11 #include "patternsp.h"
13 /* Mapping from point sequence to coordinate offsets (to determine
14 * coordinates relative to pattern center). The array is ordered
15 * in the gridcular metric order so that we can go through it
16 * and incrementally match spatial features in nested circles.
17 * Within one circle, coordinates are ordered by rows to keep
18 * good cache behavior. */
19 struct ptcoord ptcoords
[MAX_PATTERN_AREA
];
21 /* For each radius, starting index in ptcoords[]. */
22 unsigned int ptind
[MAX_PATTERN_DIST
+ 2];
24 /* ptcoords[], ptind[] setup */
28 int i
= 0; /* Indexing ptcoords[] */
30 /* First, center point. */
31 ptind
[0] = ptind
[1] = 0;
32 ptcoords
[i
].x
= ptcoords
[i
].y
= 0; i
++;
34 for (int d
= 2; d
<= MAX_PATTERN_DIST
; d
++) {
36 /* For each y, examine all integer solutions
37 * of d = |x| + |y| + max(|x|, |y|). */
38 /* TODO: (Stern, 2006) uses a hand-modified
39 * circles that are finer for small d and more
40 * coarse for large d. */
41 for (short y
= d
/ 2; y
>= 0; y
--) {
44 /* max(|x|, |y|) = |y|, non-zero x */
46 if (x
+ y
* 2 != d
) continue;
48 /* max(|x|, |y|) = |x| */
49 /* Or, max(|x|, |y|) = |y| and x is zero */
51 if (x
* 2 + y
!= d
) continue;
54 assert((x
> y
? x
: y
) + x
+ y
== d
);
56 ptcoords
[i
].x
= x
; ptcoords
[i
].y
= y
; i
++;
57 if (x
!= 0) { ptcoords
[i
].x
= -x
; ptcoords
[i
].y
= y
; i
++; }
58 if (y
!= 0) { ptcoords
[i
].x
= x
; ptcoords
[i
].y
= -y
; i
++; }
59 if (x
!= 0 && y
!= 0) { ptcoords
[i
].x
= -x
; ptcoords
[i
].y
= -y
; i
++; }
62 ptind
[MAX_PATTERN_DIST
+ 1] = i
;
65 for (int d
= 0; d
<= MAX_PATTERN_DIST
; d
++) {
66 fprintf(stderr
, "d=%d (%d) ", d
, ptind
[d
]);
67 for (int j
= ptind
[d
]; j
< ptind
[d
+ 1]; j
++) {
68 fprintf(stderr
, "%d,%d ", ptcoords
[j
].x
, ptcoords
[j
].y
);
70 fprintf(stderr
, "\n");
76 /* Zobrist hashes used for points in patterns. */
77 hash_t pthashes
[PTH__ROTATIONS
][MAX_PATTERN_AREA
][S_MAX
];
82 /* We need fixed hashes for all pattern-relative in
83 * all pattern users! This is a simple way to generate
84 * hopefully good ones. Park-Miller powa. :) */
86 /* We create a virtual board (centered at the sequence start),
87 * plant the hashes there, then pick them up into the sequence
88 * with correct coordinates. It would be possible to generate
89 * the sequence point hashes directly, but the rotations would
90 * make for enormous headaches. */
91 #define PATTERN_BOARD_SIZE ((MAX_PATTERN_DIST + 1) * (MAX_PATTERN_DIST + 1))
92 hash_t pthboard
[PATTERN_BOARD_SIZE
][4];
93 int pthbc
= PATTERN_BOARD_SIZE
/ 2; // tengen coord
95 /* The magic numbers are tuned for minimal collisions. */
96 hash_t h1
= 0xd6d6d6d1;
97 hash_t h2
= 0xd6d6d6d2;
98 hash_t h3
= 0xd6d6d6d3;
99 hash_t h4
= 0xd6d6d6d4;
100 for (int i
= 0; i
< PATTERN_BOARD_SIZE
; i
++) {
101 pthboard
[i
][S_NONE
] = (h1
= h1
* 16787);
102 pthboard
[i
][S_BLACK
] = (h2
= h2
* 16823);
103 pthboard
[i
][S_WHITE
] = (h3
= h3
* 16811 - 13);
104 pthboard
[i
][S_OFFBOARD
] = (h4
= h4
* 16811);
107 /* Virtual board with hashes created, now fill
108 * pthashes[] with hashes for points in actual
109 * sequences, also considering various rotations. */
110 #define PTH_VMIRROR 1
111 #define PTH_HMIRROR 2
113 for (int r
= 0; r
< PTH__ROTATIONS
; r
++) {
114 for (int i
= 0; i
< MAX_PATTERN_AREA
; i
++) {
115 /* Rotate appropriately. */
116 int rx
= ptcoords
[i
].x
;
117 int ry
= ptcoords
[i
].y
;
118 if (r
& PTH_VMIRROR
) ry
= -ry
;
119 if (r
& PTH_HMIRROR
) rx
= -rx
;
121 int rs
= rx
; rx
= -ry
; ry
= rs
;
123 int bi
= pthbc
+ ry
* (MAX_PATTERN_DIST
+ 1) + rx
;
126 pthashes
[r
][i
][S_NONE
] = pthboard
[bi
][S_NONE
];
127 pthashes
[r
][i
][S_BLACK
] = pthboard
[bi
][S_BLACK
];
128 pthashes
[r
][i
][S_WHITE
] = pthboard
[bi
][S_WHITE
];
129 pthashes
[r
][i
][S_OFFBOARD
] = pthboard
[bi
][S_OFFBOARD
];
134 static void __attribute__((constructor
))
137 /* Initialization of various static data structures for
138 * fast pattern processing. */
144 spatial_hash(unsigned int rotation
, struct spatial
*s
)
147 for (unsigned int i
= 0; i
< ptind
[s
->dist
+ 1]; i
++) {
148 h
^= pthashes
[rotation
][i
][spatial_point_at(*s
, i
)];
150 return h
& spatial_hash_mask
;
154 spatial2str(struct spatial
*s
)
156 static char buf
[1024];
157 for (unsigned int i
= 0; i
< ptind
[s
->dist
+ 1]; i
++) {
158 buf
[i
] = stone2char(spatial_point_at(*s
, i
));
160 buf
[ptind
[s
->dist
+ 1]] = 0;
165 spatial_from_board(struct pattern_config
*pc
, struct spatial
*s
,
166 struct board
*b
, struct move
*m
)
168 assert(pc
->spat_min
> 0);
170 /* We record all spatial patterns black-to-play; simply
171 * reverse all colors if we are white-to-play. */
172 static enum stone bt_black
[4] = { S_NONE
, S_BLACK
, S_WHITE
, S_OFFBOARD
};
173 static enum stone bt_white
[4] = { S_NONE
, S_WHITE
, S_BLACK
, S_OFFBOARD
};
174 enum stone (*bt
)[4] = m
->color
== S_WHITE
? &bt_white
: &bt_black
;
176 memset(s
, 0, sizeof(*s
));
177 for (unsigned int j
= 0; j
< ptind
[pc
->spat_max
+ 1]; j
++) {
178 ptcoords_at(x
, y
, m
->coord
, b
, j
);
179 s
->points
[j
/ 4] |= (*bt
)[board_atxy(b
, x
, y
)] << ((j
% 4) * 2);
181 s
->dist
= pc
->spat_max
;
184 /* Compare two spatials, allowing for differences up to isomorphism.
185 * True means the spatials are equivalent. */
187 spatial_cmp(struct spatial
*s1
, struct spatial
*s2
)
189 /* Quick preliminary check. */
190 if (s1
->dist
!= s2
->dist
)
193 /* We could create complex transposition tables, but it seems most
194 * foolproof to just check if the sets of rotation hashes are the
196 hash_t s1r
[PTH__ROTATIONS
];
197 for (unsigned int r
= 0; r
< PTH__ROTATIONS
; r
++)
198 s1r
[r
] = spatial_hash(r
, s1
);
199 for (unsigned int r
= 0; r
< PTH__ROTATIONS
; r
++) {
200 hash_t s2r
= spatial_hash(r
, s2
);
201 for (unsigned int p
= 0; p
< PTH__ROTATIONS
; p
++)
204 /* Rotation hash s2r does not correspond to s1r. */
209 /* All rotation hashes of s2 occur in s1. Hopefully that
210 * indicates something. */
215 /* Spatial dict manipulation. */
218 spatial_dict_addc(struct spatial_dict
*dict
, struct spatial
*s
)
220 /* Allocate space in 1024 blocks. */
221 #define SPATIALS_ALLOC 1024
222 if (!(dict
->nspatials
% SPATIALS_ALLOC
)) {
223 dict
->spatials
= realloc(dict
->spatials
,
224 (dict
->nspatials
+ SPATIALS_ALLOC
)
225 * sizeof(*dict
->spatials
));
227 dict
->spatials
[dict
->nspatials
] = *s
;
228 return dict
->nspatials
++;
232 spatial_dict_addh(struct spatial_dict
*dict
, hash_t hash
, unsigned int id
)
234 if (dict
->hash
[hash
]) {
235 if (dict
->hash
[hash
] != id
)
240 dict
->hash
[hash
] = id
;
244 /* Spatial dictionary file format:
246 * INDEX RADIUS STONES HASH...
247 * INDEX: index in the spatial table
248 * RADIUS: @d of the pattern
249 * STONES: string of ".XO#" chars
250 * HASH...: space-separated 18bit hash-table indices for the pattern */
253 spatial_dict_read(struct spatial_dict
*dict
, char *buf
, bool hash
)
255 /* XXX: We trust the data. Bad data will crash us. */
258 unsigned int index
, radius
;
259 index
= strtoul(bufp
, &bufp
, 10);
260 radius
= strtoul(bufp
, &bufp
, 10);
261 while (isspace(*bufp
)) bufp
++;
263 if (radius
> MAX_PATTERN_DIST
) {
264 /* Too large spatial, skip. */
265 struct spatial s
= { .dist
= 0 };
266 unsigned int id
= spatial_dict_addc(dict
, &s
);
271 /* Load the stone configuration. */
272 struct spatial s
= { .dist
= radius
};
274 while (!isspace(*bufp
)) {
275 s
.points
[sl
/ 4] |= char2stone(*bufp
++) << ((sl
% 4)*2);
278 while (isspace(*bufp
)) bufp
++;
281 if (sl
!= ptind
[s
.dist
+ 1]) {
282 fprintf(stderr
, "Spatial dictionary: Invalid number of stones (%d != %d) on this line: %s\n",
283 sl
, ptind
[radius
+ 1] - 1, buf
);
287 /* Add to collection. */
288 unsigned int id
= spatial_dict_addc(dict
, &s
);
291 /* Add to specified hash places. */
293 for (unsigned int r
= 0; r
< PTH__ROTATIONS
; r
++)
294 spatial_dict_addh(dict
, spatial_hash(r
, &s
), id
);
298 spatial_write(struct spatial_dict
*dict
, struct spatial
*s
, unsigned int id
, FILE *f
)
300 fprintf(f
, "%d %d ", id
, s
->dist
);
301 fputs(spatial2str(s
), f
);
302 for (unsigned int r
= 0; r
< PTH__ROTATIONS
; r
++) {
303 hash_t rhash
= spatial_hash(r
, s
);
304 unsigned int id2
= dict
->hash
[rhash
];
306 /* This hash does not belong to us. Decide whether
307 * we or the current owner is better owner. */
308 /* TODO: Compare also # of patternscan encounters? */
309 struct spatial
*s2
= &dict
->spatials
[id2
];
310 if (s2
->dist
< s
->dist
)
312 if (s2
->dist
== s
->dist
&& id2
< id
)
315 fprintf(f
, " %"PRIhash
"", spatial_hash(r
, s
));
321 spatial_dict_load(struct spatial_dict
*dict
, FILE *f
, bool hash
)
324 while (fgets(buf
, sizeof(buf
), f
)) {
325 if (buf
[0] == '#') continue;
326 spatial_dict_read(dict
, buf
, hash
);
329 fprintf(stderr
, "Loaded spatial dictionary of %d patterns.\n", dict
->nspatials
);
331 spatial_dict_hashstats(dict
);
336 spatial_dict_hashstats(struct spatial_dict
*dict
)
338 /* m hash size, n number of patterns; is zobrist universal hash?
340 * Not so rigorous analysis, but it should give a good approximation:
341 * Probability of empty bucket is (1-1/m)^n ~ e^(-n/m)
342 * Probability of non-empty bucket is 1-e^(-n/m)
343 * Expected number of non-empty buckets is m*(1-e^(-n/m))
344 * Number of collisions is n-m*(1-e^(-n/m)). */
346 /* The result: Reality matches these expectations pretty well!
349 * Loaded spatial dictionary of 1064482 patterns.
350 * (Spatial dictionary hash: 513997 collisions (incl. repetitions), 11.88% (7970033/67108864) fill rate).
354 * n <= 8*1064482 (some patterns may have some identical rotations)
355 * n = 513997+7970033 = 8484030 should be the correct number
356 * n-m*(1-e^(-n/m)) = 514381
358 * To verify, make sure to turn patternprob off (e.g. use
359 * -e patternscan), since it will insert a pattern multiple times,
360 * multiplying the reported number of collisions. */
362 unsigned long buckets
= (sizeof(dict
->hash
) / sizeof(dict
->hash
[0]));
363 fprintf(stderr
, "\t(Spatial dictionary hash: %d collisions (incl. repetitions), %.2f%% (%d/%lu) fill rate).\n",
365 (double) dict
->fills
* 100 / buckets
,
366 dict
->fills
, buckets
);
370 spatial_dict_writeinfo(struct spatial_dict
*dict
, FILE *f
)
372 /* New file. First, create a comment describing order
373 * of points in the array. This is just for purposes
374 * of external tools, Pachi never interprets it itself. */
375 fprintf(f
, "# Pachi spatial patterns dictionary v1.0 maxdist %d\n",
377 for (unsigned int d
= 0; d
<= MAX_PATTERN_DIST
; d
++) {
378 fprintf(f
, "# Point order: d=%d ", d
);
379 for (unsigned int j
= ptind
[d
]; j
< ptind
[d
+ 1]; j
++) {
380 fprintf(f
, "%d,%d ", ptcoords
[j
].x
, ptcoords
[j
].y
);
386 /* We try to avoid needlessly reloading spatial dictionary
387 * since it may take rather long time. */
388 static struct spatial_dict
*cached_dict
;
390 const char * default_spatial_dict_filename
= "patterns.spat";
392 struct spatial_dict
*
393 spatial_dict_init(bool will_append
, bool hash
, char * spatial_dict_filename
)
395 if (cached_dict
&& !will_append
)
398 FILE *f
= fopen(spatial_dict_filename
, "r");
399 if (!f
&& !will_append
) {
401 fprintf(stderr
, "No spatial dictionary, will not match spatial pattern features.\n");
405 struct spatial_dict
*dict
= calloc2(1, sizeof(*dict
));
406 /* We create a dummy record for index 0 that we will
407 * never reference. This is so that hash value 0 can
408 * represent "no value". */
409 struct spatial dummy
= { .dist
= 0 };
410 spatial_dict_addc(dict
, &dummy
);
413 spatial_dict_load(dict
, f
, hash
);
424 spatial_dict_put(struct spatial_dict
*dict
, struct spatial
*s
, hash_t h
)
426 /* We avoid spatial_dict_get() here, since we want to ignore radius
427 * differences - we have custom collision detection. */
428 unsigned int id
= dict
->hash
[h
];
430 /* Is this the same or isomorphous spatial? */
431 if (spatial_cmp(s
, &dict
->spatials
[id
]))
434 /* Look a bit harder - perhaps one of our rotations still
435 * points at the correct spatial. */
436 for (unsigned int r
= 0; r
< PTH__ROTATIONS
; r
++) {
437 hash_t rhash
= spatial_hash(r
, s
);
438 unsigned int rid
= dict
->hash
[rhash
];
439 /* No match means we definitely aren't stored yet. */
442 if (id
!= rid
&& spatial_cmp(s
, &dict
->spatials
[rid
])) {
443 /* Yay, this is us! */
445 fprintf(stderr
, "Repeated collision %d vs %d\n", id
, rid
);
447 /* Point the hashes back to us. */
453 fprintf(stderr
, "Collision %d vs %d\n", id
, dict
->nspatials
);
455 /* dict->collisions++; gets done by addh */
458 /* Add new pattern! */
459 id
= spatial_dict_addc(dict
, s
);
461 fprintf(stderr
, "new spat %d(%d) %s <%"PRIhash
"> ", id
, s
->dist
, spatial2str(s
), h
);
462 for (unsigned int r
= 0; r
< 8; r
++)
463 fprintf(stderr
,"[%"PRIhash
"] ", spatial_hash(r
, s
));
464 fprintf(stderr
, "\n");
467 /* Store new pattern in the hash. */
469 for (unsigned int r
= 0; r
< PTH__ROTATIONS
; r
++)
470 spatial_dict_addh(dict
, spatial_hash(r
, s
), id
);