruption.
564 (defvar lm-game-in-progress nil
565 "Non-nil if a game is in progress.")
567 (defvar lm-game-history nil
568 "A record of all moves that have been played during current game.")
570 (defvar lm-number-of-moves nil
571 "Number of moves already played in current game.")
573 (defvar lm-number-of-human-moves nil
574 "Number of moves already played by human in current game.")
576 (defvar lm-emacs-played-first nil
577 "Non-nil if Emacs played first.")
579 (defvar lm-human-took-back nil
580 "Non-nil if Human took back a move during the game.")
582 (defvar lm-human-refused-draw nil
583 "Non-nil if Human refused Emacs offer of a draw.")
585 (defvar lm-emacs-is-computing nil
586 ;; This is used to detect interruptions. Hopefully, it should not be needed.
587 "Non-nil if Emacs is in the middle of a computation.")
590 (defun lm-start-game (n m)
591 "Initialize a new game on an N by M board."
592 (setq lm-emacs-is-computing t) ; Raise flag
593 (setq lm-game-in-progress t)
594 (setq lm-board-width n
595 lm-board-height m
596 lm-vector-length (1+ (* (+ m 2) (1+ n)))
597 lm-draw-limit (/ (* 7 n m) 10))
598 (setq lm-emacs-won nil
599 lm-game-history nil
600 lm-number-of-moves 0
601 lm-number-of-human-moves 0
602 lm-emacs-played-first nil
603 lm-human-took-back nil
604 lm-human-refused-draw nil)
605 (lm-init-display n m) ; Display first: the rest takes time
606 (lm-init-score-table) ; INIT-BOARD requires that the score
607 (lm-init-board) ; table be already created.
608 (setq lm-emacs-is-computing nil))
610 (defun lm-play-move (square val &optional dont-update-score)
611 "Go to SQUARE, play VAL and update everything."
612 (setq lm-emacs-is-computing t) ; Raise flag
613 (cond ((= 1 val) ; a Human move
614 (setq lm-number-of-human-moves (1+ lm-number-of-human-moves)))
615 ((zerop lm-number-of-moves) ; an Emacs move. Is it first ?
616 (setq lm-emacs-played-first t)))
617 (setq lm-game-history
618 (cons (cons square (aref lm-score-table square))
619 lm-game-history)
620 lm-number-of-moves (1+ lm-number-of-moves))
621 (lm-plot-square square val)
622 (aset lm-board square val) ; *BEFORE* UPDATE-SCORE !
623 (if dont-update-score nil
624 (lm-update-score-table square val) ; previous val was 0: dval = val
625 (aset lm-score-table square -1))
626 (setq lm-emacs-is-computing nil))
628 (defun lm-take-back ()
629 "Take back last move and update everything."
630 (setq lm-emacs-is-computing t)
631 (let* ((last-move (car lm-game-history))
632 (square (car last-move))
633 (oldval (aref lm-board square)))
634 (if (= 1 oldval)
635 (setq lm-number-of-human-moves (1- lm-number-of-human-moves)))
636 (setq lm-game-history (cdr lm-game-history)
637 lm-number-of-moves (1- lm-number-of-moves))
638 (lm-plot-square square 0)
639 (aset lm-board square 0) ; *BEFORE* UPDATE-SCORE !
640 (lm-update-score-table square (- oldval))
641 (aset lm-score-table square (cdr last-move)))
642 (setq lm-emacs-is-computing nil))
645 ;;;_ + SESSION CONTROL.
647 (defvar lm-number-of-trials 0
648 "The number of times that landmark has been run.")
650 (defvar lm-sum-of-moves 0
651 "The total number of moves made in all games.")
653 (defvar lm-number-of-emacs-wins 0
654 "Number of games Emacs won in this session.")
656 (defvar lm-number-of-human-wins 0
657 "Number of games you won in this session.")
659 (defvar lm-number-of-draws 0
660 "Number of games already drawn in this session.")
663 (defun lm-terminate-game (result)
664 "Terminate the current game with RESULT."
665 (setq lm-number-of-trials (1+ lm-number-of-trials))
666 (setq lm-sum-of-moves (+ lm-sum-of-moves lm-number-of-moves))
667 (if (eq result 'crash-game)
668 (message
669 "Sorry, I have been interrupted and cannot resume that game..."))
670 (lm-display-statistics)
671 ;;(ding)
672 (setq lm-game-in-progress nil))
674 (defun lm-crash-game ()
675 "What to do when Emacs detects it has been interrupted."
676 (setq lm-emacs-is-computing nil)
677 (lm-terminate-game 'crash-game)
678 (sit-for 4) ; Let's see the message
679 (lm-prompt-for-other-game))
682 ;;;_ + INTERACTIVE COMMANDS.
684 (defun lm-emacs-plays ()
685 "Compute Emacs next move and play it."
686 (interactive)
687 (lm-switch-to-window)
688 (cond
689 (lm-emacs-is-computing
690 (lm-crash-game))
691 ((not lm-game-in-progress)
692 (lm-prompt-for-other-game))
694 (message "Let me think...")
695 (let (square score)
696 (setq square (lm-strongest-square))
697 (cond ((null square)
698 (lm-terminate-game 'nobody-won))
700 (setq score (aref lm-score-table square))
701 (lm-play-move square 6)
702 (cond ((>= score lm-winning-threshold)
703 (setq lm-emacs-won t) ; for font-lock
704 (lm-find-filled-qtuple square 6)
705 (lm-terminate-game 'emacs-won))
706 ((zerop score)
707 (lm-terminate-game 'nobody-won))
708 ((and (> lm-number-of-moves lm-draw-limit)
709 (not lm-human-refused-draw)
710 (lm-offer-a-draw))
711 (lm-terminate-game 'draw-agreed))
713 (lm-prompt-for-move)))))))))
715 ;; For small square dimensions this is approximate, since though measured in
716 ;; pixels, event's (X . Y) is a character's top-left corner.
717 (defun lm-click (click)
718 "Position at the square where you click."
719 (interactive "e")
720 (and (windowp (posn-window (setq click (event-end click))))
721 (numberp (posn-point click))
722 (select-window (posn-window click))
723 (setq click (posn-col-row click))
724 (lm-goto-xy
725 (min (max (/ (+ (- (car click)
726 lm-x-offset
728 (window-hscroll)
729 lm-square-width
730 (% lm-square-width 2)
731 (/ lm-square-width 2))
732 lm-square-width)
734 lm-board-width)
735 (min (max (/ (+ (- (cdr click)
736 lm-y-offset
738 (let ((inhibit-point-motion-hooks t))
739 (count-lines 1 (window-start)))
740 lm-square-height
741 (% lm-square-height 2)
742 (/ lm-square-height 2))
743 lm-square-height)
745 lm-board-height))))
747 (defun lm-mouse-play (click)
748 "Play at the square where you click."
749 (interactive "e")
750 (if (lm-click click)
751 (lm-human-plays)))
753 (defun lm-human-plays ()
754 "Signal to the Lm program that you have played.
755 You must have put the cursor on the square where you want to play.
756 If the game is finished, this command requests for another game."
757 (interactive)
758 (lm-switch-to-window)
759 (cond
760 (lm-emacs-is-computing
761 (lm-crash-game))
762 ((not lm-game-in-progress)
763 (lm-prompt-for-other-game))
765 (let (square score)
766 (setq square (lm-point-square))
767 (cond ((null square)
768 (error "Your point is not on a square. Retry!"))
769 ((not (zerop (aref lm-board square)))
770 (error "Your point is not on a free square. Retry!"))
772 (setq score (aref lm-score-table square))
773 (lm-play-move square 1)
774 (cond ((and (>= score lm-loosing-threshold)
775 ;; Just testing SCORE > THRESHOLD is not enough for
776 ;; detecting wins, it just gives an indication that
777 ;; we confirm with LM-FIND-FILLED-QTUPLE.
778 (lm-find-filled-qtuple square 1))
779 (lm-terminate-game 'human-won))
781 (lm-emacs-plays)))))))))
783 (defun lm-human-takes-back ()
784 "Signal to the Lm program that you wish to take back your last move."
785 (interactive)
786 (lm-switch-to-window)
787 (cond
788 (lm-emacs-is-computing
789 (lm-crash-game))
790 ((not lm-game-in-progress)
791 (message "Too late for taking back...")
792 (sit-for 4)
793 (lm-prompt-for-other-game))
794 ((zerop lm-number-of-human-moves)
795 (message "You have not played yet... Your move?"))
797 (message "One moment, please...")
798 ;; It is possible for the user to let Emacs play several consecutive
799 ;; moves, so that the best way to know when to stop taking back moves is
800 ;; to count the number of human moves:
801 (setq lm-human-took-back t)
802 (let ((number lm-number-of-human-moves))
803 (while (= number lm-number-of-human-moves)
804 (lm-take-back)))
805 (lm-prompt-for-move))))
807 (defun lm-human-resigns ()
808 "Signal to the Lm program that you may want to resign."
809 (interactive)
810 (lm-switch-to-window)
811 (cond
812 (lm-emacs-is-computing
813 (lm-crash-game))
814 ((not lm-game-in-progress)
815 (message "There is no game in progress"))
816 ((y-or-n-p "You mean, you resign? ")
817 (lm-terminate-game 'human-resigned))
818 ((y-or-n-p "You mean, we continue? ")
819 (lm-prompt-for-move))
821 (lm-terminate-game 'human-resigned)))) ; OK. Accept it
823 ;;;_ + PROMPTING THE HUMAN PLAYER.
825 (defun lm-prompt-for-move ()
826 "Display a message asking for Human's move."
827 (message (if (zerop lm-number-of-human-moves)
828 "Your move? (move to a free square and hit X, RET ...)"
829 "Your move?"))
830 ;; This may seem silly, but if one omits the following line (or a similar
831 ;; one), the cursor may very well go to some place where POINT is not.
832 ;; FIXME: this can't be right!! --Stef
833 (save-excursion (set-buffer (other-buffer))))
835 (defun lm-prompt-for-other-game ()
836 "Ask for another game, and start it."
837 (if (y-or-n-p "Another game? ")
838 (if (y-or-n-p "Retain learned weights ")
839 (lm 2)
840 (lm 1))
841 (message "Chicken!")))
843 (defun lm-offer-a-draw ()
844 "Offer a draw and return t if Human accepted it."
845 (or (y-or-n-p "I offer you a draw. Do you accept it? ")
846 (not (setq lm-human-refused-draw t))))
849 (defun lm-max-width ()
850 "Largest possible board width for the current window."
851 (1+ (/ (- (window-width (selected-window))
852 lm-x-offset lm-x-offset 1)
853 lm-square-width)))
855 (defun lm-max-height ()
856 "Largest possible board height for the current window."
857 (1+ (/ (- (window-height (selected-window))
858 lm-y-offset lm-y-offset 2)
859 ;; 2 instead of 1 because WINDOW-HEIGHT includes the mode line !
860 lm-square-height)))
862 (defun lm-point-y ()
863 "Return the board row where point is."
864 (let ((inhibit-point-motion-hooks t))
865 (1+ (/ (- (count-lines 1 (point)) lm-y-offset (if (bolp) 0 1))
866 lm-square-height))))
868 (defun lm-point-square ()
869 "Return the index of the square point is on."
870 (let ((inhibit-point-motion-hooks t))
871 (lm-xy-to-index (1+ (/ (- (current-column) lm-x-offset)
872 lm-square-width))
873 (lm-point-y))))
875 (defun lm-goto-square (index)
876 "Move point to square number INDEX."
877 (lm-goto-xy (lm-index-to-x index) (lm-index-to-y index)))
879 (defun lm-goto-xy (x y)
880 "Move point to square at X, Y coords."
881 (let ((inhibit-point-motion-hooks t))
882 (goto-char (point-min))
883 (forward-line (+ lm-y-offset (* lm-square-height (1- y)))))
884 (move-to-column (+ lm-x-offset (* lm-square-width (1- x)))))
886 (defun lm-plot-square (square value)
887 "Draw 'X', 'O' or '.' on SQUARE depending on VALUE, leave point there."
888 (or (= value 1)
889 (lm-goto-square square))
890 (let ((inhibit-read-only t)
891 (inhibit-point-motion-hooks t))
892 (insert-and-inherit (cond ((= value 1) ?.)
893 ((= value 2) ?N)
894 ((= value 3) ?S)
895 ((= value 4) ?E)
896 ((= value 5) ?W)
897 ((= value 6) ?^)))
899 (and (zerop value)
900 (add-text-properties (1- (point)) (point)
901 '(mouse-face highlight
902 help-echo "\
903 mouse-1: get robot moving, mouse-2: play on this square")))
904 (delete-char 1)
905 (backward-char 1))
906 (sit-for 0)) ; Display NOW
908 (defun lm-init-display (n m)
909 "Display an N by M Lm board."
910 (buffer-disable-undo (current-buffer))
911 (let ((inhibit-read-only t)
912 (point 1) opoint
913 (intangible t)
914 (i m) j x)
915 ;; Try to minimize number of chars (because of text properties)
916 (setq tab-width
917 (if (zerop (% lm-x-offset lm-square-width))
918 lm-square-width
919 (max (/ (+ (% lm-x-offset lm-square-width)
920 lm-square-width 1) 2) 2)))
921 (erase-buffer)
922 (newline lm-y-offset)
923 (while (progn
924 (setq j n
925 x (- lm-x-offset lm-square-width))
926 (while (>= (setq j (1- j)) 0)
927 (insert-char ?\t (/ (- (setq x (+ x lm-square-width))
928 (current-column))
929 tab-width))
930 (insert-char ? (- x (current-column)))
931 (if (setq intangible (not intangible))
932 (put-text-property point (point) 'intangible 2))
933 (and (zerop j)
934 (= i (- m 2))
935 (progn
936 (while (>= i 3)
937 (append-to-buffer (current-buffer) opoint (point))
938 (setq i (- i 2)))
939 (goto-char (point-max))))
940 (setq point (point))
941 (insert ?=)
942 (add-text-properties point (point)
943 '(mouse-face highlight help-echo "\
944 mouse-1: get robot moving, mouse-2: play on this square")))
945 (> (setq i (1- i)) 0))
946 (if (= i (1- m))
947 (setq opoint point))
948 (insert-char ?\n lm-square-height))
949 (or (eq (char-after 1) ?.)
950 (put-text-property 1 2 'point-entered
951 (lambda (x y) (if (bobp) (forward-char)))))
952 (or intangible
953 (put-text-property point (point) 'intangible 2))
954 (put-text-property point (point) 'point-entered
955 (lambda (x y) (if (eobp) (backward-char))))
956 (put-text-property (point-min) (point) 'category 'lm-mode))
957 (lm-goto-xy (/ (1+ n) 2) (/ (1+ m) 2)) ; center of the board
958 (sit-for 0)) ; Display NOW
960 (defun lm-display-statistics ()
961 "Obnoxiously display some statistics about previous games in mode line."
962 ;; We store this string in the mode-line-process local variable.
963 ;; This is certainly not the cleanest way out ...
964 (setq mode-line-process
965 (format ": Trials: %d, Avg#Moves: %d"
966 lm-number-of-trials
967 (if (zerop lm-number-of-trials)
969 (/ lm-sum-of-moves lm-number-of-trials))))
970 (force-mode-line-update))
972 (defun lm-switch-to-window ()
973 "Find or create the Lm buffer, and display it."
974 (interactive)
975 (let ((buff (get-buffer "*Lm*")))
976 (if buff ; Buffer exists:
977 (switch-to-buffer buff) ; no problem.
978 (if lm-game-in-progress
979 (lm-crash-game)) ; buffer has been killed or something
980 (switch-to-buffer "*Lm*") ; Anyway, start anew.
981 (lm-mode))))
984 ;;;_ + CROSSING WINNING QTUPLES.
986 ;; When someone succeeds in filling a qtuple, we draw a line over the five
987 ;; corresponding squares. One problem is that the program does not know which
988 ;; squares ! It only knows the square where the last move has been played and
989 ;; who won. The solution is to scan the board along all four directions.
991 (defun lm-find-filled-qtuple (square value)
992 "Return t if SQUARE belongs to a qtuple filled with VALUEs."
993 (or (lm-check-filled-qtuple square value 1 0)
994 (lm-check-filled-qtuple square value 0 1)
995 (lm-check-filled-qtuple square value 1 1)
996 (lm-check-filled-qtuple square value -1 1)))
998 (defun lm-check-filled-qtuple (square value dx dy)
999 "Return t if SQUARE belongs to a qtuple filled with VALUEs along DX, DY."
1000 (let ((a 0) (b 0)
1001 (left square) (right square)
1002 (depl (lm-xy-to-index dx dy)))
1003 (while (and (> a -4) ; stretch tuple left
1004 (= value (aref lm-board (setq left (- left depl)))))
1005 (setq a (1- a)))
1006 (while (and (< b (+ a 4)) ; stretch tuple right
1007 (= value (aref lm-board (setq right (+ right depl)))))
1008 (setq b (1+ b)))
1009 (cond ((= b (+ a 4)) ; tuple length = 5 ?
1010 (lm-cross-qtuple (+ square (* a depl)) (+ square (* b depl))
1011 dx dy)
1012 t))))
1014 (defun lm-cross-qtuple (square1 square2 dx dy)
1015 "Cross every square between SQUARE1 and SQUARE2 in the DX, DY direction."
1016 (save-excursion ; Not moving point from last square
1017 (let ((depl (lm-xy-to-index dx dy))
1018 (inhibit-read-only t)
1019 (inhibit-point-motion-hooks t))
1020 ;; WARNING: this function assumes DEPL > 0 and SQUARE2 > SQUARE1
1021 (while (/= square1 square2)
1022 (lm-goto-square square1)
1023 (setq square1 (+ square1 depl))
1024 (cond
1025 ((= dy 0) ; Horizontal
1026 (forward-char 1)
1027 (insert-char ?- (1- lm-square-width) t)
1028 (delete-region (point) (progn
1029 (skip-chars-forward " \t")
1030 (point))))
1031 ((= dx 0) ; Vertical
1032 (let ((lm-n 1)
1033 (column (current-column)))
1034 (while (< lm-n lm-square-height)
1035 (setq lm-n (1+ lm-n))
1036 (forward-line 1)
1037 (indent-to column)
1038 (insert-and-inherit ?|))))
1039 ((= dx -1) ; 1st Diagonal
1040 (indent-to (prog1 (- (current-column) (/ lm-square-width 2))
1041 (forward-line (/ lm-square-height 2))))
1042 (insert-and-inherit ?/))
1043 (t ; 2nd Diagonal
1044 (indent-to (prog1 (+ (current-column) (/ lm-square-width 2))
1045 (forward-line (/ lm-square-height 2))))
1046 (insert-and-inherit ?\\))))))
1047 (sit-for 0)) ; Display NOW
1050 ;;;_ + CURSOR MOTION.
1052 ;; previous-line and next-line don't work right with intangible newlines
1053 (defun lm-move-down ()
1054 "Move point down one row on the Lm board."
1055 (interactive)
1056 (if (< (lm-point-y) lm-board-height)
1057 (forward-line 1)));;; lm-square-height)))
1059 (defun lm-move-up ()
1060 "Move point up one row on the Lm board."
1061 (interactive)
1062 (if (> (lm-point-y) 1)
1063 (forward-line (- lm-square-height))))
1065 (defun lm-move-ne ()
1066 "Move point North East on the Lm board."
1067 (interactive)
1068 (lm-move-up)
1069 (forward-char))
1071 (defun lm-move-se ()
1072 "Move point South East on the Lm board."
1073 (interactive)
1074 (lm-move-down)
1075 (forward-char))
1077 (defun lm-move-nw ()
1078 "Move point North West on the Lm board."
1079 (interactive)
1080 (lm-move-up)
1081 (backward-char))
1083 (defun lm-move-sw ()
1084 "Move point South West on the Lm board."
1085 (interactive)
1086 (lm-move-down)
1087 (backward-char))
1089 (defun lm-beginning-of-line ()
1090 "Move point to first square on the Lm board row."
1091 (interactive)
1092 (move-to-column lm-x-offset))
1094 (defun lm-end-of-line ()
1095 "Move point to last square on the Lm board row."
1096 (interactive)
1097 (move-to-column (+ lm-x-offset
1098 (* lm-square-width (1- lm-board-width)))))
1101 ;;;_ + Simulation variables
1103 ;;;_ - lm-nvar
1104 (defvar lm-nvar 0.0075
1105 "Not used.
1106 Affects a noise generator which was used in an earlier incarnation of
1107 this program to add a random element to the way moves were made.")
1108 ;;;_ - lists of cardinal directions
1109 ;;;_ :
1110 (defvar lm-ns '(lm-n lm-s)
1111 "Used when doing something relative to the north and south axes.")
1112 (defvar lm-ew '(lm-e lm-w)
1113 "Used when doing something relative to the east and west axes.")
1114 (defvar lm-directions '(lm-n lm-s lm-e lm-w)
1115 "The cardinal directions.")
1116 (defvar lm-8-directions
1117 '((lm-n) (lm-n lm-w) (lm-w) (lm-s lm-w)
1118 (lm-s) (lm-s lm-e) (lm-e) (lm-n lm-e))
1119 "The full 8 possible directions.")
1121 (defvar lm-number-of-moves
1122 "The number of moves made by the robot so far.")
1125 ;;;_* Terry's mods to create lm.el
1127 ;;;(setq lm-debug nil)
1128 (defvar lm-debug nil
1129 "If non-nil, debugging is printed.")
1130 (defcustom lm-one-moment-please nil
1131 "If non-nil, print \"One moment please\" when a new board is generated.
1132 The drawback of this is you don't see how many moves the last run took
1133 because it is overwritten by \"One moment please\"."
1134 :type 'boolean
1135 :group 'lm)
1136 (defcustom lm-output-moves t
1137 "If non-nil, output number of moves so far on a move-by-move basis."
1138 :type 'boolean
1139 :group 'lm)
1142 (defun lm-weights-debug ()
1143 (if lm-debug
1144 (progn (lm-print-wts) (lm-blackbox) (lm-print-y,s,noise)
1145 (lm-print-smell))))
1147 ;;;_ - Printing various things
1148 (defun lm-print-distance-int (direction)
1149 (interactive)
1150 (insert (format "%S %S " direction (get direction 'distance))))
1153 (defun lm-print-distance ()
1154 (insert (format "tree: %S \n" (calc-distance-of-robot-from 'lm-tree)))
1155 (mapc 'lm-print-distance-int lm-directions))
1158 ;;(setq direction 'lm-n)
1159 ;;(get 'lm-n 'lm-s)
1160 (defun lm-nslify-wts-int (direction)
1161 (mapcar (lambda (target-direction)
1162 (get direction target-direction))
1163 lm-directions))
1166 (defun lm-nslify-wts ()
1167 (interactive)
1168 (let ((l (apply 'append (mapcar 'lm-nslify-wts-int lm-directions))))
1169 (insert (format "set data_value WTS \n %s \n" l))
1170 (insert (format "/* max: %S min: %S */"
1171 (eval (cons 'max l)) (eval (cons 'min l))))))
1173 (defun lm-print-wts-int (direction)
1174 (mapc (lambda (target-direction)
1175 (insert (format "%S %S %S "
1176 direction
1177 target-direction
1178 (get direction target-direction))))
1179 lm-directions)
1180 (insert "\n"))
1182 (defun lm-print-wts ()
1183 (interactive)
1184 (with-current-buffer "*lm-wts*"
1185 (insert "==============================\n")
1186 (mapc 'lm-print-wts-int lm-directions)))
1188 (defun lm-print-moves (moves)
1189 (interactive)
1190 (with-current-buffer "*lm-moves*"
1191 (insert (format "%S\n" moves))))
1194 (defun lm-print-y,s,noise-int (direction)
1195 (insert (format "%S:lm-y %S, s %S, noise %S \n"
1196 (symbol-name direction)
1197 (get direction 'y_t)
1198 (get direction 's)
1199 (get direction 'noise)
1202 (defun lm-print-y,s,noise ()
1203 (interactive)
1204 (with-current-buffer "*lm-y,s,noise*"
1205 (insert "==============================\n")
1206 (mapc 'lm-print-y,s,noise-int lm-directions)))
1208 (defun lm-print-smell-int (direction)
1209 (insert (format "%S: smell: %S \n"
1210 (symbol-name direction)
1211 (get direction 'smell))))
1213 (defun lm-print-smell ()
1214 (interactive)
1215 (with-current-buffer "*lm-smell*"
1216 (insert "==============================\n")
1217 (insert (format "tree: %S \n" (get 'z 't)))
1218 (mapc 'lm-print-smell-int lm-directions)))
1220 (defun lm-print-w0-int (direction)
1221 (insert (format "%S: w0: %S \n"
1222 (symbol-name direction)
1223 (get direction 'w0))))
1225 (defun lm-print-w0 ()
1226 (interactive)
1227 (with-current-buffer "*lm-w0*"
1228 (insert "==============================\n")
1229 (mapc 'lm-print-w0-int lm-directions)))
1231 (defun lm-blackbox ()
1232 (with-current-buffer "*lm-blackbox*"
1233 (insert "==============================\n")
1234 (insert "I smell: ")
1235 (mapc (lambda (direction)
1236 (if (> (get direction 'smell) 0)
1237 (insert (format "%S " direction))))
1238 lm-directions)
1239 (insert "\n")
1241 (insert "I move: ")
1242 (mapc (lambda (direction)
1243 (if (> (get direction 'y_t) 0)
1244 (insert (format "%S " direction))))
1245 lm-directions)
1246 (insert "\n")
1247 (lm-print-wts-blackbox)
1248 (insert (format "z_t-z_t-1: %S" (- (get 'z 't) (get 'z 't-1))))
1249 (lm-print-distance)
1250 (insert "\n")))
1252 (defun lm-print-wts-blackbox ()
1253 (interactive)
1254 (mapc 'lm-print-wts-int lm-directions))
1256 ;;;_ - learning parameters
1257 (defcustom lm-bound 0.005
1258 "The maximum that w0j may be."
1259 :type 'number
1260 :group 'lm)
1261 (defcustom lm-c 1.0
1262 "A factor applied to modulate the increase in wij.
1263 Used in the function lm-update-normal-weights."
1264 :type 'number
1265 :group 'lm)
1266 (defcustom lm-c-naught 0.5
1267 "A factor applied to modulate the increase in w0j.
1268 Used in the function lm-update-naught-weights."
1269 :type 'number
1270 :group 'lm)
1271 (defvar lm-initial-w0 0.0)
1272 (defvar lm-initial-wij 0.0)
1273 (defcustom lm-no-payoff 0
1274 "The amount of simulation cycles that have occurred with no movement.
1275 Used to move the robot when he is stuck in a rut for some reason."
1276 :type 'integer
1277 :group 'lm)
1278 (defcustom lm-max-stall-time 2
1279 "The maximum number of cycles that the robot can remain stuck in a place.
1280 After this limit is reached, lm-random-move is called to push him out of it."
1281 :type 'integer
1282 :group 'lm)
1285 ;;;_ + Randomizing functions
1286 ;;;_ - lm-flip-a-coin ()
1287 (defun lm-flip-a-coin ()
1288 (if (> (random 5000) 2500)
1291 ;;;_ : lm-very-small-random-number ()
1292 ;(defun lm-very-small-random-number ()
1293 ; (/
1294 ; (* (/ (random 900000) 900000.0) .0001)))
1295 ;;;_ : lm-randomize-weights-for (direction)
1296 (defun lm-randomize-weights-for (direction)
1297 (mapc (lambda (target-direction)
1298 (put direction
1299 target-direction
1300 (* (lm-flip-a-coin) (/ (random 10000) 10000.0))))
1301 lm-directions))
1302 ;;;_ : lm-noise ()
1303 (defun lm-noise ()
1304 (* (- (/ (random 30001) 15000.0) 1) lm-nvar))
1306 ;;;_ : lm-fix-weights-for (direction)
1307 (defun lm-fix-weights-for (direction)
1308 (mapc (lambda (target-direction)
1309 (put direction
1310 target-direction
1311 lm-initial-wij))
1312 lm-directions))
1315 ;;;_ + Plotting functions
1316 ;;;_ - lm-plot-internal (sym)
1317 (defun lm-plot-internal (sym)
1318 (lm-plot-square (lm-xy-to-index
1319 (get sym 'x)
1320 (get sym 'y))
1321 (get sym 'sym)))
1322 ;;;_ - lm-plot-landmarks ()
1323 (defun lm-plot-landmarks ()
1324 (setq lm-cx (/ lm-board-width 2))
1325 (setq lm-cy (/ lm-board-height 2))
1327 (put 'lm-n 'x lm-cx)
1328 (put 'lm-n 'y 1)
1329 (put 'lm-n 'sym 2)
1331 (put 'lm-tree 'x lm-cx)
1332 (put 'lm-tree 'y lm-cy)
1333 (put 'lm-tree 'sym 6)
1335 (put 'lm-s 'x lm-cx)
1336 (put 'lm-s 'y lm-board-height)
1337 (put 'lm-s 'sym 3)
1339 (put 'lm-w 'x 1)
1340 (put 'lm-w 'y (/ lm-board-height 2))
1341 (put 'lm-w 'sym 5)
1343 (put 'lm-e 'x lm-board-width)
1344 (put 'lm-e 'y (/ lm-board-height 2))
1345 (put 'lm-e 'sym 4)
1347 (mapc 'lm-plot-internal '(lm-n lm-s lm-e lm-w lm-tree)))
1351 ;;;_ + Distance-calculation functions
1352 ;;;_ - square (a)
1353 (defun square (a)
1354 (* a a))
1356 ;;;_ - distance (x x0 y y0)
1357 (defun distance (x x0 y y0)
1358 (sqrt (+ (square (- x x0)) (square (- y y0)))))
1360 ;;;_ - calc-distance-of-robot-from (direction)
1361 (defun calc-distance-of-robot-from (direction)
1362 (put direction 'distance
1363 (distance (get direction 'x)
1364 (lm-index-to-x (lm-point-square))
1365 (get direction 'y)
1366 (lm-index-to-y (lm-point-square)))))
1368 ;;;_ - calc-smell-internal (sym)
1369 (defun calc-smell-internal (sym)
1370 (let ((r (get sym 'r))
1371 (d (calc-distance-of-robot-from sym)))
1372 (if (> (* 0.5 (- 1 (/ d r))) 0)
1373 (* 0.5 (- 1 (/ d r)))
1374 0)))
1377 ;;;_ + Learning (neural) functions
1378 (defun lm-f (x)
1379 (cond
1380 ((> x lm-bound) lm-bound)
1381 ((< x 0.0) 0.0)
1382 (t x)))
1384 (defun lm-y (direction)
1385 (let ((noise (put direction 'noise (lm-noise))))
1386 (put direction 'y_t
1387 (if (> (get direction 's) 0.0)
1389 0.0))))
1391 (defun lm-update-normal-weights (direction)
1392 (mapc (lambda (target-direction)
1393 (put direction target-direction
1395 (get direction target-direction)
1396 (* lm-c
1397 (- (get 'z 't) (get 'z 't-1))
1398 (get target-direction 'y_t)
1399 (get direction 'smell)))))
1400 lm-directions))
1402 (defun lm-update-naught-weights (direction)
1403 (mapc (lambda (target-direction)
1404 (put direction 'w0
1405 (lm-f
1407 (get direction 'w0)
1408 (* lm-c-naught
1409 (- (get 'z 't) (get 'z 't-1))
1410 (get direction 'y_t))))))
1411 lm-directions))
1414 ;;;_ + Statistics gathering and creating functions
1416 (defun lm-calc-current-smells ()
1417 (mapc (lambda (direction)
1418 (put direction 'smell (calc-smell-internal direction)))
1419 lm-directions))
1421 (defun lm-calc-payoff ()
1422 (put 'z 't-1 (get 'z 't))
1423 (put 'z 't (calc-smell-internal 'lm-tree))
1424 (if (= (- (get 'z 't) (get 'z 't-1)) 0.0)
1425 (incf lm-no-payoff)
1426 (setf lm-no-payoff 0)))
1428 (defun lm-store-old-y_t ()
1429 (mapc (lambda (direction)
1430 (put direction 'y_t-1 (get direction 'y_t)))
1431 lm-directions))
1434 ;;;_ + Functions to move robot
1436 (defun lm-confidence-for (target-direction)
1437 (apply '+
1438 (get target-direction 'w0)
1439 (mapcar (lambda (direction)
1441 (get direction target-direction)
1442 (get direction 'smell)))
1443 lm-directions)))
1446 (defun lm-calc-confidences ()
1447 (mapc (lambda (direction)
1448 (put direction 's (lm-confidence-for direction)))
1449 lm-directions))
1451 (defun lm-move ()
1452 (if (and (= (get 'lm-n 'y_t) 1.0) (= (get 'lm-s 'y_t) 1.0))
1453 (progn
1454 (mapc (lambda (dir) (put dir 'y_t 0)) lm-ns)
1455 (if lm-debug
1456 (message "n-s normalization."))))
1457 (if (and (= (get 'lm-w 'y_t) 1.0) (= (get 'lm-e 'y_t) 1.0))
1458 (progn
1459 (mapc (lambda (dir) (put dir 'y_t 0)) lm-ew)
1460 (if lm-debug
1461 (message "e-w normalization"))))
1463 (mapc (lambda (pair)
1464 (if (> (get (car pair) 'y_t) 0)
1465 (funcall (car (cdr pair)))))
1467 (lm-n lm-move-up)
1468 (lm-s lm-move-down)
1469 (lm-e forward-char)
1470 (lm-w backward-char)))
1471 (lm-plot-square (lm-point-square) 1)
1472 (incf lm-number-of-moves)
1473 (if lm-output-moves
1474 (message "Moves made: %d" lm-number-of-moves)))
1477 (defun lm-random-move ()
1478 (mapc
1479 (lambda (direction) (put direction 'y_t 0))
1480 lm-directions)
1481 (dolist (direction (nth (random 8) lm-8-directions))
1482 (put direction 'y_t 1.0))
1483 (lm-move))
1485 (defun lm-amble-robot ()
1486 (interactive)
1487 (while (> (calc-distance-of-robot-from 'lm-tree) 0)
1489 (lm-store-old-y_t)
1490 (lm-calc-current-smells)
1492 (if (> lm-no-payoff lm-max-stall-time)
1493 (lm-random-move)
1494 (progn
1495 (lm-calc-confidences)
1496 (mapc 'lm-y lm-directions)
1497 (lm-move)))
1499 (lm-calc-payoff)
1501 (mapc 'lm-update-normal-weights lm-directions)
1502 (mapc 'lm-update-naught-weights lm-directions)
1503 (if lm-debug
1504 (lm-weights-debug)))
1505 (lm-terminate-game nil))
1508 ;;;_ - lm-start-robot ()
1509 (defun lm-start-robot ()
1510 "Signal to the Lm program that you have played.
1511 You must have put the cursor on the square where you want to play.
1512 If the game is finished, this command requests for another game."
1513 (interactive)
1514 (lm-switch-to-window)
1515 (cond
1516 (lm-emacs-is-computing
1517 (lm-crash-game))
1518 ((not lm-game-in-progress)
1519 (lm-prompt-for-other-game))
1521 (let (square score)
1522 (setq square (lm-point-square))
1523 (cond ((null square)
1524 (error "Your point is not on a square. Retry!"))
1525 ((not (zerop (aref lm-board square)))
1526 (error "Your point is not on a free square. Retry!"))
1528 (progn
1529 (lm-plot-square square 1)
1531 (lm-store-old-y_t)
1532 (lm-calc-current-smells)
1533 (put 'z 't (calc-smell-internal 'lm-tree))
1535 (lm-random-move)
1537 (lm-calc-payoff)
1539 (mapc 'lm-update-normal-weights lm-directions)
1540 (mapc 'lm-update-naught-weights lm-directions)
1541 (lm-amble-robot)
1542 )))))))
1545 ;;;_ + Misc functions
1546 ;;;_ - lm-init (auto-start save-weights)
1547 (defvar lm-tree-r "")
1549 (defun lm-init (auto-start save-weights)
1551 (setq lm-number-of-moves 0)
1553 (lm-plot-landmarks)
1555 (if lm-debug
1556 (save-current-buffer
1557 (set-buffer (get-buffer-create "*lm-w0*"))
1558 (erase-buffer)
1559 (set-buffer (get-buffer-create "*lm-moves*"))
1560 (set-buffer (get-buffer-create "*lm-wts*"))
1561 (erase-buffer)
1562 (set-buffer (get-buffer-create "*lm-y,s,noise*"))
1563 (erase-buffer)
1564 (set-buffer (get-buffer-create "*lm-smell*"))
1565 (erase-buffer)
1566 (set-buffer (get-buffer-create "*lm-blackbox*"))
1567 (erase-buffer)
1568 (set-buffer (get-buffer-create "*lm-distance*"))
1569 (erase-buffer)))
1572 (lm-set-landmark-signal-strengths)
1574 (dolist (direction lm-directions)
1575 (put direction 'y_t 0.0))
1577 (if (not save-weights)
1578 (progn
1579 (mapc 'lm-fix-weights-for lm-directions)
1580 (dolist (direction lm-directions)
1581 (put direction 'w0 lm-initial-w0)))
1582 (message "Weights preserved for this run."))
1584 (if auto-start
1585 (progn
1586 (lm-goto-xy (1+ (random lm-board-width)) (1+ (random lm-board-height)))
1587 (lm-start-robot))))
1590 ;;;_ - something which doesn't work
1591 ; no-a-worka!!
1592 ;(defum lm-sum-list (list)
1593 ; (if (> (length list) 0)
1594 ; (+ (car list) (lm-sum-list (cdr list)))
1595 ; 0))
1596 ; this a worka!
1597 ; (eval (cons '+ list))
1598 ;;;_ - lm-set-landmark-signal-strengths ()
1599 ;;; on a screen higher than wide, I noticed that the robot would amble
1600 ;;; left and right and not move forward. examining *lm-blackbox*
1601 ;;; revealed that there was no scent from the north and south
1602 ;;; landmarks, hence, they need less factoring down of the effect of
1603 ;;; distance on scent.
1605 (defun lm-set-landmark-signal-strengths ()
1607 (setq lm-tree-r (* (sqrt (+ (square lm-cx) (square lm-cy))) 1.5))
1609 (mapc (lambda (direction)
1610 (put direction 'r (* lm-cx 1.1)))
1611 lm-ew)
1612 (mapc (lambda (direction)
1613 (put direction 'r (* lm-cy 1.1)))
1614 lm-ns)
1615 (put 'lm-tree 'r lm-tree-r))
1618 ;;;_ + lm-test-run ()
1620 ;;;###autoload
1621 (defalias 'landmark-repeat 'lm-test-run)
1622 ;;;###autoload
1623 (defun lm-test-run ()
1624 "Run 100 Lm games, each time saving the weights from the previous game."
1625 (interactive)
1627 (lm 1)
1629 (dotimes (scratch-var 100)
1631 (lm 2)))
1634 ;;;_ + lm: The function you invoke to play
1636 ;;;###autoload
1637 (defalias 'landmark 'lm)
1638 ;;;###autoload
1639 (defun lm (parg)
1640 "Start or resume an Lm game.
1641 If a game is in progress, this command allows you to resume it.
1642 Here is the relation between prefix args and game options:
1644 prefix arg | robot is auto-started | weights are saved from last game
1645 ---------------------------------------------------------------------
1646 none / 1 | yes | no
1647 2 | yes | yes
1648 3 | no | yes
1649 4 | no | no
1651 You start by moving to a square and typing \\[lm-start-robot],
1652 if you did not use a prefix arg to ask for automatic start.
1653 Use \\[describe-mode] for more info."
1654 (interactive "p")
1656 (setf lm-n nil lm-m nil)
1657 (lm-switch-to-window)
1658 (cond
1659 (lm-emacs-is-computing
1660 (lm-crash-game))
1661 ((or (not lm-game-in-progress)
1662 (<= lm-number-of-moves 2))
1663 (let ((max-width (lm-max-width))
1664 (max-height (lm-max-height)))
1665 (or lm-n (setq lm-n max-width))
1666 (or lm-m (setq lm-m max-height))
1667 (cond ((< lm-n 1)
1668 (error "I need at least 1 column"))
1669 ((< lm-m 1)
1670 (error "I need at least 1 row"))
1671 ((> lm-n max-width)
1672 (error "I cannot display %d columns in that window" lm-n)))
1673 (if (and (> lm-m max-height)
1674 (not (eq lm-m lm-saved-board-height))
1675 ;; Use EQ because SAVED-BOARD-HEIGHT may be nil
1676 (not (y-or-n-p (format "Do you really want %d rows? " lm-m))))
1677 (setq lm-m max-height)))
1678 (if lm-one-moment-please
1679 (message "One moment, please..."))
1680 (lm-start-game lm-n lm-m)
1681 (eval (cons 'lm-init
1682 (cond
1683 ((= parg 1) '(t nil))
1684 ((= parg 2) '(t t))
1685 ((= parg 3) '(nil t))
1686 ((= parg 4) '(nil nil))
1687 (t '(nil t))))))))
1690 ;;;_ + Local variables
1692 ;;; The following `allout-layout' local variable setting:
1693 ;;; - closes all topics from the first topic to just before the third-to-last,
1694 ;;; - shows the children of the third to last (config vars)
1695 ;;; - and the second to last (code section),
1696 ;;; - and closes the last topic (this local-variables section).
1697 ;;;Local variables:
1698 ;;;allout-layout: (0 : -1 -1 0)
1699 ;;;End:
1701 (random t)
1703 (provide 'landmark)
1705 ;;; landmark.el ends here