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puzzles/dominosa.c
Simon Tatham 2ec6daee32 Dominosa: new deduction deduce_local_duplicate(). 
This is a reasonably simple local deduction I've been using myself for
ages, and feel comfortable adding to the existing Basic difficulty
level.
2019-04-04 23:58:31 +01:00

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/*
* dominosa.c: Domino jigsaw puzzle. Aim to place one of every
* possible domino within a rectangle in such a way that the number
* on each square matches the provided clue.
*/
/*
* TODO:
*
* - improve solver so as to use more interesting forms of
* deduction
*
* * rule out a domino placement if it would divide an unfilled
* region such that at least one resulting region had an odd
* area
* + Tarjan's bridge-finding algorithm would be a way to find
* domino placements that split a connected region in two:
* form the graph whose vertices are unpaired squares and
* whose edges are potential (not placed but also not ruled
* out) dominoes covering two of them, and any bridge in that
* graph is a candidate.
* + Then, finding any old spanning forest of the unfilled
* squares should be sufficient to determine the area parity
* of the region that any such placement would cut off.
*
* * set analysis
* + look at all unclaimed squares containing a given number
* + for each one, find the set of possible numbers that it
* can connect to (i.e. each neighbouring tile such that
* the placement between it and that neighbour has not yet
* been ruled out)
* + now proceed similarly to Solo set analysis: try to find
* a subset of the squares such that the union of their
* possible numbers is the same size as the subset. If so,
* rule out those possible numbers for all other squares.
* * important wrinkle: the double dominoes complicate
* matters. Connecting a number to itself uses up _two_
* of the unclaimed squares containing a number. Thus,
* when finding the initial subset we must never
* include two adjacent squares; and also, when ruling
* things out after finding the subset, we must be
* careful that we don't rule out precisely the domino
* placement that was _included_ in our set!
*
* * identify 'forcing chains', in the sense of any path of cells
* each of which has only two possible dominoes to be part of,
* and each of those rules out one of the choices for the next
* cell. Such a chain has the property that either all the odd
* dominoes are placed, or all the even ones are placed; so if
* either set of those introduces a conflict (e.g. a dupe within
* the chain, or using up all of some other square's choices),
* then the whole set can be ruled out, and the other set played
* immediately.
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include <ctype.h>
#include <math.h>
#include "puzzles.h"
/* nth triangular number */
#define TRI(n) ( (n) * ((n) + 1) / 2 )
/* number of dominoes for value n */
#define DCOUNT(n) TRI((n)+1)
/* map a pair of numbers to a unique domino index from 0 upwards. */
#define DINDEX(n1,n2) ( TRI(max(n1,n2)) + min(n1,n2) )
#define FLASH_TIME 0.13F
/*
* 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(X) \
X(TRIVIAL,Trivial,t) \
X(BASIC,Basic,b) \
X(AMBIGUOUS,Ambiguous,a) \
/* end of list */
#define ENUM(upper,title,lower) DIFF_ ## upper,
#define TITLE(upper,title,lower) #title,
#define ENCODE(upper,title,lower) #lower
#define CONFIG(upper,title,lower) ":" #title
enum { DIFFLIST(ENUM) DIFFCOUNT };
static char const *const dominosa_diffnames[] = { DIFFLIST(TITLE) };
static char const dominosa_diffchars[] = DIFFLIST(ENCODE);
#define DIFFCONFIG DIFFLIST(CONFIG)
enum {
COL_BACKGROUND,
COL_TEXT,
COL_DOMINO,
COL_DOMINOCLASH,
COL_DOMINOTEXT,
COL_EDGE,
COL_HIGHLIGHT_1,
COL_HIGHLIGHT_2,
NCOLOURS
};
struct game_params {
int n;
int diff;
};
struct game_numbers {
int refcount;
int *numbers; /* h x w */
};
#define EDGE_L 0x100
#define EDGE_R 0x200
#define EDGE_T 0x400
#define EDGE_B 0x800
struct game_state {
game_params params;
int w, h;
struct game_numbers *numbers;
int *grid;
unsigned short *edges; /* h x w */
bool completed, cheated;
};
static game_params *default_params(void)
{
game_params *ret = snew(game_params);
ret->n = 6;
ret->diff = DIFF_BASIC;
return ret;
}
static const struct game_params dominosa_presets[] = {
{ 3, DIFF_TRIVIAL },
{ 4, DIFF_TRIVIAL },
{ 5, DIFF_TRIVIAL },
{ 6, DIFF_TRIVIAL },
{ 4, DIFF_BASIC },
{ 5, DIFF_BASIC },
{ 6, DIFF_BASIC },
{ 7, DIFF_BASIC },
{ 8, DIFF_BASIC },
{ 9, DIFF_BASIC },
};
static bool game_fetch_preset(int i, char **name, game_params **params_out)
{
game_params *params;
char buf[80];
if (i < 0 || i >= lenof(dominosa_presets))
return false;
params = snew(game_params);
*params = dominosa_presets[i]; /* structure copy */
sprintf(buf, "Order %d, %s", params->n, dominosa_diffnames[params->diff]);
*name = dupstr(buf);
*params_out = params;
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)
{
const char *p = string;
params->n = atoi(p);
while (*p && isdigit((unsigned char)*p)) p++;
while (*p) {
char c = *p++;
if (c == 'a') {
/* Legacy encoding from before the difficulty system */
params->diff = DIFF_AMBIGUOUS;
} else if (c == 'd') {
int i;
params->diff = DIFFCOUNT+1; /* ...which is invalid */
if (*p) {
for (i = 0; i < DIFFCOUNT; i++) {
if (*p == dominosa_diffchars[i])
params->diff = i;
}
p++;
}
}
}
}
static char *encode_params(const game_params *params, bool full)
{
char buf[80];
int len = sprintf(buf, "%d", params->n);
if (full)
len += sprintf(buf + len, "d%c", dominosa_diffchars[params->diff]);
return dupstr(buf);
}
static config_item *game_configure(const game_params *params)
{
config_item *ret;
char buf[80];
ret = snewn(3, config_item);
ret[0].name = "Maximum number on dominoes";
ret[0].type = C_STRING;
sprintf(buf, "%d", params->n);
ret[0].u.string.sval = dupstr(buf);
ret[1].name = "Difficulty";
ret[1].type = C_CHOICES;
ret[1].u.choices.choicenames = DIFFCONFIG;
ret[1].u.choices.selected = params->diff;
ret[2].name = NULL;
ret[2].type = C_END;
return ret;
}
static game_params *custom_params(const config_item *cfg)
{
game_params *ret = snew(game_params);
ret->n = atoi(cfg[0].u.string.sval);
ret->diff = cfg[1].u.choices.selected;
return ret;
}
static const char *validate_params(const game_params *params, bool full)
{
if (params->n < 1)
return "Maximum face number must be at least one";
if (params->diff >= DIFFCOUNT)
return "Unknown difficulty rating";
return NULL;
}
/* ----------------------------------------------------------------------
* Solver.
*/
#ifdef STANDALONE_SOLVER
#define SOLVER_DIAGNOSTICS
bool solver_diagnostics = false;
#endif
struct solver_domino;
struct solver_placement;
/*
* Information about a particular domino.
*/
struct solver_domino {
/* The numbers on the domino. */
int lo, hi;
/* List of placements not yet ruled out for this domino. */
int nplacements;
struct solver_placement **placements;
#ifdef SOLVER_DIAGNOSTICS
/* A textual name we can easily reuse in solver diagnostics. */
char *name;
#endif
};
/*
* Information about a particular 'placement' (i.e. specific location
* that a domino might go in).
*/
struct solver_placement {
/* The two squares that make up this placement. */
struct solver_square *squares[2];
/* The domino that has to go in this position, if any. */
struct solver_domino *domino;
/* The index of this placement in each square's placements array,
* and in that of the domino. */
int spi[2], dpi;
/* Whether this is still considered a possible placement. */
bool active;
/* Other domino placements that overlap with this one. (Maximum 6:
* three overlapping each square of the placement.) */
int noverlaps;
struct solver_placement *overlaps[6];
#ifdef SOLVER_DIAGNOSTICS
/* A textual name we can easily reuse in solver diagnostics. */
char *name;
#endif
};
/*
* Information about a particular solver square.
*/
struct solver_square {
/* The coordinates of the square, and its index in a normal grid array. */
int x, y, index;
/* List of domino placements not yet ruled out for this square. */
int nplacements;
struct solver_placement *placements[4];
/* The number in the square. */
int number;
#ifdef SOLVER_DIAGNOSTICS
/* A textual name we can easily reuse in solver diagnostics. */
char *name;
#endif
};
struct solver_scratch {
int n, dc, pc, w, h, wh;
int max_diff_used;
struct solver_domino *dominoes;
struct solver_placement *placements;
struct solver_square *squares;
struct solver_placement **domino_placement_lists;
};
static struct solver_scratch *solver_make_scratch(int n)
{
int dc = DCOUNT(n), w = n+2, h = n+1, wh = w*h;
int pc = (w-1)*h + w*(h-1);
struct solver_scratch *sc = snew(struct solver_scratch);
int hi, lo, di, x, y, pi, si;
sc->n = n;
sc->dc = dc;
sc->pc = pc;
sc->w = w;
sc->h = h;
sc->wh = wh;
sc->dominoes = snewn(dc, struct solver_domino);
sc->placements = snewn(pc, struct solver_placement);
sc->squares = snewn(wh, struct solver_square);
sc->domino_placement_lists = snewn(pc, struct solver_placement *);
for (di = hi = 0; hi <= n; hi++) {
for (lo = 0; lo <= hi; lo++) {
assert(di == DINDEX(hi, lo));
sc->dominoes[di].hi = hi;
sc->dominoes[di].lo = lo;
#ifdef SOLVER_DIAGNOSTICS
{
char buf[128];
sprintf(buf, "%d-%d", hi, lo);
sc->dominoes[di].name = dupstr(buf);
}
#endif
di++;
}
}
for (y = 0; y < h; y++) {
for (x = 0; x < w; x++) {
struct solver_square *sq = &sc->squares[y*w+x];
sq->x = x;
sq->y = y;
sq->index = y * w + x;
sq->nplacements = 0;
#ifdef SOLVER_DIAGNOSTICS
{
char buf[128];
sprintf(buf, "(%d,%d)", x, y);
sq->name = dupstr(buf);
}
#endif
}
}
pi = 0;
for (y = 0; y < h-1; y++) {
for (x = 0; x < w; x++) {
assert(pi < pc);
sc->placements[pi].squares[0] = &sc->squares[y*w+x];
sc->placements[pi].squares[1] = &sc->squares[(y+1)*w+x];
#ifdef SOLVER_DIAGNOSTICS
{
char buf[128];
sprintf(buf, "(%d,%d-%d)", x, y, y+1);
sc->placements[pi].name = dupstr(buf);
}
#endif
pi++;
}
}
for (y = 0; y < h; y++) {
for (x = 0; x < w-1; x++) {
assert(pi < pc);
sc->placements[pi].squares[0] = &sc->squares[y*w+x];
sc->placements[pi].squares[1] = &sc->squares[y*w+(x+1)];
#ifdef SOLVER_DIAGNOSTICS
{
char buf[128];
sprintf(buf, "(%d-%d,%d)", x, x+1, y);
sc->placements[pi].name = dupstr(buf);
}
#endif
pi++;
}
}
assert(pi == pc);
/* Set up the full placement lists for all squares, temporarily,
* so as to use them to calculate the overlap lists */
for (si = 0; si < wh; si++)
sc->squares[si].nplacements = 0;
for (pi = 0; pi < pc; pi++) {
struct solver_placement *p = &sc->placements[pi];
for (si = 0; si < 2; si++) {
struct solver_square *sq = p->squares[si];
p->spi[si] = sq->nplacements;
sq->placements[sq->nplacements++] = p;
}
}
/* Actually calculate the overlap lists */
for (pi = 0; pi < pc; pi++) {
struct solver_placement *p = &sc->placements[pi];
p->noverlaps = 0;
for (si = 0; si < 2; si++) {
struct solver_square *sq = p->squares[si];
int j;
for (j = 0; j < sq->nplacements; j++) {
struct solver_placement *q = sq->placements[j];
if (q != p)
p->overlaps[p->noverlaps++] = q;
}
}
}
return sc;
}
static void solver_free_scratch(struct solver_scratch *sc)
{
#ifdef SOLVER_DIAGNOSTICS
{
int i;
for (i = 0; i < sc->dc; i++)
sfree(sc->dominoes[i].name);
for (i = 0; i < sc->pc; i++)
sfree(sc->placements[i].name);
for (i = 0; i < sc->wh; i++)
sfree(sc->squares[i].name);
}
#endif
sfree(sc->dominoes);
sfree(sc->placements);
sfree(sc->squares);
sfree(sc->domino_placement_lists);
sfree(sc);
}
static void solver_setup_grid(struct solver_scratch *sc, const int *numbers)
{
int i, j;
for (i = 0; i < sc->wh; i++) {
sc->squares[i].nplacements = 0;
sc->squares[i].number = numbers[sc->squares[i].index];
}
for (i = 0; i < sc->pc; i++) {
struct solver_placement *p = &sc->placements[i];
int di = DINDEX(p->squares[0]->number, p->squares[1]->number);
p->domino = &sc->dominoes[di];
}
for (i = 0; i < sc->dc; i++)
sc->dominoes[i].nplacements = 0;
for (i = 0; i < sc->pc; i++)
sc->placements[i].domino->nplacements++;
for (i = j = 0; i < sc->dc; i++) {
sc->dominoes[i].placements = sc->domino_placement_lists + j;
j += sc->dominoes[i].nplacements;
sc->dominoes[i].nplacements = 0;
}
for (i = 0; i < sc->pc; i++) {
struct solver_placement *p = &sc->placements[i];
p->dpi = p->domino->nplacements;
p->domino->placements[p->domino->nplacements++] = p;
p->active = true;
}
for (i = 0; i < sc->wh; i++)
sc->squares[i].nplacements = 0;
for (i = 0; i < sc->pc; i++) {
struct solver_placement *p = &sc->placements[i];
for (j = 0; j < 2; j++) {
struct solver_square *sq = p->squares[j];
p->spi[j] = sq->nplacements;
sq->placements[sq->nplacements++] = p;
}
}
sc->max_diff_used = DIFF_TRIVIAL;
}
/* Given two placements p,q that overlap, returns si such that
* p->squares[si] is the square also in q */
static int common_square_index(struct solver_placement *p,
struct solver_placement *q)
{
return (p->squares[0] == q->squares[0] ||
p->squares[0] == q->squares[1]) ? 0 : 1;
}
static void rule_out_placement(
struct solver_scratch *sc, struct solver_placement *p)
{
struct solver_domino *d = p->domino;
int i, j, si;
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics)
printf(" ruling out placement %s for domino %s\n", p->name, d->name);
#endif
p->active = false;
i = p->dpi;
assert(d->placements[i] == p);
if (--d->nplacements != i) {
d->placements[i] = d->placements[d->nplacements];
d->placements[i]->dpi = i;
}
for (si = 0; si < 2; si++) {
struct solver_square *sq = p->squares[si];
i = p->spi[si];
assert(sq->placements[i] == p);
if (--sq->nplacements != i) {
sq->placements[i] = sq->placements[sq->nplacements];
j = (sq->placements[i]->squares[0] == sq ? 0 : 1);
sq->placements[i]->spi[j] = i;
}
}
}
/*
* If a domino has only one placement remaining, rule out all other
* placements that overlap it.
*/
static bool deduce_domino_single_placement(struct solver_scratch *sc, int di)
{
struct solver_domino *d = &sc->dominoes[di];
struct solver_placement *p, *q;
int oi;
bool done_something = false;
if (d->nplacements != 1)
return false;
p = d->placements[0];
for (oi = 0; oi < p->noverlaps; oi++) {
q = p->overlaps[oi];
if (q->active) {
if (!done_something) {
done_something = true;
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics)
printf("domino %s has unique placement %s\n",
d->name, p->name);
#endif
}
rule_out_placement(sc, q);
}
}
return done_something;
}
/*
* If a square has only one placement remaining, rule out all other
* placements of its domino.
*/
static bool deduce_square_single_placement(struct solver_scratch *sc, int si)
{
struct solver_square *sq = &sc->squares[si];
struct solver_placement *p;
struct solver_domino *d;
if (sq->nplacements != 1)
return false;
p = sq->placements[0];
d = p->domino;
if (d->nplacements <= 1)
return false; /* we already knew everything this would tell us */
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics)
printf("square %s has unique placement %s (domino %s)\n",
sq->name, p->name, p->domino->name);
#endif
while (d->nplacements > 1)
rule_out_placement(
sc, d->placements[0] == p ? d->placements[1] : d->placements[0]);
return true;
}
/*
* If all placements for a square involve the same domino, rule out
* all other placements of that domino.
*/
static bool deduce_square_single_domino(struct solver_scratch *sc, int si)
{
struct solver_square *sq = &sc->squares[si];
struct solver_domino *d;
int i;
/*
* We only bother with this if the square has at least _two_
* placements. If it only has one, then a simpler deduction will
* have handled it already, or will do so the next time round the
* main solver loop - and we should let the simpler deduction do
* it, because that will give a less overblown diagnostic.
*/
if (sq->nplacements < 2)
return false;
d = sq->placements[0]->domino;
for (i = 1; i < sq->nplacements; i++)
if (sq->placements[i]->domino != d)
return false; /* not all the same domino */
if (d->nplacements <= sq->nplacements)
return false; /* no other placements of d to rule out */
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics)
printf("square %s can only contain domino %s\n", sq->name, d->name);
#endif
for (i = d->nplacements; i-- > 0 ;) {
struct solver_placement *p = d->placements[i];
if (p->squares[0] != sq && p->squares[1] != sq)
rule_out_placement(sc, p);
}
return true;
}
/*
* If any placement is overlapped by _all_ possible placements of a
* given domino, rule that placement out.
*/
static bool deduce_domino_must_overlap(struct solver_scratch *sc, int di)
{
struct solver_domino *d = &sc->dominoes[di];
struct solver_placement *intersection[6], *p;
int nintersection = 0;
int i, j, k;
/*
* As in deduce_square_single_domino, we only bother with this
* deduction if the domino has at least two placements.
*/
if (d->nplacements < 2)
return false;
/* Initialise our set of overlapped placements with all the active
* ones overlapped by placements[0]. */
p = d->placements[0];
for (i = 0; i < p->noverlaps; i++)
if (p->overlaps[i]->active)
intersection[nintersection++] = p->overlaps[i];
/* Now loop over the other placements of d, winnowing that set. */
for (j = 1; j < d->nplacements; j++) {
int old_n;
p = d->placements[j];
old_n = nintersection;
nintersection = 0;
for (k = 0; k < old_n; k++) {
for (i = 0; i < p->noverlaps; i++)
if (p->overlaps[i] == intersection[k])
goto found;
/* If intersection[k] isn't in p->overlaps, exclude it
* from our set of placements overlapped by everything */
continue;
found:
intersection[nintersection++] = intersection[k];
}
}
if (nintersection == 0)
return false; /* no new exclusions */
for (i = 0; i < nintersection; i++) {
p = intersection[i];
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics) {
printf("placement %s of domino %s overlaps all placements "
"of domino %s:", p->name, p->domino->name, d->name);
for (j = 0; j < d->nplacements; j++)
printf(" %s", d->placements[j]->name);
printf("\n");
}
#endif
rule_out_placement(sc, p);
}
return true;
}
/*
* If a placement of domino D overlaps the only remaining placement
* for some square S which is not also for domino D, then placing D
* here would require another copy of it in S, so we can rule it out.
*/
static bool deduce_local_duplicate(struct solver_scratch *sc, int pi)
{
struct solver_placement *p = &sc->placements[pi];
struct solver_domino *d = p->domino;
int i, j;
if (!p->active)
return false;
for (i = 0; i < p->noverlaps; i++) {
struct solver_placement *q = p->overlaps[i];
struct solver_square *sq;
if (!q->active)
continue;
/* Find the square of q that _isn't_ part of p */
sq = q->squares[1 - common_square_index(q, p)];
for (j = 0; j < sq->nplacements; j++)
if (sq->placements[j] != q && sq->placements[j]->domino != d)
goto no;
/* If we get here, every possible placement for sq is either q
* itself, or another copy of d. Success! We can rule out p. */
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics) {
printf("placement %s of domino %s would force another copy of %s "
"in square %s\n", p->name, d->name, d->name, sq->name);
}
#endif
rule_out_placement(sc, p);
return true;
no:;
}
return false;
}
/*
* Run the solver until it can't make any more progress.
*
* Return value is:
* 0 = no solution exists (puzzle clues are unsatisfiable)
* 1 = unique solution found (success!)
* 2 = multiple possibilities remain (puzzle is ambiguous or solver is not
* smart enough)
*/
static int run_solver(struct solver_scratch *sc, int max_diff_allowed)
{
int di, si, pi;
bool done_something;
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics) {
int di, j;
printf("Initial possible placements:\n");
for (di = 0; di < sc->dc; di++) {
struct solver_domino *d = &sc->dominoes[di];
printf(" %s:", d->name);
for (j = 0; j < d->nplacements; j++)
printf(" %s", d->placements[j]->name);
printf("\n");
}
}
#endif
do {
done_something = false;
for (di = 0; di < sc->dc; di++)
if (deduce_domino_single_placement(sc, di))
done_something = true;
if (done_something) {
sc->max_diff_used = max(sc->max_diff_used, DIFF_TRIVIAL);
continue;
}
for (si = 0; si < sc->wh; si++)
if (deduce_square_single_placement(sc, si))
done_something = true;
if (done_something) {
sc->max_diff_used = max(sc->max_diff_used, DIFF_TRIVIAL);
continue;
}
if (max_diff_allowed <= DIFF_TRIVIAL)
continue;
for (si = 0; si < sc->wh; si++)
if (deduce_square_single_domino(sc, si))
done_something = true;
if (done_something) {
sc->max_diff_used = max(sc->max_diff_used, DIFF_BASIC);
continue;
}
for (di = 0; di < sc->dc; di++)
if (deduce_domino_must_overlap(sc, di))
done_something = true;
if (done_something) {
sc->max_diff_used = max(sc->max_diff_used, DIFF_BASIC);
continue;
}
for (pi = 0; pi < sc->pc; pi++)
if (deduce_local_duplicate(sc, pi))
done_something = true;
if (done_something) {
sc->max_diff_used = max(sc->max_diff_used, DIFF_BASIC);
continue;
}
} while (done_something);
#ifdef SOLVER_DIAGNOSTICS
if (solver_diagnostics) {
int di, j;
printf("Final possible placements:\n");
for (di = 0; di < sc->dc; di++) {
struct solver_domino *d = &sc->dominoes[di];
printf(" %s:", d->name);
for (j = 0; j < d->nplacements; j++)
printf(" %s", d->placements[j]->name);
printf("\n");
}
}
#endif
for (di = 0; di < sc->dc; di++)
if (sc->dominoes[di].nplacements == 0)
return 0;
for (di = 0; di < sc->dc; di++)
if (sc->dominoes[di].nplacements > 1)
return 2;
return 1;
}
/* ----------------------------------------------------------------------
* End of solver code.
*/
static char *new_game_desc(const game_params *params, random_state *rs,
char **aux, bool interactive)
{
int n = params->n, w = n+2, h = n+1, wh = w*h;
int *grid, *grid2, *list;
struct solver_scratch *sc;
int i, j, k, len;
char *ret;
/*
* Allocate space in which to lay the grid out.
*/
grid = snewn(wh, int);
grid2 = snewn(wh, int);
list = snewn(2*wh, int);
sc = solver_make_scratch(n);
/*
* I haven't been able to think of any particularly clever
* techniques for generating instances of Dominosa with a
* unique solution. Many of the deductions used in this puzzle
* are based on information involving half the grid at a time
* (`of all the 6s, exactly one is next to a 3'), so a strategy
* of partially solving the grid and then perturbing the place
* where the solver got stuck seems particularly likely to
* accidentally destroy the information which the solver had
* used in getting that far. (Contrast with, say, Mines, in
* which most deductions are local so this is an excellent
* strategy.)
*
* Therefore I resort to the basest of brute force methods:
* generate a random grid, see if it's solvable, throw it away
* and try again if not. My only concession to sophistication
* and cleverness is to at least _try_ not to generate obvious
* 2x2 ambiguous sections (see comment below in the domino-
* flipping section).
*
* During tests performed on 2005-07-15, I found that the brute
* force approach without that tweak had to throw away about 87
* grids on average (at the default n=6) before finding a
* unique one, or a staggering 379 at n=9; good job the
* generator and solver are fast! When I added the
* ambiguous-section avoidance, those numbers came down to 19
* and 26 respectively, which is a lot more sensible.
*/
do {
domino_layout_prealloc(w, h, rs, grid, grid2, list);
/*
* Now we have a complete layout covering the whole
* rectangle with dominoes. So shuffle the actual domino
* values and fill the rectangle with numbers.
*/
k = 0;
for (i = 0; i <= params->n; i++)
for (j = 0; j <= i; j++) {
list[k++] = i;
list[k++] = j;
}
shuffle(list, k/2, 2*sizeof(*list), rs);
j = 0;
for (i = 0; i < wh; i++)
if (grid[i] > i) {
/* Optionally flip the domino round. */
int flip = -1;
if (params->diff != DIFF_AMBIGUOUS) {
int t1, t2;
/*
* If we're after a unique solution, we can do
* something here to improve the chances. If
* we're placing a domino so that it forms a
* 2x2 rectangle with one we've already placed,
* and if that domino and this one share a
* number, we can try not to put them so that
* the identical numbers are diagonally
* separated, because that automatically causes
* non-uniqueness:
*
* +---+ +-+-+
* |2 3| |2|3|
* +---+ -> | | |
* |4 2| |4|2|
* +---+ +-+-+
*/
t1 = i;
t2 = grid[i];
if (t2 == t1 + w) { /* this domino is vertical */
if (t1 % w > 0 &&/* and not on the left hand edge */
grid[t1-1] == t2-1 &&/* alongside one to left */
(grid2[t1-1] == list[j] || /* and has a number */
grid2[t1-1] == list[j+1] || /* in common */
grid2[t2-1] == list[j] ||
grid2[t2-1] == list[j+1])) {
if (grid2[t1-1] == list[j] ||
grid2[t2-1] == list[j+1])
flip = 0;
else
flip = 1;
}
} else { /* this domino is horizontal */
if (t1 / w > 0 &&/* and not on the top edge */
grid[t1-w] == t2-w &&/* alongside one above */
(grid2[t1-w] == list[j] || /* and has a number */
grid2[t1-w] == list[j+1] || /* in common */
grid2[t2-w] == list[j] ||
grid2[t2-w] == list[j+1])) {
if (grid2[t1-w] == list[j] ||
grid2[t2-w] == list[j+1])
flip = 0;
else
flip = 1;
}
}
}
if (flip < 0)
flip = random_upto(rs, 2);
grid2[i] = list[j + flip];
grid2[grid[i]] = list[j + 1 - flip];
j += 2;
}
assert(j == k);
solver_setup_grid(sc, grid2);
} while (params->diff != DIFF_AMBIGUOUS &&
(run_solver(sc, params->diff) > 1 ||
sc->max_diff_used < params->diff));
solver_free_scratch(sc);
#ifdef GENERATION_DIAGNOSTICS
for (j = 0; j < h; j++) {
for (i = 0; i < w; i++) {
putchar('0' + grid2[j*w+i]);
}
putchar('\n');
}
putchar('\n');
#endif
/*
* Encode the resulting game state.
*
* Our encoding is a string of digits. Any number greater than
* 9 is represented by a decimal integer within square
* brackets. We know there are n+2 of every number (it's paired
* with each number from 0 to n inclusive, and one of those is
* itself so that adds another occurrence), so we can work out
* the string length in advance.
*/
/*
* To work out the total length of the decimal encodings of all
* the numbers from 0 to n inclusive:
* - every number has a units digit; total is n+1.
* - all numbers above 9 have a tens digit; total is max(n+1-10,0).
* - all numbers above 99 have a hundreds digit; total is max(n+1-100,0).
* - and so on.
*/
len = n+1;
for (i = 10; i <= n; i *= 10)
len += max(n + 1 - i, 0);
/* Now add two square brackets for each number above 9. */
len += 2 * max(n + 1 - 10, 0);
/* And multiply by n+2 for the repeated occurrences of each number. */
len *= n+2;
/*
* Now actually encode the string.
*/
ret = snewn(len+1, char);
j = 0;
for (i = 0; i < wh; i++) {
k = grid2[i];
if (k < 10)
ret[j++] = '0' + k;
else
j += sprintf(ret+j, "[%d]", k);
assert(j <= len);
}
assert(j == len);
ret[j] = '\0';
/*
* Encode the solved state as an aux_info.
*/
{
char *auxinfo = snewn(wh+1, char);
for (i = 0; i < wh; i++) {
int v = grid[i];
auxinfo[i] = (v == i+1 ? 'L' : v == i-1 ? 'R' :
v == i+w ? 'T' : v == i-w ? 'B' : '.');
}
auxinfo[wh] = '\0';
*aux = auxinfo;
}
sfree(list);
sfree(grid2);
sfree(grid);
return ret;
}
static const char *validate_desc(const game_params *params, const char *desc)
{
int n = params->n, w = n+2, h = n+1, wh = w*h;
int *occurrences;
int i, j;
const char *ret;
ret = NULL;
occurrences = snewn(n+1, int);
for (i = 0; i <= n; i++)
occurrences[i] = 0;
for (i = 0; i < wh; i++) {
if (!*desc) {
ret = ret ? ret : "Game description is too short";
} else {
if (*desc >= '0' && *desc <= '9')
j = *desc++ - '0';
else if (*desc == '[') {
desc++;
j = atoi(desc);
while (*desc && isdigit((unsigned char)*desc)) desc++;
if (*desc != ']')
ret = ret ? ret : "Missing ']' in game description";
else
desc++;
} else {
j = -1;
ret = ret ? ret : "Invalid syntax in game description";
}
if (j < 0 || j > n)
ret = ret ? ret : "Number out of range in game description";
else
occurrences[j]++;
}
}
if (*desc)
ret = ret ? ret : "Game description is too long";
if (!ret) {
for (i = 0; i <= n; i++)
if (occurrences[i] != n+2)
ret = "Incorrect number balance in game description";
}
sfree(occurrences);
return ret;
}
static game_state *new_game(midend *me, const game_params *params,
const char *desc)
{
int n = params->n, w = n+2, h = n+1, wh = w*h;
game_state *state = snew(game_state);
int i, j;
state->params = *params;
state->w = w;
state->h = h;
state->grid = snewn(wh, int);
for (i = 0; i < wh; i++)
state->grid[i] = i;
state->edges = snewn(wh, unsigned short);
for (i = 0; i < wh; i++)
state->edges[i] = 0;
state->numbers = snew(struct game_numbers);
state->numbers->refcount = 1;
state->numbers->numbers = snewn(wh, int);
for (i = 0; i < wh; i++) {
assert(*desc);
if (*desc >= '0' && *desc <= '9')
j = *desc++ - '0';
else {
assert(*desc == '[');
desc++;
j = atoi(desc);
while (*desc && isdigit((unsigned char)*desc)) desc++;
assert(*desc == ']');
desc++;
}
assert(j >= 0 && j <= n);
state->numbers->numbers[i] = j;
}
state->completed = false;
state->cheated = false;
return state;
}
static game_state *dup_game(const game_state *state)
{
int n = state->params.n, w = n+2, h = n+1, wh = w*h;
game_state *ret = snew(game_state);
ret->params = state->params;
ret->w = state->w;
ret->h = state->h;
ret->grid = snewn(wh, int);
memcpy(ret->grid, state->grid, wh * sizeof(int));
ret->edges = snewn(wh, unsigned short);
memcpy(ret->edges, state->edges, wh * sizeof(unsigned short));
ret->numbers = state->numbers;
ret->numbers->refcount++;
ret->completed = state->completed;
ret->cheated = state->cheated;
return ret;
}
static void free_game(game_state *state)
{
sfree(state->grid);
sfree(state->edges);
if (--state->numbers->refcount <= 0) {
sfree(state->numbers->numbers);
sfree(state->numbers);
}
sfree(state);
}
static char *solution_move_string(struct solver_scratch *sc)
{
char *ret;
int retlen, retsize;
int i, pass;
/*
* First make a pass putting in edges for -1, then make a pass
* putting in dominoes for +1.
*/
retsize = 256;
ret = snewn(retsize, char);
retlen = sprintf(ret, "S");
for (pass = 0; pass < 2; pass++) {
char type = "ED"[pass];
for (i = 0; i < sc->pc; i++) {
struct solver_placement *p = &sc->placements[i];
char buf[80];
int extra;
if (pass == 0) {
/* Emit a barrier if this placement is ruled out for
* the domino. */
if (p->active)
continue;
} else {
/* Emit a domino if this placement is the only one not
* ruled out. */
if (!p->active || p->domino->nplacements > 1)
continue;
}
extra = sprintf(buf, ";%c%d,%d", type,
p->squares[0]->index, p->squares[1]->index);
if (retlen + extra + 1 >= retsize) {
retsize = retlen + extra + 256;
ret = sresize(ret, retsize, char);
}
strcpy(ret + retlen, buf);
retlen += extra;
}
}
return ret;
}
static char *solve_game(const game_state *state, const game_state *currstate,
const char *aux, const char **error)
{
int n = state->params.n, w = n+2, h = n+1, wh = w*h;
char *ret;
int retlen, retsize;
int i;
char buf[80];
int extra;
if (aux) {
retsize = 256;
ret = snewn(retsize, char);
retlen = sprintf(ret, "S");
for (i = 0; i < wh; i++) {
if (aux[i] == 'L')
extra = sprintf(buf, ";D%d,%d", i, i+1);
else if (aux[i] == 'T')
extra = sprintf(buf, ";D%d,%d", i, i+w);
else
continue;
if (retlen + extra + 1 >= retsize) {
retsize = retlen + extra + 256;
ret = sresize(ret, retsize, char);
}
strcpy(ret + retlen, buf);
retlen += extra;
}
} else {
struct solver_scratch *sc = solver_make_scratch(n);
solver_setup_grid(sc, state->numbers->numbers);
run_solver(sc, DIFFCOUNT);
ret = solution_move_string(sc);
solver_free_scratch(sc);
}
return ret;
}
static bool game_can_format_as_text_now(const game_params *params)
{
return params->n < 1000;
}
static void draw_domino(char *board, int start, char corner,
int dshort, int nshort, char cshort,
int dlong, int nlong, char clong)
{
int go_short = nshort*dshort, go_long = nlong*dlong, i;
board[start] = corner;
board[start + go_short] = corner;
board[start + go_long] = corner;
board[start + go_short + go_long] = corner;
for (i = 1; i < nshort; ++i) {
int j = start + i*dshort, k = start + i*dshort + go_long;
if (board[j] != corner) board[j] = cshort;
if (board[k] != corner) board[k] = cshort;
}
for (i = 1; i < nlong; ++i) {
int j = start + i*dlong, k = start + i*dlong + go_short;
if (board[j] != corner) board[j] = clong;
if (board[k] != corner) board[k] = clong;
}
}
static char *game_text_format(const game_state *state)
{
int w = state->w, h = state->h, r, c;
int cw = 4, ch = 2, gw = cw*w + 2, gh = ch * h + 1, len = gw * gh;
char *board = snewn(len + 1, char);
memset(board, ' ', len);
for (r = 0; r < h; ++r) {
for (c = 0; c < w; ++c) {
int cell = r*ch*gw + cw*c, center = cell + gw*ch/2 + cw/2;
int i = r*w + c, num = state->numbers->numbers[i];
if (num < 100) {
board[center] = '0' + num % 10;
if (num >= 10) board[center - 1] = '0' + num / 10;
} else {
board[center+1] = '0' + num % 10;
board[center] = '0' + num / 10 % 10;
board[center-1] = '0' + num / 100;
}
if (state->edges[i] & EDGE_L) board[center - cw/2] = '|';
if (state->edges[i] & EDGE_R) board[center + cw/2] = '|';
if (state->edges[i] & EDGE_T) board[center - gw] = '-';
if (state->edges[i] & EDGE_B) board[center + gw] = '-';
if (state->grid[i] == i) continue; /* no domino pairing */
if (state->grid[i] < i) continue; /* already done */
assert (state->grid[i] == i + 1 || state->grid[i] == i + w);
if (state->grid[i] == i + 1)
draw_domino(board, cell, '+', gw, ch, '|', +1, 2*cw, '-');
else if (state->grid[i] == i + w)
draw_domino(board, cell, '+', +1, cw, '-', gw, 2*ch, '|');
}
board[r*ch*gw + gw - 1] = '\n';
board[r*ch*gw + gw + gw - 1] = '\n';
}
board[len - 1] = '\n';
board[len] = '\0';
return board;
}
struct game_ui {
int cur_x, cur_y, highlight_1, highlight_2;
bool cur_visible;
};
static game_ui *new_ui(const game_state *state)
{
game_ui *ui = snew(game_ui);
ui->cur_x = ui->cur_y = 0;
ui->cur_visible = false;
ui->highlight_1 = ui->highlight_2 = -1;
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)
{
if (!oldstate->completed && newstate->completed)
ui->cur_visible = false;
}
#define PREFERRED_TILESIZE 32
#define TILESIZE (ds->tilesize)
#define BORDER (TILESIZE * 3 / 4)
#define DOMINO_GUTTER (TILESIZE / 16)
#define DOMINO_RADIUS (TILESIZE / 8)
#define DOMINO_COFFSET (DOMINO_GUTTER + DOMINO_RADIUS)
#define CURSOR_RADIUS (TILESIZE / 4)
#define COORD(x) ( (x) * TILESIZE + BORDER )
#define FROMCOORD(x) ( ((x) - BORDER + TILESIZE) / TILESIZE - 1 )
struct game_drawstate {
bool started;
int w, h, tilesize;
unsigned long *visible;
};
static char *interpret_move(const game_state *state, game_ui *ui,
const game_drawstate *ds,
int x, int y, int button)
{
int w = state->w, h = state->h;
char buf[80];
/*
* A left-click between two numbers toggles a domino covering
* them. A right-click toggles an edge.
*/
if (button == LEFT_BUTTON || button == RIGHT_BUTTON) {
int tx = FROMCOORD(x), ty = FROMCOORD(y), t = ty*w+tx;
int dx, dy;
int d1, d2;
if (tx < 0 || tx >= w || ty < 0 || ty >= h)
return NULL;
/*
* Now we know which square the click was in, decide which
* edge of the square it was closest to.
*/
dx = 2 * (x - COORD(tx)) - TILESIZE;
dy = 2 * (y - COORD(ty)) - TILESIZE;
if (abs(dx) > abs(dy) && dx < 0 && tx > 0)
d1 = t - 1, d2 = t; /* clicked in right side of domino */
else if (abs(dx) > abs(dy) && dx > 0 && tx+1 < w)
d1 = t, d2 = t + 1; /* clicked in left side of domino */
else if (abs(dy) > abs(dx) && dy < 0 && ty > 0)
d1 = t - w, d2 = t; /* clicked in bottom half of domino */
else if (abs(dy) > abs(dx) && dy > 0 && ty+1 < h)
d1 = t, d2 = t + w; /* clicked in top half of domino */
else
return NULL;
/*
* We can't mark an edge next to any domino.
*/
if (button == RIGHT_BUTTON &&
(state->grid[d1] != d1 || state->grid[d2] != d2))
return NULL;
ui->cur_visible = false;
sprintf(buf, "%c%d,%d", (int)(button == RIGHT_BUTTON ? 'E' : 'D'), d1, d2);
return dupstr(buf);
} else if (IS_CURSOR_MOVE(button)) {
ui->cur_visible = true;
move_cursor(button, &ui->cur_x, &ui->cur_y, 2*w-1, 2*h-1, false);
return UI_UPDATE;
} else if (IS_CURSOR_SELECT(button)) {
int d1, d2;
if (!((ui->cur_x ^ ui->cur_y) & 1))
return NULL; /* must have exactly one dimension odd */
d1 = (ui->cur_y / 2) * w + (ui->cur_x / 2);
d2 = ((ui->cur_y+1) / 2) * w + ((ui->cur_x+1) / 2);
/*
* We can't mark an edge next to any domino.
*/
if (button == CURSOR_SELECT2 &&
(state->grid[d1] != d1 || state->grid[d2] != d2))
return NULL;
sprintf(buf, "%c%d,%d", (int)(button == CURSOR_SELECT2 ? 'E' : 'D'), d1, d2);
return dupstr(buf);
} else if (isdigit(button)) {
int n = state->params.n, num = button - '0';
if (num > n) {
return NULL;
} else if (ui->highlight_1 == num) {
ui->highlight_1 = -1;
} else if (ui->highlight_2 == num) {
ui->highlight_2 = -1;
} else if (ui->highlight_1 == -1) {
ui->highlight_1 = num;
} else if (ui->highlight_2 == -1) {
ui->highlight_2 = num;
} else {
return NULL;
}
return UI_UPDATE;
}
return NULL;
}
static game_state *execute_move(const game_state *state, const char *move)
{
int n = state->params.n, w = n+2, h = n+1, wh = w*h;
int d1, d2, d3, p;
game_state *ret = dup_game(state);
while (*move) {
if (move[0] == 'S') {
int i;
ret->cheated = true;
/*
* Clear the existing edges and domino placements. We
* expect the S to be followed by other commands.
*/
for (i = 0; i < wh; i++) {
ret->grid[i] = i;
ret->edges[i] = 0;
}
move++;
} else if (move[0] == 'D' &&
sscanf(move+1, "%d,%d%n", &d1, &d2, &p) == 2 &&
d1 >= 0 && d1 < wh && d2 >= 0 && d2 < wh && d1 < d2) {
/*
* Toggle domino presence between d1 and d2.
*/
if (ret->grid[d1] == d2) {
assert(ret->grid[d2] == d1);
ret->grid[d1] = d1;
ret->grid[d2] = d2;
} else {
/*
* Erase any dominoes that might overlap the new one.
*/
d3 = ret->grid[d1];
if (d3 != d1)
ret->grid[d3] = d3;
d3 = ret->grid[d2];
if (d3 != d2)
ret->grid[d3] = d3;
/*
* Place the new one.
*/
ret->grid[d1] = d2;
ret->grid[d2] = d1;
/*
* Destroy any edges lurking around it.
*/
if (ret->edges[d1] & EDGE_L) {
assert(d1 - 1 >= 0);
ret->edges[d1 - 1] &= ~EDGE_R;
}
if (ret->edges[d1] & EDGE_R) {
assert(d1 + 1 < wh);
ret->edges[d1 + 1] &= ~EDGE_L;
}
if (ret->edges[d1] & EDGE_T) {
assert(d1 - w >= 0);
ret->edges[d1 - w] &= ~EDGE_B;
}
if (ret->edges[d1] & EDGE_B) {
assert(d1 + 1 < wh);
ret->edges[d1 + w] &= ~EDGE_T;
}
ret->edges[d1] = 0;
if (ret->edges[d2] & EDGE_L) {
assert(d2 - 1 >= 0);
ret->edges[d2 - 1] &= ~EDGE_R;
}
if (ret->edges[d2] & EDGE_R) {
assert(d2 + 1 < wh);
ret->edges[d2 + 1] &= ~EDGE_L;
}
if (ret->edges[d2] & EDGE_T) {
assert(d2 - w >= 0);
ret->edges[d2 - w] &= ~EDGE_B;
}
if (ret->edges[d2] & EDGE_B) {
assert(d2 + 1 < wh);
ret->edges[d2 + w] &= ~EDGE_T;
}
ret->edges[d2] = 0;
}
move += p+1;
} else if (move[0] == 'E' &&
sscanf(move+1, "%d,%d%n", &d1, &d2, &p) == 2 &&
d1 >= 0 && d1 < wh && d2 >= 0 && d2 < wh && d1 < d2 &&
ret->grid[d1] == d1 && ret->grid[d2] == d2) {
/*
* Toggle edge presence between d1 and d2.
*/
if (d2 == d1 + 1) {
ret->edges[d1] ^= EDGE_R;
ret->edges[d2] ^= EDGE_L;
} else {
ret->edges[d1] ^= EDGE_B;
ret->edges[d2] ^= EDGE_T;
}
move += p+1;
} else {
free_game(ret);
return NULL;
}
if (*move) {
if (*move != ';') {
free_game(ret);
return NULL;
}
move++;
}
}
/*
* After modifying the grid, check completion.
*/
if (!ret->completed) {
int i, ok = 0;
bool *used = snewn(TRI(n+1), bool);
memset(used, 0, TRI(n+1));
for (i = 0; i < wh; i++)
if (ret->grid[i] > i) {
int n1, n2, di;
n1 = ret->numbers->numbers[i];
n2 = ret->numbers->numbers[ret->grid[i]];
di = DINDEX(n1, n2);
assert(di >= 0 && di < TRI(n+1));
if (!used[di]) {
used[di] = true;
ok++;
}
}
sfree(used);
if (ok == DCOUNT(n))
ret->completed = true;
}
return ret;
}
/* ----------------------------------------------------------------------
* Drawing routines.
*/
static void game_compute_size(const game_params *params, int tilesize,
int *x, int *y)
{
int n = params->n, w = n+2, h = n+1;
/* Ick: fake up `ds->tilesize' for macro expansion purposes */
struct { int tilesize; } ads, *ds = &ads;
ads.tilesize = tilesize;
*x = w * TILESIZE + 2*BORDER;
*y = h * TILESIZE + 2*BORDER;
}
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_TEXT * 3 + 0] = 0.0F;
ret[COL_TEXT * 3 + 1] = 0.0F;
ret[COL_TEXT * 3 + 2] = 0.0F;
ret[COL_DOMINO * 3 + 0] = 0.0F;
ret[COL_DOMINO * 3 + 1] = 0.0F;
ret[COL_DOMINO * 3 + 2] = 0.0F;
ret[COL_DOMINOCLASH * 3 + 0] = 0.5F;
ret[COL_DOMINOCLASH * 3 + 1] = 0.0F;
ret[COL_DOMINOCLASH * 3 + 2] = 0.0F;
ret[COL_DOMINOTEXT * 3 + 0] = 1.0F;
ret[COL_DOMINOTEXT * 3 + 1] = 1.0F;
ret[COL_DOMINOTEXT * 3 + 2] = 1.0F;
ret[COL_EDGE * 3 + 0] = ret[COL_BACKGROUND * 3 + 0] * 2 / 3;
ret[COL_EDGE * 3 + 1] = ret[COL_BACKGROUND * 3 + 1] * 2 / 3;
ret[COL_EDGE * 3 + 2] = ret[COL_BACKGROUND * 3 + 2] * 2 / 3;
ret[COL_HIGHLIGHT_1 * 3 + 0] = 0.85;
ret[COL_HIGHLIGHT_1 * 3 + 1] = 0.20;
ret[COL_HIGHLIGHT_1 * 3 + 2] = 0.20;
ret[COL_HIGHLIGHT_2 * 3 + 0] = 0.30;
ret[COL_HIGHLIGHT_2 * 3 + 1] = 0.85;
ret[COL_HIGHLIGHT_2 * 3 + 2] = 0.20;
*ncolours = NCOLOURS;
return ret;
}
static game_drawstate *game_new_drawstate(drawing *dr, const game_state *state)
{
struct game_drawstate *ds = snew(struct game_drawstate);
int i;
ds->started = false;
ds->w = state->w;
ds->h = state->h;
ds->visible = snewn(ds->w * ds->h, unsigned long);
ds->tilesize = 0; /* not decided yet */
for (i = 0; i < ds->w * ds->h; i++)
ds->visible[i] = 0xFFFF;
return ds;
}
static void game_free_drawstate(drawing *dr, game_drawstate *ds)
{
sfree(ds->visible);
sfree(ds);
}
enum {
TYPE_L,
TYPE_R,
TYPE_T,
TYPE_B,
TYPE_BLANK,
TYPE_MASK = 0x0F
};
/* These flags must be disjoint with:
* the above enum (TYPE_*) [0x000 -- 0x00F]
* EDGE_* [0x100 -- 0xF00]
* and must fit into an unsigned long (32 bits).
*/
#define DF_HIGHLIGHT_1 0x10
#define DF_HIGHLIGHT_2 0x20
#define DF_FLASH 0x40
#define DF_CLASH 0x80
#define DF_CURSOR 0x01000
#define DF_CURSOR_USEFUL 0x02000
#define DF_CURSOR_XBASE 0x10000
#define DF_CURSOR_XMASK 0x30000
#define DF_CURSOR_YBASE 0x40000
#define DF_CURSOR_YMASK 0xC0000
#define CEDGE_OFF (TILESIZE / 8)
#define IS_EMPTY(s,x,y) ((s)->grid[(y)*(s)->w+(x)] == ((y)*(s)->w+(x)))
static void draw_tile(drawing *dr, game_drawstate *ds, const game_state *state,
int x, int y, int type, int highlight_1, int highlight_2)
{
int w = state->w /*, h = state->h */;
int cx = COORD(x), cy = COORD(y);
int nc;
char str[80];
int flags;
clip(dr, cx, cy, TILESIZE, TILESIZE);
draw_rect(dr, cx, cy, TILESIZE, TILESIZE, COL_BACKGROUND);
flags = type &~ TYPE_MASK;
type &= TYPE_MASK;
if (type != TYPE_BLANK) {
int i, bg;
/*
* Draw one end of a domino. This is composed of:
*
* - two filled circles (rounded corners)
* - two rectangles
* - a slight shift in the number
*/
if (flags & DF_CLASH)
bg = COL_DOMINOCLASH;
else
bg = COL_DOMINO;
nc = COL_DOMINOTEXT;
if (flags & DF_FLASH) {
int tmp = nc;
nc = bg;
bg = tmp;
}
if (type == TYPE_L || type == TYPE_T)
draw_circle(dr, cx+DOMINO_COFFSET, cy+DOMINO_COFFSET,
DOMINO_RADIUS, bg, bg);
if (type == TYPE_R || type == TYPE_T)
draw_circle(dr, cx+TILESIZE-1-DOMINO_COFFSET, cy+DOMINO_COFFSET,
DOMINO_RADIUS, bg, bg);
if (type == TYPE_L || type == TYPE_B)
draw_circle(dr, cx+DOMINO_COFFSET, cy+TILESIZE-1-DOMINO_COFFSET,
DOMINO_RADIUS, bg, bg);
if (type == TYPE_R || type == TYPE_B)
draw_circle(dr, cx+TILESIZE-1-DOMINO_COFFSET,
cy+TILESIZE-1-DOMINO_COFFSET,
DOMINO_RADIUS, bg, bg);
for (i = 0; i < 2; i++) {
int x1, y1, x2, y2;
x1 = cx + (i ? DOMINO_GUTTER : DOMINO_COFFSET);
y1 = cy + (i ? DOMINO_COFFSET : DOMINO_GUTTER);
x2 = cx + TILESIZE-1 - (i ? DOMINO_GUTTER : DOMINO_COFFSET);
y2 = cy + TILESIZE-1 - (i ? DOMINO_COFFSET : DOMINO_GUTTER);
if (type == TYPE_L)
x2 = cx + TILESIZE + TILESIZE/16;
else if (type == TYPE_R)
x1 = cx - TILESIZE/16;
else if (type == TYPE_T)
y2 = cy + TILESIZE + TILESIZE/16;
else if (type == TYPE_B)
y1 = cy - TILESIZE/16;
draw_rect(dr, x1, y1, x2-x1+1, y2-y1+1, bg);
}
} else {
if (flags & EDGE_T)
draw_rect(dr, cx+DOMINO_GUTTER, cy,
TILESIZE-2*DOMINO_GUTTER, 1, COL_EDGE);
if (flags & EDGE_B)
draw_rect(dr, cx+DOMINO_GUTTER, cy+TILESIZE-1,
TILESIZE-2*DOMINO_GUTTER, 1, COL_EDGE);
if (flags & EDGE_L)
draw_rect(dr, cx, cy+DOMINO_GUTTER,
1, TILESIZE-2*DOMINO_GUTTER, COL_EDGE);
if (flags & EDGE_R)
draw_rect(dr, cx+TILESIZE-1, cy+DOMINO_GUTTER,
1, TILESIZE-2*DOMINO_GUTTER, COL_EDGE);
nc = COL_TEXT;
}
if (flags & DF_CURSOR) {
int curx = ((flags & DF_CURSOR_XMASK) / DF_CURSOR_XBASE) & 3;
int cury = ((flags & DF_CURSOR_YMASK) / DF_CURSOR_YBASE) & 3;
int ox = cx + curx*TILESIZE/2;
int oy = cy + cury*TILESIZE/2;
draw_rect_corners(dr, ox, oy, CURSOR_RADIUS, nc);
if (flags & DF_CURSOR_USEFUL)
draw_rect_corners(dr, ox, oy, CURSOR_RADIUS+1, nc);
}
if (flags & DF_HIGHLIGHT_1) {
nc = COL_HIGHLIGHT_1;
} else if (flags & DF_HIGHLIGHT_2) {
nc = COL_HIGHLIGHT_2;
}
sprintf(str, "%d", state->numbers->numbers[y*w+x]);
draw_text(dr, cx+TILESIZE/2, cy+TILESIZE/2, FONT_VARIABLE, TILESIZE/2,
ALIGN_HCENTRE | ALIGN_VCENTRE, nc, str);
draw_update(dr, cx, cy, TILESIZE, TILESIZE);
unclip(dr);
}
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 n = state->params.n, w = state->w, h = state->h, wh = w*h;
int x, y, i;
unsigned char *used;
if (!ds->started) {
int pw, ph;
game_compute_size(&state->params, TILESIZE, &pw, &ph);
draw_rect(dr, 0, 0, pw, ph, COL_BACKGROUND);
draw_update(dr, 0, 0, pw, ph);
ds->started = true;
}
/*
* See how many dominoes of each type there are, so we can
* highlight clashes in red.
*/
used = snewn(TRI(n+1), unsigned char);
memset(used, 0, TRI(n+1));
for (i = 0; i < wh; i++)
if (state->grid[i] > i) {
int n1, n2, di;
n1 = state->numbers->numbers[i];
n2 = state->numbers->numbers[state->grid[i]];
di = DINDEX(n1, n2);
assert(di >= 0 && di < TRI(n+1));
if (used[di] < 2)
used[di]++;
}
for (y = 0; y < h; y++)
for (x = 0; x < w; x++) {
int n = y*w+x;
int n1, n2, di;
unsigned long c;
if (state->grid[n] == n-1)
c = TYPE_R;
else if (state->grid[n] == n+1)
c = TYPE_L;
else if (state->grid[n] == n-w)
c = TYPE_B;
else if (state->grid[n] == n+w)
c = TYPE_T;
else
c = TYPE_BLANK;
n1 = state->numbers->numbers[n];
if (c != TYPE_BLANK) {
n2 = state->numbers->numbers[state->grid[n]];
di = DINDEX(n1, n2);
if (used[di] > 1)
c |= DF_CLASH; /* highlight a clash */
} else {
c |= state->edges[n];
}
if (n1 == ui->highlight_1)
c |= DF_HIGHLIGHT_1;
if (n1 == ui->highlight_2)
c |= DF_HIGHLIGHT_2;
if (flashtime != 0)
c |= DF_FLASH; /* we're flashing */
if (ui->cur_visible) {
unsigned curx = (unsigned)(ui->cur_x - (2*x-1));
unsigned cury = (unsigned)(ui->cur_y - (2*y-1));
if (curx < 3 && cury < 3) {
c |= (DF_CURSOR |
(curx * DF_CURSOR_XBASE) |
(cury * DF_CURSOR_YBASE));
if ((ui->cur_x ^ ui->cur_y) & 1)
c |= DF_CURSOR_USEFUL;
}
}
if (ds->visible[n] != c) {
draw_tile(dr, ds, state, x, y, c,
ui->highlight_1, ui->highlight_2);
ds->visible[n] = c;
}
}
sfree(used);
}
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)
{
ui->highlight_1 = ui->highlight_2 = -1;
return FLASH_TIME;
}
return 0.0F;
}
static int game_status(const game_state *state)
{
return state->completed ? +1 : 0;
}
static bool game_timing_state(const game_state *state, game_ui *ui)
{
return true;
}
static void game_print_size(const game_params *params, float *x, float *y)
{
int pw, ph;
/*
* I'll use 6mm squares by default.
*/
game_compute_size(params, 600, &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->w, h = state->h;
int c, x, y;
/* Ick: fake up `ds->tilesize' for macro expansion purposes */
game_drawstate ads, *ds = &ads;
game_set_size(dr, ds, NULL, tilesize);
c = print_mono_colour(dr, 1); assert(c == COL_BACKGROUND);
c = print_mono_colour(dr, 0); assert(c == COL_TEXT);
c = print_mono_colour(dr, 0); assert(c == COL_DOMINO);
c = print_mono_colour(dr, 0); assert(c == COL_DOMINOCLASH);
c = print_mono_colour(dr, 1); assert(c == COL_DOMINOTEXT);
c = print_mono_colour(dr, 0); assert(c == COL_EDGE);
for (y = 0; y < h; y++)
for (x = 0; x < w; x++) {
int n = y*w+x;
unsigned long c;
if (state->grid[n] == n-1)
c = TYPE_R;
else if (state->grid[n] == n+1)
c = TYPE_L;
else if (state->grid[n] == n-w)
c = TYPE_B;
else if (state->grid[n] == n+w)
c = TYPE_T;
else
c = TYPE_BLANK;
draw_tile(dr, ds, state, x, y, c, -1, -1);
}
}
#ifdef COMBINED
#define thegame dominosa
#endif
const struct game thegame = {
"Dominosa", "games.dominosa", "dominosa",
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,
NULL, /* game_request_keys */
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,
0, /* flags */
};
#ifdef STANDALONE_SOLVER
int main(int argc, char **argv)
{
game_params *p;
game_state *s, *s2;
char *id = NULL, *desc;
const char *err;
bool grade = false, diagnostics = false;
struct solver_scratch *sc;
int retd;
while (--argc > 0) {
char *p = *++argv;
if (!strcmp(p, "-v")) {
diagnostics = 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 [-v | -g] <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);
solver_diagnostics = diagnostics;
sc = solver_make_scratch(p->n);
solver_setup_grid(sc, s->numbers->numbers);
retd = run_solver(sc, DIFFCOUNT);
if (retd == 0) {
printf("Puzzle is inconsistent\n");
} else if (grade) {
printf("Difficulty rating: %s\n",
dominosa_diffnames[sc->max_diff_used]);
} else {
char *move, *text;
move = solution_move_string(sc);
s2 = execute_move(s, move);
text = game_text_format(s2);
sfree(move);
fputs(text, stdout);
sfree(text);
free_game(s2);
if (retd > 1)
printf("Could not deduce a unique solution\n");
}
solver_free_scratch(sc);
free_game(s);
free_params(p);
return 0;
}
#endif
/* vim: set shiftwidth=4 :set textwidth=80: */
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