1
by Ben Hutchings
Import upstream version 6452 |
1 |
/*
|
2 |
* solo.c: the number-placing puzzle most popularly known as `Sudoku'.
|
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3 |
*
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4 |
* TODO:
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5 |
*
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6 |
* - reports from users are that `Trivial'-mode puzzles are still
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7 |
* rather hard compared to newspapers' easy ones, so some better
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8 |
* low-end difficulty grading would be nice
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9 |
* + it's possible that really easy puzzles always have
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10 |
* _several_ things you can do, so don't make you hunt too
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11 |
* hard for the one deduction you can currently make
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12 |
* + it's also possible that easy puzzles require fewer
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13 |
* cross-eliminations: perhaps there's a higher incidence of
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14 |
* things you can deduce by looking only at (say) rows,
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15 |
* rather than things you have to check both rows and columns
|
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16 |
* for
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17 |
* + but really, what I need to do is find some really easy
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18 |
* puzzles and _play_ them, to see what's actually easy about
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19 |
* them
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20 |
* + while I'm revamping this area, filling in the _last_
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21 |
* number in a nearly-full row or column should certainly be
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22 |
* permitted even at the lowest difficulty level.
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23 |
* + also Owen noticed that `Basic' grids requiring numeric
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24 |
* elimination are actually very hard, so I wonder if a
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25 |
* difficulty gradation between that and positional-
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26 |
* elimination-only might be in order
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27 |
* + but it's not good to have _too_ many difficulty levels, or
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28 |
* it'll take too long to randomly generate a given level.
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29 |
*
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30 |
* - it might still be nice to do some prioritisation on the
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31 |
* removal of numbers from the grid
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32 |
* + one possibility is to try to minimise the maximum number
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33 |
* of filled squares in any block, which in particular ought
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34 |
* to enforce never leaving a completely filled block in the
|
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35 |
* puzzle as presented.
|
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36 |
*
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37 |
* - alternative interface modes
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38 |
* + sudoku.com's Windows program has a palette of possible
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39 |
* entries; you select a palette entry first and then click
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40 |
* on the square you want it to go in, thus enabling
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41 |
* mouse-only play. Useful for PDAs! I don't think it's
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42 |
* actually incompatible with the current highlight-then-type
|
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43 |
* approach: you _either_ highlight a palette entry and then
|
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44 |
* click, _or_ you highlight a square and then type. At most
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45 |
* one thing is ever highlighted at a time, so there's no way
|
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46 |
* to confuse the two.
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47 |
* + then again, I don't actually like sudoku.com's interface;
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48 |
* it's too much like a paint package whereas I prefer to
|
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49 |
* think of Solo as a text editor.
|
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50 |
* + another PDA-friendly possibility is a drag interface:
|
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51 |
* _drag_ numbers from the palette into the grid squares.
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52 |
* Thought experiments suggest I'd prefer that to the
|
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53 |
* sudoku.com approach, but I haven't actually tried it.
|
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54 |
*/
|
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55 |
||
56 |
/*
|
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57 |
* Solo puzzles need to be square overall (since each row and each
|
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58 |
* column must contain one of every digit), but they need not be
|
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59 |
* subdivided the same way internally. I am going to adopt a
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60 |
* convention whereby I _always_ refer to `r' as the number of rows
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61 |
* of _big_ divisions, and `c' as the number of columns of _big_
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62 |
* divisions. Thus, a 2c by 3r puzzle looks something like this:
|
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63 |
*
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64 |
* 4 5 1 | 2 6 3
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65 |
* 6 3 2 | 5 4 1
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66 |
* ------+------ (Of course, you can't subdivide it the other way
|
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67 |
* 1 4 5 | 6 3 2 or you'll get clashes; observe that the 4 in the
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68 |
* 3 2 6 | 4 1 5 top left would conflict with the 4 in the second
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69 |
* ------+------ box down on the left-hand side.)
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70 |
* 5 1 4 | 3 2 6
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71 |
* 2 6 3 | 1 5 4
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72 |
*
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73 |
* The need for a strong naming convention should now be clear:
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74 |
* each small box is two rows of digits by three columns, while the
|
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75 |
* overall puzzle has three rows of small boxes by two columns. So
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76 |
* I will (hopefully) consistently use `r' to denote the number of
|
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77 |
* rows _of small boxes_ (here 3), which is also the number of
|
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78 |
* columns of digits in each small box; and `c' vice versa (here
|
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79 |
* 2).
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80 |
*
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81 |
* I'm also going to choose arbitrarily to list c first wherever
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82 |
* possible: the above is a 2x3 puzzle, not a 3x2 one.
|
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83 |
*/
|
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84 |
||
85 |
#include <stdio.h> |
|
86 |
#include <stdlib.h> |
|
87 |
#include <string.h> |
|
88 |
#include <assert.h> |
|
89 |
#include <ctype.h> |
|
90 |
#include <math.h> |
|
91 |
||
92 |
#ifdef STANDALONE_SOLVER
|
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93 |
#include <stdarg.h> |
|
94 |
int solver_show_working, solver_recurse_depth; |
|
95 |
#endif
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96 |
||
97 |
#include "puzzles.h" |
|
98 |
||
99 |
/*
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100 |
* To save space, I store digits internally as unsigned char. This
|
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101 |
* imposes a hard limit of 255 on the order of the puzzle. Since
|
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102 |
* even a 5x5 takes unacceptably long to generate, I don't see this
|
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103 |
* as a serious limitation unless something _really_ impressive
|
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104 |
* happens in computing technology; but here's a typedef anyway for
|
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105 |
* general good practice.
|
|
106 |
*/
|
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107 |
typedef unsigned char digit; |
|
108 |
#define ORDER_MAX 255
|
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109 |
||
110 |
#define PREFERRED_TILE_SIZE 32
|
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111 |
#define TILE_SIZE (ds->tilesize)
|
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112 |
#define BORDER (TILE_SIZE / 2)
|
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1.2.2
by Ben Hutchings
Import upstream version 7983 |
113 |
#define GRIDEXTRA (TILE_SIZE / 32)
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1
by Ben Hutchings
Import upstream version 6452 |
114 |
|
115 |
#define FLASH_TIME 0.4F
|
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116 |
||
117 |
enum { SYMM_NONE, SYMM_ROT2, SYMM_ROT4, SYMM_REF2, SYMM_REF2D, SYMM_REF4, |
|
118 |
SYMM_REF4D, SYMM_REF8 }; |
|
119 |
||
120 |
enum { DIFF_BLOCK, DIFF_SIMPLE, DIFF_INTERSECT, DIFF_SET, DIFF_EXTREME, |
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121 |
DIFF_RECURSIVE, DIFF_AMBIGUOUS, DIFF_IMPOSSIBLE }; |
|
122 |
||
123 |
enum { |
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124 |
COL_BACKGROUND, |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
125 |
COL_XDIAGONALS, |
1
by Ben Hutchings
Import upstream version 6452 |
126 |
COL_GRID, |
127 |
COL_CLUE, |
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128 |
COL_USER, |
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129 |
COL_HIGHLIGHT, |
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130 |
COL_ERROR, |
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131 |
COL_PENCIL, |
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132 |
NCOLOURS
|
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133 |
};
|
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134 |
||
135 |
struct game_params { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
136 |
/*
|
137 |
* For a square puzzle, `c' and `r' indicate the puzzle
|
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138 |
* parameters as described above.
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139 |
*
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140 |
* A jigsaw-style puzzle is indicated by r==1, in which case c
|
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141 |
* can be whatever it likes (there is no constraint on
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142 |
* compositeness - a 7x7 jigsaw sudoku makes perfect sense).
|
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143 |
*/
|
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1
by Ben Hutchings
Import upstream version 6452 |
144 |
int c, r, symm, diff; |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
145 |
int xtype; /* require all digits in X-diagonals */ |
146 |
};
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147 |
||
148 |
struct block_structure { |
|
149 |
int refcount; |
|
150 |
||
151 |
/*
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152 |
* For text formatting, we do need c and r here.
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153 |
*/
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154 |
int c, r; |
|
155 |
||
156 |
/*
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157 |
* For any square index, whichblock[i] gives its block index.
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158 |
*
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159 |
* For 0 <= b,i < cr, blocks[b][i] gives the index of the ith
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160 |
* square in block b.
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161 |
*
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162 |
* whichblock and blocks are each dynamically allocated in
|
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163 |
* their own right, but the subarrays in blocks are appended
|
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164 |
* to the whichblock array, so shouldn't be freed
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165 |
* individually.
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166 |
*/
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167 |
int *whichblock, **blocks; |
|
168 |
||
169 |
#ifdef STANDALONE_SOLVER
|
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170 |
/*
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171 |
* Textual descriptions of each block. For normal Sudoku these
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172 |
* are of the form "(1,3)"; for jigsaw they are "starting at
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173 |
* (5,7)". So the sensible usage in both cases is to say
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174 |
* "elimination within block %s" with one of these strings.
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175 |
*
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176 |
* Only blocknames itself needs individually freeing; it's all
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177 |
* one block.
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178 |
*/
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179 |
char **blocknames; |
|
180 |
#endif
|
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1
by Ben Hutchings
Import upstream version 6452 |
181 |
};
|
182 |
||
183 |
struct game_state { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
184 |
/*
|
185 |
* For historical reasons, I use `cr' to denote the overall
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186 |
* width/height of the puzzle. It was a natural notation when
|
|
187 |
* all puzzles were divided into blocks in a grid, but doesn't
|
|
188 |
* really make much sense given jigsaw puzzles. However, the
|
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189 |
* obvious `n' is heavily used in the solver to describe the
|
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190 |
* index of a number being placed, so `cr' will have to stay.
|
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191 |
*/
|
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192 |
int cr; |
|
193 |
struct block_structure *blocks; |
|
194 |
int xtype; |
|
1
by Ben Hutchings
Import upstream version 6452 |
195 |
digit *grid; |
196 |
unsigned char *pencil; /* c*r*c*r elements */ |
|
197 |
unsigned char *immutable; /* marks which digits are clues */ |
|
198 |
int completed, cheated; |
|
199 |
};
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200 |
||
201 |
static game_params *default_params(void) |
|
202 |
{
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203 |
game_params *ret = snew(game_params); |
|
204 |
||
205 |
ret->c = ret->r = 3; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
206 |
ret->xtype = FALSE; |
1
by Ben Hutchings
Import upstream version 6452 |
207 |
ret->symm = SYMM_ROT2; /* a plausible default */ |
208 |
ret->diff = DIFF_BLOCK; /* so is this */ |
|
209 |
||
210 |
return ret; |
|
211 |
}
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212 |
||
213 |
static void free_params(game_params *params) |
|
214 |
{
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215 |
sfree(params); |
|
216 |
}
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217 |
||
218 |
static game_params *dup_params(game_params *params) |
|
219 |
{
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220 |
game_params *ret = snew(game_params); |
|
221 |
*ret = *params; /* structure copy */ |
|
222 |
return ret; |
|
223 |
}
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224 |
||
225 |
static int game_fetch_preset(int i, char **name, game_params **params) |
|
226 |
{
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227 |
static struct { |
|
228 |
char *title; |
|
229 |
game_params params; |
|
230 |
} presets[] = { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
231 |
{ "2x2 Trivial", { 2, 2, SYMM_ROT2, DIFF_BLOCK, FALSE } }, |
232 |
{ "2x3 Basic", { 2, 3, SYMM_ROT2, DIFF_SIMPLE, FALSE } }, |
|
233 |
{ "3x3 Trivial", { 3, 3, SYMM_ROT2, DIFF_BLOCK, FALSE } }, |
|
234 |
{ "3x3 Basic", { 3, 3, SYMM_ROT2, DIFF_SIMPLE, FALSE } }, |
|
235 |
{ "3x3 Basic X", { 3, 3, SYMM_ROT2, DIFF_SIMPLE, TRUE } }, |
|
236 |
{ "3x3 Intermediate", { 3, 3, SYMM_ROT2, DIFF_INTERSECT, FALSE } }, |
|
237 |
{ "3x3 Advanced", { 3, 3, SYMM_ROT2, DIFF_SET, FALSE } }, |
|
238 |
{ "3x3 Advanced X", { 3, 3, SYMM_ROT2, DIFF_SET, TRUE } }, |
|
239 |
{ "3x3 Extreme", { 3, 3, SYMM_ROT2, DIFF_EXTREME, FALSE } }, |
|
240 |
{ "3x3 Unreasonable", { 3, 3, SYMM_ROT2, DIFF_RECURSIVE, FALSE } }, |
|
241 |
{ "9 Jigsaw Basic", { 9, 1, SYMM_ROT2, DIFF_SIMPLE, FALSE } }, |
|
242 |
{ "9 Jigsaw Basic X", { 9, 1, SYMM_ROT2, DIFF_SIMPLE, TRUE } }, |
|
243 |
{ "9 Jigsaw Advanced", { 9, 1, SYMM_ROT2, DIFF_SET, FALSE } }, |
|
1
by Ben Hutchings
Import upstream version 6452 |
244 |
#ifndef SLOW_SYSTEM
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
245 |
{ "3x4 Basic", { 3, 4, SYMM_ROT2, DIFF_SIMPLE, FALSE } }, |
246 |
{ "4x4 Basic", { 4, 4, SYMM_ROT2, DIFF_SIMPLE, FALSE } }, |
|
1
by Ben Hutchings
Import upstream version 6452 |
247 |
#endif
|
248 |
};
|
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249 |
||
250 |
if (i < 0 || i >= lenof(presets)) |
|
251 |
return FALSE; |
|
252 |
||
253 |
*name = dupstr(presets[i].title); |
|
254 |
*params = dup_params(&presets[i].params); |
|
255 |
||
256 |
return TRUE; |
|
257 |
}
|
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258 |
||
259 |
static void decode_params(game_params *ret, char const *string) |
|
260 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
261 |
int seen_r = FALSE; |
262 |
||
1
by Ben Hutchings
Import upstream version 6452 |
263 |
ret->c = ret->r = atoi(string); |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
264 |
ret->xtype = FALSE; |
1
by Ben Hutchings
Import upstream version 6452 |
265 |
while (*string && isdigit((unsigned char)*string)) string++; |
266 |
if (*string == 'x') { |
|
267 |
string++; |
|
268 |
ret->r = atoi(string); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
269 |
seen_r = TRUE; |
1
by Ben Hutchings
Import upstream version 6452 |
270 |
while (*string && isdigit((unsigned char)*string)) string++; |
271 |
}
|
|
272 |
while (*string) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
273 |
if (*string == 'j') { |
274 |
string++; |
|
275 |
if (seen_r) |
|
276 |
ret->c *= ret->r; |
|
277 |
ret->r = 1; |
|
278 |
} else if (*string == 'x') { |
|
279 |
string++; |
|
280 |
ret->xtype = TRUE; |
|
281 |
} else if (*string == 'r' || *string == 'm' || *string == 'a') { |
|
1
by Ben Hutchings
Import upstream version 6452 |
282 |
int sn, sc, sd; |
283 |
sc = *string++; |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
284 |
if (sc == 'm' && *string == 'd') { |
1
by Ben Hutchings
Import upstream version 6452 |
285 |
sd = TRUE; |
286 |
string++; |
|
287 |
} else { |
|
288 |
sd = FALSE; |
|
289 |
}
|
|
290 |
sn = atoi(string); |
|
291 |
while (*string && isdigit((unsigned char)*string)) string++; |
|
292 |
if (sc == 'm' && sn == 8) |
|
293 |
ret->symm = SYMM_REF8; |
|
294 |
if (sc == 'm' && sn == 4) |
|
295 |
ret->symm = sd ? SYMM_REF4D : SYMM_REF4; |
|
296 |
if (sc == 'm' && sn == 2) |
|
297 |
ret->symm = sd ? SYMM_REF2D : SYMM_REF2; |
|
298 |
if (sc == 'r' && sn == 4) |
|
299 |
ret->symm = SYMM_ROT4; |
|
300 |
if (sc == 'r' && sn == 2) |
|
301 |
ret->symm = SYMM_ROT2; |
|
302 |
if (sc == 'a') |
|
303 |
ret->symm = SYMM_NONE; |
|
304 |
} else if (*string == 'd') { |
|
305 |
string++; |
|
306 |
if (*string == 't') /* trivial */ |
|
307 |
string++, ret->diff = DIFF_BLOCK; |
|
308 |
else if (*string == 'b') /* basic */ |
|
309 |
string++, ret->diff = DIFF_SIMPLE; |
|
310 |
else if (*string == 'i') /* intermediate */ |
|
311 |
string++, ret->diff = DIFF_INTERSECT; |
|
312 |
else if (*string == 'a') /* advanced */ |
|
313 |
string++, ret->diff = DIFF_SET; |
|
314 |
else if (*string == 'e') /* extreme */ |
|
315 |
string++, ret->diff = DIFF_EXTREME; |
|
316 |
else if (*string == 'u') /* unreasonable */ |
|
317 |
string++, ret->diff = DIFF_RECURSIVE; |
|
318 |
} else |
|
319 |
string++; /* eat unknown character */ |
|
320 |
}
|
|
321 |
}
|
|
322 |
||
323 |
static char *encode_params(game_params *params, int full) |
|
324 |
{
|
|
325 |
char str[80]; |
|
326 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
327 |
if (params->r > 1) |
328 |
sprintf(str, "%dx%d", params->c, params->r); |
|
329 |
else
|
|
330 |
sprintf(str, "%dj", params->c); |
|
331 |
if (params->xtype) |
|
332 |
strcat(str, "x"); |
|
333 |
||
1
by Ben Hutchings
Import upstream version 6452 |
334 |
if (full) { |
335 |
switch (params->symm) { |
|
336 |
case SYMM_REF8: strcat(str, "m8"); break; |
|
337 |
case SYMM_REF4: strcat(str, "m4"); break; |
|
338 |
case SYMM_REF4D: strcat(str, "md4"); break; |
|
339 |
case SYMM_REF2: strcat(str, "m2"); break; |
|
340 |
case SYMM_REF2D: strcat(str, "md2"); break; |
|
341 |
case SYMM_ROT4: strcat(str, "r4"); break; |
|
342 |
/* case SYMM_ROT2: strcat(str, "r2"); break; [default] */
|
|
343 |
case SYMM_NONE: strcat(str, "a"); break; |
|
344 |
}
|
|
345 |
switch (params->diff) { |
|
346 |
/* case DIFF_BLOCK: strcat(str, "dt"); break; [default] */
|
|
347 |
case DIFF_SIMPLE: strcat(str, "db"); break; |
|
348 |
case DIFF_INTERSECT: strcat(str, "di"); break; |
|
349 |
case DIFF_SET: strcat(str, "da"); break; |
|
350 |
case DIFF_EXTREME: strcat(str, "de"); break; |
|
351 |
case DIFF_RECURSIVE: strcat(str, "du"); break; |
|
352 |
}
|
|
353 |
}
|
|
354 |
return dupstr(str); |
|
355 |
}
|
|
356 |
||
357 |
static config_item *game_configure(game_params *params) |
|
358 |
{
|
|
359 |
config_item *ret; |
|
360 |
char buf[80]; |
|
361 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
362 |
ret = snewn(7, config_item); |
1
by Ben Hutchings
Import upstream version 6452 |
363 |
|
364 |
ret[0].name = "Columns of sub-blocks"; |
|
365 |
ret[0].type = C_STRING; |
|
366 |
sprintf(buf, "%d", params->c); |
|
367 |
ret[0].sval = dupstr(buf); |
|
368 |
ret[0].ival = 0; |
|
369 |
||
370 |
ret[1].name = "Rows of sub-blocks"; |
|
371 |
ret[1].type = C_STRING; |
|
372 |
sprintf(buf, "%d", params->r); |
|
373 |
ret[1].sval = dupstr(buf); |
|
374 |
ret[1].ival = 0; |
|
375 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
376 |
ret[2].name = "\"X\" (require every number in each main diagonal)"; |
377 |
ret[2].type = C_BOOLEAN; |
|
378 |
ret[2].sval = NULL; |
|
379 |
ret[2].ival = params->xtype; |
|
380 |
||
381 |
ret[3].name = "Jigsaw (irregularly shaped sub-blocks)"; |
|
382 |
ret[3].type = C_BOOLEAN; |
|
383 |
ret[3].sval = NULL; |
|
384 |
ret[3].ival = (params->r == 1); |
|
385 |
||
386 |
ret[4].name = "Symmetry"; |
|
387 |
ret[4].type = C_CHOICES; |
|
388 |
ret[4].sval = ":None:2-way rotation:4-way rotation:2-way mirror:" |
|
1
by Ben Hutchings
Import upstream version 6452 |
389 |
"2-way diagonal mirror:4-way mirror:4-way diagonal mirror:"
|
390 |
"8-way mirror"; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
391 |
ret[4].ival = params->symm; |
392 |
||
393 |
ret[5].name = "Difficulty"; |
|
394 |
ret[5].type = C_CHOICES; |
|
395 |
ret[5].sval = ":Trivial:Basic:Intermediate:Advanced:Extreme:Unreasonable"; |
|
396 |
ret[5].ival = params->diff; |
|
397 |
||
398 |
ret[6].name = NULL; |
|
399 |
ret[6].type = C_END; |
|
400 |
ret[6].sval = NULL; |
|
401 |
ret[6].ival = 0; |
|
1
by Ben Hutchings
Import upstream version 6452 |
402 |
|
403 |
return ret; |
|
404 |
}
|
|
405 |
||
406 |
static game_params *custom_params(config_item *cfg) |
|
407 |
{
|
|
408 |
game_params *ret = snew(game_params); |
|
409 |
||
410 |
ret->c = atoi(cfg[0].sval); |
|
411 |
ret->r = atoi(cfg[1].sval); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
412 |
ret->xtype = cfg[2].ival; |
413 |
if (cfg[3].ival) { |
|
414 |
ret->c *= ret->r; |
|
415 |
ret->r = 1; |
|
416 |
}
|
|
417 |
ret->symm = cfg[4].ival; |
|
418 |
ret->diff = cfg[5].ival; |
|
1
by Ben Hutchings
Import upstream version 6452 |
419 |
|
420 |
return ret; |
|
421 |
}
|
|
422 |
||
423 |
static char *validate_params(game_params *params, int full) |
|
424 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
425 |
if (params->c < 2) |
1
by Ben Hutchings
Import upstream version 6452 |
426 |
return "Both dimensions must be at least 2"; |
427 |
if (params->c > ORDER_MAX || params->r > ORDER_MAX) |
|
428 |
return "Dimensions greater than "STR(ORDER_MAX)" are not supported"; |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
429 |
if ((params->c * params->r) > 35) |
430 |
return "Unable to support more than 35 distinct symbols in a puzzle"; |
|
1
by Ben Hutchings
Import upstream version 6452 |
431 |
return NULL; |
432 |
}
|
|
433 |
||
434 |
/* ----------------------------------------------------------------------
|
|
435 |
* Solver.
|
|
436 |
*
|
|
437 |
* This solver is used for two purposes:
|
|
438 |
* + to check solubility of a grid as we gradually remove numbers
|
|
439 |
* from it
|
|
440 |
* + to solve an externally generated puzzle when the user selects
|
|
441 |
* `Solve'.
|
|
442 |
*
|
|
443 |
* It supports a variety of specific modes of reasoning. By
|
|
444 |
* enabling or disabling subsets of these modes we can arrange a
|
|
445 |
* range of difficulty levels.
|
|
446 |
*/
|
|
447 |
||
448 |
/*
|
|
449 |
* Modes of reasoning currently supported:
|
|
450 |
*
|
|
451 |
* - Positional elimination: a number must go in a particular
|
|
452 |
* square because all the other empty squares in a given
|
|
453 |
* row/col/blk are ruled out.
|
|
454 |
*
|
|
455 |
* - Numeric elimination: a square must have a particular number
|
|
456 |
* in because all the other numbers that could go in it are
|
|
457 |
* ruled out.
|
|
458 |
*
|
|
459 |
* - Intersectional analysis: given two domains which overlap
|
|
460 |
* (hence one must be a block, and the other can be a row or
|
|
461 |
* col), if the possible locations for a particular number in
|
|
462 |
* one of the domains can be narrowed down to the overlap, then
|
|
463 |
* that number can be ruled out everywhere but the overlap in
|
|
464 |
* the other domain too.
|
|
465 |
*
|
|
466 |
* - Set elimination: if there is a subset of the empty squares
|
|
467 |
* within a domain such that the union of the possible numbers
|
|
468 |
* in that subset has the same size as the subset itself, then
|
|
469 |
* those numbers can be ruled out everywhere else in the domain.
|
|
470 |
* (For example, if there are five empty squares and the
|
|
471 |
* possible numbers in each are 12, 23, 13, 134 and 1345, then
|
|
472 |
* the first three empty squares form such a subset: the numbers
|
|
473 |
* 1, 2 and 3 _must_ be in those three squares in some
|
|
474 |
* permutation, and hence we can deduce none of them can be in
|
|
475 |
* the fourth or fifth squares.)
|
|
476 |
* + You can also see this the other way round, concentrating
|
|
477 |
* on numbers rather than squares: if there is a subset of
|
|
478 |
* the unplaced numbers within a domain such that the union
|
|
479 |
* of all their possible positions has the same size as the
|
|
480 |
* subset itself, then all other numbers can be ruled out for
|
|
481 |
* those positions. However, it turns out that this is
|
|
482 |
* exactly equivalent to the first formulation at all times:
|
|
483 |
* there is a 1-1 correspondence between suitable subsets of
|
|
484 |
* the unplaced numbers and suitable subsets of the unfilled
|
|
485 |
* places, found by taking the _complement_ of the union of
|
|
486 |
* the numbers' possible positions (or the spaces' possible
|
|
487 |
* contents).
|
|
488 |
*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
489 |
* - Forcing chains (see comment for solver_forcing().)
|
1
by Ben Hutchings
Import upstream version 6452 |
490 |
*
|
491 |
* - Recursion. If all else fails, we pick one of the currently
|
|
492 |
* most constrained empty squares and take a random guess at its
|
|
493 |
* contents, then continue solving on that basis and see if we
|
|
494 |
* get any further.
|
|
495 |
*/
|
|
496 |
||
497 |
struct solver_usage { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
498 |
int cr; |
499 |
struct block_structure *blocks; |
|
1
by Ben Hutchings
Import upstream version 6452 |
500 |
/*
|
501 |
* We set up a cubic array, indexed by x, y and digit; each
|
|
502 |
* element of this array is TRUE or FALSE according to whether
|
|
503 |
* or not that digit _could_ in principle go in that position.
|
|
504 |
*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
505 |
* The way to index this array is cube[(y*cr+x)*cr+n-1]; there
|
506 |
* are macros below to help with this.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
507 |
*/
|
508 |
unsigned char *cube; |
|
509 |
/*
|
|
510 |
* This is the grid in which we write down our final
|
|
511 |
* deductions. y-coordinates in here are _not_ transformed.
|
|
512 |
*/
|
|
513 |
digit *grid; |
|
514 |
/*
|
|
515 |
* Now we keep track, at a slightly higher level, of what we
|
|
516 |
* have yet to work out, to prevent doing the same deduction
|
|
517 |
* many times.
|
|
518 |
*/
|
|
519 |
/* row[y*cr+n-1] TRUE if digit n has been placed in row y */
|
|
520 |
unsigned char *row; |
|
521 |
/* col[x*cr+n-1] TRUE if digit n has been placed in row x */
|
|
522 |
unsigned char *col; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
523 |
/* blk[i*cr+n-1] TRUE if digit n has been placed in block i */
|
1
by Ben Hutchings
Import upstream version 6452 |
524 |
unsigned char *blk; |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
525 |
/* diag[i*cr+n-1] TRUE if digit n has been placed in diagonal i */
|
526 |
unsigned char *diag; /* diag 0 is \, 1 is / */ |
|
1
by Ben Hutchings
Import upstream version 6452 |
527 |
};
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
528 |
#define cubepos2(xy,n) ((xy)*usage->cr+(n)-1)
|
529 |
#define cubepos(x,y,n) cubepos2((y)*usage->cr+(x),n)
|
|
1
by Ben Hutchings
Import upstream version 6452 |
530 |
#define cube(x,y,n) (usage->cube[cubepos(x,y,n)])
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
531 |
#define cube2(xy,n) (usage->cube[cubepos2(xy,n)])
|
532 |
||
533 |
#define ondiag0(xy) ((xy) % (cr+1) == 0)
|
|
534 |
#define ondiag1(xy) ((xy) % (cr-1) == 0 && (xy) > 0 && (xy) < cr*cr-1)
|
|
535 |
#define diag0(i) ((i) * (cr+1))
|
|
536 |
#define diag1(i) ((i+1) * (cr-1))
|
|
1
by Ben Hutchings
Import upstream version 6452 |
537 |
|
538 |
/*
|
|
539 |
* Function called when we are certain that a particular square has
|
|
540 |
* a particular number in it. The y-coordinate passed in here is
|
|
541 |
* transformed.
|
|
542 |
*/
|
|
543 |
static void solver_place(struct solver_usage *usage, int x, int y, int n) |
|
544 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
545 |
int cr = usage->cr; |
546 |
int sqindex = y*cr+x; |
|
547 |
int i, bi; |
|
1
by Ben Hutchings
Import upstream version 6452 |
548 |
|
549 |
assert(cube(x,y,n)); |
|
550 |
||
551 |
/*
|
|
552 |
* Rule out all other numbers in this square.
|
|
553 |
*/
|
|
554 |
for (i = 1; i <= cr; i++) |
|
555 |
if (i != n) |
|
556 |
cube(x,y,i) = FALSE; |
|
557 |
||
558 |
/*
|
|
559 |
* Rule out this number in all other positions in the row.
|
|
560 |
*/
|
|
561 |
for (i = 0; i < cr; i++) |
|
562 |
if (i != y) |
|
563 |
cube(x,i,n) = FALSE; |
|
564 |
||
565 |
/*
|
|
566 |
* Rule out this number in all other positions in the column.
|
|
567 |
*/
|
|
568 |
for (i = 0; i < cr; i++) |
|
569 |
if (i != x) |
|
570 |
cube(i,y,n) = FALSE; |
|
571 |
||
572 |
/*
|
|
573 |
* Rule out this number in all other positions in the block.
|
|
574 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
575 |
bi = usage->blocks->whichblock[sqindex]; |
576 |
for (i = 0; i < cr; i++) { |
|
577 |
int bp = usage->blocks->blocks[bi][i]; |
|
578 |
if (bp != sqindex) |
|
579 |
cube2(bp,n) = FALSE; |
|
580 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
581 |
|
582 |
/*
|
|
583 |
* Enter the number in the result grid.
|
|
584 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
585 |
usage->grid[sqindex] = n; |
1
by Ben Hutchings
Import upstream version 6452 |
586 |
|
587 |
/*
|
|
588 |
* Cross out this number from the list of numbers left to place
|
|
589 |
* in its row, its column and its block.
|
|
590 |
*/
|
|
591 |
usage->row[y*cr+n-1] = usage->col[x*cr+n-1] = |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
592 |
usage->blk[bi*cr+n-1] = TRUE; |
593 |
||
594 |
if (usage->diag) { |
|
595 |
if (ondiag0(sqindex)) { |
|
596 |
for (i = 0; i < cr; i++) |
|
597 |
if (diag0(i) != sqindex) |
|
598 |
cube2(diag0(i),n) = FALSE; |
|
599 |
usage->diag[n-1] = TRUE; |
|
600 |
}
|
|
601 |
if (ondiag1(sqindex)) { |
|
602 |
for (i = 0; i < cr; i++) |
|
603 |
if (diag1(i) != sqindex) |
|
604 |
cube2(diag1(i),n) = FALSE; |
|
605 |
usage->diag[cr+n-1] = TRUE; |
|
606 |
}
|
|
607 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
608 |
}
|
609 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
610 |
static int solver_elim(struct solver_usage *usage, int *indices |
1
by Ben Hutchings
Import upstream version 6452 |
611 |
#ifdef STANDALONE_SOLVER
|
612 |
, char *fmt, ... |
|
613 |
#endif
|
|
614 |
)
|
|
615 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
616 |
int cr = usage->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
617 |
int fpos, m, i; |
618 |
||
619 |
/*
|
|
620 |
* Count the number of set bits within this section of the
|
|
621 |
* cube.
|
|
622 |
*/
|
|
623 |
m = 0; |
|
624 |
fpos = -1; |
|
625 |
for (i = 0; i < cr; i++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
626 |
if (usage->cube[indices[i]]) { |
627 |
fpos = indices[i]; |
|
1
by Ben Hutchings
Import upstream version 6452 |
628 |
m++; |
629 |
}
|
|
630 |
||
631 |
if (m == 1) { |
|
632 |
int x, y, n; |
|
633 |
assert(fpos >= 0); |
|
634 |
||
635 |
n = 1 + fpos % cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
636 |
x = fpos / cr; |
637 |
y = x / cr; |
|
638 |
x %= cr; |
|
1
by Ben Hutchings
Import upstream version 6452 |
639 |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
640 |
if (!usage->grid[y*cr+x]) { |
1
by Ben Hutchings
Import upstream version 6452 |
641 |
#ifdef STANDALONE_SOLVER
|
642 |
if (solver_show_working) { |
|
643 |
va_list ap; |
|
644 |
printf("%*s", solver_recurse_depth*4, ""); |
|
645 |
va_start(ap, fmt); |
|
646 |
vprintf(fmt, ap); |
|
647 |
va_end(ap); |
|
648 |
printf(":\n%*s placing %d at (%d,%d)\n", |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
649 |
solver_recurse_depth*4, "", n, 1+x, 1+y); |
1
by Ben Hutchings
Import upstream version 6452 |
650 |
}
|
651 |
#endif
|
|
652 |
solver_place(usage, x, y, n); |
|
653 |
return +1; |
|
654 |
}
|
|
655 |
} else if (m == 0) { |
|
656 |
#ifdef STANDALONE_SOLVER
|
|
657 |
if (solver_show_working) { |
|
658 |
va_list ap; |
|
659 |
printf("%*s", solver_recurse_depth*4, ""); |
|
660 |
va_start(ap, fmt); |
|
661 |
vprintf(fmt, ap); |
|
662 |
va_end(ap); |
|
663 |
printf(":\n%*s no possibilities available\n", |
|
664 |
solver_recurse_depth*4, ""); |
|
665 |
}
|
|
666 |
#endif
|
|
667 |
return -1; |
|
668 |
}
|
|
669 |
||
670 |
return 0; |
|
671 |
}
|
|
672 |
||
673 |
static int solver_intersect(struct solver_usage *usage, |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
674 |
int *indices1, int *indices2 |
1
by Ben Hutchings
Import upstream version 6452 |
675 |
#ifdef STANDALONE_SOLVER
|
676 |
, char *fmt, ... |
|
677 |
#endif
|
|
678 |
)
|
|
679 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
680 |
int cr = usage->cr; |
681 |
int ret, i, j; |
|
1
by Ben Hutchings
Import upstream version 6452 |
682 |
|
683 |
/*
|
|
684 |
* Loop over the first domain and see if there's any set bit
|
|
685 |
* not also in the second.
|
|
686 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
687 |
for (i = j = 0; i < cr; i++) { |
688 |
int p = indices1[i]; |
|
689 |
while (j < cr && indices2[j] < p) |
|
690 |
j++; |
|
691 |
if (usage->cube[p]) { |
|
692 |
if (j < cr && indices2[j] == p) |
|
693 |
continue; /* both domains contain this index */ |
|
694 |
else
|
|
695 |
return 0; /* there is, so we can't deduce */ |
|
696 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
697 |
}
|
698 |
||
699 |
/*
|
|
700 |
* We have determined that all set bits in the first domain are
|
|
701 |
* within its overlap with the second. So loop over the second
|
|
702 |
* domain and remove all set bits that aren't also in that
|
|
703 |
* overlap; return +1 iff we actually _did_ anything.
|
|
704 |
*/
|
|
705 |
ret = 0; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
706 |
for (i = j = 0; i < cr; i++) { |
707 |
int p = indices2[i]; |
|
708 |
while (j < cr && indices1[j] < p) |
|
709 |
j++; |
|
710 |
if (usage->cube[p] && (j >= cr || indices1[j] != p)) { |
|
1
by Ben Hutchings
Import upstream version 6452 |
711 |
#ifdef STANDALONE_SOLVER
|
712 |
if (solver_show_working) { |
|
713 |
int px, py, pn; |
|
714 |
||
715 |
if (!ret) { |
|
716 |
va_list ap; |
|
717 |
printf("%*s", solver_recurse_depth*4, ""); |
|
718 |
va_start(ap, fmt); |
|
719 |
vprintf(fmt, ap); |
|
720 |
va_end(ap); |
|
721 |
printf(":\n"); |
|
722 |
}
|
|
723 |
||
724 |
pn = 1 + p % cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
725 |
px = p / cr; |
726 |
py = px / cr; |
|
727 |
px %= cr; |
|
1
by Ben Hutchings
Import upstream version 6452 |
728 |
|
729 |
printf("%*s ruling out %d at (%d,%d)\n", |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
730 |
solver_recurse_depth*4, "", pn, 1+px, 1+py); |
1
by Ben Hutchings
Import upstream version 6452 |
731 |
}
|
732 |
#endif
|
|
733 |
ret = +1; /* we did something */ |
|
734 |
usage->cube[p] = 0; |
|
735 |
}
|
|
736 |
}
|
|
737 |
||
738 |
return ret; |
|
739 |
}
|
|
740 |
||
741 |
struct solver_scratch { |
|
742 |
unsigned char *grid, *rowidx, *colidx, *set; |
|
743 |
int *neighbours, *bfsqueue; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
744 |
int *indexlist, *indexlist2; |
1
by Ben Hutchings
Import upstream version 6452 |
745 |
#ifdef STANDALONE_SOLVER
|
746 |
int *bfsprev; |
|
747 |
#endif
|
|
748 |
};
|
|
749 |
||
750 |
static int solver_set(struct solver_usage *usage, |
|
751 |
struct solver_scratch *scratch, |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
752 |
int *indices |
1
by Ben Hutchings
Import upstream version 6452 |
753 |
#ifdef STANDALONE_SOLVER
|
754 |
, char *fmt, ... |
|
755 |
#endif
|
|
756 |
)
|
|
757 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
758 |
int cr = usage->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
759 |
int i, j, n, count; |
760 |
unsigned char *grid = scratch->grid; |
|
761 |
unsigned char *rowidx = scratch->rowidx; |
|
762 |
unsigned char *colidx = scratch->colidx; |
|
763 |
unsigned char *set = scratch->set; |
|
764 |
||
765 |
/*
|
|
766 |
* We are passed a cr-by-cr matrix of booleans. Our first job
|
|
767 |
* is to winnow it by finding any definite placements - i.e.
|
|
768 |
* any row with a solitary 1 - and discarding that row and the
|
|
769 |
* column containing the 1.
|
|
770 |
*/
|
|
771 |
memset(rowidx, TRUE, cr); |
|
772 |
memset(colidx, TRUE, cr); |
|
773 |
for (i = 0; i < cr; i++) { |
|
774 |
int count = 0, first = -1; |
|
775 |
for (j = 0; j < cr; j++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
776 |
if (usage->cube[indices[i*cr+j]]) |
1
by Ben Hutchings
Import upstream version 6452 |
777 |
first = j, count++; |
778 |
||
779 |
/*
|
|
780 |
* If count == 0, then there's a row with no 1s at all and
|
|
781 |
* the puzzle is internally inconsistent. However, we ought
|
|
782 |
* to have caught this already during the simpler reasoning
|
|
783 |
* methods, so we can safely fail an assertion if we reach
|
|
784 |
* this point here.
|
|
785 |
*/
|
|
786 |
assert(count > 0); |
|
787 |
if (count == 1) |
|
788 |
rowidx[i] = colidx[first] = FALSE; |
|
789 |
}
|
|
790 |
||
791 |
/*
|
|
792 |
* Convert each of rowidx/colidx from a list of 0s and 1s to a
|
|
793 |
* list of the indices of the 1s.
|
|
794 |
*/
|
|
795 |
for (i = j = 0; i < cr; i++) |
|
796 |
if (rowidx[i]) |
|
797 |
rowidx[j++] = i; |
|
798 |
n = j; |
|
799 |
for (i = j = 0; i < cr; i++) |
|
800 |
if (colidx[i]) |
|
801 |
colidx[j++] = i; |
|
802 |
assert(n == j); |
|
803 |
||
804 |
/*
|
|
805 |
* And create the smaller matrix.
|
|
806 |
*/
|
|
807 |
for (i = 0; i < n; i++) |
|
808 |
for (j = 0; j < n; j++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
809 |
grid[i*cr+j] = usage->cube[indices[rowidx[i]*cr+colidx[j]]]; |
1
by Ben Hutchings
Import upstream version 6452 |
810 |
|
811 |
/*
|
|
812 |
* Having done that, we now have a matrix in which every row
|
|
813 |
* has at least two 1s in. Now we search to see if we can find
|
|
814 |
* a rectangle of zeroes (in the set-theoretic sense of
|
|
815 |
* `rectangle', i.e. a subset of rows crossed with a subset of
|
|
816 |
* columns) whose width and height add up to n.
|
|
817 |
*/
|
|
818 |
||
819 |
memset(set, 0, n); |
|
820 |
count = 0; |
|
821 |
while (1) { |
|
822 |
/*
|
|
823 |
* We have a candidate set. If its size is <=1 or >=n-1
|
|
824 |
* then we move on immediately.
|
|
825 |
*/
|
|
826 |
if (count > 1 && count < n-1) { |
|
827 |
/*
|
|
828 |
* The number of rows we need is n-count. See if we can
|
|
829 |
* find that many rows which each have a zero in all
|
|
830 |
* the positions listed in `set'.
|
|
831 |
*/
|
|
832 |
int rows = 0; |
|
833 |
for (i = 0; i < n; i++) { |
|
834 |
int ok = TRUE; |
|
835 |
for (j = 0; j < n; j++) |
|
836 |
if (set[j] && grid[i*cr+j]) { |
|
837 |
ok = FALSE; |
|
838 |
break; |
|
839 |
}
|
|
840 |
if (ok) |
|
841 |
rows++; |
|
842 |
}
|
|
843 |
||
844 |
/*
|
|
845 |
* We expect never to be able to get _more_ than
|
|
846 |
* n-count suitable rows: this would imply that (for
|
|
847 |
* example) there are four numbers which between them
|
|
848 |
* have at most three possible positions, and hence it
|
|
849 |
* indicates a faulty deduction before this point or
|
|
850 |
* even a bogus clue.
|
|
851 |
*/
|
|
852 |
if (rows > n - count) { |
|
853 |
#ifdef STANDALONE_SOLVER
|
|
854 |
if (solver_show_working) { |
|
855 |
va_list ap; |
|
856 |
printf("%*s", solver_recurse_depth*4, |
|
857 |
""); |
|
858 |
va_start(ap, fmt); |
|
859 |
vprintf(fmt, ap); |
|
860 |
va_end(ap); |
|
861 |
printf(":\n%*s contradiction reached\n", |
|
862 |
solver_recurse_depth*4, ""); |
|
863 |
}
|
|
864 |
#endif
|
|
865 |
return -1; |
|
866 |
}
|
|
867 |
||
868 |
if (rows >= n - count) { |
|
869 |
int progress = FALSE; |
|
870 |
||
871 |
/*
|
|
872 |
* We've got one! Now, for each row which _doesn't_
|
|
873 |
* satisfy the criterion, eliminate all its set
|
|
874 |
* bits in the positions _not_ listed in `set'.
|
|
875 |
* Return +1 (meaning progress has been made) if we
|
|
876 |
* successfully eliminated anything at all.
|
|
877 |
*
|
|
878 |
* This involves referring back through
|
|
879 |
* rowidx/colidx in order to work out which actual
|
|
880 |
* positions in the cube to meddle with.
|
|
881 |
*/
|
|
882 |
for (i = 0; i < n; i++) { |
|
883 |
int ok = TRUE; |
|
884 |
for (j = 0; j < n; j++) |
|
885 |
if (set[j] && grid[i*cr+j]) { |
|
886 |
ok = FALSE; |
|
887 |
break; |
|
888 |
}
|
|
889 |
if (!ok) { |
|
890 |
for (j = 0; j < n; j++) |
|
891 |
if (!set[j] && grid[i*cr+j]) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
892 |
int fpos = indices[rowidx[i]*cr+colidx[j]]; |
1
by Ben Hutchings
Import upstream version 6452 |
893 |
#ifdef STANDALONE_SOLVER
|
894 |
if (solver_show_working) { |
|
895 |
int px, py, pn; |
|
896 |
||
897 |
if (!progress) { |
|
898 |
va_list ap; |
|
899 |
printf("%*s", solver_recurse_depth*4, |
|
900 |
""); |
|
901 |
va_start(ap, fmt); |
|
902 |
vprintf(fmt, ap); |
|
903 |
va_end(ap); |
|
904 |
printf(":\n"); |
|
905 |
}
|
|
906 |
||
907 |
pn = 1 + fpos % cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
908 |
px = fpos / cr; |
909 |
py = px / cr; |
|
910 |
px %= cr; |
|
1
by Ben Hutchings
Import upstream version 6452 |
911 |
|
912 |
printf("%*s ruling out %d at (%d,%d)\n", |
|
913 |
solver_recurse_depth*4, "", |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
914 |
pn, 1+px, 1+py); |
1
by Ben Hutchings
Import upstream version 6452 |
915 |
}
|
916 |
#endif
|
|
917 |
progress = TRUE; |
|
918 |
usage->cube[fpos] = FALSE; |
|
919 |
}
|
|
920 |
}
|
|
921 |
}
|
|
922 |
||
923 |
if (progress) { |
|
924 |
return +1; |
|
925 |
}
|
|
926 |
}
|
|
927 |
}
|
|
928 |
||
929 |
/*
|
|
930 |
* Binary increment: change the rightmost 0 to a 1, and
|
|
931 |
* change all 1s to the right of it to 0s.
|
|
932 |
*/
|
|
933 |
i = n; |
|
934 |
while (i > 0 && set[i-1]) |
|
935 |
set[--i] = 0, count--; |
|
936 |
if (i > 0) |
|
937 |
set[--i] = 1, count++; |
|
938 |
else
|
|
939 |
break; /* done */ |
|
940 |
}
|
|
941 |
||
942 |
return 0; |
|
943 |
}
|
|
944 |
||
945 |
/*
|
|
946 |
* Look for forcing chains. A forcing chain is a path of
|
|
947 |
* pairwise-exclusive squares (i.e. each pair of adjacent squares
|
|
948 |
* in the path are in the same row, column or block) with the
|
|
949 |
* following properties:
|
|
950 |
*
|
|
951 |
* (a) Each square on the path has precisely two possible numbers.
|
|
952 |
*
|
|
953 |
* (b) Each pair of squares which are adjacent on the path share
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
954 |
* at least one possible number in common.
|
1
by Ben Hutchings
Import upstream version 6452 |
955 |
*
|
956 |
* (c) Each square in the middle of the path shares _both_ of its
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
957 |
* numbers with at least one of its neighbours (not the same
|
958 |
* one with both neighbours).
|
|
1
by Ben Hutchings
Import upstream version 6452 |
959 |
*
|
960 |
* These together imply that at least one of the possible number
|
|
961 |
* choices at one end of the path forces _all_ the rest of the
|
|
962 |
* numbers along the path. In order to make real use of this, we
|
|
963 |
* need further properties:
|
|
964 |
*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
965 |
* (c) Ruling out some number N from the square at one end of the
|
966 |
* path forces the square at the other end to take the same
|
|
967 |
* number N.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
968 |
*
|
969 |
* (d) The two end squares are both in line with some third
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
970 |
* square.
|
1
by Ben Hutchings
Import upstream version 6452 |
971 |
*
|
972 |
* (e) That third square currently has N as a possibility.
|
|
973 |
*
|
|
974 |
* If we can find all of that lot, we can deduce that at least one
|
|
975 |
* of the two ends of the forcing chain has number N, and that
|
|
976 |
* therefore the mutually adjacent third square does not.
|
|
977 |
*
|
|
978 |
* To find forcing chains, we're going to start a bfs at each
|
|
979 |
* suitable square, once for each of its two possible numbers.
|
|
980 |
*/
|
|
981 |
static int solver_forcing(struct solver_usage *usage, |
|
982 |
struct solver_scratch *scratch) |
|
983 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
984 |
int cr = usage->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
985 |
int *bfsqueue = scratch->bfsqueue; |
986 |
#ifdef STANDALONE_SOLVER
|
|
987 |
int *bfsprev = scratch->bfsprev; |
|
988 |
#endif
|
|
989 |
unsigned char *number = scratch->grid; |
|
990 |
int *neighbours = scratch->neighbours; |
|
991 |
int x, y; |
|
992 |
||
993 |
for (y = 0; y < cr; y++) |
|
994 |
for (x = 0; x < cr; x++) { |
|
995 |
int count, t, n; |
|
996 |
||
997 |
/*
|
|
998 |
* If this square doesn't have exactly two candidate
|
|
999 |
* numbers, don't try it.
|
|
1000 |
*
|
|
1001 |
* In this loop we also sum the candidate numbers,
|
|
1002 |
* which is a nasty hack to allow us to quickly find
|
|
1003 |
* `the other one' (since we will shortly know there
|
|
1004 |
* are exactly two).
|
|
1005 |
*/
|
|
1006 |
for (count = t = 0, n = 1; n <= cr; n++) |
|
1007 |
if (cube(x, y, n)) |
|
1008 |
count++, t += n; |
|
1009 |
if (count != 2) |
|
1010 |
continue; |
|
1011 |
||
1012 |
/*
|
|
1013 |
* Now attempt a bfs for each candidate.
|
|
1014 |
*/
|
|
1015 |
for (n = 1; n <= cr; n++) |
|
1016 |
if (cube(x, y, n)) { |
|
1017 |
int orign, currn, head, tail; |
|
1018 |
||
1019 |
/*
|
|
1020 |
* Begin a bfs.
|
|
1021 |
*/
|
|
1022 |
orign = n; |
|
1023 |
||
1024 |
memset(number, cr+1, cr*cr); |
|
1025 |
head = tail = 0; |
|
1026 |
bfsqueue[tail++] = y*cr+x; |
|
1027 |
#ifdef STANDALONE_SOLVER
|
|
1028 |
bfsprev[y*cr+x] = -1; |
|
1029 |
#endif
|
|
1030 |
number[y*cr+x] = t - n; |
|
1031 |
||
1032 |
while (head < tail) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1033 |
int xx, yy, nneighbours, xt, yt, i; |
1
by Ben Hutchings
Import upstream version 6452 |
1034 |
|
1035 |
xx = bfsqueue[head++]; |
|
1036 |
yy = xx / cr; |
|
1037 |
xx %= cr; |
|
1038 |
||
1039 |
currn = number[yy*cr+xx]; |
|
1040 |
||
1041 |
/*
|
|
1042 |
* Find neighbours of yy,xx.
|
|
1043 |
*/
|
|
1044 |
nneighbours = 0; |
|
1045 |
for (yt = 0; yt < cr; yt++) |
|
1046 |
neighbours[nneighbours++] = yt*cr+xx; |
|
1047 |
for (xt = 0; xt < cr; xt++) |
|
1048 |
neighbours[nneighbours++] = yy*cr+xt; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1049 |
xt = usage->blocks->whichblock[yy*cr+xx]; |
1050 |
for (yt = 0; yt < cr; yt++) |
|
1051 |
neighbours[nneighbours++] = usage->blocks->blocks[xt][yt]; |
|
1052 |
if (usage->diag) { |
|
1053 |
int sqindex = yy*cr+xx; |
|
1054 |
if (ondiag0(sqindex)) { |
|
1055 |
for (i = 0; i < cr; i++) |
|
1056 |
neighbours[nneighbours++] = diag0(i); |
|
1057 |
}
|
|
1058 |
if (ondiag1(sqindex)) { |
|
1059 |
for (i = 0; i < cr; i++) |
|
1060 |
neighbours[nneighbours++] = diag1(i); |
|
1061 |
}
|
|
1062 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
1063 |
|
1064 |
/*
|
|
1065 |
* Try visiting each of those neighbours.
|
|
1066 |
*/
|
|
1067 |
for (i = 0; i < nneighbours; i++) { |
|
1068 |
int cc, tt, nn; |
|
1069 |
||
1070 |
xt = neighbours[i] % cr; |
|
1071 |
yt = neighbours[i] / cr; |
|
1072 |
||
1073 |
/*
|
|
1074 |
* We need this square to not be
|
|
1075 |
* already visited, and to include
|
|
1076 |
* currn as a possible number.
|
|
1077 |
*/
|
|
1078 |
if (number[yt*cr+xt] <= cr) |
|
1079 |
continue; |
|
1080 |
if (!cube(xt, yt, currn)) |
|
1081 |
continue; |
|
1082 |
||
1083 |
/*
|
|
1084 |
* Don't visit _this_ square a second
|
|
1085 |
* time!
|
|
1086 |
*/
|
|
1087 |
if (xt == xx && yt == yy) |
|
1088 |
continue; |
|
1089 |
||
1090 |
/*
|
|
1091 |
* To continue with the bfs, we need
|
|
1092 |
* this square to have exactly two
|
|
1093 |
* possible numbers.
|
|
1094 |
*/
|
|
1095 |
for (cc = tt = 0, nn = 1; nn <= cr; nn++) |
|
1096 |
if (cube(xt, yt, nn)) |
|
1097 |
cc++, tt += nn; |
|
1098 |
if (cc == 2) { |
|
1099 |
bfsqueue[tail++] = yt*cr+xt; |
|
1100 |
#ifdef STANDALONE_SOLVER
|
|
1101 |
bfsprev[yt*cr+xt] = yy*cr+xx; |
|
1102 |
#endif
|
|
1103 |
number[yt*cr+xt] = tt - currn; |
|
1104 |
}
|
|
1105 |
||
1106 |
/*
|
|
1107 |
* One other possibility is that this
|
|
1108 |
* might be the square in which we can
|
|
1109 |
* make a real deduction: if it's
|
|
1110 |
* adjacent to x,y, and currn is equal
|
|
1111 |
* to the original number we ruled out.
|
|
1112 |
*/
|
|
1113 |
if (currn == orign && |
|
1114 |
(xt == x || yt == y || |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1115 |
(usage->blocks->whichblock[yt*cr+xt] == usage->blocks->whichblock[y*cr+x]) || |
1116 |
(usage->diag && ((ondiag0(yt*cr+xt) && ondiag0(y*cr+x)) || |
|
1117 |
(ondiag1(yt*cr+xt) && ondiag1(y*cr+x)))))) { |
|
1
by Ben Hutchings
Import upstream version 6452 |
1118 |
#ifdef STANDALONE_SOLVER
|
1119 |
if (solver_show_working) { |
|
1120 |
char *sep = ""; |
|
1121 |
int xl, yl; |
|
1122 |
printf("%*sforcing chain, %d at ends of ", |
|
1123 |
solver_recurse_depth*4, "", orign); |
|
1124 |
xl = xx; |
|
1125 |
yl = yy; |
|
1126 |
while (1) { |
|
1127 |
printf("%s(%d,%d)", sep, 1+xl, |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1128 |
1+yl); |
1
by Ben Hutchings
Import upstream version 6452 |
1129 |
xl = bfsprev[yl*cr+xl]; |
1130 |
if (xl < 0) |
|
1131 |
break; |
|
1132 |
yl = xl / cr; |
|
1133 |
xl %= cr; |
|
1134 |
sep = "-"; |
|
1135 |
}
|
|
1136 |
printf("\n%*s ruling out %d at (%d,%d)\n", |
|
1137 |
solver_recurse_depth*4, "", |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1138 |
orign, 1+xt, 1+yt); |
1
by Ben Hutchings
Import upstream version 6452 |
1139 |
}
|
1140 |
#endif
|
|
1141 |
cube(xt, yt, orign) = FALSE; |
|
1142 |
return 1; |
|
1143 |
}
|
|
1144 |
}
|
|
1145 |
}
|
|
1146 |
}
|
|
1147 |
}
|
|
1148 |
||
1149 |
return 0; |
|
1150 |
}
|
|
1151 |
||
1152 |
static struct solver_scratch *solver_new_scratch(struct solver_usage *usage) |
|
1153 |
{
|
|
1154 |
struct solver_scratch *scratch = snew(struct solver_scratch); |
|
1155 |
int cr = usage->cr; |
|
1156 |
scratch->grid = snewn(cr*cr, unsigned char); |
|
1157 |
scratch->rowidx = snewn(cr, unsigned char); |
|
1158 |
scratch->colidx = snewn(cr, unsigned char); |
|
1159 |
scratch->set = snewn(cr, unsigned char); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1160 |
scratch->neighbours = snewn(5*cr, int); |
1
by Ben Hutchings
Import upstream version 6452 |
1161 |
scratch->bfsqueue = snewn(cr*cr, int); |
1162 |
#ifdef STANDALONE_SOLVER
|
|
1163 |
scratch->bfsprev = snewn(cr*cr, int); |
|
1164 |
#endif
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1165 |
scratch->indexlist = snewn(cr*cr, int); /* used for set elimination */ |
1166 |
scratch->indexlist2 = snewn(cr, int); /* only used for intersect() */ |
|
1
by Ben Hutchings
Import upstream version 6452 |
1167 |
return scratch; |
1168 |
}
|
|
1169 |
||
1170 |
static void solver_free_scratch(struct solver_scratch *scratch) |
|
1171 |
{
|
|
1172 |
#ifdef STANDALONE_SOLVER
|
|
1173 |
sfree(scratch->bfsprev); |
|
1174 |
#endif
|
|
1175 |
sfree(scratch->bfsqueue); |
|
1176 |
sfree(scratch->neighbours); |
|
1177 |
sfree(scratch->set); |
|
1178 |
sfree(scratch->colidx); |
|
1179 |
sfree(scratch->rowidx); |
|
1180 |
sfree(scratch->grid); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1181 |
sfree(scratch->indexlist); |
1182 |
sfree(scratch->indexlist2); |
|
1
by Ben Hutchings
Import upstream version 6452 |
1183 |
sfree(scratch); |
1184 |
}
|
|
1185 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1186 |
static int solver(int cr, struct block_structure *blocks, int xtype, |
1187 |
digit *grid, int maxdiff) |
|
1
by Ben Hutchings
Import upstream version 6452 |
1188 |
{
|
1189 |
struct solver_usage *usage; |
|
1190 |
struct solver_scratch *scratch; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1191 |
int x, y, b, i, n, ret; |
1
by Ben Hutchings
Import upstream version 6452 |
1192 |
int diff = DIFF_BLOCK; |
1193 |
||
1194 |
/*
|
|
1195 |
* Set up a usage structure as a clean slate (everything
|
|
1196 |
* possible).
|
|
1197 |
*/
|
|
1198 |
usage = snew(struct solver_usage); |
|
1199 |
usage->cr = cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1200 |
usage->blocks = blocks; |
1
by Ben Hutchings
Import upstream version 6452 |
1201 |
usage->cube = snewn(cr*cr*cr, unsigned char); |
1202 |
usage->grid = grid; /* write straight back to the input */ |
|
1203 |
memset(usage->cube, TRUE, cr*cr*cr); |
|
1204 |
||
1205 |
usage->row = snewn(cr * cr, unsigned char); |
|
1206 |
usage->col = snewn(cr * cr, unsigned char); |
|
1207 |
usage->blk = snewn(cr * cr, unsigned char); |
|
1208 |
memset(usage->row, FALSE, cr * cr); |
|
1209 |
memset(usage->col, FALSE, cr * cr); |
|
1210 |
memset(usage->blk, FALSE, cr * cr); |
|
1211 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1212 |
if (xtype) { |
1213 |
usage->diag = snewn(cr * 2, unsigned char); |
|
1214 |
memset(usage->diag, FALSE, cr * 2); |
|
1215 |
} else |
|
1216 |
usage->diag = NULL; |
|
1217 |
||
1
by Ben Hutchings
Import upstream version 6452 |
1218 |
scratch = solver_new_scratch(usage); |
1219 |
||
1220 |
/*
|
|
1221 |
* Place all the clue numbers we are given.
|
|
1222 |
*/
|
|
1223 |
for (x = 0; x < cr; x++) |
|
1224 |
for (y = 0; y < cr; y++) |
|
1225 |
if (grid[y*cr+x]) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1226 |
solver_place(usage, x, y, grid[y*cr+x]); |
1
by Ben Hutchings
Import upstream version 6452 |
1227 |
|
1228 |
/*
|
|
1229 |
* Now loop over the grid repeatedly trying all permitted modes
|
|
1230 |
* of reasoning. The loop terminates if we complete an
|
|
1231 |
* iteration without making any progress; we then return
|
|
1232 |
* failure or success depending on whether the grid is full or
|
|
1233 |
* not.
|
|
1234 |
*/
|
|
1235 |
while (1) { |
|
1236 |
/*
|
|
1237 |
* I'd like to write `continue;' inside each of the
|
|
1238 |
* following loops, so that the solver returns here after
|
|
1239 |
* making some progress. However, I can't specify that I
|
|
1240 |
* want to continue an outer loop rather than the innermost
|
|
1241 |
* one, so I'm apologetically resorting to a goto.
|
|
1242 |
*/
|
|
1243 |
cont: |
|
1244 |
||
1245 |
/*
|
|
1246 |
* Blockwise positional elimination.
|
|
1247 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1248 |
for (b = 0; b < cr; b++) |
1249 |
for (n = 1; n <= cr; n++) |
|
1250 |
if (!usage->blk[b*cr+n-1]) { |
|
1251 |
for (i = 0; i < cr; i++) |
|
1252 |
scratch->indexlist[i] = cubepos2(usage->blocks->blocks[b][i],n); |
|
1253 |
ret = solver_elim(usage, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1254 |
#ifdef STANDALONE_SOLVER
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1255 |
, "positional elimination," |
1256 |
" %d in block %s", n, |
|
1257 |
usage->blocks->blocknames[b] |
|
1
by Ben Hutchings
Import upstream version 6452 |
1258 |
#endif
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1259 |
);
|
1260 |
if (ret < 0) { |
|
1261 |
diff = DIFF_IMPOSSIBLE; |
|
1262 |
goto got_result; |
|
1263 |
} else if (ret > 0) { |
|
1264 |
diff = max(diff, DIFF_BLOCK); |
|
1265 |
goto cont; |
|
1266 |
}
|
|
1267 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
1268 |
|
1269 |
if (maxdiff <= DIFF_BLOCK) |
|
1270 |
break; |
|
1271 |
||
1272 |
/*
|
|
1273 |
* Row-wise positional elimination.
|
|
1274 |
*/
|
|
1275 |
for (y = 0; y < cr; y++) |
|
1276 |
for (n = 1; n <= cr; n++) |
|
1277 |
if (!usage->row[y*cr+n-1]) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1278 |
for (x = 0; x < cr; x++) |
1279 |
scratch->indexlist[x] = cubepos(x, y, n); |
|
1280 |
ret = solver_elim(usage, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1281 |
#ifdef STANDALONE_SOLVER
|
1282 |
, "positional elimination," |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1283 |
" %d in row %d", n, 1+y |
1
by Ben Hutchings
Import upstream version 6452 |
1284 |
#endif
|
1285 |
);
|
|
1286 |
if (ret < 0) { |
|
1287 |
diff = DIFF_IMPOSSIBLE; |
|
1288 |
goto got_result; |
|
1289 |
} else if (ret > 0) { |
|
1290 |
diff = max(diff, DIFF_SIMPLE); |
|
1291 |
goto cont; |
|
1292 |
}
|
|
1293 |
}
|
|
1294 |
/*
|
|
1295 |
* Column-wise positional elimination.
|
|
1296 |
*/
|
|
1297 |
for (x = 0; x < cr; x++) |
|
1298 |
for (n = 1; n <= cr; n++) |
|
1299 |
if (!usage->col[x*cr+n-1]) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1300 |
for (y = 0; y < cr; y++) |
1301 |
scratch->indexlist[y] = cubepos(x, y, n); |
|
1302 |
ret = solver_elim(usage, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1303 |
#ifdef STANDALONE_SOLVER
|
1304 |
, "positional elimination," |
|
1305 |
" %d in column %d", n, 1+x |
|
1306 |
#endif
|
|
1307 |
);
|
|
1308 |
if (ret < 0) { |
|
1309 |
diff = DIFF_IMPOSSIBLE; |
|
1310 |
goto got_result; |
|
1311 |
} else if (ret > 0) { |
|
1312 |
diff = max(diff, DIFF_SIMPLE); |
|
1313 |
goto cont; |
|
1314 |
}
|
|
1315 |
}
|
|
1316 |
||
1317 |
/*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1318 |
* X-diagonal positional elimination.
|
1319 |
*/
|
|
1320 |
if (usage->diag) { |
|
1321 |
for (n = 1; n <= cr; n++) |
|
1322 |
if (!usage->diag[n-1]) { |
|
1323 |
for (i = 0; i < cr; i++) |
|
1324 |
scratch->indexlist[i] = cubepos2(diag0(i), n); |
|
1325 |
ret = solver_elim(usage, scratch->indexlist |
|
1326 |
#ifdef STANDALONE_SOLVER
|
|
1327 |
, "positional elimination," |
|
1328 |
" %d in \\-diagonal", n |
|
1329 |
#endif
|
|
1330 |
);
|
|
1331 |
if (ret < 0) { |
|
1332 |
diff = DIFF_IMPOSSIBLE; |
|
1333 |
goto got_result; |
|
1334 |
} else if (ret > 0) { |
|
1335 |
diff = max(diff, DIFF_SIMPLE); |
|
1336 |
goto cont; |
|
1337 |
}
|
|
1338 |
}
|
|
1339 |
for (n = 1; n <= cr; n++) |
|
1340 |
if (!usage->diag[cr+n-1]) { |
|
1341 |
for (i = 0; i < cr; i++) |
|
1342 |
scratch->indexlist[i] = cubepos2(diag1(i), n); |
|
1343 |
ret = solver_elim(usage, scratch->indexlist |
|
1344 |
#ifdef STANDALONE_SOLVER
|
|
1345 |
, "positional elimination," |
|
1346 |
" %d in /-diagonal", n |
|
1347 |
#endif
|
|
1348 |
);
|
|
1349 |
if (ret < 0) { |
|
1350 |
diff = DIFF_IMPOSSIBLE; |
|
1351 |
goto got_result; |
|
1352 |
} else if (ret > 0) { |
|
1353 |
diff = max(diff, DIFF_SIMPLE); |
|
1354 |
goto cont; |
|
1355 |
}
|
|
1356 |
}
|
|
1357 |
}
|
|
1358 |
||
1359 |
/*
|
|
1
by Ben Hutchings
Import upstream version 6452 |
1360 |
* Numeric elimination.
|
1361 |
*/
|
|
1362 |
for (x = 0; x < cr; x++) |
|
1363 |
for (y = 0; y < cr; y++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1364 |
if (!usage->grid[y*cr+x]) { |
1365 |
for (n = 1; n <= cr; n++) |
|
1366 |
scratch->indexlist[n-1] = cubepos(x, y, n); |
|
1367 |
ret = solver_elim(usage, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1368 |
#ifdef STANDALONE_SOLVER
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1369 |
, "numeric elimination at (%d,%d)", |
1370 |
1+x, 1+y |
|
1
by Ben Hutchings
Import upstream version 6452 |
1371 |
#endif
|
1372 |
);
|
|
1373 |
if (ret < 0) { |
|
1374 |
diff = DIFF_IMPOSSIBLE; |
|
1375 |
goto got_result; |
|
1376 |
} else if (ret > 0) { |
|
1377 |
diff = max(diff, DIFF_SIMPLE); |
|
1378 |
goto cont; |
|
1379 |
}
|
|
1380 |
}
|
|
1381 |
||
1382 |
if (maxdiff <= DIFF_SIMPLE) |
|
1383 |
break; |
|
1384 |
||
1385 |
/*
|
|
1386 |
* Intersectional analysis, rows vs blocks.
|
|
1387 |
*/
|
|
1388 |
for (y = 0; y < cr; y++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1389 |
for (b = 0; b < cr; b++) |
1390 |
for (n = 1; n <= cr; n++) { |
|
1391 |
if (usage->row[y*cr+n-1] || |
|
1392 |
usage->blk[b*cr+n-1]) |
|
1393 |
continue; |
|
1394 |
for (i = 0; i < cr; i++) { |
|
1395 |
scratch->indexlist[i] = cubepos(i, y, n); |
|
1396 |
scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
|
1397 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
1398 |
/*
|
1399 |
* solver_intersect() never returns -1.
|
|
1400 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1401 |
if (solver_intersect(usage, scratch->indexlist, |
1402 |
scratch->indexlist2 |
|
1
by Ben Hutchings
Import upstream version 6452 |
1403 |
#ifdef STANDALONE_SOLVER
|
1404 |
, "intersectional analysis," |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1405 |
" %d in row %d vs block %s", |
1406 |
n, 1+y, usage->blocks->blocknames[b] |
|
1
by Ben Hutchings
Import upstream version 6452 |
1407 |
#endif
|
1408 |
) || |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1409 |
solver_intersect(usage, scratch->indexlist2, |
1410 |
scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1411 |
#ifdef STANDALONE_SOLVER
|
1412 |
, "intersectional analysis," |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1413 |
" %d in block %s vs row %d", |
1414 |
n, usage->blocks->blocknames[b], 1+y |
|
1
by Ben Hutchings
Import upstream version 6452 |
1415 |
#endif
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1416 |
)) { |
1
by Ben Hutchings
Import upstream version 6452 |
1417 |
diff = max(diff, DIFF_INTERSECT); |
1418 |
goto cont; |
|
1419 |
}
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1420 |
}
|
1
by Ben Hutchings
Import upstream version 6452 |
1421 |
|
1422 |
/*
|
|
1423 |
* Intersectional analysis, columns vs blocks.
|
|
1424 |
*/
|
|
1425 |
for (x = 0; x < cr; x++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1426 |
for (b = 0; b < cr; b++) |
1427 |
for (n = 1; n <= cr; n++) { |
|
1428 |
if (usage->col[x*cr+n-1] || |
|
1429 |
usage->blk[b*cr+n-1]) |
|
1430 |
continue; |
|
1431 |
for (i = 0; i < cr; i++) { |
|
1432 |
scratch->indexlist[i] = cubepos(x, i, n); |
|
1433 |
scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
|
1434 |
}
|
|
1435 |
if (solver_intersect(usage, scratch->indexlist, |
|
1436 |
scratch->indexlist2 |
|
1437 |
#ifdef STANDALONE_SOLVER
|
|
1438 |
, "intersectional analysis," |
|
1439 |
" %d in column %d vs block %s", |
|
1440 |
n, 1+x, usage->blocks->blocknames[b] |
|
1441 |
#endif
|
|
1442 |
) || |
|
1443 |
solver_intersect(usage, scratch->indexlist2, |
|
1444 |
scratch->indexlist |
|
1445 |
#ifdef STANDALONE_SOLVER
|
|
1446 |
, "intersectional analysis," |
|
1447 |
" %d in block %s vs column %d", |
|
1448 |
n, usage->blocks->blocknames[b], 1+x |
|
1449 |
#endif
|
|
1450 |
)) { |
|
1451 |
diff = max(diff, DIFF_INTERSECT); |
|
1452 |
goto cont; |
|
1453 |
}
|
|
1454 |
}
|
|
1455 |
||
1456 |
if (usage->diag) { |
|
1457 |
/*
|
|
1458 |
* Intersectional analysis, \-diagonal vs blocks.
|
|
1459 |
*/
|
|
1460 |
for (b = 0; b < cr; b++) |
|
1461 |
for (n = 1; n <= cr; n++) { |
|
1462 |
if (usage->diag[n-1] || |
|
1463 |
usage->blk[b*cr+n-1]) |
|
1464 |
continue; |
|
1465 |
for (i = 0; i < cr; i++) { |
|
1466 |
scratch->indexlist[i] = cubepos2(diag0(i), n); |
|
1467 |
scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
|
1468 |
}
|
|
1469 |
if (solver_intersect(usage, scratch->indexlist, |
|
1470 |
scratch->indexlist2 |
|
1471 |
#ifdef STANDALONE_SOLVER
|
|
1472 |
, "intersectional analysis," |
|
1473 |
" %d in \\-diagonal vs block %s", |
|
1474 |
n, 1+x, usage->blocks->blocknames[b] |
|
1475 |
#endif
|
|
1476 |
) || |
|
1477 |
solver_intersect(usage, scratch->indexlist2, |
|
1478 |
scratch->indexlist |
|
1479 |
#ifdef STANDALONE_SOLVER
|
|
1480 |
, "intersectional analysis," |
|
1481 |
" %d in block %s vs \\-diagonal", |
|
1482 |
n, usage->blocks->blocknames[b], 1+x |
|
1483 |
#endif
|
|
1484 |
)) { |
|
1485 |
diff = max(diff, DIFF_INTERSECT); |
|
1486 |
goto cont; |
|
1487 |
}
|
|
1488 |
}
|
|
1489 |
||
1490 |
/*
|
|
1491 |
* Intersectional analysis, /-diagonal vs blocks.
|
|
1492 |
*/
|
|
1493 |
for (b = 0; b < cr; b++) |
|
1494 |
for (n = 1; n <= cr; n++) { |
|
1495 |
if (usage->diag[cr+n-1] || |
|
1496 |
usage->blk[b*cr+n-1]) |
|
1497 |
continue; |
|
1498 |
for (i = 0; i < cr; i++) { |
|
1499 |
scratch->indexlist[i] = cubepos2(diag1(i), n); |
|
1500 |
scratch->indexlist2[i] = cubepos2(usage->blocks->blocks[b][i], n); |
|
1501 |
}
|
|
1502 |
if (solver_intersect(usage, scratch->indexlist, |
|
1503 |
scratch->indexlist2 |
|
1504 |
#ifdef STANDALONE_SOLVER
|
|
1505 |
, "intersectional analysis," |
|
1506 |
" %d in /-diagonal vs block %s", |
|
1507 |
n, 1+x, usage->blocks->blocknames[b] |
|
1508 |
#endif
|
|
1509 |
) || |
|
1510 |
solver_intersect(usage, scratch->indexlist2, |
|
1511 |
scratch->indexlist |
|
1512 |
#ifdef STANDALONE_SOLVER
|
|
1513 |
, "intersectional analysis," |
|
1514 |
" %d in block %s vs /-diagonal", |
|
1515 |
n, usage->blocks->blocknames[b], 1+x |
|
1516 |
#endif
|
|
1517 |
)) { |
|
1518 |
diff = max(diff, DIFF_INTERSECT); |
|
1519 |
goto cont; |
|
1520 |
}
|
|
1521 |
}
|
|
1522 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
1523 |
|
1524 |
if (maxdiff <= DIFF_INTERSECT) |
|
1525 |
break; |
|
1526 |
||
1527 |
/*
|
|
1528 |
* Blockwise set elimination.
|
|
1529 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1530 |
for (b = 0; b < cr; b++) { |
1531 |
for (i = 0; i < cr; i++) |
|
1532 |
for (n = 1; n <= cr; n++) |
|
1533 |
scratch->indexlist[i*cr+n-1] = cubepos2(usage->blocks->blocks[b][i], n); |
|
1534 |
ret = solver_set(usage, scratch, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1535 |
#ifdef STANDALONE_SOLVER
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1536 |
, "set elimination, block %s", |
1537 |
usage->blocks->blocknames[b] |
|
1
by Ben Hutchings
Import upstream version 6452 |
1538 |
#endif
|
1539 |
);
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1540 |
if (ret < 0) { |
1541 |
diff = DIFF_IMPOSSIBLE; |
|
1542 |
goto got_result; |
|
1543 |
} else if (ret > 0) { |
|
1544 |
diff = max(diff, DIFF_SET); |
|
1545 |
goto cont; |
|
1
by Ben Hutchings
Import upstream version 6452 |
1546 |
}
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1547 |
}
|
1
by Ben Hutchings
Import upstream version 6452 |
1548 |
|
1549 |
/*
|
|
1550 |
* Row-wise set elimination.
|
|
1551 |
*/
|
|
1552 |
for (y = 0; y < cr; y++) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1553 |
for (x = 0; x < cr; x++) |
1554 |
for (n = 1; n <= cr; n++) |
|
1555 |
scratch->indexlist[x*cr+n-1] = cubepos(x, y, n); |
|
1556 |
ret = solver_set(usage, scratch, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1557 |
#ifdef STANDALONE_SOLVER
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1558 |
, "set elimination, row %d", 1+y |
1
by Ben Hutchings
Import upstream version 6452 |
1559 |
#endif
|
1560 |
);
|
|
1561 |
if (ret < 0) { |
|
1562 |
diff = DIFF_IMPOSSIBLE; |
|
1563 |
goto got_result; |
|
1564 |
} else if (ret > 0) { |
|
1565 |
diff = max(diff, DIFF_SET); |
|
1566 |
goto cont; |
|
1567 |
}
|
|
1568 |
}
|
|
1569 |
||
1570 |
/*
|
|
1571 |
* Column-wise set elimination.
|
|
1572 |
*/
|
|
1573 |
for (x = 0; x < cr; x++) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1574 |
for (y = 0; y < cr; y++) |
1575 |
for (n = 1; n <= cr; n++) |
|
1576 |
scratch->indexlist[y*cr+n-1] = cubepos(x, y, n); |
|
1577 |
ret = solver_set(usage, scratch, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1578 |
#ifdef STANDALONE_SOLVER
|
1579 |
, "set elimination, column %d", 1+x |
|
1580 |
#endif
|
|
1581 |
);
|
|
1582 |
if (ret < 0) { |
|
1583 |
diff = DIFF_IMPOSSIBLE; |
|
1584 |
goto got_result; |
|
1585 |
} else if (ret > 0) { |
|
1586 |
diff = max(diff, DIFF_SET); |
|
1587 |
goto cont; |
|
1588 |
}
|
|
1589 |
}
|
|
1590 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1591 |
if (usage->diag) { |
1592 |
/*
|
|
1593 |
* \-diagonal set elimination.
|
|
1594 |
*/
|
|
1595 |
for (i = 0; i < cr; i++) |
|
1596 |
for (n = 1; n <= cr; n++) |
|
1597 |
scratch->indexlist[i*cr+n-1] = cubepos2(diag0(i), n); |
|
1598 |
ret = solver_set(usage, scratch, scratch->indexlist |
|
1599 |
#ifdef STANDALONE_SOLVER
|
|
1600 |
, "set elimination, \\-diagonal" |
|
1601 |
#endif
|
|
1602 |
);
|
|
1603 |
if (ret < 0) { |
|
1604 |
diff = DIFF_IMPOSSIBLE; |
|
1605 |
goto got_result; |
|
1606 |
} else if (ret > 0) { |
|
1607 |
diff = max(diff, DIFF_SET); |
|
1608 |
goto cont; |
|
1609 |
}
|
|
1610 |
||
1611 |
/*
|
|
1612 |
* /-diagonal set elimination.
|
|
1613 |
*/
|
|
1614 |
for (i = 0; i < cr; i++) |
|
1615 |
for (n = 1; n <= cr; n++) |
|
1616 |
scratch->indexlist[i*cr+n-1] = cubepos2(diag1(i), n); |
|
1617 |
ret = solver_set(usage, scratch, scratch->indexlist |
|
1618 |
#ifdef STANDALONE_SOLVER
|
|
1619 |
, "set elimination, \\-diagonal" |
|
1620 |
#endif
|
|
1621 |
);
|
|
1622 |
if (ret < 0) { |
|
1623 |
diff = DIFF_IMPOSSIBLE; |
|
1624 |
goto got_result; |
|
1625 |
} else if (ret > 0) { |
|
1626 |
diff = max(diff, DIFF_SET); |
|
1627 |
goto cont; |
|
1628 |
}
|
|
1629 |
}
|
|
1630 |
||
1631 |
if (maxdiff <= DIFF_SET) |
|
1632 |
break; |
|
1633 |
||
1
by Ben Hutchings
Import upstream version 6452 |
1634 |
/*
|
1635 |
* Row-vs-column set elimination on a single number.
|
|
1636 |
*/
|
|
1637 |
for (n = 1; n <= cr; n++) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1638 |
for (y = 0; y < cr; y++) |
1639 |
for (x = 0; x < cr; x++) |
|
1640 |
scratch->indexlist[y*cr+x] = cubepos(x, y, n); |
|
1641 |
ret = solver_set(usage, scratch, scratch->indexlist |
|
1
by Ben Hutchings
Import upstream version 6452 |
1642 |
#ifdef STANDALONE_SOLVER
|
1643 |
, "positional set elimination, number %d", n |
|
1644 |
#endif
|
|
1645 |
);
|
|
1646 |
if (ret < 0) { |
|
1647 |
diff = DIFF_IMPOSSIBLE; |
|
1648 |
goto got_result; |
|
1649 |
} else if (ret > 0) { |
|
1650 |
diff = max(diff, DIFF_EXTREME); |
|
1651 |
goto cont; |
|
1652 |
}
|
|
1653 |
}
|
|
1654 |
||
1655 |
/*
|
|
1656 |
* Forcing chains.
|
|
1657 |
*/
|
|
1658 |
if (solver_forcing(usage, scratch)) { |
|
1659 |
diff = max(diff, DIFF_EXTREME); |
|
1660 |
goto cont; |
|
1661 |
}
|
|
1662 |
||
1663 |
/*
|
|
1664 |
* If we reach here, we have made no deductions in this
|
|
1665 |
* iteration, so the algorithm terminates.
|
|
1666 |
*/
|
|
1667 |
break; |
|
1668 |
}
|
|
1669 |
||
1670 |
/*
|
|
1671 |
* Last chance: if we haven't fully solved the puzzle yet, try
|
|
1672 |
* recursing based on guesses for a particular square. We pick
|
|
1673 |
* one of the most constrained empty squares we can find, which
|
|
1674 |
* has the effect of pruning the search tree as much as
|
|
1675 |
* possible.
|
|
1676 |
*/
|
|
1677 |
if (maxdiff >= DIFF_RECURSIVE) { |
|
1678 |
int best, bestcount; |
|
1679 |
||
1680 |
best = -1; |
|
1681 |
bestcount = cr+1; |
|
1682 |
||
1683 |
for (y = 0; y < cr; y++) |
|
1684 |
for (x = 0; x < cr; x++) |
|
1685 |
if (!grid[y*cr+x]) { |
|
1686 |
int count; |
|
1687 |
||
1688 |
/*
|
|
1689 |
* An unfilled square. Count the number of
|
|
1690 |
* possible digits in it.
|
|
1691 |
*/
|
|
1692 |
count = 0; |
|
1693 |
for (n = 1; n <= cr; n++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1694 |
if (cube(x,y,n)) |
1
by Ben Hutchings
Import upstream version 6452 |
1695 |
count++; |
1696 |
||
1697 |
/*
|
|
1698 |
* We should have found any impossibilities
|
|
1699 |
* already, so this can safely be an assert.
|
|
1700 |
*/
|
|
1701 |
assert(count > 1); |
|
1702 |
||
1703 |
if (count < bestcount) { |
|
1704 |
bestcount = count; |
|
1705 |
best = y*cr+x; |
|
1706 |
}
|
|
1707 |
}
|
|
1708 |
||
1709 |
if (best != -1) { |
|
1710 |
int i, j; |
|
1711 |
digit *list, *ingrid, *outgrid; |
|
1712 |
||
1713 |
diff = DIFF_IMPOSSIBLE; /* no solution found yet */ |
|
1714 |
||
1715 |
/*
|
|
1716 |
* Attempt recursion.
|
|
1717 |
*/
|
|
1718 |
y = best / cr; |
|
1719 |
x = best % cr; |
|
1720 |
||
1721 |
list = snewn(cr, digit); |
|
1722 |
ingrid = snewn(cr * cr, digit); |
|
1723 |
outgrid = snewn(cr * cr, digit); |
|
1724 |
memcpy(ingrid, grid, cr * cr); |
|
1725 |
||
1726 |
/* Make a list of the possible digits. */
|
|
1727 |
for (j = 0, n = 1; n <= cr; n++) |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1728 |
if (cube(x,y,n)) |
1
by Ben Hutchings
Import upstream version 6452 |
1729 |
list[j++] = n; |
1730 |
||
1731 |
#ifdef STANDALONE_SOLVER
|
|
1732 |
if (solver_show_working) { |
|
1733 |
char *sep = ""; |
|
1734 |
printf("%*srecursing on (%d,%d) [", |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
1735 |
solver_recurse_depth*4, "", x + 1, y + 1); |
1
by Ben Hutchings
Import upstream version 6452 |
1736 |
for (i = 0; i < j; i++) { |
1737 |
printf("%s%d", sep, list[i]); |
|
1738 |
sep = " or "; |
|
1739 |
}
|
|
1740 |
printf("]\n"); |
|
1741 |
}
|
|
1742 |
#endif
|
|
1743 |
||
1744 |
/*
|
|
1745 |
* And step along the list, recursing back into the
|
|
1746 |
* main solver at every stage.
|
|
1747 |
*/
|
|
1748 |
for (i = 0; i < j; i++) { |
|
1749 |
int ret; |
|
1750 |
||
1751 |
memcpy(outgrid, ingrid, cr * cr); |
|
1752 |
outgrid[y*cr+x] = list[i]; |
|
1753 |
||
1754 |
#ifdef STANDALONE_SOLVER
|
|
1755 |
if (solver_show_working) |
|
1756 |
printf("%*sguessing %d at (%d,%d)\n", |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
1757 |
solver_recurse_depth*4, "", list[i], x + 1, y + 1); |
1
by Ben Hutchings
Import upstream version 6452 |
1758 |
solver_recurse_depth++; |
1759 |
#endif
|
|
1760 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1761 |
ret = solver(cr, blocks, xtype, outgrid, maxdiff); |
1
by Ben Hutchings
Import upstream version 6452 |
1762 |
|
1763 |
#ifdef STANDALONE_SOLVER
|
|
1764 |
solver_recurse_depth--; |
|
1765 |
if (solver_show_working) { |
|
1766 |
printf("%*sretracting %d at (%d,%d)\n", |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
1767 |
solver_recurse_depth*4, "", list[i], x + 1, y + 1); |
1
by Ben Hutchings
Import upstream version 6452 |
1768 |
}
|
1769 |
#endif
|
|
1770 |
||
1771 |
/*
|
|
1772 |
* If we have our first solution, copy it into the
|
|
1773 |
* grid we will return.
|
|
1774 |
*/
|
|
1775 |
if (diff == DIFF_IMPOSSIBLE && ret != DIFF_IMPOSSIBLE) |
|
1776 |
memcpy(grid, outgrid, cr*cr); |
|
1777 |
||
1778 |
if (ret == DIFF_AMBIGUOUS) |
|
1779 |
diff = DIFF_AMBIGUOUS; |
|
1780 |
else if (ret == DIFF_IMPOSSIBLE) |
|
1781 |
/* do not change our return value */; |
|
1782 |
else { |
|
1783 |
/* the recursion turned up exactly one solution */
|
|
1784 |
if (diff == DIFF_IMPOSSIBLE) |
|
1785 |
diff = DIFF_RECURSIVE; |
|
1786 |
else
|
|
1787 |
diff = DIFF_AMBIGUOUS; |
|
1788 |
}
|
|
1789 |
||
1790 |
/*
|
|
1791 |
* As soon as we've found more than one solution,
|
|
1792 |
* give up immediately.
|
|
1793 |
*/
|
|
1794 |
if (diff == DIFF_AMBIGUOUS) |
|
1795 |
break; |
|
1796 |
}
|
|
1797 |
||
1798 |
sfree(outgrid); |
|
1799 |
sfree(ingrid); |
|
1800 |
sfree(list); |
|
1801 |
}
|
|
1802 |
||
1803 |
} else { |
|
1804 |
/*
|
|
1805 |
* We're forbidden to use recursion, so we just see whether
|
|
1806 |
* our grid is fully solved, and return DIFF_IMPOSSIBLE
|
|
1807 |
* otherwise.
|
|
1808 |
*/
|
|
1809 |
for (y = 0; y < cr; y++) |
|
1810 |
for (x = 0; x < cr; x++) |
|
1811 |
if (!grid[y*cr+x]) |
|
1812 |
diff = DIFF_IMPOSSIBLE; |
|
1813 |
}
|
|
1814 |
||
1815 |
got_result:; |
|
1816 |
||
1817 |
#ifdef STANDALONE_SOLVER
|
|
1818 |
if (solver_show_working) |
|
1819 |
printf("%*s%s found\n", |
|
1820 |
solver_recurse_depth*4, "", |
|
1821 |
diff == DIFF_IMPOSSIBLE ? "no solution" : |
|
1822 |
diff == DIFF_AMBIGUOUS ? "multiple solutions" : |
|
1823 |
"one solution"); |
|
1824 |
#endif
|
|
1825 |
||
1826 |
sfree(usage->cube); |
|
1827 |
sfree(usage->row); |
|
1828 |
sfree(usage->col); |
|
1829 |
sfree(usage->blk); |
|
1830 |
sfree(usage); |
|
1831 |
||
1832 |
solver_free_scratch(scratch); |
|
1833 |
||
1834 |
return diff; |
|
1835 |
}
|
|
1836 |
||
1837 |
/* ----------------------------------------------------------------------
|
|
1838 |
* End of solver code.
|
|
1839 |
*/
|
|
1840 |
||
1841 |
/* ----------------------------------------------------------------------
|
|
1842 |
* Solo filled-grid generator.
|
|
1843 |
*
|
|
1844 |
* This grid generator works by essentially trying to solve a grid
|
|
1845 |
* starting from no clues, and not worrying that there's more than
|
|
1846 |
* one possible solution. Unfortunately, it isn't computationally
|
|
1847 |
* feasible to do this by calling the above solver with an empty
|
|
1848 |
* grid, because that one needs to allocate a lot of scratch space
|
|
1849 |
* at every recursion level. Instead, I have a much simpler
|
|
1850 |
* algorithm which I shamelessly copied from a Python solver
|
|
1851 |
* written by Andrew Wilkinson (which is GPLed, but I've reused
|
|
1852 |
* only ideas and no code). It mostly just does the obvious
|
|
1853 |
* recursive thing: pick an empty square, put one of the possible
|
|
1854 |
* digits in it, recurse until all squares are filled, backtrack
|
|
1855 |
* and change some choices if necessary.
|
|
1856 |
*
|
|
1857 |
* The clever bit is that every time it chooses which square to
|
|
1858 |
* fill in next, it does so by counting the number of _possible_
|
|
1859 |
* numbers that can go in each square, and it prioritises so that
|
|
1860 |
* it picks a square with the _lowest_ number of possibilities. The
|
|
1861 |
* idea is that filling in lots of the obvious bits (particularly
|
|
1862 |
* any squares with only one possibility) will cut down on the list
|
|
1863 |
* of possibilities for other squares and hence reduce the enormous
|
|
1864 |
* search space as much as possible as early as possible.
|
|
1865 |
*/
|
|
1866 |
||
1867 |
/*
|
|
1868 |
* Internal data structure used in gridgen to keep track of
|
|
1869 |
* progress.
|
|
1870 |
*/
|
|
1871 |
struct gridgen_coord { int x, y, r; }; |
|
1872 |
struct gridgen_usage { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1873 |
int cr; |
1874 |
struct block_structure *blocks; |
|
1
by Ben Hutchings
Import upstream version 6452 |
1875 |
/* grid is a copy of the input grid, modified as we go along */
|
1876 |
digit *grid; |
|
1877 |
/* row[y*cr+n-1] TRUE if digit n has been placed in row y */
|
|
1878 |
unsigned char *row; |
|
1879 |
/* col[x*cr+n-1] TRUE if digit n has been placed in row x */
|
|
1880 |
unsigned char *col; |
|
1881 |
/* blk[(y*c+x)*cr+n-1] TRUE if digit n has been placed in block (x,y) */
|
|
1882 |
unsigned char *blk; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1883 |
/* diag[i*cr+n-1] TRUE if digit n has been placed in diagonal i */
|
1884 |
unsigned char *diag; |
|
1
by Ben Hutchings
Import upstream version 6452 |
1885 |
/* This lists all the empty spaces remaining in the grid. */
|
1886 |
struct gridgen_coord *spaces; |
|
1887 |
int nspaces; |
|
1888 |
/* If we need randomisation in the solve, this is our random state. */
|
|
1889 |
random_state *rs; |
|
1890 |
};
|
|
1891 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1892 |
static void gridgen_place(struct gridgen_usage *usage, int x, int y, digit n, |
1893 |
int placing) |
|
1894 |
{
|
|
1895 |
int cr = usage->cr; |
|
1896 |
usage->row[y*cr+n-1] = usage->col[x*cr+n-1] = |
|
1897 |
usage->blk[usage->blocks->whichblock[y*cr+x]*cr+n-1] = placing; |
|
1898 |
if (usage->diag) { |
|
1899 |
if (ondiag0(y*cr+x)) |
|
1900 |
usage->diag[n-1] = placing; |
|
1901 |
if (ondiag1(y*cr+x)) |
|
1902 |
usage->diag[cr+n-1] = placing; |
|
1903 |
}
|
|
1904 |
usage->grid[y*cr+x] = placing ? n : 0; |
|
1905 |
}
|
|
1906 |
||
1
by Ben Hutchings
Import upstream version 6452 |
1907 |
/*
|
1908 |
* The real recursive step in the generating function.
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1909 |
*
|
1910 |
* Return values: 1 means solution found, 0 means no solution
|
|
1911 |
* found on this branch.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
1912 |
*/
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1913 |
static int gridgen_real(struct gridgen_usage *usage, digit *grid, int *steps) |
1
by Ben Hutchings
Import upstream version 6452 |
1914 |
{
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1915 |
int cr = usage->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
1916 |
int i, j, n, sx, sy, bestm, bestr, ret; |
1917 |
int *digits; |
|
1918 |
||
1919 |
/*
|
|
1920 |
* Firstly, check for completion! If there are no spaces left
|
|
1921 |
* in the grid, we have a solution.
|
|
1922 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1923 |
if (usage->nspaces == 0) |
1
by Ben Hutchings
Import upstream version 6452 |
1924 |
return TRUE; |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1925 |
|
1926 |
/*
|
|
1927 |
* Next, abandon generation if we went over our steps limit.
|
|
1928 |
*/
|
|
1929 |
if (*steps <= 0) |
|
1930 |
return FALSE; |
|
1931 |
(*steps)--; |
|
1
by Ben Hutchings
Import upstream version 6452 |
1932 |
|
1933 |
/*
|
|
1934 |
* Otherwise, there must be at least one space. Find the most
|
|
1935 |
* constrained space, using the `r' field as a tie-breaker.
|
|
1936 |
*/
|
|
1937 |
bestm = cr+1; /* so that any space will beat it */ |
|
1938 |
bestr = 0; |
|
1939 |
i = sx = sy = -1; |
|
1940 |
for (j = 0; j < usage->nspaces; j++) { |
|
1941 |
int x = usage->spaces[j].x, y = usage->spaces[j].y; |
|
1942 |
int m; |
|
1943 |
||
1944 |
/*
|
|
1945 |
* Find the number of digits that could go in this space.
|
|
1946 |
*/
|
|
1947 |
m = 0; |
|
1948 |
for (n = 0; n < cr; n++) |
|
1949 |
if (!usage->row[y*cr+n] && !usage->col[x*cr+n] && |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1950 |
!usage->blk[usage->blocks->whichblock[y*cr+x]*cr+n] && |
1951 |
(!usage->diag || ((!ondiag0(y*cr+x) || !usage->diag[n]) && |
|
1952 |
(!ondiag1(y*cr+x) || !usage->diag[cr+n])))) |
|
1
by Ben Hutchings
Import upstream version 6452 |
1953 |
m++; |
1954 |
||
1955 |
if (m < bestm || (m == bestm && usage->spaces[j].r < bestr)) { |
|
1956 |
bestm = m; |
|
1957 |
bestr = usage->spaces[j].r; |
|
1958 |
sx = x; |
|
1959 |
sy = y; |
|
1960 |
i = j; |
|
1961 |
}
|
|
1962 |
}
|
|
1963 |
||
1964 |
/*
|
|
1965 |
* Swap that square into the final place in the spaces array,
|
|
1966 |
* so that decrementing nspaces will remove it from the list.
|
|
1967 |
*/
|
|
1968 |
if (i != usage->nspaces-1) { |
|
1969 |
struct gridgen_coord t; |
|
1970 |
t = usage->spaces[usage->nspaces-1]; |
|
1971 |
usage->spaces[usage->nspaces-1] = usage->spaces[i]; |
|
1972 |
usage->spaces[i] = t; |
|
1973 |
}
|
|
1974 |
||
1975 |
/*
|
|
1976 |
* Now we've decided which square to start our recursion at,
|
|
1977 |
* simply go through all possible values, shuffling them
|
|
1978 |
* randomly first if necessary.
|
|
1979 |
*/
|
|
1980 |
digits = snewn(bestm, int); |
|
1981 |
j = 0; |
|
1982 |
for (n = 0; n < cr; n++) |
|
1983 |
if (!usage->row[sy*cr+n] && !usage->col[sx*cr+n] && |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1984 |
!usage->blk[usage->blocks->whichblock[sy*cr+sx]*cr+n] && |
1985 |
(!usage->diag || ((!ondiag0(sy*cr+sx) || !usage->diag[n]) && |
|
1986 |
(!ondiag1(sy*cr+sx) || !usage->diag[cr+n])))) { |
|
1
by Ben Hutchings
Import upstream version 6452 |
1987 |
digits[j++] = n+1; |
1988 |
}
|
|
1989 |
||
1990 |
if (usage->rs) |
|
1991 |
shuffle(digits, j, sizeof(*digits), usage->rs); |
|
1992 |
||
1993 |
/* And finally, go through the digit list and actually recurse. */
|
|
1994 |
ret = FALSE; |
|
1995 |
for (i = 0; i < j; i++) { |
|
1996 |
n = digits[i]; |
|
1997 |
||
1998 |
/* Update the usage structure to reflect the placing of this digit. */
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
1999 |
gridgen_place(usage, sx, sy, n, TRUE); |
1
by Ben Hutchings
Import upstream version 6452 |
2000 |
usage->nspaces--; |
2001 |
||
2002 |
/* Call the solver recursively. Stop when we find a solution. */
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2003 |
if (gridgen_real(usage, grid, steps)) { |
1
by Ben Hutchings
Import upstream version 6452 |
2004 |
ret = TRUE; |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2005 |
break; |
2006 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
2007 |
|
2008 |
/* Revert the usage structure. */
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2009 |
gridgen_place(usage, sx, sy, n, FALSE); |
1
by Ben Hutchings
Import upstream version 6452 |
2010 |
usage->nspaces++; |
2011 |
}
|
|
2012 |
||
2013 |
sfree(digits); |
|
2014 |
return ret; |
|
2015 |
}
|
|
2016 |
||
2017 |
/*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2018 |
* Entry point to generator. You give it parameters and a starting
|
1
by Ben Hutchings
Import upstream version 6452 |
2019 |
* grid, which is simply an array of cr*cr digits.
|
2020 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2021 |
static int gridgen(int cr, struct block_structure *blocks, int xtype, |
2022 |
digit *grid, random_state *rs, int maxsteps) |
|
1
by Ben Hutchings
Import upstream version 6452 |
2023 |
{
|
2024 |
struct gridgen_usage *usage; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2025 |
int x, y, ret; |
1
by Ben Hutchings
Import upstream version 6452 |
2026 |
|
2027 |
/*
|
|
2028 |
* Clear the grid to start with.
|
|
2029 |
*/
|
|
2030 |
memset(grid, 0, cr*cr); |
|
2031 |
||
2032 |
/*
|
|
2033 |
* Create a gridgen_usage structure.
|
|
2034 |
*/
|
|
2035 |
usage = snew(struct gridgen_usage); |
|
2036 |
||
2037 |
usage->cr = cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2038 |
usage->blocks = blocks; |
1
by Ben Hutchings
Import upstream version 6452 |
2039 |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2040 |
usage->grid = grid; |
1
by Ben Hutchings
Import upstream version 6452 |
2041 |
|
2042 |
usage->row = snewn(cr * cr, unsigned char); |
|
2043 |
usage->col = snewn(cr * cr, unsigned char); |
|
2044 |
usage->blk = snewn(cr * cr, unsigned char); |
|
2045 |
memset(usage->row, FALSE, cr * cr); |
|
2046 |
memset(usage->col, FALSE, cr * cr); |
|
2047 |
memset(usage->blk, FALSE, cr * cr); |
|
2048 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2049 |
if (xtype) { |
2050 |
usage->diag = snewn(2 * cr, unsigned char); |
|
2051 |
memset(usage->diag, FALSE, 2 * cr); |
|
2052 |
} else { |
|
2053 |
usage->diag = NULL; |
|
2054 |
}
|
|
2055 |
||
2056 |
/*
|
|
2057 |
* Begin by filling in the whole top row with randomly chosen
|
|
2058 |
* numbers. This cannot introduce any bias or restriction on
|
|
2059 |
* the available grids, since we already know those numbers
|
|
2060 |
* are all distinct so all we're doing is choosing their
|
|
2061 |
* labels.
|
|
2062 |
*/
|
|
2063 |
for (x = 0; x < cr; x++) |
|
2064 |
grid[x] = x+1; |
|
2065 |
shuffle(grid, cr, sizeof(*grid), rs); |
|
2066 |
for (x = 0; x < cr; x++) |
|
2067 |
gridgen_place(usage, x, 0, grid[x], TRUE); |
|
2068 |
||
1
by Ben Hutchings
Import upstream version 6452 |
2069 |
usage->spaces = snewn(cr * cr, struct gridgen_coord); |
2070 |
usage->nspaces = 0; |
|
2071 |
||
2072 |
usage->rs = rs; |
|
2073 |
||
2074 |
/*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2075 |
* Initialise the list of grid spaces, taking care to leave
|
2076 |
* out the row I've already filled in above.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
2077 |
*/
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2078 |
for (y = 1; y < cr; y++) { |
1
by Ben Hutchings
Import upstream version 6452 |
2079 |
for (x = 0; x < cr; x++) { |
2080 |
usage->spaces[usage->nspaces].x = x; |
|
2081 |
usage->spaces[usage->nspaces].y = y; |
|
2082 |
usage->spaces[usage->nspaces].r = random_bits(rs, 31); |
|
2083 |
usage->nspaces++; |
|
2084 |
}
|
|
2085 |
}
|
|
2086 |
||
2087 |
/*
|
|
2088 |
* Run the real generator function.
|
|
2089 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2090 |
ret = gridgen_real(usage, grid, &maxsteps); |
1
by Ben Hutchings
Import upstream version 6452 |
2091 |
|
2092 |
/*
|
|
2093 |
* Clean up the usage structure now we have our answer.
|
|
2094 |
*/
|
|
2095 |
sfree(usage->spaces); |
|
2096 |
sfree(usage->blk); |
|
2097 |
sfree(usage->col); |
|
2098 |
sfree(usage->row); |
|
2099 |
sfree(usage); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2100 |
|
2101 |
return ret; |
|
1
by Ben Hutchings
Import upstream version 6452 |
2102 |
}
|
2103 |
||
2104 |
/* ----------------------------------------------------------------------
|
|
2105 |
* End of grid generator code.
|
|
2106 |
*/
|
|
2107 |
||
2108 |
/*
|
|
2109 |
* Check whether a grid contains a valid complete puzzle.
|
|
2110 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2111 |
static int check_valid(int cr, struct block_structure *blocks, int xtype, |
2112 |
digit *grid) |
|
1
by Ben Hutchings
Import upstream version 6452 |
2113 |
{
|
2114 |
unsigned char *used; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2115 |
int x, y, i, j, n; |
1
by Ben Hutchings
Import upstream version 6452 |
2116 |
|
2117 |
used = snewn(cr, unsigned char); |
|
2118 |
||
2119 |
/*
|
|
2120 |
* Check that each row contains precisely one of everything.
|
|
2121 |
*/
|
|
2122 |
for (y = 0; y < cr; y++) { |
|
2123 |
memset(used, FALSE, cr); |
|
2124 |
for (x = 0; x < cr; x++) |
|
2125 |
if (grid[y*cr+x] > 0 && grid[y*cr+x] <= cr) |
|
2126 |
used[grid[y*cr+x]-1] = TRUE; |
|
2127 |
for (n = 0; n < cr; n++) |
|
2128 |
if (!used[n]) { |
|
2129 |
sfree(used); |
|
2130 |
return FALSE; |
|
2131 |
}
|
|
2132 |
}
|
|
2133 |
||
2134 |
/*
|
|
2135 |
* Check that each column contains precisely one of everything.
|
|
2136 |
*/
|
|
2137 |
for (x = 0; x < cr; x++) { |
|
2138 |
memset(used, FALSE, cr); |
|
2139 |
for (y = 0; y < cr; y++) |
|
2140 |
if (grid[y*cr+x] > 0 && grid[y*cr+x] <= cr) |
|
2141 |
used[grid[y*cr+x]-1] = TRUE; |
|
2142 |
for (n = 0; n < cr; n++) |
|
2143 |
if (!used[n]) { |
|
2144 |
sfree(used); |
|
2145 |
return FALSE; |
|
2146 |
}
|
|
2147 |
}
|
|
2148 |
||
2149 |
/*
|
|
2150 |
* Check that each block contains precisely one of everything.
|
|
2151 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2152 |
for (i = 0; i < cr; i++) { |
2153 |
memset(used, FALSE, cr); |
|
2154 |
for (j = 0; j < cr; j++) |
|
2155 |
if (grid[blocks->blocks[i][j]] > 0 && |
|
2156 |
grid[blocks->blocks[i][j]] <= cr) |
|
2157 |
used[grid[blocks->blocks[i][j]]-1] = TRUE; |
|
2158 |
for (n = 0; n < cr; n++) |
|
2159 |
if (!used[n]) { |
|
2160 |
sfree(used); |
|
2161 |
return FALSE; |
|
2162 |
}
|
|
2163 |
}
|
|
2164 |
||
2165 |
/*
|
|
2166 |
* Check that each diagonal contains precisely one of everything.
|
|
2167 |
*/
|
|
2168 |
if (xtype) { |
|
2169 |
memset(used, FALSE, cr); |
|
2170 |
for (i = 0; i < cr; i++) |
|
2171 |
if (grid[diag0(i)] > 0 && grid[diag0(i)] <= cr) |
|
2172 |
used[grid[diag0(i)]-1] = TRUE; |
|
2173 |
for (n = 0; n < cr; n++) |
|
2174 |
if (!used[n]) { |
|
2175 |
sfree(used); |
|
2176 |
return FALSE; |
|
2177 |
}
|
|
2178 |
for (i = 0; i < cr; i++) |
|
2179 |
if (grid[diag1(i)] > 0 && grid[diag1(i)] <= cr) |
|
2180 |
used[grid[diag1(i)]-1] = TRUE; |
|
2181 |
for (n = 0; n < cr; n++) |
|
2182 |
if (!used[n]) { |
|
2183 |
sfree(used); |
|
2184 |
return FALSE; |
|
2185 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
2186 |
}
|
2187 |
||
2188 |
sfree(used); |
|
2189 |
return TRUE; |
|
2190 |
}
|
|
2191 |
||
2192 |
static int symmetries(game_params *params, int x, int y, int *output, int s) |
|
2193 |
{
|
|
2194 |
int c = params->c, r = params->r, cr = c*r; |
|
2195 |
int i = 0; |
|
2196 |
||
2197 |
#define ADD(x,y) (*output++ = (x), *output++ = (y), i++)
|
|
2198 |
||
2199 |
ADD(x, y); |
|
2200 |
||
2201 |
switch (s) { |
|
2202 |
case SYMM_NONE: |
|
2203 |
break; /* just x,y is all we need */ |
|
2204 |
case SYMM_ROT2: |
|
2205 |
ADD(cr - 1 - x, cr - 1 - y); |
|
2206 |
break; |
|
2207 |
case SYMM_ROT4: |
|
2208 |
ADD(cr - 1 - y, x); |
|
2209 |
ADD(y, cr - 1 - x); |
|
2210 |
ADD(cr - 1 - x, cr - 1 - y); |
|
2211 |
break; |
|
2212 |
case SYMM_REF2: |
|
2213 |
ADD(cr - 1 - x, y); |
|
2214 |
break; |
|
2215 |
case SYMM_REF2D: |
|
2216 |
ADD(y, x); |
|
2217 |
break; |
|
2218 |
case SYMM_REF4: |
|
2219 |
ADD(cr - 1 - x, y); |
|
2220 |
ADD(x, cr - 1 - y); |
|
2221 |
ADD(cr - 1 - x, cr - 1 - y); |
|
2222 |
break; |
|
2223 |
case SYMM_REF4D: |
|
2224 |
ADD(y, x); |
|
2225 |
ADD(cr - 1 - x, cr - 1 - y); |
|
2226 |
ADD(cr - 1 - y, cr - 1 - x); |
|
2227 |
break; |
|
2228 |
case SYMM_REF8: |
|
2229 |
ADD(cr - 1 - x, y); |
|
2230 |
ADD(x, cr - 1 - y); |
|
2231 |
ADD(cr - 1 - x, cr - 1 - y); |
|
2232 |
ADD(y, x); |
|
2233 |
ADD(y, cr - 1 - x); |
|
2234 |
ADD(cr - 1 - y, x); |
|
2235 |
ADD(cr - 1 - y, cr - 1 - x); |
|
2236 |
break; |
|
2237 |
}
|
|
2238 |
||
2239 |
#undef ADD
|
|
2240 |
||
2241 |
return i; |
|
2242 |
}
|
|
2243 |
||
2244 |
static char *encode_solve_move(int cr, digit *grid) |
|
2245 |
{
|
|
2246 |
int i, len; |
|
2247 |
char *ret, *p, *sep; |
|
2248 |
||
2249 |
/*
|
|
2250 |
* It's surprisingly easy to work out _exactly_ how long this
|
|
2251 |
* string needs to be. To decimal-encode all the numbers from 1
|
|
2252 |
* to n:
|
|
2253 |
*
|
|
2254 |
* - every number has a units digit; total is n.
|
|
2255 |
* - all numbers above 9 have a tens digit; total is max(n-9,0).
|
|
2256 |
* - all numbers above 99 have a hundreds digit; total is max(n-99,0).
|
|
2257 |
* - and so on.
|
|
2258 |
*/
|
|
2259 |
len = 0; |
|
2260 |
for (i = 1; i <= cr; i *= 10) |
|
2261 |
len += max(cr - i + 1, 0); |
|
2262 |
len += cr; /* don't forget the commas */ |
|
2263 |
len *= cr; /* there are cr rows of these */ |
|
2264 |
||
2265 |
/*
|
|
2266 |
* Now len is one bigger than the total size of the
|
|
2267 |
* comma-separated numbers (because we counted an
|
|
2268 |
* additional leading comma). We need to have a leading S
|
|
2269 |
* and a trailing NUL, so we're off by one in total.
|
|
2270 |
*/
|
|
2271 |
len++; |
|
2272 |
||
2273 |
ret = snewn(len, char); |
|
2274 |
p = ret; |
|
2275 |
*p++ = 'S'; |
|
2276 |
sep = ""; |
|
2277 |
for (i = 0; i < cr*cr; i++) { |
|
2278 |
p += sprintf(p, "%s%d", sep, grid[i]); |
|
2279 |
sep = ","; |
|
2280 |
}
|
|
2281 |
*p++ = '\0'; |
|
2282 |
assert(p - ret == len); |
|
2283 |
||
2284 |
return ret; |
|
2285 |
}
|
|
2286 |
||
2287 |
static char *new_game_desc(game_params *params, random_state *rs, |
|
2288 |
char **aux, int interactive) |
|
2289 |
{
|
|
2290 |
int c = params->c, r = params->r, cr = c*r; |
|
2291 |
int area = cr*cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2292 |
struct block_structure *blocks; |
1
by Ben Hutchings
Import upstream version 6452 |
2293 |
digit *grid, *grid2; |
2294 |
struct xy { int x, y; } *locs; |
|
2295 |
int nlocs; |
|
2296 |
char *desc; |
|
2297 |
int coords[16], ncoords; |
|
2298 |
int maxdiff; |
|
2299 |
int x, y, i, j; |
|
2300 |
||
2301 |
/*
|
|
2302 |
* Adjust the maximum difficulty level to be consistent with
|
|
2303 |
* the puzzle size: all 2x2 puzzles appear to be Trivial
|
|
2304 |
* (DIFF_BLOCK) so we cannot hold out for even a Basic
|
|
2305 |
* (DIFF_SIMPLE) one.
|
|
2306 |
*/
|
|
2307 |
maxdiff = params->diff; |
|
2308 |
if (c == 2 && r == 2) |
|
2309 |
maxdiff = DIFF_BLOCK; |
|
2310 |
||
2311 |
grid = snewn(area, digit); |
|
2312 |
locs = snewn(area, struct xy); |
|
2313 |
grid2 = snewn(area, digit); |
|
2314 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2315 |
blocks = snew(struct block_structure); |
2316 |
blocks->c = params->c; blocks->r = params->r; |
|
2317 |
blocks->whichblock = snewn(area*2, int); |
|
2318 |
blocks->blocks = snewn(cr, int *); |
|
2319 |
for (i = 0; i < cr; i++) |
|
2320 |
blocks->blocks[i] = blocks->whichblock + area + i*cr; |
|
2321 |
#ifdef STANDALONE_SOLVER
|
|
2322 |
assert(!"This should never happen, so we don't need to create blocknames"); |
|
2323 |
#endif
|
|
2324 |
||
1
by Ben Hutchings
Import upstream version 6452 |
2325 |
/*
|
2326 |
* Loop until we get a grid of the required difficulty. This is
|
|
2327 |
* nasty, but it seems to be unpleasantly hard to generate
|
|
2328 |
* difficult grids otherwise.
|
|
2329 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2330 |
while (1) { |
1
by Ben Hutchings
Import upstream version 6452 |
2331 |
/*
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2332 |
* Generate a random solved state, starting by
|
2333 |
* constructing the block structure.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
2334 |
*/
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2335 |
if (r == 1) { /* jigsaw mode */ |
2336 |
int *dsf = divvy_rectangle(cr, cr, cr, rs); |
|
2337 |
int nb = 0; |
|
2338 |
||
2339 |
for (i = 0; i < area; i++) |
|
2340 |
blocks->whichblock[i] = -1; |
|
2341 |
for (i = 0; i < area; i++) { |
|
2342 |
int j = dsf_canonify(dsf, i); |
|
2343 |
if (blocks->whichblock[j] < 0) |
|
2344 |
blocks->whichblock[j] = nb++; |
|
2345 |
blocks->whichblock[i] = blocks->whichblock[j]; |
|
2346 |
}
|
|
2347 |
assert(nb == cr); |
|
2348 |
||
2349 |
sfree(dsf); |
|
2350 |
} else { /* basic Sudoku mode */ |
|
2351 |
for (y = 0; y < cr; y++) |
|
2352 |
for (x = 0; x < cr; x++) |
|
2353 |
blocks->whichblock[y*cr+x] = (y/c) * c + (x/r); |
|
2354 |
}
|
|
2355 |
for (i = 0; i < cr; i++) |
|
2356 |
blocks->blocks[i][cr-1] = 0; |
|
2357 |
for (i = 0; i < area; i++) { |
|
2358 |
int b = blocks->whichblock[i]; |
|
2359 |
j = blocks->blocks[b][cr-1]++; |
|
2360 |
assert(j < cr); |
|
2361 |
blocks->blocks[b][j] = i; |
|
2362 |
}
|
|
2363 |
||
2364 |
if (!gridgen(cr, blocks, params->xtype, grid, rs, area*area)) |
|
2365 |
continue; |
|
2366 |
assert(check_valid(cr, blocks, params->xtype, grid)); |
|
1
by Ben Hutchings
Import upstream version 6452 |
2367 |
|
2368 |
/*
|
|
2369 |
* Save the solved grid in aux.
|
|
2370 |
*/
|
|
2371 |
{
|
|
2372 |
/*
|
|
2373 |
* We might already have written *aux the last time we
|
|
2374 |
* went round this loop, in which case we should free
|
|
2375 |
* the old aux before overwriting it with the new one.
|
|
2376 |
*/
|
|
2377 |
if (*aux) { |
|
2378 |
sfree(*aux); |
|
2379 |
}
|
|
2380 |
||
2381 |
*aux = encode_solve_move(cr, grid); |
|
2382 |
}
|
|
2383 |
||
2384 |
/*
|
|
2385 |
* Now we have a solved grid, start removing things from it
|
|
2386 |
* while preserving solubility.
|
|
2387 |
*/
|
|
2388 |
||
2389 |
/*
|
|
2390 |
* Find the set of equivalence classes of squares permitted
|
|
2391 |
* by the selected symmetry. We do this by enumerating all
|
|
2392 |
* the grid squares which have no symmetric companion
|
|
2393 |
* sorting lower than themselves.
|
|
2394 |
*/
|
|
2395 |
nlocs = 0; |
|
2396 |
for (y = 0; y < cr; y++) |
|
2397 |
for (x = 0; x < cr; x++) { |
|
2398 |
int i = y*cr+x; |
|
2399 |
int j; |
|
2400 |
||
2401 |
ncoords = symmetries(params, x, y, coords, params->symm); |
|
2402 |
for (j = 0; j < ncoords; j++) |
|
2403 |
if (coords[2*j+1]*cr+coords[2*j] < i) |
|
2404 |
break; |
|
2405 |
if (j == ncoords) { |
|
2406 |
locs[nlocs].x = x; |
|
2407 |
locs[nlocs].y = y; |
|
2408 |
nlocs++; |
|
2409 |
}
|
|
2410 |
}
|
|
2411 |
||
2412 |
/*
|
|
2413 |
* Now shuffle that list.
|
|
2414 |
*/
|
|
2415 |
shuffle(locs, nlocs, sizeof(*locs), rs); |
|
2416 |
||
2417 |
/*
|
|
2418 |
* Now loop over the shuffled list and, for each element,
|
|
2419 |
* see whether removing that element (and its reflections)
|
|
2420 |
* from the grid will still leave the grid soluble.
|
|
2421 |
*/
|
|
2422 |
for (i = 0; i < nlocs; i++) { |
|
2423 |
int ret; |
|
2424 |
||
2425 |
x = locs[i].x; |
|
2426 |
y = locs[i].y; |
|
2427 |
||
2428 |
memcpy(grid2, grid, area); |
|
2429 |
ncoords = symmetries(params, x, y, coords, params->symm); |
|
2430 |
for (j = 0; j < ncoords; j++) |
|
2431 |
grid2[coords[2*j+1]*cr+coords[2*j]] = 0; |
|
2432 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2433 |
ret = solver(cr, blocks, params->xtype, grid2, maxdiff); |
1
by Ben Hutchings
Import upstream version 6452 |
2434 |
if (ret <= maxdiff) { |
2435 |
for (j = 0; j < ncoords; j++) |
|
2436 |
grid[coords[2*j+1]*cr+coords[2*j]] = 0; |
|
2437 |
}
|
|
2438 |
}
|
|
2439 |
||
2440 |
memcpy(grid2, grid, area); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2441 |
|
2442 |
if (solver(cr, blocks, params->xtype, grid2, maxdiff) == maxdiff) |
|
2443 |
break; /* found one! */ |
|
2444 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
2445 |
|
2446 |
sfree(grid2); |
|
2447 |
sfree(locs); |
|
2448 |
||
2449 |
/*
|
|
2450 |
* Now we have the grid as it will be presented to the user.
|
|
2451 |
* Encode it in a game desc.
|
|
2452 |
*/
|
|
2453 |
{
|
|
2454 |
char *p; |
|
2455 |
int run, i; |
|
2456 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2457 |
desc = snewn(7 * area, char); |
1
by Ben Hutchings
Import upstream version 6452 |
2458 |
p = desc; |
2459 |
run = 0; |
|
2460 |
for (i = 0; i <= area; i++) { |
|
2461 |
int n = (i < area ? grid[i] : -1); |
|
2462 |
||
2463 |
if (!n) |
|
2464 |
run++; |
|
2465 |
else { |
|
2466 |
if (run) { |
|
2467 |
while (run > 0) { |
|
2468 |
int c = 'a' - 1 + run; |
|
2469 |
if (run > 26) |
|
2470 |
c = 'z'; |
|
2471 |
*p++ = c; |
|
2472 |
run -= c - ('a' - 1); |
|
2473 |
}
|
|
2474 |
} else { |
|
2475 |
/*
|
|
2476 |
* If there's a number in the very top left or
|
|
2477 |
* bottom right, there's no point putting an
|
|
2478 |
* unnecessary _ before or after it.
|
|
2479 |
*/
|
|
2480 |
if (p > desc && n > 0) |
|
2481 |
*p++ = '_'; |
|
2482 |
}
|
|
2483 |
if (n > 0) |
|
2484 |
p += sprintf(p, "%d", n); |
|
2485 |
run = 0; |
|
2486 |
}
|
|
2487 |
}
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2488 |
|
2489 |
if (r == 1) { |
|
2490 |
int currrun = 0; |
|
2491 |
||
2492 |
*p++ = ','; |
|
2493 |
||
2494 |
/*
|
|
2495 |
* Encode the block structure. We do this by encoding
|
|
2496 |
* the pattern of dividing lines: first we iterate
|
|
2497 |
* over the cr*(cr-1) internal vertical grid lines in
|
|
2498 |
* ordinary reading order, then over the cr*(cr-1)
|
|
2499 |
* internal horizontal ones in transposed reading
|
|
2500 |
* order.
|
|
2501 |
*
|
|
2502 |
* We encode the number of non-lines between the
|
|
2503 |
* lines; _ means zero (two adjacent divisions), a
|
|
2504 |
* means 1, ..., y means 25, and z means 25 non-lines
|
|
2505 |
* _and no following line_ (so that za means 26, zb 27
|
|
2506 |
* etc).
|
|
2507 |
*/
|
|
2508 |
for (i = 0; i <= 2*cr*(cr-1); i++) { |
|
2509 |
int p0, p1, edge; |
|
2510 |
||
2511 |
if (i == 2*cr*(cr-1)) { |
|
2512 |
edge = TRUE; /* terminating virtual edge */ |
|
2513 |
} else { |
|
2514 |
if (i < cr*(cr-1)) { |
|
2515 |
y = i/(cr-1); |
|
2516 |
x = i%(cr-1); |
|
2517 |
p0 = y*cr+x; |
|
2518 |
p1 = y*cr+x+1; |
|
2519 |
} else { |
|
2520 |
x = i/(cr-1) - cr; |
|
2521 |
y = i%(cr-1); |
|
2522 |
p0 = y*cr+x; |
|
2523 |
p1 = (y+1)*cr+x; |
|
2524 |
}
|
|
2525 |
edge = (blocks->whichblock[p0] != blocks->whichblock[p1]); |
|
2526 |
}
|
|
2527 |
||
2528 |
if (edge) { |
|
2529 |
while (currrun > 25) |
|
2530 |
*p++ = 'z', currrun -= 25; |
|
2531 |
if (currrun) |
|
2532 |
*p++ = 'a'-1 + currrun; |
|
2533 |
else
|
|
2534 |
*p++ = '_'; |
|
2535 |
currrun = 0; |
|
2536 |
} else |
|
2537 |
currrun++; |
|
2538 |
}
|
|
2539 |
}
|
|
2540 |
||
2541 |
assert(p - desc < 7 * area); |
|
1
by Ben Hutchings
Import upstream version 6452 |
2542 |
*p++ = '\0'; |
2543 |
desc = sresize(desc, p - desc, char); |
|
2544 |
}
|
|
2545 |
||
2546 |
sfree(grid); |
|
2547 |
||
2548 |
return desc; |
|
2549 |
}
|
|
2550 |
||
2551 |
static char *validate_desc(game_params *params, char *desc) |
|
2552 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2553 |
int cr = params->c * params->r, area = cr*cr; |
1
by Ben Hutchings
Import upstream version 6452 |
2554 |
int squares = 0; |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2555 |
int *dsf; |
1
by Ben Hutchings
Import upstream version 6452 |
2556 |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2557 |
while (*desc && *desc != ',') { |
1
by Ben Hutchings
Import upstream version 6452 |
2558 |
int n = *desc++; |
2559 |
if (n >= 'a' && n <= 'z') { |
|
2560 |
squares += n - 'a' + 1; |
|
2561 |
} else if (n == '_') { |
|
2562 |
/* do nothing */; |
|
2563 |
} else if (n > '0' && n <= '9') { |
|
2564 |
int val = atoi(desc-1); |
|
2565 |
if (val < 1 || val > params->c * params->r) |
|
2566 |
return "Out-of-range number in game description"; |
|
2567 |
squares++; |
|
2568 |
while (*desc >= '0' && *desc <= '9') |
|
2569 |
desc++; |
|
2570 |
} else |
|
2571 |
return "Invalid character in game description"; |
|
2572 |
}
|
|
2573 |
||
2574 |
if (squares < area) |
|
2575 |
return "Not enough data to fill grid"; |
|
2576 |
||
2577 |
if (squares > area) |
|
2578 |
return "Too much data to fit in grid"; |
|
2579 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2580 |
if (params->r == 1) { |
2581 |
int pos; |
|
2582 |
||
2583 |
/*
|
|
2584 |
* Now we expect a suffix giving the jigsaw block
|
|
2585 |
* structure. Parse it and validate that it divides the
|
|
2586 |
* grid into the right number of regions which are the
|
|
2587 |
* right size.
|
|
2588 |
*/
|
|
2589 |
if (*desc != ',') |
|
2590 |
return "Expected jigsaw block structure in game description"; |
|
2591 |
pos = 0; |
|
2592 |
||
2593 |
dsf = snew_dsf(area); |
|
2594 |
desc++; |
|
2595 |
||
2596 |
while (*desc) { |
|
2597 |
int c, adv; |
|
2598 |
||
2599 |
if (*desc == '_') |
|
2600 |
c = 0; |
|
2601 |
else if (*desc >= 'a' && *desc <= 'z') |
|
2602 |
c = *desc - 'a' + 1; |
|
2603 |
else { |
|
2604 |
sfree(dsf); |
|
2605 |
return "Invalid character in game description"; |
|
2606 |
}
|
|
2607 |
desc++; |
|
2608 |
||
2609 |
adv = (c != 25); /* 'z' is a special case */ |
|
2610 |
||
2611 |
while (c-- > 0) { |
|
2612 |
int p0, p1; |
|
2613 |
||
2614 |
/*
|
|
2615 |
* Non-edge; merge the two dsf classes on either
|
|
2616 |
* side of it.
|
|
2617 |
*/
|
|
2618 |
if (pos >= 2*cr*(cr-1)) { |
|
2619 |
sfree(dsf); |
|
2620 |
return "Too much data in block structure specification"; |
|
2621 |
} else if (pos < cr*(cr-1)) { |
|
2622 |
int y = pos/(cr-1); |
|
2623 |
int x = pos%(cr-1); |
|
2624 |
p0 = y*cr+x; |
|
2625 |
p1 = y*cr+x+1; |
|
2626 |
} else { |
|
2627 |
int x = pos/(cr-1) - cr; |
|
2628 |
int y = pos%(cr-1); |
|
2629 |
p0 = y*cr+x; |
|
2630 |
p1 = (y+1)*cr+x; |
|
2631 |
}
|
|
2632 |
dsf_merge(dsf, p0, p1); |
|
2633 |
||
2634 |
pos++; |
|
2635 |
}
|
|
2636 |
if (adv) |
|
2637 |
pos++; |
|
2638 |
}
|
|
2639 |
||
2640 |
/*
|
|
2641 |
* When desc is exhausted, we expect to have gone exactly
|
|
2642 |
* one space _past_ the end of the grid, due to the dummy
|
|
2643 |
* edge at the end.
|
|
2644 |
*/
|
|
2645 |
if (pos != 2*cr*(cr-1)+1) { |
|
2646 |
sfree(dsf); |
|
2647 |
return "Not enough data in block structure specification"; |
|
2648 |
}
|
|
2649 |
||
2650 |
/*
|
|
2651 |
* Now we've got our dsf. Verify that it matches
|
|
2652 |
* expectations.
|
|
2653 |
*/
|
|
2654 |
{
|
|
2655 |
int *canons, *counts; |
|
2656 |
int i, j, c, ncanons = 0; |
|
2657 |
||
2658 |
canons = snewn(cr, int); |
|
2659 |
counts = snewn(cr, int); |
|
2660 |
||
2661 |
for (i = 0; i < area; i++) { |
|
2662 |
j = dsf_canonify(dsf, i); |
|
2663 |
||
2664 |
for (c = 0; c < ncanons; c++) |
|
2665 |
if (canons[c] == j) { |
|
2666 |
counts[c]++; |
|
2667 |
if (counts[c] > cr) { |
|
2668 |
sfree(dsf); |
|
2669 |
sfree(canons); |
|
2670 |
sfree(counts); |
|
2671 |
return "A jigsaw block is too big"; |
|
2672 |
}
|
|
2673 |
break; |
|
2674 |
}
|
|
2675 |
||
2676 |
if (c == ncanons) { |
|
2677 |
if (ncanons >= cr) { |
|
2678 |
sfree(dsf); |
|
2679 |
sfree(canons); |
|
2680 |
sfree(counts); |
|
2681 |
return "Too many distinct jigsaw blocks"; |
|
2682 |
}
|
|
2683 |
canons[ncanons] = j; |
|
2684 |
counts[ncanons] = 1; |
|
2685 |
ncanons++; |
|
2686 |
}
|
|
2687 |
}
|
|
2688 |
||
2689 |
/*
|
|
2690 |
* If we've managed to get through that loop without
|
|
2691 |
* tripping either of the error conditions, then we
|
|
2692 |
* must have partitioned the entire grid into at most
|
|
2693 |
* cr blocks of at most cr squares each; therefore we
|
|
2694 |
* must have _exactly_ cr blocks of _exactly_ cr
|
|
2695 |
* squares each. I'll verify that by assertion just in
|
|
2696 |
* case something has gone horribly wrong, but it
|
|
2697 |
* shouldn't have been able to happen by duff input,
|
|
2698 |
* only by a bug in the above code.
|
|
2699 |
*/
|
|
2700 |
assert(ncanons == cr); |
|
2701 |
for (c = 0; c < ncanons; c++) |
|
2702 |
assert(counts[c] == cr); |
|
2703 |
||
2704 |
sfree(canons); |
|
2705 |
sfree(counts); |
|
2706 |
}
|
|
2707 |
||
2708 |
sfree(dsf); |
|
2709 |
} else { |
|
2710 |
if (*desc) |
|
2711 |
return "Unexpected jigsaw block structure in game description"; |
|
2712 |
}
|
|
2713 |
||
1
by Ben Hutchings
Import upstream version 6452 |
2714 |
return NULL; |
2715 |
}
|
|
2716 |
||
2717 |
static game_state *new_game(midend *me, game_params *params, char *desc) |
|
2718 |
{
|
|
2719 |
game_state *state = snew(game_state); |
|
2720 |
int c = params->c, r = params->r, cr = c*r, area = cr * cr; |
|
2721 |
int i; |
|
2722 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2723 |
state->cr = cr; |
2724 |
state->xtype = params->xtype; |
|
1
by Ben Hutchings
Import upstream version 6452 |
2725 |
|
2726 |
state->grid = snewn(area, digit); |
|
2727 |
state->pencil = snewn(area * cr, unsigned char); |
|
2728 |
memset(state->pencil, 0, area * cr); |
|
2729 |
state->immutable = snewn(area, unsigned char); |
|
2730 |
memset(state->immutable, FALSE, area); |
|
2731 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2732 |
state->blocks = snew(struct block_structure); |
2733 |
state->blocks->c = c; state->blocks->r = r; |
|
2734 |
state->blocks->refcount = 1; |
|
2735 |
state->blocks->whichblock = snewn(area*2, int); |
|
2736 |
state->blocks->blocks = snewn(cr, int *); |
|
2737 |
for (i = 0; i < cr; i++) |
|
2738 |
state->blocks->blocks[i] = state->blocks->whichblock + area + i*cr; |
|
2739 |
#ifdef STANDALONE_SOLVER
|
|
2740 |
state->blocks->blocknames = (char **)smalloc(cr*(sizeof(char *)+80)); |
|
2741 |
#endif
|
|
2742 |
||
1
by Ben Hutchings
Import upstream version 6452 |
2743 |
state->completed = state->cheated = FALSE; |
2744 |
||
2745 |
i = 0; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2746 |
while (*desc && *desc != ',') { |
1
by Ben Hutchings
Import upstream version 6452 |
2747 |
int n = *desc++; |
2748 |
if (n >= 'a' && n <= 'z') { |
|
2749 |
int run = n - 'a' + 1; |
|
2750 |
assert(i + run <= area); |
|
2751 |
while (run-- > 0) |
|
2752 |
state->grid[i++] = 0; |
|
2753 |
} else if (n == '_') { |
|
2754 |
/* do nothing */; |
|
2755 |
} else if (n > '0' && n <= '9') { |
|
2756 |
assert(i < area); |
|
2757 |
state->immutable[i] = TRUE; |
|
2758 |
state->grid[i++] = atoi(desc-1); |
|
2759 |
while (*desc >= '0' && *desc <= '9') |
|
2760 |
desc++; |
|
2761 |
} else { |
|
2762 |
assert(!"We can't get here"); |
|
2763 |
}
|
|
2764 |
}
|
|
2765 |
assert(i == area); |
|
2766 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2767 |
if (r == 1) { |
2768 |
int pos = 0; |
|
2769 |
int *dsf; |
|
2770 |
int nb; |
|
2771 |
||
2772 |
assert(*desc == ','); |
|
2773 |
||
2774 |
dsf = snew_dsf(area); |
|
2775 |
desc++; |
|
2776 |
||
2777 |
while (*desc) { |
|
2778 |
int c, adv; |
|
2779 |
||
2780 |
if (*desc == '_') |
|
2781 |
c = 0; |
|
2782 |
else if (*desc >= 'a' && *desc <= 'z') |
|
2783 |
c = *desc - 'a' + 1; |
|
2784 |
else
|
|
2785 |
assert(!"Shouldn't get here"); |
|
2786 |
desc++; |
|
2787 |
||
2788 |
adv = (c != 25); /* 'z' is a special case */ |
|
2789 |
||
2790 |
while (c-- > 0) { |
|
2791 |
int p0, p1; |
|
2792 |
||
2793 |
/*
|
|
2794 |
* Non-edge; merge the two dsf classes on either
|
|
2795 |
* side of it.
|
|
2796 |
*/
|
|
2797 |
assert(pos < 2*cr*(cr-1)); |
|
2798 |
if (pos < cr*(cr-1)) { |
|
2799 |
int y = pos/(cr-1); |
|
2800 |
int x = pos%(cr-1); |
|
2801 |
p0 = y*cr+x; |
|
2802 |
p1 = y*cr+x+1; |
|
2803 |
} else { |
|
2804 |
int x = pos/(cr-1) - cr; |
|
2805 |
int y = pos%(cr-1); |
|
2806 |
p0 = y*cr+x; |
|
2807 |
p1 = (y+1)*cr+x; |
|
2808 |
}
|
|
2809 |
dsf_merge(dsf, p0, p1); |
|
2810 |
||
2811 |
pos++; |
|
2812 |
}
|
|
2813 |
if (adv) |
|
2814 |
pos++; |
|
2815 |
}
|
|
2816 |
||
2817 |
/*
|
|
2818 |
* When desc is exhausted, we expect to have gone exactly
|
|
2819 |
* one space _past_ the end of the grid, due to the dummy
|
|
2820 |
* edge at the end.
|
|
2821 |
*/
|
|
2822 |
assert(pos == 2*cr*(cr-1)+1); |
|
2823 |
||
2824 |
/*
|
|
2825 |
* Now we've got our dsf. Translate it into a block
|
|
2826 |
* structure.
|
|
2827 |
*/
|
|
2828 |
nb = 0; |
|
2829 |
for (i = 0; i < area; i++) |
|
2830 |
state->blocks->whichblock[i] = -1; |
|
2831 |
for (i = 0; i < area; i++) { |
|
2832 |
int j = dsf_canonify(dsf, i); |
|
2833 |
if (state->blocks->whichblock[j] < 0) |
|
2834 |
state->blocks->whichblock[j] = nb++; |
|
2835 |
state->blocks->whichblock[i] = state->blocks->whichblock[j]; |
|
2836 |
}
|
|
2837 |
assert(nb == cr); |
|
2838 |
||
2839 |
sfree(dsf); |
|
2840 |
} else { |
|
2841 |
int x, y; |
|
2842 |
||
2843 |
assert(!*desc); |
|
2844 |
||
2845 |
for (y = 0; y < cr; y++) |
|
2846 |
for (x = 0; x < cr; x++) |
|
2847 |
state->blocks->whichblock[y*cr+x] = (y/c) * c + (x/r); |
|
2848 |
}
|
|
2849 |
||
2850 |
/*
|
|
2851 |
* Having sorted out whichblock[], set up the block index arrays.
|
|
2852 |
*/
|
|
2853 |
for (i = 0; i < cr; i++) |
|
2854 |
state->blocks->blocks[i][cr-1] = 0; |
|
2855 |
for (i = 0; i < area; i++) { |
|
2856 |
int b = state->blocks->whichblock[i]; |
|
2857 |
int j = state->blocks->blocks[b][cr-1]++; |
|
2858 |
assert(j < cr); |
|
2859 |
state->blocks->blocks[b][j] = i; |
|
2860 |
}
|
|
2861 |
||
2862 |
#ifdef STANDALONE_SOLVER
|
|
2863 |
/*
|
|
2864 |
* Set up the block names for solver diagnostic output.
|
|
2865 |
*/
|
|
2866 |
{
|
|
2867 |
char *p = (char *)(state->blocks->blocknames + cr); |
|
2868 |
||
2869 |
if (r == 1) { |
|
2870 |
for (i = 0; i < cr; i++) |
|
2871 |
state->blocks->blocknames[i] = NULL; |
|
2872 |
||
2873 |
for (i = 0; i < area; i++) { |
|
2874 |
int j = state->blocks->whichblock[i]; |
|
2875 |
if (!state->blocks->blocknames[j]) { |
|
2876 |
state->blocks->blocknames[j] = p; |
|
2877 |
p += 1 + sprintf(p, "starting at (%d,%d)", |
|
2878 |
1 + i%cr, 1 + i/cr); |
|
2879 |
}
|
|
2880 |
}
|
|
2881 |
} else { |
|
2882 |
int bx, by; |
|
2883 |
for (by = 0; by < r; by++) |
|
2884 |
for (bx = 0; bx < c; bx++) { |
|
2885 |
state->blocks->blocknames[by*c+bx] = p; |
|
2886 |
p += 1 + sprintf(p, "(%d,%d)", bx+1, by+1); |
|
2887 |
}
|
|
2888 |
}
|
|
2889 |
assert(p - (char *)state->blocks->blocknames < cr*(sizeof(char *)+80)); |
|
2890 |
for (i = 0; i < cr; i++) |
|
2891 |
assert(state->blocks->blocknames[i]); |
|
2892 |
}
|
|
2893 |
#endif
|
|
2894 |
||
1
by Ben Hutchings
Import upstream version 6452 |
2895 |
return state; |
2896 |
}
|
|
2897 |
||
2898 |
static game_state *dup_game(game_state *state) |
|
2899 |
{
|
|
2900 |
game_state *ret = snew(game_state); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2901 |
int cr = state->cr, area = cr * cr; |
2902 |
||
2903 |
ret->cr = state->cr; |
|
2904 |
ret->xtype = state->xtype; |
|
2905 |
||
2906 |
ret->blocks = state->blocks; |
|
2907 |
ret->blocks->refcount++; |
|
1
by Ben Hutchings
Import upstream version 6452 |
2908 |
|
2909 |
ret->grid = snewn(area, digit); |
|
2910 |
memcpy(ret->grid, state->grid, area); |
|
2911 |
||
2912 |
ret->pencil = snewn(area * cr, unsigned char); |
|
2913 |
memcpy(ret->pencil, state->pencil, area * cr); |
|
2914 |
||
2915 |
ret->immutable = snewn(area, unsigned char); |
|
2916 |
memcpy(ret->immutable, state->immutable, area); |
|
2917 |
||
2918 |
ret->completed = state->completed; |
|
2919 |
ret->cheated = state->cheated; |
|
2920 |
||
2921 |
return ret; |
|
2922 |
}
|
|
2923 |
||
2924 |
static void free_game(game_state *state) |
|
2925 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2926 |
if (--state->blocks->refcount == 0) { |
2927 |
sfree(state->blocks->whichblock); |
|
2928 |
sfree(state->blocks->blocks); |
|
2929 |
#ifdef STANDALONE_SOLVER
|
|
2930 |
sfree(state->blocks->blocknames); |
|
2931 |
#endif
|
|
2932 |
sfree(state->blocks); |
|
2933 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
2934 |
sfree(state->immutable); |
2935 |
sfree(state->pencil); |
|
2936 |
sfree(state->grid); |
|
2937 |
sfree(state); |
|
2938 |
}
|
|
2939 |
||
2940 |
static char *solve_game(game_state *state, game_state *currstate, |
|
2941 |
char *ai, char **error) |
|
2942 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2943 |
int cr = state->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
2944 |
char *ret; |
2945 |
digit *grid; |
|
2946 |
int solve_ret; |
|
2947 |
||
2948 |
/*
|
|
2949 |
* If we already have the solution in ai, save ourselves some
|
|
2950 |
* time.
|
|
2951 |
*/
|
|
2952 |
if (ai) |
|
2953 |
return dupstr(ai); |
|
2954 |
||
2955 |
grid = snewn(cr*cr, digit); |
|
2956 |
memcpy(grid, state->grid, cr*cr); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2957 |
solve_ret = solver(cr, state->blocks, state->xtype, grid, DIFF_RECURSIVE); |
1
by Ben Hutchings
Import upstream version 6452 |
2958 |
|
2959 |
*error = NULL; |
|
2960 |
||
2961 |
if (solve_ret == DIFF_IMPOSSIBLE) |
|
2962 |
*error = "No solution exists for this puzzle"; |
|
2963 |
else if (solve_ret == DIFF_AMBIGUOUS) |
|
2964 |
*error = "Multiple solutions exist for this puzzle"; |
|
2965 |
||
2966 |
if (*error) { |
|
2967 |
sfree(grid); |
|
2968 |
return NULL; |
|
2969 |
}
|
|
2970 |
||
2971 |
ret = encode_solve_move(cr, grid); |
|
2972 |
||
2973 |
sfree(grid); |
|
2974 |
||
2975 |
return ret; |
|
2976 |
}
|
|
2977 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2978 |
static char *grid_text_format(int cr, struct block_structure *blocks, |
2979 |
int xtype, digit *grid) |
|
1
by Ben Hutchings
Import upstream version 6452 |
2980 |
{
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2981 |
int vmod, hmod; |
1
by Ben Hutchings
Import upstream version 6452 |
2982 |
int x, y; |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
2983 |
int totallen, linelen, nlines; |
2984 |
char *ret, *p, ch; |
|
2985 |
||
2986 |
/*
|
|
2987 |
* For non-jigsaw Sudoku, we format in the way we always have,
|
|
2988 |
* by having the digits unevenly spaced so that the dividing
|
|
2989 |
* lines can fit in:
|
|
2990 |
*
|
|
2991 |
* . . | . .
|
|
2992 |
* . . | . .
|
|
2993 |
* ----+----
|
|
2994 |
* . . | . .
|
|
2995 |
* . . | . .
|
|
2996 |
*
|
|
2997 |
* For jigsaw puzzles, however, we must leave space between
|
|
2998 |
* _all_ pairs of digits for an optional dividing line, so we
|
|
2999 |
* have to move to the rather ugly
|
|
3000 |
*
|
|
3001 |
* . . . .
|
|
3002 |
* ------+------
|
|
3003 |
* . . | . .
|
|
3004 |
* +---+
|
|
3005 |
* . . | . | .
|
|
3006 |
* ------+ |
|
|
3007 |
* . . . | .
|
|
3008 |
*
|
|
3009 |
* We deal with both cases using the same formatting code; we
|
|
3010 |
* simply invent a vmod value such that there's a vertical
|
|
3011 |
* dividing line before column i iff i is divisible by vmod
|
|
3012 |
* (so it's r in the first case and 1 in the second), and hmod
|
|
3013 |
* likewise for horizontal dividing lines.
|
|
3014 |
*/
|
|
3015 |
||
3016 |
if (blocks->r != 1) { |
|
3017 |
vmod = blocks->r; |
|
3018 |
hmod = blocks->c; |
|
3019 |
} else { |
|
3020 |
vmod = hmod = 1; |
|
3021 |
}
|
|
3022 |
||
3023 |
/*
|
|
3024 |
* Line length: we have cr digits, each with a space after it,
|
|
3025 |
* and (cr-1)/vmod dividing lines, each with a space after it.
|
|
3026 |
* The final space is replaced by a newline, but that doesn't
|
|
3027 |
* affect the length.
|
|
3028 |
*/
|
|
3029 |
linelen = 2*(cr + (cr-1)/vmod); |
|
3030 |
||
3031 |
/*
|
|
3032 |
* Number of lines: we have cr rows of digits, and (cr-1)/hmod
|
|
3033 |
* dividing rows.
|
|
3034 |
*/
|
|
3035 |
nlines = cr + (cr-1)/hmod; |
|
3036 |
||
3037 |
/*
|
|
3038 |
* Allocate the space.
|
|
3039 |
*/
|
|
3040 |
totallen = linelen * nlines; |
|
3041 |
ret = snewn(totallen+1, char); /* leave room for terminating NUL */ |
|
3042 |
||
3043 |
/*
|
|
3044 |
* Write the text.
|
|
3045 |
*/
|
|
1
by Ben Hutchings
Import upstream version 6452 |
3046 |
p = ret; |
3047 |
for (y = 0; y < cr; y++) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3048 |
/*
|
3049 |
* Row of digits.
|
|
3050 |
*/
|
|
3051 |
for (x = 0; x < cr; x++) { |
|
3052 |
/*
|
|
3053 |
* Digit.
|
|
3054 |
*/
|
|
3055 |
digit d = grid[y*cr+x]; |
|
3056 |
||
3057 |
if (d == 0) { |
|
3058 |
/*
|
|
3059 |
* Empty space: we usually write a dot, but we'll
|
|
3060 |
* highlight spaces on the X-diagonals (in X mode)
|
|
3061 |
* by using underscores instead.
|
|
3062 |
*/
|
|
3063 |
if (xtype && (ondiag0(y*cr+x) || ondiag1(y*cr+x))) |
|
3064 |
ch = '_'; |
|
3065 |
else
|
|
3066 |
ch = '.'; |
|
3067 |
} else if (d <= 9) { |
|
3068 |
ch = '0' + d; |
|
3069 |
} else { |
|
3070 |
ch = 'a' + d-10; |
|
3071 |
}
|
|
3072 |
||
3073 |
*p++ = ch; |
|
3074 |
if (x == cr-1) { |
|
3075 |
*p++ = '\n'; |
|
3076 |
continue; |
|
3077 |
}
|
|
3078 |
*p++ = ' '; |
|
3079 |
||
3080 |
if ((x+1) % vmod) |
|
3081 |
continue; |
|
3082 |
||
3083 |
/*
|
|
3084 |
* Optional dividing line.
|
|
3085 |
*/
|
|
3086 |
if (blocks->whichblock[y*cr+x] != blocks->whichblock[y*cr+x+1]) |
|
3087 |
ch = '|'; |
|
3088 |
else
|
|
3089 |
ch = ' '; |
|
3090 |
*p++ = ch; |
|
3091 |
*p++ = ' '; |
|
3092 |
}
|
|
3093 |
if (y == cr-1 || (y+1) % hmod) |
|
3094 |
continue; |
|
3095 |
||
3096 |
/*
|
|
3097 |
* Dividing row.
|
|
3098 |
*/
|
|
3099 |
for (x = 0; x < cr; x++) { |
|
3100 |
int dwid; |
|
3101 |
int tl, tr, bl, br; |
|
3102 |
||
3103 |
/*
|
|
3104 |
* Division between two squares. This varies
|
|
3105 |
* complicatedly in length.
|
|
3106 |
*/
|
|
3107 |
dwid = 2; /* digit and its following space */ |
|
3108 |
if (x == cr-1) |
|
3109 |
dwid--; /* no following space at end of line */ |
|
3110 |
if (x > 0 && x % vmod == 0) |
|
3111 |
dwid++; /* preceding space after a divider */ |
|
3112 |
||
3113 |
if (blocks->whichblock[y*cr+x] != blocks->whichblock[(y+1)*cr+x]) |
|
3114 |
ch = '-'; |
|
3115 |
else
|
|
3116 |
ch = ' '; |
|
3117 |
||
3118 |
while (dwid-- > 0) |
|
3119 |
*p++ = ch; |
|
3120 |
||
3121 |
if (x == cr-1) { |
|
3122 |
*p++ = '\n'; |
|
3123 |
break; |
|
3124 |
}
|
|
3125 |
||
3126 |
if ((x+1) % vmod) |
|
3127 |
continue; |
|
3128 |
||
3129 |
/*
|
|
3130 |
* Corner square. This is:
|
|
3131 |
* - a space if all four surrounding squares are in
|
|
3132 |
* the same block
|
|
3133 |
* - a vertical line if the two left ones are in one
|
|
3134 |
* block and the two right in another
|
|
3135 |
* - a horizontal line if the two top ones are in one
|
|
3136 |
* block and the two bottom in another
|
|
3137 |
* - a plus sign in all other cases. (If we had a
|
|
3138 |
* richer character set available we could break
|
|
3139 |
* this case up further by doing fun things with
|
|
3140 |
* line-drawing T-pieces.)
|
|
3141 |
*/
|
|
3142 |
tl = blocks->whichblock[y*cr+x]; |
|
3143 |
tr = blocks->whichblock[y*cr+x+1]; |
|
3144 |
bl = blocks->whichblock[(y+1)*cr+x]; |
|
3145 |
br = blocks->whichblock[(y+1)*cr+x+1]; |
|
3146 |
||
3147 |
if (tl == tr && tr == bl && bl == br) |
|
3148 |
ch = ' '; |
|
3149 |
else if (tl == bl && tr == br) |
|
3150 |
ch = '|'; |
|
3151 |
else if (tl == tr && bl == br) |
|
3152 |
ch = '-'; |
|
3153 |
else
|
|
3154 |
ch = '+'; |
|
3155 |
||
3156 |
*p++ = ch; |
|
3157 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
3158 |
}
|
3159 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3160 |
assert(p - ret == totallen); |
1
by Ben Hutchings
Import upstream version 6452 |
3161 |
*p = '\0'; |
3162 |
return ret; |
|
3163 |
}
|
|
3164 |
||
3165 |
static char *game_text_format(game_state *state) |
|
3166 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3167 |
return grid_text_format(state->cr, state->blocks, state->xtype, |
3168 |
state->grid); |
|
1
by Ben Hutchings
Import upstream version 6452 |
3169 |
}
|
3170 |
||
3171 |
struct game_ui { |
|
3172 |
/*
|
|
3173 |
* These are the coordinates of the currently highlighted
|
|
3174 |
* square on the grid, or -1,-1 if there isn't one. When there
|
|
3175 |
* is, pressing a valid number or letter key or Space will
|
|
3176 |
* enter that number or letter in the grid.
|
|
3177 |
*/
|
|
3178 |
int hx, hy; |
|
3179 |
/*
|
|
3180 |
* This indicates whether the current highlight is a
|
|
3181 |
* pencil-mark one or a real one.
|
|
3182 |
*/
|
|
3183 |
int hpencil; |
|
3184 |
};
|
|
3185 |
||
3186 |
static game_ui *new_ui(game_state *state) |
|
3187 |
{
|
|
3188 |
game_ui *ui = snew(game_ui); |
|
3189 |
||
3190 |
ui->hx = ui->hy = -1; |
|
3191 |
ui->hpencil = 0; |
|
3192 |
||
3193 |
return ui; |
|
3194 |
}
|
|
3195 |
||
3196 |
static void free_ui(game_ui *ui) |
|
3197 |
{
|
|
3198 |
sfree(ui); |
|
3199 |
}
|
|
3200 |
||
3201 |
static char *encode_ui(game_ui *ui) |
|
3202 |
{
|
|
3203 |
return NULL; |
|
3204 |
}
|
|
3205 |
||
3206 |
static void decode_ui(game_ui *ui, char *encoding) |
|
3207 |
{
|
|
3208 |
}
|
|
3209 |
||
3210 |
static void game_changed_state(game_ui *ui, game_state *oldstate, |
|
3211 |
game_state *newstate) |
|
3212 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3213 |
int cr = newstate->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3214 |
/*
|
3215 |
* We prevent pencil-mode highlighting of a filled square. So
|
|
3216 |
* if the user has just filled in a square which we had a
|
|
3217 |
* pencil-mode highlight in (by Undo, or by Redo, or by Solve),
|
|
3218 |
* then we cancel the highlight.
|
|
3219 |
*/
|
|
3220 |
if (ui->hx >= 0 && ui->hy >= 0 && ui->hpencil && |
|
3221 |
newstate->grid[ui->hy * cr + ui->hx] != 0) { |
|
3222 |
ui->hx = ui->hy = -1; |
|
3223 |
}
|
|
3224 |
}
|
|
3225 |
||
3226 |
struct game_drawstate { |
|
3227 |
int started; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3228 |
int cr, xtype; |
1
by Ben Hutchings
Import upstream version 6452 |
3229 |
int tilesize; |
3230 |
digit *grid; |
|
3231 |
unsigned char *pencil; |
|
3232 |
unsigned char *hl; |
|
3233 |
/* This is scratch space used within a single call to game_redraw. */
|
|
3234 |
int *entered_items; |
|
3235 |
};
|
|
3236 |
||
3237 |
static char *interpret_move(game_state *state, game_ui *ui, game_drawstate *ds, |
|
3238 |
int x, int y, int button) |
|
3239 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3240 |
int cr = state->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3241 |
int tx, ty; |
3242 |
char buf[80]; |
|
3243 |
||
3244 |
button &= ~MOD_MASK; |
|
3245 |
||
3246 |
tx = (x + TILE_SIZE - BORDER) / TILE_SIZE - 1; |
|
3247 |
ty = (y + TILE_SIZE - BORDER) / TILE_SIZE - 1; |
|
3248 |
||
3249 |
if (tx >= 0 && tx < cr && ty >= 0 && ty < cr) { |
|
3250 |
if (button == LEFT_BUTTON) { |
|
3251 |
if (state->immutable[ty*cr+tx]) { |
|
3252 |
ui->hx = ui->hy = -1; |
|
3253 |
} else if (tx == ui->hx && ty == ui->hy && ui->hpencil == 0) { |
|
3254 |
ui->hx = ui->hy = -1; |
|
3255 |
} else { |
|
3256 |
ui->hx = tx; |
|
3257 |
ui->hy = ty; |
|
3258 |
ui->hpencil = 0; |
|
3259 |
}
|
|
3260 |
return ""; /* UI activity occurred */ |
|
3261 |
}
|
|
3262 |
if (button == RIGHT_BUTTON) { |
|
3263 |
/*
|
|
3264 |
* Pencil-mode highlighting for non filled squares.
|
|
3265 |
*/
|
|
3266 |
if (state->grid[ty*cr+tx] == 0) { |
|
3267 |
if (tx == ui->hx && ty == ui->hy && ui->hpencil) { |
|
3268 |
ui->hx = ui->hy = -1; |
|
3269 |
} else { |
|
3270 |
ui->hpencil = 1; |
|
3271 |
ui->hx = tx; |
|
3272 |
ui->hy = ty; |
|
3273 |
}
|
|
3274 |
} else { |
|
3275 |
ui->hx = ui->hy = -1; |
|
3276 |
}
|
|
3277 |
return ""; /* UI activity occurred */ |
|
3278 |
}
|
|
3279 |
}
|
|
3280 |
||
3281 |
if (ui->hx != -1 && ui->hy != -1 && |
|
3282 |
((button >= '1' && button <= '9' && button - '0' <= cr) || |
|
3283 |
(button >= 'a' && button <= 'z' && button - 'a' + 10 <= cr) || |
|
3284 |
(button >= 'A' && button <= 'Z' && button - 'A' + 10 <= cr) || |
|
3285 |
button == ' ' || button == '\010' || button == '\177')) { |
|
3286 |
int n = button - '0'; |
|
3287 |
if (button >= 'A' && button <= 'Z') |
|
3288 |
n = button - 'A' + 10; |
|
3289 |
if (button >= 'a' && button <= 'z') |
|
3290 |
n = button - 'a' + 10; |
|
3291 |
if (button == ' ' || button == '\010' || button == '\177') |
|
3292 |
n = 0; |
|
3293 |
||
3294 |
/*
|
|
3295 |
* Can't overwrite this square. In principle this shouldn't
|
|
3296 |
* happen anyway because we should never have even been
|
|
3297 |
* able to highlight the square, but it never hurts to be
|
|
3298 |
* careful.
|
|
3299 |
*/
|
|
3300 |
if (state->immutable[ui->hy*cr+ui->hx]) |
|
3301 |
return NULL; |
|
3302 |
||
3303 |
/*
|
|
3304 |
* Can't make pencil marks in a filled square. In principle
|
|
3305 |
* this shouldn't happen anyway because we should never
|
|
3306 |
* have even been able to pencil-highlight the square, but
|
|
3307 |
* it never hurts to be careful.
|
|
3308 |
*/
|
|
3309 |
if (ui->hpencil && state->grid[ui->hy*cr+ui->hx]) |
|
3310 |
return NULL; |
|
3311 |
||
3312 |
sprintf(buf, "%c%d,%d,%d", |
|
3313 |
(char)(ui->hpencil && n > 0 ? 'P' : 'R'), ui->hx, ui->hy, n); |
|
3314 |
||
3315 |
ui->hx = ui->hy = -1; |
|
3316 |
||
3317 |
return dupstr(buf); |
|
3318 |
}
|
|
3319 |
||
3320 |
return NULL; |
|
3321 |
}
|
|
3322 |
||
3323 |
static game_state *execute_move(game_state *from, char *move) |
|
3324 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3325 |
int cr = from->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3326 |
game_state *ret; |
3327 |
int x, y, n; |
|
3328 |
||
3329 |
if (move[0] == 'S') { |
|
3330 |
char *p; |
|
3331 |
||
3332 |
ret = dup_game(from); |
|
3333 |
ret->completed = ret->cheated = TRUE; |
|
3334 |
||
3335 |
p = move+1; |
|
3336 |
for (n = 0; n < cr*cr; n++) { |
|
3337 |
ret->grid[n] = atoi(p); |
|
3338 |
||
3339 |
if (!*p || ret->grid[n] < 1 || ret->grid[n] > cr) { |
|
3340 |
free_game(ret); |
|
3341 |
return NULL; |
|
3342 |
}
|
|
3343 |
||
3344 |
while (*p && isdigit((unsigned char)*p)) p++; |
|
3345 |
if (*p == ',') p++; |
|
3346 |
}
|
|
3347 |
||
3348 |
return ret; |
|
3349 |
} else if ((move[0] == 'P' || move[0] == 'R') && |
|
3350 |
sscanf(move+1, "%d,%d,%d", &x, &y, &n) == 3 && |
|
3351 |
x >= 0 && x < cr && y >= 0 && y < cr && n >= 0 && n <= cr) { |
|
3352 |
||
3353 |
ret = dup_game(from); |
|
3354 |
if (move[0] == 'P' && n > 0) { |
|
3355 |
int index = (y*cr+x) * cr + (n-1); |
|
3356 |
ret->pencil[index] = !ret->pencil[index]; |
|
3357 |
} else { |
|
3358 |
ret->grid[y*cr+x] = n; |
|
3359 |
memset(ret->pencil + (y*cr+x)*cr, 0, cr); |
|
3360 |
||
3361 |
/*
|
|
3362 |
* We've made a real change to the grid. Check to see
|
|
3363 |
* if the game has been completed.
|
|
3364 |
*/
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3365 |
if (!ret->completed && check_valid(cr, ret->blocks, ret->xtype, |
3366 |
ret->grid)) { |
|
1
by Ben Hutchings
Import upstream version 6452 |
3367 |
ret->completed = TRUE; |
3368 |
}
|
|
3369 |
}
|
|
3370 |
return ret; |
|
3371 |
} else |
|
3372 |
return NULL; /* couldn't parse move string */ |
|
3373 |
}
|
|
3374 |
||
3375 |
/* ----------------------------------------------------------------------
|
|
3376 |
* Drawing routines.
|
|
3377 |
*/
|
|
3378 |
||
3379 |
#define SIZE(cr) ((cr) * TILE_SIZE + 2*BORDER + 1)
|
|
3380 |
#define GETTILESIZE(cr, w) ( (double)(w-1) / (double)(cr+1) )
|
|
3381 |
||
3382 |
static void game_compute_size(game_params *params, int tilesize, |
|
3383 |
int *x, int *y) |
|
3384 |
{
|
|
3385 |
/* Ick: fake up `ds->tilesize' for macro expansion purposes */
|
|
3386 |
struct { int tilesize; } ads, *ds = &ads; |
|
3387 |
ads.tilesize = tilesize; |
|
3388 |
||
3389 |
*x = SIZE(params->c * params->r); |
|
3390 |
*y = SIZE(params->c * params->r); |
|
3391 |
}
|
|
3392 |
||
3393 |
static void game_set_size(drawing *dr, game_drawstate *ds, |
|
3394 |
game_params *params, int tilesize) |
|
3395 |
{
|
|
3396 |
ds->tilesize = tilesize; |
|
3397 |
}
|
|
3398 |
||
3399 |
static float *game_colours(frontend *fe, int *ncolours) |
|
3400 |
{
|
|
3401 |
float *ret = snewn(3 * NCOLOURS, float); |
|
3402 |
||
3403 |
frontend_default_colour(fe, &ret[COL_BACKGROUND * 3]); |
|
3404 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3405 |
ret[COL_XDIAGONALS * 3 + 0] = 0.9F * ret[COL_BACKGROUND * 3 + 0]; |
3406 |
ret[COL_XDIAGONALS * 3 + 1] = 0.9F * ret[COL_BACKGROUND * 3 + 1]; |
|
3407 |
ret[COL_XDIAGONALS * 3 + 2] = 0.9F * ret[COL_BACKGROUND * 3 + 2]; |
|
3408 |
||
1
by Ben Hutchings
Import upstream version 6452 |
3409 |
ret[COL_GRID * 3 + 0] = 0.0F; |
3410 |
ret[COL_GRID * 3 + 1] = 0.0F; |
|
3411 |
ret[COL_GRID * 3 + 2] = 0.0F; |
|
3412 |
||
3413 |
ret[COL_CLUE * 3 + 0] = 0.0F; |
|
3414 |
ret[COL_CLUE * 3 + 1] = 0.0F; |
|
3415 |
ret[COL_CLUE * 3 + 2] = 0.0F; |
|
3416 |
||
3417 |
ret[COL_USER * 3 + 0] = 0.0F; |
|
3418 |
ret[COL_USER * 3 + 1] = 0.6F * ret[COL_BACKGROUND * 3 + 1]; |
|
3419 |
ret[COL_USER * 3 + 2] = 0.0F; |
|
3420 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3421 |
ret[COL_HIGHLIGHT * 3 + 0] = 0.78F * ret[COL_BACKGROUND * 3 + 0]; |
3422 |
ret[COL_HIGHLIGHT * 3 + 1] = 0.78F * ret[COL_BACKGROUND * 3 + 1]; |
|
3423 |
ret[COL_HIGHLIGHT * 3 + 2] = 0.78F * ret[COL_BACKGROUND * 3 + 2]; |
|
1
by Ben Hutchings
Import upstream version 6452 |
3424 |
|
3425 |
ret[COL_ERROR * 3 + 0] = 1.0F; |
|
3426 |
ret[COL_ERROR * 3 + 1] = 0.0F; |
|
3427 |
ret[COL_ERROR * 3 + 2] = 0.0F; |
|
3428 |
||
3429 |
ret[COL_PENCIL * 3 + 0] = 0.5F * ret[COL_BACKGROUND * 3 + 0]; |
|
3430 |
ret[COL_PENCIL * 3 + 1] = 0.5F * ret[COL_BACKGROUND * 3 + 1]; |
|
3431 |
ret[COL_PENCIL * 3 + 2] = ret[COL_BACKGROUND * 3 + 2]; |
|
3432 |
||
3433 |
*ncolours = NCOLOURS; |
|
3434 |
return ret; |
|
3435 |
}
|
|
3436 |
||
3437 |
static game_drawstate *game_new_drawstate(drawing *dr, game_state *state) |
|
3438 |
{
|
|
3439 |
struct game_drawstate *ds = snew(struct game_drawstate); |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3440 |
int cr = state->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3441 |
|
3442 |
ds->started = FALSE; |
|
3443 |
ds->cr = cr; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3444 |
ds->xtype = state->xtype; |
1
by Ben Hutchings
Import upstream version 6452 |
3445 |
ds->grid = snewn(cr*cr, digit); |
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3446 |
memset(ds->grid, cr+2, cr*cr); |
1
by Ben Hutchings
Import upstream version 6452 |
3447 |
ds->pencil = snewn(cr*cr*cr, digit); |
3448 |
memset(ds->pencil, 0, cr*cr*cr); |
|
3449 |
ds->hl = snewn(cr*cr, unsigned char); |
|
3450 |
memset(ds->hl, 0, cr*cr); |
|
3451 |
ds->entered_items = snewn(cr*cr, int); |
|
3452 |
ds->tilesize = 0; /* not decided yet */ |
|
3453 |
return ds; |
|
3454 |
}
|
|
3455 |
||
3456 |
static void game_free_drawstate(drawing *dr, game_drawstate *ds) |
|
3457 |
{
|
|
3458 |
sfree(ds->hl); |
|
3459 |
sfree(ds->pencil); |
|
3460 |
sfree(ds->grid); |
|
3461 |
sfree(ds->entered_items); |
|
3462 |
sfree(ds); |
|
3463 |
}
|
|
3464 |
||
3465 |
static void draw_number(drawing *dr, game_drawstate *ds, game_state *state, |
|
3466 |
int x, int y, int hl) |
|
3467 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3468 |
int cr = state->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3469 |
int tx, ty; |
3470 |
int cx, cy, cw, ch; |
|
3471 |
char str[2]; |
|
3472 |
||
3473 |
if (ds->grid[y*cr+x] == state->grid[y*cr+x] && |
|
3474 |
ds->hl[y*cr+x] == hl && |
|
3475 |
!memcmp(ds->pencil+(y*cr+x)*cr, state->pencil+(y*cr+x)*cr, cr)) |
|
3476 |
return; /* no change required */ |
|
3477 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3478 |
tx = BORDER + x * TILE_SIZE + 1 + GRIDEXTRA; |
3479 |
ty = BORDER + y * TILE_SIZE + 1 + GRIDEXTRA; |
|
1
by Ben Hutchings
Import upstream version 6452 |
3480 |
|
3481 |
cx = tx; |
|
3482 |
cy = ty; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3483 |
cw = TILE_SIZE-1-2*GRIDEXTRA; |
3484 |
ch = TILE_SIZE-1-2*GRIDEXTRA; |
|
1
by Ben Hutchings
Import upstream version 6452 |
3485 |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3486 |
if (x > 0 && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[y*cr+x-1]) |
3487 |
cx -= GRIDEXTRA, cw += GRIDEXTRA; |
|
3488 |
if (x+1 < cr && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[y*cr+x+1]) |
|
3489 |
cw += GRIDEXTRA; |
|
3490 |
if (y > 0 && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[(y-1)*cr+x]) |
|
3491 |
cy -= GRIDEXTRA, ch += GRIDEXTRA; |
|
3492 |
if (y+1 < cr && state->blocks->whichblock[y*cr+x] == state->blocks->whichblock[(y+1)*cr+x]) |
|
3493 |
ch += GRIDEXTRA; |
|
1
by Ben Hutchings
Import upstream version 6452 |
3494 |
|
3495 |
clip(dr, cx, cy, cw, ch); |
|
3496 |
||
3497 |
/* background needs erasing */
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3498 |
draw_rect(dr, cx, cy, cw, ch, |
3499 |
((hl & 15) == 1 ? COL_HIGHLIGHT : |
|
3500 |
(ds->xtype && (ondiag0(y*cr+x) || ondiag1(y*cr+x))) ? COL_XDIAGONALS : |
|
3501 |
COL_BACKGROUND)); |
|
3502 |
||
3503 |
/*
|
|
3504 |
* Draw the corners of thick lines in corner-adjacent squares,
|
|
3505 |
* which jut into this square by one pixel.
|
|
3506 |
*/
|
|
3507 |
if (x > 0 && y > 0 && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y-1)*cr+x-1]) |
|
3508 |
draw_rect(dr, tx-GRIDEXTRA, ty-GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
|
3509 |
if (x+1 < cr && y > 0 && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y-1)*cr+x+1]) |
|
3510 |
draw_rect(dr, tx+TILE_SIZE-1-2*GRIDEXTRA, ty-GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
|
3511 |
if (x > 0 && y+1 < cr && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y+1)*cr+x-1]) |
|
3512 |
draw_rect(dr, tx-GRIDEXTRA, ty+TILE_SIZE-1-2*GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
|
3513 |
if (x+1 < cr && y+1 < cr && state->blocks->whichblock[y*cr+x] != state->blocks->whichblock[(y+1)*cr+x+1]) |
|
3514 |
draw_rect(dr, tx+TILE_SIZE-1-2*GRIDEXTRA, ty+TILE_SIZE-1-2*GRIDEXTRA, GRIDEXTRA, GRIDEXTRA, COL_GRID); |
|
1
by Ben Hutchings
Import upstream version 6452 |
3515 |
|
3516 |
/* pencil-mode highlight */
|
|
3517 |
if ((hl & 15) == 2) { |
|
3518 |
int coords[6]; |
|
3519 |
coords[0] = cx; |
|
3520 |
coords[1] = cy; |
|
3521 |
coords[2] = cx+cw/2; |
|
3522 |
coords[3] = cy; |
|
3523 |
coords[4] = cx; |
|
3524 |
coords[5] = cy+ch/2; |
|
3525 |
draw_polygon(dr, coords, 3, COL_HIGHLIGHT, COL_HIGHLIGHT); |
|
3526 |
}
|
|
3527 |
||
3528 |
/* new number needs drawing? */
|
|
3529 |
if (state->grid[y*cr+x]) { |
|
3530 |
str[1] = '\0'; |
|
3531 |
str[0] = state->grid[y*cr+x] + '0'; |
|
3532 |
if (str[0] > '9') |
|
3533 |
str[0] += 'a' - ('9'+1); |
|
3534 |
draw_text(dr, tx + TILE_SIZE/2, ty + TILE_SIZE/2, |
|
3535 |
FONT_VARIABLE, TILE_SIZE/2, ALIGN_VCENTRE | ALIGN_HCENTRE, |
|
3536 |
state->immutable[y*cr+x] ? COL_CLUE : (hl & 16) ? COL_ERROR : COL_USER, str); |
|
3537 |
} else { |
|
3538 |
int i, j, npencil; |
|
3539 |
int pw, ph, pmax, fontsize; |
|
3540 |
||
3541 |
/* count the pencil marks required */
|
|
3542 |
for (i = npencil = 0; i < cr; i++) |
|
3543 |
if (state->pencil[(y*cr+x)*cr+i]) |
|
3544 |
npencil++; |
|
3545 |
||
3546 |
/*
|
|
3547 |
* It's not sensible to arrange pencil marks in the same
|
|
3548 |
* layout as the squares within a block, because this leads
|
|
3549 |
* to the font being too small. Instead, we arrange pencil
|
|
3550 |
* marks in the nearest thing we can to a square layout,
|
|
3551 |
* and we adjust the square layout depending on the number
|
|
3552 |
* of pencil marks in the square.
|
|
3553 |
*/
|
|
3554 |
for (pw = 1; pw * pw < npencil; pw++); |
|
3555 |
if (pw < 3) pw = 3; /* otherwise it just looks _silly_ */ |
|
3556 |
ph = (npencil + pw - 1) / pw; |
|
3557 |
if (ph < 2) ph = 2; /* likewise */ |
|
3558 |
pmax = max(pw, ph); |
|
3559 |
fontsize = TILE_SIZE/(pmax*(11-pmax)/8); |
|
3560 |
||
3561 |
for (i = j = 0; i < cr; i++) |
|
3562 |
if (state->pencil[(y*cr+x)*cr+i]) { |
|
3563 |
int dx = j % pw, dy = j / pw; |
|
3564 |
||
3565 |
str[1] = '\0'; |
|
3566 |
str[0] = i + '1'; |
|
3567 |
if (str[0] > '9') |
|
3568 |
str[0] += 'a' - ('9'+1); |
|
3569 |
draw_text(dr, tx + (4*dx+3) * TILE_SIZE / (4*pw+2), |
|
3570 |
ty + (4*dy+3) * TILE_SIZE / (4*ph+2), |
|
3571 |
FONT_VARIABLE, fontsize, |
|
3572 |
ALIGN_VCENTRE | ALIGN_HCENTRE, COL_PENCIL, str); |
|
3573 |
j++; |
|
3574 |
}
|
|
3575 |
}
|
|
3576 |
||
3577 |
unclip(dr); |
|
3578 |
||
3579 |
draw_update(dr, cx, cy, cw, ch); |
|
3580 |
||
3581 |
ds->grid[y*cr+x] = state->grid[y*cr+x]; |
|
3582 |
memcpy(ds->pencil+(y*cr+x)*cr, state->pencil+(y*cr+x)*cr, cr); |
|
3583 |
ds->hl[y*cr+x] = hl; |
|
3584 |
}
|
|
3585 |
||
3586 |
static void game_redraw(drawing *dr, game_drawstate *ds, game_state *oldstate, |
|
3587 |
game_state *state, int dir, game_ui *ui, |
|
3588 |
float animtime, float flashtime) |
|
3589 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3590 |
int cr = state->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3591 |
int x, y; |
3592 |
||
3593 |
if (!ds->started) { |
|
3594 |
/*
|
|
3595 |
* The initial contents of the window are not guaranteed
|
|
3596 |
* and can vary with front ends. To be on the safe side,
|
|
3597 |
* all games should start by drawing a big
|
|
3598 |
* background-colour rectangle covering the whole window.
|
|
3599 |
*/
|
|
3600 |
draw_rect(dr, 0, 0, SIZE(cr), SIZE(cr), COL_BACKGROUND); |
|
3601 |
||
3602 |
/*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3603 |
* Draw the grid. We draw it as a big thick rectangle of
|
3604 |
* COL_GRID initially; individual calls to draw_number()
|
|
3605 |
* will poke the right-shaped holes in it.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
3606 |
*/
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3607 |
draw_rect(dr, BORDER-GRIDEXTRA, BORDER-GRIDEXTRA, |
3608 |
cr*TILE_SIZE+1+2*GRIDEXTRA, cr*TILE_SIZE+1+2*GRIDEXTRA, |
|
3609 |
COL_GRID); |
|
1
by Ben Hutchings
Import upstream version 6452 |
3610 |
}
|
3611 |
||
3612 |
/*
|
|
3613 |
* This array is used to keep track of rows, columns and boxes
|
|
3614 |
* which contain a number more than once.
|
|
3615 |
*/
|
|
3616 |
for (x = 0; x < cr * cr; x++) |
|
3617 |
ds->entered_items[x] = 0; |
|
3618 |
for (x = 0; x < cr; x++) |
|
3619 |
for (y = 0; y < cr; y++) { |
|
3620 |
digit d = state->grid[y*cr+x]; |
|
3621 |
if (d) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3622 |
int box = state->blocks->whichblock[y*cr+x]; |
3623 |
ds->entered_items[x*cr+d-1] |= ((ds->entered_items[x*cr+d-1] & 1) << 1) | 1; |
|
1
by Ben Hutchings
Import upstream version 6452 |
3624 |
ds->entered_items[y*cr+d-1] |= ((ds->entered_items[y*cr+d-1] & 4) << 1) | 4; |
3625 |
ds->entered_items[box*cr+d-1] |= ((ds->entered_items[box*cr+d-1] & 16) << 1) | 16; |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3626 |
if (ds->xtype) { |
3627 |
if (ondiag0(y*cr+x)) |
|
3628 |
ds->entered_items[d-1] |= ((ds->entered_items[d-1] & 64) << 1) | 64; |
|
3629 |
if (ondiag1(y*cr+x)) |
|
3630 |
ds->entered_items[cr+d-1] |= ((ds->entered_items[cr+d-1] & 64) << 1) | 64; |
|
3631 |
}
|
|
1
by Ben Hutchings
Import upstream version 6452 |
3632 |
}
|
3633 |
}
|
|
3634 |
||
3635 |
/*
|
|
3636 |
* Draw any numbers which need redrawing.
|
|
3637 |
*/
|
|
3638 |
for (x = 0; x < cr; x++) { |
|
3639 |
for (y = 0; y < cr; y++) { |
|
3640 |
int highlight = 0; |
|
3641 |
digit d = state->grid[y*cr+x]; |
|
3642 |
||
3643 |
if (flashtime > 0 && |
|
3644 |
(flashtime <= FLASH_TIME/3 || |
|
3645 |
flashtime >= FLASH_TIME*2/3)) |
|
3646 |
highlight = 1; |
|
3647 |
||
3648 |
/* Highlight active input areas. */
|
|
3649 |
if (x == ui->hx && y == ui->hy) |
|
3650 |
highlight = ui->hpencil ? 2 : 1; |
|
3651 |
||
3652 |
/* Mark obvious errors (ie, numbers which occur more than once
|
|
3653 |
* in a single row, column, or box). */
|
|
3654 |
if (d && ((ds->entered_items[x*cr+d-1] & 2) || |
|
3655 |
(ds->entered_items[y*cr+d-1] & 8) || |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3656 |
(ds->entered_items[state->blocks->whichblock[y*cr+x]*cr+d-1] & 32) || |
3657 |
(ds->xtype && ((ondiag0(y*cr+x) && (ds->entered_items[d-1] & 128)) || |
|
3658 |
(ondiag1(y*cr+x) && (ds->entered_items[cr+d-1] & 128)))))) |
|
1
by Ben Hutchings
Import upstream version 6452 |
3659 |
highlight |= 16; |
3660 |
||
3661 |
draw_number(dr, ds, state, x, y, highlight); |
|
3662 |
}
|
|
3663 |
}
|
|
3664 |
||
3665 |
/*
|
|
3666 |
* Update the _entire_ grid if necessary.
|
|
3667 |
*/
|
|
3668 |
if (!ds->started) { |
|
3669 |
draw_update(dr, 0, 0, SIZE(cr), SIZE(cr)); |
|
3670 |
ds->started = TRUE; |
|
3671 |
}
|
|
3672 |
}
|
|
3673 |
||
3674 |
static float game_anim_length(game_state *oldstate, game_state *newstate, |
|
3675 |
int dir, game_ui *ui) |
|
3676 |
{
|
|
3677 |
return 0.0F; |
|
3678 |
}
|
|
3679 |
||
3680 |
static float game_flash_length(game_state *oldstate, game_state *newstate, |
|
3681 |
int dir, game_ui *ui) |
|
3682 |
{
|
|
3683 |
if (!oldstate->completed && newstate->completed && |
|
3684 |
!oldstate->cheated && !newstate->cheated) |
|
3685 |
return FLASH_TIME; |
|
3686 |
return 0.0F; |
|
3687 |
}
|
|
3688 |
||
3689 |
static int game_timing_state(game_state *state, game_ui *ui) |
|
3690 |
{
|
|
3691 |
return TRUE; |
|
3692 |
}
|
|
3693 |
||
3694 |
static void game_print_size(game_params *params, float *x, float *y) |
|
3695 |
{
|
|
3696 |
int pw, ph; |
|
3697 |
||
3698 |
/*
|
|
3699 |
* I'll use 9mm squares by default. They should be quite big
|
|
3700 |
* for this game, because players will want to jot down no end
|
|
3701 |
* of pencil marks in the squares.
|
|
3702 |
*/
|
|
3703 |
game_compute_size(params, 900, &pw, &ph); |
|
3704 |
*x = pw / 100.0; |
|
3705 |
*y = ph / 100.0; |
|
3706 |
}
|
|
3707 |
||
3708 |
static void game_print(drawing *dr, game_state *state, int tilesize) |
|
3709 |
{
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3710 |
int cr = state->cr; |
1
by Ben Hutchings
Import upstream version 6452 |
3711 |
int ink = print_mono_colour(dr, 0); |
3712 |
int x, y; |
|
3713 |
||
3714 |
/* Ick: fake up `ds->tilesize' for macro expansion purposes */
|
|
3715 |
game_drawstate ads, *ds = &ads; |
|
3716 |
game_set_size(dr, ds, NULL, tilesize); |
|
3717 |
||
3718 |
/*
|
|
3719 |
* Border.
|
|
3720 |
*/
|
|
3721 |
print_line_width(dr, 3 * TILE_SIZE / 40); |
|
3722 |
draw_rect_outline(dr, BORDER, BORDER, cr*TILE_SIZE, cr*TILE_SIZE, ink); |
|
3723 |
||
3724 |
/*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3725 |
* Highlight X-diagonal squares.
|
3726 |
*/
|
|
3727 |
if (state->xtype) { |
|
3728 |
int i; |
|
3729 |
int xhighlight = print_grey_colour(dr, 0.90F); |
|
3730 |
||
3731 |
for (i = 0; i < cr; i++) |
|
3732 |
draw_rect(dr, BORDER + i*TILE_SIZE, BORDER + i*TILE_SIZE, |
|
3733 |
TILE_SIZE, TILE_SIZE, xhighlight); |
|
3734 |
for (i = 0; i < cr; i++) |
|
3735 |
if (i*2 != cr-1) /* avoid redoing centre square, just for fun */ |
|
3736 |
draw_rect(dr, BORDER + i*TILE_SIZE, |
|
3737 |
BORDER + (cr-1-i)*TILE_SIZE, |
|
3738 |
TILE_SIZE, TILE_SIZE, xhighlight); |
|
3739 |
}
|
|
3740 |
||
3741 |
/*
|
|
3742 |
* Main grid.
|
|
1
by Ben Hutchings
Import upstream version 6452 |
3743 |
*/
|
3744 |
for (x = 1; x < cr; x++) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3745 |
print_line_width(dr, TILE_SIZE / 40); |
1
by Ben Hutchings
Import upstream version 6452 |
3746 |
draw_line(dr, BORDER+x*TILE_SIZE, BORDER, |
3747 |
BORDER+x*TILE_SIZE, BORDER+cr*TILE_SIZE, ink); |
|
3748 |
}
|
|
3749 |
for (y = 1; y < cr; y++) { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3750 |
print_line_width(dr, TILE_SIZE / 40); |
1
by Ben Hutchings
Import upstream version 6452 |
3751 |
draw_line(dr, BORDER, BORDER+y*TILE_SIZE, |
3752 |
BORDER+cr*TILE_SIZE, BORDER+y*TILE_SIZE, ink); |
|
3753 |
}
|
|
3754 |
||
3755 |
/*
|
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
3756 |
* Thick lines between cells. In order to do this using the
|
3757 |
* line-drawing rather than rectangle-drawing API (so as to
|
|
3758 |
* get line thicknesses to scale correctly) and yet have
|
|
3759 |
* correctly mitred joins between lines, we must do this by
|
|
3760 |
* tracing the boundary of each sub-block and drawing it in
|
|
3761 |
* one go as a single polygon.
|
|
3762 |
*/
|
|
3763 |
{
|
|
3764 |
int *coords; |
|
3765 |
int bi, i, n; |
|
3766 |
int x, y, dx, dy, sx, sy, sdx, sdy; |
|
3767 |
||
3768 |
print_line_width(dr, 3 * TILE_SIZE / 40); |
|
3769 |
||
3770 |
/*
|
|
3771 |
* Maximum perimeter of a k-omino is 2k+2. (Proof: start
|
|
3772 |
* with k unconnected squares, with total perimeter 4k.
|
|
3773 |
* Now repeatedly join two disconnected components
|
|
3774 |
* together into a larger one; every time you do so you
|
|
3775 |
* remove at least two unit edges, and you require k-1 of
|
|
3776 |
* these operations to create a single connected piece, so
|
|
3777 |
* you must have at most 4k-2(k-1) = 2k+2 unit edges left
|
|
3778 |
* afterwards.)
|
|
3779 |
*/
|
|
3780 |
coords = snewn(4*cr+4, int); /* 2k+2 points, 2 coords per point */ |
|
3781 |
||
3782 |
/*
|
|
3783 |
* Iterate over all the blocks.
|
|
3784 |
*/
|
|
3785 |
for (bi = 0; bi < cr; bi++) { |
|
3786 |
||
3787 |
/*
|
|
3788 |
* For each block, find a starting square within it
|
|
3789 |
* which has a boundary at the left.
|
|
3790 |
*/
|
|
3791 |
for (i = 0; i < cr; i++) { |
|
3792 |
int j = state->blocks->blocks[bi][i]; |
|
3793 |
if (j % cr == 0 || state->blocks->whichblock[j-1] != bi) |
|
3794 |
break; |
|
3795 |
}
|
|
3796 |
assert(i < cr); /* every block must have _some_ leftmost square */ |
|
3797 |
x = state->blocks->blocks[bi][i] % cr; |
|
3798 |
y = state->blocks->blocks[bi][i] / cr; |
|
3799 |
dx = -1; |
|
3800 |
dy = 0; |
|
3801 |
||
3802 |
/*
|
|
3803 |
* Now begin tracing round the perimeter. At all
|
|
3804 |
* times, (x,y) describes some square within the
|
|
3805 |
* block, and (x+dx,y+dy) is some adjacent square
|
|
3806 |
* outside it; so the edge between those two squares
|
|
3807 |
* is always an edge of the block.
|
|
3808 |
*/
|
|
3809 |
sx = x, sy = y, sdx = dx, sdy = dy; /* save starting position */ |
|
3810 |
n = 0; |
|
3811 |
do { |
|
3812 |
int cx, cy, tx, ty, nin; |
|
3813 |
||
3814 |
/*
|
|
3815 |
* To begin with, record the point at one end of
|
|
3816 |
* the edge. To do this, we translate (x,y) down
|
|
3817 |
* and right by half a unit (so they're describing
|
|
3818 |
* a point in the _centre_ of the square) and then
|
|
3819 |
* translate back again in a manner rotated by dy
|
|
3820 |
* and dx.
|
|
3821 |
*/
|
|
3822 |
assert(n < 2*cr+2); |
|
3823 |
cx = ((2*x+1) + dy + dx) / 2; |
|
3824 |
cy = ((2*y+1) - dx + dy) / 2; |
|
3825 |
coords[2*n+0] = BORDER + cx * TILE_SIZE; |
|
3826 |
coords[2*n+1] = BORDER + cy * TILE_SIZE; |
|
3827 |
n++; |
|
3828 |
||
3829 |
/*
|
|
3830 |
* Now advance to the next edge, by looking at the
|
|
3831 |
* two squares beyond it. If they're both outside
|
|
3832 |
* the block, we turn right (by leaving x,y the
|
|
3833 |
* same and rotating dx,dy clockwise); if they're
|
|
3834 |
* both inside, we turn left (by rotating dx,dy
|
|
3835 |
* anticlockwise and contriving to leave x+dx,y+dy
|
|
3836 |
* unchanged); if one of each, we go straight on
|
|
3837 |
* (and may enforce by assertion that they're one
|
|
3838 |
* of each the _right_ way round).
|
|
3839 |
*/
|
|
3840 |
nin = 0; |
|
3841 |
tx = x - dy + dx; |
|
3842 |
ty = y + dx + dy; |
|
3843 |
nin += (tx >= 0 && tx < cr && ty >= 0 && ty < cr && |
|
3844 |
state->blocks->whichblock[ty*cr+tx] == bi); |
|
3845 |
tx = x - dy; |
|
3846 |
ty = y + dx; |
|
3847 |
nin += (tx >= 0 && tx < cr && ty >= 0 && ty < cr && |
|
3848 |
state->blocks->whichblock[ty*cr+tx] == bi); |
|
3849 |
if (nin == 0) { |
|
3850 |
/*
|
|
3851 |
* Turn right.
|
|
3852 |
*/
|
|
3853 |
int tmp; |
|
3854 |
tmp = dx; |
|
3855 |
dx = -dy; |
|
3856 |
dy = tmp; |
|
3857 |
} else if (nin == 2) { |
|
3858 |
/*
|
|
3859 |
* Turn left.
|
|
3860 |
*/
|
|
3861 |
int tmp; |
|
3862 |
||
3863 |
x += dx; |
|
3864 |
y += dy; |
|
3865 |
||
3866 |
tmp = dx; |
|
3867 |
dx = dy; |
|
3868 |
dy = -tmp; |
|
3869 |
||
3870 |
x -= dx; |
|
3871 |
y -= dy; |
|
3872 |
} else { |
|
3873 |
/*
|
|
3874 |
* Go straight on.
|
|
3875 |
*/
|
|
3876 |
x -= dy; |
|
3877 |
y += dx; |
|
3878 |
}
|
|
3879 |
||
3880 |
/*
|
|
3881 |
* Now enforce by assertion that we ended up
|
|
3882 |
* somewhere sensible.
|
|
3883 |
*/
|
|
3884 |
assert(x >= 0 && x < cr && y >= 0 && y < cr && |
|
3885 |
state->blocks->whichblock[y*cr+x] == bi); |
|
3886 |
assert(x+dx < 0 || x+dx >= cr || y+dy < 0 || y+dy >= cr || |
|
3887 |
state->blocks->whichblock[(y+dy)*cr+(x+dx)] != bi); |
|
3888 |
||
3889 |
} while (x != sx || y != sy || dx != sdx || dy != sdy); |
|
3890 |
||
3891 |
/*
|
|
3892 |
* That's our polygon; now draw it.
|
|
3893 |
*/
|
|
3894 |
draw_polygon(dr, coords, n, -1, ink); |
|
3895 |
}
|
|
3896 |
||
3897 |
sfree(coords); |
|
3898 |
}
|
|
3899 |
||
3900 |
/*
|
|
1
by Ben Hutchings
Import upstream version 6452 |
3901 |
* Numbers.
|
3902 |
*/
|
|
3903 |
for (y = 0; y < cr; y++) |
|
3904 |
for (x = 0; x < cr; x++) |
|
3905 |
if (state->grid[y*cr+x]) { |
|
3906 |
char str[2]; |
|
3907 |
str[1] = '\0'; |
|
3908 |
str[0] = state->grid[y*cr+x] + '0'; |
|
3909 |
if (str[0] > '9') |
|
3910 |
str[0] += 'a' - ('9'+1); |
|
3911 |
draw_text(dr, BORDER + x*TILE_SIZE + TILE_SIZE/2, |
|
3912 |
BORDER + y*TILE_SIZE + TILE_SIZE/2, |
|
3913 |
FONT_VARIABLE, TILE_SIZE/2, |
|
3914 |
ALIGN_VCENTRE | ALIGN_HCENTRE, ink, str); |
|
3915 |
}
|
|
3916 |
}
|
|
3917 |
||
3918 |
#ifdef COMBINED
|
|
3919 |
#define thegame solo
|
|
3920 |
#endif
|
|
3921 |
||
3922 |
const struct game thegame = { |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
3923 |
"Solo", "games.solo", "solo", |
1
by Ben Hutchings
Import upstream version 6452 |
3924 |
default_params, |
3925 |
game_fetch_preset, |
|
3926 |
decode_params, |
|
3927 |
encode_params, |
|
3928 |
free_params, |
|
3929 |
dup_params, |
|
3930 |
TRUE, game_configure, custom_params, |
|
3931 |
validate_params, |
|
3932 |
new_game_desc, |
|
3933 |
validate_desc, |
|
3934 |
new_game, |
|
3935 |
dup_game, |
|
3936 |
free_game, |
|
3937 |
TRUE, solve_game, |
|
3938 |
TRUE, game_text_format, |
|
3939 |
new_ui, |
|
3940 |
free_ui, |
|
3941 |
encode_ui, |
|
3942 |
decode_ui, |
|
3943 |
game_changed_state, |
|
3944 |
interpret_move, |
|
3945 |
execute_move, |
|
3946 |
PREFERRED_TILE_SIZE, game_compute_size, game_set_size, |
|
3947 |
game_colours, |
|
3948 |
game_new_drawstate, |
|
3949 |
game_free_drawstate, |
|
3950 |
game_redraw, |
|
3951 |
game_anim_length, |
|
3952 |
game_flash_length, |
|
3953 |
TRUE, FALSE, game_print_size, game_print, |
|
3954 |
FALSE, /* wants_statusbar */ |
|
3955 |
FALSE, game_timing_state, |
|
1.1.4
by Ben Hutchings
Import upstream version 7446 |
3956 |
REQUIRE_RBUTTON | REQUIRE_NUMPAD, /* flags */ |
1
by Ben Hutchings
Import upstream version 6452 |
3957 |
};
|
3958 |
||
3959 |
#ifdef STANDALONE_SOLVER
|
|
3960 |
||
3961 |
int main(int argc, char **argv) |
|
3962 |
{
|
|
3963 |
game_params *p; |
|
3964 |
game_state *s; |
|
3965 |
char *id = NULL, *desc, *err; |
|
3966 |
int grade = FALSE; |
|
3967 |
int ret; |
|
3968 |
||
3969 |
while (--argc > 0) { |
|
3970 |
char *p = *++argv; |
|
3971 |
if (!strcmp(p, "-v")) { |
|
3972 |
solver_show_working = TRUE; |
|
3973 |
} else if (!strcmp(p, "-g")) { |
|
3974 |
grade = TRUE; |
|
3975 |
} else if (*p == '-') { |
|
3976 |
fprintf(stderr, "%s: unrecognised option `%s'\n", argv[0], p); |
|
3977 |
return 1; |
|
3978 |
} else { |
|
3979 |
id = p; |
|
3980 |
}
|
|
3981 |
}
|
|
3982 |
||
3983 |
if (!id) { |
|
3984 |
fprintf(stderr, "usage: %s [-g | -v] <game_id>\n", argv[0]); |
|
3985 |
return 1; |
|
3986 |
}
|
|
3987 |
||
3988 |
desc = strchr(id, ':'); |
|
3989 |
if (!desc) { |
|
3990 |
fprintf(stderr, "%s: game id expects a colon in it\n", argv[0]); |
|
3991 |
return 1; |
|
3992 |
}
|
|
3993 |
*desc++ = '\0'; |
|
3994 |
||
3995 |
p = default_params(); |
|
3996 |
decode_params(p, id); |
|
3997 |
err = validate_desc(p, desc); |
|
3998 |
if (err) { |
|
3999 |
fprintf(stderr, "%s: %s\n", argv[0], err); |
|
4000 |
return 1; |
|
4001 |
}
|
|
4002 |
s = new_game(NULL, p, desc); |
|
4003 |
||
1.2.2
by Ben Hutchings
Import upstream version 7983 |
4004 |
ret = solver(s->cr, s->blocks, s->xtype, s->grid, DIFF_RECURSIVE); |
1
by Ben Hutchings
Import upstream version 6452 |
4005 |
if (grade) { |
4006 |
printf("Difficulty rating: %s\n", |
|
4007 |
ret==DIFF_BLOCK ? "Trivial (blockwise positional elimination only)": |
|
4008 |
ret==DIFF_SIMPLE ? "Basic (row/column/number elimination required)": |
|
4009 |
ret==DIFF_INTERSECT ? "Intermediate (intersectional analysis required)": |
|
4010 |
ret==DIFF_SET ? "Advanced (set elimination required)": |
|
4011 |
ret==DIFF_EXTREME ? "Extreme (complex non-recursive techniques required)": |
|
4012 |
ret==DIFF_RECURSIVE ? "Unreasonable (guesswork and backtracking required)": |
|
4013 |
ret==DIFF_AMBIGUOUS ? "Ambiguous (multiple solutions exist)": |
|
4014 |
ret==DIFF_IMPOSSIBLE ? "Impossible (no solution exists)": |
|
4015 |
"INTERNAL ERROR: unrecognised difficulty code"); |
|
4016 |
} else { |
|
1.2.2
by Ben Hutchings
Import upstream version 7983 |
4017 |
printf("%s\n", grid_text_format(s->cr, s->blocks, s->xtype, s->grid)); |
1
by Ben Hutchings
Import upstream version 6452 |
4018 |
}
|
4019 |
||
4020 |
return 0; |
|
4021 |
}
|
|
4022 |
||
4023 |
#endif
|