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puzzles/unfinished/group.c
Simon Tatham a7dc17c425 Rework the preset menu system to permit submenus. 
To do this, I've completely replaced the API between mid-end and front
end, so any downstream front end maintainers will have to do some
rewriting of their own (sorry). I've done the necessary work in all
five of the front ends I keep in-tree here - Windows, GTK, OS X,
Javascript/Emscripten, and Java/NestedVM - and I've done it in various
different styles (as each front end found most convenient), so that
should provide a variety of sample code to show downstreams how, if
they should need it.

I've left in the old puzzle back-end API function to return a flat
list of presets, so for the moment, all the puzzle backends are
unchanged apart from an extra null pointer appearing in their
top-level game structure. In a future commit I'll actually use the new
feature in a puzzle; perhaps in the further future it might make sense
to migrate all the puzzles to the new API and stop providing back ends
with two alternative ways of doing things, but this seemed like enough
upheaval for one day.
2017-04-26 21:51:23 +01:00

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/*
* group.c: a Latin-square puzzle, but played with groups' Cayley
* tables. That is, you are given a Cayley table of a group with
* most elements blank and a few clues, and you must fill it in
* so as to preserve the group axioms.
*
* This is a perfectly playable and fully working puzzle, but I'm
* leaving it for the moment in the 'unfinished' directory because
* it's just too esoteric (not to mention _hard_) for me to be
* comfortable presenting it to the general public as something they
* might (implicitly) actually want to play.
*
* TODO:
*
* - more solver techniques?
* * Inverses: once we know that gh = e, we can immediately
* deduce hg = e as well; then for any gx=y we can deduce
* hy=x, and for any xg=y we have yh=x.
* * Hard-mode associativity: we currently deduce based on
* definite numbers in the grid, but we could also winnow
* based on _possible_ numbers.
* * My overambitious original thoughts included wondering if we
* could infer that there must be elements of certain orders
* (e.g. a group of order divisible by 5 must contain an
* element of order 5), but I think in fact this is probably
* silly.
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include <ctype.h>
#include <math.h>
#include "puzzles.h"
#include "latin.h"
/*
* Difficulty levels. I do some macro ickery here to ensure that my
* enum and the various forms of my name list always match up.
*/
#define DIFFLIST(A) \
A(TRIVIAL,Trivial,NULL,t) \
A(NORMAL,Normal,solver_normal,n) \
A(HARD,Hard,NULL,h) \
A(EXTREME,Extreme,NULL,x) \
A(UNREASONABLE,Unreasonable,NULL,u)
#define ENUM(upper,title,func,lower) DIFF_ ## upper,
#define TITLE(upper,title,func,lower) #title,
#define ENCODE(upper,title,func,lower) #lower
#define CONFIG(upper,title,func,lower) ":" #title
enum { DIFFLIST(ENUM) DIFFCOUNT };
static char const *const group_diffnames[] = { DIFFLIST(TITLE) };
static char const group_diffchars[] = DIFFLIST(ENCODE);
#define DIFFCONFIG DIFFLIST(CONFIG)
enum {
COL_BACKGROUND,
COL_GRID,
COL_USER,
COL_HIGHLIGHT,
COL_ERROR,
COL_PENCIL,
COL_DIAGONAL,
NCOLOURS
};
/*
* In identity mode, we number the elements e,a,b,c,d,f,g,h,...
* Otherwise, they're a,b,c,d,e,f,g,h,... in the obvious way.
*/
#define E_TO_FRONT(c,id) ( (id) && (c)<=5 ? (c) % 5 + 1 : (c) )
#define E_FROM_FRONT(c,id) ( (id) && (c)<=5 ? ((c) + 3) % 5 + 1 : (c) )
#define FROMCHAR(c,id) E_TO_FRONT((((c)-('A'-1)) & ~0x20), id)
#define ISCHAR(c) (((c)>='A'&&(c)<='Z') || ((c)>='a'&&(c)<='z'))
#define TOCHAR(c,id) (E_FROM_FRONT(c,id) + ('a'-1))
struct game_params {
int w, diff, id;
};
struct game_state {
game_params par;
digit *grid;
unsigned char *immutable;
int *pencil; /* bitmaps using bits 1<<1..1<<n */
int completed, cheated;
digit *sequence; /* sequence of group elements shown */
/*
* This array indicates thick lines separating rows and columns
* placed and unplaced manually by the user as a visual aid, e.g.
* to delineate a subgroup and its cosets.
*
* When a line is placed, it's deemed to be between the two
* particular group elements that are on either side of it at the
* time; dragging those two away from each other automatically
* gets rid of the line. Hence, for a given element i, dividers[i]
* is either -1 (indicating no divider to the right of i), or some
* other element (indicating a divider to the right of i iff that
* element is the one right of it). These are eagerly cleared
* during drags.
*/
int *dividers; /* thick lines between rows/cols */
};
static game_params *default_params(void)
{
game_params *ret = snew(game_params);
ret->w = 6;
ret->diff = DIFF_NORMAL;
ret->id = TRUE;
return ret;
}
const static struct game_params group_presets[] = {
{ 6, DIFF_NORMAL, TRUE },
{ 6, DIFF_NORMAL, FALSE },
{ 8, DIFF_NORMAL, TRUE },
{ 8, DIFF_NORMAL, FALSE },
{ 8, DIFF_HARD, TRUE },
{ 8, DIFF_HARD, FALSE },
{ 12, DIFF_NORMAL, TRUE },
};
static int game_fetch_preset(int i, char **name, game_params **params)
{
game_params *ret;
char buf[80];
if (i < 0 || i >= lenof(group_presets))
return FALSE;
ret = snew(game_params);
*ret = group_presets[i]; /* structure copy */
sprintf(buf, "%dx%d %s%s", ret->w, ret->w, group_diffnames[ret->diff],
ret->id ? "" : ", identity hidden");
*name = dupstr(buf);
*params = ret;
return TRUE;
}
static void free_params(game_params *params)
{
sfree(params);
}
static game_params *dup_params(const game_params *params)
{
game_params *ret = snew(game_params);
*ret = *params; /* structure copy */
return ret;
}
static void decode_params(game_params *params, char const *string)
{
char const *p = string;
params->w = atoi(p);
while (*p && isdigit((unsigned char)*p)) p++;
params->diff = DIFF_NORMAL;
params->id = TRUE;
while (*p) {
if (*p == 'd') {
int i;
p++;
params->diff = DIFFCOUNT+1; /* ...which is invalid */
if (*p) {
for (i = 0; i < DIFFCOUNT; i++) {
if (*p == group_diffchars[i])
params->diff = i;
}
p++;
}
} else if (*p == 'i') {
params->id = FALSE;
p++;
} else {
/* unrecognised character */
p++;
}
}
}
static char *encode_params(const game_params *params, int full)
{
char ret[80];
sprintf(ret, "%d", params->w);
if (full)
sprintf(ret + strlen(ret), "d%c", group_diffchars[params->diff]);
if (!params->id)
sprintf(ret + strlen(ret), "i");
return dupstr(ret);
}
static config_item *game_configure(const game_params *params)
{
config_item *ret;
char buf[80];
ret = snewn(4, config_item);
ret[0].name = "Grid size";
ret[0].type = C_STRING;
sprintf(buf, "%d", params->w);
ret[0].sval = dupstr(buf);
ret[0].ival = 0;
ret[1].name = "Difficulty";
ret[1].type = C_CHOICES;
ret[1].sval = DIFFCONFIG;
ret[1].ival = params->diff;
ret[2].name = "Show identity";
ret[2].type = C_BOOLEAN;
ret[2].sval = NULL;
ret[2].ival = params->id;
ret[3].name = NULL;
ret[3].type = C_END;
ret[3].sval = NULL;
ret[3].ival = 0;
return ret;
}
static game_params *custom_params(const config_item *cfg)
{
game_params *ret = snew(game_params);
ret->w = atoi(cfg[0].sval);
ret->diff = cfg[1].ival;
ret->id = cfg[2].ival;
return ret;
}
static char *validate_params(const game_params *params, int full)
{
if (params->w < 3 || params->w > 26)
return "Grid size must be between 3 and 26";
if (params->diff >= DIFFCOUNT)
return "Unknown difficulty rating";
if (!params->id && params->diff == DIFF_TRIVIAL) {
/*
* We can't have a Trivial-difficulty puzzle (i.e. latin
* square deductions only) without a clear identity, because
* identityless puzzles always have two rows and two columns
* entirely blank, and no latin-square deduction permits the
* distinguishing of two such rows.
*/
return "Trivial puzzles must have an identity";
}
if (!params->id && params->w == 3) {
/*
* We can't have a 3x3 puzzle without an identity either,
* because 3x3 puzzles can't ever be harder than Trivial
* (there are no 3x3 latin squares which aren't also valid
* group tables, so enabling group-based deductions doesn't
* rule out any possible solutions) and - as above - Trivial
* puzzles can't not have an identity.
*/
return "3x3 puzzles must have an identity";
}
return NULL;
}
/* ----------------------------------------------------------------------
* Solver.
*/
static int solver_normal(struct latin_solver *solver, void *vctx)
{
int w = solver->o;
#ifdef STANDALONE_SOLVER
char **names = solver->names;
#endif
digit *grid = solver->grid;
int i, j, k;
/*
* Deduce using associativity: (ab)c = a(bc).
*
* So we pick any a,b,c we like; then if we know ab, bc, and
* (ab)c we can fill in a(bc).
*/
for (i = 1; i < w; i++)
for (j = 1; j < w; j++)
for (k = 1; k < w; k++) {
if (!grid[i*w+j] || !grid[j*w+k])
continue;
if (grid[(grid[i*w+j]-1)*w+k] &&
!grid[i*w+(grid[j*w+k]-1)]) {
int x = grid[j*w+k]-1, y = i;
int n = grid[(grid[i*w+j]-1)*w+k];
#ifdef STANDALONE_SOLVER
if (solver_show_working) {
printf("%*sassociativity on %s,%s,%s: %s*%s = %s*%s\n",
solver_recurse_depth*4, "",
names[i], names[j], names[k],
names[grid[i*w+j]-1], names[k],
names[i], names[grid[j*w+k]-1]);
printf("%*s placing %s at (%d,%d)\n",
solver_recurse_depth*4, "",
names[n-1], x+1, y+1);
}
#endif
if (solver->cube[(x*w+y)*w+n-1]) {
latin_solver_place(solver, x, y, n);
return 1;
} else {
#ifdef STANDALONE_SOLVER
if (solver_show_working)
printf("%*s contradiction!\n",
solver_recurse_depth*4, "");
return -1;
#endif
}
}
if (!grid[(grid[i*w+j]-1)*w+k] &&
grid[i*w+(grid[j*w+k]-1)]) {
int x = k, y = grid[i*w+j]-1;
int n = grid[i*w+(grid[j*w+k]-1)];
#ifdef STANDALONE_SOLVER
if (solver_show_working) {
printf("%*sassociativity on %s,%s,%s: %s*%s = %s*%s\n",
solver_recurse_depth*4, "",
names[i], names[j], names[k],
names[grid[i*w+j]-1], names[k],
names[i], names[grid[j*w+k]-1]);
printf("%*s placing %s at (%d,%d)\n",
solver_recurse_depth*4, "",
names[n-1], x+1, y+1);
}
#endif
if (solver->cube[(x*w+y)*w+n-1]) {
latin_solver_place(solver, x, y, n);
return 1;
} else {
#ifdef STANDALONE_SOLVER
if (solver_show_working)
printf("%*s contradiction!\n",
solver_recurse_depth*4, "");
return -1;
#endif
}
}
}
return 0;
}
#define SOLVER(upper,title,func,lower) func,
static usersolver_t const group_solvers[] = { DIFFLIST(SOLVER) };
static int solver(const game_params *params, digit *grid, int maxdiff)
{
int w = params->w;
int ret;
struct latin_solver solver;
#ifdef STANDALONE_SOLVER
char *p, text[100], *names[50];
int i;
#endif
latin_solver_alloc(&solver, grid, w);
#ifdef STANDALONE_SOLVER
for (i = 0, p = text; i < w; i++) {
names[i] = p;
*p++ = TOCHAR(i+1, params->id);
*p++ = '\0';
}
solver.names = names;
#endif
ret = latin_solver_main(&solver, maxdiff,
DIFF_TRIVIAL, DIFF_HARD, DIFF_EXTREME,
DIFF_EXTREME, DIFF_UNREASONABLE,
group_solvers, NULL, NULL, NULL);
latin_solver_free(&solver);
return ret;
}
/* ----------------------------------------------------------------------
* Grid generation.
*/
static char *encode_grid(char *desc, digit *grid, int area)
{
int run, i;
char *p = desc;
run = 0;
for (i = 0; i <= area; i++) {
int n = (i < area ? grid[i] : -1);
if (!n)
run++;
else {
if (run) {
while (run > 0) {
int c = 'a' - 1 + run;
if (run > 26)
c = 'z';
*p++ = c;
run -= c - ('a' - 1);
}
} else {
/*
* If there's a number in the very top left or
* bottom right, there's no point putting an
* unnecessary _ before or after it.
*/
if (p > desc && n > 0)
*p++ = '_';
}
if (n > 0)
p += sprintf(p, "%d", n);
run = 0;
}
}
return p;
}
/* ----- data generated by group.gap begins ----- */
struct group {
unsigned long autosize;
int order, ngens;
const char *gens;
};
struct groups {
int ngroups;
const struct group *groups;
};
static const struct group groupdata[] = {
/* order 2 */
{1L, 2, 1, "BA"},
/* order 3 */
{2L, 3, 1, "BCA"},
/* order 4 */
{2L, 4, 1, "BCDA"},
{6L, 4, 2, "BADC" "CDAB"},
/* order 5 */
{4L, 5, 1, "BCDEA"},
/* order 6 */
{6L, 6, 2, "CFEBAD" "BADCFE"},
{2L, 6, 1, "DCFEBA"},
/* order 7 */
{6L, 7, 1, "BCDEFGA"},
/* order 8 */
{4L, 8, 1, "BCEFDGHA"},
{8L, 8, 2, "BDEFGAHC" "EGBHDCFA"},
{8L, 8, 2, "EGBHDCFA" "BAEFCDHG"},
{24L, 8, 2, "BDEFGAHC" "CHDGBEAF"},
{168L, 8, 3, "BAEFCDHG" "CEAGBHDF" "DFGAHBCE"},
/* order 9 */
{6L, 9, 1, "BDECGHFIA"},
{48L, 9, 2, "BDEAGHCIF" "CEFGHAIBD"},
/* order 10 */
{20L, 10, 2, "CJEBGDIFAH" "BADCFEHGJI"},
{4L, 10, 1, "DCFEHGJIBA"},
/* order 11 */
{10L, 11, 1, "BCDEFGHIJKA"},
/* order 12 */
{12L, 12, 2, "GLDKJEHCBIAF" "BCEFAGIJDKLH"},
{4L, 12, 1, "EHIJKCBLDGFA"},
{24L, 12, 2, "BEFGAIJKCDLH" "FJBKHLEGDCIA"},
{12L, 12, 2, "GLDKJEHCBIAF" "BAEFCDIJGHLK"},
{12L, 12, 2, "FDIJGHLBKAEC" "GIDKFLHCJEAB"},
/* order 13 */
{12L, 13, 1, "BCDEFGHIJKLMA"},
/* order 14 */
{42L, 14, 2, "ELGNIBKDMFAHCJ" "BADCFEHGJILKNM"},
{6L, 14, 1, "FEHGJILKNMBADC"},
/* order 15 */
{8L, 15, 1, "EGHCJKFMNIOBLDA"},
/* order 16 */
{8L, 16, 1, "MKNPFOADBGLCIEHJ"},
{96L, 16, 2, "ILKCONFPEDJHGMAB" "BDFGHIAKLMNCOEPJ"},
{32L, 16, 2, "MIHPFDCONBLAKJGE" "BEFGHJKALMNOCDPI"},
{32L, 16, 2, "IFACOGLMDEJBNPKH" "BEFGHJKALMNOCDPI"},
{16L, 16, 2, "MOHPFKCINBLADJGE" "BDFGHIEKLMNJOAPC"},
{16L, 16, 2, "MIHPFDJONBLEKCGA" "BDFGHIEKLMNJOAPC"},
{32L, 16, 2, "MOHPFDCINBLEKJGA" "BAFGHCDELMNIJKPO"},
{16L, 16, 2, "MIHPFKJONBLADCGE" "GDPHNOEKFLBCIAMJ"},
{32L, 16, 2, "MIBPFDJOGHLEKCNA" "CLEIJGMPKAOHNFDB"},
{192L, 16, 3,
"MCHPFAIJNBLDEOGK" "BEFGHJKALMNOCDPI" "GKLBNOEDFPHJIAMC"},
{64L, 16, 3, "MCHPFAIJNBLDEOGK" "LOGFPKJIBNMEDCHA" "CMAIJHPFDEONBLKG"},
{192L, 16, 3,
"IPKCOGMLEDJBNFAH" "BEFGHJKALMNOCDPI" "CMEIJBPFKAOGHLDN"},
{48L, 16, 3, "IPDJONFLEKCBGMAH" "FJBLMEOCGHPKAIND" "DGIEKLHNJOAMPBCF"},
{20160L, 16, 4,
"EHJKAMNBOCDPFGIL" "BAFGHCDELMNIJKPO" "CFAIJBLMDEOGHPKN"
"DGIAKLBNCOEFPHJM"},
/* order 17 */
{16L, 17, 1, "EFGHIJKLMNOPQABCD"},
/* order 18 */
{54L, 18, 2, "MKIQOPNAGLRECDBJHF" "BAEFCDJKLGHIOPMNRQ"},
{6L, 18, 1, "ECJKGHFOPDMNLRIQBA"},
{12L, 18, 2, "ECJKGHBOPAMNFRDQLI" "KNOPQCFREIGHLJAMBD"},
{432L, 18, 3,
"IFNAKLQCDOPBGHREMJ" "NOQCFRIGHKLJAMPBDE" "BAEFCDJKLGHIOPMNRQ"},
{48L, 18, 2, "ECJKGHBOPAMNFRDQLI" "FDKLHIOPBMNAREQCJG"},
/* order 19 */
{18L, 19, 1, "EFGHIJKLMNOPQRSABCD"},
/* order 20 */
{40L, 20, 2, "GTDKREHOBILSFMPCJQAN" "EABICDFMGHJQKLNTOPRS"},
{8L, 20, 1, "EHIJLCMNPGQRSKBTDOFA"},
{20L, 20, 2, "DJSHQNCLTRGPEBKAIFOM" "EABICDFMGHJQKLNTOPRS"},
{40L, 20, 2, "GTDKREHOBILSFMPCJQAN" "ECBIAGFMDKJQHONTLSRP"},
{24L, 20, 2, "IGFMDKJQHONTLSREPCBA" "FDIJGHMNKLQROPTBSAEC"},
/* order 21 */
{42L, 21, 2, "ITLSBOUERDHAGKCJNFMQP" "EJHLMKOPNRSQAUTCDBFGI"},
{12L, 21, 1, "EGHCJKFMNIPQLSTOUBRDA"},
/* order 22 */
{110L, 22, 2, "ETGVIBKDMFOHQJSLUNAPCR" "BADCFEHGJILKNMPORQTSVU"},
{10L, 22, 1, "FEHGJILKNMPORQTSVUBADC"},
/* order 23 */
{22L, 23, 1, "EFGHIJKLMNOPQRSTUVWABCD"},
/* order 24 */
{24L, 24, 2, "QXEJWPUMKLRIVBFTSACGHNDO" "HRNOPSWCTUVBLDIJXFGAKQME"},
{8L, 24, 1, "MQBTUDRWFGHXJELINOPKSAVC"},
{24L, 24, 2, "IOQRBEUVFWGHKLAXMNPSCDTJ" "NJXOVGDKSMTFIPQELCURBWAH"},
{48L, 24, 2, "QUEJWVXFKLRIPGMNSACBOTDH" "HSNOPWLDTUVBRIAKXFGCQEMJ"},
{24L, 24, 2, "QXEJWPUMKLRIVBFTSACGHNDO" "TWHNXLRIOPUMSACQVBFDEJGK"},
{48L, 24, 2, "QUEJWVXFKLRIPGMNSACBOTDH" "BAFGHCDEMNOPIJKLTUVQRSXW"},
{48L, 24, 3,
"QXKJWVUMESRIPGFTLDCBONAH" "JUEQRPXFKLWCVBMNSAIGHTDO"
"HSNOPWLDTUVBRIAKXFGCQEMJ"},
{24L, 24, 3,
"QUKJWPXFESRIVBMNLDCGHTAO" "JXEQRVUMKLWCPGFTSAIBONDH"
"TRONXLWCHVUMSAIJPGFDEQBK"},
{16L, 24, 2, "MRGTULWIOPFXSDJQBVNEKCHA" "VKXHOQASNTPBCWDEUFGIJLMR"},
{16L, 24, 2, "MRGTULWIOPFXSDJQBVNEKCHA" "RMLWIGTUSDJQOPFXEKCBVNAH"},
{48L, 24, 2, "IULQRGXMSDCWOPNTEKJBVFAH" "GLMOPRSDTUBVWIEKFXHJQANC"},
{24L, 24, 2, "UJPXMRCSNHGTLWIKFVBEDQOA" "NRUFVLWIPXMOJEDQHGTCSABK"},
{24L, 24, 2, "MIBTUAQRFGHXCDEWNOPJKLVS" "OKXVFWSCGUTNDRQJBPMALIHE"},
{144L, 24, 3,
"QXKJWVUMESRIPGFTLDCBONAH" "JUEQRPXFKLWCVBMNSAIGHTDO"
"BAFGHCDEMNOPIJKLTUVQRSXW"},
{336L, 24, 3,
"QTKJWONXESRIHVUMLDCPGFAB" "JNEQRHTUKLWCOPXFSAIVBMDG"
"HENOPJKLTUVBQRSAXFGWCDMI"},
/* order 25 */
{20L, 25, 1, "EHILMNPQRSFTUVBJWXDOYGAKC"},
{480L, 25, 2, "EHILMNPQRSCTUVBFWXDJYGOKA" "BDEGHIKLMNAPQRSCTUVFWXJYO"},
/* order 26 */
{156L, 26, 2,
"EXGZIBKDMFOHQJSLUNWPYRATCV" "BADCFEHGJILKNMPORQTSVUXWZY"},
{12L, 26, 1, "FEHGJILKNMPORQTSVUXWZYBADC"},
};
static const struct groups groups[] = {
{0, NULL}, /* trivial case: 0 */
{0, NULL}, /* trivial case: 1 */
{1, groupdata + 0}, /* 2 */
{1, groupdata + 1}, /* 3 */
{2, groupdata + 2}, /* 4 */
{1, groupdata + 4}, /* 5 */
{2, groupdata + 5}, /* 6 */
{1, groupdata + 7}, /* 7 */
{5, groupdata + 8}, /* 8 */
{2, groupdata + 13}, /* 9 */
{2, groupdata + 15}, /* 10 */
{1, groupdata + 17}, /* 11 */
{5, groupdata + 18}, /* 12 */
{1, groupdata + 23}, /* 13 */
{2, groupdata + 24}, /* 14 */
{1, groupdata + 26}, /* 15 */
{14, groupdata + 27}, /* 16 */
{1, groupdata + 41}, /* 17 */
{5, groupdata + 42}, /* 18 */
{1, groupdata + 47}, /* 19 */
{5, groupdata + 48}, /* 20 */
{2, groupdata + 53}, /* 21 */
{2, groupdata + 55}, /* 22 */
{1, groupdata + 57}, /* 23 */
{15, groupdata + 58}, /* 24 */
{2, groupdata + 73}, /* 25 */
{2, groupdata + 75}, /* 26 */
};
/* ----- data generated by group.gap ends ----- */
static char *new_game_desc(const game_params *params, random_state *rs,
char **aux, int interactive)
{
int w = params->w, a = w*w;
digit *grid, *soln, *soln2;
int *indices;
int i, j, k, qh, qt;
int diff = params->diff;
const struct group *group;
char *desc, *p;
/*
* Difficulty exceptions: some combinations of size and
* difficulty cannot be satisfied, because all puzzles of at
* most that difficulty are actually even easier.
*
* Remember to re-test this whenever a change is made to the
* solver logic!
*
* I tested it using the following shell command:
for d in t n h x u; do
for id in '' i; do
for i in {3..9}; do
echo -n "./group --generate 1 ${i}d${d}${id}: "
perl -e 'alarm 30; exec @ARGV' \
./group --generate 1 ${i}d${d}${id} >/dev/null && echo ok
done
done
done
* Of course, it's better to do that after taking the exceptions
* _out_, so as to detect exceptions that should be removed as
* well as those which should be added.
*/
if (w < 5 && diff == DIFF_UNREASONABLE)
diff--;
if ((w < 5 || ((w == 6 || w == 8) && params->id)) && diff == DIFF_EXTREME)
diff--;
if ((w < 6 || (w == 6 && params->id)) && diff == DIFF_HARD)
diff--;
if ((w < 4 || (w == 4 && params->id)) && diff == DIFF_NORMAL)
diff--;
grid = snewn(a, digit);
soln = snewn(a, digit);
soln2 = snewn(a, digit);
indices = snewn(a, int);
while (1) {
/*
* Construct a valid group table, by picking a group from
* the above data table, decompressing it into a full
* representation by BFS, and then randomly permuting its
* non-identity elements.
*
* We build the canonical table in 'soln' (and use 'grid' as
* our BFS queue), then transfer the table into 'grid'
* having shuffled the rows.
*/
assert(w >= 2);
assert(w < lenof(groups));
group = groups[w].groups + random_upto(rs, groups[w].ngroups);
assert(group->order == w);
memset(soln, 0, a);
for (i = 0; i < w; i++)
soln[i] = i+1;
qh = qt = 0;
grid[qt++] = 1;
while (qh < qt) {
digit *row, *newrow;
i = grid[qh++];
row = soln + (i-1)*w;
for (j = 0; j < group->ngens; j++) {
int nri;
const char *gen = group->gens + j*w;
/*
* Apply each group generator to row, constructing a
* new row.
*/
nri = gen[row[0]-1] - 'A' + 1; /* which row is it? */
newrow = soln + (nri-1)*w;
if (!newrow[0]) { /* not done yet */
for (k = 0; k < w; k++)
newrow[k] = gen[row[k]-1] - 'A' + 1;
grid[qt++] = nri;
}
}
}
/* That's got the canonical table. Now shuffle it. */
for (i = 0; i < w; i++)
soln2[i] = i;
if (params->id) /* do we shuffle in the identity? */
shuffle(soln2+1, w-1, sizeof(*soln2), rs);
else
shuffle(soln2, w, sizeof(*soln2), rs);
for (i = 0; i < w; i++)
for (j = 0; j < w; j++)
grid[(soln2[i])*w+(soln2[j])] = soln2[soln[i*w+j]-1]+1;
/*
* Remove entries one by one while the puzzle is still
* soluble at the appropriate difficulty level.
*/
memcpy(soln, grid, a);
if (!params->id) {
/*
* Start by blanking the entire identity row and column,
* and also another row and column so that the player
* can't trivially determine which element is the
* identity.
*/
j = 1 + random_upto(rs, w-1); /* pick a second row/col to blank */
for (i = 0; i < w; i++) {
grid[(soln2[0])*w+i] = grid[i*w+(soln2[0])] = 0;
grid[(soln2[j])*w+i] = grid[i*w+(soln2[j])] = 0;
}
memcpy(soln2, grid, a);
if (solver(params, soln2, diff) > diff)
continue; /* go round again if that didn't work */
}
k = 0;
for (i = (params->id ? 1 : 0); i < w; i++)
for (j = (params->id ? 1 : 0); j < w; j++)
if (grid[i*w+j])
indices[k++] = i*w+j;
shuffle(indices, k, sizeof(*indices), rs);
for (i = 0; i < k; i++) {
memcpy(soln2, grid, a);
soln2[indices[i]] = 0;
if (solver(params, soln2, diff) <= diff)
grid[indices[i]] = 0;
}
/*
* Make sure the puzzle isn't too easy.
*/
if (diff > 0) {
memcpy(soln2, grid, a);
if (solver(params, soln2, diff-1) < diff)
continue; /* go round and try again */
}
/*
* Done.
*/
break;
}
/*
* Encode the puzzle description.
*/
desc = snewn(a*20, char);
p = encode_grid(desc, grid, a);
*p++ = '\0';
desc = sresize(desc, p - desc, char);
/*
* Encode the solution.
*/
*aux = snewn(a+2, char);
(*aux)[0] = 'S';
for (i = 0; i < a; i++)
(*aux)[i+1] = TOCHAR(soln[i], params->id);
(*aux)[a+1] = '\0';
sfree(grid);
sfree(soln);
sfree(soln2);
sfree(indices);
return desc;
}
/* ----------------------------------------------------------------------
* Gameplay.
*/
static char *validate_grid_desc(const char **pdesc, int range, int area)
{
const char *desc = *pdesc;
int squares = 0;
while (*desc && *desc != ',') {
int n = *desc++;
if (n >= 'a' && n <= 'z') {
squares += n - 'a' + 1;
} else if (n == '_') {
/* do nothing */;
} else if (n > '0' && n <= '9') {
int val = atoi(desc-1);
if (val < 1 || val > range)
return "Out-of-range number in game description";
squares++;
while (*desc >= '0' && *desc <= '9')
desc++;
} else
return "Invalid character in game description";
}
if (squares < area)
return "Not enough data to fill grid";
if (squares > area)
return "Too much data to fit in grid";
*pdesc = desc;
return NULL;
}
static char *validate_desc(const game_params *params, const char *desc)
{
int w = params->w, a = w*w;
const char *p = desc;
return validate_grid_desc(&p, w, a);
}
static const char *spec_to_grid(const char *desc, digit *grid, int area)
{
int i = 0;
while (*desc && *desc != ',') {
int n = *desc++;
if (n >= 'a' && n <= 'z') {
int run = n - 'a' + 1;
assert(i + run <= area);
while (run-- > 0)
grid[i++] = 0;
} else if (n == '_') {
/* do nothing */;
} else if (n > '0' && n <= '9') {
assert(i < area);
grid[i++] = atoi(desc-1);
while (*desc >= '0' && *desc <= '9')
desc++;
} else {
assert(!"We can't get here");
}
}
assert(i == area);
return desc;
}
static game_state *new_game(midend *me, const game_params *params,
const char *desc)
{
int w = params->w, a = w*w;
game_state *state = snew(game_state);
int i;
state->par = *params; /* structure copy */
state->grid = snewn(a, digit);
state->immutable = snewn(a, unsigned char);
state->pencil = snewn(a, int);
for (i = 0; i < a; i++) {
state->grid[i] = 0;
state->immutable[i] = 0;
state->pencil[i] = 0;
}
state->sequence = snewn(w, digit);
state->dividers = snewn(w, int);
for (i = 0; i < w; i++) {
state->sequence[i] = i;
state->dividers[i] = -1;
}
desc = spec_to_grid(desc, state->grid, a);
for (i = 0; i < a; i++)
if (state->grid[i] != 0)
state->immutable[i] = TRUE;
state->completed = state->cheated = FALSE;
return state;
}
static game_state *dup_game(const game_state *state)
{
int w = state->par.w, a = w*w;
game_state *ret = snew(game_state);
ret->par = state->par; /* structure copy */
ret->grid = snewn(a, digit);
ret->immutable = snewn(a, unsigned char);
ret->pencil = snewn(a, int);
ret->sequence = snewn(w, digit);
ret->dividers = snewn(w, int);
memcpy(ret->grid, state->grid, a*sizeof(digit));
memcpy(ret->immutable, state->immutable, a*sizeof(unsigned char));
memcpy(ret->pencil, state->pencil, a*sizeof(int));
memcpy(ret->sequence, state->sequence, w*sizeof(digit));
memcpy(ret->dividers, state->dividers, w*sizeof(int));
ret->completed = state->completed;
ret->cheated = state->cheated;
return ret;
}
static void free_game(game_state *state)
{
sfree(state->grid);
sfree(state->immutable);
sfree(state->pencil);
sfree(state->sequence);
sfree(state);
}
static char *solve_game(const game_state *state, const game_state *currstate,
const char *aux, char **error)
{
int w = state->par.w, a = w*w;
int i, ret;
digit *soln;
char *out;
if (aux)
return dupstr(aux);
soln = snewn(a, digit);
memcpy(soln, state->grid, a*sizeof(digit));
ret = solver(&state->par, soln, DIFFCOUNT-1);
if (ret == diff_impossible) {
*error = "No solution exists for this puzzle";
out = NULL;
} else if (ret == diff_ambiguous) {
*error = "Multiple solutions exist for this puzzle";
out = NULL;
} else {
out = snewn(a+2, char);
out[0] = 'S';
for (i = 0; i < a; i++)
out[i+1] = TOCHAR(soln[i], state->par.id);
out[a+1] = '\0';
}
sfree(soln);
return out;
}
static int game_can_format_as_text_now(const game_params *params)
{
return TRUE;
}
static char *game_text_format(const game_state *state)
{
int w = state->par.w;
int x, y;
char *ret, *p, ch;
ret = snewn(2*w*w+1, char); /* leave room for terminating NUL */
p = ret;
for (y = 0; y < w; y++) {
for (x = 0; x < w; x++) {
digit d = state->grid[y*w+x];
if (d == 0) {
ch = '.';
} else {
ch = TOCHAR(d, state->par.id);
}
*p++ = ch;
if (x == w-1) {
*p++ = '\n';
} else {
*p++ = ' ';
}
}
}
assert(p - ret == 2*w*w);
*p = '\0';
return ret;
}
struct game_ui {
/*
* These are the coordinates of the primary highlighted square on
* the grid, if hshow = 1.
*/
int hx, hy;
/*
* These are the coordinates hx,hy _before_ they go through
* state->sequence.
*/
int ohx, ohy;
/*
* These variables give the length and displacement of a diagonal
* sequence of highlighted squares starting at ohx,ohy (still if
* hshow = 1). To find the squares' real coordinates, for 0<=i<dn,
* compute ohx+i*odx and ohy+i*ody and then map through
* state->sequence.
*/
int odx, ody, odn;
/*
* This indicates whether the current highlight is a
* pencil-mark one or a real one.
*/
int hpencil;
/*
* This indicates whether or not we're showing the highlight
* (used to be hx = hy = -1); important so that when we're
* using the cursor keys it doesn't keep coming back at a
* fixed position. When hshow = 1, pressing a valid number
* or letter key or Space will enter that number or letter in the grid.
*/
int hshow;
/*
* This indicates whether we're using the highlight as a cursor;
* it means that it doesn't vanish on a keypress, and that it is
* allowed on immutable squares.
*/
int hcursor;
/*
* This indicates whether we're dragging a table header to
* reposition an entire row or column.
*/
int drag; /* 0=none 1=row 2=col */
int dragnum; /* element being dragged */
int dragpos; /* its current position */
int edgepos;
};
static game_ui *new_ui(const game_state *state)
{
game_ui *ui = snew(game_ui);
ui->hx = ui->hy = 0;
ui->hpencil = ui->hshow = ui->hcursor = 0;
ui->drag = 0;
return ui;
}
static void free_ui(game_ui *ui)
{
sfree(ui);
}
static char *encode_ui(const game_ui *ui)
{
return NULL;
}
static void decode_ui(game_ui *ui, const char *encoding)
{
}
static void game_changed_state(game_ui *ui, const game_state *oldstate,
const game_state *newstate)
{
int w = newstate->par.w;
/*
* We prevent pencil-mode highlighting of a filled square, unless
* we're using the cursor keys. So if the user has just filled in
* a square which we had a pencil-mode highlight in (by Undo, or
* by Redo, or by Solve), then we cancel the highlight.
*/
if (ui->hshow && ui->hpencil && !ui->hcursor &&
newstate->grid[ui->hy * w + ui->hx] != 0) {
ui->hshow = 0;
}
if (ui->hshow && ui->odn > 1) {
/*
* Reordering of rows or columns within the range of a
* multifill selection cancels the multifill and deselects
* everything.
*/
int i;
for (i = 0; i < ui->odn; i++) {
if (oldstate->sequence[ui->ohx + i*ui->odx] !=
newstate->sequence[ui->ohx + i*ui->odx]) {
ui->hshow = 0;
break;
}
if (oldstate->sequence[ui->ohy + i*ui->ody] !=
newstate->sequence[ui->ohy + i*ui->ody]) {
ui->hshow = 0;
break;
}
}
} else if (ui->hshow &&
(newstate->sequence[ui->ohx] != ui->hx ||
newstate->sequence[ui->ohy] != ui->hy)) {
/*
* Otherwise, reordering of the row or column containing the
* selection causes the selection to move with it.
*/
int i;
for (i = 0; i < w; i++) {
if (newstate->sequence[i] == ui->hx)
ui->ohx = i;
if (newstate->sequence[i] == ui->hy)
ui->ohy = i;
}
}
}
#define PREFERRED_TILESIZE 48
#define TILESIZE (ds->tilesize)
#define BORDER (TILESIZE / 2)
#define LEGEND (TILESIZE)
#define GRIDEXTRA max((TILESIZE / 32),1)
#define COORD(x) ((x)*TILESIZE + BORDER + LEGEND)
#define FROMCOORD(x) (((x)+(TILESIZE-BORDER-LEGEND)) / TILESIZE - 1)
#define FLASH_TIME 0.4F
#define DF_DIVIDER_TOP 0x1000
#define DF_DIVIDER_BOT 0x2000
#define DF_DIVIDER_LEFT 0x4000
#define DF_DIVIDER_RIGHT 0x8000
#define DF_HIGHLIGHT 0x0400
#define DF_HIGHLIGHT_PENCIL 0x0200
#define DF_IMMUTABLE 0x0100
#define DF_LEGEND 0x0080
#define DF_DIGIT_MASK 0x001F
#define EF_DIGIT_SHIFT 5
#define EF_DIGIT_MASK ((1 << EF_DIGIT_SHIFT) - 1)
#define EF_LEFT_SHIFT 0
#define EF_RIGHT_SHIFT (3*EF_DIGIT_SHIFT)
#define EF_LEFT_MASK ((1UL << (3*EF_DIGIT_SHIFT)) - 1UL)
#define EF_RIGHT_MASK (EF_LEFT_MASK << EF_RIGHT_SHIFT)
#define EF_LATIN (1UL << (6*EF_DIGIT_SHIFT))
struct game_drawstate {
game_params par;
int w, tilesize;
int started;
long *tiles, *legend, *pencil, *errors;
long *errtmp;
digit *sequence;
};
static int check_errors(const game_state *state, long *errors)
{
int w = state->par.w, a = w*w;
digit *grid = state->grid;
int i, j, k, x, y, errs = FALSE;
/*
* To verify that we have a valid group table, it suffices to
* test latin-square-hood and associativity only. All the other
* group axioms follow from those two.
*
* Proof:
*
* Associativity is given; closure is obvious from latin-
* square-hood. We need to show that an identity exists and that
* every element has an inverse.
*
* Identity: take any element a. There will be some element e
* such that ea=a (in a latin square, every element occurs in
* every row and column, so a must occur somewhere in the a
* column, say on row e). For any other element b, there must
* exist x such that ax=b (same argument from latin-square-hood
* again), and then associativity gives us eb = e(ax) = (ea)x =
* ax = b. Hence eb=b for all b, i.e. e is a left-identity. A
* similar argument tells us that there must be some f which is
* a right-identity, and then we show they are the same element
* by observing that ef must simultaneously equal e and equal f.
*
* Inverses: given any a, by the latin-square argument again,
* there must exist p and q such that pa=e and aq=e (i.e. left-
* and right-inverses). We can show these are equal by
* associativity: p = pe = p(aq) = (pa)q = eq = q. []
*/
if (errors)
for (i = 0; i < a; i++)
errors[i] = 0;
for (y = 0; y < w; y++) {
unsigned long mask = 0, errmask = 0;
for (x = 0; x < w; x++) {
unsigned long bit = 1UL << grid[y*w+x];
errmask |= (mask & bit);
mask |= bit;
}
if (mask != (1 << (w+1)) - (1 << 1)) {
errs = TRUE;
errmask &= ~1UL;
if (errors) {
for (x = 0; x < w; x++)
if (errmask & (1UL << grid[y*w+x]))
errors[y*w+x] |= EF_LATIN;
}
}
}
for (x = 0; x < w; x++) {
unsigned long mask = 0, errmask = 0;
for (y = 0; y < w; y++) {
unsigned long bit = 1UL << grid[y*w+x];
errmask |= (mask & bit);
mask |= bit;
}
if (mask != (1 << (w+1)) - (1 << 1)) {
errs = TRUE;
errmask &= ~1UL;
if (errors) {
for (y = 0; y < w; y++)
if (errmask & (1UL << grid[y*w+x]))
errors[y*w+x] |= EF_LATIN;
}
}
}
for (i = 1; i < w; i++)
for (j = 1; j < w; j++)
for (k = 1; k < w; k++)
if (grid[i*w+j] && grid[j*w+k] &&
grid[(grid[i*w+j]-1)*w+k] &&
grid[i*w+(grid[j*w+k]-1)] &&
grid[(grid[i*w+j]-1)*w+k] != grid[i*w+(grid[j*w+k]-1)]) {
if (errors) {
int a = i+1, b = j+1, c = k+1;
int ab = grid[i*w+j], bc = grid[j*w+k];
int left = (ab-1)*w+(c-1), right = (a-1)*w+(bc-1);
/*
* If the appropriate error slot is already
* used for one of the squares, we don't
* fill either of them.
*/
if (!(errors[left] & EF_LEFT_MASK) &&
!(errors[right] & EF_RIGHT_MASK)) {
long err;
err = a;
err = (err << EF_DIGIT_SHIFT) | b;
err = (err << EF_DIGIT_SHIFT) | c;
errors[left] |= err << EF_LEFT_SHIFT;
errors[right] |= err << EF_RIGHT_SHIFT;
}
}
errs = TRUE;
}
return errs;
}
static int find_in_sequence(digit *seq, int len, digit n)
{
int i;
for (i = 0; i < len; i++)
if (seq[i] == n)
return i;
assert(!"Should never get here");
return -1;
}
static char *interpret_move(const game_state *state, game_ui *ui,
const game_drawstate *ds,
int x, int y, int button)
{
int w = state->par.w;
int tx, ty;
char buf[80];
button &= ~MOD_MASK;
tx = FROMCOORD(x);
ty = FROMCOORD(y);
if (ui->drag) {
if (IS_MOUSE_DRAG(button)) {
int tcoord = ((ui->drag &~ 4) == 1 ? ty : tx);
ui->drag |= 4; /* some movement has happened */
if (tcoord >= 0 && tcoord < w) {
ui->dragpos = tcoord;
return "";
}
} else if (IS_MOUSE_RELEASE(button)) {
if (ui->drag & 4) {
ui->drag = 0; /* end drag */
if (state->sequence[ui->dragpos] == ui->dragnum)
return ""; /* drag was a no-op overall */
sprintf(buf, "D%d,%d", ui->dragnum, ui->dragpos);
return dupstr(buf);
} else {
ui->drag = 0; /* end 'drag' */
if (ui->edgepos > 0 && ui->edgepos < w) {
sprintf(buf, "V%d,%d",
state->sequence[ui->edgepos-1],
state->sequence[ui->edgepos]);
return dupstr(buf);
} else
return ""; /* no-op */
}
}
} else if (IS_MOUSE_DOWN(button)) {
if (tx >= 0 && tx < w && ty >= 0 && ty < w) {
int otx = tx, oty = ty;
tx = state->sequence[tx];
ty = state->sequence[ty];
if (button == LEFT_BUTTON) {
if (tx == ui->hx && ty == ui->hy &&
ui->hshow && ui->hpencil == 0) {
ui->hshow = 0;
} else {
ui->hx = tx;
ui->hy = ty;
ui->ohx = otx;
ui->ohy = oty;
ui->odx = ui->ody = 0;
ui->odn = 1;
ui->hshow = !state->immutable[ty*w+tx];
ui->hpencil = 0;
}
ui->hcursor = 0;
return ""; /* UI activity occurred */
}
if (button == RIGHT_BUTTON) {
/*
* Pencil-mode highlighting for non filled squares.
*/
if (state->grid[ty*w+tx] == 0) {
if (tx == ui->hx && ty == ui->hy &&
ui->hshow && ui->hpencil) {
ui->hshow = 0;
} else {
ui->hpencil = 1;
ui->hx = tx;
ui->hy = ty;
ui->ohx = otx;
ui->ohy = oty;
ui->odx = ui->ody = 0;
ui->odn = 1;
ui->hshow = 1;
}
} else {
ui->hshow = 0;
}
ui->hcursor = 0;
return ""; /* UI activity occurred */
}
} else if (tx >= 0 && tx < w && ty == -1) {
ui->drag = 2;
ui->dragnum = state->sequence[tx];
ui->dragpos = tx;
ui->edgepos = FROMCOORD(x + TILESIZE/2);
return "";
} else if (ty >= 0 && ty < w && tx == -1) {
ui->drag = 1;
ui->dragnum = state->sequence[ty];
ui->dragpos = ty;
ui->edgepos = FROMCOORD(y + TILESIZE/2);
return "";
}
} else if (IS_MOUSE_DRAG(button)) {
if (!ui->hpencil &&
tx >= 0 && tx < w && ty >= 0 && ty < w &&
abs(tx - ui->ohx) == abs(ty - ui->ohy)) {
ui->odn = abs(tx - ui->ohx) + 1;
ui->odx = (tx < ui->ohx ? -1 : +1);
ui->ody = (ty < ui->ohy ? -1 : +1);
} else {
ui->odx = ui->ody = 0;
ui->odn = 1;
}
return "";
}
if (IS_CURSOR_MOVE(button)) {
int cx = find_in_sequence(state->sequence, w, ui->hx);
int cy = find_in_sequence(state->sequence, w, ui->hy);
move_cursor(button, &cx, &cy, w, w, 0);
ui->hx = state->sequence[cx];
ui->hy = state->sequence[cy];
ui->hshow = ui->hcursor = 1;
return "";
}
if (ui->hshow &&
(button == CURSOR_SELECT)) {
ui->hpencil = 1 - ui->hpencil;
ui->hcursor = 1;
return "";
}
if (ui->hshow &&
((ISCHAR(button) && FROMCHAR(button, state->par.id) <= w) ||
button == CURSOR_SELECT2 || button == '\b')) {
int n = FROMCHAR(button, state->par.id);
int i, buflen;
char *movebuf;
if (button == CURSOR_SELECT2 || button == '\b')
n = 0;
for (i = 0; i < ui->odn; i++) {
int x = state->sequence[ui->ohx + i*ui->odx];
int y = state->sequence[ui->ohy + i*ui->ody];
int index = y*w+x;
/*
* Can't make pencil marks in a filled square. This can only
* become highlighted if we're using cursor keys.
*/
if (ui->hpencil && state->grid[index])
return NULL;
/*
* Can't do anything to an immutable square. Exception:
* trying to set it to what it already was is OK (so that
* multifilling can set a whole diagonal to a without
* having to detour round the one immutable square in the
* middle that already said a).
*/
if (!ui->hpencil && state->grid[index] == n)
/* OK even if it is immutable */;
else if (state->immutable[index])
return NULL;
}
movebuf = snewn(80 * ui->odn, char);
buflen = sprintf(movebuf, "%c%d,%d,%d",
(char)(ui->hpencil && n > 0 ? 'P' : 'R'),
ui->hx, ui->hy, n);
for (i = 1; i < ui->odn; i++) {
assert(buflen < i*80);
buflen += sprintf(movebuf + buflen, "+%d,%d",
state->sequence[ui->ohx + i*ui->odx],
state->sequence[ui->ohy + i*ui->ody]);
}
movebuf = sresize(movebuf, buflen+1, char);
if (!ui->hcursor) ui->hshow = 0;
return movebuf;
}
if (button == 'M' || button == 'm')
return dupstr("M");
return NULL;
}
static game_state *execute_move(const game_state *from, const char *move)
{
int w = from->par.w, a = w*w;
game_state *ret;
int x, y, i, j, n, pos;
if (move[0] == 'S') {
ret = dup_game(from);
ret->completed = ret->cheated = TRUE;
for (i = 0; i < a; i++) {
if (!ISCHAR(move[i+1]) || FROMCHAR(move[i+1], from->par.id) > w) {
free_game(ret);
return NULL;
}
ret->grid[i] = FROMCHAR(move[i+1], from->par.id);
ret->pencil[i] = 0;
}
if (move[a+1] != '\0') {
free_game(ret);
return NULL;
}
return ret;
} else if ((move[0] == 'P' || move[0] == 'R') &&
sscanf(move+1, "%d,%d,%d%n", &x, &y, &n, &pos) == 3 &&
n >= 0 && n <= w) {
const char *mp = move + 1 + pos;
int pencil = (move[0] == 'P');
ret = dup_game(from);
while (1) {
if (x < 0 || x >= w || y < 0 || y >= w) {
free_game(ret);
return NULL;
}
if (from->immutable[y*w+x] && !(!pencil && from->grid[y*w+x] == n))
return NULL;
if (move[0] == 'P' && n > 0) {
ret->pencil[y*w+x] ^= 1 << n;
} else {
ret->grid[y*w+x] = n;
ret->pencil[y*w+x] = 0;
}
if (!*mp)
break;
if (*mp != '+')
return NULL;
if (sscanf(mp, "+%d,%d%n", &x, &y, &pos) < 2)
return NULL;
mp += pos;
}
if (!ret->completed && !check_errors(ret, NULL))
ret->completed = TRUE;
return ret;
} else if (move[0] == 'M') {
/*
* Fill in absolutely all pencil marks everywhere. (I
* wouldn't use this for actual play, but it's a handy
* starting point when following through a set of
* diagnostics output by the standalone solver.)
*/
ret = dup_game(from);
for (i = 0; i < a; i++) {
if (!ret->grid[i])
ret->pencil[i] = (1 << (w+1)) - (1 << 1);
}
return ret;
} else if (move[0] == 'D' &&
sscanf(move+1, "%d,%d", &x, &y) == 2) {
/*
* Reorder the rows and columns so that digit x is in position
* y.
*/
ret = dup_game(from);
for (i = j = 0; i < w; i++) {
if (i == y) {
ret->sequence[i] = x;
} else {
if (from->sequence[j] == x)
j++;
ret->sequence[i] = from->sequence[j++];
}
}
/*
* Eliminate any obsoleted dividers.
*/
for (x = 0; x < w; x++) {
int i = ret->sequence[x];
int j = (x+1 < w ? ret->sequence[x+1] : -1);
if (ret->dividers[i] != j)
ret->dividers[i] = -1;
}
return ret;
} else if (move[0] == 'V' &&
sscanf(move+1, "%d,%d", &i, &j) == 2) {
ret = dup_game(from);
if (ret->dividers[i] == j)
ret->dividers[i] = -1;
else
ret->dividers[i] = j;
return ret;
} else
return NULL; /* couldn't parse move string */
}
/* ----------------------------------------------------------------------
* Drawing routines.
*/
#define SIZE(w) ((w) * TILESIZE + 2*BORDER + LEGEND)
static void game_compute_size(const game_params *params, int tilesize,
int *x, int *y)
{
/* Ick: fake up `ds->tilesize' for macro expansion purposes */
struct { int tilesize; } ads, *ds = &ads;
ads.tilesize = tilesize;
*x = *y = SIZE(params->w);
}
static void game_set_size(drawing *dr, game_drawstate *ds,
const game_params *params, int tilesize)
{
ds->tilesize = tilesize;
}
static float *game_colours(frontend *fe, int *ncolours)
{
float *ret = snewn(3 * NCOLOURS, float);
frontend_default_colour(fe, &ret[COL_BACKGROUND * 3]);
ret[COL_GRID * 3 + 0] = 0.0F;
ret[COL_GRID * 3 + 1] = 0.0F;
ret[COL_GRID * 3 + 2] = 0.0F;
ret[COL_USER * 3 + 0] = 0.0F;
ret[COL_USER * 3 + 1] = 0.6F * ret[COL_BACKGROUND * 3 + 1];
ret[COL_USER * 3 + 2] = 0.0F;
ret[COL_HIGHLIGHT * 3 + 0] = 0.78F * ret[COL_BACKGROUND * 3 + 0];
ret[COL_HIGHLIGHT * 3 + 1] = 0.78F * ret[COL_BACKGROUND * 3 + 1];
ret[COL_HIGHLIGHT * 3 + 2] = 0.78F * ret[COL_BACKGROUND * 3 + 2];
ret[COL_ERROR * 3 + 0] = 1.0F;
ret[COL_ERROR * 3 + 1] = 0.0F;
ret[COL_ERROR * 3 + 2] = 0.0F;
ret[COL_PENCIL * 3 + 0] = 0.5F * ret[COL_BACKGROUND * 3 + 0];
ret[COL_PENCIL * 3 + 1] = 0.5F * ret[COL_BACKGROUND * 3 + 1];
ret[COL_PENCIL * 3 + 2] = ret[COL_BACKGROUND * 3 + 2];
ret[COL_DIAGONAL * 3 + 0] = 0.95F * ret[COL_BACKGROUND * 3 + 0];
ret[COL_DIAGONAL * 3 + 1] = 0.95F * ret[COL_BACKGROUND * 3 + 1];
ret[COL_DIAGONAL * 3 + 2] = 0.95F * ret[COL_BACKGROUND * 3 + 2];
*ncolours = NCOLOURS;
return ret;
}
static game_drawstate *game_new_drawstate(drawing *dr, const game_state *state)
{
int w = state->par.w, a = w*w;
struct game_drawstate *ds = snew(struct game_drawstate);
int i;
ds->w = w;
ds->par = state->par; /* structure copy */
ds->tilesize = 0;
ds->started = FALSE;
ds->tiles = snewn(a, long);
ds->legend = snewn(w, long);
ds->pencil = snewn(a, long);
ds->errors = snewn(a, long);
ds->sequence = snewn(a, digit);
for (i = 0; i < a; i++)
ds->tiles[i] = ds->pencil[i] = -1;
for (i = 0; i < w; i++)
ds->legend[i] = -1;
ds->errtmp = snewn(a, long);
return ds;
}
static void game_free_drawstate(drawing *dr, game_drawstate *ds)
{
sfree(ds->tiles);
sfree(ds->pencil);
sfree(ds->errors);
sfree(ds->errtmp);
sfree(ds->sequence);
sfree(ds);
}
static void draw_tile(drawing *dr, game_drawstate *ds, int x, int y, long tile,
long pencil, long error)
{
int w = ds->w /* , a = w*w */;
int tx, ty, tw, th;
int cx, cy, cw, ch;
char str[64];
tx = BORDER + LEGEND + x * TILESIZE + 1;
ty = BORDER + LEGEND + y * TILESIZE + 1;
cx = tx;
cy = ty;
cw = tw = TILESIZE-1;
ch = th = TILESIZE-1;
if (tile & DF_LEGEND) {
cx += TILESIZE/10;
cy += TILESIZE/10;
cw -= TILESIZE/5;
ch -= TILESIZE/5;
tile |= DF_IMMUTABLE;
}
clip(dr, cx, cy, cw, ch);
/* background needs erasing */
draw_rect(dr, cx, cy, cw, ch,
(tile & DF_HIGHLIGHT) ? COL_HIGHLIGHT :
(x == y) ? COL_DIAGONAL : COL_BACKGROUND);
/* dividers */
if (tile & DF_DIVIDER_TOP)
draw_rect(dr, cx, cy, cw, 1, COL_GRID);
if (tile & DF_DIVIDER_BOT)
draw_rect(dr, cx, cy+ch-1, cw, 1, COL_GRID);
if (tile & DF_DIVIDER_LEFT)
draw_rect(dr, cx, cy, 1, ch, COL_GRID);
if (tile & DF_DIVIDER_RIGHT)
draw_rect(dr, cx+cw-1, cy, 1, ch, COL_GRID);
/* pencil-mode highlight */
if (tile & DF_HIGHLIGHT_PENCIL) {
int coords[6];
coords[0] = cx;
coords[1] = cy;
coords[2] = cx+cw/2;
coords[3] = cy;
coords[4] = cx;
coords[5] = cy+ch/2;
draw_polygon(dr, coords, 3, COL_HIGHLIGHT, COL_HIGHLIGHT);
}
/* new number needs drawing? */
if (tile & DF_DIGIT_MASK) {
str[1] = '\0';
str[0] = TOCHAR(tile & DF_DIGIT_MASK, ds->par.id);
draw_text(dr, tx + TILESIZE/2, ty + TILESIZE/2,
FONT_VARIABLE, TILESIZE/2, ALIGN_VCENTRE | ALIGN_HCENTRE,
(error & EF_LATIN) ? COL_ERROR :
(tile & DF_IMMUTABLE) ? COL_GRID : COL_USER, str);
if (error & EF_LEFT_MASK) {
int a = (error >> (EF_LEFT_SHIFT+2*EF_DIGIT_SHIFT))&EF_DIGIT_MASK;
int b = (error >> (EF_LEFT_SHIFT+1*EF_DIGIT_SHIFT))&EF_DIGIT_MASK;
int c = (error >> (EF_LEFT_SHIFT ))&EF_DIGIT_MASK;
char buf[10];
sprintf(buf, "(%c%c)%c", TOCHAR(a, ds->par.id),
TOCHAR(b, ds->par.id), TOCHAR(c, ds->par.id));
draw_text(dr, tx + TILESIZE/2, ty + TILESIZE/6,
FONT_VARIABLE, TILESIZE/6, ALIGN_VCENTRE | ALIGN_HCENTRE,
COL_ERROR, buf);
}
if (error & EF_RIGHT_MASK) {
int a = (error >> (EF_RIGHT_SHIFT+2*EF_DIGIT_SHIFT))&EF_DIGIT_MASK;
int b = (error >> (EF_RIGHT_SHIFT+1*EF_DIGIT_SHIFT))&EF_DIGIT_MASK;
int c = (error >> (EF_RIGHT_SHIFT ))&EF_DIGIT_MASK;
char buf[10];
sprintf(buf, "%c(%c%c)", TOCHAR(a, ds->par.id),
TOCHAR(b, ds->par.id), TOCHAR(c, ds->par.id));
draw_text(dr, tx + TILESIZE/2, ty + TILESIZE - TILESIZE/6,
FONT_VARIABLE, TILESIZE/6, ALIGN_VCENTRE | ALIGN_HCENTRE,
COL_ERROR, buf);
}
} else {
int i, j, npencil;
int pl, pr, pt, pb;
float bestsize;
int pw, ph, minph, pbest, fontsize;
/* Count the pencil marks required. */
for (i = 1, npencil = 0; i <= w; i++)
if (pencil & (1 << i))
npencil++;
if (npencil) {
minph = 2;
/*
* Determine the bounding rectangle within which we're going
* to put the pencil marks.
*/
/* Start with the whole square */
pl = tx + GRIDEXTRA;
pr = pl + TILESIZE - GRIDEXTRA;
pt = ty + GRIDEXTRA;
pb = pt + TILESIZE - GRIDEXTRA;
/*
* We arrange our pencil marks in a grid layout, with
* the number of rows and columns adjusted to allow the
* maximum font size.
*
* So now we work out what the grid size ought to be.
*/
bestsize = 0.0;
pbest = 0;
/* Minimum */
for (pw = 3; pw < max(npencil,4); pw++) {
float fw, fh, fs;
ph = (npencil + pw - 1) / pw;
ph = max(ph, minph);
fw = (pr - pl) / (float)pw;
fh = (pb - pt) / (float)ph;
fs = min(fw, fh);
if (fs > bestsize) {
bestsize = fs;
pbest = pw;
}
}
assert(pbest > 0);
pw = pbest;
ph = (npencil + pw - 1) / pw;
ph = max(ph, minph);
/*
* Now we've got our grid dimensions, work out the pixel
* size of a grid element, and round it to the nearest
* pixel. (We don't want rounding errors to make the
* grid look uneven at low pixel sizes.)
*/
fontsize = min((pr - pl) / pw, (pb - pt) / ph);
/*
* Centre the resulting figure in the square.
*/
pl = tx + (TILESIZE - fontsize * pw) / 2;
pt = ty + (TILESIZE - fontsize * ph) / 2;
/*
* Now actually draw the pencil marks.
*/
for (i = 1, j = 0; i <= w; i++)
if (pencil & (1 << i)) {
int dx = j % pw, dy = j / pw;
str[1] = '\0';
str[0] = TOCHAR(i, ds->par.id);
draw_text(dr, pl + fontsize * (2*dx+1) / 2,
pt + fontsize * (2*dy+1) / 2,
FONT_VARIABLE, fontsize,
ALIGN_VCENTRE | ALIGN_HCENTRE, COL_PENCIL, str);
j++;
}
}
}
unclip(dr);
draw_update(dr, cx, cy, cw, ch);
}
static void game_redraw(drawing *dr, game_drawstate *ds,
const game_state *oldstate, const game_state *state,
int dir, const game_ui *ui,
float animtime, float flashtime)
{
int w = state->par.w /*, a = w*w */;
int x, y, i, j;
if (!ds->started) {
/*
* The initial contents of the window are not guaranteed and
* can vary with front ends. To be on the safe side, all
* games should start by drawing a big background-colour
* rectangle covering the whole window.
*/
draw_rect(dr, 0, 0, SIZE(w), SIZE(w), COL_BACKGROUND);
/*
* Big containing rectangle.
*/
draw_rect(dr, COORD(0) - GRIDEXTRA, COORD(0) - GRIDEXTRA,
w*TILESIZE+1+GRIDEXTRA*2, w*TILESIZE+1+GRIDEXTRA*2,
COL_GRID);
draw_update(dr, 0, 0, SIZE(w), SIZE(w));
ds->started = TRUE;
}
check_errors(state, ds->errtmp);
/*
* Construct a modified version of state->sequence which takes
* into account an unfinished drag operation.
*/
if (ui->drag) {
x = ui->dragnum;
y = ui->dragpos;
} else {
x = y = -1;
}
for (i = j = 0; i < w; i++) {
if (i == y) {
ds->sequence[i] = x;
} else {
if (state->sequence[j] == x)
j++;
ds->sequence[i] = state->sequence[j++];
}
}
/*
* Draw the table legend.
*/
for (x = 0; x < w; x++) {
int sx = ds->sequence[x];
long tile = (sx+1) | DF_LEGEND;
if (ds->legend[x] != tile) {
ds->legend[x] = tile;
draw_tile(dr, ds, -1, x, tile, 0, 0);
draw_tile(dr, ds, x, -1, tile, 0, 0);
}
}
for (y = 0; y < w; y++) {
int sy = ds->sequence[y];
for (x = 0; x < w; x++) {
long tile = 0L, pencil = 0L, error;
int sx = ds->sequence[x];
if (state->grid[sy*w+sx])
tile = state->grid[sy*w+sx];
else
pencil = (long)state->pencil[sy*w+sx];
if (state->immutable[sy*w+sx])
tile |= DF_IMMUTABLE;
if ((ui->drag == 5 && ui->dragnum == sy) ||
(ui->drag == 6 && ui->dragnum == sx)) {
tile |= DF_HIGHLIGHT;
} else if (ui->hshow) {
int i = abs(x - ui->ohx);
int highlight = 0;
if (ui->odn > 1) {
/*
* When a diagonal multifill selection is shown,
* we show it in its original grid position
* regardless of in-progress row/col drags. Moving
* every square about would be horrible.
*/
if (i >= 0 && i < ui->odn &&
x == ui->ohx + i*ui->odx &&
y == ui->ohy + i*ui->ody)
highlight = 1;
} else {
/*
* For a single square, we move its highlight
* around with the drag.
*/
highlight = (ui->hx == sx && ui->hy == sy);
}
if (highlight)
tile |= (ui->hpencil ? DF_HIGHLIGHT_PENCIL : DF_HIGHLIGHT);
}
if (flashtime > 0 &&
(flashtime <= FLASH_TIME/3 ||
flashtime >= FLASH_TIME*2/3))
tile |= DF_HIGHLIGHT; /* completion flash */
if (y <= 0 || state->dividers[ds->sequence[y-1]] == sy)
tile |= DF_DIVIDER_TOP;
if (y+1 >= w || state->dividers[sy] == ds->sequence[y+1])
tile |= DF_DIVIDER_BOT;
if (x <= 0 || state->dividers[ds->sequence[x-1]] == sx)
tile |= DF_DIVIDER_LEFT;
if (x+1 >= w || state->dividers[sx] == ds->sequence[x+1])
tile |= DF_DIVIDER_RIGHT;
error = ds->errtmp[sy*w+sx];
if (ds->tiles[y*w+x] != tile ||
ds->pencil[y*w+x] != pencil ||
ds->errors[y*w+x] != error) {
ds->tiles[y*w+x] = tile;
ds->pencil[y*w+x] = pencil;
ds->errors[y*w+x] = error;
draw_tile(dr, ds, x, y, tile, pencil, error);
}
}
}
}
static float game_anim_length(const game_state *oldstate,
const game_state *newstate, int dir, game_ui *ui)
{
return 0.0F;
}
static float game_flash_length(const game_state *oldstate,
const game_state *newstate, int dir, game_ui *ui)
{
if (!oldstate->completed && newstate->completed &&
!oldstate->cheated && !newstate->cheated)
return FLASH_TIME;
return 0.0F;
}
static int game_status(const game_state *state)
{
return state->completed ? +1 : 0;
}
static int game_timing_state(const game_state *state, game_ui *ui)
{
if (state->completed)
return FALSE;
return TRUE;
}
static void game_print_size(const game_params *params, float *x, float *y)
{
int pw, ph;
/*
* We use 9mm squares by default, like Solo.
*/
game_compute_size(params, 900, &pw, &ph);
*x = pw / 100.0F;
*y = ph / 100.0F;
}
static void game_print(drawing *dr, const game_state *state, int tilesize)
{
int w = state->par.w;
int ink = print_mono_colour(dr, 0);
int x, y;
/* Ick: fake up `ds->tilesize' for macro expansion purposes */
game_drawstate ads, *ds = &ads;
game_set_size(dr, ds, NULL, tilesize);
/*
* Border.
*/
print_line_width(dr, 3 * TILESIZE / 40);
draw_rect_outline(dr, BORDER + LEGEND, BORDER + LEGEND,
w*TILESIZE, w*TILESIZE, ink);
/*
* Legend on table.
*/
for (x = 0; x < w; x++) {
char str[2];
str[1] = '\0';
str[0] = TOCHAR(x+1, state->par.id);
draw_text(dr, BORDER+LEGEND + x*TILESIZE + TILESIZE/2,
BORDER + TILESIZE/2,
FONT_VARIABLE, TILESIZE/2,
ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str);
draw_text(dr, BORDER + TILESIZE/2,
BORDER+LEGEND + x*TILESIZE + TILESIZE/2,
FONT_VARIABLE, TILESIZE/2,
ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str);
}
/*
* Main grid.
*/
for (x = 1; x < w; x++) {
print_line_width(dr, TILESIZE / 40);
draw_line(dr, BORDER+LEGEND+x*TILESIZE, BORDER+LEGEND,
BORDER+LEGEND+x*TILESIZE, BORDER+LEGEND+w*TILESIZE, ink);
}
for (y = 1; y < w; y++) {
print_line_width(dr, TILESIZE / 40);
draw_line(dr, BORDER+LEGEND, BORDER+LEGEND+y*TILESIZE,
BORDER+LEGEND+w*TILESIZE, BORDER+LEGEND+y*TILESIZE, ink);
}
/*
* Numbers.
*/
for (y = 0; y < w; y++)
for (x = 0; x < w; x++)
if (state->grid[y*w+x]) {
char str[2];
str[1] = '\0';
str[0] = TOCHAR(state->grid[y*w+x], state->par.id);
draw_text(dr, BORDER+LEGEND + x*TILESIZE + TILESIZE/2,
BORDER+LEGEND + y*TILESIZE + TILESIZE/2,
FONT_VARIABLE, TILESIZE/2,
ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str);
}
}
#ifdef COMBINED
#define thegame group
#endif
const struct game thegame = {
"Group", NULL, NULL,
default_params,
game_fetch_preset, NULL,
decode_params,
encode_params,
free_params,
dup_params,
TRUE, game_configure, custom_params,
validate_params,
new_game_desc,
validate_desc,
new_game,
dup_game,
free_game,
TRUE, solve_game,
TRUE, game_can_format_as_text_now, game_text_format,
new_ui,
free_ui,
encode_ui,
decode_ui,
game_changed_state,
interpret_move,
execute_move,
PREFERRED_TILESIZE, game_compute_size, game_set_size,
game_colours,
game_new_drawstate,
game_free_drawstate,
game_redraw,
game_anim_length,
game_flash_length,
game_status,
TRUE, FALSE, game_print_size, game_print,
FALSE, /* wants_statusbar */
FALSE, game_timing_state,
REQUIRE_RBUTTON | REQUIRE_NUMPAD, /* flags */
};
#ifdef STANDALONE_SOLVER
#include <stdarg.h>
int main(int argc, char **argv)
{
game_params *p;
game_state *s;
char *id = NULL, *desc, *err;
digit *grid;
int grade = FALSE;
int ret, diff, really_show_working = FALSE;
while (--argc > 0) {
char *p = *++argv;
if (!strcmp(p, "-v")) {
really_show_working = TRUE;
} else if (!strcmp(p, "-g")) {
grade = TRUE;
} else if (*p == '-') {
fprintf(stderr, "%s: unrecognised option `%s'\n", argv[0], p);
return 1;
} else {
id = p;
}
}
if (!id) {
fprintf(stderr, "usage: %s [-g | -v] <game_id>\n", argv[0]);
return 1;
}
desc = strchr(id, ':');
if (!desc) {
fprintf(stderr, "%s: game id expects a colon in it\n", argv[0]);
return 1;
}
*desc++ = '\0';
p = default_params();
decode_params(p, id);
err = validate_desc(p, desc);
if (err) {
fprintf(stderr, "%s: %s\n", argv[0], err);
return 1;
}
s = new_game(NULL, p, desc);
grid = snewn(p->w * p->w, digit);
/*
* When solving a Normal puzzle, we don't want to bother the
* user with Hard-level deductions. For this reason, we grade
* the puzzle internally before doing anything else.
*/
ret = -1; /* placate optimiser */
solver_show_working = FALSE;
for (diff = 0; diff < DIFFCOUNT; diff++) {
memcpy(grid, s->grid, p->w * p->w);
ret = solver(&s->par, grid, diff);
if (ret <= diff)
break;
}
if (diff == DIFFCOUNT) {
if (grade)
printf("Difficulty rating: ambiguous\n");
else
printf("Unable to find a unique solution\n");
} else {
if (grade) {
if (ret == diff_impossible)
printf("Difficulty rating: impossible (no solution exists)\n");
else
printf("Difficulty rating: %s\n", group_diffnames[ret]);
} else {
solver_show_working = really_show_working;
memcpy(grid, s->grid, p->w * p->w);
ret = solver(&s->par, grid, diff);
if (ret != diff)
printf("Puzzle is inconsistent\n");
else {
memcpy(s->grid, grid, p->w * p->w);
fputs(game_text_format(s), stdout);
}
}
}
return 0;
}
#endif
/* vim: set shiftwidth=4 tabstop=8: */
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