algor.cc revision 1.6 1 1.6 rillig /* $NetBSD: algor.cc,v 1.6 2021/12/05 09:22:45 rillig Exp $ */
2 1.1 christos
3 1.1 christos /*-
4 1.1 christos * Copyright (c) 2003 The NetBSD Foundation, Inc.
5 1.1 christos * All rights reserved.
6 1.1 christos *
7 1.1 christos * This code is derived from software contributed to The NetBSD Foundation
8 1.1 christos * by Christos Zoulas.
9 1.1 christos *
10 1.1 christos * Redistribution and use in source and binary forms, with or without
11 1.1 christos * modification, are permitted provided that the following conditions
12 1.1 christos * are met:
13 1.1 christos * 1. Redistributions of source code must retain the above copyright
14 1.1 christos * notice, this list of conditions and the following disclaimer.
15 1.1 christos * 2. Redistributions in binary form must reproduce the above copyright
16 1.1 christos * notice, this list of conditions and the following disclaimer in the
17 1.1 christos * documentation and/or other materials provided with the distribution.
18 1.1 christos *
19 1.1 christos * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
20 1.1 christos * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
21 1.1 christos * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
22 1.1 christos * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
23 1.1 christos * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
24 1.1 christos * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
25 1.1 christos * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
26 1.1 christos * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
27 1.1 christos * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
28 1.1 christos * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
29 1.1 christos * POSSIBILITY OF SUCH DAMAGE.
30 1.1 christos */
31 1.1 christos
32 1.1 christos /*
33 1.6 rillig * Computer algorithm
34 1.1 christos */
35 1.6 rillig
36 1.1 christos #include "defs.h"
37 1.6 rillig RCSID("$NetBSD: algor.cc,v 1.6 2021/12/05 09:22:45 rillig Exp $")
38 1.1 christos
39 1.1 christos #include "algor.h"
40 1.1 christos #include "board.h"
41 1.1 christos #include "box.h"
42 1.1 christos #include "random.h"
43 1.1 christos
44 1.1 christos ALGOR::ALGOR(const char c) : PLAYER(c)
45 1.1 christos {
46 1.1 christos #ifdef notyet
47 1.1 christos // Single Edges = (x + y) * 2
48 1.1 christos _edge1 = (_b.nx() * _b.ny()) * 2;
49 1.1 christos // Shared Edges = (x * (y - 1)) + ((x - 1) * y)
50 1.1 christos _edge2 = (_b.nx() * (_b.ny() - 1)) + ((_b.nx() - 1) * _b.ny());
51 1.1 christos // Maximum Edges filled before closure = x * y * 2
52 1.1 christos _maxedge = _b.nx() * _b.ny() * 2;
53 1.1 christos #endif
54 1.1 christos }
55 1.1 christos
56 1.1 christos // Find the first closure, i.e. a box that has 3 edges
57 1.1 christos int ALGOR::find_closure(size_t& y, size_t& x, int& dir, BOARD& b)
58 1.1 christos {
59 1.1 christos RANDOM rdy(b.ny()), rdx(b.nx());
60 1.1 christos
61 1.1 christos for (y = rdy(); y < b.ny(); y = rdy()) {
62 1.1 christos rdx.clear();
63 1.1 christos for (x = rdx(); x < b.nx(); x = rdx()) {
64 1.1 christos BOX box(y, x, b);
65 1.1 christos if (box.count() == 3) {
66 1.1 christos for (dir = BOX::first; dir < BOX::last; dir++)
67 1.1 christos if (!box.isset(dir))
68 1.1 christos return 1;
69 1.5 joerg b.abort("find_closure: 3 sided box[%zu,%zu] has no free sides",
70 1.1 christos y, x);
71 1.1 christos }
72 1.1 christos }
73 1.1 christos }
74 1.1 christos return 0;
75 1.1 christos }
76 1.1 christos
77 1.1 christos #if 0
78 1.1 christos size_t ALGOR::find_single()
79 1.1 christos {
80 1.1 christos size_t ne;
81 1.1 christos
82 1.1 christos // Find the number of single edges in use
83 1.1 christos for (size_t x = 0; x < b.nx(); x++) {
84 1.1 christos BOX tbox(0, x, b);
85 1.1 christos ne += tbox.isset(BOX::top);
86 1.1 christos BOX bbox(b.ny() - 1, x, b);
87 1.1 christos ne += bbox.isset(BOX::bottom);
88 1.1 christos }
89 1.1 christos for (size_t y = 0; y < _b.ny(); y++) {
90 1.1 christos BOX lbox(y, 0, b);
91 1.1 christos ne += lbox.isset(BOX::left);
92 1.1 christos BOX rbox(y,_b.nx() - 1, b);
93 1.1 christos ne += rbox.isset(BOX::right);
94 1.1 christos }
95 1.1 christos return ne;
96 1.1 christos }
97 1.1 christos #endif
98 1.1 christos
99 1.1 christos
100 1.1 christos // Count a closure, by counting all boxes that we can close in the current
101 1.1 christos // move
102 1.1 christos size_t ALGOR::count_closure(size_t& y, size_t& x, int& dir, BOARD& b)
103 1.1 christos {
104 1.1 christos size_t i = 0;
105 1.1 christos size_t tx, ty;
106 1.1 christos int tdir, mv;
107 1.1 christos
108 1.1 christos while (find_closure(ty, tx, tdir, b)) {
109 1.1 christos if (i == 0) {
110 1.1 christos // Mark the beginning of the closure
111 1.1 christos x = tx;
112 1.1 christos y = ty;
113 1.1 christos dir = tdir;
114 1.1 christos }
115 1.1 christos if ((mv = b.domove(ty, tx, tdir, getWho())) == -1)
116 1.5 joerg b.abort("count_closure: Invalid move (%zu, %zu, %d)", y, x, dir);
117 1.1 christos else
118 1.1 christos i += mv;
119 1.1 christos }
120 1.1 christos return i;
121 1.1 christos }
122 1.1 christos
123 1.1 christos
124 1.1 christos /*
125 1.1 christos * Find the largest closure, by closing all possible closures.
126 1.1 christos * return the number of boxes closed in the maximum closure,
127 1.1 christos * and the first box of the maximum closure in (x, y, dir)
128 1.1 christos */
129 1.2 christos size_t ALGOR::find_max_closure(size_t& y, size_t& x, int& dir, const BOARD& b)
130 1.1 christos {
131 1.1 christos BOARD nb(b);
132 1.3 christos int maxdir = -1;
133 1.1 christos size_t nbox, maxbox = 0;
134 1.3 christos size_t maxx = ~0, maxy = ~0;
135 1.3 christos size_t tx = 0, ty = 0; /* XXX: GCC */
136 1.3 christos int tdir = 0; /* XXX: GCC */
137 1.1 christos
138 1.1 christos while ((nbox = count_closure(ty, tx, tdir, nb)) != 0)
139 1.1 christos if (nbox > maxbox) {
140 1.1 christos // This closure is better, update max
141 1.1 christos maxbox = nbox;
142 1.1 christos maxx = tx;
143 1.1 christos maxy = ty;
144 1.1 christos maxdir = tdir;
145 1.1 christos }
146 1.1 christos
147 1.1 christos // Return the max found
148 1.1 christos y = maxy;
149 1.1 christos x = maxx;
150 1.1 christos dir = maxdir;
151 1.1 christos return maxbox;
152 1.1 christos }
153 1.1 christos
154 1.1 christos
155 1.1 christos // Find if a turn does not result in a capture on the given box
156 1.1 christos // and return the direction if found.
157 1.1 christos int ALGOR::try_good_turn(BOX& box, size_t y, size_t x, int& dir, BOARD& b)
158 1.1 christos {
159 1.1 christos // Sanity check; we must have a good box
160 1.1 christos if (box.count() >= 2)
161 1.5 joerg b.abort("try_good_turn: box[%zu,%zu] has more than 2 sides occupied",
162 1.1 christos y, x);
163 1.1 christos
164 1.1 christos // Make sure we don't make a closure in an adjacent box.
165 1.1 christos // We use a random direction to randomize the game
166 1.1 christos RANDOM rd(BOX::last);
167 1.1 christos for (dir = rd(); dir < BOX::last; dir = rd())
168 1.1 christos if (!box.isset(dir)) {
169 1.1 christos size_t by = y + BOX::edges[dir].y;
170 1.1 christos size_t bx = x + BOX::edges[dir].x;
171 1.1 christos if (!b.bounds(by, bx))
172 1.1 christos return 1;
173 1.1 christos
174 1.1 christos BOX nbox(by, bx, b);
175 1.1 christos if (nbox.count() < 2)
176 1.1 christos return 1;
177 1.1 christos }
178 1.1 christos
179 1.1 christos return 0;
180 1.1 christos }
181 1.1 christos
182 1.1 christos
183 1.1 christos // Try to find a turn that does not result in an opponent closure, and
184 1.1 christos // return it in (x, y, dir); if not found return 0.
185 1.1 christos int ALGOR::find_good_turn(size_t& y, size_t& x, int& dir, const BOARD& b)
186 1.1 christos {
187 1.1 christos BOARD nb(b);
188 1.1 christos RANDOM rdy(b.ny()), rdx(b.nx());
189 1.1 christos
190 1.1 christos for (y = rdy(); y < b.ny(); y = rdy()) {
191 1.1 christos rdx.clear();
192 1.1 christos for (x = rdx(); x < b.nx(); x = rdx()) {
193 1.1 christos BOX box(y, x, nb);
194 1.1 christos if (box.count() < 2 && try_good_turn(box, y, x, dir, nb))
195 1.1 christos return 1;
196 1.1 christos }
197 1.1 christos }
198 1.1 christos return 0;
199 1.1 christos }
200 1.1 christos
201 1.1 christos // On a box with 2 edges, return the first or the last free edge, depending
202 1.1 christos // on the order specified
203 1.1 christos int ALGOR::try_bad_turn(BOX& box, size_t& y, size_t& x, int& dir, BOARD& b,
204 1.1 christos int last)
205 1.1 christos {
206 1.1 christos if (4 - box.count() <= last)
207 1.5 joerg b.abort("try_bad_turn: Called at [%zu,%zu] for %d with %d",
208 1.1 christos y, x, last, box.count());
209 1.1 christos for (dir = BOX::first; dir < BOX::last; dir++)
210 1.1 christos if (!box.isset(dir)) {
211 1.1 christos if (!last)
212 1.1 christos return 1;
213 1.1 christos else
214 1.1 christos last--;
215 1.1 christos }
216 1.1 christos return 0;
217 1.1 christos }
218 1.1 christos
219 1.1 christos // Find a box that has 2 edges and return the first free edge of that
220 1.1 christos // box or the last free edge of that box
221 1.1 christos int ALGOR::find_bad_turn(size_t& y, size_t& x, int& dir, BOARD& b, int last)
222 1.1 christos {
223 1.1 christos RANDOM rdy(b.ny()), rdx(b.nx());
224 1.1 christos for (y = rdy(); y < b.ny(); y = rdy()) {
225 1.1 christos rdx.clear();
226 1.1 christos for (x = rdx(); x < b.nx(); x = rdx()) {
227 1.1 christos BOX box(y, x, b);
228 1.1 christos if ((4 - box.count()) > last &&
229 1.1 christos try_bad_turn(box, y, x, dir, b, last))
230 1.1 christos return 1;
231 1.1 christos }
232 1.1 christos }
233 1.1 christos return 0;
234 1.1 christos }
235 1.1 christos
236 1.2 christos size_t ALGOR::find_min_closure1(size_t& y, size_t& x, int& dir, const BOARD& b,
237 1.2 christos int last)
238 1.1 christos {
239 1.1 christos BOARD nb(b);
240 1.3 christos int tdir, mindir = -1, mv;
241 1.1 christos // number of boxes per closure
242 1.1 christos size_t nbox, minbox = nb.nx() * nb.ny() + 1;
243 1.1 christos size_t tx, ty, minx = ~0, miny = ~0;
244 1.3 christos int xdir = 0; /* XXX: GCC */
245 1.1 christos
246 1.1 christos while (find_bad_turn(ty, tx, tdir, nb, last)) {
247 1.1 christos
248 1.1 christos // Play a bad move that would cause the opponent's closure
249 1.1 christos if ((mv = nb.domove(ty, tx, tdir, getWho())) != 0)
250 1.5 joerg b.abort("find_min_closure1: Invalid move %d (%zu, %zu, %d)", mv,
251 1.1 christos ty, tx, tdir);
252 1.1 christos
253 1.1 christos // Count the opponent's closure
254 1.1 christos if ((nbox = count_closure(y, x, xdir, nb)) == 0)
255 1.1 christos b.abort("find_min_closure1: no closure found");
256 1.1 christos
257 1.1 christos if (nbox <= minbox) {
258 1.1 christos // This closure has fewer boxes
259 1.1 christos minbox = nbox;
260 1.1 christos minx = tx;
261 1.1 christos miny = ty;
262 1.1 christos mindir = tdir;
263 1.1 christos }
264 1.1 christos }
265 1.1 christos
266 1.1 christos y = miny;
267 1.1 christos x = minx;
268 1.1 christos dir = mindir;
269 1.1 christos return minbox;
270 1.1 christos }
271 1.1 christos
272 1.1 christos
273 1.1 christos // Search for the move that makes the opponent close the least number of
274 1.1 christos // boxes; returns 1 if a move found, 0 otherwise
275 1.2 christos size_t ALGOR::find_min_closure(size_t& y, size_t& x, int& dir, const BOARD& b)
276 1.1 christos {
277 1.1 christos size_t x1, y1;
278 1.1 christos int dir1;
279 1.2 christos size_t count = b.ny() * b.nx() + 1, count1;
280 1.1 christos
281 1.1 christos for (size_t i = 0; i < 3; i++)
282 1.1 christos if (count > (count1 = find_min_closure1(y1, x1, dir1, b, i))) {
283 1.1 christos count = count1;
284 1.1 christos y = y1;
285 1.1 christos x = x1;
286 1.1 christos dir = dir1;
287 1.1 christos }
288 1.1 christos
289 1.2 christos return count != b.ny() * b.nx() + 1;
290 1.1 christos }
291 1.1 christos
292 1.1 christos // Return a move in (y, x, dir)
293 1.1 christos void ALGOR::play(const BOARD& b, size_t& y, size_t& x, int& dir)
294 1.1 christos {
295 1.1 christos // See if we can close the largest closure available
296 1.1 christos if (find_max_closure(y, x, dir, b))
297 1.1 christos return;
298 1.1 christos
299 1.1 christos #ifdef notyet
300 1.1 christos size_t sgl = find_single();
301 1.1 christos size_t dbl = find_double();
302 1.1 christos #endif
303 1.1 christos
304 1.1 christos // See if we can play an edge without giving the opponent a box
305 1.1 christos if (find_good_turn(y, x, dir, b))
306 1.1 christos return;
307 1.1 christos
308 1.1 christos // Too bad, find the move that gives the opponent the fewer boxes
309 1.1 christos if (find_min_closure(y, x, dir, b))
310 1.1 christos return;
311 1.1 christos }
312