1d8e8ad8 |
1 | /* |
2 | * solo.c: the number-placing puzzle most popularly known as `Sudoku'. |
3 | * |
4 | * TODO: |
5 | * |
c8266e03 |
6 | * - reports from users are that `Trivial'-mode puzzles are still |
7 | * rather hard compared to newspapers' easy ones, so some better |
8 | * low-end difficulty grading would be nice |
9 | * + it's possible that really easy puzzles always have |
10 | * _several_ things you can do, so don't make you hunt too |
11 | * hard for the one deduction you can currently make |
12 | * + it's also possible that easy puzzles require fewer |
13 | * cross-eliminations: perhaps there's a higher incidence of |
14 | * things you can deduce by looking only at (say) rows, |
15 | * rather than things you have to check both rows and columns |
16 | * for |
17 | * + but really, what I need to do is find some really easy |
18 | * puzzles and _play_ them, to see what's actually easy about |
19 | * them |
20 | * + while I'm revamping this area, filling in the _last_ |
21 | * number in a nearly-full row or column should certainly be |
22 | * permitted even at the lowest difficulty level. |
23 | * + also Owen noticed that `Basic' grids requiring numeric |
24 | * elimination are actually very hard, so I wonder if a |
25 | * difficulty gradation between that and positional- |
26 | * elimination-only might be in order |
27 | * + but it's not good to have _too_ many difficulty levels, or |
28 | * it'll take too long to randomly generate a given level. |
29 | * |
ef57b17d |
30 | * - it might still be nice to do some prioritisation on the |
31 | * removal of numbers from the grid |
32 | * + one possibility is to try to minimise the maximum number |
33 | * of filled squares in any block, which in particular ought |
34 | * to enforce never leaving a completely filled block in the |
35 | * puzzle as presented. |
1d8e8ad8 |
36 | * |
37 | * - alternative interface modes |
38 | * + sudoku.com's Windows program has a palette of possible |
39 | * entries; you select a palette entry first and then click |
40 | * on the square you want it to go in, thus enabling |
41 | * mouse-only play. Useful for PDAs! I don't think it's |
42 | * actually incompatible with the current highlight-then-type |
43 | * approach: you _either_ highlight a palette entry and then |
44 | * click, _or_ you highlight a square and then type. At most |
45 | * one thing is ever highlighted at a time, so there's no way |
46 | * to confuse the two. |
c8266e03 |
47 | * + then again, I don't actually like sudoku.com's interface; |
48 | * it's too much like a paint package whereas I prefer to |
49 | * think of Solo as a text editor. |
50 | * + another PDA-friendly possibility is a drag interface: |
51 | * _drag_ numbers from the palette into the grid squares. |
52 | * Thought experiments suggest I'd prefer that to the |
53 | * sudoku.com approach, but I haven't actually tried it. |
1d8e8ad8 |
54 | */ |
55 | |
56 | /* |
57 | * Solo puzzles need to be square overall (since each row and each |
58 | * column must contain one of every digit), but they need not be |
59 | * subdivided the same way internally. I am going to adopt a |
60 | * convention whereby I _always_ refer to `r' as the number of rows |
61 | * of _big_ divisions, and `c' as the number of columns of _big_ |
62 | * divisions. Thus, a 2c by 3r puzzle looks something like this: |
63 | * |
64 | * 4 5 1 | 2 6 3 |
65 | * 6 3 2 | 5 4 1 |
66 | * ------+------ (Of course, you can't subdivide it the other way |
67 | * 1 4 5 | 6 3 2 or you'll get clashes; observe that the 4 in the |
68 | * 3 2 6 | 4 1 5 top left would conflict with the 4 in the second |
69 | * ------+------ box down on the left-hand side.) |
70 | * 5 1 4 | 3 2 6 |
71 | * 2 6 3 | 1 5 4 |
72 | * |
73 | * The need for a strong naming convention should now be clear: |
74 | * each small box is two rows of digits by three columns, while the |
75 | * overall puzzle has three rows of small boxes by two columns. So |
76 | * I will (hopefully) consistently use `r' to denote the number of |
77 | * rows _of small boxes_ (here 3), which is also the number of |
78 | * columns of digits in each small box; and `c' vice versa (here |
79 | * 2). |
80 | * |
81 | * I'm also going to choose arbitrarily to list c first wherever |
82 | * possible: the above is a 2x3 puzzle, not a 3x2 one. |
83 | */ |
84 | |
85 | #include <stdio.h> |
86 | #include <stdlib.h> |
87 | #include <string.h> |
88 | #include <assert.h> |
89 | #include <ctype.h> |
90 | #include <math.h> |
91 | |
7c568a48 |
92 | #ifdef STANDALONE_SOLVER |
93 | #include <stdarg.h> |
ab362080 |
94 | int solver_show_working, solver_recurse_depth; |
7c568a48 |
95 | #endif |
96 | |
1d8e8ad8 |
97 | #include "puzzles.h" |
98 | |
99 | /* |
100 | * To save space, I store digits internally as unsigned char. This |
101 | * imposes a hard limit of 255 on the order of the puzzle. Since |
102 | * even a 5x5 takes unacceptably long to generate, I don't see this |
103 | * as a serious limitation unless something _really_ impressive |
104 | * happens in computing technology; but here's a typedef anyway for |
105 | * general good practice. |
106 | */ |
107 | typedef unsigned char digit; |
108 | #define ORDER_MAX 255 |
109 | |
ad599e2b |
110 | #define PREFERRED_TILE_SIZE 48 |
1e3e152d |
111 | #define TILE_SIZE (ds->tilesize) |
112 | #define BORDER (TILE_SIZE / 2) |
682486d2 |
113 | #define GRIDEXTRA max((TILE_SIZE / 32),1) |
1d8e8ad8 |
114 | |
115 | #define FLASH_TIME 0.4F |
116 | |
154bf9b1 |
117 | enum { SYMM_NONE, SYMM_ROT2, SYMM_ROT4, SYMM_REF2, SYMM_REF2D, SYMM_REF4, |
118 | SYMM_REF4D, SYMM_REF8 }; |
ef57b17d |
119 | |
ad599e2b |
120 | enum { DIFF_BLOCK, |
121 | DIFF_SIMPLE, DIFF_INTERSECT, DIFF_SET, DIFF_EXTREME, DIFF_RECURSIVE, |
122 | DIFF_AMBIGUOUS, DIFF_IMPOSSIBLE }; |
123 | |
124 | enum { DIFF_KSINGLE, DIFF_KMINMAX, DIFF_KSUMS, DIFF_KINTERSECT }; |
7c568a48 |
125 | |
1d8e8ad8 |
126 | enum { |
127 | COL_BACKGROUND, |
fbd0fc79 |
128 | COL_XDIAGONALS, |
ef57b17d |
129 | COL_GRID, |
130 | COL_CLUE, |
131 | COL_USER, |
132 | COL_HIGHLIGHT, |
7b14a9ec |
133 | COL_ERROR, |
c8266e03 |
134 | COL_PENCIL, |
ad599e2b |
135 | COL_KILLER, |
ef57b17d |
136 | NCOLOURS |
1d8e8ad8 |
137 | }; |
138 | |
ad599e2b |
139 | /* |
140 | * To determine all possible ways to reach a given sum by adding two or |
141 | * three numbers from 1..9, each of which occurs exactly once in the sum, |
142 | * these arrays contain a list of bitmasks for each sum value, where if |
143 | * bit N is set, it means that N occurs in the sum. Each list is |
144 | * terminated by a zero if it is shorter than the size of the array. |
145 | */ |
146 | #define MAX_2SUMS 5 |
147 | #define MAX_3SUMS 8 |
148 | #define MAX_4SUMS 12 |
64da106a |
149 | unsigned long sum_bits2[18][MAX_2SUMS]; |
150 | unsigned long sum_bits3[25][MAX_3SUMS]; |
151 | unsigned long sum_bits4[31][MAX_4SUMS]; |
ad599e2b |
152 | |
64da106a |
153 | static int find_sum_bits(unsigned long *array, int idx, int value_left, |
ad599e2b |
154 | int addends_left, int min_addend, |
64da106a |
155 | unsigned long bitmask_so_far) |
ad599e2b |
156 | { |
157 | int i; |
158 | assert(addends_left >= 2); |
159 | |
160 | for (i = min_addend; i < value_left; i++) { |
64da106a |
161 | unsigned long new_bitmask = bitmask_so_far | (1L << i); |
ad599e2b |
162 | assert(bitmask_so_far != new_bitmask); |
163 | |
164 | if (addends_left == 2) { |
165 | int j = value_left - i; |
166 | if (j <= i) |
167 | break; |
168 | if (j > 9) |
169 | continue; |
64da106a |
170 | array[idx++] = new_bitmask | (1L << j); |
ad599e2b |
171 | } else |
172 | idx = find_sum_bits(array, idx, value_left - i, |
173 | addends_left - 1, i + 1, |
174 | new_bitmask); |
175 | } |
176 | return idx; |
177 | } |
178 | |
179 | static void precompute_sum_bits(void) |
180 | { |
181 | int i; |
182 | for (i = 3; i < 31; i++) { |
183 | int j; |
184 | if (i < 18) { |
185 | j = find_sum_bits(sum_bits2[i], 0, i, 2, 1, 0); |
186 | assert (j <= MAX_2SUMS); |
187 | if (j < MAX_2SUMS) |
188 | sum_bits2[i][j] = 0; |
189 | } |
190 | if (i < 25) { |
191 | j = find_sum_bits(sum_bits3[i], 0, i, 3, 1, 0); |
192 | assert (j <= MAX_3SUMS); |
193 | if (j < MAX_3SUMS) |
194 | sum_bits3[i][j] = 0; |
195 | } |
196 | j = find_sum_bits(sum_bits4[i], 0, i, 4, 1, 0); |
197 | assert (j <= MAX_4SUMS); |
198 | if (j < MAX_4SUMS) |
199 | sum_bits4[i][j] = 0; |
200 | } |
201 | } |
202 | |
1d8e8ad8 |
203 | struct game_params { |
fbd0fc79 |
204 | /* |
205 | * For a square puzzle, `c' and `r' indicate the puzzle |
206 | * parameters as described above. |
207 | * |
208 | * A jigsaw-style puzzle is indicated by r==1, in which case c |
209 | * can be whatever it likes (there is no constraint on |
210 | * compositeness - a 7x7 jigsaw sudoku makes perfect sense). |
211 | */ |
ad599e2b |
212 | int c, r, symm, diff, kdiff; |
fbd0fc79 |
213 | int xtype; /* require all digits in X-diagonals */ |
ad599e2b |
214 | int killer; |
1d8e8ad8 |
215 | }; |
216 | |
fbd0fc79 |
217 | struct block_structure { |
218 | int refcount; |
219 | |
220 | /* |
221 | * For text formatting, we do need c and r here. |
222 | */ |
ad599e2b |
223 | int c, r, area; |
fbd0fc79 |
224 | |
225 | /* |
226 | * For any square index, whichblock[i] gives its block index. |
ad599e2b |
227 | * |
fbd0fc79 |
228 | * For 0 <= b,i < cr, blocks[b][i] gives the index of the ith |
ad599e2b |
229 | * square in block b. nr_squares[b] gives the number of squares |
230 | * in block b (also the number of valid elements in blocks[b]). |
231 | * |
232 | * blocks_data holds the data pointed to by blocks. |
233 | * |
234 | * nr_squares may be NULL for block structures where all blocks are |
235 | * the same size. |
fbd0fc79 |
236 | */ |
ad599e2b |
237 | int *whichblock, **blocks, *nr_squares, *blocks_data; |
238 | int nr_blocks, max_nr_squares; |
fbd0fc79 |
239 | |
240 | #ifdef STANDALONE_SOLVER |
241 | /* |
242 | * Textual descriptions of each block. For normal Sudoku these |
243 | * are of the form "(1,3)"; for jigsaw they are "starting at |
244 | * (5,7)". So the sensible usage in both cases is to say |
245 | * "elimination within block %s" with one of these strings. |
246 | * |
247 | * Only blocknames itself needs individually freeing; it's all |
248 | * one block. |
249 | */ |
250 | char **blocknames; |
251 | #endif |
252 | }; |
253 | |
254 | struct game_state { |
255 | /* |
256 | * For historical reasons, I use `cr' to denote the overall |
257 | * width/height of the puzzle. It was a natural notation when |
258 | * all puzzles were divided into blocks in a grid, but doesn't |
259 | * really make much sense given jigsaw puzzles. However, the |
260 | * obvious `n' is heavily used in the solver to describe the |
261 | * index of a number being placed, so `cr' will have to stay. |
262 | */ |
263 | int cr; |
264 | struct block_structure *blocks; |
ad599e2b |
265 | struct block_structure *kblocks; /* Blocks for killer puzzles. */ |
266 | int xtype, killer; |
267 | digit *grid, *kgrid; |
c8266e03 |
268 | unsigned char *pencil; /* c*r*c*r elements */ |
1d8e8ad8 |
269 | unsigned char *immutable; /* marks which digits are clues */ |
2ac6d24e |
270 | int completed, cheated; |
1d8e8ad8 |
271 | }; |
272 | |
273 | static game_params *default_params(void) |
274 | { |
275 | game_params *ret = snew(game_params); |
276 | |
277 | ret->c = ret->r = 3; |
fbd0fc79 |
278 | ret->xtype = FALSE; |
ad599e2b |
279 | ret->killer = FALSE; |
ef57b17d |
280 | ret->symm = SYMM_ROT2; /* a plausible default */ |
4f36adaa |
281 | ret->diff = DIFF_BLOCK; /* so is this */ |
ad599e2b |
282 | ret->kdiff = DIFF_KINTERSECT; /* so is this */ |
1d8e8ad8 |
283 | |
284 | return ret; |
285 | } |
286 | |
1d8e8ad8 |
287 | static void free_params(game_params *params) |
288 | { |
289 | sfree(params); |
290 | } |
291 | |
292 | static game_params *dup_params(game_params *params) |
293 | { |
294 | game_params *ret = snew(game_params); |
295 | *ret = *params; /* structure copy */ |
296 | return ret; |
297 | } |
298 | |
7c568a48 |
299 | static int game_fetch_preset(int i, char **name, game_params **params) |
300 | { |
301 | static struct { |
302 | char *title; |
303 | game_params params; |
304 | } presets[] = { |
ad599e2b |
305 | { "2x2 Trivial", { 2, 2, SYMM_ROT2, DIFF_BLOCK, DIFF_KMINMAX, FALSE, FALSE } }, |
306 | { "2x3 Basic", { 2, 3, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, FALSE, FALSE } }, |
307 | { "3x3 Trivial", { 3, 3, SYMM_ROT2, DIFF_BLOCK, DIFF_KMINMAX, FALSE, FALSE } }, |
308 | { "3x3 Basic", { 3, 3, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, FALSE, FALSE } }, |
309 | { "3x3 Basic X", { 3, 3, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, TRUE } }, |
310 | { "3x3 Intermediate", { 3, 3, SYMM_ROT2, DIFF_INTERSECT, DIFF_KMINMAX, FALSE, FALSE } }, |
311 | { "3x3 Advanced", { 3, 3, SYMM_ROT2, DIFF_SET, DIFF_KMINMAX, FALSE, FALSE } }, |
312 | { "3x3 Advanced X", { 3, 3, SYMM_ROT2, DIFF_SET, DIFF_KMINMAX, TRUE } }, |
313 | { "3x3 Extreme", { 3, 3, SYMM_ROT2, DIFF_EXTREME, DIFF_KMINMAX, FALSE, FALSE } }, |
314 | { "3x3 Unreasonable", { 3, 3, SYMM_ROT2, DIFF_RECURSIVE, DIFF_KMINMAX, FALSE, FALSE } }, |
315 | { "3x3 Killer", { 3, 3, SYMM_NONE, DIFF_BLOCK, DIFF_KINTERSECT, FALSE, TRUE } }, |
316 | { "9 Jigsaw Basic", { 9, 1, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, FALSE, FALSE } }, |
317 | { "9 Jigsaw Basic X", { 9, 1, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, TRUE } }, |
318 | { "9 Jigsaw Advanced", { 9, 1, SYMM_ROT2, DIFF_SET, DIFF_KMINMAX, FALSE, FALSE } }, |
ab53eb64 |
319 | #ifndef SLOW_SYSTEM |
ad599e2b |
320 | { "3x4 Basic", { 3, 4, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, FALSE, FALSE } }, |
321 | { "4x4 Basic", { 4, 4, SYMM_ROT2, DIFF_SIMPLE, DIFF_KMINMAX, FALSE, FALSE } }, |
ab53eb64 |
322 | #endif |
7c568a48 |
323 | }; |
324 | |
325 | if (i < 0 || i >= lenof(presets)) |
326 | return FALSE; |
327 | |
328 | *name = dupstr(presets[i].title); |
329 | *params = dup_params(&presets[i].params); |
330 | |
331 | return TRUE; |
332 | } |
333 | |
1185e3c5 |
334 | static void decode_params(game_params *ret, char const *string) |
1d8e8ad8 |
335 | { |
fbd0fc79 |
336 | int seen_r = FALSE; |
337 | |
1d8e8ad8 |
338 | ret->c = ret->r = atoi(string); |
fbd0fc79 |
339 | ret->xtype = FALSE; |
ad599e2b |
340 | ret->killer = FALSE; |
1d8e8ad8 |
341 | while (*string && isdigit((unsigned char)*string)) string++; |
342 | if (*string == 'x') { |
343 | string++; |
344 | ret->r = atoi(string); |
fbd0fc79 |
345 | seen_r = TRUE; |
1d8e8ad8 |
346 | while (*string && isdigit((unsigned char)*string)) string++; |
347 | } |
7c568a48 |
348 | while (*string) { |
fbd0fc79 |
349 | if (*string == 'j') { |
350 | string++; |
351 | if (seen_r) |
352 | ret->c *= ret->r; |
353 | ret->r = 1; |
354 | } else if (*string == 'x') { |
355 | string++; |
356 | ret->xtype = TRUE; |
ad599e2b |
357 | } else if (*string == 'k') { |
358 | string++; |
359 | ret->killer = TRUE; |
fbd0fc79 |
360 | } else if (*string == 'r' || *string == 'm' || *string == 'a') { |
154bf9b1 |
361 | int sn, sc, sd; |
7c568a48 |
362 | sc = *string++; |
28814d46 |
363 | if (sc == 'm' && *string == 'd') { |
154bf9b1 |
364 | sd = TRUE; |
365 | string++; |
366 | } else { |
367 | sd = FALSE; |
368 | } |
7c568a48 |
369 | sn = atoi(string); |
370 | while (*string && isdigit((unsigned char)*string)) string++; |
154bf9b1 |
371 | if (sc == 'm' && sn == 8) |
372 | ret->symm = SYMM_REF8; |
7c568a48 |
373 | if (sc == 'm' && sn == 4) |
154bf9b1 |
374 | ret->symm = sd ? SYMM_REF4D : SYMM_REF4; |
375 | if (sc == 'm' && sn == 2) |
376 | ret->symm = sd ? SYMM_REF2D : SYMM_REF2; |
7c568a48 |
377 | if (sc == 'r' && sn == 4) |
378 | ret->symm = SYMM_ROT4; |
379 | if (sc == 'r' && sn == 2) |
380 | ret->symm = SYMM_ROT2; |
381 | if (sc == 'a') |
382 | ret->symm = SYMM_NONE; |
383 | } else if (*string == 'd') { |
384 | string++; |
385 | if (*string == 't') /* trivial */ |
386 | string++, ret->diff = DIFF_BLOCK; |
387 | else if (*string == 'b') /* basic */ |
388 | string++, ret->diff = DIFF_SIMPLE; |
389 | else if (*string == 'i') /* intermediate */ |
390 | string++, ret->diff = DIFF_INTERSECT; |
391 | else if (*string == 'a') /* advanced */ |
392 | string++, ret->diff = DIFF_SET; |
13c4d60d |
393 | else if (*string == 'e') /* extreme */ |
44bf5f6f |
394 | string++, ret->diff = DIFF_EXTREME; |
de60d8bd |
395 | else if (*string == 'u') /* unreasonable */ |
396 | string++, ret->diff = DIFF_RECURSIVE; |
7c568a48 |
397 | } else |
398 | string++; /* eat unknown character */ |
ef57b17d |
399 | } |
1d8e8ad8 |
400 | } |
401 | |
1185e3c5 |
402 | static char *encode_params(game_params *params, int full) |
1d8e8ad8 |
403 | { |
404 | char str[80]; |
405 | |
fbd0fc79 |
406 | if (params->r > 1) |
407 | sprintf(str, "%dx%d", params->c, params->r); |
408 | else |
409 | sprintf(str, "%dj", params->c); |
410 | if (params->xtype) |
411 | strcat(str, "x"); |
ad599e2b |
412 | if (params->killer) |
413 | strcat(str, "k"); |
fbd0fc79 |
414 | |
1185e3c5 |
415 | if (full) { |
416 | switch (params->symm) { |
154bf9b1 |
417 | case SYMM_REF8: strcat(str, "m8"); break; |
1185e3c5 |
418 | case SYMM_REF4: strcat(str, "m4"); break; |
154bf9b1 |
419 | case SYMM_REF4D: strcat(str, "md4"); break; |
420 | case SYMM_REF2: strcat(str, "m2"); break; |
421 | case SYMM_REF2D: strcat(str, "md2"); break; |
1185e3c5 |
422 | case SYMM_ROT4: strcat(str, "r4"); break; |
423 | /* case SYMM_ROT2: strcat(str, "r2"); break; [default] */ |
424 | case SYMM_NONE: strcat(str, "a"); break; |
425 | } |
426 | switch (params->diff) { |
427 | /* case DIFF_BLOCK: strcat(str, "dt"); break; [default] */ |
428 | case DIFF_SIMPLE: strcat(str, "db"); break; |
429 | case DIFF_INTERSECT: strcat(str, "di"); break; |
430 | case DIFF_SET: strcat(str, "da"); break; |
44bf5f6f |
431 | case DIFF_EXTREME: strcat(str, "de"); break; |
1185e3c5 |
432 | case DIFF_RECURSIVE: strcat(str, "du"); break; |
433 | } |
434 | } |
1d8e8ad8 |
435 | return dupstr(str); |
436 | } |
437 | |
438 | static config_item *game_configure(game_params *params) |
439 | { |
440 | config_item *ret; |
441 | char buf[80]; |
442 | |
ad599e2b |
443 | ret = snewn(8, config_item); |
1d8e8ad8 |
444 | |
445 | ret[0].name = "Columns of sub-blocks"; |
446 | ret[0].type = C_STRING; |
447 | sprintf(buf, "%d", params->c); |
448 | ret[0].sval = dupstr(buf); |
449 | ret[0].ival = 0; |
450 | |
451 | ret[1].name = "Rows of sub-blocks"; |
452 | ret[1].type = C_STRING; |
453 | sprintf(buf, "%d", params->r); |
454 | ret[1].sval = dupstr(buf); |
455 | ret[1].ival = 0; |
456 | |
fbd0fc79 |
457 | ret[2].name = "\"X\" (require every number in each main diagonal)"; |
458 | ret[2].type = C_BOOLEAN; |
459 | ret[2].sval = NULL; |
460 | ret[2].ival = params->xtype; |
461 | |
81b09746 |
462 | ret[3].name = "Jigsaw (irregularly shaped sub-blocks)"; |
463 | ret[3].type = C_BOOLEAN; |
464 | ret[3].sval = NULL; |
465 | ret[3].ival = (params->r == 1); |
466 | |
ad599e2b |
467 | ret[4].name = "Killer (digit sums)"; |
468 | ret[4].type = C_BOOLEAN; |
469 | ret[4].sval = NULL; |
470 | ret[4].ival = params->killer; |
471 | |
472 | ret[5].name = "Symmetry"; |
473 | ret[5].type = C_CHOICES; |
474 | ret[5].sval = ":None:2-way rotation:4-way rotation:2-way mirror:" |
154bf9b1 |
475 | "2-way diagonal mirror:4-way mirror:4-way diagonal mirror:" |
476 | "8-way mirror"; |
ad599e2b |
477 | ret[5].ival = params->symm; |
ef57b17d |
478 | |
ad599e2b |
479 | ret[6].name = "Difficulty"; |
480 | ret[6].type = C_CHOICES; |
481 | ret[6].sval = ":Trivial:Basic:Intermediate:Advanced:Extreme:Unreasonable"; |
482 | ret[6].ival = params->diff; |
1d8e8ad8 |
483 | |
ad599e2b |
484 | ret[7].name = NULL; |
485 | ret[7].type = C_END; |
486 | ret[7].sval = NULL; |
487 | ret[7].ival = 0; |
1d8e8ad8 |
488 | |
489 | return ret; |
490 | } |
491 | |
492 | static game_params *custom_params(config_item *cfg) |
493 | { |
494 | game_params *ret = snew(game_params); |
495 | |
c1f743c8 |
496 | ret->c = atoi(cfg[0].sval); |
497 | ret->r = atoi(cfg[1].sval); |
fbd0fc79 |
498 | ret->xtype = cfg[2].ival; |
81b09746 |
499 | if (cfg[3].ival) { |
500 | ret->c *= ret->r; |
501 | ret->r = 1; |
502 | } |
ad599e2b |
503 | ret->killer = cfg[4].ival; |
504 | ret->symm = cfg[5].ival; |
505 | ret->diff = cfg[6].ival; |
506 | ret->kdiff = DIFF_KINTERSECT; |
1d8e8ad8 |
507 | |
508 | return ret; |
509 | } |
510 | |
3ff276f2 |
511 | static char *validate_params(game_params *params, int full) |
1d8e8ad8 |
512 | { |
fbd0fc79 |
513 | if (params->c < 2) |
1d8e8ad8 |
514 | return "Both dimensions must be at least 2"; |
515 | if (params->c > ORDER_MAX || params->r > ORDER_MAX) |
516 | return "Dimensions greater than "STR(ORDER_MAX)" are not supported"; |
ad599e2b |
517 | if ((params->c * params->r) > 31) |
518 | return "Unable to support more than 31 distinct symbols in a puzzle"; |
519 | if (params->killer && params->c * params->r > 9) |
520 | return "Killer puzzle dimensions must be smaller than 10."; |
1d8e8ad8 |
521 | return NULL; |
522 | } |
523 | |
ad599e2b |
524 | /* |
525 | * ---------------------------------------------------------------------- |
526 | * Block structure functions. |
527 | */ |
528 | |
529 | static struct block_structure *alloc_block_structure(int c, int r, int area, |
530 | int max_nr_squares, |
531 | int nr_blocks) |
532 | { |
533 | int i; |
534 | struct block_structure *b = snew(struct block_structure); |
535 | |
536 | b->refcount = 1; |
537 | b->nr_blocks = nr_blocks; |
538 | b->max_nr_squares = max_nr_squares; |
539 | b->c = c; b->r = r; b->area = area; |
540 | b->whichblock = snewn(area, int); |
541 | b->blocks_data = snewn(nr_blocks * max_nr_squares, int); |
542 | b->blocks = snewn(nr_blocks, int *); |
543 | b->nr_squares = snewn(nr_blocks, int); |
544 | |
545 | for (i = 0; i < nr_blocks; i++) |
546 | b->blocks[i] = b->blocks_data + i*max_nr_squares; |
547 | |
548 | #ifdef STANDALONE_SOLVER |
549 | b->blocknames = (char **)smalloc(c*r*(sizeof(char *)+80)); |
550 | for (i = 0; i < c * r; i++) |
551 | b->blocknames[i] = NULL; |
552 | #endif |
553 | return b; |
554 | } |
555 | |
556 | static void free_block_structure(struct block_structure *b) |
557 | { |
558 | if (--b->refcount == 0) { |
559 | sfree(b->whichblock); |
560 | sfree(b->blocks); |
561 | sfree(b->blocks_data); |
562 | #ifdef STANDALONE_SOLVER |
563 | sfree(b->blocknames); |
564 | #endif |
565 | sfree(b->nr_squares); |
566 | sfree(b); |
567 | } |
568 | } |
569 | |
570 | static struct block_structure *dup_block_structure(struct block_structure *b) |
571 | { |
572 | struct block_structure *nb; |
573 | int i; |
574 | |
575 | nb = alloc_block_structure(b->c, b->r, b->area, b->max_nr_squares, |
576 | b->nr_blocks); |
577 | memcpy(nb->nr_squares, b->nr_squares, b->nr_blocks * sizeof *b->nr_squares); |
578 | memcpy(nb->whichblock, b->whichblock, b->area * sizeof *b->whichblock); |
579 | memcpy(nb->blocks_data, b->blocks_data, |
580 | b->nr_blocks * b->max_nr_squares * sizeof *b->blocks_data); |
581 | for (i = 0; i < b->nr_blocks; i++) |
582 | nb->blocks[i] = nb->blocks_data + i*nb->max_nr_squares; |
583 | |
584 | #ifdef STANDALONE_SOLVER |
ad599e2b |
585 | memcpy(nb->blocknames, b->blocknames, b->c * b->r *(sizeof(char *)+80)); |
586 | { |
587 | int i; |
588 | for (i = 0; i < b->c * b->r; i++) |
589 | if (b->blocknames[i] == NULL) |
590 | nb->blocknames[i] = NULL; |
591 | else |
592 | nb->blocknames[i] = ((char *)nb->blocknames) + (b->blocknames[i] - (char *)b->blocknames); |
593 | } |
594 | #endif |
595 | return nb; |
596 | } |
597 | |
598 | static void split_block(struct block_structure *b, int *squares, int nr_squares) |
599 | { |
600 | int i, j; |
601 | int previous_block = b->whichblock[squares[0]]; |
602 | int newblock = b->nr_blocks; |
603 | |
604 | assert(b->max_nr_squares >= nr_squares); |
605 | assert(b->nr_squares[previous_block] > nr_squares); |
606 | |
607 | b->nr_blocks++; |
608 | b->blocks_data = sresize(b->blocks_data, |
609 | b->nr_blocks * b->max_nr_squares, int); |
610 | b->nr_squares = sresize(b->nr_squares, b->nr_blocks, int); |
611 | sfree(b->blocks); |
612 | b->blocks = snewn(b->nr_blocks, int *); |
613 | for (i = 0; i < b->nr_blocks; i++) |
614 | b->blocks[i] = b->blocks_data + i*b->max_nr_squares; |
615 | for (i = 0; i < nr_squares; i++) { |
616 | assert(b->whichblock[squares[i]] == previous_block); |
617 | b->whichblock[squares[i]] = newblock; |
618 | b->blocks[newblock][i] = squares[i]; |
619 | } |
620 | for (i = j = 0; i < b->nr_squares[previous_block]; i++) { |
621 | int k; |
622 | int sq = b->blocks[previous_block][i]; |
623 | for (k = 0; k < nr_squares; k++) |
624 | if (squares[k] == sq) |
625 | break; |
626 | if (k == nr_squares) |
627 | b->blocks[previous_block][j++] = sq; |
628 | } |
629 | b->nr_squares[previous_block] -= nr_squares; |
630 | b->nr_squares[newblock] = nr_squares; |
631 | } |
632 | |
633 | static void remove_from_block(struct block_structure *blocks, int b, int n) |
634 | { |
635 | int i, j; |
636 | blocks->whichblock[n] = -1; |
637 | for (i = j = 0; i < blocks->nr_squares[b]; i++) |
638 | if (blocks->blocks[b][i] != n) |
639 | blocks->blocks[b][j++] = blocks->blocks[b][i]; |
640 | assert(j+1 == i); |
641 | blocks->nr_squares[b]--; |
642 | } |
643 | |
1d8e8ad8 |
644 | /* ---------------------------------------------------------------------- |
ab362080 |
645 | * Solver. |
646 | * |
13c4d60d |
647 | * This solver is used for two purposes: |
ab362080 |
648 | * + to check solubility of a grid as we gradually remove numbers |
649 | * from it |
650 | * + to solve an externally generated puzzle when the user selects |
651 | * `Solve'. |
652 | * |
1d8e8ad8 |
653 | * It supports a variety of specific modes of reasoning. By |
654 | * enabling or disabling subsets of these modes we can arrange a |
655 | * range of difficulty levels. |
656 | */ |
657 | |
658 | /* |
659 | * Modes of reasoning currently supported: |
660 | * |
661 | * - Positional elimination: a number must go in a particular |
662 | * square because all the other empty squares in a given |
663 | * row/col/blk are ruled out. |
664 | * |
ad599e2b |
665 | * - Killer minmax elimination: for killer-type puzzles, a number |
666 | * is impossible if choosing it would cause the sum in a killer |
667 | * region to be guaranteed to be too large or too small. |
668 | * |
1d8e8ad8 |
669 | * - Numeric elimination: a square must have a particular number |
670 | * in because all the other numbers that could go in it are |
671 | * ruled out. |
672 | * |
7c568a48 |
673 | * - Intersectional analysis: given two domains which overlap |
1d8e8ad8 |
674 | * (hence one must be a block, and the other can be a row or |
675 | * col), if the possible locations for a particular number in |
676 | * one of the domains can be narrowed down to the overlap, then |
677 | * that number can be ruled out everywhere but the overlap in |
678 | * the other domain too. |
679 | * |
7c568a48 |
680 | * - Set elimination: if there is a subset of the empty squares |
681 | * within a domain such that the union of the possible numbers |
682 | * in that subset has the same size as the subset itself, then |
683 | * those numbers can be ruled out everywhere else in the domain. |
684 | * (For example, if there are five empty squares and the |
685 | * possible numbers in each are 12, 23, 13, 134 and 1345, then |
686 | * the first three empty squares form such a subset: the numbers |
687 | * 1, 2 and 3 _must_ be in those three squares in some |
688 | * permutation, and hence we can deduce none of them can be in |
689 | * the fourth or fifth squares.) |
690 | * + You can also see this the other way round, concentrating |
691 | * on numbers rather than squares: if there is a subset of |
692 | * the unplaced numbers within a domain such that the union |
693 | * of all their possible positions has the same size as the |
694 | * subset itself, then all other numbers can be ruled out for |
695 | * those positions. However, it turns out that this is |
696 | * exactly equivalent to the first formulation at all times: |
697 | * there is a 1-1 correspondence between suitable subsets of |
698 | * the unplaced numbers and suitable subsets of the unfilled |
699 | * places, found by taking the _complement_ of the union of |
700 | * the numbers' possible positions (or the spaces' possible |
701 | * contents). |
ab362080 |
702 | * |
fbd0fc79 |
703 | * - Forcing chains (see comment for solver_forcing().) |
13c4d60d |
704 | * |
ab362080 |
705 | * - Recursion. If all else fails, we pick one of the currently |
706 | * most constrained empty squares and take a random guess at its |
707 | * contents, then continue solving on that basis and see if we |
708 | * get any further. |
1d8e8ad8 |
709 | */ |
710 | |
ab362080 |
711 | struct solver_usage { |
fbd0fc79 |
712 | int cr; |
ad599e2b |
713 | struct block_structure *blocks, *kblocks, *extra_cages; |
1d8e8ad8 |
714 | /* |
715 | * We set up a cubic array, indexed by x, y and digit; each |
716 | * element of this array is TRUE or FALSE according to whether |
717 | * or not that digit _could_ in principle go in that position. |
718 | * |
fbd0fc79 |
719 | * The way to index this array is cube[(y*cr+x)*cr+n-1]; there |
720 | * are macros below to help with this. |
1d8e8ad8 |
721 | */ |
722 | unsigned char *cube; |
723 | /* |
724 | * This is the grid in which we write down our final |
4846f788 |
725 | * deductions. y-coordinates in here are _not_ transformed. |
1d8e8ad8 |
726 | */ |
727 | digit *grid; |
728 | /* |
ad599e2b |
729 | * For killer-type puzzles, kclues holds the secondary clue for |
730 | * each cage. For derived cages, the clue is in extra_clues. |
731 | */ |
732 | digit *kclues, *extra_clues; |
733 | /* |
1d8e8ad8 |
734 | * Now we keep track, at a slightly higher level, of what we |
735 | * have yet to work out, to prevent doing the same deduction |
736 | * many times. |
737 | */ |
738 | /* row[y*cr+n-1] TRUE if digit n has been placed in row y */ |
739 | unsigned char *row; |
740 | /* col[x*cr+n-1] TRUE if digit n has been placed in row x */ |
741 | unsigned char *col; |
fbd0fc79 |
742 | /* blk[i*cr+n-1] TRUE if digit n has been placed in block i */ |
1d8e8ad8 |
743 | unsigned char *blk; |
fbd0fc79 |
744 | /* diag[i*cr+n-1] TRUE if digit n has been placed in diagonal i */ |
745 | unsigned char *diag; /* diag 0 is \, 1 is / */ |
ad599e2b |
746 | |
747 | int *regions; |
748 | int nr_regions; |
749 | int **sq2region; |
1d8e8ad8 |
750 | }; |
fbd0fc79 |
751 | #define cubepos2(xy,n) ((xy)*usage->cr+(n)-1) |
752 | #define cubepos(x,y,n) cubepos2((y)*usage->cr+(x),n) |
4846f788 |
753 | #define cube(x,y,n) (usage->cube[cubepos(x,y,n)]) |
fbd0fc79 |
754 | #define cube2(xy,n) (usage->cube[cubepos2(xy,n)]) |
755 | |
756 | #define ondiag0(xy) ((xy) % (cr+1) == 0) |
757 | #define ondiag1(xy) ((xy) % (cr-1) == 0 && (xy) > 0 && (xy) < cr*cr-1) |
758 | #define diag0(i) ((i) * (cr+1)) |
759 | #define diag1(i) ((i+1) * (cr-1)) |
1d8e8ad8 |
760 | |
761 | /* |
762 | * Function called when we are certain that a particular square has |
4846f788 |
763 | * a particular number in it. The y-coordinate passed in here is |
764 | * transformed. |
1d8e8ad8 |
765 | */ |
ab362080 |
766 | static void solver_place(struct solver_usage *usage, int x, int y, int n) |
1d8e8ad8 |
767 | { |
fbd0fc79 |
768 | int cr = usage->cr; |
769 | int sqindex = y*cr+x; |
770 | int i, bi; |
1d8e8ad8 |
771 | |
772 | assert(cube(x,y,n)); |
773 | |
774 | /* |
775 | * Rule out all other numbers in this square. |
776 | */ |
777 | for (i = 1; i <= cr; i++) |
778 | if (i != n) |
779 | cube(x,y,i) = FALSE; |
780 | |
781 | /* |
782 | * Rule out this number in all other positions in the row. |
783 | */ |
784 | for (i = 0; i < cr; i++) |
785 | if (i != y) |
786 | cube(x,i,n) = FALSE; |
787 | |
788 | /* |
789 | * Rule out this number in all other positions in the column. |
790 | */ |
791 | for (i = 0; i < cr; i++) |
792 | if (i != x) |
793 | cube(i,y,n) = FALSE; |
794 | |
795 | /* |
796 | * Rule out this number in all other positions in the block. |
797 | */ |
fbd0fc79 |
798 | bi = usage->blocks->whichblock[sqindex]; |
799 | for (i = 0; i < cr; i++) { |
800 | int bp = usage->blocks->blocks[bi][i]; |
801 | if (bp != sqindex) |
802 | cube2(bp,n) = FALSE; |
803 | } |
1d8e8ad8 |
804 | |
805 | /* |
806 | * Enter the number in the result grid. |
807 | */ |
fbd0fc79 |
808 | usage->grid[sqindex] = n; |
1d8e8ad8 |
809 | |
810 | /* |
811 | * Cross out this number from the list of numbers left to place |
812 | * in its row, its column and its block. |
813 | */ |
814 | usage->row[y*cr+n-1] = usage->col[x*cr+n-1] = |
fbd0fc79 |
815 | usage->blk[bi*cr+n-1] = TRUE; |
816 | |
817 | if (usage->diag) { |
818 | if (ondiag0(sqindex)) { |
819 | for (i = 0; i < cr; i++) |
820 | if (diag0(i) != sqindex) |
821 | cube2(diag0(i),n) = FALSE; |
822 | usage->diag[n-1] = TRUE; |
823 | } |
824 | if (ondiag1(sqindex)) { |
825 | for (i = 0; i < cr; i++) |
826 | if (diag1(i) != sqindex) |
827 | cube2(diag1(i),n) = FALSE; |
828 | usage->diag[cr+n-1] = TRUE; |
829 | } |
830 | } |
1d8e8ad8 |
831 | } |
832 | |
4d75528b |
833 | #if defined STANDALONE_SOLVER && defined __GNUC__ |
834 | /* |
835 | * Forward-declare the functions taking printf-like format arguments |
836 | * with __attribute__((format)) so as to ensure the argument syntax |
837 | * gets debugged. |
838 | */ |
839 | struct solver_scratch; |
840 | static int solver_elim(struct solver_usage *usage, int *indices, |
841 | char *fmt, ...) __attribute__((format(printf,3,4))); |
842 | static int solver_intersect(struct solver_usage *usage, |
843 | int *indices1, int *indices2, char *fmt, ...) |
844 | __attribute__((format(printf,4,5))); |
845 | static int solver_set(struct solver_usage *usage, |
846 | struct solver_scratch *scratch, |
847 | int *indices, char *fmt, ...) |
848 | __attribute__((format(printf,4,5))); |
849 | #endif |
850 | |
fbd0fc79 |
851 | static int solver_elim(struct solver_usage *usage, int *indices |
7c568a48 |
852 | #ifdef STANDALONE_SOLVER |
853 | , char *fmt, ... |
854 | #endif |
855 | ) |
1d8e8ad8 |
856 | { |
fbd0fc79 |
857 | int cr = usage->cr; |
4846f788 |
858 | int fpos, m, i; |
1d8e8ad8 |
859 | |
860 | /* |
4846f788 |
861 | * Count the number of set bits within this section of the |
862 | * cube. |
1d8e8ad8 |
863 | */ |
864 | m = 0; |
4846f788 |
865 | fpos = -1; |
866 | for (i = 0; i < cr; i++) |
fbd0fc79 |
867 | if (usage->cube[indices[i]]) { |
868 | fpos = indices[i]; |
1d8e8ad8 |
869 | m++; |
870 | } |
871 | |
872 | if (m == 1) { |
4846f788 |
873 | int x, y, n; |
874 | assert(fpos >= 0); |
1d8e8ad8 |
875 | |
4846f788 |
876 | n = 1 + fpos % cr; |
fbd0fc79 |
877 | x = fpos / cr; |
878 | y = x / cr; |
879 | x %= cr; |
1d8e8ad8 |
880 | |
fbd0fc79 |
881 | if (!usage->grid[y*cr+x]) { |
7c568a48 |
882 | #ifdef STANDALONE_SOLVER |
883 | if (solver_show_working) { |
884 | va_list ap; |
fdb3b29a |
885 | printf("%*s", solver_recurse_depth*4, ""); |
7c568a48 |
886 | va_start(ap, fmt); |
887 | vprintf(fmt, ap); |
888 | va_end(ap); |
ab362080 |
889 | printf(":\n%*s placing %d at (%d,%d)\n", |
fbd0fc79 |
890 | solver_recurse_depth*4, "", n, 1+x, 1+y); |
7c568a48 |
891 | } |
892 | #endif |
ab362080 |
893 | solver_place(usage, x, y, n); |
894 | return +1; |
3ddae0ff |
895 | } |
ab362080 |
896 | } else if (m == 0) { |
897 | #ifdef STANDALONE_SOLVER |
898 | if (solver_show_working) { |
ab362080 |
899 | va_list ap; |
fdb3b29a |
900 | printf("%*s", solver_recurse_depth*4, ""); |
ab362080 |
901 | va_start(ap, fmt); |
902 | vprintf(fmt, ap); |
903 | va_end(ap); |
904 | printf(":\n%*s no possibilities available\n", |
905 | solver_recurse_depth*4, ""); |
906 | } |
907 | #endif |
908 | return -1; |
1d8e8ad8 |
909 | } |
910 | |
ab362080 |
911 | return 0; |
1d8e8ad8 |
912 | } |
913 | |
ab362080 |
914 | static int solver_intersect(struct solver_usage *usage, |
fbd0fc79 |
915 | int *indices1, int *indices2 |
7c568a48 |
916 | #ifdef STANDALONE_SOLVER |
917 | , char *fmt, ... |
918 | #endif |
919 | ) |
920 | { |
fbd0fc79 |
921 | int cr = usage->cr; |
922 | int ret, i, j; |
7c568a48 |
923 | |
924 | /* |
925 | * Loop over the first domain and see if there's any set bit |
926 | * not also in the second. |
927 | */ |
fbd0fc79 |
928 | for (i = j = 0; i < cr; i++) { |
929 | int p = indices1[i]; |
930 | while (j < cr && indices2[j] < p) |
931 | j++; |
932 | if (usage->cube[p]) { |
933 | if (j < cr && indices2[j] == p) |
934 | continue; /* both domains contain this index */ |
935 | else |
936 | return 0; /* there is, so we can't deduce */ |
937 | } |
7c568a48 |
938 | } |
939 | |
940 | /* |
941 | * We have determined that all set bits in the first domain are |
942 | * within its overlap with the second. So loop over the second |
943 | * domain and remove all set bits that aren't also in that |
ab362080 |
944 | * overlap; return +1 iff we actually _did_ anything. |
7c568a48 |
945 | */ |
ab362080 |
946 | ret = 0; |
fbd0fc79 |
947 | for (i = j = 0; i < cr; i++) { |
948 | int p = indices2[i]; |
949 | while (j < cr && indices1[j] < p) |
950 | j++; |
951 | if (usage->cube[p] && (j >= cr || indices1[j] != p)) { |
7c568a48 |
952 | #ifdef STANDALONE_SOLVER |
953 | if (solver_show_working) { |
954 | int px, py, pn; |
955 | |
956 | if (!ret) { |
957 | va_list ap; |
fdb3b29a |
958 | printf("%*s", solver_recurse_depth*4, ""); |
7c568a48 |
959 | va_start(ap, fmt); |
960 | vprintf(fmt, ap); |
961 | va_end(ap); |
962 | printf(":\n"); |
963 | } |
964 | |
965 | pn = 1 + p % cr; |
fbd0fc79 |
966 | px = p / cr; |
967 | py = px / cr; |
968 | px %= cr; |
7c568a48 |
969 | |
ab362080 |
970 | printf("%*s ruling out %d at (%d,%d)\n", |
fbd0fc79 |
971 | solver_recurse_depth*4, "", pn, 1+px, 1+py); |
7c568a48 |
972 | } |
973 | #endif |
ab362080 |
974 | ret = +1; /* we did something */ |
7c568a48 |
975 | usage->cube[p] = 0; |
976 | } |
977 | } |
978 | |
979 | return ret; |
980 | } |
981 | |
ab362080 |
982 | struct solver_scratch { |
ab53eb64 |
983 | unsigned char *grid, *rowidx, *colidx, *set; |
44bf5f6f |
984 | int *neighbours, *bfsqueue; |
fbd0fc79 |
985 | int *indexlist, *indexlist2; |
44bf5f6f |
986 | #ifdef STANDALONE_SOLVER |
987 | int *bfsprev; |
988 | #endif |
ab53eb64 |
989 | }; |
990 | |
ab362080 |
991 | static int solver_set(struct solver_usage *usage, |
992 | struct solver_scratch *scratch, |
fbd0fc79 |
993 | int *indices |
7c568a48 |
994 | #ifdef STANDALONE_SOLVER |
995 | , char *fmt, ... |
996 | #endif |
997 | ) |
998 | { |
fbd0fc79 |
999 | int cr = usage->cr; |
7c568a48 |
1000 | int i, j, n, count; |
ab53eb64 |
1001 | unsigned char *grid = scratch->grid; |
1002 | unsigned char *rowidx = scratch->rowidx; |
1003 | unsigned char *colidx = scratch->colidx; |
1004 | unsigned char *set = scratch->set; |
7c568a48 |
1005 | |
1006 | /* |
1007 | * We are passed a cr-by-cr matrix of booleans. Our first job |
1008 | * is to winnow it by finding any definite placements - i.e. |
1009 | * any row with a solitary 1 - and discarding that row and the |
1010 | * column containing the 1. |
1011 | */ |
1012 | memset(rowidx, TRUE, cr); |
1013 | memset(colidx, TRUE, cr); |
1014 | for (i = 0; i < cr; i++) { |
1015 | int count = 0, first = -1; |
1016 | for (j = 0; j < cr; j++) |
fbd0fc79 |
1017 | if (usage->cube[indices[i*cr+j]]) |
7c568a48 |
1018 | first = j, count++; |
ab362080 |
1019 | |
1020 | /* |
1021 | * If count == 0, then there's a row with no 1s at all and |
1022 | * the puzzle is internally inconsistent. However, we ought |
1023 | * to have caught this already during the simpler reasoning |
1024 | * methods, so we can safely fail an assertion if we reach |
1025 | * this point here. |
1026 | */ |
1027 | assert(count > 0); |
7c568a48 |
1028 | if (count == 1) |
1029 | rowidx[i] = colidx[first] = FALSE; |
1030 | } |
1031 | |
1032 | /* |
1033 | * Convert each of rowidx/colidx from a list of 0s and 1s to a |
1034 | * list of the indices of the 1s. |
1035 | */ |
1036 | for (i = j = 0; i < cr; i++) |
1037 | if (rowidx[i]) |
1038 | rowidx[j++] = i; |
1039 | n = j; |
1040 | for (i = j = 0; i < cr; i++) |
1041 | if (colidx[i]) |
1042 | colidx[j++] = i; |
1043 | assert(n == j); |
1044 | |
1045 | /* |
1046 | * And create the smaller matrix. |
1047 | */ |
1048 | for (i = 0; i < n; i++) |
1049 | for (j = 0; j < n; j++) |
fbd0fc79 |
1050 | grid[i*cr+j] = usage->cube[indices[rowidx[i]*cr+colidx[j]]]; |
7c568a48 |
1051 | |
1052 | /* |
1053 | * Having done that, we now have a matrix in which every row |
1054 | * has at least two 1s in. Now we search to see if we can find |
1055 | * a rectangle of zeroes (in the set-theoretic sense of |
1056 | * `rectangle', i.e. a subset of rows crossed with a subset of |
1057 | * columns) whose width and height add up to n. |
1058 | */ |
1059 | |
1060 | memset(set, 0, n); |
1061 | count = 0; |
1062 | while (1) { |
1063 | /* |
1064 | * We have a candidate set. If its size is <=1 or >=n-1 |
1065 | * then we move on immediately. |
1066 | */ |
1067 | if (count > 1 && count < n-1) { |
1068 | /* |
1069 | * The number of rows we need is n-count. See if we can |
1070 | * find that many rows which each have a zero in all |
1071 | * the positions listed in `set'. |
1072 | */ |
1073 | int rows = 0; |
1074 | for (i = 0; i < n; i++) { |
1075 | int ok = TRUE; |
1076 | for (j = 0; j < n; j++) |
1077 | if (set[j] && grid[i*cr+j]) { |
1078 | ok = FALSE; |
1079 | break; |
1080 | } |
1081 | if (ok) |
1082 | rows++; |
1083 | } |
1084 | |
1085 | /* |
1086 | * We expect never to be able to get _more_ than |
1087 | * n-count suitable rows: this would imply that (for |
1088 | * example) there are four numbers which between them |
1089 | * have at most three possible positions, and hence it |
1090 | * indicates a faulty deduction before this point or |
1091 | * even a bogus clue. |
1092 | */ |
ab362080 |
1093 | if (rows > n - count) { |
1094 | #ifdef STANDALONE_SOLVER |
1095 | if (solver_show_working) { |
fdb3b29a |
1096 | va_list ap; |
ab362080 |
1097 | printf("%*s", solver_recurse_depth*4, |
1098 | ""); |
ab362080 |
1099 | va_start(ap, fmt); |
1100 | vprintf(fmt, ap); |
1101 | va_end(ap); |
1102 | printf(":\n%*s contradiction reached\n", |
1103 | solver_recurse_depth*4, ""); |
1104 | } |
1105 | #endif |
1106 | return -1; |
1107 | } |
1108 | |
7c568a48 |
1109 | if (rows >= n - count) { |
1110 | int progress = FALSE; |
1111 | |
1112 | /* |
1113 | * We've got one! Now, for each row which _doesn't_ |
1114 | * satisfy the criterion, eliminate all its set |
1115 | * bits in the positions _not_ listed in `set'. |
ab362080 |
1116 | * Return +1 (meaning progress has been made) if we |
1117 | * successfully eliminated anything at all. |
7c568a48 |
1118 | * |
1119 | * This involves referring back through |
1120 | * rowidx/colidx in order to work out which actual |
1121 | * positions in the cube to meddle with. |
1122 | */ |
1123 | for (i = 0; i < n; i++) { |
1124 | int ok = TRUE; |
1125 | for (j = 0; j < n; j++) |
1126 | if (set[j] && grid[i*cr+j]) { |
1127 | ok = FALSE; |
1128 | break; |
1129 | } |
1130 | if (!ok) { |
1131 | for (j = 0; j < n; j++) |
1132 | if (!set[j] && grid[i*cr+j]) { |
fbd0fc79 |
1133 | int fpos = indices[rowidx[i]*cr+colidx[j]]; |
7c568a48 |
1134 | #ifdef STANDALONE_SOLVER |
1135 | if (solver_show_working) { |
1136 | int px, py, pn; |
ab362080 |
1137 | |
7c568a48 |
1138 | if (!progress) { |
fdb3b29a |
1139 | va_list ap; |
ab362080 |
1140 | printf("%*s", solver_recurse_depth*4, |
1141 | ""); |
7c568a48 |
1142 | va_start(ap, fmt); |
1143 | vprintf(fmt, ap); |
1144 | va_end(ap); |
1145 | printf(":\n"); |
1146 | } |
1147 | |
1148 | pn = 1 + fpos % cr; |
fbd0fc79 |
1149 | px = fpos / cr; |
1150 | py = px / cr; |
1151 | px %= cr; |
7c568a48 |
1152 | |
ab362080 |
1153 | printf("%*s ruling out %d at (%d,%d)\n", |
1154 | solver_recurse_depth*4, "", |
fbd0fc79 |
1155 | pn, 1+px, 1+py); |
7c568a48 |
1156 | } |
1157 | #endif |
1158 | progress = TRUE; |
1159 | usage->cube[fpos] = FALSE; |
1160 | } |
1161 | } |
1162 | } |
1163 | |
1164 | if (progress) { |
ab362080 |
1165 | return +1; |
7c568a48 |
1166 | } |
1167 | } |
1168 | } |
1169 | |
1170 | /* |
1171 | * Binary increment: change the rightmost 0 to a 1, and |
1172 | * change all 1s to the right of it to 0s. |
1173 | */ |
1174 | i = n; |
1175 | while (i > 0 && set[i-1]) |
1176 | set[--i] = 0, count--; |
1177 | if (i > 0) |
1178 | set[--i] = 1, count++; |
1179 | else |
1180 | break; /* done */ |
1181 | } |
1182 | |
ab362080 |
1183 | return 0; |
7c568a48 |
1184 | } |
1185 | |
13c4d60d |
1186 | /* |
44bf5f6f |
1187 | * Look for forcing chains. A forcing chain is a path of |
1188 | * pairwise-exclusive squares (i.e. each pair of adjacent squares |
1189 | * in the path are in the same row, column or block) with the |
1190 | * following properties: |
1191 | * |
1192 | * (a) Each square on the path has precisely two possible numbers. |
1193 | * |
1194 | * (b) Each pair of squares which are adjacent on the path share |
fbd0fc79 |
1195 | * at least one possible number in common. |
44bf5f6f |
1196 | * |
1197 | * (c) Each square in the middle of the path shares _both_ of its |
fbd0fc79 |
1198 | * numbers with at least one of its neighbours (not the same |
1199 | * one with both neighbours). |
44bf5f6f |
1200 | * |
1201 | * These together imply that at least one of the possible number |
1202 | * choices at one end of the path forces _all_ the rest of the |
1203 | * numbers along the path. In order to make real use of this, we |
1204 | * need further properties: |
1205 | * |
fbd0fc79 |
1206 | * (c) Ruling out some number N from the square at one end of the |
1207 | * path forces the square at the other end to take the same |
1208 | * number N. |
44bf5f6f |
1209 | * |
1210 | * (d) The two end squares are both in line with some third |
fbd0fc79 |
1211 | * square. |
44bf5f6f |
1212 | * |
1213 | * (e) That third square currently has N as a possibility. |
1214 | * |
1215 | * If we can find all of that lot, we can deduce that at least one |
1216 | * of the two ends of the forcing chain has number N, and that |
1217 | * therefore the mutually adjacent third square does not. |
1218 | * |
1219 | * To find forcing chains, we're going to start a bfs at each |
1220 | * suitable square, once for each of its two possible numbers. |
1221 | */ |
1222 | static int solver_forcing(struct solver_usage *usage, |
1223 | struct solver_scratch *scratch) |
1224 | { |
fbd0fc79 |
1225 | int cr = usage->cr; |
44bf5f6f |
1226 | int *bfsqueue = scratch->bfsqueue; |
1227 | #ifdef STANDALONE_SOLVER |
1228 | int *bfsprev = scratch->bfsprev; |
1229 | #endif |
1230 | unsigned char *number = scratch->grid; |
1231 | int *neighbours = scratch->neighbours; |
1232 | int x, y; |
1233 | |
1234 | for (y = 0; y < cr; y++) |
1235 | for (x = 0; x < cr; x++) { |
1236 | int count, t, n; |
1237 | |
1238 | /* |
1239 | * If this square doesn't have exactly two candidate |
1240 | * numbers, don't try it. |
1241 | * |
1242 | * In this loop we also sum the candidate numbers, |
1243 | * which is a nasty hack to allow us to quickly find |
1244 | * `the other one' (since we will shortly know there |
1245 | * are exactly two). |
1246 | */ |
1247 | for (count = t = 0, n = 1; n <= cr; n++) |
1248 | if (cube(x, y, n)) |
1249 | count++, t += n; |
1250 | if (count != 2) |
1251 | continue; |
1252 | |
1253 | /* |
1254 | * Now attempt a bfs for each candidate. |
1255 | */ |
1256 | for (n = 1; n <= cr; n++) |
1257 | if (cube(x, y, n)) { |
1258 | int orign, currn, head, tail; |
1259 | |
1260 | /* |
1261 | * Begin a bfs. |
1262 | */ |
1263 | orign = n; |
1264 | |
1265 | memset(number, cr+1, cr*cr); |
1266 | head = tail = 0; |
1267 | bfsqueue[tail++] = y*cr+x; |
1268 | #ifdef STANDALONE_SOLVER |
1269 | bfsprev[y*cr+x] = -1; |
1270 | #endif |
1271 | number[y*cr+x] = t - n; |
1272 | |
1273 | while (head < tail) { |
fbd0fc79 |
1274 | int xx, yy, nneighbours, xt, yt, i; |
44bf5f6f |
1275 | |
1276 | xx = bfsqueue[head++]; |
1277 | yy = xx / cr; |
1278 | xx %= cr; |
1279 | |
1280 | currn = number[yy*cr+xx]; |
1281 | |
1282 | /* |
1283 | * Find neighbours of yy,xx. |
1284 | */ |
1285 | nneighbours = 0; |
1286 | for (yt = 0; yt < cr; yt++) |
1287 | neighbours[nneighbours++] = yt*cr+xx; |
1288 | for (xt = 0; xt < cr; xt++) |
1289 | neighbours[nneighbours++] = yy*cr+xt; |
fbd0fc79 |
1290 | xt = usage->blocks->whichblock[yy*cr+xx]; |
1291 | for (yt = 0; yt < cr; yt++) |
1292 | neighbours[nneighbours++] = usage->blocks->blocks[xt][yt]; |
1293 | if (usage->diag) { |
1294 | int sqindex = yy*cr+xx; |
1295 | if (ondiag0(sqindex)) { |
1296 | for (i = 0; i < cr; i++) |
1297 | neighbours[nneighbours++] = diag0(i); |
1298 | } |
1299 | if (ondiag1(sqindex)) { |
1300 | for (i = 0; i < cr; i++) |
1301 | neighbours[nneighbours++] = diag1(i); |
1302 | } |
1303 | } |
44bf5f6f |
1304 | |
1305 | /* |
1306 | * Try visiting each of those neighbours. |
1307 | */ |
1308 | for (i = 0; i < nneighbours; i++) { |
1309 | int cc, tt, nn; |
1310 | |
1311 | xt = neighbours[i] % cr; |
1312 | yt = neighbours[i] / cr; |
1313 | |
1314 | /* |
1315 | * We need this square to not be |
1316 | * already visited, and to include |
1317 | * currn as a possible number. |
1318 | */ |
1319 | if (number[yt*cr+xt] <= cr) |
1320 | continue; |
1321 | if (!cube(xt, yt, currn)) |
1322 | continue; |
1323 | |
1324 | /* |
1325 | * Don't visit _this_ square a second |
1326 | * time! |
1327 | */ |
1328 | if (xt == xx && yt == yy) |
1329 | continue; |
1330 | |
1331 | /* |
1332 | * To continue with the bfs, we need |
1333 | * this square to have exactly two |
1334 | * possible numbers. |
1335 | */ |
1336 | for (cc = tt = 0, nn = 1; nn <= cr; nn++) |
1337 | if (cube(xt, yt, nn)) |
1338 | cc++, tt += nn; |
1339 | if (cc == 2) { |
1340 | bfsqueue[tail++] = yt*cr+xt; |
1341 | #ifdef STANDALONE_SOLVER |
1342 | bfsprev[yt*cr+xt] = yy*cr+xx; |
1343 | #endif |
1344 | number[yt*cr+xt] = tt - currn; |
1345 | } |
1346 | |
1347 | /* |
1348 | * One other possibility is that this |
1349 | * might be the square in which we can |
1350 | * make a real deduction: if it's |
1351 | * adjacent to x,y, and currn is equal |
1352 | * to the original number we ruled out. |
1353 | */ |
1354 | if (currn == orign && |
1355 | (xt == x || yt == y || |
fbd0fc79 |
1356 | (usage->blocks->whichblock[yt*cr+xt] == usage->blocks->whichblock[y*cr+x]) || |
1357 | (usage->diag && ((ondiag0(yt*cr+xt) && ondiag0(y*cr+x)) || |
1358 | (ondiag1(yt*cr+xt) && ondiag1(y*cr+x)))))) { |
44bf5f6f |
1359 | #ifdef STANDALONE_SOLVER |
1360 | if (solver_show_working) { |
1361 | char *sep = ""; |
1362 | int xl, yl; |
1363 | printf("%*sforcing chain, %d at ends of ", |
1364 | solver_recurse_depth*4, "", orign); |
1365 | xl = xx; |
1366 | yl = yy; |
1367 | while (1) { |
1368 | printf("%s(%d,%d)", sep, 1+xl, |
fbd0fc79 |
1369 | 1+yl); |
44bf5f6f |
1370 | xl = bfsprev[yl*cr+xl]; |
1371 | if (xl < 0) |
1372 | break; |
1373 | yl = xl / cr; |
1374 | xl %= cr; |
1375 | sep = "-"; |
1376 | } |
1377 | printf("\n%*s ruling out %d at (%d,%d)\n", |
1378 | solver_recurse_depth*4, "", |
fbd0fc79 |
1379 | orign, 1+xt, 1+yt); |
44bf5f6f |
1380 | } |
1381 | #endif |
1382 | cube(xt, yt, orign) = FALSE; |
1383 | return 1; |
1384 | } |
1385 | } |
1386 | } |
1387 | } |
1388 | } |
1389 | |
1390 | return 0; |
1391 | } |
1392 | |
ad599e2b |
1393 | static int solver_killer_minmax(struct solver_usage *usage, |
1394 | struct block_structure *cages, digit *clues, |
1395 | int b |
1396 | #ifdef STANDALONE_SOLVER |
1397 | , const char *extra |
1398 | #endif |
1399 | ) |
1400 | { |
1401 | int cr = usage->cr; |
1402 | int i; |
1403 | int ret = 0; |
1404 | int nsquares = cages->nr_squares[b]; |
1405 | |
1406 | if (clues[b] == 0) |
1407 | return 0; |
1408 | |
1409 | for (i = 0; i < nsquares; i++) { |
1410 | int n, x = cages->blocks[b][i]; |
1411 | |
1412 | for (n = 1; n <= cr; n++) |
1413 | if (cube2(x, n)) { |
1414 | int maxval = 0, minval = 0; |
1415 | int j; |
1416 | for (j = 0; j < nsquares; j++) { |
1417 | int m; |
1418 | int y = cages->blocks[b][j]; |
1419 | if (i == j) |
1420 | continue; |
1421 | for (m = 1; m <= cr; m++) |
1422 | if (cube2(y, m)) { |
1423 | minval += m; |
1424 | break; |
1425 | } |
1426 | for (m = cr; m > 0; m--) |
1427 | if (cube2(y, m)) { |
1428 | maxval += m; |
1429 | break; |
1430 | } |
1431 | } |
1432 | if (maxval + n < clues[b]) { |
1433 | cube2(x, n) = FALSE; |
1434 | ret = 1; |
1435 | #ifdef STANDALONE_SOLVER |
1436 | if (solver_show_working) |
1437 | printf("%*s ruling out %d at (%d,%d) as too low %s\n", |
1438 | solver_recurse_depth*4, "killer minmax analysis", |
1439 | n, 1 + x%cr, 1 + x/cr, extra); |
1440 | #endif |
1441 | } |
1442 | if (minval + n > clues[b]) { |
1443 | cube2(x, n) = FALSE; |
1444 | ret = 1; |
1445 | #ifdef STANDALONE_SOLVER |
1446 | if (solver_show_working) |
1447 | printf("%*s ruling out %d at (%d,%d) as too high %s\n", |
1448 | solver_recurse_depth*4, "killer minmax analysis", |
1449 | n, 1 + x%cr, 1 + x/cr, extra); |
1450 | #endif |
1451 | } |
1452 | } |
1453 | } |
1454 | return ret; |
1455 | } |
1456 | |
1457 | static int solver_killer_sums(struct solver_usage *usage, int b, |
1458 | struct block_structure *cages, int clue, |
1459 | int cage_is_region |
1460 | #ifdef STANDALONE_SOLVER |
1461 | , const char *cage_type |
1462 | #endif |
1463 | ) |
1464 | { |
1465 | int cr = usage->cr; |
1466 | int i, ret, max_sums; |
1467 | int nsquares = cages->nr_squares[b]; |
64da106a |
1468 | unsigned long *sumbits, possible_addends; |
ad599e2b |
1469 | |
1470 | if (clue == 0) { |
1471 | assert(nsquares == 0); |
1472 | return 0; |
1473 | } |
1474 | assert(nsquares > 0); |
1475 | |
3126844d |
1476 | if (nsquares < 2 || nsquares > 4) |
ad599e2b |
1477 | return 0; |
1478 | |
1479 | if (!cage_is_region) { |
1480 | int known_row = -1, known_col = -1, known_block = -1; |
1481 | /* |
1482 | * Verify that the cage lies entirely within one region, |
1483 | * so that using the precomputed sums is valid. |
1484 | */ |
1485 | for (i = 0; i < nsquares; i++) { |
1486 | int x = cages->blocks[b][i]; |
1487 | |
1488 | assert(usage->grid[x] == 0); |
1489 | |
1490 | if (i == 0) { |
1491 | known_row = x/cr; |
1492 | known_col = x%cr; |
1493 | known_block = usage->blocks->whichblock[x]; |
1494 | } else { |
1495 | if (known_row != x/cr) |
1496 | known_row = -1; |
1497 | if (known_col != x%cr) |
1498 | known_col = -1; |
1499 | if (known_block != usage->blocks->whichblock[x]) |
1500 | known_block = -1; |
1501 | } |
1502 | } |
1503 | if (known_block == -1 && known_col == -1 && known_row == -1) |
1504 | return 0; |
1505 | } |
1506 | if (nsquares == 2) { |
1507 | if (clue < 3 || clue > 17) |
1508 | return -1; |
1509 | |
1510 | sumbits = sum_bits2[clue]; |
1511 | max_sums = MAX_2SUMS; |
1512 | } else if (nsquares == 3) { |
1513 | if (clue < 6 || clue > 24) |
1514 | return -1; |
1515 | |
1516 | sumbits = sum_bits3[clue]; |
1517 | max_sums = MAX_3SUMS; |
1518 | } else { |
1519 | if (clue < 10 || clue > 30) |
1520 | return -1; |
1521 | |
1522 | sumbits = sum_bits4[clue]; |
1523 | max_sums = MAX_4SUMS; |
1524 | } |
1525 | /* |
1526 | * For every possible way to get the sum, see if there is |
1527 | * one square in the cage that disallows all the required |
1528 | * addends. If we find one such square, this way to compute |
1529 | * the sum is impossible. |
1530 | */ |
1531 | possible_addends = 0; |
1532 | for (i = 0; i < max_sums; i++) { |
1533 | int j; |
64da106a |
1534 | unsigned long bits = sumbits[i]; |
ad599e2b |
1535 | |
1536 | if (bits == 0) |
1537 | break; |
1538 | |
1539 | for (j = 0; j < nsquares; j++) { |
1540 | int n; |
64da106a |
1541 | unsigned long square_bits = bits; |
ad599e2b |
1542 | int x = cages->blocks[b][j]; |
1543 | for (n = 1; n <= cr; n++) |
1544 | if (!cube2(x, n)) |
64da106a |
1545 | square_bits &= ~(1L << n); |
ad599e2b |
1546 | if (square_bits == 0) { |
1547 | break; |
1548 | } |
1549 | } |
1550 | if (j == nsquares) |
1551 | possible_addends |= bits; |
1552 | } |
1553 | /* |
1554 | * Now we know which addends can possibly be used to |
1555 | * compute the sum. Remove all other digits from the |
1556 | * set of possibilities. |
1557 | */ |
1558 | if (possible_addends == 0) |
1559 | return -1; |
1560 | |
1561 | ret = 0; |
1562 | for (i = 0; i < nsquares; i++) { |
1563 | int n; |
1564 | int x = cages->blocks[b][i]; |
1565 | for (n = 1; n <= cr; n++) { |
1566 | if (!cube2(x, n)) |
1567 | continue; |
1568 | if ((possible_addends & (1 << n)) == 0) { |
1569 | cube2(x, n) = FALSE; |
1570 | ret = 1; |
1571 | #ifdef STANDALONE_SOLVER |
1572 | if (solver_show_working) { |
1573 | printf("%*s using %s\n", |
1574 | solver_recurse_depth*4, "killer sums analysis", |
1575 | cage_type); |
1576 | printf("%*s ruling out %d at (%d,%d) due to impossible %d-sum\n", |
1577 | solver_recurse_depth*4, "", |
1578 | n, 1 + x%cr, 1 + x/cr, nsquares); |
1579 | } |
1580 | #endif |
1581 | } |
1582 | } |
1583 | } |
1584 | return ret; |
1585 | } |
1586 | |
1587 | static int filter_whole_cages(struct solver_usage *usage, int *squares, int n, |
1588 | int *filtered_sum) |
1589 | { |
1590 | int b, i, j, off; |
1591 | *filtered_sum = 0; |
1592 | |
1593 | /* First, filter squares with a clue. */ |
1594 | for (i = j = 0; i < n; i++) |
1595 | if (usage->grid[squares[i]]) |
1596 | *filtered_sum += usage->grid[squares[i]]; |
1597 | else |
1598 | squares[j++] = squares[i]; |
1599 | n = j; |
1600 | |
1601 | /* |
1602 | * Filter all cages that are covered entirely by the list of |
1603 | * squares. |
1604 | */ |
1605 | off = 0; |
1606 | for (b = 0; b < usage->kblocks->nr_blocks && off < n; b++) { |
1607 | int b_squares = usage->kblocks->nr_squares[b]; |
1608 | int matched = 0; |
1609 | |
1610 | if (b_squares == 0) |
1611 | continue; |
1612 | |
1613 | /* |
1614 | * Find all squares of block b that lie in our list, |
1615 | * and make them contiguous at off, which is the current position |
1616 | * in the output list. |
1617 | */ |
1618 | for (i = 0; i < b_squares; i++) { |
1619 | for (j = off; j < n; j++) |
1620 | if (squares[j] == usage->kblocks->blocks[b][i]) { |
1621 | int t = squares[off + matched]; |
1622 | squares[off + matched] = squares[j]; |
1623 | squares[j] = t; |
1624 | matched++; |
1625 | break; |
1626 | } |
1627 | } |
1628 | /* If so, filter out all squares of b from the list. */ |
1629 | if (matched != usage->kblocks->nr_squares[b]) { |
1630 | off += matched; |
1631 | continue; |
1632 | } |
1633 | memmove(squares + off, squares + off + matched, |
1634 | (n - off - matched) * sizeof *squares); |
1635 | n -= matched; |
1636 | |
1637 | *filtered_sum += usage->kclues[b]; |
1638 | } |
1639 | assert(off == n); |
1640 | return off; |
1641 | } |
1642 | |
ab362080 |
1643 | static struct solver_scratch *solver_new_scratch(struct solver_usage *usage) |
ab53eb64 |
1644 | { |
ab362080 |
1645 | struct solver_scratch *scratch = snew(struct solver_scratch); |
ab53eb64 |
1646 | int cr = usage->cr; |
1647 | scratch->grid = snewn(cr*cr, unsigned char); |
1648 | scratch->rowidx = snewn(cr, unsigned char); |
1649 | scratch->colidx = snewn(cr, unsigned char); |
1650 | scratch->set = snewn(cr, unsigned char); |
fbd0fc79 |
1651 | scratch->neighbours = snewn(5*cr, int); |
44bf5f6f |
1652 | scratch->bfsqueue = snewn(cr*cr, int); |
1653 | #ifdef STANDALONE_SOLVER |
1654 | scratch->bfsprev = snewn(cr*cr, int); |
1655 | #endif |
fbd0fc79 |
1656 | scratch->indexlist = snewn(cr*cr, int); /* used for set elimination */ |
1657 | scratch->indexlist2 = snewn(cr, int); /* only used for intersect() */ |
ab53eb64 |
1658 | return scratch; |
1659 | } |
1660 | |
ab362080 |
1661 | static void solver_free_scratch(struct solver_scratch *scratch) |
ab53eb64 |
1662 | { |
44bf5f6f |
1663 | #ifdef STANDALONE_SOLVER |
1664 | sfree(scratch->bfsprev); |
1665 | #endif |
1666 | sfree(scratch->bfsqueue); |
1667 | sfree(scratch->neighbours); |
ab53eb64 |
1668 | sfree(scratch->set); |
1669 | sfree(scratch->colidx); |
1670 | sfree(scratch->rowidx); |
1671 | sfree(scratch->grid); |
fbd0fc79 |
1672 | sfree(scratch->indexlist); |
1673 | sfree(scratch->indexlist2); |
ab53eb64 |
1674 | sfree(scratch); |
1675 | } |
1676 | |
ad599e2b |
1677 | /* |
1678 | * Used for passing information about difficulty levels between the solver |
1679 | * and its callers. |
1680 | */ |
1681 | struct difficulty { |
1682 | /* Maximum levels allowed. */ |
1683 | int maxdiff, maxkdiff; |
1684 | /* Levels reached by the solver. */ |
1685 | int diff, kdiff; |
1686 | }; |
1687 | |
1688 | static void solver(int cr, struct block_structure *blocks, |
1689 | struct block_structure *kblocks, int xtype, |
1690 | digit *grid, digit *kgrid, struct difficulty *dlev) |
1d8e8ad8 |
1691 | { |
ab362080 |
1692 | struct solver_usage *usage; |
1693 | struct solver_scratch *scratch; |
fbd0fc79 |
1694 | int x, y, b, i, n, ret; |
7c568a48 |
1695 | int diff = DIFF_BLOCK; |
ad599e2b |
1696 | int kdiff = DIFF_KSINGLE; |
1d8e8ad8 |
1697 | |
1698 | /* |
1699 | * Set up a usage structure as a clean slate (everything |
1700 | * possible). |
1701 | */ |
ab362080 |
1702 | usage = snew(struct solver_usage); |
1d8e8ad8 |
1703 | usage->cr = cr; |
fbd0fc79 |
1704 | usage->blocks = blocks; |
ad599e2b |
1705 | if (kblocks) { |
1706 | usage->kblocks = dup_block_structure(kblocks); |
1707 | usage->extra_cages = alloc_block_structure (kblocks->c, kblocks->r, |
1708 | cr * cr, cr, cr * cr); |
1709 | usage->extra_clues = snewn(cr*cr, digit); |
1710 | } else { |
1711 | usage->kblocks = usage->extra_cages = NULL; |
1712 | usage->extra_clues = NULL; |
1713 | } |
1d8e8ad8 |
1714 | usage->cube = snewn(cr*cr*cr, unsigned char); |
1715 | usage->grid = grid; /* write straight back to the input */ |
ad599e2b |
1716 | if (kgrid) { |
9a6d429a |
1717 | int nclues; |
1718 | |
1719 | assert(kblocks); |
1720 | nclues = kblocks->nr_blocks; |
ad599e2b |
1721 | /* |
1722 | * Allow for expansion of the killer regions, the absolute |
1723 | * limit is obviously one region per square. |
1724 | */ |
1725 | usage->kclues = snewn(cr*cr, digit); |
1726 | for (i = 0; i < nclues; i++) { |
1727 | for (n = 0; n < kblocks->nr_squares[i]; n++) |
1728 | if (kgrid[kblocks->blocks[i][n]] != 0) |
1729 | usage->kclues[i] = kgrid[kblocks->blocks[i][n]]; |
1730 | assert(usage->kclues[i] > 0); |
1731 | } |
1732 | memset(usage->kclues + nclues, 0, cr*cr - nclues); |
1733 | } else { |
1734 | usage->kclues = NULL; |
1735 | } |
1736 | |
1d8e8ad8 |
1737 | memset(usage->cube, TRUE, cr*cr*cr); |
1738 | |
1739 | usage->row = snewn(cr * cr, unsigned char); |
1740 | usage->col = snewn(cr * cr, unsigned char); |
1741 | usage->blk = snewn(cr * cr, unsigned char); |
1742 | memset(usage->row, FALSE, cr * cr); |
1743 | memset(usage->col, FALSE, cr * cr); |
1744 | memset(usage->blk, FALSE, cr * cr); |
1745 | |
fbd0fc79 |
1746 | if (xtype) { |
1747 | usage->diag = snewn(cr * 2, unsigned char); |
1748 | memset(usage->diag, FALSE, cr * 2); |
1749 | } else |
1750 | usage->diag = NULL; |
1751 | |
ad599e2b |
1752 | usage->nr_regions = cr * 3 + (xtype ? 2 : 0); |
1753 | usage->regions = snewn(cr * usage->nr_regions, int); |
1754 | usage->sq2region = snewn(cr * cr * 3, int *); |
1755 | |
1756 | for (n = 0; n < cr; n++) { |
1757 | for (i = 0; i < cr; i++) { |
1758 | x = n*cr+i; |
1759 | y = i*cr+n; |
1760 | b = usage->blocks->blocks[n][i]; |
1761 | usage->regions[cr*n*3 + i] = x; |
1762 | usage->regions[cr*n*3 + cr + i] = y; |
1763 | usage->regions[cr*n*3 + 2*cr + i] = b; |
1764 | usage->sq2region[x*3] = usage->regions + cr*n*3; |
1765 | usage->sq2region[y*3 + 1] = usage->regions + cr*n*3 + cr; |
1766 | usage->sq2region[b*3 + 2] = usage->regions + cr*n*3 + 2*cr; |
1767 | } |
1768 | } |
1769 | |
ab362080 |
1770 | scratch = solver_new_scratch(usage); |
ab53eb64 |
1771 | |
1d8e8ad8 |
1772 | /* |
1773 | * Place all the clue numbers we are given. |
1774 | */ |
1775 | for (x = 0; x < cr; x++) |
1776 | for (y = 0; y < cr; y++) |
1777 | if (grid[y*cr+x]) |
fbd0fc79 |
1778 | solver_place(usage, x, y, grid[y*cr+x]); |
1d8e8ad8 |
1779 | |
1780 | /* |
1781 | * Now loop over the grid repeatedly trying all permitted modes |
1782 | * of reasoning. The loop terminates if we complete an |
1783 | * iteration without making any progress; we then return |
1784 | * failure or success depending on whether the grid is full or |
1785 | * not. |
1786 | */ |
1787 | while (1) { |
7c568a48 |
1788 | /* |
1789 | * I'd like to write `continue;' inside each of the |
1790 | * following loops, so that the solver returns here after |
1791 | * making some progress. However, I can't specify that I |
1792 | * want to continue an outer loop rather than the innermost |
1793 | * one, so I'm apologetically resorting to a goto. |
1794 | */ |
3ddae0ff |
1795 | cont: |
1796 | |
1d8e8ad8 |
1797 | /* |
1798 | * Blockwise positional elimination. |
1799 | */ |
fbd0fc79 |
1800 | for (b = 0; b < cr; b++) |
1801 | for (n = 1; n <= cr; n++) |
1802 | if (!usage->blk[b*cr+n-1]) { |
1803 | for (i = 0; i < cr; i++) |
1804 | scratch->indexlist[i] = cubepos2(usage->blocks->blocks[b][i],n); |
1805 | ret = solver_elim(usage, scratch->indexlist |
7c568a48 |
1806 | #ifdef STANDALONE_SOLVER |
fbd0fc79 |
1807 | , "positional elimination," |
1808 | " %d in block %s", n, |
1809 | usage->blocks->blocknames[b] |
7c568a48 |
1810 | #endif |
fbd0fc79 |
1811 | ); |
1812 | if (ret < 0) { |
1813 | diff = DIFF_IMPOSSIBLE; |
1814 | goto got_result; |
1815 | } else if (ret > 0) { |
1816 | diff = max(diff, DIFF_BLOCK); |
1817 | goto cont; |
1818 | } |
1819 | } |
1d8e8ad8 |
1820 | |
ad599e2b |
1821 | if (usage->kclues != NULL) { |
1822 | int changed = FALSE; |
1823 | |
1824 | /* |
1825 | * First, bring the kblocks into a more useful form: remove |
1826 | * all filled-in squares, and reduce the sum by their values. |
1827 | * Walk in reverse order, since otherwise remove_from_block |
1828 | * can move element past our loop counter. |
1829 | */ |
1830 | for (b = 0; b < usage->kblocks->nr_blocks; b++) |
1831 | for (i = usage->kblocks->nr_squares[b] -1; i >= 0; i--) { |
1832 | int x = usage->kblocks->blocks[b][i]; |
1833 | int t = usage->grid[x]; |
1834 | |
1835 | if (t == 0) |
1836 | continue; |
1837 | remove_from_block(usage->kblocks, b, x); |
1838 | if (t > usage->kclues[b]) { |
1839 | diff = DIFF_IMPOSSIBLE; |
1840 | goto got_result; |
1841 | } |
1842 | usage->kclues[b] -= t; |
1843 | /* |
1844 | * Since cages are regions, this tells us something |
1845 | * about the other squares in the cage. |
1846 | */ |
1847 | for (n = 0; n < usage->kblocks->nr_squares[b]; n++) { |
1848 | cube2(usage->kblocks->blocks[b][n], t) = FALSE; |
1849 | } |
1850 | } |
1851 | |
1852 | /* |
1853 | * The most trivial kind of solver for killer puzzles: fill |
1854 | * single-square cages. |
1855 | */ |
1856 | for (b = 0; b < usage->kblocks->nr_blocks; b++) { |
1857 | int squares = usage->kblocks->nr_squares[b]; |
1858 | if (squares == 1) { |
1859 | int v = usage->kclues[b]; |
1860 | if (v < 1 || v > cr) { |
1861 | diff = DIFF_IMPOSSIBLE; |
1862 | goto got_result; |
1863 | } |
1864 | x = usage->kblocks->blocks[b][0] % cr; |
1865 | y = usage->kblocks->blocks[b][0] / cr; |
1866 | if (!cube(x, y, v)) { |
1867 | diff = DIFF_IMPOSSIBLE; |
1868 | goto got_result; |
1869 | } |
1870 | solver_place(usage, x, y, v); |
1871 | |
1872 | #ifdef STANDALONE_SOLVER |
1873 | if (solver_show_working) { |
1874 | printf("%*s placing %d at (%d,%d)\n", |
1875 | solver_recurse_depth*4, "killer single-square cage", |
1876 | v, 1 + x%cr, 1 + x/cr); |
1877 | } |
1878 | #endif |
1879 | changed = TRUE; |
1880 | } |
1881 | } |
1882 | |
1883 | if (changed) { |
1884 | kdiff = max(kdiff, DIFF_KSINGLE); |
1885 | goto cont; |
1886 | } |
1887 | } |
1888 | if (dlev->maxkdiff >= DIFF_KINTERSECT && usage->kclues != NULL) { |
1889 | int changed = FALSE; |
1890 | /* |
1891 | * Now, create the extra_cages information. Every full region |
1892 | * (row, column, or block) has the same sum total (45 for 3x3 |
1893 | * puzzles. After we try to cover these regions with cages that |
1894 | * lie entirely within them, any squares that remain must bring |
1895 | * the total to this known value, and so they form additional |
1896 | * cages which aren't immediately evident in the displayed form |
1897 | * of the puzzle. |
1898 | */ |
1899 | usage->extra_cages->nr_blocks = 0; |
1900 | for (i = 0; i < 3; i++) { |
1901 | for (n = 0; n < cr; n++) { |
1902 | int *region = usage->regions + cr*n*3 + i*cr; |
1903 | int sum = cr * (cr + 1) / 2; |
1904 | int nsquares = cr; |
1905 | int filtered; |
1906 | int n_extra = usage->extra_cages->nr_blocks; |
1907 | int *extra_list = usage->extra_cages->blocks[n_extra]; |
1908 | memcpy(extra_list, region, cr * sizeof *extra_list); |
1909 | |
1910 | nsquares = filter_whole_cages(usage, extra_list, nsquares, &filtered); |
1911 | sum -= filtered; |
1912 | if (nsquares == cr || nsquares == 0) |
1913 | continue; |
1914 | if (dlev->maxdiff >= DIFF_RECURSIVE) { |
1915 | if (sum <= 0) { |
1916 | dlev->diff = DIFF_IMPOSSIBLE; |
1917 | goto got_result; |
1918 | } |
1919 | } |
1920 | assert(sum > 0); |
1921 | |
1922 | if (nsquares == 1) { |
1923 | if (sum > cr) { |
1924 | diff = DIFF_IMPOSSIBLE; |
1925 | goto got_result; |
1926 | } |
1927 | x = extra_list[0] % cr; |
1928 | y = extra_list[0] / cr; |
1929 | if (!cube(x, y, sum)) { |
1930 | diff = DIFF_IMPOSSIBLE; |
1931 | goto got_result; |
1932 | } |
1933 | solver_place(usage, x, y, sum); |
1934 | changed = TRUE; |
1935 | #ifdef STANDALONE_SOLVER |
1936 | if (solver_show_working) { |
1937 | printf("%*s placing %d at (%d,%d)\n", |
1938 | solver_recurse_depth*4, "killer single-square deduced cage", |
1939 | sum, 1 + x, 1 + y); |
1940 | } |
1941 | #endif |
1942 | } |
1943 | |
1944 | b = usage->kblocks->whichblock[extra_list[0]]; |
1945 | for (x = 1; x < nsquares; x++) |
1946 | if (usage->kblocks->whichblock[extra_list[x]] != b) |
1947 | break; |
1948 | if (x == nsquares) { |
1949 | assert(usage->kblocks->nr_squares[b] > nsquares); |
1950 | split_block(usage->kblocks, extra_list, nsquares); |
1951 | assert(usage->kblocks->nr_squares[usage->kblocks->nr_blocks - 1] == nsquares); |
1952 | usage->kclues[usage->kblocks->nr_blocks - 1] = sum; |
1953 | usage->kclues[b] -= sum; |
1954 | } else { |
1955 | usage->extra_cages->nr_squares[n_extra] = nsquares; |
1956 | usage->extra_cages->nr_blocks++; |
1957 | usage->extra_clues[n_extra] = sum; |
1958 | } |
1959 | } |
1960 | } |
1961 | if (changed) { |
1962 | kdiff = max(kdiff, DIFF_KINTERSECT); |
1963 | goto cont; |
1964 | } |
1965 | } |
1966 | |
1967 | /* |
1968 | * Another simple killer-type elimination. For every square in a |
1969 | * cage, find the minimum and maximum possible sums of all the |
1970 | * other squares in the same cage, and rule out possibilities |
1971 | * for the given square based on whether they are guaranteed to |
1972 | * cause the sum to be either too high or too low. |
1973 | * This is a special case of trying all possible sums across a |
1974 | * region, which is a recursive algorithm. We should probably |
1975 | * implement it for a higher difficulty level. |
1976 | */ |
1977 | if (dlev->maxkdiff >= DIFF_KMINMAX && usage->kclues != NULL) { |
1978 | int changed = FALSE; |
1979 | for (b = 0; b < usage->kblocks->nr_blocks; b++) { |
1980 | int ret = solver_killer_minmax(usage, usage->kblocks, |
1981 | usage->kclues, b |
1982 | #ifdef STANDALONE_SOLVER |
1983 | , "" |
1984 | #endif |
1985 | ); |
1986 | if (ret < 0) { |
1987 | diff = DIFF_IMPOSSIBLE; |
1988 | goto got_result; |
1989 | } else if (ret > 0) |
1990 | changed = TRUE; |
1991 | } |
1992 | for (b = 0; b < usage->extra_cages->nr_blocks; b++) { |
1993 | int ret = solver_killer_minmax(usage, usage->extra_cages, |
1994 | usage->extra_clues, b |
1995 | #ifdef STANDALONE_SOLVER |
1996 | , "using deduced cages" |
1997 | #endif |
1998 | ); |
1999 | if (ret < 0) { |
2000 | diff = DIFF_IMPOSSIBLE; |
2001 | goto got_result; |
2002 | } else if (ret > 0) |
2003 | changed = TRUE; |
2004 | } |
2005 | if (changed) { |
2006 | kdiff = max(kdiff, DIFF_KMINMAX); |
2007 | goto cont; |
2008 | } |
2009 | } |
2010 | |
2011 | /* |
2012 | * Try to use knowledge of which numbers can be used to generate |
2013 | * a given sum. |
2014 | * This can only be used if a cage lies entirely within a region. |
2015 | */ |
2016 | if (dlev->maxkdiff >= DIFF_KSUMS && usage->kclues != NULL) { |
2017 | int changed = FALSE; |
2018 | |
2019 | for (b = 0; b < usage->kblocks->nr_blocks; b++) { |
2020 | int ret = solver_killer_sums(usage, b, usage->kblocks, |
2021 | usage->kclues[b], TRUE |
2022 | #ifdef STANDALONE_SOLVER |
2023 | , "regular clues" |
2024 | #endif |
2025 | ); |
2026 | if (ret > 0) { |
2027 | changed = TRUE; |
2028 | kdiff = max(kdiff, DIFF_KSUMS); |
2029 | } else if (ret < 0) { |
2030 | diff = DIFF_IMPOSSIBLE; |
2031 | goto got_result; |
2032 | } |
2033 | } |
2034 | |
2035 | for (b = 0; b < usage->extra_cages->nr_blocks; b++) { |
2036 | int ret = solver_killer_sums(usage, b, usage->extra_cages, |
2037 | usage->extra_clues[b], FALSE |
2038 | #ifdef STANDALONE_SOLVER |
2039 | , "deduced clues" |
2040 | #endif |
2041 | ); |
2042 | if (ret > 0) { |
2043 | changed = TRUE; |
bc8c31f9 |
2044 | kdiff = max(kdiff, DIFF_KSUMS); |
ad599e2b |
2045 | } else if (ret < 0) { |
2046 | diff = DIFF_IMPOSSIBLE; |
2047 | goto got_result; |
2048 | } |
2049 | } |
2050 | |
2051 | if (changed) |
2052 | goto cont; |
2053 | } |
2054 | |
2055 | if (dlev->maxdiff <= DIFF_BLOCK) |
ab362080 |
2056 | break; |
2057 | |
1d8e8ad8 |
2058 | /* |
2059 | * Row-wise positional elimination. |
2060 | */ |
2061 | for (y = 0; y < cr; y++) |
2062 | for (n = 1; n <= cr; n++) |
ab362080 |
2063 | if (!usage->row[y*cr+n-1]) { |
fbd0fc79 |
2064 | for (x = 0; x < cr; x++) |
2065 | scratch->indexlist[x] = cubepos(x, y, n); |
2066 | ret = solver_elim(usage, scratch->indexlist |
7c568a48 |
2067 | #ifdef STANDALONE_SOLVER |
ab362080 |
2068 | , "positional elimination," |
fbd0fc79 |
2069 | " %d in row %d", n, 1+y |
7c568a48 |
2070 | #endif |
ab362080 |
2071 | ); |
2072 | if (ret < 0) { |
2073 | diff = DIFF_IMPOSSIBLE; |
2074 | goto got_result; |
2075 | } else if (ret > 0) { |
2076 | diff = max(diff, DIFF_SIMPLE); |
2077 | goto cont; |
2078 | } |
7c568a48 |
2079 | } |
1d8e8ad8 |
2080 | /* |
2081 | * Column-wise positional elimination. |
2082 | */ |
2083 | for (x = 0; x < cr; x++) |
2084 | for (n = 1; n <= cr; n++) |
ab362080 |
2085 | if (!usage->col[x*cr+n-1]) { |
fbd0fc79 |
2086 | for (y = 0; y < cr; y++) |
2087 | scratch->indexlist[y] = cubepos(x, y, n); |
2088 | ret = solver_elim(usage, scratch->indexlist |
7c568a48 |
2089 | #ifdef STANDALONE_SOLVER |
ab362080 |
2090 | , "positional elimination," |
2091 | " %d in column %d", n, 1+x |
7c568a48 |
2092 | #endif |
ab362080 |
2093 | ); |
2094 | if (ret < 0) { |
2095 | diff = DIFF_IMPOSSIBLE; |
2096 | goto got_result; |
2097 | } else if (ret > 0) { |
2098 | diff = max(diff, DIFF_SIMPLE); |
2099 | goto cont; |
2100 | } |
7c568a48 |
2101 | } |
1d8e8ad8 |
2102 | |
2103 | /* |
fbd0fc79 |
2104 | * X-diagonal positional elimination. |
2105 | */ |
2106 | if (usage->diag) { |
2107 | for (n = 1; n <= cr; n++) |
2108 | if (!usage->diag[n-1]) { |
2109 | for (i = 0; i < cr; i++) |
2110 | scratch->indexlist[i] = cubepos2(diag0(i), n); |
2111 | ret = solver_elim(usage, scratch->indexlist |
2112 | #ifdef STANDALONE_SOLVER |
2113 | , "positional elimination," |
2114 | " %d in \\-diagonal", n |
2115 | #endif |
2116 | ); |
2117 | if (ret < 0) { |
2118 | diff = DIFF_IMPOSSIBLE; |
2119 | goto got_result; |
2120 | } else if (ret > 0) { |
2121 | diff = max(diff, DIFF_SIMPLE); |
2122 | goto cont; |
2123 | } |
2124 | } |
2125 | for (n = 1; n <= cr; n++) |
2126 | if (!usage->diag[cr+n-1]) { |
2127 | for (i = 0; i < cr; i++) |
2128 | scratch->indexlist[i] = cubepos2(diag1(i), n); |
2129 | ret = solver_elim(usage, scratch->indexlist |
2130 | #ifdef STANDALONE_SOLVER |
2131 | , "positional elimination," |
2132 | " %d in /-diagonal", n |
2133 | #endif |
2134 | ); |
2135 | if (ret < 0) { |
2136 | diff = DIFF_IMPOSSIBLE; |
2137 | goto got_result; |
2138 | } else if (ret > 0) { |
2139 | diff = max(diff, DIFF_SIMPLE); |
2140 | goto cont; |
2141 | } |
2142 | } |
2143 | } |
2144 | |
2145 | /* |
1d8e8ad8 |
2146 | * Numeric elimination. |
2147 | */ |
2148 | for (x = 0; x < cr; x++) |
2149 | for (y = 0; y < cr; y++) |
fbd0fc79 |
2150 | if (!usage->grid[y*cr+x]) { |
2151 | for (n = 1; n <= cr; n++) |
2152 | scratch->indexlist[n-1] = cubepos(x, y, n); |
2153 | ret = solver_elim(usage, scratch->indexlist |
7c568a48 |
2154 | #ifdef STANDALONE_SOLVER |
fbd0fc79 |
2155 | , "numeric elimination at (%d,%d)", |
2156 | 1+x, 1+y |
7c568a48 |
2157 | #endif |
ab362080 |
2158 | ); |
2159 | if (ret < 0) { |
2160 | diff = DIFF_IMPOSSIBLE; |
2161 | goto got_result; |
2162 | } else if (ret > 0) { |
2163 | diff = max(diff, DIFF_SIMPLE); |
2164 | goto cont; |
2165 | } |
7c568a48 |
2166 | } |
2167 | |
ad599e2b |
2168 | if (dlev->maxdiff <= DIFF_SIMPLE) |
ab362080 |
2169 | break; |
2170 | |
7c568a48 |
2171 | /* |
2172 | * Intersectional analysis, rows vs blocks. |
2173 | */ |
2174 | for (y = 0; y < cr; y++) |
fbd0fc79 |
2175 | for (b = 0; b < cr; b++) |
2176 | for (n = 1; n <= cr; n++) { |
2177 | if (usage->row[y*cr+n-1] || |
2178 | usage->blk[b*cr+n-1]) |
2179 | continue; |
2180 | for (i = 0; i < cr; i++) { |
2181 | scratch->indexlist[i] = cubepos(i, y, n); |
2182 | scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
2183 | } |
ab362080 |
2184 | /* |
2185 | * solver_intersect() never returns -1. |
2186 | */ |
fbd0fc79 |
2187 | if (solver_intersect(usage, scratch->indexlist, |
2188 | scratch->indexlist2 |
7c568a48 |
2189 | #ifdef STANDALONE_SOLVER |
2190 | , "intersectional analysis," |
fbd0fc79 |
2191 | " %d in row %d vs block %s", |
2192 | n, 1+y, usage->blocks->blocknames[b] |
7c568a48 |
2193 | #endif |
2194 | ) || |
fbd0fc79 |
2195 | solver_intersect(usage, scratch->indexlist2, |
2196 | scratch->indexlist |
7c568a48 |
2197 | #ifdef STANDALONE_SOLVER |
2198 | , "intersectional analysis," |
fbd0fc79 |
2199 | " %d in block %s vs row %d", |
2200 | n, usage->blocks->blocknames[b], 1+y |
7c568a48 |
2201 | #endif |
fbd0fc79 |
2202 | )) { |
7c568a48 |
2203 | diff = max(diff, DIFF_INTERSECT); |
2204 | goto cont; |
2205 | } |
fbd0fc79 |
2206 | } |
7c568a48 |
2207 | |
2208 | /* |
2209 | * Intersectional analysis, columns vs blocks. |
2210 | */ |
2211 | for (x = 0; x < cr; x++) |
fbd0fc79 |
2212 | for (b = 0; b < cr; b++) |
2213 | for (n = 1; n <= cr; n++) { |
2214 | if (usage->col[x*cr+n-1] || |
2215 | usage->blk[b*cr+n-1]) |
2216 | continue; |
2217 | for (i = 0; i < cr; i++) { |
2218 | scratch->indexlist[i] = cubepos(x, i, n); |
2219 | scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
2220 | } |
2221 | if (solver_intersect(usage, scratch->indexlist, |
2222 | scratch->indexlist2 |
2223 | #ifdef STANDALONE_SOLVER |
2224 | , "intersectional analysis," |
2225 | " %d in column %d vs block %s", |
2226 | n, 1+x, usage->blocks->blocknames[b] |
2227 | #endif |
2228 | ) || |
2229 | solver_intersect(usage, scratch->indexlist2, |
2230 | scratch->indexlist |
2231 | #ifdef STANDALONE_SOLVER |
2232 | , "intersectional analysis," |
2233 | " %d in block %s vs column %d", |
2234 | n, usage->blocks->blocknames[b], 1+x |
2235 | #endif |
2236 | )) { |
2237 | diff = max(diff, DIFF_INTERSECT); |
2238 | goto cont; |
2239 | } |
2240 | } |
2241 | |
2242 | if (usage->diag) { |
2243 | /* |
2244 | * Intersectional analysis, \-diagonal vs blocks. |
2245 | */ |
2246 | for (b = 0; b < cr; b++) |
2247 | for (n = 1; n <= cr; n++) { |
2248 | if (usage->diag[n-1] || |
2249 | usage->blk[b*cr+n-1]) |
2250 | continue; |
2251 | for (i = 0; i < cr; i++) { |
2252 | scratch->indexlist[i] = cubepos2(diag0(i), n); |
2253 | scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
2254 | } |
2255 | if (solver_intersect(usage, scratch->indexlist, |
2256 | scratch->indexlist2 |
2257 | #ifdef STANDALONE_SOLVER |
2258 | , "intersectional analysis," |
2259 | " %d in \\-diagonal vs block %s", |
4d75528b |
2260 | n, usage->blocks->blocknames[b] |
fbd0fc79 |
2261 | #endif |
2262 | ) || |
2263 | solver_intersect(usage, scratch->indexlist2, |
2264 | scratch->indexlist |
2265 | #ifdef STANDALONE_SOLVER |
2266 | , "intersectional analysis," |
2267 | " %d in block %s vs \\-diagonal", |
4d75528b |
2268 | n, usage->blocks->blocknames[b] |
fbd0fc79 |
2269 | #endif |
2270 | )) { |
2271 | diff = max(diff, DIFF_INTERSECT); |
2272 | goto cont; |
2273 | } |
2274 | } |
2275 | |
2276 | /* |
2277 | * Intersectional analysis, /-diagonal vs blocks. |
2278 | */ |
2279 | for (b = 0; b < cr; b++) |
2280 | for (n = 1; n <= cr; n++) { |
2281 | if (usage->diag[cr+n-1] || |
2282 | usage->blk[b*cr+n-1]) |
2283 | continue; |
2284 | for (i = 0; i < cr; i++) { |
2285 | scratch->indexlist[i] = cubepos2(diag1(i), n); |
2286 | scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
2287 | } |
2288 | if (solver_intersect(usage, scratch->indexlist, |
2289 | scratch->indexlist2 |
7c568a48 |
2290 | #ifdef STANDALONE_SOLVER |
2291 | , "intersectional analysis," |
fbd0fc79 |
2292 | " %d in /-diagonal vs block %s", |
4d75528b |
2293 | n, usage->blocks->blocknames[b] |
7c568a48 |
2294 | #endif |
2295 | ) || |
fbd0fc79 |
2296 | solver_intersect(usage, scratch->indexlist2, |
2297 | scratch->indexlist |
7c568a48 |
2298 | #ifdef STANDALONE_SOLVER |
2299 | , "intersectional analysis," |
fbd0fc79 |
2300 | " %d in block %s vs /-diagonal", |
4d75528b |
2301 | n, usage->blocks->blocknames[b] |
7c568a48 |
2302 | #endif |
fbd0fc79 |
2303 | )) { |
7c568a48 |
2304 | diff = max(diff, DIFF_INTERSECT); |
2305 | goto cont; |
2306 | } |
fbd0fc79 |
2307 | } |
2308 | } |
7c568a48 |
2309 | |
ad599e2b |
2310 | if (dlev->maxdiff <= DIFF_INTERSECT) |
ab362080 |
2311 | break; |
2312 | |
7c568a48 |
2313 | /* |
2314 | * Blockwise set elimination. |
2315 | */ |
fbd0fc79 |
2316 | for (b = 0; b < cr; b++) { |
2317 | for (i = 0; i < cr; i++) |
2318 | for (n = 1; n <= cr; n++) |
2319 | scratch->indexlist[i*cr+n-1] = cubepos2(usage->blocks->blocks[b][i], n); |
2320 | ret = solver_set(usage, scratch, scratch->indexlist |
7c568a48 |
2321 | #ifdef STANDALONE_SOLVER |
fbd0fc79 |
2322 | , "set elimination, block %s", |
2323 | usage->blocks->blocknames[b] |
7c568a48 |
2324 | #endif |
ab362080 |
2325 | ); |
fbd0fc79 |
2326 | if (ret < 0) { |
2327 | diff = DIFF_IMPOSSIBLE; |
2328 | goto got_result; |
2329 | } else if (ret > 0) { |
2330 | diff = max(diff, DIFF_SET); |
2331 | goto cont; |
ab362080 |
2332 | } |
fbd0fc79 |
2333 | } |
7c568a48 |
2334 | |
2335 | /* |
2336 | * Row-wise set elimination. |
2337 | */ |
ab362080 |
2338 | for (y = 0; y < cr; y++) { |
fbd0fc79 |
2339 | for (x = 0; x < cr; x++) |
2340 | for (n = 1; n <= cr; n++) |
2341 | scratch->indexlist[x*cr+n-1] = cubepos(x, y, n); |
2342 | ret = solver_set(usage, scratch, scratch->indexlist |
7c568a48 |
2343 | #ifdef STANDALONE_SOLVER |
fbd0fc79 |
2344 | , "set elimination, row %d", 1+y |
7c568a48 |
2345 | #endif |
ab362080 |
2346 | ); |
2347 | if (ret < 0) { |
2348 | diff = DIFF_IMPOSSIBLE; |
2349 | goto got_result; |
2350 | } else if (ret > 0) { |
2351 | diff = max(diff, DIFF_SET); |
2352 | goto cont; |
2353 | } |
2354 | } |
7c568a48 |
2355 | |
2356 | /* |
2357 | * Column-wise set elimination. |
2358 | */ |
ab362080 |
2359 | for (x = 0; x < cr; x++) { |
fbd0fc79 |
2360 | for (y = 0; y < cr; y++) |
2361 | for (n = 1; n <= cr; n++) |
2362 | scratch->indexlist[y*cr+n-1] = cubepos(x, y, n); |
2363 | ret = solver_set(usage, scratch, scratch->indexlist |
7c568a48 |
2364 | #ifdef STANDALONE_SOLVER |
ab362080 |
2365 | , "set elimination, column %d", 1+x |
7c568a48 |
2366 | #endif |
ab362080 |
2367 | ); |
2368 | if (ret < 0) { |
2369 | diff = DIFF_IMPOSSIBLE; |
2370 | goto got_result; |
2371 | } else if (ret > 0) { |
2372 | diff = max(diff, DIFF_SET); |
2373 | goto cont; |
2374 | } |
2375 | } |
1d8e8ad8 |
2376 | |
fbd0fc79 |
2377 | if (usage->diag) { |
2378 | /* |
2379 | * \-diagonal set elimination. |
2380 | */ |
2381 | for (i = 0; i < cr; i++) |
2382 | for (n = 1; n <= cr; n++) |
2383 | scratch->indexlist[i*cr+n-1] = cubepos2(diag0(i), n); |
2384 | ret = solver_set(usage, scratch, scratch->indexlist |
2385 | #ifdef STANDALONE_SOLVER |
2386 | , "set elimination, \\-diagonal" |
2387 | #endif |
2388 | ); |
2389 | if (ret < 0) { |
2390 | diff = DIFF_IMPOSSIBLE; |
2391 | goto got_result; |
2392 | } else if (ret > 0) { |
2393 | diff = max(diff, DIFF_SET); |
2394 | goto cont; |
2395 | } |
2396 | |
2397 | /* |
2398 | * /-diagonal set elimination. |
2399 | */ |
2400 | for (i = 0; i < cr; i++) |
2401 | for (n = 1; n <= cr; n++) |
2402 | scratch->indexlist[i*cr+n-1] = cubepos2(diag1(i), n); |
2403 | ret = solver_set(usage, scratch, scratch->indexlist |
2404 | #ifdef STANDALONE_SOLVER |
9003c6f7 |
2405 | , "set elimination, /-diagonal" |
fbd0fc79 |
2406 | #endif |
2407 | ); |
2408 | if (ret < 0) { |
2409 | diff = DIFF_IMPOSSIBLE; |
2410 | goto got_result; |
2411 | } else if (ret > 0) { |
2412 | diff = max(diff, DIFF_SET); |
2413 | goto cont; |
2414 | } |
2415 | } |
2416 | |
ad599e2b |
2417 | if (dlev->maxdiff <= DIFF_SET) |
fbd0fc79 |
2418 | break; |
2419 | |
1d8e8ad8 |
2420 | /* |
44bf5f6f |
2421 | * Row-vs-column set elimination on a single number. |
2422 | */ |
2423 | for (n = 1; n <= cr; n++) { |
fbd0fc79 |
2424 | for (y = 0; y < cr; y++) |
2425 | for (x = 0; x < cr; x++) |
2426 | scratch->indexlist[y*cr+x] = cubepos(x, y, n); |
2427 | ret = solver_set(usage, scratch, scratch->indexlist |
44bf5f6f |
2428 | #ifdef STANDALONE_SOLVER |
2429 | , "positional set elimination, number %d", n |
2430 | #endif |
2431 | ); |
2432 | if (ret < 0) { |
2433 | diff = DIFF_IMPOSSIBLE; |
2434 | goto got_result; |
2435 | } else if (ret > 0) { |
2436 | diff = max(diff, DIFF_EXTREME); |
2437 | goto cont; |
2438 | } |
2439 | } |
2440 | |
44bf5f6f |
2441 | /* |
2442 | * Forcing chains. |
2443 | */ |
2444 | if (solver_forcing(usage, scratch)) { |
2445 | diff = max(diff, DIFF_EXTREME); |
2446 | goto cont; |
2447 | } |
2448 | |
13c4d60d |
2449 | /* |
1d8e8ad8 |
2450 | * If we reach here, we have made no deductions in this |
2451 | * iteration, so the algorithm terminates. |
2452 | */ |
2453 | break; |
2454 | } |
2455 | |
ab362080 |
2456 | /* |
2457 | * Last chance: if we haven't fully solved the puzzle yet, try |
2458 | * recursing based on guesses for a particular square. We pick |
2459 | * one of the most constrained empty squares we can find, which |
2460 | * has the effect of pruning the search tree as much as |
2461 | * possible. |
2462 | */ |
ad599e2b |
2463 | if (dlev->maxdiff >= DIFF_RECURSIVE) { |
947a07d6 |
2464 | int best, bestcount; |
ab362080 |
2465 | |
2466 | best = -1; |
2467 | bestcount = cr+1; |
ab362080 |
2468 | |
2469 | for (y = 0; y < cr; y++) |
2470 | for (x = 0; x < cr; x++) |
2471 | if (!grid[y*cr+x]) { |
2472 | int count; |
2473 | |
2474 | /* |
2475 | * An unfilled square. Count the number of |
2476 | * possible digits in it. |
2477 | */ |
2478 | count = 0; |
2479 | for (n = 1; n <= cr; n++) |
fbd0fc79 |
2480 | if (cube(x,y,n)) |
ab362080 |
2481 | count++; |
2482 | |
2483 | /* |
2484 | * We should have found any impossibilities |
2485 | * already, so this can safely be an assert. |
2486 | */ |
2487 | assert(count > 1); |
2488 | |
2489 | if (count < bestcount) { |
2490 | bestcount = count; |
947a07d6 |
2491 | best = y*cr+x; |
ab362080 |
2492 | } |
2493 | } |
2494 | |
2495 | if (best != -1) { |
2496 | int i, j; |
2497 | digit *list, *ingrid, *outgrid; |
2498 | |
2499 | diff = DIFF_IMPOSSIBLE; /* no solution found yet */ |
2500 | |
2501 | /* |
2502 | * Attempt recursion. |
2503 | */ |
2504 | y = best / cr; |
2505 | x = best % cr; |
2506 | |
2507 | list = snewn(cr, digit); |
2508 | ingrid = snewn(cr * cr, digit); |
2509 | outgrid = snewn(cr * cr, digit); |
2510 | memcpy(ingrid, grid, cr * cr); |
2511 | |
2512 | /* Make a list of the possible digits. */ |
2513 | for (j = 0, n = 1; n <= cr; n++) |
fbd0fc79 |
2514 | if (cube(x,y,n)) |
ab362080 |
2515 | list[j++] = n; |
2516 | |
2517 | #ifdef STANDALONE_SOLVER |
2518 | if (solver_show_working) { |
2519 | char *sep = ""; |
2520 | printf("%*srecursing on (%d,%d) [", |
49d4feb5 |
2521 | solver_recurse_depth*4, "", x + 1, y + 1); |
ab362080 |
2522 | for (i = 0; i < j; i++) { |
2523 | printf("%s%d", sep, list[i]); |
2524 | sep = " or "; |
2525 | } |
2526 | printf("]\n"); |
2527 | } |
2528 | #endif |
2529 | |
ab362080 |
2530 | /* |
2531 | * And step along the list, recursing back into the |
2532 | * main solver at every stage. |
2533 | */ |
2534 | for (i = 0; i < j; i++) { |
ab362080 |
2535 | memcpy(outgrid, ingrid, cr * cr); |
2536 | outgrid[y*cr+x] = list[i]; |
2537 | |
2538 | #ifdef STANDALONE_SOLVER |
2539 | if (solver_show_working) |
2540 | printf("%*sguessing %d at (%d,%d)\n", |
49d4feb5 |
2541 | solver_recurse_depth*4, "", list[i], x + 1, y + 1); |
ab362080 |
2542 | solver_recurse_depth++; |
2543 | #endif |
2544 | |
ad599e2b |
2545 | solver(cr, blocks, kblocks, xtype, outgrid, kgrid, dlev); |
ab362080 |
2546 | |
2547 | #ifdef STANDALONE_SOLVER |
2548 | solver_recurse_depth--; |
2549 | if (solver_show_working) { |
2550 | printf("%*sretracting %d at (%d,%d)\n", |
49d4feb5 |
2551 | solver_recurse_depth*4, "", list[i], x + 1, y + 1); |
ab362080 |
2552 | } |
2553 | #endif |
2554 | |
2555 | /* |
2556 | * If we have our first solution, copy it into the |
2557 | * grid we will return. |
2558 | */ |
ad599e2b |
2559 | if (diff == DIFF_IMPOSSIBLE && dlev->diff != DIFF_IMPOSSIBLE) |
ab362080 |
2560 | memcpy(grid, outgrid, cr*cr); |
2561 | |
ad599e2b |
2562 | if (dlev->diff == DIFF_AMBIGUOUS) |
ab362080 |
2563 | diff = DIFF_AMBIGUOUS; |
ad599e2b |
2564 | else if (dlev->diff == DIFF_IMPOSSIBLE) |
ab362080 |
2565 | /* do not change our return value */; |
2566 | else { |
2567 | /* the recursion turned up exactly one solution */ |
2568 | if (diff == DIFF_IMPOSSIBLE) |
2569 | diff = DIFF_RECURSIVE; |
2570 | else |
2571 | diff = DIFF_AMBIGUOUS; |
2572 | } |
2573 | |
2574 | /* |
2575 | * As soon as we've found more than one solution, |
2576 | * give up immediately. |
2577 | */ |
2578 | if (diff == DIFF_AMBIGUOUS) |
2579 | break; |
2580 | } |
2581 | |
2582 | sfree(outgrid); |
2583 | sfree(ingrid); |
2584 | sfree(list); |
2585 | } |
2586 | |
2587 | } else { |
2588 | /* |
2589 | * We're forbidden to use recursion, so we just see whether |
2590 | * our grid is fully solved, and return DIFF_IMPOSSIBLE |
2591 | * otherwise. |
2592 | */ |
2593 | for (y = 0; y < cr; y++) |
2594 | for (x = 0; x < cr; x++) |
2595 | if (!grid[y*cr+x]) |
2596 | diff = DIFF_IMPOSSIBLE; |
2597 | } |
2598 | |
ad599e2b |
2599 | got_result: |
2600 | dlev->diff = diff; |
2601 | dlev->kdiff = kdiff; |
ab362080 |
2602 | |
2603 | #ifdef STANDALONE_SOLVER |
2604 | if (solver_show_working) |
2605 | printf("%*s%s found\n", |
2606 | solver_recurse_depth*4, "", |
2607 | diff == DIFF_IMPOSSIBLE ? "no solution" : |
2608 | diff == DIFF_AMBIGUOUS ? "multiple solutions" : |
2609 | "one solution"); |
2610 | #endif |
ab53eb64 |
2611 | |
9a6d429a |
2612 | sfree(usage->sq2region); |
2613 | sfree(usage->regions); |
1d8e8ad8 |
2614 | sfree(usage->cube); |
2615 | sfree(usage->row); |
2616 | sfree(usage->col); |
2617 | sfree(usage->blk); |
ad599e2b |
2618 | if (usage->kblocks) { |
2619 | free_block_structure(usage->kblocks); |
2620 | free_block_structure(usage->extra_cages); |
2621 | sfree(usage->extra_clues); |
2622 | } |
9a6d429a |
2623 | if (usage->kclues) sfree(usage->kclues); |
1d8e8ad8 |
2624 | sfree(usage); |
2625 | |
ab362080 |
2626 | solver_free_scratch(scratch); |
1d8e8ad8 |
2627 | } |
2628 | |
2629 | /* ---------------------------------------------------------------------- |
ab362080 |
2630 | * End of solver code. |
2631 | */ |
2632 | |
2633 | /* ---------------------------------------------------------------------- |
ad599e2b |
2634 | * Killer set generator. |
2635 | */ |
2636 | |
2637 | /* ---------------------------------------------------------------------- |
2638 | * Solo filled-grid generator. |
ab362080 |
2639 | * |
2640 | * This grid generator works by essentially trying to solve a grid |
2641 | * starting from no clues, and not worrying that there's more than |
2642 | * one possible solution. Unfortunately, it isn't computationally |
2643 | * feasible to do this by calling the above solver with an empty |
2644 | * grid, because that one needs to allocate a lot of scratch space |
2645 | * at every recursion level. Instead, I have a much simpler |
2646 | * algorithm which I shamelessly copied from a Python solver |
2647 | * written by Andrew Wilkinson (which is GPLed, but I've reused |
2648 | * only ideas and no code). It mostly just does the obvious |
2649 | * recursive thing: pick an empty square, put one of the possible |
2650 | * digits in it, recurse until all squares are filled, backtrack |
2651 | * and change some choices if necessary. |
2652 | * |
2653 | * The clever bit is that every time it chooses which square to |
2654 | * fill in next, it does so by counting the number of _possible_ |
2655 | * numbers that can go in each square, and it prioritises so that |
2656 | * it picks a square with the _lowest_ number of possibilities. The |
2657 | * idea is that filling in lots of the obvious bits (particularly |
2658 | * any squares with only one possibility) will cut down on the list |
2659 | * of possibilities for other squares and hence reduce the enormous |
2660 | * search space as much as possible as early as possible. |
ad599e2b |
2661 | * |
2662 | * The use of bit sets implies that we support puzzles up to a size of |
2663 | * 32x32 (less if anyone finds a 16-bit machine to compile this on). |
ab362080 |
2664 | */ |
2665 | |
2666 | /* |
2667 | * Internal data structure used in gridgen to keep track of |
2668 | * progress. |
2669 | */ |
2670 | struct gridgen_coord { int x, y, r; }; |
2671 | struct gridgen_usage { |
fbd0fc79 |
2672 | int cr; |
ad599e2b |
2673 | struct block_structure *blocks, *kblocks; |
ab362080 |
2674 | /* grid is a copy of the input grid, modified as we go along */ |
2675 | digit *grid; |
ad599e2b |
2676 | /* |
2677 | * Bitsets. In each of them, bit n is set if digit n has been placed |
2678 | * in the corresponding region. row, col and blk are used for all |
2679 | * puzzles. cge is used only for killer puzzles, and diag is used |
2680 | * only for x-type puzzles. |
2681 | * All of these have cr entries, except diag which only has 2, |
2682 | * and cge, which has as many entries as kblocks. |
2683 | */ |
2684 | unsigned int *row, *col, *blk, *cge, *diag; |
ab362080 |
2685 | /* This lists all the empty spaces remaining in the grid. */ |
2686 | struct gridgen_coord *spaces; |
2687 | int nspaces; |
2688 | /* If we need randomisation in the solve, this is our random state. */ |
2689 | random_state *rs; |
2690 | }; |
2691 | |
ad599e2b |
2692 | static void gridgen_place(struct gridgen_usage *usage, int x, int y, digit n) |
47f2338e |
2693 | { |
ad599e2b |
2694 | unsigned int bit = 1 << n; |
47f2338e |
2695 | int cr = usage->cr; |
ad599e2b |
2696 | usage->row[y] |= bit; |
2697 | usage->col[x] |= bit; |
2698 | usage->blk[usage->blocks->whichblock[y*cr+x]] |= bit; |
2699 | if (usage->cge) |
2700 | usage->cge[usage->kblocks->whichblock[y*cr+x]] |= bit; |
2701 | if (usage->diag) { |
2702 | if (ondiag0(y*cr+x)) |
2703 | usage->diag[0] |= bit; |
2704 | if (ondiag1(y*cr+x)) |
2705 | usage->diag[1] |= bit; |
2706 | } |
2707 | usage->grid[y*cr+x] = n; |
2708 | } |
2709 | |
2710 | static void gridgen_remove(struct gridgen_usage *usage, int x, int y, digit n) |
2711 | { |
2712 | unsigned int mask = ~(1 << n); |
2713 | int cr = usage->cr; |
2714 | usage->row[y] &= mask; |
2715 | usage->col[x] &= mask; |
2716 | usage->blk[usage->blocks->whichblock[y*cr+x]] &= mask; |
2717 | if (usage->cge) |
2718 | usage->cge[usage->kblocks->whichblock[y*cr+x]] &= mask; |
47f2338e |
2719 | if (usage->diag) { |
2720 | if (ondiag0(y*cr+x)) |
ad599e2b |
2721 | usage->diag[0] &= mask; |
47f2338e |
2722 | if (ondiag1(y*cr+x)) |
ad599e2b |
2723 | usage->diag[1] &= mask; |
47f2338e |
2724 | } |
ad599e2b |
2725 | usage->grid[y*cr+x] = 0; |
47f2338e |
2726 | } |
2727 | |
ad599e2b |
2728 | #define N_SINGLE 32 |
2729 | |
ab362080 |
2730 | /* |
2731 | * The real recursive step in the generating function. |
fbd0fc79 |
2732 | * |
2733 | * Return values: 1 means solution found, 0 means no solution |
2734 | * found on this branch. |
ab362080 |
2735 | */ |
47f2338e |
2736 | static int gridgen_real(struct gridgen_usage *usage, digit *grid, int *steps) |
ab362080 |
2737 | { |
fbd0fc79 |
2738 | int cr = usage->cr; |
ab362080 |
2739 | int i, j, n, sx, sy, bestm, bestr, ret; |
2740 | int *digits; |
ad599e2b |
2741 | unsigned int used; |
ab362080 |
2742 | |
2743 | /* |
2744 | * Firstly, check for completion! If there are no spaces left |
2745 | * in the grid, we have a solution. |
2746 | */ |
47f2338e |
2747 | if (usage->nspaces == 0) |
ab362080 |
2748 | return TRUE; |
47f2338e |
2749 | |
2750 | /* |
2751 | * Next, abandon generation if we went over our steps limit. |
2752 | */ |
2753 | if (*steps <= 0) |
2754 | return FALSE; |
2755 | (*steps)--; |
ab362080 |
2756 | |
2757 | /* |
2758 | * Otherwise, there must be at least one space. Find the most |
2759 | * constrained space, using the `r' field as a tie-breaker. |
2760 | */ |
2761 | bestm = cr+1; /* so that any space will beat it */ |
2762 | bestr = 0; |
ad599e2b |
2763 | used = ~0; |
ab362080 |
2764 | i = sx = sy = -1; |
2765 | for (j = 0; j < usage->nspaces; j++) { |
2766 | int x = usage->spaces[j].x, y = usage->spaces[j].y; |
ad599e2b |
2767 | unsigned int used_xy; |
ab362080 |
2768 | int m; |
2769 | |
ad599e2b |
2770 | m = usage->blocks->whichblock[y*cr+x]; |
2771 | used_xy = usage->row[y] | usage->col[x] | usage->blk[m]; |
2772 | if (usage->cge != NULL) |
2773 | used_xy |= usage->cge[usage->kblocks->whichblock[y*cr+x]]; |
2774 | if (usage->cge != NULL) |
2775 | used_xy |= usage->cge[usage->kblocks->whichblock[y*cr+x]]; |
2776 | if (usage->diag != NULL) { |
2777 | if (ondiag0(y*cr+x)) |
2778 | used_xy |= usage->diag[0]; |
2779 | if (ondiag1(y*cr+x)) |
2780 | used_xy |= usage->diag[1]; |
2781 | } |
2782 | |
ab362080 |
2783 | /* |
2784 | * Find the number of digits that could go in this space. |
2785 | */ |
2786 | m = 0; |
ad599e2b |
2787 | for (n = 1; n <= cr; n++) { |
2788 | unsigned int bit = 1 << n; |
2789 | if ((used_xy & bit) == 0) |
ab362080 |
2790 | m++; |
ad599e2b |
2791 | } |
ab362080 |
2792 | if (m < bestm || (m == bestm && usage->spaces[j].r < bestr)) { |
2793 | bestm = m; |
2794 | bestr = usage->spaces[j].r; |
2795 | sx = x; |
2796 | sy = y; |
2797 | i = j; |
ad599e2b |
2798 | used = used_xy; |
ab362080 |
2799 | } |
2800 | } |
2801 | |
2802 | /* |
2803 | * Swap that square into the final place in the spaces array, |
2804 | * so that decrementing nspaces will remove it from the list. |
2805 | */ |
2806 | if (i != usage->nspaces-1) { |
2807 | struct gridgen_coord t; |
2808 | t = usage->spaces[usage->nspaces-1]; |
2809 | usage->spaces[usage->nspaces-1] = usage->spaces[i]; |
2810 | usage->spaces[i] = t; |
2811 | } |
2812 | |
2813 | /* |
2814 | * Now we've decided which square to start our recursion at, |
2815 | * simply go through all possible values, shuffling them |
2816 | * randomly first if necessary. |
2817 | */ |
2818 | digits = snewn(bestm, int); |
ad599e2b |
2819 | |
ab362080 |
2820 | j = 0; |
ad599e2b |
2821 | for (n = 1; n <= cr; n++) { |
2822 | unsigned int bit = 1 << n; |
2823 | |
2824 | if ((used & bit) == 0) |
2825 | digits[j++] = n; |
2826 | } |
ab362080 |
2827 | |
947a07d6 |
2828 | if (usage->rs) |
2829 | shuffle(digits, j, sizeof(*digits), usage->rs); |
ab362080 |
2830 | |
2831 | /* And finally, go through the digit list and actually recurse. */ |
2832 | ret = FALSE; |
2833 | for (i = 0; i < j; i++) { |
2834 | n = digits[i]; |
2835 | |
2836 | /* Update the usage structure to reflect the placing of this digit. */ |
ad599e2b |
2837 | gridgen_place(usage, sx, sy, n); |
ab362080 |
2838 | usage->nspaces--; |
2839 | |
2840 | /* Call the solver recursively. Stop when we find a solution. */ |
47f2338e |
2841 | if (gridgen_real(usage, grid, steps)) { |
ab362080 |
2842 | ret = TRUE; |
47f2338e |
2843 | break; |
2844 | } |
ab362080 |
2845 | |
2846 | /* Revert the usage structure. */ |
ad599e2b |
2847 | gridgen_remove(usage, sx, sy, n); |
ab362080 |
2848 | usage->nspaces++; |
ab362080 |
2849 | } |
2850 | |
2851 | sfree(digits); |
2852 | return ret; |
2853 | } |
2854 | |
2855 | /* |
fbd0fc79 |
2856 | * Entry point to generator. You give it parameters and a starting |
ab362080 |
2857 | * grid, which is simply an array of cr*cr digits. |
2858 | */ |
ad599e2b |
2859 | static int gridgen(int cr, struct block_structure *blocks, |
2860 | struct block_structure *kblocks, int xtype, |
47f2338e |
2861 | digit *grid, random_state *rs, int maxsteps) |
ab362080 |
2862 | { |
2863 | struct gridgen_usage *usage; |
fbd0fc79 |
2864 | int x, y, ret; |
ab362080 |
2865 | |
2866 | /* |
2867 | * Clear the grid to start with. |
2868 | */ |
2869 | memset(grid, 0, cr*cr); |
2870 | |
2871 | /* |
2872 | * Create a gridgen_usage structure. |
2873 | */ |
2874 | usage = snew(struct gridgen_usage); |
2875 | |
ab362080 |
2876 | usage->cr = cr; |
fbd0fc79 |
2877 | usage->blocks = blocks; |
ab362080 |
2878 | |
47f2338e |
2879 | usage->grid = grid; |
ab362080 |
2880 | |
ad599e2b |
2881 | usage->row = snewn(cr, unsigned int); |
2882 | usage->col = snewn(cr, unsigned int); |
2883 | usage->blk = snewn(cr, unsigned int); |
2884 | if (kblocks != NULL) { |
2885 | usage->kblocks = kblocks; |
2886 | usage->cge = snewn(usage->kblocks->nr_blocks, unsigned int); |
2887 | memset(usage->cge, FALSE, kblocks->nr_blocks * sizeof *usage->cge); |
2888 | } else { |
2889 | usage->cge = NULL; |
2890 | } |
2891 | |
2892 | memset(usage->row, 0, cr * sizeof *usage->row); |
2893 | memset(usage->col, 0, cr * sizeof *usage->col); |
2894 | memset(usage->blk, 0, cr * sizeof *usage->blk); |
ab362080 |
2895 | |
fbd0fc79 |
2896 | if (xtype) { |
ad599e2b |
2897 | usage->diag = snewn(2, unsigned int); |
2898 | memset(usage->diag, 0, 2 * sizeof *usage->diag); |
fbd0fc79 |
2899 | } else { |
2900 | usage->diag = NULL; |
2901 | } |
2902 | |
47f2338e |
2903 | /* |
2904 | * Begin by filling in the whole top row with randomly chosen |
2905 | * numbers. This cannot introduce any bias or restriction on |
2906 | * the available grids, since we already know those numbers |
2907 | * are all distinct so all we're doing is choosing their |
2908 | * labels. |
2909 | */ |
2910 | for (x = 0; x < cr; x++) |
2911 | grid[x] = x+1; |
2912 | shuffle(grid, cr, sizeof(*grid), rs); |
2913 | for (x = 0; x < cr; x++) |
ad599e2b |
2914 | gridgen_place(usage, x, 0, grid[x]); |
47f2338e |
2915 | |
ab362080 |
2916 | usage->spaces = snewn(cr * cr, struct gridgen_coord); |
2917 | usage->nspaces = 0; |
2918 | |
2919 | usage->rs = rs; |
2920 | |
2921 | /* |
47f2338e |
2922 | * Initialise the list of grid spaces, taking care to leave |
2923 | * out the row I've already filled in above. |
ab362080 |
2924 | */ |
47f2338e |
2925 | for (y = 1; y < cr; y++) { |
ab362080 |
2926 | for (x = 0; x < cr; x++) { |
2927 | usage->spaces[usage->nspaces].x = x; |
2928 | usage->spaces[usage->nspaces].y = y; |
2929 | usage->spaces[usage->nspaces].r = random_bits(rs, 31); |
2930 | usage->nspaces++; |
2931 | } |
2932 | } |
2933 | |
2934 | /* |
2935 | * Run the real generator function. |
2936 | */ |
47f2338e |
2937 | ret = gridgen_real(usage, grid, &maxsteps); |
ab362080 |
2938 | |
2939 | /* |
2940 | * Clean up the usage structure now we have our answer. |
2941 | */ |
2942 | sfree(usage->spaces); |
ad599e2b |
2943 | sfree(usage->cge); |
ab362080 |
2944 | sfree(usage->blk); |
2945 | sfree(usage->col); |
2946 | sfree(usage->row); |
ab362080 |
2947 | sfree(usage); |
fbd0fc79 |
2948 | |
2949 | return ret; |
ab362080 |
2950 | } |
2951 | |
2952 | /* ---------------------------------------------------------------------- |
2953 | * End of grid generator code. |
1d8e8ad8 |
2954 | */ |
2955 | |
2956 | /* |
2957 | * Check whether a grid contains a valid complete puzzle. |
2958 | */ |
997065cf |
2959 | static int check_valid(int cr, struct block_structure *blocks, |
2960 | struct block_structure *kblocks, int xtype, digit *grid) |
1d8e8ad8 |
2961 | { |
1d8e8ad8 |
2962 | unsigned char *used; |
fbd0fc79 |
2963 | int x, y, i, j, n; |
1d8e8ad8 |
2964 | |
2965 | used = snewn(cr, unsigned char); |
2966 | |
2967 | /* |
2968 | * Check that each row contains precisely one of everything. |
2969 | */ |
2970 | for (y = 0; y < cr; y++) { |
2971 | memset(used, FALSE, cr); |
2972 | for (x = 0; x < cr; x++) |
2973 | if (grid[y*cr+x] > 0 && grid[y*cr+x] <= cr) |
2974 | used[grid[y*cr+x]-1] = TRUE; |
2975 | for (n = 0; n < cr; n++) |
2976 | if (!used[n]) { |
2977 | sfree(used); |
2978 | return FALSE; |
2979 | } |
2980 | } |
2981 | |
2982 | /* |
2983 | * Check that each column contains precisely one of everything. |
2984 | */ |
2985 | for (x = 0; x < cr; x++) { |
2986 | memset(used, FALSE, cr); |
2987 | for (y = 0; y < cr; y++) |
2988 | if (grid[y*cr+x] > 0 && grid[y*cr+x] <= cr) |
2989 | used[grid[y*cr+x]-1] = TRUE; |
2990 | for (n = 0; n < cr; n++) |
2991 | if (!used[n]) { |
2992 | sfree(used); |
2993 | return FALSE; |
2994 | } |
2995 | } |
2996 | |
2997 | /* |
2998 | * Check that each block contains precisely one of everything. |
2999 | */ |
fbd0fc79 |
3000 | for (i = 0; i < cr; i++) { |
3001 | memset(used, FALSE, cr); |
3002 | for (j = 0; j < cr; j++) |
3003 | if (grid[blocks->blocks[i][j]] > 0 && |
3004 | grid[blocks->blocks[i][j]] <= cr) |
3005 | used[grid[blocks->blocks[i][j]]-1] = TRUE; |
3006 | for (n = 0; n < cr; n++) |
3007 | if (!used[n]) { |
3008 | sfree(used); |
3009 | return FALSE; |
3010 | } |
1d8e8ad8 |
3011 | } |
3012 | |
fbd0fc79 |
3013 | /* |
997065cf |
3014 | * Check that each Killer cage, if any, contains at most one of |
3015 | * everything. |
3016 | */ |
3017 | if (kblocks) { |
3018 | for (i = 0; i < kblocks->nr_blocks; i++) { |
3019 | memset(used, FALSE, cr); |
3020 | for (j = 0; j < kblocks->nr_squares[i]; j++) |
3021 | if (grid[kblocks->blocks[i][j]] > 0 && |
3022 | grid[kblocks->blocks[i][j]] <= cr) { |
3023 | if (used[grid[kblocks->blocks[i][j]]-1]) { |
3024 | sfree(used); |
3025 | return FALSE; |
3026 | } |
3027 | used[grid[kblocks->blocks[i][j]]-1] = TRUE; |
3028 | } |
3029 | } |
3030 | } |
3031 | |
3032 | /* |
fbd0fc79 |
3033 | * Check that each diagonal contains precisely one of everything. |
3034 | */ |
3035 | if (xtype) { |
3036 | memset(used, FALSE, cr); |
3037 | for (i = 0; i < cr; i++) |
3038 | if (grid[diag0(i)] > 0 && grid[diag0(i)] <= cr) |
3039 | used[grid[diag0(i)]-1] = TRUE; |
3040 | for (n = 0; n < cr; n++) |
3041 | if (!used[n]) { |
3042 | sfree(used); |
3043 | return FALSE; |
3044 | } |
3045 | for (i = 0; i < cr; i++) |
3046 | if (grid[diag1(i)] > 0 && grid[diag1(i)] <= cr) |
3047 | used[grid[diag1(i)]-1] = TRUE; |
3048 | for (n = 0; n < cr; n++) |
3049 | if (!used[n]) { |
3050 | sfree(used); |
3051 | return FALSE; |
3052 | } |
3053 | } |
3054 | |
3055 | sfree(used); |
3056 | return TRUE; |
1d8e8ad8 |
3057 | } |
3058 | |
ef57b17d |
3059 | static int symmetries(game_params *params, int x, int y, int *output, int s) |
3060 | { |
3061 | int c = params->c, r = params->r, cr = c*r; |
3062 | int i = 0; |
3063 | |
154bf9b1 |
3064 | #define ADD(x,y) (*output++ = (x), *output++ = (y), i++) |
3065 | |
3066 | ADD(x, y); |
ef57b17d |
3067 | |
3068 | switch (s) { |
3069 | case SYMM_NONE: |
3070 | break; /* just x,y is all we need */ |
ef57b17d |
3071 | case SYMM_ROT2: |
154bf9b1 |
3072 | ADD(cr - 1 - x, cr - 1 - y); |
3073 | break; |
3074 | case SYMM_ROT4: |
3075 | ADD(cr - 1 - y, x); |
3076 | ADD(y, cr - 1 - x); |
3077 | ADD(cr - 1 - x, cr - 1 - y); |
3078 | break; |
3079 | case SYMM_REF2: |
3080 | ADD(cr - 1 - x, y); |
3081 | break; |
3082 | case SYMM_REF2D: |
3083 | ADD(y, x); |
3084 | break; |
3085 | case SYMM_REF4: |
3086 | ADD(cr - 1 - x, y); |
3087 | ADD(x, cr - 1 - y); |
3088 | ADD(cr - 1 - x, cr - 1 - y); |
3089 | break; |
3090 | case SYMM_REF4D: |
3091 | ADD(y, x); |
3092 | ADD(cr - 1 - x, cr - 1 - y); |
3093 | ADD(cr - 1 - y, cr - 1 - x); |
3094 | break; |
3095 | case SYMM_REF8: |
3096 | ADD(cr - 1 - x, y); |
3097 | ADD(x, cr - 1 - y); |
3098 | ADD(cr - 1 - x, cr - 1 - y); |
3099 | ADD(y, x); |
3100 | ADD(y, cr - 1 - x); |
3101 | ADD(cr - 1 - y, x); |
3102 | ADD(cr - 1 - y, cr - 1 - x); |
3103 | break; |
ef57b17d |
3104 | } |
3105 | |
154bf9b1 |
3106 | #undef ADD |
3107 | |
ef57b17d |
3108 | return i; |
3109 | } |
3110 | |
c566778e |
3111 | static char *encode_solve_move(int cr, digit *grid) |
3112 | { |
3113 | int i, len; |
3114 | char *ret, *p, *sep; |
3115 | |
3116 | /* |
3117 | * It's surprisingly easy to work out _exactly_ how long this |
3118 | * string needs to be. To decimal-encode all the numbers from 1 |
3119 | * to n: |
3120 | * |
3121 | * - every number has a units digit; total is n. |
3122 | * - all numbers above 9 have a tens digit; total is max(n-9,0). |
3123 | * - all numbers above 99 have a hundreds digit; total is max(n-99,0). |
3124 | * - and so on. |
3125 | */ |
3126 | len = 0; |
3127 | for (i = 1; i <= cr; i *= 10) |
3128 | len += max(cr - i + 1, 0); |
3129 | len += cr; /* don't forget the commas */ |
3130 | len *= cr; /* there are cr rows of these */ |
3131 | |
3132 | /* |
3133 | * Now len is one bigger than the total size of the |
3134 | * comma-separated numbers (because we counted an |
3135 | * additional leading comma). We need to have a leading S |
3136 | * and a trailing NUL, so we're off by one in total. |
3137 | */ |
3138 | len++; |
3139 | |
3140 | ret = snewn(len, char); |
3141 | p = ret; |
3142 | *p++ = 'S'; |
3143 | sep = ""; |
3144 | for (i = 0; i < cr*cr; i++) { |
3145 | p += sprintf(p, "%s%d", sep, grid[i]); |
3146 | sep = ","; |
3147 | } |
3148 | *p++ = '\0'; |
3149 | assert(p - ret == len); |
3150 | |
3151 | return ret; |
3152 | } |
3220eba4 |
3153 | |
ad599e2b |
3154 | static void dsf_to_blocks(int *dsf, struct block_structure *blocks, |
3155 | int min_expected, int max_expected) |
3156 | { |
3157 | int cr = blocks->c * blocks->r, area = cr * cr; |
3158 | int i, nb = 0; |
3159 | |
3160 | for (i = 0; i < area; i++) |
3161 | blocks->whichblock[i] = -1; |
3162 | for (i = 0; i < area; i++) { |
3163 | int j = dsf_canonify(dsf, i); |
3164 | if (blocks->whichblock[j] < 0) |
3165 | blocks->whichblock[j] = nb++; |
3166 | blocks->whichblock[i] = blocks->whichblock[j]; |
3167 | } |
3168 | assert(nb >= min_expected && nb <= max_expected); |
3169 | blocks->nr_blocks = nb; |
3170 | } |
3171 | |
3172 | static void make_blocks_from_whichblock(struct block_structure *blocks) |
3173 | { |
3174 | int i; |
3175 | |
3176 | for (i = 0; i < blocks->nr_blocks; i++) { |
3177 | blocks->blocks[i][blocks->max_nr_squares-1] = 0; |
3178 | blocks->nr_squares[i] = 0; |
3179 | } |
3180 | for (i = 0; i < blocks->area; i++) { |
3181 | int b = blocks->whichblock[i]; |
3182 | int j = blocks->blocks[b][blocks->max_nr_squares-1]++; |
3183 | assert(j < blocks->max_nr_squares); |
3184 | blocks->blocks[b][j] = i; |
3185 | blocks->nr_squares[b]++; |
3186 | } |
3187 | } |
3188 | |
3189 | static char *encode_block_structure_desc(char *p, struct block_structure *blocks) |
3190 | { |
3191 | int i, currrun = 0; |
3192 | int c = blocks->c, r = blocks->r, cr = c * r; |
3193 | |
3194 | /* |
3195 | * Encode the block structure. We do this by encoding |
3196 | * the pattern of dividing lines: first we iterate |
3197 | * over the cr*(cr-1) internal vertical grid lines in |
3198 | * ordinary reading order, then over the cr*(cr-1) |
3199 | * internal horizontal ones in transposed reading |
3200 | * order. |
3201 | * |
3202 | * We encode the number of non-lines between the |
3203 | * lines; _ means zero (two adjacent divisions), a |
3204 | * means 1, ..., y means 25, and z means 25 non-lines |
3205 | * _and no following line_ (so that za means 26, zb 27 |
3206 | * etc). |
3207 | */ |
3208 | for (i = 0; i <= 2*cr*(cr-1); i++) { |
3209 | int x, y, p0, p1, edge; |
3210 | |
3211 | if (i == 2*cr*(cr-1)) { |
3212 | edge = TRUE; /* terminating virtual edge */ |
3213 | } else { |
3214 | if (i < cr*(cr-1)) { |
3215 | y = i/(cr-1); |
3216 | x = i%(cr-1); |
3217 | p0 = y*cr+x; |
3218 | p1 = y*cr+x+1; |
3219 | } else { |
3220 | x = i/(cr-1) - cr; |
3221 | y = i%(cr-1); |
3222 | p0 = y*cr+x; |
3223 | p1 = (y+1)*cr+x; |
3224 | } |
3225 | edge = (blocks->whichblock[p0] != blocks->whichblock[p1]); |
3226 | } |
3227 | |
3228 | if (edge) { |
3229 | while (currrun > 25) |
3230 | *p++ = 'z', currrun -= 25; |
3231 | if (currrun) |
3232 | *p++ = 'a'-1 + currrun; |
3233 | else |
3234 | *p++ = '_'; |
3235 | currrun = 0; |
3236 | } else |
3237 | currrun++; |
3238 | } |
3239 | return p; |
3240 | } |
3241 | |
3242 | static char *encode_grid(char *desc, digit *grid, int area) |
3243 | { |
3244 | int run, i; |
3245 | char *p = desc; |
3246 | |
3247 | run = 0; |
3248 | for (i = 0; i <= area; i++) { |
3249 | int n = (i < area ? grid[i] : -1); |
3250 | |
3251 | if (!n) |
3252 | run++; |
3253 | else { |
3254 | if (run) { |
3255 | while (run > 0) { |
3256 | int c = 'a' - 1 + run; |
3257 | if (run > 26) |
3258 | c = 'z'; |
3259 | *p++ = c; |
3260 | run -= c - ('a' - 1); |
3261 | } |
3262 | } else { |
3263 | /* |
3264 | * If there's a number in the very top left or |
3265 | * bottom right, there's no point putting an |
3266 | * unnecessary _ before or after it. |
3267 | */ |
3268 | if (p > desc && n > 0) |
3269 | *p++ = '_'; |
3270 | } |
3271 | if (n > 0) |
3272 | p += sprintf(p, "%d", n); |
3273 | run = 0; |
3274 | } |
3275 | } |
3276 | return p; |
3277 | } |
3278 | |
3279 | /* |
3280 | * Conservatively stimate the number of characters required for |
3281 | * encoding a grid of a certain area. |
3282 | */ |
3283 | static int grid_encode_space (int area) |
3284 | { |
3285 | int t, count; |
3286 | for (count = 1, t = area; t > 26; t -= 26) |
3287 | count++; |
3288 | return count * area; |
3289 | } |
3290 | |
3291 | /* |
3292 | * Conservatively stimate the number of characters required for |
3293 | * encoding a given blocks structure. |
3294 | */ |
3295 | static int blocks_encode_space(struct block_structure *blocks) |
3296 | { |
3297 | int cr = blocks->c * blocks->r, area = cr * cr; |
3298 | return grid_encode_space(area); |
3299 | } |
3300 | |
3301 | static char *encode_puzzle_desc(game_params *params, digit *grid, |
3302 | struct block_structure *blocks, |
3303 | digit *kgrid, |
3304 | struct block_structure *kblocks) |
3305 | { |
3306 | int c = params->c, r = params->r, cr = c*r; |
3307 | int area = cr*cr; |
3308 | char *p, *desc; |
3309 | int space; |
3310 | |
3311 | space = grid_encode_space(area) + 1; |
3312 | if (r == 1) |
3313 | space += blocks_encode_space(blocks) + 1; |
3314 | if (params->killer) { |
3315 | space += blocks_encode_space(kblocks) + 1; |
3316 | space += grid_encode_space(area) + 1; |
3317 | } |
3318 | desc = snewn(space, char); |
3319 | p = encode_grid(desc, grid, area); |
3320 | |
3321 | if (r == 1) { |
3322 | *p++ = ','; |
3323 | p = encode_block_structure_desc(p, blocks); |
3324 | } |
3325 | if (params->killer) { |
3326 | *p++ = ','; |
3327 | p = encode_block_structure_desc(p, kblocks); |
3328 | *p++ = ','; |
3329 | p = encode_grid(p, kgrid, area); |
3330 | } |
3331 | assert(p - desc < space); |
3332 | *p++ = '\0'; |
3333 | desc = sresize(desc, p - desc, char); |
3334 | |
3335 | return desc; |
3336 | } |
3337 | |
3338 | static void merge_blocks(struct block_structure *b, int n1, int n2) |
3339 | { |
3340 | int i; |
3341 | /* Move data towards the lower block number. */ |
3342 | if (n2 < n1) { |
3343 | int t = n2; |
3344 | n2 = n1; |
3345 | n1 = t; |
3346 | } |
3347 | |
3348 | /* Merge n2 into n1, and move the last block into n2's position. */ |
3349 | for (i = 0; i < b->nr_squares[n2]; i++) |
3350 | b->whichblock[b->blocks[n2][i]] = n1; |
3351 | memcpy(b->blocks[n1] + b->nr_squares[n1], b->blocks[n2], |
3352 | b->nr_squares[n2] * sizeof **b->blocks); |
3353 | b->nr_squares[n1] += b->nr_squares[n2]; |
3354 | |
3355 | n1 = b->nr_blocks - 1; |
3356 | if (n2 != n1) { |
3357 | memcpy(b->blocks[n2], b->blocks[n1], |
3358 | b->nr_squares[n1] * sizeof **b->blocks); |
3359 | for (i = 0; i < b->nr_squares[n1]; i++) |
3360 | b->whichblock[b->blocks[n1][i]] = n2; |
3361 | b->nr_squares[n2] = b->nr_squares[n1]; |
3362 | } |
3363 | b->nr_blocks = n1; |
3364 | } |
3365 | |
d6876232 |
3366 | static int merge_some_cages(struct block_structure *b, int cr, int area, |
ad599e2b |
3367 | digit *grid, random_state *rs) |
3368 | { |
d6876232 |
3369 | /* |
3370 | * Make a list of all the pairs of adjacent blocks. |
3371 | */ |
3372 | int i, j, k; |
3373 | struct pair { |
3374 | int b1, b2; |
3375 | } *pairs; |
3376 | int npairs; |
ad599e2b |
3377 | |
d6876232 |
3378 | pairs = snewn(b->nr_blocks * b->nr_blocks, struct pair); |
3379 | npairs = 0; |
ad599e2b |
3380 | |
d6876232 |
3381 | for (i = 0; i < b->nr_blocks; i++) { |
3382 | for (j = i+1; j < b->nr_blocks; j++) { |
ad599e2b |
3383 | |
d6876232 |
3384 | /* |
3385 | * Rule the merger out of consideration if it's |
3386 | * obviously not viable. |
3387 | */ |
3388 | if (b->nr_squares[i] + b->nr_squares[j] > b->max_nr_squares) |
3389 | continue; /* we couldn't merge these anyway */ |
3390 | |
3391 | /* |
3392 | * See if these two blocks have a pair of squares |
3393 | * adjacent to each other. |
3394 | */ |
3395 | for (k = 0; k < b->nr_squares[i]; k++) { |
3396 | int xy = b->blocks[i][k]; |
3397 | int y = xy / cr, x = xy % cr; |
3398 | if ((y > 0 && b->whichblock[xy - cr] == j) || |
3399 | (y+1 < cr && b->whichblock[xy + cr] == j) || |
3400 | (x > 0 && b->whichblock[xy - 1] == j) || |
3401 | (x+1 < cr && b->whichblock[xy + 1] == j)) { |
3402 | /* |
3403 | * Yes! Add this pair to our list. |
3404 | */ |
3405 | pairs[npairs].b1 = i; |
3406 | pairs[npairs].b2 = j; |
3407 | break; |
3408 | } |
3409 | } |
3410 | } |
3411 | } |
3412 | |
3413 | /* |
3414 | * Now go through that list in random order until we find a pair |
3415 | * of blocks we can merge. |
3416 | */ |
3417 | while (npairs > 0) { |
3418 | int n1, n2; |
3419 | unsigned int digits_found; |
3420 | |
3421 | /* |
3422 | * Pick a random pair, and remove it from the list. |
3423 | */ |
3424 | i = random_upto(rs, npairs); |
3425 | n1 = pairs[i].b1; |
3426 | n2 = pairs[i].b2; |
3427 | if (i != npairs-1) |
3428 | pairs[i] = pairs[npairs-1]; |
3429 | npairs--; |
ad599e2b |
3430 | |
3431 | /* Guarantee that the merged cage would still be a region. */ |
3432 | digits_found = 0; |
3433 | for (i = 0; i < b->nr_squares[n1]; i++) |
3434 | digits_found |= 1 << grid[b->blocks[n1][i]]; |
3435 | for (i = 0; i < b->nr_squares[n2]; i++) |
3436 | if (digits_found & (1 << grid[b->blocks[n2][i]])) |
3437 | break; |
3438 | if (i != b->nr_squares[n2]) |
3439 | continue; |
3440 | |
d6876232 |
3441 | /* |
3442 | * Got one! Do the merge. |
3443 | */ |
ad599e2b |
3444 | merge_blocks(b, n1, n2); |
d6876232 |
3445 | sfree(pairs); |
3446 | return TRUE; |
3447 | } |
3448 | |
3449 | sfree(pairs); |
3450 | return FALSE; |
ad599e2b |
3451 | } |
3452 | |
3453 | static void compute_kclues(struct block_structure *cages, digit *kclues, |
3454 | digit *grid, int area) |
3455 | { |
3456 | int i; |
3457 | memset(kclues, 0, area * sizeof *kclues); |
3458 | for (i = 0; i < cages->nr_blocks; i++) { |
3459 | int j, sum = 0; |
3460 | for (j = 0; j < area; j++) |
3461 | if (cages->whichblock[j] == i) |
3462 | sum += grid[j]; |
3463 | for (j = 0; j < area; j++) |
3464 | if (cages->whichblock[j] == i) |
3465 | break; |
3466 | assert (j != area); |
3467 | kclues[j] = sum; |
3468 | } |
3469 | } |
3470 | |
3471 | static struct block_structure *gen_killer_cages(int cr, random_state *rs, |
3472 | int remove_singletons) |
3473 | { |
3474 | int nr; |
3475 | int x, y, area = cr * cr; |
3476 | int n_singletons = 0; |
3477 | struct block_structure *b = alloc_block_structure (1, cr, area, cr, area); |
3478 | |
3479 | for (x = 0; x < area; x++) |
3480 | b->whichblock[x] = -1; |
3481 | nr = 0; |
3482 | for (y = 0; y < cr; y++) |
3483 | for (x = 0; x < cr; x++) { |
3484 | int rnd; |
3485 | int xy = y*cr+x; |
3486 | if (b->whichblock[xy] != -1) |
3487 | continue; |
3488 | b->whichblock[xy] = nr; |
3489 | |
3490 | rnd = random_bits(rs, 4); |
3491 | if (xy + 1 < area && (rnd >= 4 || (!remove_singletons && rnd >= 1))) { |
3492 | int xy2 = xy + 1; |
3493 | if (x + 1 == cr || b->whichblock[xy2] != -1 || |
3494 | (xy + cr < area && random_bits(rs, 1) == 0)) |
3495 | xy2 = xy + cr; |
3496 | if (xy2 >= area) |
3497 | n_singletons++; |
3498 | else |
3499 | b->whichblock[xy2] = nr; |
3500 | } else |
3501 | n_singletons++; |
3502 | nr++; |
3503 | } |
3504 | |
3505 | b->nr_blocks = nr; |
3506 | make_blocks_from_whichblock(b); |
3507 | |
3508 | for (x = y = 0; x < b->nr_blocks; x++) |
3509 | if (b->nr_squares[x] == 1) |
3510 | y++; |
3511 | assert(y == n_singletons); |
3512 | |
3513 | if (n_singletons > 0 && remove_singletons) { |
3514 | int n; |
3515 | for (n = 0; n < b->nr_blocks;) { |
3516 | int xy, x, y, xy2, other; |
3517 | if (b->nr_squares[n] > 1) { |
3518 | n++; |
3519 | continue; |
3520 | } |
3521 | xy = b->blocks[n][0]; |
3522 | x = xy % cr; |
3523 | y = xy / cr; |
3524 | if (xy + 1 == area) |
3525 | xy2 = xy - 1; |
3526 | else if (x + 1 < cr && (y + 1 == cr || random_bits(rs, 1) == 0)) |
3527 | xy2 = xy + 1; |
3528 | else |
3529 | xy2 = xy + cr; |
3530 | other = b->whichblock[xy2]; |
3531 | |
3532 | if (b->nr_squares[other] == 1) |
3533 | n_singletons--; |
3534 | n_singletons--; |
3535 | merge_blocks(b, n, other); |
3536 | if (n < other) |
3537 | n++; |
3538 | } |
3539 | assert(n_singletons == 0); |
3540 | } |
3541 | return b; |
3542 | } |
3543 | |
1185e3c5 |
3544 | static char *new_game_desc(game_params *params, random_state *rs, |
c566778e |
3545 | char **aux, int interactive) |
1d8e8ad8 |
3546 | { |
3547 | int c = params->c, r = params->r, cr = c*r; |
3548 | int area = cr*cr; |
ad599e2b |
3549 | struct block_structure *blocks, *kblocks; |
3550 | digit *grid, *grid2, *kgrid; |
1d8e8ad8 |
3551 | struct xy { int x, y; } *locs; |
3552 | int nlocs; |
1185e3c5 |
3553 | char *desc; |
ef57b17d |
3554 | int coords[16], ncoords; |
1af60e1e |
3555 | int x, y, i, j; |
ad599e2b |
3556 | struct difficulty dlev; |
3557 | |
3558 | precompute_sum_bits(); |
1d8e8ad8 |
3559 | |
3560 | /* |
7c568a48 |
3561 | * Adjust the maximum difficulty level to be consistent with |
3562 | * the puzzle size: all 2x2 puzzles appear to be Trivial |
3563 | * (DIFF_BLOCK) so we cannot hold out for even a Basic |
3564 | * (DIFF_SIMPLE) one. |
1d8e8ad8 |
3565 | */ |
ad599e2b |
3566 | dlev.maxdiff = params->diff; |
3567 | dlev.maxkdiff = params->kdiff; |
7c568a48 |
3568 | if (c == 2 && r == 2) |
ad599e2b |
3569 | dlev.maxdiff = DIFF_BLOCK; |
1d8e8ad8 |
3570 | |
7c568a48 |
3571 | grid = snewn(area, digit); |
ef57b17d |
3572 | locs = snewn(area, struct xy); |
1d8e8ad8 |
3573 | grid2 = snewn(area, digit); |
1d8e8ad8 |
3574 | |
ad599e2b |
3575 | blocks = alloc_block_structure (c, r, area, cr, cr); |
3576 | |
9a6d429a |
3577 | kblocks = NULL; |
3578 | kgrid = (params->killer) ? snewn(area, digit) : NULL; |
ad599e2b |
3579 | |
fbd0fc79 |
3580 | #ifdef STANDALONE_SOLVER |
3581 | assert(!"This should never happen, so we don't need to create blocknames"); |
3582 | #endif |
3583 | |
7c568a48 |
3584 | /* |
3585 | * Loop until we get a grid of the required difficulty. This is |
3586 | * nasty, but it seems to be unpleasantly hard to generate |
3587 | * difficult grids otherwise. |
3588 | */ |
fbd0fc79 |
3589 | while (1) { |
7c568a48 |
3590 | /* |
fbd0fc79 |
3591 | * Generate a random solved state, starting by |
3592 | * constructing the block structure. |
7c568a48 |
3593 | */ |
fbd0fc79 |
3594 | if (r == 1) { /* jigsaw mode */ |
3595 | int *dsf = divvy_rectangle(cr, cr, cr, rs); |
fbd0fc79 |
3596 | |
ad599e2b |
3597 | dsf_to_blocks (dsf, blocks, cr, cr); |
fbd0fc79 |
3598 | |
3599 | sfree(dsf); |
3600 | } else { /* basic Sudoku mode */ |
3601 | for (y = 0; y < cr; y++) |
3602 | for (x = 0; x < cr; x++) |
3603 | blocks->whichblock[y*cr+x] = (y/c) * c + (x/r); |
3604 | } |
ad599e2b |
3605 | make_blocks_from_whichblock(blocks); |
3606 | |
3607 | if (params->killer) { |
9a6d429a |
3608 | if (kblocks) free_block_structure(kblocks); |
ad599e2b |
3609 | kblocks = gen_killer_cages(cr, rs, params->kdiff > DIFF_KSINGLE); |
fbd0fc79 |
3610 | } |
3611 | |
ad599e2b |
3612 | if (!gridgen(cr, blocks, kblocks, params->xtype, grid, rs, area*area)) |
47f2338e |
3613 | continue; |
997065cf |
3614 | assert(check_valid(cr, blocks, kblocks, params->xtype, grid)); |
7c568a48 |
3615 | |
3220eba4 |
3616 | /* |
c566778e |
3617 | * Save the solved grid in aux. |
3220eba4 |
3618 | */ |
3619 | { |
ab53eb64 |
3620 | /* |
3621 | * We might already have written *aux the last time we |
3622 | * went round this loop, in which case we should free |
c566778e |
3623 | * the old aux before overwriting it with the new one. |
ab53eb64 |
3624 | */ |
3625 | if (*aux) { |
ab53eb64 |
3626 | sfree(*aux); |
3627 | } |
c566778e |
3628 | |
3629 | *aux = encode_solve_move(cr, grid); |
3220eba4 |
3630 | } |
3631 | |
ad599e2b |
3632 | /* |
3633 | * Now we have a solved grid. For normal puzzles, we start removing |
3634 | * things from it while preserving solubility. Killer puzzles are |
3635 | * different: we just pass the empty grid to the solver, and use |
3636 | * the puzzle if it comes back solved. |
3637 | */ |
3638 | |
3639 | if (params->killer) { |
3640 | struct block_structure *good_cages = NULL; |
3641 | struct block_structure *last_cages = NULL; |
3642 | int ntries = 0; |
3643 | |
3644 | memcpy(grid2, grid, area); |
3645 | |
3646 | for (;;) { |
3647 | compute_kclues(kblocks, kgrid, grid2, area); |
3648 | |
3649 | memset(grid, 0, area * sizeof *grid); |
3650 | solver(cr, blocks, kblocks, params->xtype, grid, kgrid, &dlev); |
3651 | if (dlev.diff == dlev.maxdiff && dlev.kdiff == dlev.maxkdiff) { |
3652 | /* |
3653 | * We have one that matches our difficulty. Store it for |
3654 | * later, but keep going. |
3655 | */ |
3656 | if (good_cages) |
3657 | free_block_structure(good_cages); |
3658 | ntries = 0; |
3659 | good_cages = dup_block_structure(kblocks); |
d6876232 |
3660 | if (!merge_some_cages(kblocks, cr, area, grid2, rs)) |
3661 | break; |
ad599e2b |
3662 | } else if (dlev.diff > dlev.maxdiff || dlev.kdiff > dlev.maxkdiff) { |
3663 | /* |
3664 | * Give up after too many tries and either use the good one we |
3665 | * found, or generate a new grid. |
3666 | */ |
3667 | if (++ntries > 50) |
3668 | break; |
3669 | /* |
3670 | * The difficulty level got too high. If we have a good |
3671 | * one, use it, otherwise go back to the last one that |
3672 | * was at a lower difficulty and restart the process from |
3673 | * there. |
3674 | */ |
3675 | if (good_cages != NULL) { |
3676 | free_block_structure(kblocks); |
3677 | kblocks = dup_block_structure(good_cages); |
d6876232 |
3678 | if (!merge_some_cages(kblocks, cr, area, grid2, rs)) |
3679 | break; |
ad599e2b |
3680 | } else { |
3681 | if (last_cages == NULL) |
3682 | break; |
3683 | free_block_structure(kblocks); |
3684 | kblocks = last_cages; |
3685 | last_cages = NULL; |
3686 | } |
3687 | } else { |
3688 | if (last_cages) |
3689 | free_block_structure(last_cages); |
3690 | last_cages = dup_block_structure(kblocks); |
d6876232 |
3691 | if (!merge_some_cages(kblocks, cr, area, grid2, rs)) |
3692 | break; |
ad599e2b |
3693 | } |
3694 | } |
3695 | if (last_cages) |
3696 | free_block_structure(last_cages); |
3697 | if (good_cages != NULL) { |
3698 | free_block_structure(kblocks); |
3699 | kblocks = good_cages; |
3700 | compute_kclues(kblocks, kgrid, grid2, area); |
3701 | memset(grid, 0, area * sizeof *grid); |
3702 | break; |
3703 | } |
3704 | continue; |
3705 | } |
7c568a48 |
3706 | |
1af60e1e |
3707 | /* |
3708 | * Find the set of equivalence classes of squares permitted |
3709 | * by the selected symmetry. We do this by enumerating all |
3710 | * the grid squares which have no symmetric companion |
3711 | * sorting lower than themselves. |
3712 | */ |
3713 | nlocs = 0; |
3714 | for (y = 0; y < cr; y++) |
3715 | for (x = 0; x < cr; x++) { |
3716 | int i = y*cr+x; |
3717 | int j; |
7c568a48 |
3718 | |
1af60e1e |
3719 | ncoords = symmetries(params, x, y, coords, params->symm); |
3720 | for (j = 0; j < ncoords; j++) |
3721 | if (coords[2*j+1]*cr+coords[2*j] < i) |
3722 | break; |
3723 | if (j == ncoords) { |
154bf9b1 |
3724 | locs[nlocs].x = x; |
3725 | locs[nlocs].y = y; |
3726 | nlocs++; |
3727 | } |
3728 | } |
7c568a48 |
3729 | |
1af60e1e |
3730 | /* |
3731 | * Now shuffle that list. |
3732 | */ |
3733 | shuffle(locs, nlocs, sizeof(*locs), rs); |
de60d8bd |
3734 | |
1af60e1e |
3735 | /* |
3736 | * Now loop over the shuffled list and, for each element, |
3737 | * see whether removing that element (and its reflections) |
3738 | * from the grid will still leave the grid soluble. |
3739 | */ |
3740 | for (i = 0; i < nlocs; i++) { |
1af60e1e |
3741 | x = locs[i].x; |
3742 | y = locs[i].y; |
7c568a48 |
3743 | |
1af60e1e |
3744 | memcpy(grid2, grid, area); |
3745 | ncoords = symmetries(params, x, y, coords, params->symm); |
3746 | for (j = 0; j < ncoords; j++) |
3747 | grid2[coords[2*j+1]*cr+coords[2*j]] = 0; |
7c568a48 |
3748 | |
ad599e2b |
3749 | solver(cr, blocks, kblocks, params->xtype, grid2, kgrid, &dlev); |
3750 | if (dlev.diff <= dlev.maxdiff && |
3751 | (!params->killer || dlev.kdiff <= dlev.maxkdiff)) { |
1af60e1e |
3752 | for (j = 0; j < ncoords; j++) |
3753 | grid[coords[2*j+1]*cr+coords[2*j]] = 0; |
7c568a48 |
3754 | } |
3755 | } |
1d8e8ad8 |
3756 | |
7c568a48 |
3757 | memcpy(grid2, grid, area); |
ad599e2b |
3758 | |
3759 | solver(cr, blocks, kblocks, params->xtype, grid2, kgrid, &dlev); |
3760 | if (dlev.diff == dlev.maxdiff && |
3761 | (!params->killer || dlev.kdiff == dlev.maxkdiff)) |
fbd0fc79 |
3762 | break; /* found one! */ |
3763 | } |
1d8e8ad8 |
3764 | |
1d8e8ad8 |
3765 | sfree(grid2); |
3766 | sfree(locs); |
3767 | |
1d8e8ad8 |
3768 | /* |
3769 | * Now we have the grid as it will be presented to the user. |
1185e3c5 |
3770 | * Encode it in a game desc. |
1d8e8ad8 |
3771 | */ |
ad599e2b |
3772 | desc = encode_puzzle_desc(params, grid, blocks, kgrid, kblocks); |
3773 | |
3774 | sfree(grid); |
9a6d429a |
3775 | free_block_structure(blocks); |
3776 | if (params->killer) { |
3777 | free_block_structure(kblocks); |
3778 | sfree(kgrid); |
3779 | } |
ad599e2b |
3780 | |
3781 | return desc; |
3782 | } |
3783 | |
3784 | static char *spec_to_grid(char *desc, digit *grid, int area) |
3785 | { |
3786 | int i = 0; |
3787 | while (*desc && *desc != ',') { |
3788 | int n = *desc++; |
3789 | if (n >= 'a' && n <= 'z') { |
3790 | int run = n - 'a' + 1; |
3791 | assert(i + run <= area); |
3792 | while (run-- > 0) |
3793 | grid[i++] = 0; |
3794 | } else if (n == '_') { |
3795 | /* do nothing */; |
3796 | } else if (n > '0' && n <= '9') { |
3797 | assert(i < area); |
3798 | grid[i++] = atoi(desc-1); |
3799 | while (*desc >= '0' && *desc <= '9') |
3800 | desc++; |
3801 | } else { |
3802 | assert(!"We can't get here"); |
3803 | } |
3804 | } |
3805 | assert(i == area); |
3806 | return desc; |
3807 | } |
3808 | |
3809 | /* |
3810 | * Create a DSF from a spec found in *pdesc. Update this to point past the |
3811 | * end of the block spec, and return an error string or NULL if everything |
3812 | * is OK. The DSF is stored in *PDSF. |
3813 | */ |
3814 | static char *spec_to_dsf(char **pdesc, int **pdsf, int cr, int area) |
3815 | { |
3816 | char *desc = *pdesc; |
3817 | int pos = 0; |
3818 | int *dsf; |
3819 | |
3820 | *pdsf = dsf = snew_dsf(area); |
3821 | |
3822 | while (*desc && *desc != ',') { |
3823 | int c, adv; |
3824 | |
3825 | if (*desc == '_') |
3826 | c = 0; |
3827 | else if (*desc >= 'a' && *desc <= 'z') |
3828 | c = *desc - 'a' + 1; |
3829 | else { |
3830 | sfree(dsf); |
3831 | return "Invalid character in game description"; |
1d8e8ad8 |
3832 | } |
ad599e2b |
3833 | desc++; |
fbd0fc79 |
3834 | |
ad599e2b |
3835 | adv = (c != 25); /* 'z' is a special case */ |
fbd0fc79 |
3836 | |
ad599e2b |
3837 | while (c-- > 0) { |
3838 | int p0, p1; |
fbd0fc79 |
3839 | |
3840 | /* |
ad599e2b |
3841 | * Non-edge; merge the two dsf classes on either |
3842 | * side of it. |
fbd0fc79 |
3843 | */ |
ad599e2b |
3844 | assert(pos < 2*cr*(cr-1)); |
3845 | if (pos < cr*(cr-1)) { |
3846 | int y = pos/(cr-1); |
3847 | int x = pos%(cr-1); |
3848 | p0 = y*cr+x; |
3849 | p1 = y*cr+x+1; |
3850 | } else { |
3851 | int x = pos/(cr-1) - cr; |
3852 | int y = pos%(cr-1); |
3853 | p0 = y*cr+x; |
3854 | p1 = (y+1)*cr+x; |
fbd0fc79 |
3855 | } |
ad599e2b |
3856 | dsf_merge(dsf, p0, p1); |
fbd0fc79 |
3857 | |
ad599e2b |
3858 | pos++; |
3859 | } |
3860 | if (adv) |
3861 | pos++; |
1d8e8ad8 |
3862 | } |
ad599e2b |
3863 | *pdesc = desc; |
1d8e8ad8 |
3864 | |
ad599e2b |
3865 | /* |
3866 | * When desc is exhausted, we expect to have gone exactly |
3867 | * one space _past_ the end of the grid, due to the dummy |
3868 | * edge at the end. |
3869 | */ |
3870 | if (pos != 2*cr*(cr-1)+1) { |
3871 | sfree(dsf); |
3872 | return "Not enough data in block structure specification"; |
3873 | } |
1d8e8ad8 |
3874 | |
ad599e2b |
3875 | return NULL; |
1d8e8ad8 |
3876 | } |
3877 | |
ad599e2b |
3878 | static char *validate_grid_desc(char **pdesc, int range, int area) |
1d8e8ad8 |
3879 | { |
ad599e2b |
3880 | char *desc = *pdesc; |
1d8e8ad8 |
3881 | int squares = 0; |
fbd0fc79 |
3882 | while (*desc && *desc != ',') { |
1185e3c5 |
3883 | int n = *desc++; |
1d8e8ad8 |
3884 | if (n >= 'a' && n <= 'z') { |
3885 | squares += n - 'a' + 1; |
3886 | } else if (n == '_') { |
3887 | /* do nothing */; |
3888 | } else if (n > '0' && n <= '9') { |
d0ed57cd |
3889 | int val = atoi(desc-1); |
ad599e2b |
3890 | if (val < 1 || val > range) |
d0ed57cd |
3891 | return "Out-of-range number in game description"; |
1d8e8ad8 |
3892 | squares++; |
1185e3c5 |
3893 | while (*desc >= '0' && *desc <= '9') |
3894 | desc++; |
1d8e8ad8 |
3895 | } else |
1185e3c5 |
3896 | return "Invalid character in game description"; |
1d8e8ad8 |
3897 | } |
3898 | |
3899 | if (squares < area) |
3900 | return "Not enough data to fill grid"; |
3901 | |
3902 | if (squares > area) |
3903 | return "Too much data to fit in grid"; |
ad599e2b |
3904 | *pdesc = desc; |
3905 | return NULL; |
3906 | } |
1d8e8ad8 |
3907 | |
ad599e2b |
3908 | static char *validate_block_desc(char **pdesc, int cr, int area, |
3909 | int min_nr_blocks, int max_nr_blocks, |
3910 | int min_nr_squares, int max_nr_squares) |
3911 | { |
3912 | char *err; |
3913 | int *dsf; |
fbd0fc79 |
3914 | |
ad599e2b |
3915 | err = spec_to_dsf(pdesc, &dsf, cr, area); |
3916 | if (err) { |
3917 | return err; |
3918 | } |
fbd0fc79 |
3919 | |
ad599e2b |
3920 | if (min_nr_squares == max_nr_squares) { |
3921 | assert(min_nr_blocks == max_nr_blocks); |
3922 | assert(min_nr_blocks * min_nr_squares == area); |
3923 | } |
3924 | /* |
3925 | * Now we've got our dsf. Verify that it matches |
3926 | * expectations. |
3927 | */ |
3928 | { |
3929 | int *canons, *counts; |
3930 | int i, j, c, ncanons = 0; |
fbd0fc79 |
3931 | |
ad599e2b |
3932 | canons = snewn(max_nr_blocks, int); |
3933 | counts = snewn(max_nr_blocks, int); |
fbd0fc79 |
3934 | |
ad599e2b |
3935 | for (i = 0; i < area; i++) { |
3936 | j = dsf_canonify(dsf, i); |
fbd0fc79 |
3937 | |
ad599e2b |
3938 | for (c = 0; c < ncanons; c++) |
3939 | if (canons[c] == j) { |
3940 | counts[c]++; |
3941 | if (counts[c] > max_nr_squares) { |
3942 | sfree(dsf); |
3943 | sfree(canons); |
3944 | sfree(counts); |
3945 | return "A jigsaw block is too big"; |
3946 | } |
3947 | break; |
3948 | } |
fbd0fc79 |
3949 | |
ad599e2b |
3950 | if (c == ncanons) { |
3951 | if (ncanons >= max_nr_blocks) { |
fbd0fc79 |
3952 | sfree(dsf); |
ad599e2b |
3953 | sfree(canons); |
3954 | sfree(counts); |
3955 | return "Too many distinct jigsaw blocks"; |
fbd0fc79 |
3956 | } |
ad599e2b |
3957 | canons[ncanons] = j; |
3958 | counts[ncanons] = 1; |
3959 | ncanons++; |
fbd0fc79 |
3960 | } |
fbd0fc79 |
3961 | } |
3962 | |
ad599e2b |
3963 | if (ncanons < min_nr_blocks) { |
fbd0fc79 |
3964 | sfree(dsf); |
ad599e2b |
3965 | sfree(canons); |
3966 | sfree(counts); |
3967 | return "Not enough distinct jigsaw blocks"; |
fbd0fc79 |
3968 | } |
ad599e2b |
3969 | for (c = 0; c < ncanons; c++) { |
3970 | if (counts[c] < min_nr_squares) { |
3971 | sfree(dsf); |
3972 | sfree(canons); |
3973 | sfree(counts); |
3974 | return "A jigsaw block is too small"; |
3975 | } |
3976 | } |
3977 | sfree(canons); |
3978 | sfree(counts); |
3979 | } |
fbd0fc79 |
3980 | |
ad599e2b |
3981 | sfree(dsf); |
3982 | return NULL; |
3983 | } |
fbd0fc79 |
3984 | |
ad599e2b |
3985 | static char *validate_desc(game_params *params, char *desc) |
3986 | { |
3987 | int cr = params->c * params->r, area = cr*cr; |
3988 | char *err; |
fbd0fc79 |
3989 | |
ad599e2b |
3990 | err = validate_grid_desc(&desc, cr, area); |
3991 | if (err) |
3992 | return err; |
fbd0fc79 |
3993 | |
ad599e2b |
3994 | if (params->r == 1) { |
3995 | /* |
3996 | * Now we expect a suffix giving the jigsaw block |
3997 | * structure. Parse it and validate that it divides the |
3998 | * grid into the right number of regions which are the |
3999 | * right size. |
4000 | */ |
4001 | if (*desc != ',') |
4002 | return "Expected jigsaw block structure in game description"; |
4003 | desc++; |
4004 | err = validate_block_desc(&desc, cr, area, cr, cr, cr, cr); |
4005 | if (err) |
4006 | return err; |
fbd0fc79 |
4007 | |
fbd0fc79 |
4008 | } |
ad599e2b |
4009 | if (params->killer) { |
4010 | if (*desc != ',') |
4011 | return "Expected killer block structure in game description"; |
4012 | desc++; |
4013 | err = validate_block_desc(&desc, cr, area, cr, area, 2, cr); |
4014 | if (err) |
4015 | return err; |
4016 | if (*desc != ',') |
4017 | return "Expected killer clue grid in game description"; |
4018 | desc++; |
4019 | err = validate_grid_desc(&desc, cr * area, area); |
4020 | if (err) |
4021 | return err; |
4022 | } |
4023 | if (*desc) |
4024 | return "Unexpected data at end of game description"; |
fbd0fc79 |
4025 | |
1d8e8ad8 |
4026 | return NULL; |
4027 | } |
4028 | |
dafd6cf6 |
4029 | static game_state *new_game(midend *me, game_params *params, char *desc) |
1d8e8ad8 |
4030 | { |
4031 | game_state *state = snew(game_state); |
4032 | int c = params->c, r = params->r, cr = c*r, area = cr * cr; |
4033 | int i; |
4034 | |
ad599e2b |
4035 | precompute_sum_bits(); |
4036 | |
fbd0fc79 |
4037 | state->cr = cr; |
4038 | state->xtype = params->xtype; |
ad599e2b |
4039 | state->killer = params->killer; |
1d8e8ad8 |
4040 | |
4041 | state->grid = snewn(area, digit); |
c8266e03 |
4042 | state->pencil = snewn(area * cr, unsigned char); |
4043 | memset(state->pencil, 0, area * cr); |
1d8e8ad8 |
4044 | state->immutable = snewn(area, unsigned char); |
4045 | memset(state->immutable, FALSE, area); |
4046 | |
ad599e2b |
4047 | state->blocks = alloc_block_structure (c, r, area, cr, cr); |
fbd0fc79 |
4048 | |
ad599e2b |
4049 | if (params->killer) { |
4050 | state->kblocks = alloc_block_structure (c, r, area, cr, area); |
4051 | state->kgrid = snewn(area, digit); |
4052 | } else { |
4053 | state->kblocks = NULL; |
4054 | state->kgrid = NULL; |
4055 | } |
2ac6d24e |
4056 | state->completed = state->cheated = FALSE; |
1d8e8ad8 |
4057 | |
ad599e2b |
4058 | desc = spec_to_grid(desc, state->grid, area); |
4059 | for (i = 0; i < area; i++) |
4060 | if (state->grid[i] != 0) |
1d8e8ad8 |
4061 | state->immutable[i] = TRUE; |
1d8e8ad8 |
4062 | |
fbd0fc79 |
4063 | if (r == 1) { |
ad599e2b |
4064 | char *err; |
fbd0fc79 |
4065 | int *dsf; |
fbd0fc79 |
4066 | assert(*desc == ','); |
fbd0fc79 |
4067 | desc++; |
ad599e2b |
4068 | err = spec_to_dsf(&desc, &dsf, cr, area); |
4069 | assert(err == NULL); |
4070 | dsf_to_blocks(dsf, state->blocks, cr, cr); |
fbd0fc79 |
4071 | sfree(dsf); |
4072 | } else { |
4073 | int x, y; |
4074 | |
fbd0fc79 |
4075 | for (y = 0; y < cr; y++) |
4076 | for (x = 0; x < cr; x++) |
4077 | state->blocks->whichblock[y*cr+x] = (y/c) * c + (x/r); |
4078 | } |
ad599e2b |
4079 | make_blocks_from_whichblock(state->blocks); |
fbd0fc79 |
4080 | |
ad599e2b |
4081 | if (params->killer) { |
4082 | char *err; |
4083 | int *dsf; |
4084 | assert(*desc == ','); |
4085 | desc++; |
4086 | err = spec_to_dsf(&desc, &dsf, cr, area); |
4087 | assert(err == NULL); |
4088 | dsf_to_blocks(dsf, state->kblocks, cr, area); |
4089 | sfree(dsf); |
4090 | make_blocks_from_whichblock(state->kblocks); |
4091 | |
4092 | assert(*desc == ','); |
4093 | desc++; |
4094 | desc = spec_to_grid(desc, state->kgrid, area); |
fbd0fc79 |
4095 | } |
ad599e2b |
4096 | assert(!*desc); |
fbd0fc79 |
4097 | |
4098 | #ifdef STANDALONE_SOLVER |
4099 | /* |
4100 | * Set up the block names for solver diagnostic output. |
4101 | */ |
4102 | { |
4103 | char *p = (char *)(state->blocks->blocknames + cr); |
4104 | |
4105 | if (r == 1) { |
fbd0fc79 |
4106 | for (i = 0; i < area; i++) { |
4107 | int j = state->blocks->whichblock[i]; |
4108 | if (!state->blocks->blocknames[j]) { |
4109 | state->blocks->blocknames[j] = p; |
4110 | p += 1 + sprintf(p, "starting at (%d,%d)", |
4111 | 1 + i%cr, 1 + i/cr); |
4112 | } |
4113 | } |
4114 | } else { |
4115 | int bx, by; |
4116 | for (by = 0; by < r; by++) |
4117 | for (bx = 0; bx < c; bx++) { |
4118 | state->blocks->blocknames[by*c+bx] = p; |
4119 | p += 1 + sprintf(p, "(%d,%d)", bx+1, by+1); |
4120 | } |
4121 | } |
b63898fe |
4122 | assert(p - (char *)state->blocks->blocknames < (int)(cr*(sizeof(char *)+80))); |
fbd0fc79 |
4123 | for (i = 0; i < cr; i++) |
4124 | assert(state->blocks->blocknames[i]); |
4125 | } |
4126 | #endif |
4127 | |
1d8e8ad8 |
4128 | return state; |
4129 | } |
4130 | |
4131 | static game_state *dup_game(game_state *state) |
4132 | { |
4133 | game_state *ret = snew(game_state); |
fbd0fc79 |
4134 | int cr = state->cr, area = cr * cr; |
1d8e8ad8 |
4135 | |
fbd0fc79 |
4136 | ret->cr = state->cr; |
4137 | ret->xtype = state->xtype; |
ad599e2b |
4138 | ret->killer = state->killer; |
fbd0fc79 |
4139 | |
4140 | ret->blocks = state->blocks; |
4141 | ret->blocks->refcount++; |
1d8e8ad8 |
4142 | |
ad599e2b |
4143 | ret->kblocks = state->kblocks; |
4144 | if (ret->kblocks) |
4145 | ret->kblocks->refcount++; |
4146 | |
1d8e8ad8 |
4147 | ret->grid = snewn(area, digit); |
4148 | memcpy(ret->grid, state->grid, area); |
4149 | |
ad599e2b |
4150 | if (state->killer) { |
4151 | ret->kgrid = snewn(area, digit); |
4152 | memcpy(ret->kgrid, state->kgrid, area); |
4153 | } else |
4154 | ret->kgrid = NULL; |
4155 | |
c8266e03 |
4156 | ret->pencil = snewn(area * cr, unsigned char); |
4157 | memcpy(ret->pencil, state->pencil, area * cr); |
4158 | |
1d8e8ad8 |
4159 | ret->immutable = snewn(area, unsigned char); |
4160 | memcpy(ret->immutable, state->immutable, area); |
4161 | |
4162 | ret->completed = state->completed; |
2ac6d24e |
4163 | ret->cheated = state->cheated; |
1d8e8ad8 |
4164 | |
4165 | return ret; |
4166 | } |
4167 | |
4168 | static void free_game(game_state *state) |
4169 | { |
ad599e2b |
4170 | free_block_structure(state->blocks); |
4171 | if (state->kblocks) |
4172 | free_block_structure(state->kblocks); |
4173 | |
1d8e8ad8 |
4174 | sfree(state->immutable); |
c8266e03 |
4175 | sfree(state->pencil); |
1d8e8ad8 |
4176 | sfree(state->grid); |
9a6d429a |
4177 | if (state->kgrid) sfree(state->kgrid); |
1d8e8ad8 |
4178 | sfree(state); |
4179 | } |
4180 | |
df11cd4e |
4181 | static char *solve_game(game_state *state, game_state *currstate, |
c566778e |
4182 | char *ai, char **error) |
2ac6d24e |
4183 | { |
fbd0fc79 |
4184 | int cr = state->cr; |
c566778e |
4185 | char *ret; |
df11cd4e |
4186 | digit *grid; |
ad599e2b |
4187 | struct difficulty dlev; |
2ac6d24e |
4188 | |
3220eba4 |
4189 | /* |
c566778e |
4190 | * If we already have the solution in ai, save ourselves some |
4191 | * time. |
3220eba4 |
4192 | */ |
c566778e |
4193 | if (ai) |
4194 | return dupstr(ai); |
3220eba4 |
4195 | |
c566778e |
4196 | grid = snewn(cr*cr, digit); |
4197 | memcpy(grid, state->grid, cr*cr); |
ad599e2b |
4198 | dlev.maxdiff = DIFF_RECURSIVE; |
4199 | dlev.maxkdiff = DIFF_KINTERSECT; |
4200 | solver(cr, state->blocks, state->kblocks, state->xtype, grid, |
4201 | state->kgrid, &dlev); |
ab362080 |
4202 | |
4203 | *error = NULL; |
df11cd4e |
4204 | |
ad599e2b |
4205 | if (dlev.diff == DIFF_IMPOSSIBLE) |
ab362080 |
4206 | *error = "No solution exists for this puzzle"; |
ad599e2b |
4207 | else if (dlev.diff == DIFF_AMBIGUOUS) |
ab362080 |
4208 | *error = "Multiple solutions exist for this puzzle"; |
4209 | |
4210 | if (*error) { |
c566778e |
4211 | sfree(grid); |
c566778e |
4212 | return NULL; |
df11cd4e |
4213 | } |
4214 | |
c566778e |
4215 | ret = encode_solve_move(cr, grid); |
df11cd4e |
4216 | |
c566778e |
4217 | sfree(grid); |
2ac6d24e |
4218 | |
4219 | return ret; |
4220 | } |
4221 | |
fbd0fc79 |
4222 | static char *grid_text_format(int cr, struct block_structure *blocks, |
4223 | int xtype, digit *grid) |
9b4b03d3 |
4224 | { |
fbd0fc79 |
4225 | int vmod, hmod; |
9b4b03d3 |
4226 | int x, y; |
fbd0fc79 |
4227 | int totallen, linelen, nlines; |
4228 | char *ret, *p, ch; |
9b4b03d3 |
4229 | |
4230 | /* |
fbd0fc79 |
4231 | * For non-jigsaw Sudoku, we format in the way we always have, |
4232 | * by having the digits unevenly spaced so that the dividing |
4233 | * lines can fit in: |
4234 | * |
4235 | * . . | . . |
4236 | * . . | . . |
4237 | * ----+---- |
4238 | * . . | . . |
4239 | * . . | . . |
4240 | * |
4241 | * For jigsaw puzzles, however, we must leave space between |
4242 | * _all_ pairs of digits for an optional dividing line, so we |
4243 | * have to move to the rather ugly |
4244 | * |
4245 | * . . . . |
4246 | * ------+------ |
4247 | * . . | . . |
4248 | * +---+ |
4249 | * . . | . | . |
4250 | * ------+ | |
4251 | * . . . | . |
4252 | * |
4253 | * We deal with both cases using the same formatting code; we |
4254 | * simply invent a vmod value such that there's a vertical |
4255 | * dividing line before column i iff i is divisible by vmod |
4256 | * (so it's r in the first case and 1 in the second), and hmod |
4257 | * likewise for horizontal dividing lines. |
9b4b03d3 |
4258 | */ |
9b4b03d3 |
4259 | |
fbd0fc79 |
4260 | if (blocks->r != 1) { |
4261 | vmod = blocks->r; |
4262 | hmod = blocks->c; |
4263 | } else { |
4264 | vmod = hmod = 1; |
4265 | } |
4266 | |
4267 | /* |
4268 | * Line length: we have cr digits, each with a space after it, |
4269 | * and (cr-1)/vmod dividing lines, each with a space after it. |
4270 | * The final space is replaced by a newline, but that doesn't |
4271 | * affect the length. |
4272 | */ |
4273 | linelen = 2*(cr + (cr-1)/vmod); |
4274 | |
4275 | /* |
4276 | * Number of lines: we have cr rows of digits, and (cr-1)/hmod |
4277 | * dividing rows. |
4278 | */ |
4279 | nlines = cr + (cr-1)/hmod; |
4280 | |
4281 | /* |
4282 | * Allocate the space. |
4283 | */ |
4284 | totallen = linelen * nlines; |
4285 | ret = snewn(totallen+1, char); /* leave room for terminating NUL */ |
4286 | |
4287 | /* |
4288 | * Write the text. |
4289 | */ |
4290 | p = ret; |
9b4b03d3 |
4291 | for (y = 0; y < cr; y++) { |
fbd0fc79 |
4292 | /* |
4293 | * Row of digits. |
4294 | */ |
4295 | for (x = 0; x < cr; x++) { |
4296 | /* |
4297 | * Digit. |
4298 | */ |
4299 | digit d = grid[y*cr+x]; |
4300 | |
4301 | if (d == 0) { |
4302 | /* |
4303 | * Empty space: we usually write a dot, but we'll |
4304 | * highlight spaces on the X-diagonals (in X mode) |
4305 | * by using underscores instead. |
4306 | */ |
4307 | if (xtype && (ondiag0(y*cr+x) || ondiag1(y*cr+x))) |
4308 | ch = '_'; |
4309 | else |
4310 | ch = '.'; |
4311 | } else if (d <= 9) { |
4312 | ch = '0' + d; |
4313 | } else { |
4314 | ch = 'a' + d-10; |
4315 | } |
4316 | |
4317 | *p++ = ch; |
4318 | if (x == cr-1) { |
4319 | *p++ = '\n'; |
4320 | continue; |
4321 | } |
4322 | *p++ = ' '; |
4323 | |
4324 | if ((x+1) % vmod) |
4325 | continue; |
4326 | |
4327 | /* |
4328 | * Optional dividing line. |
4329 | */ |
4330 | if (blocks->whichblock[y*cr+x] != blocks->whichblock[y*cr+x+1]) |
4331 | ch = '|'; |
4332 | else |
4333 | ch = ' '; |
4334 | *p++ = ch; |
4335 | *p++ = ' '; |
4336 | } |
4337 | if (y == cr-1 || (y+1) % hmod) |
4338 | continue; |
4339 | |
4340 | /* |
4341 | * Dividing row. |
4342 | */ |
4343 | for (x = 0; x < cr; x++) { |
4344 | int dwid; |
4345 | int tl, tr, bl, br; |
4346 | |
4347 | /* |
4348 | * Division between two squares. This varies |
4349 | * complicatedly in length. |
4350 | */ |
4351 | dwid = 2; /* digit and its following space */ |
4352 | if (x == cr-1) |
4353 | dwid--; /* no following space at end of line */ |
4354 | if (x > 0 && x % vmod == 0) |
4355 | dwid++; /* preceding space after a divider */ |
4356 | |
4357 | if (blocks->whichblock[y*cr+x] != blocks->whichblock[(y+1)*cr+x]) |
4358 | ch = '-'; |
4359 | else |
4360 | ch = ' '; |
4361 | |
4362 | while (dwid-- > 0) |
4363 | *p++ = ch; |
4364 | |
4365 | if (x == cr-1) { |
4366 | *p++ = '\n'; |
4367 | break; |
4368 | } |
4369 | |
4370 | if ((x+1) % vmod) |
4371 | continue; |
4372 | |
4373 | /* |
4374 | * Corner square. This is: |
4375 | * - a space if all four surrounding squares are in |
4376 | * the same block |
4377 | * - a vertical line if the two left ones are in one |
4378 | * block and the two right in another |
4379 | * - a horizontal line if the two top ones are in one |
4380 | * block and the two bottom in another |
4381 | * - a plus sign in all other cases. (If we had a |
4382 | * richer character set available we could break |
4383 | * this case up further by doing fun things with |
4384 | * line-drawing T-pieces.) |
4385 | */ |
4386 | tl = blocks->whichblock[y*cr+x]; |
4387 | tr = blocks->whichblock[y*cr+x+1]; |
4388 | bl = blocks->whichblock[(y+1)*cr+x]; |
4389 | br = blocks->whichblock[(y+1)*cr+x+1]; |
4390 | |
4391 | if (tl == tr && tr == bl && bl == br) |
4392 | ch = ' '; |
4393 | else if (tl == bl && tr == br) |
4394 | ch = '|'; |
4395 | else if (tl == tr && bl == br) |
4396 | ch = '-'; |
4397 | else |
4398 | ch = '+'; |
4399 | |
4400 | *p++ = ch; |
4401 | } |
9b4b03d3 |
4402 | } |
4403 | |
fbd0fc79 |
4404 | assert(p - ret == totallen); |
9b4b03d3 |
4405 | *p = '\0'; |
4406 | return ret; |
4407 | } |
4408 | |
fa3abef5 |
4409 | static int game_can_format_as_text_now(game_params *params) |
4410 | { |
ad599e2b |
4411 | /* |
4412 | * Formatting Killer puzzles as text is currently unsupported. I |
4413 | * can't think of any sensible way of doing it which doesn't |
4414 | * involve expanding the puzzle to such a large scale as to make |
4415 | * it unusable. |
4416 | */ |
4417 | if (params->killer) |
4418 | return FALSE; |
fa3abef5 |
4419 | return TRUE; |
4420 | } |
4421 | |
9b4b03d3 |
4422 | static char *game_text_format(game_state *state) |
4423 | { |
ad599e2b |
4424 | assert(!state->kblocks); |
fbd0fc79 |
4425 | return grid_text_format(state->cr, state->blocks, state->xtype, |
4426 | state->grid); |
9b4b03d3 |
4427 | } |
4428 | |
1d8e8ad8 |
4429 | struct game_ui { |
4430 | /* |
4431 | * These are the coordinates of the currently highlighted |
b63898fe |
4432 | * square on the grid, if hshow = 1. |
1d8e8ad8 |
4433 | */ |
4434 | int hx, hy; |
c8266e03 |
4435 | /* |
4436 | * This indicates whether the current highlight is a |
4437 | * pencil-mark one or a real one. |
4438 | */ |
4439 | int hpencil; |
b63898fe |
4440 | /* |
4441 | * This indicates whether or not we're showing the highlight |
4442 | * (used to be hx = hy = -1); important so that when we're |
4443 | * using the cursor keys it doesn't keep coming back at a |
4444 | * fixed position. When hshow = 1, pressing a valid number |
4445 | * or letter key or Space will enter that number or letter in the grid. |
4446 | */ |
4447 | int hshow; |
4448 | /* |
4449 | * This indicates whether we're using the highlight as a cursor; |
4450 | * it means that it doesn't vanish on a keypress, and that it is |
4451 | * allowed on immutable squares. |
4452 | */ |
4453 | int hcursor; |
1d8e8ad8 |
4454 | }; |
4455 | |
4456 | static game_ui *new_ui(game_state *state) |
4457 | { |
4458 | game_ui *ui = snew(game_ui); |
4459 | |
b63898fe |
4460 | ui->hx = ui->hy = 0; |
4461 | ui->hpencil = ui->hshow = ui->hcursor = 0; |
1d8e8ad8 |
4462 | |
4463 | return ui; |
4464 | } |
4465 | |
4466 | static void free_ui(game_ui *ui) |
4467 | { |
4468 | sfree(ui); |
4469 | } |
4470 | |
844f605f |
4471 | static char *encode_ui(game_ui *ui) |
ae8290c6 |
4472 | { |
4473 | return NULL; |
4474 | } |
4475 | |
844f605f |
4476 | static void decode_ui(game_ui *ui, char *encoding) |
ae8290c6 |
4477 | { |
4478 | } |
4479 | |
07dfb697 |
4480 | static void game_changed_state(game_ui *ui, game_state *oldstate, |
4481 | game_state *newstate) |
4482 | { |
fbd0fc79 |
4483 | int cr = newstate->cr; |
07dfb697 |
4484 | /* |
b63898fe |
4485 | * We prevent pencil-mode highlighting of a filled square, unless |
4486 | * we're using the cursor keys. So if the user has just filled in |
4487 | * a square which we had a pencil-mode highlight in (by Undo, or |
4488 | * by Redo, or by Solve), then we cancel the highlight. |
07dfb697 |
4489 | */ |
b63898fe |
4490 | if (ui->hshow && ui->hpencil && !ui->hcursor && |
07dfb697 |
4491 | newstate->grid[ui->hy * cr + ui->hx] != 0) { |
b63898fe |
4492 | ui->hshow = 0; |
07dfb697 |
4493 | } |
4494 | } |
4495 | |
1e3e152d |
4496 | struct game_drawstate { |
4497 | int started; |
fbd0fc79 |
4498 | int cr, xtype; |
1e3e152d |
4499 | int tilesize; |
4500 | digit *grid; |
4501 | unsigned char *pencil; |
4502 | unsigned char *hl; |
4503 | /* This is scratch space used within a single call to game_redraw. */ |
997065cf |
4504 | int nregions, *entered_items; |
1e3e152d |
4505 | }; |
4506 | |
df11cd4e |
4507 | static char *interpret_move(game_state *state, game_ui *ui, game_drawstate *ds, |
4508 | int x, int y, int button) |
1d8e8ad8 |
4509 | { |
fbd0fc79 |
4510 | int cr = state->cr; |
1d8e8ad8 |
4511 | int tx, ty; |
df11cd4e |
4512 | char buf[80]; |
1d8e8ad8 |
4513 | |
f0ee053c |
4514 | button &= ~MOD_MASK; |
3c833d45 |
4515 | |
ae812854 |
4516 | tx = (x + TILE_SIZE - BORDER) / TILE_SIZE - 1; |
4517 | ty = (y + TILE_SIZE - BORDER) / TILE_SIZE - 1; |
1d8e8ad8 |
4518 | |
39d682c9 |
4519 | if (tx >= 0 && tx < cr && ty >= 0 && ty < cr) { |
4520 | if (button == LEFT_BUTTON) { |
df11cd4e |
4521 | if (state->immutable[ty*cr+tx]) { |
b63898fe |
4522 | ui->hshow = 0; |
4523 | } else if (tx == ui->hx && ty == ui->hy && |
4524 | ui->hshow && ui->hpencil == 0) { |
4525 | ui->hshow = 0; |
39d682c9 |
4526 | } else { |
4527 | ui->hx = tx; |
4528 | ui->hy = ty; |
b63898fe |
4529 | ui->hshow = 1; |
39d682c9 |
4530 | ui->hpencil = 0; |
4531 | } |
b63898fe |
4532 | ui->hcursor = 0; |
df11cd4e |
4533 | return ""; /* UI activity occurred */ |
39d682c9 |
4534 | } |
4535 | if (button == RIGHT_BUTTON) { |
4536 | /* |
4537 | * Pencil-mode highlighting for non filled squares. |
4538 | */ |
df11cd4e |
4539 | if (state->grid[ty*cr+tx] == 0) { |
b63898fe |
4540 | if (tx == ui->hx && ty == ui->hy && |
4541 | ui->hshow && ui->hpencil) { |
4542 | ui->hshow = 0; |
39d682c9 |
4543 | } else { |
4544 | ui->hpencil = 1; |
4545 | ui->hx = tx; |
4546 | ui->hy = ty; |
b63898fe |
4547 | ui->hshow = 1; |
39d682c9 |
4548 | } |
4549 | } else { |
b63898fe |
4550 | ui->hshow = 0; |
39d682c9 |
4551 | } |
b63898fe |
4552 | ui->hcursor = 0; |
df11cd4e |
4553 | return ""; /* UI activity occurred */ |
39d682c9 |
4554 | } |
1d8e8ad8 |
4555 | } |
b63898fe |
4556 | if (IS_CURSOR_MOVE(button)) { |
4557 | move_cursor(button, &ui->hx, &ui->hy, cr, cr, 0); |
4558 | ui->hshow = ui->hcursor = 1; |
4559 | return ""; |
4560 | } |
4561 | if (ui->hshow && |
4562 | (button == CURSOR_SELECT)) { |
4563 | ui->hpencil = 1 - ui->hpencil; |
4564 | ui->hcursor = 1; |
4565 | return ""; |
4566 | } |
1d8e8ad8 |
4567 | |
b63898fe |
4568 | if (ui->hshow && |
4569 | ((button >= '0' && button <= '9' && button - '0' <= cr) || |
1d8e8ad8 |
4570 | (button >= 'a' && button <= 'z' && button - 'a' + 10 <= cr) || |
4571 | (button >= 'A' && button <= 'Z' && button - 'A' + 10 <= cr) || |
7b97f218 |
4572 | button == CURSOR_SELECT2 || button == '\b')) { |
1d8e8ad8 |
4573 | int n = button - '0'; |
4574 | if (button >= 'A' && button <= 'Z') |
4575 | n = button - 'A' + 10; |
4576 | if (button >= 'a' && button <= 'z') |
4577 | n = button - 'a' + 10; |
7b97f218 |
4578 | if (button == CURSOR_SELECT2 || button == '\b') |
1d8e8ad8 |
4579 | n = 0; |
4580 | |
39d682c9 |
4581 | /* |
b63898fe |
4582 | * Can't overwrite this square. This can only happen here |
4583 | * if we're using the cursor keys. |
39d682c9 |
4584 | */ |
df11cd4e |
4585 | if (state->immutable[ui->hy*cr+ui->hx]) |
39d682c9 |
4586 | return NULL; |
1d8e8ad8 |
4587 | |
c8266e03 |
4588 | /* |
b63898fe |
4589 | * Can't make pencil marks in a filled square. Again, this |
4590 | * can only become highlighted if we're using cursor keys. |
c8266e03 |
4591 | */ |
df11cd4e |
4592 | if (ui->hpencil && state->grid[ui->hy*cr+ui->hx]) |
c8266e03 |
4593 | return NULL; |
4594 | |
df11cd4e |
4595 | sprintf(buf, "%c%d,%d,%d", |
871bf294 |
4596 | (char)(ui->hpencil && n > 0 ? 'P' : 'R'), ui->hx, ui->hy, n); |
df11cd4e |
4597 | |
b63898fe |
4598 | if (!ui->hcursor) ui->hshow = 0; |
df11cd4e |
4599 | |
4600 | return dupstr(buf); |
4601 | } |
4602 | |
4603 | return NULL; |
4604 | } |
4605 | |
4606 | static game_state *execute_move(game_state *from, char *move) |
4607 | { |
fbd0fc79 |
4608 | int cr = from->cr; |
df11cd4e |
4609 | game_state *ret; |
4610 | int x, y, n; |
4611 | |
4612 | if (move[0] == 'S') { |
4613 | char *p; |
4614 | |
1d8e8ad8 |
4615 | ret = dup_game(from); |
df11cd4e |
4616 | ret->completed = ret->cheated = TRUE; |
4617 | |
4618 | p = move+1; |
4619 | for (n = 0; n < cr*cr; n++) { |
4620 | ret->grid[n] = atoi(p); |
4621 | |
4622 | if (!*p || ret->grid[n] < 1 || ret->grid[n] > cr) { |
4623 | free_game(ret); |
4624 | return NULL; |
4625 | } |
4626 | |
4627 | while (*p && isdigit((unsigned char)*p)) p++; |
4628 | if (*p == ',') p++; |
4629 | } |
4630 | |
4631 | return ret; |
4632 | } else if ((move[0] == 'P' || move[0] == 'R') && |
4633 | sscanf(move+1, "%d,%d,%d", &x, &y, &n) == 3 && |
4634 | x >= 0 && x < cr && y >= 0 && y < cr && n >= 0 && n <= cr) { |
4635 | |
4636 | ret = dup_game(from); |
4637 | if (move[0] == 'P' && n > 0) { |
4638 | int index = (y*cr+x) * cr + (n-1); |
c8266e03 |
4639 | ret->pencil[index] = !ret->pencil[index]; |
4640 | } else { |
df11cd4e |
4641 | ret->grid[y*cr+x] = n; |
4642 | memset(ret->pencil + (y*cr+x)*cr, 0, cr); |
1d8e8ad8 |
4643 | |
c8266e03 |
4644 | /* |
4645 | * We've made a real change to the grid. Check to see |
4646 | * if the game has been completed. |
4647 | */ |
997065cf |
4648 | if (!ret->completed && check_valid(cr, ret->blocks, ret->kblocks, |
4649 | ret->xtype, ret->grid)) { |
c8266e03 |
4650 | ret->completed = TRUE; |
4651 | } |
4652 | } |
df11cd4e |
4653 | return ret; |
4654 | } else |
4655 | return NULL; /* couldn't parse move string */ |
1d8e8ad8 |
4656 | } |
4657 | |
4658 | /* ---------------------------------------------------------------------- |
4659 | * Drawing routines. |
4660 | */ |
4661 | |
1e3e152d |
4662 | #define SIZE(cr) ((cr) * TILE_SIZE + 2*BORDER + 1) |
871bf294 |
4663 | #define GETTILESIZE(cr, w) ( (double)(w-1) / (double)(cr+1) ) |
1d8e8ad8 |
4664 | |
1f3ee4ee |
4665 | static void game_compute_size(game_params *params, int tilesize, |
4666 | int *x, int *y) |
1d8e8ad8 |
4667 | { |
1f3ee4ee |
4668 | /* Ick: fake up `ds->tilesize' for macro expansion purposes */ |
4669 | struct { int tilesize; } ads, *ds = &ads; |
4670 | ads.tilesize = tilesize; |
1e3e152d |
4671 | |
1f3ee4ee |
4672 | *x = SIZE(params->c * params->r); |
4673 | *y = SIZE(params->c * params->r); |
4674 | } |
1d8e8ad8 |
4675 | |
dafd6cf6 |
4676 | static void game_set_size(drawing *dr, game_drawstate *ds, |
4677 | game_params *params, int tilesize) |
1f3ee4ee |
4678 | { |
4679 | ds->tilesize = tilesize; |
1d8e8ad8 |
4680 | } |
4681 | |
8266f3fc |
4682 | static float *game_colours(frontend *fe, int *ncolours) |
1d8e8ad8 |
4683 | { |
4684 | float *ret = snewn(3 * NCOLOURS, float); |
4685 | |
4686 | frontend_default_colour(fe, &ret[COL_BACKGROUND * 3]); |
4687 | |
fbd0fc79 |
4688 | ret[COL_XDIAGONALS * 3 + 0] = 0.9F * ret[COL_BACKGROUND * 3 + 0]; |
4689 | ret[COL_XDIAGONALS * 3 + 1] = 0.9F * ret[COL_BACKGROUND * 3 + 1]; |
4690 | ret[COL_XDIAGONALS * 3 + 2] = 0.9F * ret[COL_BACKGROUND * 3 + 2]; |
4691 | |
1d8e8ad8 |
4692 | ret[COL_GRID * 3 + 0] = 0.0F; |
4693 | ret[COL_GRID * 3 + 1] = 0.0F; |
4694 | ret[COL_GRID * 3 + 2] = 0.0F; |
4695 | |
4696 | ret[COL_CLUE * 3 + 0] = 0.0F; |
4697 | ret[COL_CLUE * 3 + 1] = 0.0F; |
4698 | ret[COL_CLUE * 3 + 2] = 0.0F; |
4699 | |
4700 | ret[COL_USER * 3 + 0] = 0.0F; |
4701 | ret[COL_USER * 3 + 1] = 0.6F * ret[COL_BACKGROUND * 3 + 1]; |
4702 | ret[COL_USER * 3 + 2] = 0.0F; |
4703 | |
fbd0fc79 |
4704 | ret[COL_HIGHLIGHT * 3 + 0] = 0.78F * ret[COL_BACKGROUND * 3 + 0]; |
4705 | ret[COL_HIGHLIGHT * 3 + 1] = 0.78F * ret[COL_BACKGROUND * 3 + 1]; |
4706 | ret[COL_HIGHLIGHT * 3 + 2] = 0.78F * ret[COL_BACKGROUND * 3 + 2]; |
1d8e8ad8 |
4707 | |
7b14a9ec |
4708 | ret[COL_ERROR * 3 + 0] = 1.0F; |
4709 | ret[COL_ERROR * 3 + 1] = 0.0F; |
4710 | ret[COL_ERROR * 3 + 2] = 0.0F; |
4711 | |
c8266e03 |
4712 | ret[COL_PENCIL * 3 + 0] = 0.5F * ret[COL_BACKGROUND * 3 + 0]; |
4713 | ret[COL_PENCIL * 3 + 1] = 0.5F * ret[COL_BACKGROUND * 3 + 1]; |
4714 | ret[COL_PENCIL * 3 + 2] = ret[COL_BACKGROUND * 3 + 2]; |
4715 | |
ad599e2b |
4716 | ret[COL_KILLER * 3 + 0] = 0.5F * ret[COL_BACKGROUND * 3 + 0]; |
4717 | ret[COL_KILLER * 3 + 1] = 0.5F * ret[COL_BACKGROUND * 3 + 1]; |
4718 | ret[COL_KILLER * 3 + 2] = 0.1F * ret[COL_BACKGROUND * 3 + 2]; |
4719 | |
1d8e8ad8 |
4720 | *ncolours = NCOLOURS; |
4721 | return ret; |
4722 | } |
4723 | |
dafd6cf6 |
4724 | static game_drawstate *game_new_drawstate(drawing *dr, game_state *state) |
1d8e8ad8 |
4725 | { |
4726 | struct game_drawstate *ds = snew(struct game_drawstate); |
fbd0fc79 |
4727 | int cr = state->cr; |
1d8e8ad8 |
4728 | |
4729 | ds->started = FALSE; |
1d8e8ad8 |
4730 | ds->cr = cr; |
fbd0fc79 |
4731 | ds->xtype = state->xtype; |
1d8e8ad8 |
4732 | ds->grid = snewn(cr*cr, digit); |
fbd0fc79 |
4733 | memset(ds->grid, cr+2, cr*cr); |
c8266e03 |
4734 | ds->pencil = snewn(cr*cr*cr, digit); |
4735 | memset(ds->pencil, 0, cr*cr*cr); |
1d8e8ad8 |
4736 | ds->hl = snewn(cr*cr, unsigned char); |
4737 | memset(ds->hl, 0, cr*cr); |
997065cf |
4738 | /* |
4739 | * ds->entered_items needs one row of cr entries per entity in |
4740 | * which digits may not be duplicated. That's one for each row, |
4741 | * each column, each block, each diagonal, and each Killer cage. |
4742 | */ |
4743 | ds->nregions = cr*3 + 2; |
4744 | if (state->kblocks) |
4745 | ds->nregions += state->kblocks->nr_blocks; |
4746 | ds->entered_items = snewn(cr * ds->nregions, int); |
1e3e152d |
4747 | ds->tilesize = 0; /* not decided yet */ |
1d8e8ad8 |
4748 | return ds; |
4749 | } |
4750 | |
dafd6cf6 |
4751 | static void game_free_drawstate(drawing *dr, game_drawstate *ds) |
1d8e8ad8 |
4752 | { |
4753 | sfree(ds->hl); |
c8266e03 |
4754 | sfree(ds->pencil); |
1d8e8ad8 |
4755 | sfree(ds->grid); |
b71dd7fc |
4756 | sfree(ds->entered_items); |
1d8e8ad8 |
4757 | sfree(ds); |
4758 | } |
4759 | |
dafd6cf6 |
4760 | static void draw_number(drawing *dr, game_drawstate *ds, game_state *state, |
1d8e8ad8 |
4761 | int x, int y, int hl) |
4762 | { |
fbd0fc79 |
4763 | int cr = state->cr; |
ad599e2b |
4764 | int tx, ty, tw, th; |
1d8e8ad8 |
4765 | int cx, cy, cw, ch; |
ad599e2b |
4766 | int col_killer = (hl & 32 ? COL_ERROR : COL_KILLER); |
4767 | char str[20]; |
1d8e8ad8 |
4768 | |
c8266e03 |
4769 | if (ds->grid[y*cr+x] == state->grid[y*cr+x] && |
4770 | ds->hl[y*cr+x] == hl && |
4771 | !memcmp(ds->pencil+(y*cr+x)*cr, state->pencil+(y*cr+x)*cr, cr)) |
1d8e8ad8 |
4772 | return; /* no change required */ |
4773 | |
fbd0fc79 |
4774 | tx = BORDER + x * TILE_SIZE + 1 + GRIDEXTRA; |
4775 | ty = BORDER + y * TILE_SIZE + 1 + GRIDEXTRA; |
1d8e8ad8 |
4776 | |
4777 | cx = tx; |
4778 | cy = ty; |
ad599e2b |
4779 | cw = tw = TILE_SIZE-1-2*GRIDEXTRA; |
4780 | ch = th = TILE_SIZE-1-2*GRIDEXTRA; |
fbd0fc79 |
4781 | |
4782 | if (x > 0 && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[y*cr+x-1]) |
4783 | cx -= GRIDEXTRA, cw += GRIDEXTRA; |
4784 | if (x+1 < cr && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[y*cr+x+1]) |
4785 | cw += GRIDEXTRA; |
4786 | if (y > 0 && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[(y-1)*cr+x]) |
4787 | cy -= GRIDEXTRA, ch += GRIDEXTRA; |
4788 | if (y+1 < cr && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[(y+1)*cr+x]) |
4789 | ch += GRIDEXTRA; |
1d8e8ad8 |
4790 | |
dafd6cf6 |
4791 | clip(dr, cx, cy, cw, ch); |
1d8e8ad8 |
4792 | |
c8266e03 |
4793 | /* background needs erasing */ |
fbd0fc79 |
4794 | draw_rect(dr, cx, cy, cw, ch, |
4795 | ((hl & 15) == 1 ? COL_HIGHLIGHT : |
4796 | (ds->xtype && (ondiag0(y*cr+x) || ondiag1(y*cr+x))) ? COL_XDIAGONALS : |
4797 | COL_BACKGROUND)); |
4798 | |
4799 | /* |
4800 | * Draw the corners of thick lines in corner-adjacent squares, |
4801 | * which jut into this square by one pixel. |
4802 | */ |
4803 | if (x > 0 && y > 0 && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y-1)*cr+x-1]) |
4804 | draw_rect(dr, tx-GRIDEXTRA, ty-GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
4805 | if (x+1 < cr && y > 0 && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y-1)*cr+x+1]) |
4806 | draw_rect(dr, tx+TILE_SIZE-1-2*GRIDEXTRA, ty-GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
4807 | if (x > 0 && y+1 < cr && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y+1)*cr+x-1]) |
4808 | draw_rect(dr, tx-GRIDEXTRA, ty+TILE_SIZE-1-2*GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
4809 | if (x+1 < cr && y+1 < cr && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y+1)*cr+x+1]) |
4810 | draw_rect(dr, tx+TILE_SIZE-1-2*GRIDEXTRA, ty+TILE_SIZE-1-2*GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
c8266e03 |
4811 | |
4812 | /* pencil-mode highlight */ |
7b14a9ec |
4813 | if ((hl & 15) == 2) { |
c8266e03 |
4814 | int coords[6]; |
4815 | coords[0] = cx; |
4816 | coords[1] = cy; |
4817 | coords[2] = cx+cw/2; |
4818 | coords[3] = cy; |
4819 | coords[4] = cx; |
4820 | coords[5] = cy+ch/2; |
dafd6cf6 |
4821 | draw_polygon(dr, coords, 3, COL_HIGHLIGHT, COL_HIGHLIGHT); |
c8266e03 |
4822 | } |
1d8e8ad8 |
4823 | |
ad599e2b |
4824 | if (state->kblocks) { |
4825 | int t = GRIDEXTRA * 3; |
d3cc1ab0 |
4826 | int kcx, kcy, kcw, kch; |
4827 | int kl, kt, kr, kb; |
ad599e2b |
4828 | int has_left = 0, has_right = 0, has_top = 0, has_bottom = 0; |
4829 | |
4830 | /* |
d3cc1ab0 |
4831 | * In non-jigsaw mode, the Killer cages are placed at a |
4832 | * fixed offset from the outer edge of the cell dividing |
4833 | * lines, so that they look right whether those lines are |
4834 | * thick or thin. In jigsaw mode, however, doing this will |
4835 | * sometimes cause the cage outlines in adjacent squares to |
4836 | * fail to match up with each other, so we must offset a |
4837 | * fixed amount from the _centre_ of the cell dividing |
4838 | * lines. |
4839 | */ |
4840 | if (state->blocks->r == 1) { |
4841 | kcx = tx; |
4842 | kcy = ty; |
4843 | kcw = tw; |
4844 | kch = th; |
4845 | } else { |
4846 | kcx = cx; |
4847 | kcy = cy; |
4848 | kcw = cw; |
4849 | kch = ch; |
4850 | } |
4851 | kl = kcx - 1; |
4852 | kt = kcy - 1; |
4853 | kr = kcx + kcw; |
4854 | kb = kcy + kch; |
4855 | |
4856 | /* |
ad599e2b |
4857 | * First, draw the lines dividing this area from neighbouring |
4858 | * different areas. |
4859 | */ |
4860 | if (x == 0 || state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[y*cr+x-1]) |
4861 | has_left = 1, kl += t; |
4862 | if (x+1 >= cr || state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[y*cr+x+1]) |
4863 | has_right = 1, kr -= t; |
4864 | if (y == 0 || state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[(y-1)*cr+x]) |
4865 | has_top = 1, kt += t; |
4866 | if (y+1 >= cr || state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[(y+1)*cr+x]) |
4867 | has_bottom = 1, kb -= t; |
4868 | if (has_top) |
4869 | draw_line(dr, kl, kt, kr, kt, col_killer); |
4870 | if (has_bottom) |
4871 | draw_line(dr, kl, kb, kr, kb, col_killer); |
4872 | if (has_left) |
4873 | draw_line(dr, kl, kt, kl, kb, col_killer); |
4874 | if (has_right) |
4875 | draw_line(dr, kr, kt, kr, kb, col_killer); |
4876 | /* |
4877 | * Now, take care of the corners (just as for the normal borders). |
4878 | * We only need a corner if there wasn't a full edge. |
4879 | */ |
4880 | if (x > 0 && y > 0 && !has_left && !has_top |
4881 | && state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[(y-1)*cr+x-1]) |
4882 | { |
4883 | draw_line(dr, kl, kt + t, kl + t, kt + t, col_killer); |
4884 | draw_line(dr, kl + t, kt, kl + t, kt + t, col_killer); |
4885 | } |
4886 | if (x+1 < cr && y > 0 && !has_right && !has_top |
4887 | && state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[(y-1)*cr+x+1]) |
4888 | { |
d3cc1ab0 |
4889 | draw_line(dr, kcx + kcw - t, kt + t, kcx + kcw, kt + t, col_killer); |
4890 | draw_line(dr, kcx + kcw - t, kt, kcx + kcw - t, kt + t, col_killer); |
ad599e2b |
4891 | } |
4892 | if (x > 0 && y+1 < cr && !has_left && !has_bottom |
4893 | && state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[(y+1)*cr+x-1]) |
4894 | { |
d3cc1ab0 |
4895 | draw_line(dr, kl, kcy + kch - t, kl + t, kcy + kch - t, col_killer); |
4896 | draw_line(dr, kl + t, kcy + kch - t, kl + t, kcy + kch, col_killer); |
ad599e2b |
4897 | } |
4898 | if (x+1 < cr && y+1 < cr && !has_right && !has_bottom |
4899 | && state->kblocks->whichblock[y*cr+x] != state->kblocks->whichblock[(y+1)*cr+x+1]) |
4900 | { |
d3cc1ab0 |
4901 | draw_line(dr, kcx + kcw - t, kcy + kch - t, kcx + kcw - t, kcy + kch, col_killer); |
4902 | draw_line(dr, kcx + kcw - t, kcy + kch - t, kcx + kcw, kcy + kch - t, col_killer); |
ad599e2b |
4903 | } |
4904 | |
4905 | } |
4906 | |
4907 | if (state->killer && state->kgrid[y*cr+x]) { |
4908 | sprintf (str, "%d", state->kgrid[y*cr+x]); |
4909 | draw_text(dr, tx + GRIDEXTRA * 4, ty + GRIDEXTRA * 4 + TILE_SIZE/4, |
4910 | FONT_VARIABLE, TILE_SIZE/4, ALIGN_VNORMAL | ALIGN_HLEFT, |
4911 | col_killer, str); |
4912 | } |
4913 | |
1d8e8ad8 |
4914 | /* new number needs drawing? */ |
4915 | if (state->grid[y*cr+x]) { |
4916 | str[1] = '\0'; |
4917 | str[0] = state->grid[y*cr+x] + '0'; |
4918 | if (str[0] > '9') |
4919 | str[0] += 'a' - ('9'+1); |
dafd6cf6 |
4920 | draw_text(dr, tx + TILE_SIZE/2, ty + TILE_SIZE/2, |
1d8e8ad8 |
4921 | FONT_VARIABLE, TILE_SIZE/2, ALIGN_VCENTRE | ALIGN_HCENTRE, |
7b14a9ec |
4922 | state->immutable[y*cr+x] ? COL_CLUE : (hl & 16) ? COL_ERROR : COL_USER, str); |
c8266e03 |
4923 | } else { |
edf63745 |
4924 | int i, j, npencil; |
ad599e2b |
4925 | int pl, pr, pt, pb; |
4926 | float bestsize; |
4927 | int pw, ph, minph, pbest, fontsize; |
edf63745 |
4928 | |
ad599e2b |
4929 | /* Count the pencil marks required. */ |
edf63745 |
4930 | for (i = npencil = 0; i < cr; i++) |
4931 | if (state->pencil[(y*cr+x)*cr+i]) |
4932 | npencil++; |
ad599e2b |
4933 | if (npencil) { |
edf63745 |
4934 | |
ad599e2b |
4935 | minph = 2; |
4936 | |
4937 | /* |
4938 | * Determine the bounding rectangle within which we're going |
4939 | * to put the pencil marks. |
4940 | */ |
4941 | /* Start with the whole square */ |
4942 | pl = tx + GRIDEXTRA; |
4943 | pr = pl + TILE_SIZE - GRIDEXTRA; |
4944 | pt = ty + GRIDEXTRA; |
4945 | pb = pt + TILE_SIZE - GRIDEXTRA; |
4946 | if (state->killer) { |
4947 | /* |
4948 | * Make space for the Killer cages. We do this |
4949 | * unconditionally, for uniformity between squares, |
4950 | * rather than making it depend on whether a Killer |
4951 | * cage edge is actually present on any given side. |
4952 | */ |
4953 | pl += GRIDEXTRA * 3; |
4954 | pr -= GRIDEXTRA * 3; |
4955 | pt += GRIDEXTRA * 3; |
4956 | pb -= GRIDEXTRA * 3; |
4957 | if (state->kgrid[y*cr+x] != 0) { |
4958 | /* Make further space for the Killer number. */ |
4959 | pt += TILE_SIZE/4; |
4960 | /* minph--; */ |
4961 | } |
4962 | } |
4963 | |
4964 | /* |
4965 | * We arrange our pencil marks in a grid layout, with |
4966 | * the number of rows and columns adjusted to allow the |
4967 | * maximum font size. |
4968 | * |
4969 | * So now we work out what the grid size ought to be. |
4970 | */ |
4971 | bestsize = 0.0; |
4972 | pbest = 0; |
4973 | /* Minimum */ |
4974 | for (pw = 3; pw < max(npencil,4); pw++) { |
4975 | float fw, fh, fs; |
4976 | |
4977 | ph = (npencil + pw - 1) / pw; |
4978 | ph = max(ph, minph); |
4979 | fw = (pr - pl) / (float)pw; |
4980 | fh = (pb - pt) / (float)ph; |
4981 | fs = min(fw, fh); |
4982 | if (fs > bestsize) { |
4983 | bestsize = fs; |
4984 | pbest = pw; |
4985 | } |
4986 | } |
4987 | assert(pbest > 0); |
4988 | pw = pbest; |
4989 | ph = (npencil + pw - 1) / pw; |
4990 | ph = max(ph, minph); |
4991 | |
4992 | /* |
4993 | * Now we've got our grid dimensions, work out the pixel |
4994 | * size of a grid element, and round it to the nearest |
4995 | * pixel. (We don't want rounding errors to make the |
4996 | * grid look uneven at low pixel sizes.) |
4997 | */ |
4998 | fontsize = min((pr - pl) / pw, (pb - pt) / ph); |
4999 | |
5000 | /* |
5001 | * Centre the resulting figure in the square. |
5002 | */ |
5003 | pl = tx + (TILE_SIZE - fontsize * pw) / 2; |
5004 | pt = ty + (TILE_SIZE - fontsize * ph) / 2; |
5005 | |
5006 | /* |
5007 | * And move it down a bit if it's collided with the |
5008 | * Killer cage number. |
5009 | */ |
5010 | if (state->killer && state->kgrid[y*cr+x] != 0) { |
5011 | pt = max(pt, ty + GRIDEXTRA * 3 + TILE_SIZE/4); |
5012 | } |
5013 | |
5014 | /* |
5015 | * Now actually draw the pencil marks. |
5016 | */ |
5017 | for (i = j = 0; i < cr; i++) |
5018 | if (state->pencil[(y*cr+x)*cr+i]) { |
5019 | int dx = j % pw, dy = j / pw; |
5020 | |
5021 | str[1] = '\0'; |
5022 | str[0] = i + '1'; |
5023 | if (str[0] > '9') |
5024 | str[0] += 'a' - ('9'+1); |
5025 | draw_text(dr, pl + fontsize * (2*dx+1) / 2, |
5026 | pt + fontsize * (2*dy+1) / 2, |
5027 | FONT_VARIABLE, fontsize, |
5028 | ALIGN_VCENTRE | ALIGN_HCENTRE, COL_PENCIL, str); |
5029 | j++; |
5030 | } |
5031 | } |
1d8e8ad8 |
5032 | } |
5033 | |
dafd6cf6 |
5034 | unclip(dr); |
1d8e8ad8 |
5035 | |
dafd6cf6 |
5036 | draw_update(dr, cx, cy, cw, ch); |
1d8e8ad8 |
5037 | |
5038 | ds->grid[y*cr+x] = state->grid[y*cr+x]; |
c8266e03 |
5039 | memcpy(ds->pencil+(y*cr+x)*cr, state->pencil+(y*cr+x)*cr, cr); |
1d8e8ad8 |
5040 | ds->hl[y*cr+x] = hl; |
5041 | } |
5042 | |
dafd6cf6 |
5043 | static void game_redraw(drawing *dr, game_drawstate *ds, game_state *oldstate, |
1d8e8ad8 |
5044 | game_state *state, int dir, game_ui *ui, |
5045 | float animtime, float flashtime) |
5046 | { |
fbd0fc79 |
5047 | int cr = state->cr; |
1d8e8ad8 |
5048 | int x, y; |
5049 | |
5050 | if (!ds->started) { |
5051 | /* |
5052 | * The initial contents of the window are not guaranteed |
5053 | * and can vary with front ends. To be on the safe side, |
5054 | * all games should start by drawing a big |
5055 | * background-colour rectangle covering the whole window. |
5056 | */ |
dafd6cf6 |
5057 | draw_rect(dr, 0, 0, SIZE(cr), SIZE(cr), COL_BACKGROUND); |
1d8e8ad8 |
5058 | |
5059 | /* |
fbd0fc79 |
5060 | * Draw the grid. We draw it as a big thick rectangle of |
5061 | * COL_GRID initially; individual calls to draw_number() |
5062 | * will poke the right-shaped holes in it. |
1d8e8ad8 |
5063 | */ |
fbd0fc79 |
5064 | draw_rect(dr, BORDER-GRIDEXTRA, BORDER-GRIDEXTRA, |
5065 | cr*TILE_SIZE+1+2*GRIDEXTRA, cr*TILE_SIZE+1+2*GRIDEXTRA, |
5066 | COL_GRID); |
1d8e8ad8 |
5067 | } |
5068 | |
5069 | /* |
7b14a9ec |
5070 | * This array is used to keep track of rows, columns and boxes |
5071 | * which contain a number more than once. |
5072 | */ |
997065cf |
5073 | for (x = 0; x < cr * ds->nregions; x++) |
b71dd7fc |
5074 | ds->entered_items[x] = 0; |
7b14a9ec |
5075 | for (x = 0; x < cr; x++) |
5076 | for (y = 0; y < cr; y++) { |
5077 | digit d = state->grid[y*cr+x]; |
5078 | if (d) { |
997065cf |
5079 | int box, kbox; |
5080 | |
5081 | /* Rows */ |
5082 | ds->entered_items[x*cr+d-1]++; |
5083 | |
5084 | /* Columns */ |
5085 | ds->entered_items[(y+cr)*cr+d-1]++; |
5086 | |
5087 | /* Blocks */ |
5088 | box = state->blocks->whichblock[y*cr+x]; |
5089 | ds->entered_items[(box+2*cr)*cr+d-1]++; |
5090 | |
5091 | /* Diagonals */ |
fbd0fc79 |
5092 | if (ds->xtype) { |
5093 | if (ondiag0(y*cr+x)) |
997065cf |
5094 | ds->entered_items[(3*cr)*cr+d-1]++; |
fbd0fc79 |
5095 | if (ondiag1(y*cr+x)) |
997065cf |
5096 | ds->entered_items[(3*cr+1)*cr+d-1]++; |
5097 | } |
5098 | |
5099 | /* Killer cages */ |
5100 | if (state->kblocks) { |
5101 | kbox = state->kblocks->whichblock[y*cr+x]; |
5102 | ds->entered_items[(kbox+3*cr+2)*cr+d-1]++; |
fbd0fc79 |
5103 | } |
7b14a9ec |
5104 | } |
5105 | } |
5106 | |
5107 | /* |
1d8e8ad8 |
5108 | * Draw any numbers which need redrawing. |
5109 | */ |
5110 | for (x = 0; x < cr; x++) { |
5111 | for (y = 0; y < cr; y++) { |
c8266e03 |
5112 | int highlight = 0; |
7b14a9ec |
5113 | digit d = state->grid[y*cr+x]; |
5114 | |
c8266e03 |
5115 | if (flashtime > 0 && |
5116 | (flashtime <= FLASH_TIME/3 || |
5117 | flashtime >= FLASH_TIME*2/3)) |
5118 | highlight = 1; |
7b14a9ec |
5119 | |
5120 | /* Highlight active input areas. */ |
b63898fe |
5121 | if (x == ui->hx && y == ui->hy && ui->hshow) |
c8266e03 |
5122 | highlight = ui->hpencil ? 2 : 1; |
7b14a9ec |
5123 | |
5124 | /* Mark obvious errors (ie, numbers which occur more than once |
5125 | * in a single row, column, or box). */ |
997065cf |
5126 | if (d && (ds->entered_items[x*cr+d-1] > 1 || |
5127 | ds->entered_items[(y+cr)*cr+d-1] > 1 || |
5128 | ds->entered_items[(state->blocks->whichblock[y*cr+x] |
5129 | +2*cr)*cr+d-1] > 1 || |
5130 | (ds->xtype && ((ondiag0(y*cr+x) && |
5131 | ds->entered_items[(3*cr)*cr+d-1] > 1) || |
5132 | (ondiag1(y*cr+x) && |
5133 | ds->entered_items[(3*cr+1)*cr+d-1]>1)))|| |
5134 | (state->kblocks && |
5135 | ds->entered_items[(state->kblocks->whichblock[y*cr+x] |
5136 | +3*cr+2)*cr+d-1] > 1))) |
7b14a9ec |
5137 | highlight |= 16; |
5138 | |
ad599e2b |
5139 | if (d && state->kblocks) { |
5140 | int i, b = state->kblocks->whichblock[y*cr+x]; |
5141 | int n_squares = state->kblocks->nr_squares[b]; |
5142 | int sum = 0, clue = 0; |
5143 | for (i = 0; i < n_squares; i++) { |
5144 | int xy = state->kblocks->blocks[b][i]; |
5145 | if (state->grid[xy] == 0) |
5146 | break; |
5147 | |
5148 | sum += state->grid[xy]; |
5149 | if (state->kgrid[xy]) { |
5150 | assert(clue == 0); |
5151 | clue = state->kgrid[xy]; |
5152 | } |
5153 | } |
5154 | |
5155 | if (i == n_squares) { |
5156 | assert(clue != 0); |
5157 | if (sum != clue) |
5158 | highlight |= 32; |
5159 | } |
5160 | } |
5161 | |
dafd6cf6 |
5162 | draw_number(dr, ds, state, x, y, highlight); |
1d8e8ad8 |
5163 | } |
5164 | } |
5165 | |
5166 | /* |
5167 | * Update the _entire_ grid if necessary. |
5168 | */ |
5169 | if (!ds->started) { |
dafd6cf6 |
5170 | draw_update(dr, 0, 0, SIZE(cr), SIZE(cr)); |
1d8e8ad8 |
5171 | ds->started = TRUE; |
5172 | } |
5173 | } |
5174 | |
5175 | static float game_anim_length(game_state *oldstate, game_state *newstate, |
e3f21163 |
5176 | int dir, game_ui *ui) |
1d8e8ad8 |
5177 | { |
5178 | return 0.0F; |
5179 | } |
5180 | |
5181 | static float game_flash_length(game_state *oldstate, game_state *newstate, |
e3f21163 |
5182 | int dir, game_ui *ui) |
1d8e8ad8 |
5183 | { |
2ac6d24e |
5184 | if (!oldstate->completed && newstate->completed && |
5185 | !oldstate->cheated && !newstate->cheated) |
1d8e8ad8 |
5186 | return FLASH_TIME; |
5187 | return 0.0F; |
5188 | } |
5189 | |
1cea529f |
5190 | static int game_status(game_state *state) |
4496362f |
5191 | { |
1cea529f |
5192 | return state->completed ? +1 : 0; |
4496362f |
5193 | } |
5194 | |
4d08de49 |
5195 | static int game_timing_state(game_state *state, game_ui *ui) |
48dcdd62 |
5196 | { |
ad599e2b |
5197 | if (state->completed) |
5198 | return FALSE; |
48dcdd62 |
5199 | return TRUE; |
5200 | } |
5201 | |
dafd6cf6 |
5202 | static void game_print_size(game_params *params, float *x, float *y) |
5203 | { |
5204 | int pw, ph; |
5205 | |
5206 | /* |
5207 | * I'll use 9mm squares by default. They should be quite big |
5208 | * for this game, because players will want to jot down no end |
5209 | * of pencil marks in the squares. |
5210 | */ |
5211 | game_compute_size(params, 900, &pw, &ph); |
b63898fe |
5212 | *x = pw / 100.0F; |
5213 | *y = ph / 100.0F; |
dafd6cf6 |
5214 | } |
5215 | |
ad599e2b |
5216 | /* |
5217 | * Subfunction to draw the thick lines between cells. In order to do |
5218 | * this using the line-drawing rather than rectangle-drawing API (so |
5219 | * as to get line thicknesses to scale correctly) and yet have |
5220 | * correctly mitred joins between lines, we must do this by tracing |
5221 | * the boundary of each sub-block and drawing it in one go as a |
5222 | * single polygon. |
5223 | * |
5224 | * This subfunction is also reused with thinner dotted lines to |
5225 | * outline the Killer cages, this time offsetting the outline toward |
5226 | * the interior of the affected squares. |
5227 | */ |
5228 | static void outline_block_structure(drawing *dr, game_drawstate *ds, |
5229 | game_state *state, |
5230 | struct block_structure *blocks, |
5231 | int ink, int inset) |
5232 | { |
5233 | int cr = state->cr; |
5234 | int *coords; |
5235 | int bi, i, n; |
5236 | int x, y, dx, dy, sx, sy, sdx, sdy; |
5237 | |
5238 | /* |
5239 | * Maximum perimeter of a k-omino is 2k+2. (Proof: start |
5240 | * with k unconnected squares, with total perimeter 4k. |
5241 | * Now repeatedly join two disconnected components |
5242 | * together into a larger one; every time you do so you |
5243 | * remove at least two unit edges, and you require k-1 of |
5244 | * these operations to create a single connected piece, so |
5245 | * you must have at most 4k-2(k-1) = 2k+2 unit edges left |
5246 | * afterwards.) |
5247 | */ |
5248 | coords = snewn(4*cr+4, int); /* 2k+2 points, 2 coords per point */ |
5249 | |
5250 | /* |
5251 | * Iterate over all the blocks. |
5252 | */ |
5253 | for (bi = 0; bi < blocks->nr_blocks; bi++) { |
5254 | if (blocks->nr_squares[bi] == 0) |
5255 | continue; |
5256 | |
5257 | /* |
5258 | * For each block, find a starting square within it |
5259 | * which has a boundary at the left. |
5260 | */ |
5261 | for (i = 0; i < cr; i++) { |
5262 | int j = blocks->blocks[bi][i]; |
5263 | if (j % cr == 0 || blocks->whichblock[j-1] != bi) |
5264 | break; |
5265 | } |
5266 | assert(i < cr); /* every block must have _some_ leftmost square */ |
5267 | x = blocks->blocks[bi][i] % cr; |
5268 | y = blocks->blocks[bi][i] / cr; |
5269 | dx = -1; |
5270 | dy = 0; |
5271 | |
5272 | /* |
5273 | * Now begin tracing round the perimeter. At all |
5274 | * times, (x,y) describes some square within the |
5275 | * block, and (x+dx,y+dy) is some adjacent square |
5276 | * outside it; so the edge between those two squares |
5277 | * is always an edge of the block. |
5278 | */ |
5279 | sx = x, sy = y, sdx = dx, sdy = dy; /* save starting position */ |
5280 | n = 0; |
5281 | do { |
5282 | int cx, cy, tx, ty, nin; |
5283 | |
5284 | /* |
5285 | * Advance to the next edge, by looking at the two |
5286 | * squares beyond it. If they're both outside the block, |
5287 | * we turn right (by leaving x,y the same and rotating |
5288 | * dx,dy clockwise); if they're both inside, we turn |
5289 | * left (by rotating dx,dy anticlockwise and contriving |
5290 | * to leave x+dx,y+dy unchanged); if one of each, we go |
5291 | * straight on (and may enforce by assertion that |
5292 | * they're one of each the _right_ way round). |
5293 | */ |
5294 | nin = 0; |
5295 | tx = x - dy + dx; |
5296 | ty = y + dx + dy; |
5297 | nin += (tx >= 0 && tx < cr && ty >= 0 && ty < cr && |
5298 | blocks->whichblock[ty*cr+tx] == bi); |
5299 | tx = x - dy; |
5300 | ty = y + dx; |
5301 | nin += (tx >= 0 && tx < cr && ty >= 0 && ty < cr && |
5302 | blocks->whichblock[ty*cr+tx] == bi); |
5303 | if (nin == 0) { |
5304 | /* |
5305 | * Turn right. |
5306 | */ |
5307 | int tmp; |
5308 | tmp = dx; |
5309 | dx = -dy; |
5310 | dy = tmp; |
5311 | } else if (nin == 2) { |
5312 | /* |
5313 | * Turn left. |
5314 | */ |
5315 | int tmp; |
5316 | |
5317 | x += dx; |
5318 | y += dy; |
5319 | |
5320 | tmp = dx; |
5321 | dx = dy; |
5322 | dy = -tmp; |
5323 | |
5324 | x -= dx; |
5325 | y -= dy; |
5326 | } else { |
5327 | /* |
5328 | * Go straight on. |
5329 | */ |
5330 | x -= dy; |
5331 | y += dx; |
5332 | } |
5333 | |
5334 | /* |
5335 | * Now enforce by assertion that we ended up |
5336 | * somewhere sensible. |
5337 | */ |
5338 | assert(x >= 0 && x < cr && y >= 0 && y < cr && |
5339 | blocks->whichblock[y*cr+x] == bi); |
5340 | assert(x+dx < 0 || x+dx >= cr || y+dy < 0 || y+dy >= cr || |
5341 | blocks->whichblock[(y+dy)*cr+(x+dx)] != bi); |
5342 | |
5343 | /* |
5344 | * Record the point we just went past at one end of the |
5345 | * edge. To do this, we translate (x,y) down and right |
5346 | * by half a unit (so they're describing a point in the |
5347 | * _centre_ of the square) and then translate back again |
5348 | * in a manner rotated by dy and dx. |
5349 | */ |
5350 | assert(n < 2*cr+2); |
5351 | cx = ((2*x+1) + dy + dx) / 2; |
5352 | cy = ((2*y+1) - dx + dy) / 2; |
5353 | coords[2*n+0] = BORDER + cx * TILE_SIZE; |
5354 | coords[2*n+1] = BORDER + cy * TILE_SIZE; |
5355 | coords[2*n+0] -= dx * inset; |
5356 | coords[2*n+1] -= dy * inset; |
5357 | if (nin == 0) { |
5358 | /* |
5359 | * We turned right, so inset this corner back along |
5360 | * the edge towards the centre of the square. |
5361 | */ |
5362 | coords[2*n+0] -= dy * inset; |
5363 | coords[2*n+1] += dx * inset; |
5364 | } else if (nin == 2) { |
5365 | /* |
5366 | * We turned left, so inset this corner further |
5367 | * _out_ along the edge into the next square. |
5368 | */ |
5369 | coords[2*n+0] += dy * inset; |
5370 | coords[2*n+1] -= dx * inset; |
5371 | } |
5372 | n++; |
5373 | |
5374 | } while (x != sx || y != sy || dx != sdx || dy != sdy); |
5375 | |
5376 | /* |
5377 | * That's our polygon; now draw it. |
5378 | */ |
5379 | draw_polygon(dr, coords, n, -1, ink); |
5380 | } |
5381 | |
5382 | sfree(coords); |
5383 | } |
5384 | |
dafd6cf6 |
5385 | static void game_print(drawing *dr, game_state *state, int tilesize) |
5386 | { |
fbd0fc79 |
5387 | int cr = state->cr; |
dafd6cf6 |
5388 | int ink = print_mono_colour(dr, 0); |
5389 | int x, y; |
5390 | |
5391 | /* Ick: fake up `ds->tilesize' for macro expansion purposes */ |
5392 | game_drawstate ads, *ds = &ads; |
4413ef0f |
5393 | game_set_size(dr, ds, NULL, tilesize); |
dafd6cf6 |
5394 | |
5395 | /* |
5396 | * Border. |
5397 | */ |
5398 | print_line_width(dr, 3 * TILE_SIZE / 40); |
5399 | draw_rect_outline(dr, BORDER, BORDER, cr*TILE_SIZE, cr*TILE_SIZE, ink); |
5400 | |
5401 | /* |
fbd0fc79 |
5402 | * Highlight X-diagonal squares. |
5403 | */ |
5404 | if (state->xtype) { |
5405 | int i; |
60aa1c74 |
5406 | int xhighlight = print_grey_colour(dr, 0.90F); |
fbd0fc79 |
5407 | |
5408 | for (i = 0; i < cr; i++) |
5409 | draw_rect(dr, BORDER + i*TILE_SIZE, BORDER + i*TILE_SIZE, |
5410 | TILE_SIZE, TILE_SIZE, xhighlight); |
5411 | for (i = 0; i < cr; i++) |
5412 | if (i*2 != cr-1) /* avoid redoing centre square, just for fun */ |
5413 | draw_rect(dr, BORDER + i*TILE_SIZE, |
5414 | BORDER + (cr-1-i)*TILE_SIZE, |
5415 | TILE_SIZE, TILE_SIZE, xhighlight); |
5416 | } |
5417 | |
5418 | /* |
5419 | * Main grid. |
dafd6cf6 |
5420 | */ |
5421 | for (x = 1; x < cr; x++) { |
fbd0fc79 |
5422 | print_line_width(dr, TILE_SIZE / 40); |
dafd6cf6 |
5423 | draw_line(dr, BORDER+x*TILE_SIZE, BORDER, |
5424 | BORDER+x*TILE_SIZE, BORDER+cr*TILE_SIZE, ink); |
5425 | } |
5426 | for (y = 1; y < cr; y++) { |
fbd0fc79 |
5427 | print_line_width(dr, TILE_SIZE / 40); |
dafd6cf6 |
5428 | draw_line(dr, BORDER, BORDER+y*TILE_SIZE, |
5429 | BORDER+cr*TILE_SIZE, BORDER+y*TILE_SIZE, ink); |
5430 | } |
5431 | |
5432 | /* |
ad599e2b |
5433 | * Thick lines between cells. |
fbd0fc79 |
5434 | */ |
ad599e2b |
5435 | print_line_width(dr, 3 * TILE_SIZE / 40); |
5436 | outline_block_structure(dr, ds, state, state->blocks, ink, 0); |
fbd0fc79 |
5437 | |
ad599e2b |
5438 | /* |
5439 | * Killer cages and their totals. |
5440 | */ |
5441 | if (state->kblocks) { |
5442 | print_line_width(dr, TILE_SIZE / 40); |
5443 | print_line_dotted(dr, TRUE); |
5444 | outline_block_structure(dr, ds, state, state->kblocks, ink, |
5445 | 5 * TILE_SIZE / 40); |
5446 | print_line_dotted(dr, FALSE); |
5447 | for (y = 0; y < cr; y++) |
5448 | for (x = 0; x < cr; x++) |
5449 | if (state->kgrid[y*cr+x]) { |
5450 | char str[20]; |
5451 | sprintf(str, "%d", state->kgrid[y*cr+x]); |
5452 | draw_text(dr, |
5453 | BORDER+x*TILE_SIZE + 7*TILE_SIZE/40, |
5454 | BORDER+y*TILE_SIZE + 16*TILE_SIZE/40, |
5455 | FONT_VARIABLE, TILE_SIZE/4, |
5456 | ALIGN_VNORMAL | ALIGN_HLEFT, |
5457 | ink, str); |
fbd0fc79 |
5458 | } |
fbd0fc79 |
5459 | } |
5460 | |
5461 | /* |
ad599e2b |
5462 | * Standard (non-Killer) clue numbers. |
dafd6cf6 |
5463 | */ |
5464 | for (y = 0; y < cr; y++) |
5465 | for (x = 0; x < cr; x++) |
5466 | if (state->grid[y*cr+x]) { |
5467 | char str[2]; |
5468 | str[1] = '\0'; |
5469 | str[0] = state->grid[y*cr+x] + '0'; |
5470 | if (str[0] > '9') |
5471 | str[0] += 'a' - ('9'+1); |
5472 | draw_text(dr, BORDER + x*TILE_SIZE + TILE_SIZE/2, |
5473 | BORDER + y*TILE_SIZE + TILE_SIZE/2, |
5474 | FONT_VARIABLE, TILE_SIZE/2, |
5475 | ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str); |
5476 | } |
5477 | } |
5478 | |
1d8e8ad8 |
5479 | #ifdef COMBINED |
5480 | #define thegame solo |
5481 | #endif |
5482 | |
5483 | const struct game thegame = { |
750037d7 |
5484 | "Solo", "games.solo", "solo", |
1d8e8ad8 |
5485 | default_params, |
5486 | game_fetch_preset, |
5487 | decode_params, |
5488 | encode_params, |
5489 | free_params, |
5490 | dup_params, |
1d228b10 |
5491 | TRUE, game_configure, custom_params, |
1d8e8ad8 |
5492 | validate_params, |
1185e3c5 |
5493 | new_game_desc, |
1185e3c5 |
5494 | validate_desc, |
1d8e8ad8 |
5495 | new_game, |
5496 | dup_game, |
5497 | free_game, |
2ac6d24e |
5498 | TRUE, solve_game, |
fa3abef5 |
5499 | TRUE, game_can_format_as_text_now, game_text_format, |
1d8e8ad8 |
5500 | new_ui, |
5501 | free_ui, |
ae8290c6 |
5502 | encode_ui, |
5503 | decode_ui, |
07dfb697 |
5504 | game_changed_state, |
df11cd4e |
5505 | interpret_move, |
5506 | execute_move, |
1f3ee4ee |
5507 | PREFERRED_TILE_SIZE, game_compute_size, game_set_size, |
1d8e8ad8 |
5508 | game_colours, |
5509 | game_new_drawstate, |
5510 | game_free_drawstate, |
5511 | game_redraw, |
5512 | game_anim_length, |
5513 | game_flash_length, |
1cea529f |
5514 | game_status, |
dafd6cf6 |
5515 | TRUE, FALSE, game_print_size, game_print, |
ac9f41c4 |
5516 | FALSE, /* wants_statusbar */ |
48dcdd62 |
5517 | FALSE, game_timing_state, |
cb0c7d4a |
5518 | REQUIRE_RBUTTON | REQUIRE_NUMPAD, /* flags */ |
1d8e8ad8 |
5519 | }; |
3ddae0ff |
5520 | |
5521 | #ifdef STANDALONE_SOLVER |
5522 | |
3ddae0ff |
5523 | int main(int argc, char **argv) |
5524 | { |
5525 | game_params *p; |
5526 | game_state *s; |
1185e3c5 |
5527 | char *id = NULL, *desc, *err; |
7c568a48 |
5528 | int grade = FALSE; |
ad599e2b |
5529 | struct difficulty dlev; |
3ddae0ff |
5530 | |
5531 | while (--argc > 0) { |
5532 | char *p = *++argv; |
ab362080 |
5533 | if (!strcmp(p, "-v")) { |
7c568a48 |
5534 | solver_show_working = TRUE; |
7c568a48 |
5535 | } else if (!strcmp(p, "-g")) { |
5536 | grade = TRUE; |
3ddae0ff |
5537 | } else if (*p == '-') { |
8317499a |
5538 | fprintf(stderr, "%s: unrecognised option `%s'\n", argv[0], p); |
3ddae0ff |
5539 | return 1; |
5540 | } else { |
5541 | id = p; |
5542 | } |
5543 | } |
5544 | |
5545 | if (!id) { |
ab362080 |
5546 | fprintf(stderr, "usage: %s [-g | -v] <game_id>\n", argv[0]); |
3ddae0ff |
5547 | return 1; |
5548 | } |
5549 | |
1185e3c5 |
5550 | desc = strchr(id, ':'); |
5551 | if (!desc) { |
3ddae0ff |
5552 | fprintf(stderr, "%s: game id expects a colon in it\n", argv[0]); |
5553 | return 1; |
5554 | } |
1185e3c5 |
5555 | *desc++ = '\0'; |
3ddae0ff |
5556 | |
1733f4ca |
5557 | p = default_params(); |
5558 | decode_params(p, id); |
1185e3c5 |
5559 | err = validate_desc(p, desc); |
3ddae0ff |
5560 | if (err) { |
5561 | fprintf(stderr, "%s: %s\n", argv[0], err); |
5562 | return 1; |
5563 | } |
39d682c9 |
5564 | s = new_game(NULL, p, desc); |
3ddae0ff |
5565 | |
ad599e2b |
5566 | dlev.maxdiff = DIFF_RECURSIVE; |
5567 | dlev.maxkdiff = DIFF_KINTERSECT; |
5568 | solver(s->cr, s->blocks, s->kblocks, s->xtype, s->grid, s->kgrid, &dlev); |
ab362080 |
5569 | if (grade) { |
5570 | printf("Difficulty rating: %s\n", |
ad599e2b |
5571 | dlev.diff==DIFF_BLOCK ? "Trivial (blockwise positional elimination only)": |
5572 | dlev.diff==DIFF_SIMPLE ? "Basic (row/column/number elimination required)": |
5573 | dlev.diff==DIFF_INTERSECT ? "Intermediate (intersectional analysis required)": |
5574 | dlev.diff==DIFF_SET ? "Advanced (set elimination required)": |
5575 | dlev.diff==DIFF_EXTREME ? "Extreme (complex non-recursive techniques required)": |
5576 | dlev.diff==DIFF_RECURSIVE ? "Unreasonable (guesswork and backtracking required)": |
5577 | dlev.diff==DIFF_AMBIGUOUS ? "Ambiguous (multiple solutions exist)": |
5578 | dlev.diff==DIFF_IMPOSSIBLE ? "Impossible (no solution exists)": |
ab362080 |
5579 | "INTERNAL ERROR: unrecognised difficulty code"); |
ad599e2b |
5580 | if (p->killer) |
9003c6f7 |
5581 | printf("Killer difficulty: %s\n", |
ad599e2b |
5582 | dlev.kdiff==DIFF_KSINGLE ? "Trivial (single square cages only)": |
5583 | dlev.kdiff==DIFF_KMINMAX ? "Simple (maximum sum analysis required)": |
5584 | dlev.kdiff==DIFF_KSUMS ? "Intermediate (sum possibilities)": |
5585 | dlev.kdiff==DIFF_KINTERSECT ? "Advanced (sum region intersections)": |
5586 | "INTERNAL ERROR: unrecognised difficulty code"); |
3ddae0ff |
5587 | } else { |
fbd0fc79 |
5588 | printf("%s\n", grid_text_format(s->cr, s->blocks, s->xtype, s->grid)); |
3ddae0ff |
5589 | } |
5590 | |
3ddae0ff |
5591 | return 0; |
5592 | } |
5593 | |
5594 | #endif |
b63898fe |
5595 | |
5596 | /* vim: set shiftwidth=4 tabstop=8: */ |