d8fa223c |
1 | /* |
2 | * group.c: a Latin-square puzzle, but played with groups' Cayley |
3 | * tables. That is, you are given a Cayley table of a group with |
4 | * most elements blank and a few clues, and you must fill it in |
5 | * so as to preserve the group axioms. |
6 | * |
7 | * This is a perfectly playable and fully working puzzle, but I'm |
8 | * leaving it for the moment in the 'unfinished' directory because |
9 | * it's just too esoteric (not to mention _hard_) for me to be |
10 | * comfortable presenting it to the general public as something they |
11 | * might (implicitly) actually want to play. |
12 | * |
13 | * TODO: |
14 | * |
15 | * - more solver techniques? |
16 | * * Inverses: once we know that gh = e, we can immediately |
17 | * deduce hg = e as well; then for any gx=y we can deduce |
18 | * hy=x, and for any xg=y we have yh=x. |
19 | * * Hard-mode associativity: we currently deduce based on |
20 | * definite numbers in the grid, but we could also winnow |
21 | * based on _possible_ numbers. |
22 | * * My overambitious original thoughts included wondering if we |
23 | * could infer that there must be elements of certain orders |
24 | * (e.g. a group of order divisible by 5 must contain an |
25 | * element of order 5), but I think in fact this is probably |
26 | * silly. |
d8fa223c |
27 | */ |
28 | |
29 | #include <stdio.h> |
30 | #include <stdlib.h> |
31 | #include <string.h> |
32 | #include <assert.h> |
33 | #include <ctype.h> |
34 | #include <math.h> |
35 | |
36 | #include "puzzles.h" |
37 | #include "latin.h" |
38 | |
39 | /* |
40 | * Difficulty levels. I do some macro ickery here to ensure that my |
41 | * enum and the various forms of my name list always match up. |
42 | */ |
43 | #define DIFFLIST(A) \ |
44 | A(TRIVIAL,Trivial,NULL,t) \ |
45 | A(NORMAL,Normal,solver_normal,n) \ |
46 | A(HARD,Hard,NULL,h) \ |
47 | A(EXTREME,Extreme,NULL,x) \ |
48 | A(UNREASONABLE,Unreasonable,NULL,u) |
49 | #define ENUM(upper,title,func,lower) DIFF_ ## upper, |
50 | #define TITLE(upper,title,func,lower) #title, |
51 | #define ENCODE(upper,title,func,lower) #lower |
52 | #define CONFIG(upper,title,func,lower) ":" #title |
53 | enum { DIFFLIST(ENUM) DIFFCOUNT }; |
54 | static char const *const group_diffnames[] = { DIFFLIST(TITLE) }; |
55 | static char const group_diffchars[] = DIFFLIST(ENCODE); |
56 | #define DIFFCONFIG DIFFLIST(CONFIG) |
57 | |
58 | enum { |
59 | COL_BACKGROUND, |
d8fa223c |
60 | COL_GRID, |
61 | COL_USER, |
62 | COL_HIGHLIGHT, |
63 | COL_ERROR, |
64 | COL_PENCIL, |
65 | NCOLOURS |
66 | }; |
67 | |
5523645e |
68 | /* |
69 | * In identity mode, we number the elements e,a,b,c,d,f,g,h,... |
70 | * Otherwise, they're a,b,c,d,e,f,g,h,... in the obvious way. |
71 | */ |
72 | #define E_TO_FRONT(c,id) ( (id) && (c)<=5 ? (c) % 5 + 1 : (c) ) |
73 | #define E_FROM_FRONT(c,id) ( (id) && (c)<=5 ? ((c) + 3) % 5 + 1 : (c) ) |
74 | |
75 | #define FROMCHAR(c,id) E_TO_FRONT((((c)-('A'-1)) & ~0x20), id) |
76 | #define ISCHAR(c) (((c)>='A'&&(c)<='Z') || ((c)>='a'&&(c)<='z')) |
77 | #define TOCHAR(c,id) (E_FROM_FRONT(c,id) + ('a'-1)) |
d8fa223c |
78 | |
79 | struct game_params { |
b84b31a8 |
80 | int w, diff, id; |
d8fa223c |
81 | }; |
82 | |
83 | struct game_state { |
84 | game_params par; |
85 | digit *grid; |
86 | unsigned char *immutable; |
87 | int *pencil; /* bitmaps using bits 1<<1..1<<n */ |
88 | int completed, cheated; |
89 | }; |
90 | |
91 | static game_params *default_params(void) |
92 | { |
93 | game_params *ret = snew(game_params); |
94 | |
95 | ret->w = 6; |
96 | ret->diff = DIFF_NORMAL; |
b84b31a8 |
97 | ret->id = TRUE; |
d8fa223c |
98 | |
99 | return ret; |
100 | } |
101 | |
102 | const static struct game_params group_presets[] = { |
b84b31a8 |
103 | { 6, DIFF_NORMAL, TRUE }, |
104 | { 6, DIFF_NORMAL, FALSE }, |
b84b31a8 |
105 | { 8, DIFF_NORMAL, TRUE }, |
106 | { 8, DIFF_NORMAL, FALSE }, |
5523645e |
107 | { 8, DIFF_HARD, TRUE }, |
108 | { 8, DIFF_HARD, FALSE }, |
b84b31a8 |
109 | { 12, DIFF_NORMAL, TRUE }, |
d8fa223c |
110 | }; |
111 | |
112 | static int game_fetch_preset(int i, char **name, game_params **params) |
113 | { |
114 | game_params *ret; |
115 | char buf[80]; |
116 | |
117 | if (i < 0 || i >= lenof(group_presets)) |
118 | return FALSE; |
119 | |
120 | ret = snew(game_params); |
121 | *ret = group_presets[i]; /* structure copy */ |
122 | |
b84b31a8 |
123 | sprintf(buf, "%dx%d %s%s", ret->w, ret->w, group_diffnames[ret->diff], |
124 | ret->id ? "" : ", identity hidden"); |
d8fa223c |
125 | |
126 | *name = dupstr(buf); |
127 | *params = ret; |
128 | return TRUE; |
129 | } |
130 | |
131 | static void free_params(game_params *params) |
132 | { |
133 | sfree(params); |
134 | } |
135 | |
136 | static game_params *dup_params(game_params *params) |
137 | { |
138 | game_params *ret = snew(game_params); |
139 | *ret = *params; /* structure copy */ |
140 | return ret; |
141 | } |
142 | |
143 | static void decode_params(game_params *params, char const *string) |
144 | { |
145 | char const *p = string; |
146 | |
147 | params->w = atoi(p); |
148 | while (*p && isdigit((unsigned char)*p)) p++; |
b84b31a8 |
149 | params->diff = DIFF_NORMAL; |
150 | params->id = TRUE; |
151 | |
152 | while (*p) { |
153 | if (*p == 'd') { |
154 | int i; |
155 | p++; |
156 | params->diff = DIFFCOUNT+1; /* ...which is invalid */ |
157 | if (*p) { |
158 | for (i = 0; i < DIFFCOUNT; i++) { |
159 | if (*p == group_diffchars[i]) |
160 | params->diff = i; |
161 | } |
162 | p++; |
163 | } |
164 | } else if (*p == 'i') { |
165 | params->id = FALSE; |
5523645e |
166 | p++; |
167 | } else { |
168 | /* unrecognised character */ |
169 | p++; |
b84b31a8 |
170 | } |
d8fa223c |
171 | } |
172 | } |
173 | |
174 | static char *encode_params(game_params *params, int full) |
175 | { |
176 | char ret[80]; |
177 | |
178 | sprintf(ret, "%d", params->w); |
179 | if (full) |
180 | sprintf(ret + strlen(ret), "d%c", group_diffchars[params->diff]); |
b84b31a8 |
181 | if (!params->id) |
182 | sprintf(ret + strlen(ret), "i"); |
d8fa223c |
183 | |
184 | return dupstr(ret); |
185 | } |
186 | |
187 | static config_item *game_configure(game_params *params) |
188 | { |
189 | config_item *ret; |
190 | char buf[80]; |
191 | |
b84b31a8 |
192 | ret = snewn(4, config_item); |
d8fa223c |
193 | |
194 | ret[0].name = "Grid size"; |
195 | ret[0].type = C_STRING; |
196 | sprintf(buf, "%d", params->w); |
197 | ret[0].sval = dupstr(buf); |
198 | ret[0].ival = 0; |
199 | |
200 | ret[1].name = "Difficulty"; |
201 | ret[1].type = C_CHOICES; |
202 | ret[1].sval = DIFFCONFIG; |
203 | ret[1].ival = params->diff; |
204 | |
b84b31a8 |
205 | ret[2].name = "Show identity"; |
206 | ret[2].type = C_BOOLEAN; |
d8fa223c |
207 | ret[2].sval = NULL; |
b84b31a8 |
208 | ret[2].ival = params->id; |
209 | |
210 | ret[3].name = NULL; |
211 | ret[3].type = C_END; |
212 | ret[3].sval = NULL; |
213 | ret[3].ival = 0; |
d8fa223c |
214 | |
215 | return ret; |
216 | } |
217 | |
218 | static game_params *custom_params(config_item *cfg) |
219 | { |
220 | game_params *ret = snew(game_params); |
221 | |
222 | ret->w = atoi(cfg[0].sval); |
223 | ret->diff = cfg[1].ival; |
b84b31a8 |
224 | ret->id = cfg[2].ival; |
d8fa223c |
225 | |
226 | return ret; |
227 | } |
228 | |
229 | static char *validate_params(game_params *params, int full) |
230 | { |
5523645e |
231 | if (params->w < 3 || params->w > 26) |
232 | return "Grid size must be between 3 and 26"; |
d8fa223c |
233 | if (params->diff >= DIFFCOUNT) |
234 | return "Unknown difficulty rating"; |
5523645e |
235 | if (!params->id && params->diff == DIFF_TRIVIAL) { |
236 | /* |
237 | * We can't have a Trivial-difficulty puzzle (i.e. latin |
238 | * square deductions only) without a clear identity, because |
239 | * identityless puzzles always have two rows and two columns |
240 | * entirely blank, and no latin-square deduction permits the |
241 | * distinguishing of two such rows. |
242 | */ |
243 | return "Trivial puzzles must have an identity"; |
244 | } |
08d8cd00 |
245 | if (!params->id && params->w == 3) { |
246 | /* |
247 | * We can't have a 3x3 puzzle without an identity either, |
248 | * because 3x3 puzzles can't ever be harder than Trivial |
249 | * (there are no 3x3 latin squares which aren't also valid |
250 | * group tables, so enabling group-based deductions doesn't |
251 | * rule out any possible solutions) and - as above - Trivial |
252 | * puzzles can't not have an identity. |
253 | */ |
254 | return "3x3 puzzles must have an identity"; |
255 | } |
d8fa223c |
256 | return NULL; |
257 | } |
258 | |
259 | /* ---------------------------------------------------------------------- |
260 | * Solver. |
261 | */ |
262 | |
263 | static int solver_normal(struct latin_solver *solver, void *vctx) |
264 | { |
265 | int w = solver->o; |
5523645e |
266 | #ifdef STANDALONE_SOLVER |
267 | char **names = solver->names; |
268 | #endif |
d8fa223c |
269 | digit *grid = solver->grid; |
270 | int i, j, k; |
271 | |
272 | /* |
273 | * Deduce using associativity: (ab)c = a(bc). |
274 | * |
275 | * So we pick any a,b,c we like; then if we know ab, bc, and |
276 | * (ab)c we can fill in a(bc). |
277 | */ |
278 | for (i = 1; i < w; i++) |
279 | for (j = 1; j < w; j++) |
280 | for (k = 1; k < w; k++) { |
281 | if (!grid[i*w+j] || !grid[j*w+k]) |
282 | continue; |
283 | if (grid[(grid[i*w+j]-1)*w+k] && |
284 | !grid[i*w+(grid[j*w+k]-1)]) { |
285 | int x = grid[j*w+k]-1, y = i; |
286 | int n = grid[(grid[i*w+j]-1)*w+k]; |
287 | #ifdef STANDALONE_SOLVER |
288 | if (solver_show_working) { |
5523645e |
289 | printf("%*sassociativity on %s,%s,%s: %s*%s = %s*%s\n", |
d8fa223c |
290 | solver_recurse_depth*4, "", |
5523645e |
291 | names[i], names[j], names[k], |
292 | names[grid[i*w+j]-1], names[k], |
293 | names[i], names[grid[j*w+k]-1]); |
294 | printf("%*s placing %s at (%d,%d)\n", |
d8fa223c |
295 | solver_recurse_depth*4, "", |
5523645e |
296 | names[n-1], x+1, y+1); |
d8fa223c |
297 | } |
298 | #endif |
299 | if (solver->cube[(x*w+y)*w+n-1]) { |
300 | latin_solver_place(solver, x, y, n); |
301 | return 1; |
302 | } else { |
303 | #ifdef STANDALONE_SOLVER |
304 | if (solver_show_working) |
305 | printf("%*s contradiction!\n", |
306 | solver_recurse_depth*4, ""); |
307 | return -1; |
308 | #endif |
309 | } |
310 | } |
311 | if (!grid[(grid[i*w+j]-1)*w+k] && |
312 | grid[i*w+(grid[j*w+k]-1)]) { |
313 | int x = k, y = grid[i*w+j]-1; |
314 | int n = grid[i*w+(grid[j*w+k]-1)]; |
315 | #ifdef STANDALONE_SOLVER |
316 | if (solver_show_working) { |
5523645e |
317 | printf("%*sassociativity on %s,%s,%s: %s*%s = %s*%s\n", |
d8fa223c |
318 | solver_recurse_depth*4, "", |
5523645e |
319 | names[i], names[j], names[k], |
320 | names[grid[i*w+j]-1], names[k], |
321 | names[i], names[grid[j*w+k]-1]); |
322 | printf("%*s placing %s at (%d,%d)\n", |
d8fa223c |
323 | solver_recurse_depth*4, "", |
5523645e |
324 | names[n-1], x+1, y+1); |
d8fa223c |
325 | } |
326 | #endif |
327 | if (solver->cube[(x*w+y)*w+n-1]) { |
328 | latin_solver_place(solver, x, y, n); |
329 | return 1; |
330 | } else { |
331 | #ifdef STANDALONE_SOLVER |
332 | if (solver_show_working) |
333 | printf("%*s contradiction!\n", |
334 | solver_recurse_depth*4, ""); |
335 | return -1; |
336 | #endif |
337 | } |
338 | } |
339 | } |
340 | |
341 | return 0; |
342 | } |
343 | |
344 | #define SOLVER(upper,title,func,lower) func, |
345 | static usersolver_t const group_solvers[] = { DIFFLIST(SOLVER) }; |
346 | |
5523645e |
347 | static int solver(game_params *params, digit *grid, int maxdiff) |
d8fa223c |
348 | { |
5523645e |
349 | int w = params->w; |
d8fa223c |
350 | int ret; |
5523645e |
351 | struct latin_solver solver; |
352 | #ifdef STANDALONE_SOLVER |
353 | char *p, text[100], *names[50]; |
354 | int i; |
355 | #endif |
356 | |
357 | latin_solver_alloc(&solver, grid, w); |
358 | #ifdef STANDALONE_SOLVER |
359 | for (i = 0, p = text; i < w; i++) { |
360 | names[i] = p; |
361 | *p++ = TOCHAR(i+1, params->id); |
362 | *p++ = '\0'; |
363 | } |
364 | solver.names = names; |
365 | #endif |
366 | |
367 | ret = latin_solver_main(&solver, maxdiff, |
368 | DIFF_TRIVIAL, DIFF_HARD, DIFF_EXTREME, |
369 | DIFF_EXTREME, DIFF_UNREASONABLE, |
370 | group_solvers, NULL, NULL, NULL); |
371 | |
372 | latin_solver_free(&solver); |
d8fa223c |
373 | |
374 | return ret; |
375 | } |
376 | |
377 | /* ---------------------------------------------------------------------- |
378 | * Grid generation. |
379 | */ |
380 | |
381 | static char *encode_grid(char *desc, digit *grid, int area) |
382 | { |
383 | int run, i; |
384 | char *p = desc; |
385 | |
386 | run = 0; |
387 | for (i = 0; i <= area; i++) { |
388 | int n = (i < area ? grid[i] : -1); |
389 | |
390 | if (!n) |
391 | run++; |
392 | else { |
393 | if (run) { |
394 | while (run > 0) { |
395 | int c = 'a' - 1 + run; |
396 | if (run > 26) |
397 | c = 'z'; |
398 | *p++ = c; |
399 | run -= c - ('a' - 1); |
400 | } |
401 | } else { |
402 | /* |
403 | * If there's a number in the very top left or |
404 | * bottom right, there's no point putting an |
405 | * unnecessary _ before or after it. |
406 | */ |
407 | if (p > desc && n > 0) |
408 | *p++ = '_'; |
409 | } |
410 | if (n > 0) |
411 | p += sprintf(p, "%d", n); |
412 | run = 0; |
413 | } |
414 | } |
415 | return p; |
416 | } |
417 | |
418 | /* ----- data generated by group.gap begins ----- */ |
419 | |
420 | struct group { |
421 | unsigned long autosize; |
422 | int order, ngens; |
423 | const char *gens; |
424 | }; |
425 | struct groups { |
426 | int ngroups; |
427 | const struct group *groups; |
428 | }; |
429 | |
430 | static const struct group groupdata[] = { |
431 | /* order 2 */ |
5523645e |
432 | {1L, 2, 1, "BA"}, |
d8fa223c |
433 | /* order 3 */ |
5523645e |
434 | {2L, 3, 1, "BCA"}, |
d8fa223c |
435 | /* order 4 */ |
5523645e |
436 | {2L, 4, 1, "BCDA"}, |
437 | {6L, 4, 2, "BADC" "CDAB"}, |
d8fa223c |
438 | /* order 5 */ |
5523645e |
439 | {4L, 5, 1, "BCDEA"}, |
d8fa223c |
440 | /* order 6 */ |
5523645e |
441 | {6L, 6, 2, "CFEBAD" "BADCFE"}, |
442 | {2L, 6, 1, "DCFEBA"}, |
d8fa223c |
443 | /* order 7 */ |
5523645e |
444 | {6L, 7, 1, "BCDEFGA"}, |
d8fa223c |
445 | /* order 8 */ |
5523645e |
446 | {4L, 8, 1, "BCEFDGHA"}, |
447 | {8L, 8, 2, "BDEFGAHC" "EGBHDCFA"}, |
448 | {8L, 8, 2, "EGBHDCFA" "BAEFCDHG"}, |
449 | {24L, 8, 2, "BDEFGAHC" "CHDGBEAF"}, |
450 | {168L, 8, 3, "BAEFCDHG" "CEAGBHDF" "DFGAHBCE"}, |
d8fa223c |
451 | /* order 9 */ |
5523645e |
452 | {6L, 9, 1, "BDECGHFIA"}, |
453 | {48L, 9, 2, "BDEAGHCIF" "CEFGHAIBD"}, |
d8fa223c |
454 | /* order 10 */ |
5523645e |
455 | {20L, 10, 2, "CJEBGDIFAH" "BADCFEHGJI"}, |
456 | {4L, 10, 1, "DCFEHGJIBA"}, |
d8fa223c |
457 | /* order 11 */ |
5523645e |
458 | {10L, 11, 1, "BCDEFGHIJKA"}, |
d8fa223c |
459 | /* order 12 */ |
5523645e |
460 | {12L, 12, 2, "GLDKJEHCBIAF" "BCEFAGIJDKLH"}, |
461 | {4L, 12, 1, "EHIJKCBLDGFA"}, |
462 | {24L, 12, 2, "BEFGAIJKCDLH" "FJBKHLEGDCIA"}, |
463 | {12L, 12, 2, "GLDKJEHCBIAF" "BAEFCDIJGHLK"}, |
464 | {12L, 12, 2, "FDIJGHLBKAEC" "GIDKFLHCJEAB"}, |
d8fa223c |
465 | /* order 13 */ |
5523645e |
466 | {12L, 13, 1, "BCDEFGHIJKLMA"}, |
d8fa223c |
467 | /* order 14 */ |
5523645e |
468 | {42L, 14, 2, "ELGNIBKDMFAHCJ" "BADCFEHGJILKNM"}, |
469 | {6L, 14, 1, "FEHGJILKNMBADC"}, |
d8fa223c |
470 | /* order 15 */ |
5523645e |
471 | {8L, 15, 1, "EGHCJKFMNIOBLDA"}, |
d8fa223c |
472 | /* order 16 */ |
5523645e |
473 | {8L, 16, 1, "MKNPFOADBGLCIEHJ"}, |
474 | {96L, 16, 2, "ILKCONFPEDJHGMAB" "BDFGHIAKLMNCOEPJ"}, |
475 | {32L, 16, 2, "MIHPFDCONBLAKJGE" "BEFGHJKALMNOCDPI"}, |
476 | {32L, 16, 2, "IFACOGLMDEJBNPKH" "BEFGHJKALMNOCDPI"}, |
477 | {16L, 16, 2, "MOHPFKCINBLADJGE" "BDFGHIEKLMNJOAPC"}, |
478 | {16L, 16, 2, "MIHPFDJONBLEKCGA" "BDFGHIEKLMNJOAPC"}, |
479 | {32L, 16, 2, "MOHPFDCINBLEKJGA" "BAFGHCDELMNIJKPO"}, |
480 | {16L, 16, 2, "MIHPFKJONBLADCGE" "GDPHNOEKFLBCIAMJ"}, |
481 | {32L, 16, 2, "MIBPFDJOGHLEKCNA" "CLEIJGMPKAOHNFDB"}, |
d8fa223c |
482 | {192L, 16, 3, |
5523645e |
483 | "MCHPFAIJNBLDEOGK" "BEFGHJKALMNOCDPI" "GKLBNOEDFPHJIAMC"}, |
484 | {64L, 16, 3, "MCHPFAIJNBLDEOGK" "LOGFPKJIBNMEDCHA" "CMAIJHPFDEONBLKG"}, |
d8fa223c |
485 | {192L, 16, 3, |
5523645e |
486 | "IPKCOGMLEDJBNFAH" "BEFGHJKALMNOCDPI" "CMEIJBPFKAOGHLDN"}, |
487 | {48L, 16, 3, "IPDJONFLEKCBGMAH" "FJBLMEOCGHPKAIND" "DGIEKLHNJOAMPBCF"}, |
d8fa223c |
488 | {20160L, 16, 4, |
5523645e |
489 | "EHJKAMNBOCDPFGIL" "BAFGHCDELMNIJKPO" "CFAIJBLMDEOGHPKN" |
490 | "DGIAKLBNCOEFPHJM"}, |
d8fa223c |
491 | /* order 17 */ |
5523645e |
492 | {16L, 17, 1, "EFGHIJKLMNOPQABCD"}, |
d8fa223c |
493 | /* order 18 */ |
5523645e |
494 | {54L, 18, 2, "MKIQOPNAGLRECDBJHF" "BAEFCDJKLGHIOPMNRQ"}, |
495 | {6L, 18, 1, "ECJKGHFOPDMNLRIQBA"}, |
496 | {12L, 18, 2, "ECJKGHBOPAMNFRDQLI" "KNOPQCFREIGHLJAMBD"}, |
d8fa223c |
497 | {432L, 18, 3, |
5523645e |
498 | "IFNAKLQCDOPBGHREMJ" "NOQCFRIGHKLJAMPBDE" "BAEFCDJKLGHIOPMNRQ"}, |
499 | {48L, 18, 2, "ECJKGHBOPAMNFRDQLI" "FDKLHIOPBMNAREQCJG"}, |
d8fa223c |
500 | /* order 19 */ |
5523645e |
501 | {18L, 19, 1, "EFGHIJKLMNOPQRSABCD"}, |
d8fa223c |
502 | /* order 20 */ |
5523645e |
503 | {40L, 20, 2, "GTDKREHOBILSFMPCJQAN" "EABICDFMGHJQKLNTOPRS"}, |
504 | {8L, 20, 1, "EHIJLCMNPGQRSKBTDOFA"}, |
505 | {20L, 20, 2, "DJSHQNCLTRGPEBKAIFOM" "EABICDFMGHJQKLNTOPRS"}, |
506 | {40L, 20, 2, "GTDKREHOBILSFMPCJQAN" "ECBIAGFMDKJQHONTLSRP"}, |
507 | {24L, 20, 2, "IGFMDKJQHONTLSREPCBA" "FDIJGHMNKLQROPTBSAEC"}, |
d8fa223c |
508 | /* order 21 */ |
5523645e |
509 | {42L, 21, 2, "ITLSBOUERDHAGKCJNFMQP" "EJHLMKOPNRSQAUTCDBFGI"}, |
510 | {12L, 21, 1, "EGHCJKFMNIPQLSTOUBRDA"}, |
d8fa223c |
511 | /* order 22 */ |
5523645e |
512 | {110L, 22, 2, "ETGVIBKDMFOHQJSLUNAPCR" "BADCFEHGJILKNMPORQTSVU"}, |
513 | {10L, 22, 1, "FEHGJILKNMPORQTSVUBADC"}, |
d8fa223c |
514 | /* order 23 */ |
5523645e |
515 | {22L, 23, 1, "EFGHIJKLMNOPQRSTUVWABCD"}, |
d8fa223c |
516 | /* order 24 */ |
5523645e |
517 | {24L, 24, 2, "QXEJWPUMKLRIVBFTSACGHNDO" "HRNOPSWCTUVBLDIJXFGAKQME"}, |
518 | {8L, 24, 1, "MQBTUDRWFGHXJELINOPKSAVC"}, |
519 | {24L, 24, 2, "IOQRBEUVFWGHKLAXMNPSCDTJ" "NJXOVGDKSMTFIPQELCURBWAH"}, |
520 | {48L, 24, 2, "QUEJWVXFKLRIPGMNSACBOTDH" "HSNOPWLDTUVBRIAKXFGCQEMJ"}, |
521 | {24L, 24, 2, "QXEJWPUMKLRIVBFTSACGHNDO" "TWHNXLRIOPUMSACQVBFDEJGK"}, |
522 | {48L, 24, 2, "QUEJWVXFKLRIPGMNSACBOTDH" "BAFGHCDEMNOPIJKLTUVQRSXW"}, |
d8fa223c |
523 | {48L, 24, 3, |
5523645e |
524 | "QXKJWVUMESRIPGFTLDCBONAH" "JUEQRPXFKLWCVBMNSAIGHTDO" |
525 | "HSNOPWLDTUVBRIAKXFGCQEMJ"}, |
d8fa223c |
526 | {24L, 24, 3, |
5523645e |
527 | "QUKJWPXFESRIVBMNLDCGHTAO" "JXEQRVUMKLWCPGFTSAIBONDH" |
528 | "TRONXLWCHVUMSAIJPGFDEQBK"}, |
529 | {16L, 24, 2, "MRGTULWIOPFXSDJQBVNEKCHA" "VKXHOQASNTPBCWDEUFGIJLMR"}, |
530 | {16L, 24, 2, "MRGTULWIOPFXSDJQBVNEKCHA" "RMLWIGTUSDJQOPFXEKCBVNAH"}, |
531 | {48L, 24, 2, "IULQRGXMSDCWOPNTEKJBVFAH" "GLMOPRSDTUBVWIEKFXHJQANC"}, |
532 | {24L, 24, 2, "UJPXMRCSNHGTLWIKFVBEDQOA" "NRUFVLWIPXMOJEDQHGTCSABK"}, |
533 | {24L, 24, 2, "MIBTUAQRFGHXCDEWNOPJKLVS" "OKXVFWSCGUTNDRQJBPMALIHE"}, |
d8fa223c |
534 | {144L, 24, 3, |
5523645e |
535 | "QXKJWVUMESRIPGFTLDCBONAH" "JUEQRPXFKLWCVBMNSAIGHTDO" |
536 | "BAFGHCDEMNOPIJKLTUVQRSXW"}, |
d8fa223c |
537 | {336L, 24, 3, |
5523645e |
538 | "QTKJWONXESRIHVUMLDCPGFAB" "JNEQRHTUKLWCOPXFSAIVBMDG" |
539 | "HENOPJKLTUVBQRSAXFGWCDMI"}, |
d8fa223c |
540 | /* order 25 */ |
5523645e |
541 | {20L, 25, 1, "EHILMNPQRSFTUVBJWXDOYGAKC"}, |
542 | {480L, 25, 2, "EHILMNPQRSCTUVBFWXDJYGOKA" "BDEGHIKLMNAPQRSCTUVFWXJYO"}, |
d8fa223c |
543 | /* order 26 */ |
544 | {156L, 26, 2, |
5523645e |
545 | "EXGZIBKDMFOHQJSLUNWPYRATCV" "BADCFEHGJILKNMPORQTSVUXWZY"}, |
546 | {12L, 26, 1, "FEHGJILKNMPORQTSVUXWZYBADC"}, |
d8fa223c |
547 | }; |
548 | |
549 | static const struct groups groups[] = { |
5523645e |
550 | {0, NULL}, /* trivial case: 0 */ |
551 | {0, NULL}, /* trivial case: 1 */ |
552 | {1, groupdata + 0}, /* 2 */ |
553 | {1, groupdata + 1}, /* 3 */ |
554 | {2, groupdata + 2}, /* 4 */ |
555 | {1, groupdata + 4}, /* 5 */ |
556 | {2, groupdata + 5}, /* 6 */ |
557 | {1, groupdata + 7}, /* 7 */ |
558 | {5, groupdata + 8}, /* 8 */ |
559 | {2, groupdata + 13}, /* 9 */ |
560 | {2, groupdata + 15}, /* 10 */ |
561 | {1, groupdata + 17}, /* 11 */ |
562 | {5, groupdata + 18}, /* 12 */ |
563 | {1, groupdata + 23}, /* 13 */ |
564 | {2, groupdata + 24}, /* 14 */ |
565 | {1, groupdata + 26}, /* 15 */ |
566 | {14, groupdata + 27}, /* 16 */ |
567 | {1, groupdata + 41}, /* 17 */ |
568 | {5, groupdata + 42}, /* 18 */ |
569 | {1, groupdata + 47}, /* 19 */ |
570 | {5, groupdata + 48}, /* 20 */ |
571 | {2, groupdata + 53}, /* 21 */ |
572 | {2, groupdata + 55}, /* 22 */ |
573 | {1, groupdata + 57}, /* 23 */ |
574 | {15, groupdata + 58}, /* 24 */ |
575 | {2, groupdata + 73}, /* 25 */ |
576 | {2, groupdata + 75}, /* 26 */ |
d8fa223c |
577 | }; |
578 | |
579 | /* ----- data generated by group.gap ends ----- */ |
580 | |
581 | static char *new_game_desc(game_params *params, random_state *rs, |
582 | char **aux, int interactive) |
583 | { |
584 | int w = params->w, a = w*w; |
585 | digit *grid, *soln, *soln2; |
586 | int *indices; |
587 | int i, j, k, qh, qt; |
588 | int diff = params->diff; |
589 | const struct group *group; |
590 | char *desc, *p; |
591 | |
592 | /* |
593 | * Difficulty exceptions: some combinations of size and |
594 | * difficulty cannot be satisfied, because all puzzles of at |
595 | * most that difficulty are actually even easier. |
596 | * |
597 | * Remember to re-test this whenever a change is made to the |
598 | * solver logic! |
599 | * |
600 | * I tested it using the following shell command: |
601 | |
602 | for d in t n h x u; do |
5523645e |
603 | for id in '' i; do |
604 | for i in {3..9}; do |
605 | echo -n "./group --generate 1 ${i}d${d}${id}: " |
606 | perl -e 'alarm 30; exec @ARGV' \ |
607 | ./group --generate 1 ${i}d${d}${id} >/dev/null && echo ok |
608 | done |
d8fa223c |
609 | done |
610 | done |
611 | |
612 | * Of course, it's better to do that after taking the exceptions |
613 | * _out_, so as to detect exceptions that should be removed as |
614 | * well as those which should be added. |
615 | */ |
5523645e |
616 | if (w < 5 && diff == DIFF_UNREASONABLE) |
617 | diff--; |
618 | if ((w < 5 || ((w == 6 || w == 8) && params->id)) && diff == DIFF_EXTREME) |
d8fa223c |
619 | diff--; |
5523645e |
620 | if ((w < 6 || (w == 6 && params->id)) && diff == DIFF_HARD) |
d8fa223c |
621 | diff--; |
5523645e |
622 | if ((w < 4 || (w == 4 && params->id)) && diff == DIFF_NORMAL) |
623 | diff--; |
d8fa223c |
624 | |
625 | grid = snewn(a, digit); |
626 | soln = snewn(a, digit); |
627 | soln2 = snewn(a, digit); |
628 | indices = snewn(a, int); |
629 | |
630 | while (1) { |
631 | /* |
632 | * Construct a valid group table, by picking a group from |
633 | * the above data table, decompressing it into a full |
634 | * representation by BFS, and then randomly permuting its |
635 | * non-identity elements. |
636 | * |
637 | * We build the canonical table in 'soln' (and use 'grid' as |
638 | * our BFS queue), then transfer the table into 'grid' |
639 | * having shuffled the rows. |
640 | */ |
641 | assert(w >= 2); |
642 | assert(w < lenof(groups)); |
643 | group = groups[w].groups + random_upto(rs, groups[w].ngroups); |
644 | assert(group->order == w); |
645 | memset(soln, 0, a); |
646 | for (i = 0; i < w; i++) |
647 | soln[i] = i+1; |
648 | qh = qt = 0; |
649 | grid[qt++] = 1; |
650 | while (qh < qt) { |
651 | digit *row, *newrow; |
652 | |
653 | i = grid[qh++]; |
654 | row = soln + (i-1)*w; |
655 | |
656 | for (j = 0; j < group->ngens; j++) { |
657 | int nri; |
658 | const char *gen = group->gens + j*w; |
659 | |
660 | /* |
661 | * Apply each group generator to row, constructing a |
662 | * new row. |
663 | */ |
5523645e |
664 | nri = gen[row[0]-1] - 'A' + 1; /* which row is it? */ |
d8fa223c |
665 | newrow = soln + (nri-1)*w; |
666 | if (!newrow[0]) { /* not done yet */ |
667 | for (k = 0; k < w; k++) |
5523645e |
668 | newrow[k] = gen[row[k]-1] - 'A' + 1; |
d8fa223c |
669 | grid[qt++] = nri; |
670 | } |
671 | } |
672 | } |
673 | /* That's got the canonical table. Now shuffle it. */ |
674 | for (i = 0; i < w; i++) |
b84b31a8 |
675 | soln2[i] = i; |
676 | if (params->id) /* do we shuffle in the identity? */ |
677 | shuffle(soln2+1, w-1, sizeof(*soln2), rs); |
678 | else |
679 | shuffle(soln2, w, sizeof(*soln2), rs); |
d8fa223c |
680 | for (i = 0; i < w; i++) |
b84b31a8 |
681 | for (j = 0; j < w; j++) |
682 | grid[(soln2[i])*w+(soln2[j])] = soln2[soln[i*w+j]-1]+1; |
d8fa223c |
683 | |
684 | /* |
685 | * Remove entries one by one while the puzzle is still |
686 | * soluble at the appropriate difficulty level. |
687 | */ |
688 | memcpy(soln, grid, a); |
b84b31a8 |
689 | if (!params->id) { |
690 | /* |
691 | * Start by blanking the entire identity row and column, |
692 | * and also another row and column so that the player |
693 | * can't trivially determine which element is the |
694 | * identity. |
695 | */ |
696 | |
697 | j = 1 + random_upto(rs, w-1); /* pick a second row/col to blank */ |
698 | for (i = 0; i < w; i++) { |
699 | grid[(soln2[0])*w+i] = grid[i*w+(soln2[0])] = 0; |
700 | grid[(soln2[j])*w+i] = grid[i*w+(soln2[j])] = 0; |
701 | } |
702 | |
703 | memcpy(soln2, grid, a); |
5523645e |
704 | if (solver(params, soln2, diff) > diff) |
b84b31a8 |
705 | continue; /* go round again if that didn't work */ |
706 | } |
d8fa223c |
707 | |
708 | k = 0; |
b84b31a8 |
709 | for (i = (params->id ? 1 : 0); i < w; i++) |
710 | for (j = (params->id ? 1 : 0); j < w; j++) |
711 | if (grid[i*w+j]) |
712 | indices[k++] = i*w+j; |
7a8dfea2 |
713 | shuffle(indices, k, sizeof(*indices), rs); |
d8fa223c |
714 | |
715 | for (i = 0; i < k; i++) { |
716 | memcpy(soln2, grid, a); |
717 | soln2[indices[i]] = 0; |
5523645e |
718 | if (solver(params, soln2, diff) <= diff) |
d8fa223c |
719 | grid[indices[i]] = 0; |
720 | } |
721 | |
722 | /* |
723 | * Make sure the puzzle isn't too easy. |
724 | */ |
725 | if (diff > 0) { |
726 | memcpy(soln2, grid, a); |
5523645e |
727 | if (solver(params, soln2, diff-1) < diff) |
d8fa223c |
728 | continue; /* go round and try again */ |
729 | } |
730 | |
731 | /* |
732 | * Done. |
733 | */ |
734 | break; |
735 | } |
736 | |
737 | /* |
738 | * Encode the puzzle description. |
739 | */ |
740 | desc = snewn(a*20, char); |
741 | p = encode_grid(desc, grid, a); |
742 | *p++ = '\0'; |
743 | desc = sresize(desc, p - desc, char); |
744 | |
745 | /* |
746 | * Encode the solution. |
747 | */ |
748 | *aux = snewn(a+2, char); |
749 | (*aux)[0] = 'S'; |
750 | for (i = 0; i < a; i++) |
5523645e |
751 | (*aux)[i+1] = TOCHAR(soln[i], params->id); |
d8fa223c |
752 | (*aux)[a+1] = '\0'; |
753 | |
754 | sfree(grid); |
755 | sfree(soln); |
756 | sfree(soln2); |
757 | sfree(indices); |
758 | |
759 | return desc; |
760 | } |
761 | |
762 | /* ---------------------------------------------------------------------- |
763 | * Gameplay. |
764 | */ |
765 | |
766 | static char *validate_grid_desc(const char **pdesc, int range, int area) |
767 | { |
768 | const char *desc = *pdesc; |
769 | int squares = 0; |
770 | while (*desc && *desc != ',') { |
771 | int n = *desc++; |
772 | if (n >= 'a' && n <= 'z') { |
773 | squares += n - 'a' + 1; |
774 | } else if (n == '_') { |
775 | /* do nothing */; |
776 | } else if (n > '0' && n <= '9') { |
777 | int val = atoi(desc-1); |
778 | if (val < 1 || val > range) |
779 | return "Out-of-range number in game description"; |
780 | squares++; |
781 | while (*desc >= '0' && *desc <= '9') |
782 | desc++; |
783 | } else |
784 | return "Invalid character in game description"; |
785 | } |
786 | |
787 | if (squares < area) |
788 | return "Not enough data to fill grid"; |
789 | |
790 | if (squares > area) |
791 | return "Too much data to fit in grid"; |
792 | *pdesc = desc; |
793 | return NULL; |
794 | } |
795 | |
796 | static char *validate_desc(game_params *params, char *desc) |
797 | { |
798 | int w = params->w, a = w*w; |
799 | const char *p = desc; |
800 | |
801 | return validate_grid_desc(&p, w, a); |
802 | } |
803 | |
804 | static char *spec_to_grid(char *desc, digit *grid, int area) |
805 | { |
806 | int i = 0; |
807 | while (*desc && *desc != ',') { |
808 | int n = *desc++; |
809 | if (n >= 'a' && n <= 'z') { |
810 | int run = n - 'a' + 1; |
811 | assert(i + run <= area); |
812 | while (run-- > 0) |
813 | grid[i++] = 0; |
814 | } else if (n == '_') { |
815 | /* do nothing */; |
816 | } else if (n > '0' && n <= '9') { |
817 | assert(i < area); |
818 | grid[i++] = atoi(desc-1); |
819 | while (*desc >= '0' && *desc <= '9') |
820 | desc++; |
821 | } else { |
822 | assert(!"We can't get here"); |
823 | } |
824 | } |
825 | assert(i == area); |
826 | return desc; |
827 | } |
828 | |
829 | static game_state *new_game(midend *me, game_params *params, char *desc) |
830 | { |
831 | int w = params->w, a = w*w; |
832 | game_state *state = snew(game_state); |
833 | int i; |
834 | |
835 | state->par = *params; /* structure copy */ |
836 | state->grid = snewn(a, digit); |
837 | state->immutable = snewn(a, unsigned char); |
838 | state->pencil = snewn(a, int); |
839 | for (i = 0; i < a; i++) { |
840 | state->grid[i] = 0; |
841 | state->immutable[i] = 0; |
842 | state->pencil[i] = 0; |
843 | } |
844 | |
845 | desc = spec_to_grid(desc, state->grid, a); |
846 | for (i = 0; i < a; i++) |
847 | if (state->grid[i] != 0) |
848 | state->immutable[i] = TRUE; |
849 | |
850 | state->completed = state->cheated = FALSE; |
851 | |
852 | return state; |
853 | } |
854 | |
855 | static game_state *dup_game(game_state *state) |
856 | { |
857 | int w = state->par.w, a = w*w; |
858 | game_state *ret = snew(game_state); |
859 | |
860 | ret->par = state->par; /* structure copy */ |
861 | |
862 | ret->grid = snewn(a, digit); |
863 | ret->immutable = snewn(a, unsigned char); |
864 | ret->pencil = snewn(a, int); |
865 | memcpy(ret->grid, state->grid, a*sizeof(digit)); |
866 | memcpy(ret->immutable, state->immutable, a*sizeof(unsigned char)); |
867 | memcpy(ret->pencil, state->pencil, a*sizeof(int)); |
868 | |
869 | ret->completed = state->completed; |
870 | ret->cheated = state->cheated; |
871 | |
872 | return ret; |
873 | } |
874 | |
875 | static void free_game(game_state *state) |
876 | { |
877 | sfree(state->grid); |
878 | sfree(state->immutable); |
879 | sfree(state->pencil); |
880 | sfree(state); |
881 | } |
882 | |
883 | static char *solve_game(game_state *state, game_state *currstate, |
884 | char *aux, char **error) |
885 | { |
886 | int w = state->par.w, a = w*w; |
887 | int i, ret; |
888 | digit *soln; |
889 | char *out; |
890 | |
891 | if (aux) |
892 | return dupstr(aux); |
893 | |
894 | soln = snewn(a, digit); |
895 | memcpy(soln, state->grid, a*sizeof(digit)); |
896 | |
5523645e |
897 | ret = solver(&state->par, soln, DIFFCOUNT-1); |
d8fa223c |
898 | |
899 | if (ret == diff_impossible) { |
900 | *error = "No solution exists for this puzzle"; |
901 | out = NULL; |
902 | } else if (ret == diff_ambiguous) { |
903 | *error = "Multiple solutions exist for this puzzle"; |
904 | out = NULL; |
905 | } else { |
906 | out = snewn(a+2, char); |
907 | out[0] = 'S'; |
908 | for (i = 0; i < a; i++) |
5523645e |
909 | out[i+1] = TOCHAR(soln[i], state->par.id); |
d8fa223c |
910 | out[a+1] = '\0'; |
911 | } |
912 | |
913 | sfree(soln); |
914 | return out; |
915 | } |
916 | |
917 | static int game_can_format_as_text_now(game_params *params) |
918 | { |
919 | return TRUE; |
920 | } |
921 | |
922 | static char *game_text_format(game_state *state) |
923 | { |
924 | int w = state->par.w; |
925 | int x, y; |
926 | char *ret, *p, ch; |
927 | |
928 | ret = snewn(2*w*w+1, char); /* leave room for terminating NUL */ |
929 | |
930 | p = ret; |
931 | for (y = 0; y < w; y++) { |
932 | for (x = 0; x < w; x++) { |
933 | digit d = state->grid[y*w+x]; |
934 | |
935 | if (d == 0) { |
936 | ch = '.'; |
937 | } else { |
5523645e |
938 | ch = TOCHAR(d, state->par.id); |
d8fa223c |
939 | } |
940 | |
941 | *p++ = ch; |
942 | if (x == w-1) { |
943 | *p++ = '\n'; |
944 | } else { |
945 | *p++ = ' '; |
946 | } |
947 | } |
948 | } |
949 | |
950 | assert(p - ret == 2*w*w); |
951 | *p = '\0'; |
952 | return ret; |
953 | } |
954 | |
955 | struct game_ui { |
956 | /* |
957 | * These are the coordinates of the currently highlighted |
958 | * square on the grid, if hshow = 1. |
959 | */ |
960 | int hx, hy; |
961 | /* |
962 | * This indicates whether the current highlight is a |
963 | * pencil-mark one or a real one. |
964 | */ |
965 | int hpencil; |
966 | /* |
967 | * This indicates whether or not we're showing the highlight |
968 | * (used to be hx = hy = -1); important so that when we're |
969 | * using the cursor keys it doesn't keep coming back at a |
970 | * fixed position. When hshow = 1, pressing a valid number |
971 | * or letter key or Space will enter that number or letter in the grid. |
972 | */ |
973 | int hshow; |
974 | /* |
975 | * This indicates whether we're using the highlight as a cursor; |
976 | * it means that it doesn't vanish on a keypress, and that it is |
977 | * allowed on immutable squares. |
978 | */ |
979 | int hcursor; |
980 | }; |
981 | |
982 | static game_ui *new_ui(game_state *state) |
983 | { |
984 | game_ui *ui = snew(game_ui); |
985 | |
b84b31a8 |
986 | ui->hx = ui->hy = 0; |
d8fa223c |
987 | ui->hpencil = ui->hshow = ui->hcursor = 0; |
988 | |
989 | return ui; |
990 | } |
991 | |
992 | static void free_ui(game_ui *ui) |
993 | { |
994 | sfree(ui); |
995 | } |
996 | |
997 | static char *encode_ui(game_ui *ui) |
998 | { |
999 | return NULL; |
1000 | } |
1001 | |
1002 | static void decode_ui(game_ui *ui, char *encoding) |
1003 | { |
1004 | } |
1005 | |
1006 | static void game_changed_state(game_ui *ui, game_state *oldstate, |
1007 | game_state *newstate) |
1008 | { |
1009 | int w = newstate->par.w; |
1010 | /* |
1011 | * We prevent pencil-mode highlighting of a filled square, unless |
1012 | * we're using the cursor keys. So if the user has just filled in |
1013 | * a square which we had a pencil-mode highlight in (by Undo, or |
1014 | * by Redo, or by Solve), then we cancel the highlight. |
1015 | */ |
1016 | if (ui->hshow && ui->hpencil && !ui->hcursor && |
1017 | newstate->grid[ui->hy * w + ui->hx] != 0) { |
1018 | ui->hshow = 0; |
1019 | } |
1020 | } |
1021 | |
1022 | #define PREFERRED_TILESIZE 48 |
1023 | #define TILESIZE (ds->tilesize) |
1024 | #define BORDER (TILESIZE / 2) |
b84b31a8 |
1025 | #define LEGEND (TILESIZE) |
d8fa223c |
1026 | #define GRIDEXTRA max((TILESIZE / 32),1) |
b84b31a8 |
1027 | #define COORD(x) ((x)*TILESIZE + BORDER + LEGEND) |
1028 | #define FROMCOORD(x) (((x)+(TILESIZE-BORDER-LEGEND)) / TILESIZE - 1) |
d8fa223c |
1029 | |
1030 | #define FLASH_TIME 0.4F |
1031 | |
1032 | #define DF_HIGHLIGHT 0x0400 |
1033 | #define DF_HIGHLIGHT_PENCIL 0x0200 |
1034 | #define DF_IMMUTABLE 0x0100 |
1035 | #define DF_DIGIT_MASK 0x001F |
1036 | |
1037 | #define EF_DIGIT_SHIFT 5 |
1038 | #define EF_DIGIT_MASK ((1 << EF_DIGIT_SHIFT) - 1) |
1039 | #define EF_LEFT_SHIFT 0 |
1040 | #define EF_RIGHT_SHIFT (3*EF_DIGIT_SHIFT) |
1041 | #define EF_LEFT_MASK ((1UL << (3*EF_DIGIT_SHIFT)) - 1UL) |
1042 | #define EF_RIGHT_MASK (EF_LEFT_MASK << EF_RIGHT_SHIFT) |
1043 | #define EF_LATIN (1UL << (6*EF_DIGIT_SHIFT)) |
1044 | |
1045 | struct game_drawstate { |
5523645e |
1046 | game_params par; |
d8fa223c |
1047 | int w, tilesize; |
1048 | int started; |
1049 | long *tiles, *pencil, *errors; |
1050 | long *errtmp; |
1051 | }; |
1052 | |
1053 | static int check_errors(game_state *state, long *errors) |
1054 | { |
1055 | int w = state->par.w, a = w*w; |
1056 | digit *grid = state->grid; |
1057 | int i, j, k, x, y, errs = FALSE; |
1058 | |
05d6901a |
1059 | /* |
1060 | * To verify that we have a valid group table, it suffices to |
1061 | * test latin-square-hood and associativity only. All the other |
1062 | * group axioms follow from those two. |
1063 | * |
1064 | * Proof: |
1065 | * |
1066 | * Associativity is given; closure is obvious from latin- |
1067 | * square-hood. We need to show that an identity exists and that |
1068 | * every element has an inverse. |
1069 | * |
1070 | * Identity: take any element a. There will be some element e |
1071 | * such that ea=a (in a latin square, every element occurs in |
1072 | * every row and column, so a must occur somewhere in the a |
1073 | * column, say on row e). For any other element b, there must |
1074 | * exist x such that ax=b (same argument from latin-square-hood |
1075 | * again), and then associativity gives us eb = e(ax) = (ea)x = |
1076 | * ax = b. Hence eb=b for all b, i.e. e is a left-identity. A |
1077 | * similar argument tells us that there must be some f which is |
1078 | * a right-identity, and then we show they are the same element |
1079 | * by observing that ef must simultaneously equal e and equal f. |
1080 | * |
1081 | * Inverses: given any a, by the latin-square argument again, |
1082 | * there must exist p and q such that pa=e and aq=e (i.e. left- |
1083 | * and right-inverses). We can show these are equal by |
1084 | * associativity: p = pe = p(aq) = (pa)q = eq = q. [] |
1085 | */ |
1086 | |
d8fa223c |
1087 | if (errors) |
1088 | for (i = 0; i < a; i++) |
1089 | errors[i] = 0; |
1090 | |
1091 | for (y = 0; y < w; y++) { |
1092 | unsigned long mask = 0, errmask = 0; |
1093 | for (x = 0; x < w; x++) { |
1094 | unsigned long bit = 1UL << grid[y*w+x]; |
1095 | errmask |= (mask & bit); |
1096 | mask |= bit; |
1097 | } |
1098 | |
1099 | if (mask != (1 << (w+1)) - (1 << 1)) { |
1100 | errs = TRUE; |
1101 | errmask &= ~1UL; |
1102 | if (errors) { |
1103 | for (x = 0; x < w; x++) |
1104 | if (errmask & (1UL << grid[y*w+x])) |
1105 | errors[y*w+x] |= EF_LATIN; |
1106 | } |
1107 | } |
1108 | } |
1109 | |
1110 | for (x = 0; x < w; x++) { |
1111 | unsigned long mask = 0, errmask = 0; |
1112 | for (y = 0; y < w; y++) { |
1113 | unsigned long bit = 1UL << grid[y*w+x]; |
1114 | errmask |= (mask & bit); |
1115 | mask |= bit; |
1116 | } |
1117 | |
1118 | if (mask != (1 << (w+1)) - (1 << 1)) { |
1119 | errs = TRUE; |
1120 | errmask &= ~1UL; |
1121 | if (errors) { |
1122 | for (y = 0; y < w; y++) |
1123 | if (errmask & (1UL << grid[y*w+x])) |
1124 | errors[y*w+x] |= EF_LATIN; |
1125 | } |
1126 | } |
1127 | } |
1128 | |
1129 | for (i = 1; i < w; i++) |
1130 | for (j = 1; j < w; j++) |
1131 | for (k = 1; k < w; k++) |
1132 | if (grid[i*w+j] && grid[j*w+k] && |
1133 | grid[(grid[i*w+j]-1)*w+k] && |
1134 | grid[i*w+(grid[j*w+k]-1)] && |
1135 | grid[(grid[i*w+j]-1)*w+k] != grid[i*w+(grid[j*w+k]-1)]) { |
1136 | if (errors) { |
1137 | int a = i+1, b = j+1, c = k+1; |
1138 | int ab = grid[i*w+j], bc = grid[j*w+k]; |
1139 | int left = (ab-1)*w+(c-1), right = (a-1)*w+(bc-1); |
1140 | /* |
1141 | * If the appropriate error slot is already |
1142 | * used for one of the squares, we don't |
1143 | * fill either of them. |
1144 | */ |
1145 | if (!(errors[left] & EF_LEFT_MASK) && |
1146 | !(errors[right] & EF_RIGHT_MASK)) { |
1147 | long err; |
1148 | err = a; |
1149 | err = (err << EF_DIGIT_SHIFT) | b; |
1150 | err = (err << EF_DIGIT_SHIFT) | c; |
1151 | errors[left] |= err << EF_LEFT_SHIFT; |
1152 | errors[right] |= err << EF_RIGHT_SHIFT; |
1153 | } |
1154 | } |
1155 | errs = TRUE; |
1156 | } |
1157 | |
1158 | return errs; |
1159 | } |
1160 | |
1161 | static char *interpret_move(game_state *state, game_ui *ui, game_drawstate *ds, |
1162 | int x, int y, int button) |
1163 | { |
1164 | int w = state->par.w; |
1165 | int tx, ty; |
1166 | char buf[80]; |
1167 | |
1168 | button &= ~MOD_MASK; |
1169 | |
1170 | tx = FROMCOORD(x); |
1171 | ty = FROMCOORD(y); |
1172 | |
b84b31a8 |
1173 | if (tx >= 0 && tx < w && ty >= 0 && ty < w) { |
d8fa223c |
1174 | if (button == LEFT_BUTTON) { |
1175 | if (tx == ui->hx && ty == ui->hy && |
1176 | ui->hshow && ui->hpencil == 0) { |
1177 | ui->hshow = 0; |
1178 | } else { |
1179 | ui->hx = tx; |
1180 | ui->hy = ty; |
1181 | ui->hshow = !state->immutable[ty*w+tx]; |
1182 | ui->hpencil = 0; |
1183 | } |
1184 | ui->hcursor = 0; |
1185 | return ""; /* UI activity occurred */ |
1186 | } |
1187 | if (button == RIGHT_BUTTON) { |
1188 | /* |
1189 | * Pencil-mode highlighting for non filled squares. |
1190 | */ |
1191 | if (state->grid[ty*w+tx] == 0) { |
1192 | if (tx == ui->hx && ty == ui->hy && |
1193 | ui->hshow && ui->hpencil) { |
1194 | ui->hshow = 0; |
1195 | } else { |
1196 | ui->hpencil = 1; |
1197 | ui->hx = tx; |
1198 | ui->hy = ty; |
1199 | ui->hshow = 1; |
1200 | } |
1201 | } else { |
1202 | ui->hshow = 0; |
1203 | } |
1204 | ui->hcursor = 0; |
1205 | return ""; /* UI activity occurred */ |
1206 | } |
1207 | } |
1208 | if (IS_CURSOR_MOVE(button)) { |
b84b31a8 |
1209 | move_cursor(button, &ui->hx, &ui->hy, w, w, 0); |
d8fa223c |
1210 | ui->hshow = ui->hcursor = 1; |
1211 | return ""; |
1212 | } |
1213 | if (ui->hshow && |
1214 | (button == CURSOR_SELECT)) { |
1215 | ui->hpencil = 1 - ui->hpencil; |
1216 | ui->hcursor = 1; |
1217 | return ""; |
1218 | } |
1219 | |
1220 | if (ui->hshow && |
5523645e |
1221 | ((ISCHAR(button) && FROMCHAR(button, state->par.id) <= w) || |
d8fa223c |
1222 | button == CURSOR_SELECT2 || button == '\b')) { |
5523645e |
1223 | int n = FROMCHAR(button, state->par.id); |
d8fa223c |
1224 | if (button == CURSOR_SELECT2 || button == '\b') |
1225 | n = 0; |
1226 | |
1227 | /* |
1228 | * Can't make pencil marks in a filled square. This can only |
1229 | * become highlighted if we're using cursor keys. |
1230 | */ |
1231 | if (ui->hpencil && state->grid[ui->hy*w+ui->hx]) |
1232 | return NULL; |
1233 | |
1234 | /* |
1235 | * Can't do anything to an immutable square. |
1236 | */ |
1237 | if (state->immutable[ui->hy*w+ui->hx]) |
1238 | return NULL; |
1239 | |
1240 | sprintf(buf, "%c%d,%d,%d", |
1241 | (char)(ui->hpencil && n > 0 ? 'P' : 'R'), ui->hx, ui->hy, n); |
1242 | |
1243 | if (!ui->hcursor) ui->hshow = 0; |
1244 | |
1245 | return dupstr(buf); |
1246 | } |
1247 | |
1248 | if (button == 'M' || button == 'm') |
1249 | return dupstr("M"); |
1250 | |
1251 | return NULL; |
1252 | } |
1253 | |
1254 | static game_state *execute_move(game_state *from, char *move) |
1255 | { |
1256 | int w = from->par.w, a = w*w; |
1257 | game_state *ret; |
1258 | int x, y, i, n; |
1259 | |
1260 | if (move[0] == 'S') { |
1261 | ret = dup_game(from); |
1262 | ret->completed = ret->cheated = TRUE; |
1263 | |
1264 | for (i = 0; i < a; i++) { |
5523645e |
1265 | if (!ISCHAR(move[i+1]) || FROMCHAR(move[i+1], from->par.id) > w) { |
d8fa223c |
1266 | free_game(ret); |
1267 | return NULL; |
1268 | } |
5523645e |
1269 | ret->grid[i] = FROMCHAR(move[i+1], from->par.id); |
d8fa223c |
1270 | ret->pencil[i] = 0; |
1271 | } |
1272 | |
1273 | if (move[a+1] != '\0') { |
1274 | free_game(ret); |
1275 | return NULL; |
1276 | } |
1277 | |
1278 | return ret; |
1279 | } else if ((move[0] == 'P' || move[0] == 'R') && |
1280 | sscanf(move+1, "%d,%d,%d", &x, &y, &n) == 3 && |
1281 | x >= 0 && x < w && y >= 0 && y < w && n >= 0 && n <= w) { |
1282 | if (from->immutable[y*w+x]) |
1283 | return NULL; |
1284 | |
1285 | ret = dup_game(from); |
1286 | if (move[0] == 'P' && n > 0) { |
1287 | ret->pencil[y*w+x] ^= 1 << n; |
1288 | } else { |
1289 | ret->grid[y*w+x] = n; |
1290 | ret->pencil[y*w+x] = 0; |
1291 | |
1292 | if (!ret->completed && !check_errors(ret, NULL)) |
1293 | ret->completed = TRUE; |
1294 | } |
1295 | return ret; |
1296 | } else if (move[0] == 'M') { |
1297 | /* |
1298 | * Fill in absolutely all pencil marks everywhere. (I |
1299 | * wouldn't use this for actual play, but it's a handy |
1300 | * starting point when following through a set of |
1301 | * diagnostics output by the standalone solver.) |
1302 | */ |
1303 | ret = dup_game(from); |
1304 | for (i = 0; i < a; i++) { |
1305 | if (!ret->grid[i]) |
1306 | ret->pencil[i] = (1 << (w+1)) - (1 << 1); |
1307 | } |
1308 | return ret; |
1309 | } else |
1310 | return NULL; /* couldn't parse move string */ |
1311 | } |
1312 | |
1313 | /* ---------------------------------------------------------------------- |
1314 | * Drawing routines. |
1315 | */ |
1316 | |
b84b31a8 |
1317 | #define SIZE(w) ((w) * TILESIZE + 2*BORDER + LEGEND) |
d8fa223c |
1318 | |
1319 | static void game_compute_size(game_params *params, int tilesize, |
1320 | int *x, int *y) |
1321 | { |
1322 | /* Ick: fake up `ds->tilesize' for macro expansion purposes */ |
1323 | struct { int tilesize; } ads, *ds = &ads; |
1324 | ads.tilesize = tilesize; |
1325 | |
1326 | *x = *y = SIZE(params->w); |
1327 | } |
1328 | |
1329 | static void game_set_size(drawing *dr, game_drawstate *ds, |
1330 | game_params *params, int tilesize) |
1331 | { |
1332 | ds->tilesize = tilesize; |
1333 | } |
1334 | |
1335 | static float *game_colours(frontend *fe, int *ncolours) |
1336 | { |
1337 | float *ret = snewn(3 * NCOLOURS, float); |
1338 | |
1339 | frontend_default_colour(fe, &ret[COL_BACKGROUND * 3]); |
1340 | |
1341 | ret[COL_GRID * 3 + 0] = 0.0F; |
1342 | ret[COL_GRID * 3 + 1] = 0.0F; |
1343 | ret[COL_GRID * 3 + 2] = 0.0F; |
1344 | |
d8fa223c |
1345 | ret[COL_USER * 3 + 0] = 0.0F; |
1346 | ret[COL_USER * 3 + 1] = 0.6F * ret[COL_BACKGROUND * 3 + 1]; |
1347 | ret[COL_USER * 3 + 2] = 0.0F; |
1348 | |
1349 | ret[COL_HIGHLIGHT * 3 + 0] = 0.78F * ret[COL_BACKGROUND * 3 + 0]; |
1350 | ret[COL_HIGHLIGHT * 3 + 1] = 0.78F * ret[COL_BACKGROUND * 3 + 1]; |
1351 | ret[COL_HIGHLIGHT * 3 + 2] = 0.78F * ret[COL_BACKGROUND * 3 + 2]; |
1352 | |
1353 | ret[COL_ERROR * 3 + 0] = 1.0F; |
1354 | ret[COL_ERROR * 3 + 1] = 0.0F; |
1355 | ret[COL_ERROR * 3 + 2] = 0.0F; |
1356 | |
1357 | ret[COL_PENCIL * 3 + 0] = 0.5F * ret[COL_BACKGROUND * 3 + 0]; |
1358 | ret[COL_PENCIL * 3 + 1] = 0.5F * ret[COL_BACKGROUND * 3 + 1]; |
1359 | ret[COL_PENCIL * 3 + 2] = ret[COL_BACKGROUND * 3 + 2]; |
1360 | |
1361 | *ncolours = NCOLOURS; |
1362 | return ret; |
1363 | } |
1364 | |
1365 | static game_drawstate *game_new_drawstate(drawing *dr, game_state *state) |
1366 | { |
1367 | int w = state->par.w, a = w*w; |
1368 | struct game_drawstate *ds = snew(struct game_drawstate); |
1369 | int i; |
1370 | |
1371 | ds->w = w; |
5523645e |
1372 | ds->par = state->par; /* structure copy */ |
d8fa223c |
1373 | ds->tilesize = 0; |
1374 | ds->started = FALSE; |
1375 | ds->tiles = snewn(a, long); |
1376 | ds->pencil = snewn(a, long); |
1377 | ds->errors = snewn(a, long); |
1378 | for (i = 0; i < a; i++) |
1379 | ds->tiles[i] = ds->pencil[i] = -1; |
1380 | ds->errtmp = snewn(a, long); |
1381 | |
1382 | return ds; |
1383 | } |
1384 | |
1385 | static void game_free_drawstate(drawing *dr, game_drawstate *ds) |
1386 | { |
1387 | sfree(ds->tiles); |
1388 | sfree(ds->pencil); |
1389 | sfree(ds->errors); |
1390 | sfree(ds->errtmp); |
1391 | sfree(ds); |
1392 | } |
1393 | |
d2cfd12c |
1394 | static void draw_tile(drawing *dr, game_drawstate *ds, int x, int y, long tile, |
1395 | long pencil, long error) |
d8fa223c |
1396 | { |
1397 | int w = ds->w /* , a = w*w */; |
1398 | int tx, ty, tw, th; |
1399 | int cx, cy, cw, ch; |
1400 | char str[64]; |
1401 | |
b84b31a8 |
1402 | tx = BORDER + LEGEND + x * TILESIZE + 1; |
1403 | ty = BORDER + LEGEND + y * TILESIZE + 1; |
d8fa223c |
1404 | |
1405 | cx = tx; |
1406 | cy = ty; |
1407 | cw = tw = TILESIZE-1; |
1408 | ch = th = TILESIZE-1; |
1409 | |
1410 | clip(dr, cx, cy, cw, ch); |
1411 | |
1412 | /* background needs erasing */ |
1413 | draw_rect(dr, cx, cy, cw, ch, |
b84b31a8 |
1414 | (tile & DF_HIGHLIGHT) ? COL_HIGHLIGHT : COL_BACKGROUND); |
d8fa223c |
1415 | |
1416 | /* pencil-mode highlight */ |
1417 | if (tile & DF_HIGHLIGHT_PENCIL) { |
1418 | int coords[6]; |
1419 | coords[0] = cx; |
1420 | coords[1] = cy; |
1421 | coords[2] = cx+cw/2; |
1422 | coords[3] = cy; |
1423 | coords[4] = cx; |
1424 | coords[5] = cy+ch/2; |
1425 | draw_polygon(dr, coords, 3, COL_HIGHLIGHT, COL_HIGHLIGHT); |
1426 | } |
1427 | |
1428 | /* new number needs drawing? */ |
1429 | if (tile & DF_DIGIT_MASK) { |
1430 | str[1] = '\0'; |
5523645e |
1431 | str[0] = TOCHAR(tile & DF_DIGIT_MASK, ds->par.id); |
d8fa223c |
1432 | draw_text(dr, tx + TILESIZE/2, ty + TILESIZE/2, |
1433 | FONT_VARIABLE, TILESIZE/2, ALIGN_VCENTRE | ALIGN_HCENTRE, |
1434 | (error & EF_LATIN) ? COL_ERROR : |
1435 | (tile & DF_IMMUTABLE) ? COL_GRID : COL_USER, str); |
1436 | |
1437 | if (error & EF_LEFT_MASK) { |
1438 | int a = (error >> (EF_LEFT_SHIFT+2*EF_DIGIT_SHIFT))&EF_DIGIT_MASK; |
1439 | int b = (error >> (EF_LEFT_SHIFT+1*EF_DIGIT_SHIFT))&EF_DIGIT_MASK; |
1440 | int c = (error >> (EF_LEFT_SHIFT ))&EF_DIGIT_MASK; |
1441 | char buf[10]; |
5523645e |
1442 | sprintf(buf, "(%c%c)%c", TOCHAR(a, ds->par.id), |
1443 | TOCHAR(b, ds->par.id), TOCHAR(c, ds->par.id)); |
d8fa223c |
1444 | draw_text(dr, tx + TILESIZE/2, ty + TILESIZE/6, |
1445 | FONT_VARIABLE, TILESIZE/6, ALIGN_VCENTRE | ALIGN_HCENTRE, |
1446 | COL_ERROR, buf); |
1447 | } |
1448 | if (error & EF_RIGHT_MASK) { |
1449 | int a = (error >> (EF_RIGHT_SHIFT+2*EF_DIGIT_SHIFT))&EF_DIGIT_MASK; |
1450 | int b = (error >> (EF_RIGHT_SHIFT+1*EF_DIGIT_SHIFT))&EF_DIGIT_MASK; |
1451 | int c = (error >> (EF_RIGHT_SHIFT ))&EF_DIGIT_MASK; |
1452 | char buf[10]; |
5523645e |
1453 | sprintf(buf, "%c(%c%c)", TOCHAR(a, ds->par.id), |
1454 | TOCHAR(b, ds->par.id), TOCHAR(c, ds->par.id)); |
d8fa223c |
1455 | draw_text(dr, tx + TILESIZE/2, ty + TILESIZE - TILESIZE/6, |
1456 | FONT_VARIABLE, TILESIZE/6, ALIGN_VCENTRE | ALIGN_HCENTRE, |
1457 | COL_ERROR, buf); |
1458 | } |
1459 | } else { |
1460 | int i, j, npencil; |
1461 | int pl, pr, pt, pb; |
1462 | float bestsize; |
1463 | int pw, ph, minph, pbest, fontsize; |
1464 | |
1465 | /* Count the pencil marks required. */ |
1466 | for (i = 1, npencil = 0; i <= w; i++) |
1467 | if (pencil & (1 << i)) |
1468 | npencil++; |
1469 | if (npencil) { |
1470 | |
1471 | minph = 2; |
1472 | |
1473 | /* |
1474 | * Determine the bounding rectangle within which we're going |
1475 | * to put the pencil marks. |
1476 | */ |
1477 | /* Start with the whole square */ |
1478 | pl = tx + GRIDEXTRA; |
1479 | pr = pl + TILESIZE - GRIDEXTRA; |
1480 | pt = ty + GRIDEXTRA; |
1481 | pb = pt + TILESIZE - GRIDEXTRA; |
1482 | |
1483 | /* |
1484 | * We arrange our pencil marks in a grid layout, with |
1485 | * the number of rows and columns adjusted to allow the |
1486 | * maximum font size. |
1487 | * |
1488 | * So now we work out what the grid size ought to be. |
1489 | */ |
1490 | bestsize = 0.0; |
1491 | pbest = 0; |
1492 | /* Minimum */ |
1493 | for (pw = 3; pw < max(npencil,4); pw++) { |
1494 | float fw, fh, fs; |
1495 | |
1496 | ph = (npencil + pw - 1) / pw; |
1497 | ph = max(ph, minph); |
1498 | fw = (pr - pl) / (float)pw; |
1499 | fh = (pb - pt) / (float)ph; |
1500 | fs = min(fw, fh); |
1501 | if (fs > bestsize) { |
1502 | bestsize = fs; |
1503 | pbest = pw; |
1504 | } |
1505 | } |
1506 | assert(pbest > 0); |
1507 | pw = pbest; |
1508 | ph = (npencil + pw - 1) / pw; |
1509 | ph = max(ph, minph); |
1510 | |
1511 | /* |
1512 | * Now we've got our grid dimensions, work out the pixel |
1513 | * size of a grid element, and round it to the nearest |
1514 | * pixel. (We don't want rounding errors to make the |
1515 | * grid look uneven at low pixel sizes.) |
1516 | */ |
1517 | fontsize = min((pr - pl) / pw, (pb - pt) / ph); |
1518 | |
1519 | /* |
1520 | * Centre the resulting figure in the square. |
1521 | */ |
1522 | pl = tx + (TILESIZE - fontsize * pw) / 2; |
1523 | pt = ty + (TILESIZE - fontsize * ph) / 2; |
1524 | |
1525 | /* |
1526 | * Now actually draw the pencil marks. |
1527 | */ |
1528 | for (i = 1, j = 0; i <= w; i++) |
1529 | if (pencil & (1 << i)) { |
1530 | int dx = j % pw, dy = j / pw; |
1531 | |
1532 | str[1] = '\0'; |
5523645e |
1533 | str[0] = TOCHAR(i, ds->par.id); |
d8fa223c |
1534 | draw_text(dr, pl + fontsize * (2*dx+1) / 2, |
1535 | pt + fontsize * (2*dy+1) / 2, |
1536 | FONT_VARIABLE, fontsize, |
1537 | ALIGN_VCENTRE | ALIGN_HCENTRE, COL_PENCIL, str); |
1538 | j++; |
1539 | } |
1540 | } |
1541 | } |
1542 | |
1543 | unclip(dr); |
1544 | |
1545 | draw_update(dr, cx, cy, cw, ch); |
1546 | } |
1547 | |
1548 | static void game_redraw(drawing *dr, game_drawstate *ds, game_state *oldstate, |
1549 | game_state *state, int dir, game_ui *ui, |
1550 | float animtime, float flashtime) |
1551 | { |
1552 | int w = state->par.w /*, a = w*w */; |
1553 | int x, y; |
1554 | |
1555 | if (!ds->started) { |
1556 | /* |
1557 | * The initial contents of the window are not guaranteed and |
1558 | * can vary with front ends. To be on the safe side, all |
1559 | * games should start by drawing a big background-colour |
1560 | * rectangle covering the whole window. |
1561 | */ |
1562 | draw_rect(dr, 0, 0, SIZE(w), SIZE(w), COL_BACKGROUND); |
1563 | |
1564 | /* |
1565 | * Big containing rectangle. |
1566 | */ |
1567 | draw_rect(dr, COORD(0) - GRIDEXTRA, COORD(0) - GRIDEXTRA, |
1568 | w*TILESIZE+1+GRIDEXTRA*2, w*TILESIZE+1+GRIDEXTRA*2, |
1569 | COL_GRID); |
1570 | |
b84b31a8 |
1571 | /* |
1572 | * Table legend. |
1573 | */ |
1574 | for (x = 0; x < w; x++) { |
1575 | char str[2]; |
1576 | str[1] = '\0'; |
5523645e |
1577 | str[0] = TOCHAR(x+1, ds->par.id); |
b84b31a8 |
1578 | draw_text(dr, COORD(x) + TILESIZE/2, BORDER + TILESIZE/2, |
1579 | FONT_VARIABLE, TILESIZE/2, |
1580 | ALIGN_VCENTRE | ALIGN_HCENTRE, COL_GRID, str); |
1581 | draw_text(dr, BORDER + TILESIZE/2, COORD(x) + TILESIZE/2, |
1582 | FONT_VARIABLE, TILESIZE/2, |
1583 | ALIGN_VCENTRE | ALIGN_HCENTRE, COL_GRID, str); |
1584 | } |
1585 | |
d8fa223c |
1586 | draw_update(dr, 0, 0, SIZE(w), SIZE(w)); |
1587 | |
1588 | ds->started = TRUE; |
1589 | } |
1590 | |
1591 | check_errors(state, ds->errtmp); |
1592 | |
1593 | for (y = 0; y < w; y++) { |
1594 | for (x = 0; x < w; x++) { |
1595 | long tile = 0L, pencil = 0L, error; |
1596 | |
1597 | if (state->grid[y*w+x]) |
1598 | tile = state->grid[y*w+x]; |
1599 | else |
1600 | pencil = (long)state->pencil[y*w+x]; |
1601 | |
1602 | if (state->immutable[y*w+x]) |
1603 | tile |= DF_IMMUTABLE; |
1604 | |
1605 | if (ui->hshow && ui->hx == x && ui->hy == y) |
1606 | tile |= (ui->hpencil ? DF_HIGHLIGHT_PENCIL : DF_HIGHLIGHT); |
1607 | |
1608 | if (flashtime > 0 && |
1609 | (flashtime <= FLASH_TIME/3 || |
1610 | flashtime >= FLASH_TIME*2/3)) |
1611 | tile |= DF_HIGHLIGHT; /* completion flash */ |
1612 | |
1613 | error = ds->errtmp[y*w+x]; |
1614 | |
1615 | if (ds->tiles[y*w+x] != tile || |
1616 | ds->pencil[y*w+x] != pencil || |
1617 | ds->errors[y*w+x] != error) { |
1618 | ds->tiles[y*w+x] = tile; |
1619 | ds->pencil[y*w+x] = pencil; |
1620 | ds->errors[y*w+x] = error; |
1621 | draw_tile(dr, ds, x, y, tile, pencil, error); |
1622 | } |
1623 | } |
1624 | } |
1625 | } |
1626 | |
1627 | static float game_anim_length(game_state *oldstate, game_state *newstate, |
1628 | int dir, game_ui *ui) |
1629 | { |
1630 | return 0.0F; |
1631 | } |
1632 | |
1633 | static float game_flash_length(game_state *oldstate, game_state *newstate, |
1634 | int dir, game_ui *ui) |
1635 | { |
1636 | if (!oldstate->completed && newstate->completed && |
1637 | !oldstate->cheated && !newstate->cheated) |
1638 | return FLASH_TIME; |
1639 | return 0.0F; |
1640 | } |
1641 | |
1642 | static int game_timing_state(game_state *state, game_ui *ui) |
1643 | { |
1644 | if (state->completed) |
1645 | return FALSE; |
1646 | return TRUE; |
1647 | } |
1648 | |
1649 | static void game_print_size(game_params *params, float *x, float *y) |
1650 | { |
1651 | int pw, ph; |
1652 | |
1653 | /* |
1654 | * We use 9mm squares by default, like Solo. |
1655 | */ |
1656 | game_compute_size(params, 900, &pw, &ph); |
1657 | *x = pw / 100.0F; |
1658 | *y = ph / 100.0F; |
1659 | } |
1660 | |
1661 | static void game_print(drawing *dr, game_state *state, int tilesize) |
1662 | { |
1663 | int w = state->par.w; |
1664 | int ink = print_mono_colour(dr, 0); |
d8fa223c |
1665 | int x, y; |
1666 | |
1667 | /* Ick: fake up `ds->tilesize' for macro expansion purposes */ |
1668 | game_drawstate ads, *ds = &ads; |
1669 | game_set_size(dr, ds, NULL, tilesize); |
1670 | |
1671 | /* |
b84b31a8 |
1672 | * Border. |
d8fa223c |
1673 | */ |
b84b31a8 |
1674 | print_line_width(dr, 3 * TILESIZE / 40); |
1675 | draw_rect_outline(dr, BORDER + LEGEND, BORDER + LEGEND, |
1676 | w*TILESIZE, w*TILESIZE, ink); |
d8fa223c |
1677 | |
1678 | /* |
b84b31a8 |
1679 | * Legend on table. |
d8fa223c |
1680 | */ |
b84b31a8 |
1681 | for (x = 0; x < w; x++) { |
1682 | char str[2]; |
1683 | str[1] = '\0'; |
5523645e |
1684 | str[0] = TOCHAR(x+1, state->par.id); |
b84b31a8 |
1685 | draw_text(dr, BORDER+LEGEND + x*TILESIZE + TILESIZE/2, |
1686 | BORDER + TILESIZE/2, |
1687 | FONT_VARIABLE, TILESIZE/2, |
1688 | ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str); |
1689 | draw_text(dr, BORDER + TILESIZE/2, |
1690 | BORDER+LEGEND + x*TILESIZE + TILESIZE/2, |
1691 | FONT_VARIABLE, TILESIZE/2, |
1692 | ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str); |
1693 | } |
d8fa223c |
1694 | |
1695 | /* |
1696 | * Main grid. |
1697 | */ |
1698 | for (x = 1; x < w; x++) { |
1699 | print_line_width(dr, TILESIZE / 40); |
b84b31a8 |
1700 | draw_line(dr, BORDER+LEGEND+x*TILESIZE, BORDER+LEGEND, |
1701 | BORDER+LEGEND+x*TILESIZE, BORDER+LEGEND+w*TILESIZE, ink); |
d8fa223c |
1702 | } |
1703 | for (y = 1; y < w; y++) { |
1704 | print_line_width(dr, TILESIZE / 40); |
b84b31a8 |
1705 | draw_line(dr, BORDER+LEGEND, BORDER+LEGEND+y*TILESIZE, |
1706 | BORDER+LEGEND+w*TILESIZE, BORDER+LEGEND+y*TILESIZE, ink); |
d8fa223c |
1707 | } |
1708 | |
1709 | /* |
1710 | * Numbers. |
1711 | */ |
1712 | for (y = 0; y < w; y++) |
1713 | for (x = 0; x < w; x++) |
1714 | if (state->grid[y*w+x]) { |
1715 | char str[2]; |
1716 | str[1] = '\0'; |
5523645e |
1717 | str[0] = TOCHAR(state->grid[y*w+x], state->par.id); |
b84b31a8 |
1718 | draw_text(dr, BORDER+LEGEND + x*TILESIZE + TILESIZE/2, |
1719 | BORDER+LEGEND + y*TILESIZE + TILESIZE/2, |
d8fa223c |
1720 | FONT_VARIABLE, TILESIZE/2, |
1721 | ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str); |
1722 | } |
1723 | } |
1724 | |
1725 | #ifdef COMBINED |
1726 | #define thegame group |
1727 | #endif |
1728 | |
1729 | const struct game thegame = { |
1730 | "Group", NULL, NULL, |
1731 | default_params, |
1732 | game_fetch_preset, |
1733 | decode_params, |
1734 | encode_params, |
1735 | free_params, |
1736 | dup_params, |
1737 | TRUE, game_configure, custom_params, |
1738 | validate_params, |
1739 | new_game_desc, |
1740 | validate_desc, |
1741 | new_game, |
1742 | dup_game, |
1743 | free_game, |
1744 | TRUE, solve_game, |
1745 | TRUE, game_can_format_as_text_now, game_text_format, |
1746 | new_ui, |
1747 | free_ui, |
1748 | encode_ui, |
1749 | decode_ui, |
1750 | game_changed_state, |
1751 | interpret_move, |
1752 | execute_move, |
1753 | PREFERRED_TILESIZE, game_compute_size, game_set_size, |
1754 | game_colours, |
1755 | game_new_drawstate, |
1756 | game_free_drawstate, |
1757 | game_redraw, |
1758 | game_anim_length, |
1759 | game_flash_length, |
1760 | TRUE, FALSE, game_print_size, game_print, |
1761 | FALSE, /* wants_statusbar */ |
1762 | FALSE, game_timing_state, |
1763 | REQUIRE_RBUTTON | REQUIRE_NUMPAD, /* flags */ |
1764 | }; |
1765 | |
1766 | #ifdef STANDALONE_SOLVER |
1767 | |
1768 | #include <stdarg.h> |
1769 | |
1770 | int main(int argc, char **argv) |
1771 | { |
1772 | game_params *p; |
1773 | game_state *s; |
1774 | char *id = NULL, *desc, *err; |
1775 | digit *grid; |
1776 | int grade = FALSE; |
1777 | int ret, diff, really_show_working = FALSE; |
1778 | |
1779 | while (--argc > 0) { |
1780 | char *p = *++argv; |
1781 | if (!strcmp(p, "-v")) { |
1782 | really_show_working = TRUE; |
1783 | } else if (!strcmp(p, "-g")) { |
1784 | grade = TRUE; |
1785 | } else if (*p == '-') { |
1786 | fprintf(stderr, "%s: unrecognised option `%s'\n", argv[0], p); |
1787 | return 1; |
1788 | } else { |
1789 | id = p; |
1790 | } |
1791 | } |
1792 | |
1793 | if (!id) { |
1794 | fprintf(stderr, "usage: %s [-g | -v] <game_id>\n", argv[0]); |
1795 | return 1; |
1796 | } |
1797 | |
1798 | desc = strchr(id, ':'); |
1799 | if (!desc) { |
1800 | fprintf(stderr, "%s: game id expects a colon in it\n", argv[0]); |
1801 | return 1; |
1802 | } |
1803 | *desc++ = '\0'; |
1804 | |
1805 | p = default_params(); |
1806 | decode_params(p, id); |
1807 | err = validate_desc(p, desc); |
1808 | if (err) { |
1809 | fprintf(stderr, "%s: %s\n", argv[0], err); |
1810 | return 1; |
1811 | } |
1812 | s = new_game(NULL, p, desc); |
1813 | |
1814 | grid = snewn(p->w * p->w, digit); |
1815 | |
1816 | /* |
1817 | * When solving a Normal puzzle, we don't want to bother the |
1818 | * user with Hard-level deductions. For this reason, we grade |
1819 | * the puzzle internally before doing anything else. |
1820 | */ |
1821 | ret = -1; /* placate optimiser */ |
1822 | solver_show_working = FALSE; |
1823 | for (diff = 0; diff < DIFFCOUNT; diff++) { |
1824 | memcpy(grid, s->grid, p->w * p->w); |
5523645e |
1825 | ret = solver(&s->par, grid, diff); |
d8fa223c |
1826 | if (ret <= diff) |
1827 | break; |
1828 | } |
1829 | |
1830 | if (diff == DIFFCOUNT) { |
1831 | if (grade) |
1832 | printf("Difficulty rating: ambiguous\n"); |
1833 | else |
1834 | printf("Unable to find a unique solution\n"); |
1835 | } else { |
1836 | if (grade) { |
1837 | if (ret == diff_impossible) |
1838 | printf("Difficulty rating: impossible (no solution exists)\n"); |
1839 | else |
1840 | printf("Difficulty rating: %s\n", group_diffnames[ret]); |
1841 | } else { |
1842 | solver_show_working = really_show_working; |
1843 | memcpy(grid, s->grid, p->w * p->w); |
5523645e |
1844 | ret = solver(&s->par, grid, diff); |
d8fa223c |
1845 | if (ret != diff) |
1846 | printf("Puzzle is inconsistent\n"); |
1847 | else { |
1848 | memcpy(s->grid, grid, p->w * p->w); |
1849 | fputs(game_text_format(s), stdout); |
1850 | } |
1851 | } |
1852 | } |
1853 | |
1854 | return 0; |
1855 | } |
1856 | |
1857 | #endif |
1858 | |
1859 | /* vim: set shiftwidth=4 tabstop=8: */ |