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pickmove.c revision 1.17
      1 /*	$NetBSD: pickmove.c,v 1.17 2009/06/04 06:41:50 dholland Exp $	*/
      2 
      3 /*
      4  * Copyright (c) 1994
      5  *	The Regents of the University of California.  All rights reserved.
      6  *
      7  * This code is derived from software contributed to Berkeley by
      8  * Ralph Campbell.
      9  *
     10  * Redistribution and use in source and binary forms, with or without
     11  * modification, are permitted provided that the following conditions
     12  * are met:
     13  * 1. Redistributions of source code must retain the above copyright
     14  *    notice, this list of conditions and the following disclaimer.
     15  * 2. Redistributions in binary form must reproduce the above copyright
     16  *    notice, this list of conditions and the following disclaimer in the
     17  *    documentation and/or other materials provided with the distribution.
     18  * 3. Neither the name of the University nor the names of its contributors
     19  *    may be used to endorse or promote products derived from this software
     20  *    without specific prior written permission.
     21  *
     22  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     23  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     24  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     25  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     26  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     27  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     28  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     29  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     30  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     31  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     32  * SUCH DAMAGE.
     33  */
     34 
     35 #include <sys/cdefs.h>
     36 #ifndef lint
     37 #if 0
     38 static char sccsid[] = "@(#)pickmove.c	8.2 (Berkeley) 5/3/95";
     39 #else
     40 __RCSID("$NetBSD: pickmove.c,v 1.17 2009/06/04 06:41:50 dholland Exp $");
     41 #endif
     42 #endif /* not lint */
     43 
     44 #include <stdlib.h>
     45 #include <string.h>
     46 #include <curses.h>
     47 #include <limits.h>
     48 
     49 #include "gomoku.h"
     50 
     51 #define BITS_PER_INT	(sizeof(int) * CHAR_BIT)
     52 #define MAPSZ		(BAREA / BITS_PER_INT)
     53 
     54 #define BIT_SET(a, b)	((a)[(b)/BITS_PER_INT] |= (1 << ((b) % BITS_PER_INT)))
     55 #define BIT_CLR(a, b)	((a)[(b)/BITS_PER_INT] &= ~(1 << ((b) % BITS_PER_INT)))
     56 #define BIT_TEST(a, b)	((a)[(b)/BITS_PER_INT] & (1 << ((b) % BITS_PER_INT)))
     57 
     58 struct	combostr *hashcombos[FAREA];	/* hash list for finding duplicates */
     59 struct	combostr *sortcombos;		/* combos at higher levels */
     60 int	combolen;			/* number of combos in sortcombos */
     61 int	nextcolor;			/* color of next move */
     62 int	elistcnt;			/* count of struct elist allocated */
     63 int	combocnt;			/* count of struct combostr allocated */
     64 int	forcemap[MAPSZ];		/* map for blocking <1,x> combos */
     65 int	tmpmap[MAPSZ];			/* map for blocking <1,x> combos */
     66 int	nforce;				/* count of opponent <1,x> combos */
     67 
     68 int
     69 pickmove(int us)
     70 {
     71 	struct spotstr *sp, *sp1, *sp2;
     72 	union comboval *Ocp, *Tcp;
     73 	int m;
     74 
     75 	/* first move is easy */
     76 	if (movenum == 1)
     77 		return (PT(K,10));
     78 
     79 	/* initialize all the board values */
     80 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
     81 		sp->s_combo[BLACK].s = MAXCOMBO + 1;
     82 		sp->s_combo[WHITE].s = MAXCOMBO + 1;
     83 		sp->s_level[BLACK] = 255;
     84 		sp->s_level[WHITE] = 255;
     85 		sp->s_nforce[BLACK] = 0;
     86 		sp->s_nforce[WHITE] = 0;
     87 		sp->s_flags &= ~(FFLAGALL | MFLAGALL);
     88 	}
     89 	nforce = 0;
     90 	memset(forcemap, 0, sizeof(forcemap));
     91 
     92 	/* compute new values */
     93 	nextcolor = us;
     94 	scanframes(BLACK);
     95 	scanframes(WHITE);
     96 
     97 	/* find the spot with the highest value */
     98 	for (sp = sp1 = sp2 = &board[PT(T,19)]; --sp >= &board[PT(A,1)]; ) {
     99 		if (sp->s_occ != EMPTY)
    100 			continue;
    101 		if (debug && (sp->s_combo[BLACK].c.a == 1 ||
    102 		    sp->s_combo[WHITE].c.a == 1)) {
    103 			debuglog("- %s %x/%d %d %x/%d %d %d", stoc(sp - board),
    104 				sp->s_combo[BLACK].s, sp->s_level[BLACK],
    105 				sp->s_nforce[BLACK],
    106 				sp->s_combo[WHITE].s, sp->s_level[WHITE],
    107 				sp->s_nforce[WHITE],
    108 				sp->s_wval);
    109 		}
    110 		/* pick the best black move */
    111 		if (better(sp, sp1, BLACK))
    112 			sp1 = sp;
    113 		/* pick the best white move */
    114 		if (better(sp, sp2, WHITE))
    115 			sp2 = sp;
    116 	}
    117 
    118 	if (debug) {
    119 		debuglog("B %s %x/%d %d %x/%d %d %d",
    120 			stoc(sp1 - board),
    121 			sp1->s_combo[BLACK].s, sp1->s_level[BLACK],
    122 			sp1->s_nforce[BLACK],
    123 			sp1->s_combo[WHITE].s, sp1->s_level[WHITE],
    124 			sp1->s_nforce[WHITE], sp1->s_wval);
    125 		debuglog("W %s %x/%d %d %x/%d %d %d",
    126 			stoc(sp2 - board),
    127 			sp2->s_combo[WHITE].s, sp2->s_level[WHITE],
    128 			sp2->s_nforce[WHITE],
    129 			sp2->s_combo[BLACK].s, sp2->s_level[BLACK],
    130 			sp2->s_nforce[BLACK], sp2->s_wval);
    131 		/*
    132 		 * Check for more than one force that can't
    133 		 * all be blocked with one move.
    134 		 */
    135 		sp = (us == BLACK) ? sp2 : sp1;
    136 		m = sp - board;
    137 		if (sp->s_combo[!us].c.a == 1 && !BIT_TEST(forcemap, m))
    138 			debuglog("*** Can't be blocked");
    139 	}
    140 	if (us == BLACK) {
    141 		Ocp = &sp1->s_combo[BLACK];
    142 		Tcp = &sp2->s_combo[WHITE];
    143 	} else {
    144 		Tcp = &sp1->s_combo[BLACK];
    145 		Ocp = &sp2->s_combo[WHITE];
    146 		sp = sp1;
    147 		sp1 = sp2;
    148 		sp2 = sp;
    149 	}
    150 	/*
    151 	 * Block their combo only if we have to (i.e., if they are one move
    152 	 * away from completing a force and we don't have a force that
    153 	 * we can complete which takes fewer moves to win).
    154 	 */
    155 	if (Tcp->c.a <= 1 && (Ocp->c.a > 1 ||
    156 	    Tcp->c.a + Tcp->c.b < Ocp->c.a + Ocp->c.b))
    157 		return (sp2 - board);
    158 	return (sp1 - board);
    159 }
    160 
    161 /*
    162  * Return true if spot 'sp' is better than spot 'sp1' for color 'us'.
    163  */
    164 int
    165 better(const struct spotstr *sp, const struct spotstr *sp1, int us)
    166 {
    167 	int them, s, s1;
    168 
    169 	if (sp->s_combo[us].s < sp1->s_combo[us].s)
    170 		return (1);
    171 	if (sp->s_combo[us].s != sp1->s_combo[us].s)
    172 		return (0);
    173 	if (sp->s_level[us] < sp1->s_level[us])
    174 		return (1);
    175 	if (sp->s_level[us] != sp1->s_level[us])
    176 		return (0);
    177 	if (sp->s_nforce[us] > sp1->s_nforce[us])
    178 		return (1);
    179 	if (sp->s_nforce[us] != sp1->s_nforce[us])
    180 		return (0);
    181 
    182 	them = !us;
    183 	s = sp - board;
    184 	s1 = sp1 - board;
    185 	if (BIT_TEST(forcemap, s) && !BIT_TEST(forcemap, s1))
    186 		return (1);
    187 	if (!BIT_TEST(forcemap, s) && BIT_TEST(forcemap, s1))
    188 		return (0);
    189 	if (sp->s_combo[them].s < sp1->s_combo[them].s)
    190 		return (1);
    191 	if (sp->s_combo[them].s != sp1->s_combo[them].s)
    192 		return (0);
    193 	if (sp->s_level[them] < sp1->s_level[them])
    194 		return (1);
    195 	if (sp->s_level[them] != sp1->s_level[them])
    196 		return (0);
    197 	if (sp->s_nforce[them] > sp1->s_nforce[them])
    198 		return (1);
    199 	if (sp->s_nforce[them] != sp1->s_nforce[them])
    200 		return (0);
    201 
    202 	if (sp->s_wval > sp1->s_wval)
    203 		return (1);
    204 	if (sp->s_wval != sp1->s_wval)
    205 		return (0);
    206 
    207 #ifdef SVR4
    208 	return (rand() & 1);
    209 #else
    210 	return (random() & 1);
    211 #endif
    212 }
    213 
    214 int	curcolor;	/* implicit parameter to makecombo() */
    215 int	curlevel;	/* implicit parameter to makecombo() */
    216 
    217 /*
    218  * Scan the sorted list of non-empty frames and
    219  * update the minimum combo values for each empty spot.
    220  * Also, try to combine frames to find more complex (chained) moves.
    221  */
    222 void
    223 scanframes(int color)
    224 {
    225 	struct combostr *cbp, *ecbp;
    226 	struct spotstr *sp;
    227 	union comboval *cp;
    228 	struct elist *ep, *nep;
    229 	int i, r, d, n;
    230 	union comboval cb;
    231 
    232 	curcolor = color;
    233 
    234 	/* check for empty list of frames */
    235 	cbp = sortframes[color];
    236 	if (cbp == (struct combostr *)0)
    237 		return;
    238 
    239 	/* quick check for four in a row */
    240 	sp = &board[cbp->c_vertex];
    241 	cb.s = sp->s_fval[color][d = cbp->c_dir].s;
    242 	if (cb.s < 0x101) {
    243 		d = dd[d];
    244 		for (i = 5 + cb.c.b; --i >= 0; sp += d) {
    245 			if (sp->s_occ != EMPTY)
    246 				continue;
    247 			sp->s_combo[color].s = cb.s;
    248 			sp->s_level[color] = 1;
    249 		}
    250 		return;
    251 	}
    252 
    253 	/*
    254 	 * Update the minimum combo value for each spot in the frame
    255 	 * and try making all combinations of two frames intersecting at
    256 	 * an empty spot.
    257 	 */
    258 	n = combolen;
    259 	ecbp = cbp;
    260 	do {
    261 		sp = &board[cbp->c_vertex];
    262 		cp = &sp->s_fval[color][r = cbp->c_dir];
    263 		d = dd[r];
    264 		if (cp->c.b) {
    265 			/*
    266 			 * Since this is the first spot of an open ended
    267 			 * frame, we treat it as a closed frame.
    268 			 */
    269 			cb.c.a = cp->c.a + 1;
    270 			cb.c.b = 0;
    271 			if (cb.s < sp->s_combo[color].s) {
    272 				sp->s_combo[color].s = cb.s;
    273 				sp->s_level[color] = 1;
    274 			}
    275 			/*
    276 			 * Try combining other frames that intersect
    277 			 * at this spot.
    278 			 */
    279 			makecombo2(cbp, sp, 0, cb.s);
    280 			if (cp->s != 0x101)
    281 				cb.s = cp->s;
    282 			else if (color != nextcolor)
    283 				memset(tmpmap, 0, sizeof(tmpmap));
    284 			sp += d;
    285 			i = 1;
    286 		} else {
    287 			cb.s = cp->s;
    288 			i = 0;
    289 		}
    290 		for (; i < 5; i++, sp += d) {	/* for each spot */
    291 			if (sp->s_occ != EMPTY)
    292 				continue;
    293 			if (cp->s < sp->s_combo[color].s) {
    294 				sp->s_combo[color].s = cp->s;
    295 				sp->s_level[color] = 1;
    296 			}
    297 			if (cp->s == 0x101) {
    298 				sp->s_nforce[color]++;
    299 				if (color != nextcolor) {
    300 					n = sp - board;
    301 					BIT_SET(tmpmap, n);
    302 				}
    303 			}
    304 			/*
    305 			 * Try combining other frames that intersect
    306 			 * at this spot.
    307 			 */
    308 			makecombo2(cbp, sp, i, cb.s);
    309 		}
    310 		if (cp->s == 0x101 && color != nextcolor) {
    311 			if (nforce == 0)
    312 				memcpy(forcemap, tmpmap, sizeof(tmpmap));
    313 			else {
    314 				for (i = 0; (unsigned int)i < MAPSZ; i++)
    315 					forcemap[i] &= tmpmap[i];
    316 			}
    317 		}
    318 		/* mark frame as having been processed */
    319 		board[cbp->c_vertex].s_flags |= MFLAG << r;
    320 	} while ((cbp = cbp->c_next) != ecbp);
    321 
    322 	/*
    323 	 * Try to make new 3rd level combos, 4th level, etc.
    324 	 * Limit the search depth early in the game.
    325 	 */
    326 	d = 2;
    327 	while (d <= ((movenum + 1) >> 1) && combolen > n) {
    328 		if (debug) {
    329 			debuglog("%cL%d %d %d %d", "BW"[color],
    330 				d, combolen - n, combocnt, elistcnt);
    331 			refresh();
    332 		}
    333 		n = combolen;
    334 		addframes(d);
    335 		d++;
    336 	}
    337 
    338 	/* scan for combos at empty spots */
    339 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
    340 		for (ep = sp->s_empty; ep; ep = nep) {
    341 			cbp = ep->e_combo;
    342 			if (cbp->c_combo.s <= sp->s_combo[color].s) {
    343 				if (cbp->c_combo.s != sp->s_combo[color].s) {
    344 					sp->s_combo[color].s = cbp->c_combo.s;
    345 					sp->s_level[color] = cbp->c_nframes;
    346 				} else if (cbp->c_nframes < sp->s_level[color])
    347 					sp->s_level[color] = cbp->c_nframes;
    348 			}
    349 			nep = ep->e_next;
    350 			free(ep);
    351 			elistcnt--;
    352 		}
    353 		sp->s_empty = (struct elist *)0;
    354 		for (ep = sp->s_nempty; ep; ep = nep) {
    355 			cbp = ep->e_combo;
    356 			if (cbp->c_combo.s <= sp->s_combo[color].s) {
    357 				if (cbp->c_combo.s != sp->s_combo[color].s) {
    358 					sp->s_combo[color].s = cbp->c_combo.s;
    359 					sp->s_level[color] = cbp->c_nframes;
    360 				} else if (cbp->c_nframes < sp->s_level[color])
    361 					sp->s_level[color] = cbp->c_nframes;
    362 			}
    363 			nep = ep->e_next;
    364 			free(ep);
    365 			elistcnt--;
    366 		}
    367 		sp->s_nempty = (struct elist *)0;
    368 	}
    369 
    370 	/* remove old combos */
    371 	if ((cbp = sortcombos) != (struct combostr *)0) {
    372 		struct combostr *ncbp;
    373 
    374 		/* scan the list */
    375 		ecbp = cbp;
    376 		do {
    377 			ncbp = cbp->c_next;
    378 			free(cbp);
    379 			combocnt--;
    380 		} while ((cbp = ncbp) != ecbp);
    381 		sortcombos = (struct combostr *)0;
    382 	}
    383 	combolen = 0;
    384 
    385 #ifdef DEBUG
    386 	if (combocnt) {
    387 		debuglog("scanframes: %c combocnt %d", "BW"[color],
    388 			combocnt);
    389 		whatsup(0);
    390 	}
    391 	if (elistcnt) {
    392 		debuglog("scanframes: %c elistcnt %d", "BW"[color],
    393 			elistcnt);
    394 		whatsup(0);
    395 	}
    396 #endif
    397 }
    398 
    399 /*
    400  * Compute all level 2 combos of frames intersecting spot 'osp'
    401  * within the frame 'ocbp' and combo value 's'.
    402  */
    403 void
    404 makecombo2(struct combostr *ocbp, struct spotstr *osp, int off, int s)
    405 {
    406 	struct spotstr *fsp;
    407 	struct combostr *ncbp;
    408 	int f, r, d, c;
    409 	int baseB, fcnt, emask, bmask, n;
    410 	union comboval ocb, fcb;
    411 	struct combostr **scbpp, *fcbp;
    412 	char tmp[128];
    413 
    414 	/* try to combine a new frame with those found so far */
    415 	ocb.s = s;
    416 	baseB = ocb.c.a + ocb.c.b - 1;
    417 	fcnt = ocb.c.a - 2;
    418 	emask = fcnt ? ((ocb.c.b ? 0x1E : 0x1F) & ~(1 << off)) : 0;
    419 	for (r = 4; --r >= 0; ) {			/* for each direction */
    420 	    /* don't include frames that overlap in the same direction */
    421 	    if (r == ocbp->c_dir)
    422 		continue;
    423 	    d = dd[r];
    424 	    /*
    425 	     * Frame A combined with B is the same value as B combined with A
    426 	     * so skip frames that have already been processed (MFLAG).
    427 	     * Also skip blocked frames (BFLAG) and frames that are <1,x>
    428 	     * since combining another frame with it isn't valid.
    429 	     */
    430 	    bmask = (BFLAG | FFLAG | MFLAG) << r;
    431 	    fsp = osp;
    432 	    for (f = 0; f < 5; f++, fsp -= d) {		/* for each frame */
    433 		if (fsp->s_occ == BORDER)
    434 		    break;
    435 		if (fsp->s_flags & bmask)
    436 		    continue;
    437 
    438 		/* don't include frames of the wrong color */
    439 		fcb.s = fsp->s_fval[curcolor][r].s;
    440 		if (fcb.c.a >= MAXA)
    441 		    continue;
    442 
    443 		/*
    444 		 * Get the combo value for this frame.
    445 		 * If this is the end point of the frame,
    446 		 * use the closed ended value for the frame.
    447 		 */
    448 		if ((f == 0 && fcb.c.b) || fcb.s == 0x101) {
    449 		    fcb.c.a++;
    450 		    fcb.c.b = 0;
    451 		}
    452 
    453 		/* compute combo value */
    454 		c = fcb.c.a + ocb.c.a - 3;
    455 		if (c > 4)
    456 		    continue;
    457 		n = fcb.c.a + fcb.c.b - 1;
    458 		if (baseB < n)
    459 		    n = baseB;
    460 
    461 		/* make a new combo! */
    462 		ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
    463 		    2 * sizeof(struct combostr *));
    464 		if (ncbp == NULL)
    465 		    panic("Out of memory!");
    466 		scbpp = (struct combostr **)(ncbp + 1);
    467 		fcbp = fsp->s_frame[r];
    468 		if (ocbp < fcbp) {
    469 		    scbpp[0] = ocbp;
    470 		    scbpp[1] = fcbp;
    471 		} else {
    472 		    scbpp[0] = fcbp;
    473 		    scbpp[1] = ocbp;
    474 		}
    475 		ncbp->c_combo.c.a = c;
    476 		ncbp->c_combo.c.b = n;
    477 		ncbp->c_link[0] = ocbp;
    478 		ncbp->c_link[1] = fcbp;
    479 		ncbp->c_linkv[0].s = ocb.s;
    480 		ncbp->c_linkv[1].s = fcb.s;
    481 		ncbp->c_voff[0] = off;
    482 		ncbp->c_voff[1] = f;
    483 		ncbp->c_vertex = osp - board;
    484 		ncbp->c_nframes = 2;
    485 		ncbp->c_dir = 0;
    486 		ncbp->c_frameindex = 0;
    487 		ncbp->c_flags = (ocb.c.b) ? C_OPEN_0 : 0;
    488 		if (fcb.c.b)
    489 		    ncbp->c_flags |= C_OPEN_1;
    490 		ncbp->c_framecnt[0] = fcnt;
    491 		ncbp->c_emask[0] = emask;
    492 		ncbp->c_framecnt[1] = fcb.c.a - 2;
    493 		ncbp->c_emask[1] = ncbp->c_framecnt[1] ?
    494 		    ((fcb.c.b ? 0x1E : 0x1F) & ~(1 << f)) : 0;
    495 		combocnt++;
    496 
    497 		if ((c == 1 && debug > 1) || debug > 3) {
    498 		    debuglog("%c c %d %d m %x %x o %d %d",
    499 			"bw"[curcolor],
    500 			ncbp->c_framecnt[0], ncbp->c_framecnt[1],
    501 			ncbp->c_emask[0], ncbp->c_emask[1],
    502 			ncbp->c_voff[0], ncbp->c_voff[1]);
    503 		    printcombo(ncbp, tmp, sizeof(tmp));
    504 		    debuglog("%s", tmp);
    505 		}
    506 		if (c > 1) {
    507 		    /* record the empty spots that will complete this combo */
    508 		    makeempty(ncbp);
    509 
    510 		    /* add the new combo to the end of the list */
    511 		    appendcombo(ncbp, curcolor);
    512 		} else {
    513 		    updatecombo(ncbp, curcolor);
    514 		    free(ncbp);
    515 		    combocnt--;
    516 		}
    517 #ifdef DEBUG
    518 		if (c == 1 && debug > 1 || debug > 5) {
    519 		    markcombo(ncbp);
    520 		    bdisp();
    521 		    whatsup(0);
    522 		    clearcombo(ncbp, 0);
    523 		}
    524 #endif /* DEBUG */
    525 	    }
    526 	}
    527 }
    528 
    529 /*
    530  * Scan the sorted list of frames and try to add a frame to
    531  * combinations of 'level' number of frames.
    532  */
    533 void
    534 addframes(int level)
    535 {
    536 	struct combostr *cbp, *ecbp;
    537 	struct spotstr *sp, *fsp;
    538 	struct elist *ep, *nep;
    539 	int i, r, d;
    540 	struct combostr **cbpp, *pcbp;
    541 	union comboval fcb, cb;
    542 
    543 	curlevel = level;
    544 
    545 	/* scan for combos at empty spots */
    546 	i = curcolor;
    547 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
    548 		for (ep = sp->s_empty; ep; ep = nep) {
    549 			cbp = ep->e_combo;
    550 			if (cbp->c_combo.s <= sp->s_combo[i].s) {
    551 				if (cbp->c_combo.s != sp->s_combo[i].s) {
    552 					sp->s_combo[i].s = cbp->c_combo.s;
    553 					sp->s_level[i] = cbp->c_nframes;
    554 				} else if (cbp->c_nframes < sp->s_level[i])
    555 					sp->s_level[i] = cbp->c_nframes;
    556 			}
    557 			nep = ep->e_next;
    558 			free(ep);
    559 			elistcnt--;
    560 		}
    561 		sp->s_empty = sp->s_nempty;
    562 		sp->s_nempty = (struct elist *)0;
    563 	}
    564 
    565 	/* try to add frames to the uncompleted combos at level curlevel */
    566 	cbp = ecbp = sortframes[curcolor];
    567 	do {
    568 		fsp = &board[cbp->c_vertex];
    569 		r = cbp->c_dir;
    570 		/* skip frames that are part of a <1,x> combo */
    571 		if (fsp->s_flags & (FFLAG << r))
    572 			continue;
    573 
    574 		/*
    575 		 * Don't include <1,x> combo frames,
    576 		 * treat it as a closed three in a row instead.
    577 		 */
    578 		fcb.s = fsp->s_fval[curcolor][r].s;
    579 		if (fcb.s == 0x101)
    580 			fcb.s = 0x200;
    581 
    582 		/*
    583 		 * If this is an open ended frame, use
    584 		 * the combo value with the end closed.
    585 		 */
    586 		if (fsp->s_occ == EMPTY) {
    587 			if (fcb.c.b) {
    588 				cb.c.a = fcb.c.a + 1;
    589 				cb.c.b = 0;
    590 			} else
    591 				cb.s = fcb.s;
    592 			makecombo(cbp, fsp, 0, cb.s);
    593 		}
    594 
    595 		/*
    596 		 * The next four spots are handled the same for both
    597 		 * open and closed ended frames.
    598 		 */
    599 		d = dd[r];
    600 		sp = fsp + d;
    601 		for (i = 1; i < 5; i++, sp += d) {
    602 			if (sp->s_occ != EMPTY)
    603 				continue;
    604 			makecombo(cbp, sp, i, fcb.s);
    605 		}
    606 	} while ((cbp = cbp->c_next) != ecbp);
    607 
    608 	/* put all the combos in the hash list on the sorted list */
    609 	cbpp = &hashcombos[FAREA];
    610 	do {
    611 		cbp = *--cbpp;
    612 		if (cbp == (struct combostr *)0)
    613 			continue;
    614 		*cbpp = (struct combostr *)0;
    615 		ecbp = sortcombos;
    616 		if (ecbp == (struct combostr *)0)
    617 			sortcombos = cbp;
    618 		else {
    619 			/* append to sort list */
    620 			pcbp = ecbp->c_prev;
    621 			pcbp->c_next = cbp;
    622 			ecbp->c_prev = cbp->c_prev;
    623 			cbp->c_prev->c_next = ecbp;
    624 			cbp->c_prev = pcbp;
    625 		}
    626 	} while (cbpp != hashcombos);
    627 }
    628 
    629 /*
    630  * Compute all level N combos of frames intersecting spot 'osp'
    631  * within the frame 'ocbp' and combo value 's'.
    632  */
    633 void
    634 makecombo(struct combostr *ocbp, struct spotstr *osp, int off, int s)
    635 {
    636 	struct combostr *cbp, *ncbp;
    637 	struct spotstr *sp;
    638 	struct elist *ep;
    639 	int n, c;
    640 	struct elist *nep;
    641 	struct combostr **scbpp;
    642 	int baseB, fcnt, emask, verts;
    643 	union comboval ocb;
    644 	struct overlap_info vertices[1];
    645 	char tmp[128];
    646 
    647 	ocb.s = s;
    648 	baseB = ocb.c.a + ocb.c.b - 1;
    649 	fcnt = ocb.c.a - 2;
    650 	emask = fcnt ? ((ocb.c.b ? 0x1E : 0x1F) & ~(1 << off)) : 0;
    651 	for (ep = osp->s_empty; ep; ep = ep->e_next) {
    652 	    /* check for various kinds of overlap */
    653 	    cbp = ep->e_combo;
    654 	    verts = checkframes(cbp, ocbp, osp, s, vertices);
    655 	    if (verts < 0)
    656 		continue;
    657 
    658 	    /* check to see if this frame forms a valid loop */
    659 	    if (verts) {
    660 		sp = &board[vertices[0].o_intersect];
    661 #ifdef DEBUG
    662 		if (sp->s_occ != EMPTY) {
    663 		    debuglog("loop: %c %s", "BW"[curcolor],
    664 			stoc(sp - board));
    665 		    whatsup(0);
    666 		}
    667 #endif
    668 		/*
    669 		 * It is a valid loop if the intersection spot
    670 		 * of the frame we are trying to attach is one
    671 		 * of the completion spots of the combostr
    672 		 * we are trying to attach the frame to.
    673 		 */
    674 		for (nep = sp->s_empty; nep; nep = nep->e_next) {
    675 		    if (nep->e_combo == cbp)
    676 			goto fnd;
    677 		    if (nep->e_combo->c_nframes < cbp->c_nframes)
    678 			break;
    679 		}
    680 		/* frame overlaps but not at a valid spot */
    681 		continue;
    682 	    fnd:
    683 		;
    684 	    }
    685 
    686 	    /* compute the first half of the combo value */
    687 	    c = cbp->c_combo.c.a + ocb.c.a - verts - 3;
    688 	    if (c > 4)
    689 		continue;
    690 
    691 	    /* compute the second half of the combo value */
    692 	    n = ep->e_fval.c.a + ep->e_fval.c.b - 1;
    693 	    if (baseB < n)
    694 		n = baseB;
    695 
    696 	    /* make a new combo! */
    697 	    ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
    698 		(cbp->c_nframes + 1) * sizeof(struct combostr *));
    699 	    if (ncbp == NULL)
    700 		panic("Out of memory!");
    701 	    scbpp = (struct combostr **)(ncbp + 1);
    702 	    if (sortcombo(scbpp, (struct combostr **)(cbp + 1), ocbp)) {
    703 		free(ncbp);
    704 		continue;
    705 	    }
    706 	    combocnt++;
    707 
    708 	    ncbp->c_combo.c.a = c;
    709 	    ncbp->c_combo.c.b = n;
    710 	    ncbp->c_link[0] = cbp;
    711 	    ncbp->c_link[1] = ocbp;
    712 	    ncbp->c_linkv[1].s = ocb.s;
    713 	    ncbp->c_voff[1] = off;
    714 	    ncbp->c_vertex = osp - board;
    715 	    ncbp->c_nframes = cbp->c_nframes + 1;
    716 	    ncbp->c_flags = ocb.c.b ? C_OPEN_1 : 0;
    717 	    ncbp->c_frameindex = ep->e_frameindex;
    718 	    /*
    719 	     * Update the completion spot mask of the frame we
    720 	     * are attaching 'ocbp' to so the intersection isn't
    721 	     * listed twice.
    722 	     */
    723 	    ncbp->c_framecnt[0] = ep->e_framecnt;
    724 	    ncbp->c_emask[0] = ep->e_emask;
    725 	    if (verts) {
    726 		ncbp->c_flags |= C_LOOP;
    727 		ncbp->c_dir = vertices[0].o_frameindex;
    728 		ncbp->c_framecnt[1] = fcnt - 1;
    729 		if (ncbp->c_framecnt[1]) {
    730 		    n = (vertices[0].o_intersect - ocbp->c_vertex) /
    731 			dd[ocbp->c_dir];
    732 		    ncbp->c_emask[1] = emask & ~(1 << n);
    733 		} else
    734 		    ncbp->c_emask[1] = 0;
    735 		ncbp->c_voff[0] = vertices[0].o_off;
    736 	    } else {
    737 		ncbp->c_dir = 0;
    738 		ncbp->c_framecnt[1] = fcnt;
    739 		ncbp->c_emask[1] = emask;
    740 		ncbp->c_voff[0] = ep->e_off;
    741 	    }
    742 
    743 	    if ((c == 1 && debug > 1) || debug > 3) {
    744 		debuglog("%c v%d i%d d%d c %d %d m %x %x o %d %d",
    745 		    "bw"[curcolor], verts, ncbp->c_frameindex, ncbp->c_dir,
    746 		    ncbp->c_framecnt[0], ncbp->c_framecnt[1],
    747 		    ncbp->c_emask[0], ncbp->c_emask[1],
    748 		    ncbp->c_voff[0], ncbp->c_voff[1]);
    749 		printcombo(ncbp, tmp, sizeof(tmp));
    750 		debuglog("%s", tmp);
    751 	    }
    752 	    if (c > 1) {
    753 		/* record the empty spots that will complete this combo */
    754 		makeempty(ncbp);
    755 		combolen++;
    756 	    } else {
    757 		/* update board values */
    758 		updatecombo(ncbp, curcolor);
    759 	    }
    760 #ifdef DEBUG
    761 	    if (c == 1 && debug > 1 || debug > 4) {
    762 		markcombo(ncbp);
    763 		bdisp();
    764 		whatsup(0);
    765 		clearcombo(ncbp, 0);
    766 	    }
    767 #endif /* DEBUG */
    768 	}
    769 }
    770 
    771 #define MAXDEPTH	100
    772 struct elist	einfo[MAXDEPTH];
    773 struct combostr	*ecombo[MAXDEPTH];	/* separate from elist to save space */
    774 
    775 /*
    776  * Add the combostr 'ocbp' to the empty spots list for each empty spot
    777  * in 'ocbp' that will complete the combo.
    778  */
    779 void
    780 makeempty(struct combostr *ocbp)
    781 {
    782 	struct combostr *cbp, *tcbp, **cbpp;
    783 	struct elist *ep, *nep;
    784 	struct spotstr *sp;
    785 	int s, d, m, emask, i;
    786 	int nframes;
    787 	char tmp[128];
    788 
    789 	if (debug > 2) {
    790 		printcombo(ocbp, tmp, sizeof(tmp));
    791 		debuglog("E%c %s", "bw"[curcolor], tmp);
    792 	}
    793 
    794 	/* should never happen but check anyway */
    795 	if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
    796 		return;
    797 
    798 	/*
    799 	 * The lower level combo can be pointed to by more than one
    800 	 * higher level 'struct combostr' so we can't modify the
    801 	 * lower level. Therefore, higher level combos store the
    802 	 * real mask of the lower level frame in c_emask[0] and the
    803 	 * frame number in c_frameindex.
    804 	 *
    805 	 * First we traverse the tree from top to bottom and save the
    806 	 * connection info. Then we traverse the tree from bottom to
    807 	 * top overwriting lower levels with the newer emask information.
    808 	 */
    809 	ep = &einfo[nframes];
    810 	cbpp = &ecombo[nframes];
    811 	for (cbp = ocbp; (tcbp = cbp->c_link[1]) != NULL;
    812 	    cbp = cbp->c_link[0]) {
    813 		ep--;
    814 		ep->e_combo = cbp;
    815 		*--cbpp = cbp->c_link[1];
    816 		ep->e_off = cbp->c_voff[1];
    817 		ep->e_frameindex = cbp->c_frameindex;
    818 		ep->e_fval.s = cbp->c_linkv[1].s;
    819 		ep->e_framecnt = cbp->c_framecnt[1];
    820 		ep->e_emask = cbp->c_emask[1];
    821 	}
    822 	cbp = ep->e_combo;
    823 	ep--;
    824 	ep->e_combo = cbp;
    825 	*--cbpp = cbp->c_link[0];
    826 	ep->e_off = cbp->c_voff[0];
    827 	ep->e_frameindex = 0;
    828 	ep->e_fval.s = cbp->c_linkv[0].s;
    829 	ep->e_framecnt = cbp->c_framecnt[0];
    830 	ep->e_emask = cbp->c_emask[0];
    831 
    832 	/* now update the emask info */
    833 	s = 0;
    834 	for (i = 2, ep += 2; i < nframes; i++, ep++) {
    835 		cbp = ep->e_combo;
    836 		nep = &einfo[ep->e_frameindex];
    837 		nep->e_framecnt = cbp->c_framecnt[0];
    838 		nep->e_emask = cbp->c_emask[0];
    839 
    840 		if (cbp->c_flags & C_LOOP) {
    841 			s++;
    842 			/*
    843 			 * Account for the fact that this frame connects
    844 			 * to a previous one (thus forming a loop).
    845 			 */
    846 			nep = &einfo[cbp->c_dir];
    847 			if (--nep->e_framecnt)
    848 				nep->e_emask &= ~(1 << cbp->c_voff[0]);
    849 			else
    850 				nep->e_emask = 0;
    851 		}
    852 	}
    853 
    854 	/*
    855 	 * We only need to update the emask values of "complete" loops
    856 	 * to include the intersection spots.
    857 	 */
    858 	if (s && ocbp->c_combo.c.a == 2) {
    859 		/* process loops from the top down */
    860 		ep = &einfo[nframes];
    861 		do {
    862 			ep--;
    863 			cbp = ep->e_combo;
    864 			if (!(cbp->c_flags & C_LOOP))
    865 				continue;
    866 
    867 			/*
    868 			 * Update the emask values to include the
    869 			 * intersection spots.
    870 			 */
    871 			nep = &einfo[cbp->c_dir];
    872 			nep->e_framecnt = 1;
    873 			nep->e_emask = 1 << cbp->c_voff[0];
    874 			ep->e_framecnt = 1;
    875 			ep->e_emask = 1 << ep->e_off;
    876 			ep = &einfo[ep->e_frameindex];
    877 			do {
    878 				ep->e_framecnt = 1;
    879 				ep->e_emask = 1 << ep->e_off;
    880 				ep = &einfo[ep->e_frameindex];
    881 			} while (ep > nep);
    882 		} while (ep != einfo);
    883 	}
    884 
    885 	/* check all the frames for completion spots */
    886 	for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
    887 		/* skip this frame if there are no incomplete spots in it */
    888 		if ((emask = ep->e_emask) == 0)
    889 			continue;
    890 		cbp = *cbpp;
    891 		sp = &board[cbp->c_vertex];
    892 		d = dd[cbp->c_dir];
    893 		for (s = 0, m = 1; s < 5; s++, sp += d, m <<= 1) {
    894 			if (sp->s_occ != EMPTY || !(emask & m))
    895 				continue;
    896 
    897 			/* add the combo to the list of empty spots */
    898 			nep = (struct elist *)malloc(sizeof(struct elist));
    899 			if (nep == NULL)
    900 			    panic("Out of memory!");
    901 			nep->e_combo = ocbp;
    902 			nep->e_off = s;
    903 			nep->e_frameindex = i;
    904 			if (ep->e_framecnt > 1) {
    905 				nep->e_framecnt = ep->e_framecnt - 1;
    906 				nep->e_emask = emask & ~m;
    907 			} else {
    908 				nep->e_framecnt = 0;
    909 				nep->e_emask = 0;
    910 			}
    911 			nep->e_fval.s = ep->e_fval.s;
    912 			if (debug > 2) {
    913 				debuglog("e %s o%d i%d c%d m%x %x",
    914 					stoc(sp - board),
    915 					nep->e_off,
    916 					nep->e_frameindex,
    917 					nep->e_framecnt,
    918 					nep->e_emask,
    919 					nep->e_fval.s);
    920 			}
    921 
    922 			/* sort by the number of frames in the combo */
    923 			nep->e_next = sp->s_nempty;
    924 			sp->s_nempty = nep;
    925 			elistcnt++;
    926 		}
    927 	}
    928 }
    929 
    930 /*
    931  * Update the board value based on the combostr.
    932  * This is called only if 'cbp' is a <1,x> combo.
    933  * We handle things differently depending on whether the next move
    934  * would be trying to "complete" the combo or trying to block it.
    935  */
    936 void
    937 updatecombo(struct combostr *cbp, int color)
    938 {
    939 	struct spotstr *sp;
    940 	struct combostr *tcbp;
    941 	int i, d;
    942 	int nframes, flags, s;
    943 	union comboval cb;
    944 
    945 	flags = 0;
    946 	/* save the top level value for the whole combo */
    947 	cb.c.a = cbp->c_combo.c.a;
    948 	nframes = cbp->c_nframes;
    949 
    950 	if (color != nextcolor)
    951 		memset(tmpmap, 0, sizeof(tmpmap));
    952 
    953 	for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
    954 		flags = cbp->c_flags;
    955 		cb.c.b = cbp->c_combo.c.b;
    956 		if (color == nextcolor) {
    957 			/* update the board value for the vertex */
    958 			sp = &board[cbp->c_vertex];
    959 			sp->s_nforce[color]++;
    960 			if (cb.s <= sp->s_combo[color].s) {
    961 				if (cb.s != sp->s_combo[color].s) {
    962 					sp->s_combo[color].s = cb.s;
    963 					sp->s_level[color] = nframes;
    964 				} else if (nframes < sp->s_level[color])
    965 					sp->s_level[color] = nframes;
    966 			}
    967 		} else {
    968 			/* update the board values for each spot in frame */
    969 			sp = &board[s = tcbp->c_vertex];
    970 			d = dd[tcbp->c_dir];
    971 			i = (flags & C_OPEN_1) ? 6 : 5;
    972 			for (; --i >= 0; sp += d, s += d) {
    973 				if (sp->s_occ != EMPTY)
    974 					continue;
    975 				sp->s_nforce[color]++;
    976 				if (cb.s <= sp->s_combo[color].s) {
    977 					if (cb.s != sp->s_combo[color].s) {
    978 						sp->s_combo[color].s = cb.s;
    979 						sp->s_level[color] = nframes;
    980 					} else if (nframes < sp->s_level[color])
    981 						sp->s_level[color] = nframes;
    982 				}
    983 				BIT_SET(tmpmap, s);
    984 			}
    985 		}
    986 
    987 		/* mark the frame as being part of a <1,x> combo */
    988 		board[tcbp->c_vertex].s_flags |= FFLAG << tcbp->c_dir;
    989 	}
    990 
    991 	if (color != nextcolor) {
    992 		/* update the board values for each spot in frame */
    993 		sp = &board[s = cbp->c_vertex];
    994 		d = dd[cbp->c_dir];
    995 		i = (flags & C_OPEN_0) ? 6 : 5;
    996 		for (; --i >= 0; sp += d, s += d) {
    997 			if (sp->s_occ != EMPTY)
    998 				continue;
    999 			sp->s_nforce[color]++;
   1000 			if (cb.s <= sp->s_combo[color].s) {
   1001 				if (cb.s != sp->s_combo[color].s) {
   1002 					sp->s_combo[color].s = cb.s;
   1003 					sp->s_level[color] = nframes;
   1004 				} else if (nframes < sp->s_level[color])
   1005 					sp->s_level[color] = nframes;
   1006 			}
   1007 			BIT_SET(tmpmap, s);
   1008 		}
   1009 		if (nforce == 0)
   1010 			memcpy(forcemap, tmpmap, sizeof(tmpmap));
   1011 		else {
   1012 			for (i = 0; (unsigned int)i < MAPSZ; i++)
   1013 				forcemap[i] &= tmpmap[i];
   1014 		}
   1015 		nforce++;
   1016 	}
   1017 
   1018 	/* mark the frame as being part of a <1,x> combo */
   1019 	board[cbp->c_vertex].s_flags |= FFLAG << cbp->c_dir;
   1020 }
   1021 
   1022 /*
   1023  * Add combo to the end of the list.
   1024  */
   1025 void
   1026 appendcombo(struct combostr *cbp, int color __unused)
   1027 {
   1028 	struct combostr *pcbp, *ncbp;
   1029 
   1030 	combolen++;
   1031 	ncbp = sortcombos;
   1032 	if (ncbp == (struct combostr *)0) {
   1033 		sortcombos = cbp;
   1034 		cbp->c_next = cbp;
   1035 		cbp->c_prev = cbp;
   1036 		return;
   1037 	}
   1038 	pcbp = ncbp->c_prev;
   1039 	cbp->c_next = ncbp;
   1040 	cbp->c_prev = pcbp;
   1041 	ncbp->c_prev = cbp;
   1042 	pcbp->c_next = cbp;
   1043 }
   1044 
   1045 /*
   1046  * Return zero if it is valid to combine frame 'fcbp' with the frames
   1047  * in 'cbp' and forms a linked chain of frames (i.e., a tree; no loops).
   1048  * Return positive if combining frame 'fcbp' to the frames in 'cbp'
   1049  * would form some kind of valid loop. Also return the intersection spots
   1050  * in 'vertices[]' beside the known intersection at spot 'osp'.
   1051  * Return -1 if 'fcbp' should not be combined with 'cbp'.
   1052  * 's' is the combo value for frame 'fcpb'.
   1053  */
   1054 int
   1055 checkframes(struct combostr *cbp, struct combostr *fcbp, struct spotstr *osp,
   1056 	    int s, struct overlap_info *vertices)
   1057 {
   1058 	struct combostr *tcbp, *lcbp;
   1059 	int i, n, mask, flags, verts, loop, myindex, fcnt;
   1060 	union comboval cb;
   1061 	u_char *str;
   1062 	short *ip;
   1063 
   1064 	lcbp = NULL;
   1065 	flags = 0;
   1066 
   1067 	cb.s = s;
   1068 	fcnt = cb.c.a - 2;
   1069 	verts = 0;
   1070 	loop = 0;
   1071 	myindex = cbp->c_nframes;
   1072 	n = (fcbp - frames) * FAREA;
   1073 	str = &overlap[n];
   1074 	ip = &intersect[n];
   1075 	/*
   1076 	 * i == which overlap bit to test based on whether 'fcbp' is
   1077 	 * an open or closed frame.
   1078 	 */
   1079 	i = cb.c.b ? 2 : 0;
   1080 	for (; (tcbp = cbp->c_link[1]) != NULL;
   1081 	    lcbp = cbp, cbp = cbp->c_link[0]) {
   1082 		if (tcbp == fcbp)
   1083 			return (-1);	/* fcbp is already included */
   1084 
   1085 		/* check for intersection of 'tcbp' with 'fcbp' */
   1086 		myindex--;
   1087 		mask = str[tcbp - frames];
   1088 		flags = cbp->c_flags;
   1089 		n = i + ((flags & C_OPEN_1) != 0);
   1090 		if (mask & (1 << n)) {
   1091 			/*
   1092 			 * The two frames are not independent if they
   1093 			 * both lie in the same line and intersect at
   1094 			 * more than one point.
   1095 			 */
   1096 			if (tcbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)))
   1097 				return (-1);
   1098 			/*
   1099 			 * If this is not the spot we are attaching
   1100 			 * 'fcbp' to and it is a reasonable intersection
   1101 			 * spot, then there might be a loop.
   1102 			 */
   1103 			n = ip[tcbp - frames];
   1104 			if (osp != &board[n]) {
   1105 				/* check to see if this is a valid loop */
   1106 				if (verts)
   1107 					return (-1);
   1108 				if (fcnt == 0 || cbp->c_framecnt[1] == 0)
   1109 					return (-1);
   1110 				/*
   1111 				 * Check to be sure the intersection is not
   1112 				 * one of the end points if it is an open
   1113 				 * ended frame.
   1114 				 */
   1115 				if ((flags & C_OPEN_1) &&
   1116 				    (n == tcbp->c_vertex ||
   1117 				     n == tcbp->c_vertex + 5 * dd[tcbp->c_dir]))
   1118 					return (-1);	/* invalid overlap */
   1119 				if (cb.c.b &&
   1120 				    (n == fcbp->c_vertex ||
   1121 				     n == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
   1122 					return (-1);	/* invalid overlap */
   1123 
   1124 				vertices->o_intersect = n;
   1125 				vertices->o_fcombo = cbp;
   1126 				vertices->o_link = 1;
   1127 				vertices->o_off = (n - tcbp->c_vertex) /
   1128 					dd[tcbp->c_dir];
   1129 				vertices->o_frameindex = myindex;
   1130 				verts++;
   1131 			}
   1132 		}
   1133 		n = i + ((flags & C_OPEN_0) != 0);
   1134 	}
   1135 	if (cbp == fcbp)
   1136 		return (-1);	/* fcbp is already included */
   1137 
   1138 	/* check for intersection of 'cbp' with 'fcbp' */
   1139 	mask = str[cbp - frames];
   1140 	if (mask & (1 << n)) {
   1141 		/*
   1142 		 * The two frames are not independent if they
   1143 		 * both lie in the same line and intersect at
   1144 		 * more than one point.
   1145 		 */
   1146 		if (cbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)))
   1147 			return (-1);
   1148 		/*
   1149 		 * If this is not the spot we are attaching
   1150 		 * 'fcbp' to and it is a reasonable intersection
   1151 		 * spot, then there might be a loop.
   1152 		 */
   1153 		n = ip[cbp - frames];
   1154 		if (osp != &board[n]) {
   1155 			/* check to see if this is a valid loop */
   1156 			if (verts)
   1157 				return (-1);
   1158 			if (fcnt == 0 || lcbp->c_framecnt[0] == 0)
   1159 				return (-1);
   1160 			/*
   1161 			 * Check to be sure the intersection is not
   1162 			 * one of the end points if it is an open
   1163 			 * ended frame.
   1164 			 */
   1165 			if ((flags & C_OPEN_0) &&
   1166 			    (n == cbp->c_vertex ||
   1167 			     n == cbp->c_vertex + 5 * dd[cbp->c_dir]))
   1168 				return (-1);	/* invalid overlap */
   1169 			if (cb.c.b &&
   1170 			    (n == fcbp->c_vertex ||
   1171 			     n == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
   1172 				return (-1);	/* invalid overlap */
   1173 
   1174 			vertices->o_intersect = n;
   1175 			vertices->o_fcombo = lcbp;
   1176 			vertices->o_link = 0;
   1177 			vertices->o_off = (n - cbp->c_vertex) /
   1178 				dd[cbp->c_dir];
   1179 			vertices->o_frameindex = 0;
   1180 			verts++;
   1181 		}
   1182 	}
   1183 	return (verts);
   1184 }
   1185 
   1186 /*
   1187  * Merge sort the frame 'fcbp' and the sorted list of frames 'cbpp' and
   1188  * store the result in 'scbpp'. 'curlevel' is the size of the 'cbpp' array.
   1189  * Return true if this list of frames is already in the hash list.
   1190  * Otherwise, add the new combo to the hash list.
   1191  */
   1192 int
   1193 sortcombo(struct combostr **scbpp, struct combostr **cbpp,
   1194 	  struct combostr *fcbp)
   1195 {
   1196 	struct combostr **spp, **cpp;
   1197 	struct combostr *cbp, *ecbp;
   1198 	int n, inx;
   1199 
   1200 #ifdef DEBUG
   1201 	if (debug > 3) {
   1202 		char buf[128];
   1203 		size_t pos;
   1204 
   1205 		debuglog("sortc: %s%c l%d", stoc(fcbp->c_vertex),
   1206 			pdir[fcbp->c_dir], curlevel);
   1207 		pos = 0;
   1208 		for (cpp = cbpp; cpp < cbpp + curlevel; cpp++) {
   1209 			snprintf(buf + pos, sizeof(buf) - pos, " %s%c",
   1210 				stoc((*cpp)->c_vertex), pdir[(*cpp)->c_dir]);
   1211 			pos += strlen(buf + pos);
   1212 		}
   1213 		debuglog("%s", buf);
   1214 	}
   1215 #endif /* DEBUG */
   1216 
   1217 	/* first build the new sorted list */
   1218 	n = curlevel + 1;
   1219 	spp = scbpp + n;
   1220 	cpp = cbpp + curlevel;
   1221 	do {
   1222 		cpp--;
   1223 		if (fcbp > *cpp) {
   1224 			*--spp = fcbp;
   1225 			do
   1226 				*--spp = *cpp;
   1227 			while (cpp-- != cbpp);
   1228 			goto inserted;
   1229 		}
   1230 		*--spp = *cpp;
   1231 	} while (cpp != cbpp);
   1232 	*--spp = fcbp;
   1233 inserted:
   1234 
   1235 	/* now check to see if this list of frames has already been seen */
   1236 	cbp = hashcombos[inx = *scbpp - frames];
   1237 	if (cbp == (struct combostr *)0) {
   1238 		/*
   1239 		 * Easy case, this list hasn't been seen.
   1240 		 * Add it to the hash list.
   1241 		 */
   1242 		fcbp = (struct combostr *)
   1243 			((char *)scbpp - sizeof(struct combostr));
   1244 		hashcombos[inx] = fcbp;
   1245 		fcbp->c_next = fcbp->c_prev = fcbp;
   1246 		return (0);
   1247 	}
   1248 	ecbp = cbp;
   1249 	do {
   1250 		cbpp = (struct combostr **)(cbp + 1);
   1251 		cpp = cbpp + n;
   1252 		spp = scbpp + n;
   1253 		cbpp++;	/* first frame is always the same */
   1254 		do {
   1255 			if (*--spp != *--cpp)
   1256 				goto next;
   1257 		} while (cpp != cbpp);
   1258 		/* we found a match */
   1259 #ifdef DEBUG
   1260 		if (debug > 3) {
   1261 			char buf[128];
   1262 			size_t pos;
   1263 
   1264 			debuglog("sort1: n%d", n);
   1265 			pos = 0;
   1266 			for (cpp = scbpp; cpp < scbpp + n; cpp++) {
   1267 				snprintf(buf + pos, sizeof(buf) - pos, " %s%c",
   1268 					stoc((*cpp)->c_vertex),
   1269 					pdir[(*cpp)->c_dir]);
   1270 				pos += strlen(buf + pos);
   1271 			}
   1272 			debuglog("%s", buf);
   1273 			printcombo(cbp, buf, sizeof(buf));
   1274 			debuglog("%s", buf);
   1275 			cbpp--;
   1276 			pos = 0;
   1277 			for (cpp = cbpp; cpp < cbpp + n; cpp++) {
   1278 				snprintf(buf + pos, sizeof(buf) - pos, " %s%c",
   1279 					stoc((*cpp)->c_vertex),
   1280 					pdir[(*cpp)->c_dir]);
   1281 				pos += strlen(buf + pos);
   1282 			}
   1283 			debuglog("%s", buf);
   1284 		}
   1285 #endif /* DEBUG */
   1286 		return (1);
   1287 	next:
   1288 		;
   1289 	} while ((cbp = cbp->c_next) != ecbp);
   1290 	/*
   1291 	 * This list of frames hasn't been seen.
   1292 	 * Add it to the hash list.
   1293 	 */
   1294 	ecbp = cbp->c_prev;
   1295 	fcbp = (struct combostr *)((char *)scbpp - sizeof(struct combostr));
   1296 	fcbp->c_next = cbp;
   1297 	fcbp->c_prev = ecbp;
   1298 	cbp->c_prev = fcbp;
   1299 	ecbp->c_next = fcbp;
   1300 	return (0);
   1301 }
   1302 
   1303 /*
   1304  * Print the combo into string buffer 'buf'.
   1305  */
   1306 void
   1307 printcombo(struct combostr *cbp, char *buf, size_t max)
   1308 {
   1309 	struct combostr *tcbp;
   1310 	size_t pos = 0;
   1311 
   1312 	snprintf(buf + pos, max - pos, "%x/%d",
   1313 		cbp->c_combo.s, cbp->c_nframes);
   1314 	pos += strlen(buf + pos);
   1315 
   1316 	for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
   1317 		snprintf(buf + pos, max - pos, " %s%c%x",
   1318 			stoc(tcbp->c_vertex), pdir[tcbp->c_dir], cbp->c_flags);
   1319 		pos += strlen(buf + pos);
   1320 	}
   1321 	snprintf(buf + pos, max - pos, " %s%c",
   1322 		stoc(cbp->c_vertex), pdir[cbp->c_dir]);
   1323 }
   1324 
   1325 #ifdef DEBUG
   1326 void
   1327 markcombo(struct combostr *ocbp)
   1328 {
   1329 	struct combostr *cbp, *tcbp, **cbpp;
   1330 	struct elist *ep, *nep, **epp;
   1331 	struct spotstr *sp;
   1332 	int s, d, m, i;
   1333 	int nframes;
   1334 	int r, n, flags, cmask, omask;
   1335 
   1336 	/* should never happen but check anyway */
   1337 	if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
   1338 		return;
   1339 
   1340 	/*
   1341 	 * The lower level combo can be pointed to by more than one
   1342 	 * higher level 'struct combostr' so we can't modify the
   1343 	 * lower level. Therefore, higher level combos store the
   1344 	 * real mask of the lower level frame in c_emask[0] and the
   1345 	 * frame number in c_frameindex.
   1346 	 *
   1347 	 * First we traverse the tree from top to bottom and save the
   1348 	 * connection info. Then we traverse the tree from bottom to
   1349 	 * top overwriting lower levels with the newer emask information.
   1350 	 */
   1351 	ep = &einfo[nframes];
   1352 	cbpp = &ecombo[nframes];
   1353 	for (cbp = ocbp; tcbp = cbp->c_link[1]; cbp = cbp->c_link[0]) {
   1354 		ep--;
   1355 		ep->e_combo = cbp;
   1356 		*--cbpp = cbp->c_link[1];
   1357 		ep->e_off = cbp->c_voff[1];
   1358 		ep->e_frameindex = cbp->c_frameindex;
   1359 		ep->e_fval.s = cbp->c_linkv[1].s;
   1360 		ep->e_framecnt = cbp->c_framecnt[1];
   1361 		ep->e_emask = cbp->c_emask[1];
   1362 	}
   1363 	cbp = ep->e_combo;
   1364 	ep--;
   1365 	ep->e_combo = cbp;
   1366 	*--cbpp = cbp->c_link[0];
   1367 	ep->e_off = cbp->c_voff[0];
   1368 	ep->e_frameindex = 0;
   1369 	ep->e_fval.s = cbp->c_linkv[0].s;
   1370 	ep->e_framecnt = cbp->c_framecnt[0];
   1371 	ep->e_emask = cbp->c_emask[0];
   1372 
   1373 	/* now update the emask info */
   1374 	s = 0;
   1375 	for (i = 2, ep += 2; i < nframes; i++, ep++) {
   1376 		cbp = ep->e_combo;
   1377 		nep = &einfo[ep->e_frameindex];
   1378 		nep->e_framecnt = cbp->c_framecnt[0];
   1379 		nep->e_emask = cbp->c_emask[0];
   1380 
   1381 		if (cbp->c_flags & C_LOOP) {
   1382 			s++;
   1383 			/*
   1384 			 * Account for the fact that this frame connects
   1385 			 * to a previous one (thus forming a loop).
   1386 			 */
   1387 			nep = &einfo[cbp->c_dir];
   1388 			if (--nep->e_framecnt)
   1389 				nep->e_emask &= ~(1 << cbp->c_voff[0]);
   1390 			else
   1391 				nep->e_emask = 0;
   1392 		}
   1393 	}
   1394 
   1395 	/*
   1396 	 * We only need to update the emask values of "complete" loops
   1397 	 * to include the intersection spots.
   1398 	 */
   1399 	if (s && ocbp->c_combo.c.a == 2) {
   1400 		/* process loops from the top down */
   1401 		ep = &einfo[nframes];
   1402 		do {
   1403 			ep--;
   1404 			cbp = ep->e_combo;
   1405 			if (!(cbp->c_flags & C_LOOP))
   1406 				continue;
   1407 
   1408 			/*
   1409 			 * Update the emask values to include the
   1410 			 * intersection spots.
   1411 			 */
   1412 			nep = &einfo[cbp->c_dir];
   1413 			nep->e_framecnt = 1;
   1414 			nep->e_emask = 1 << cbp->c_voff[0];
   1415 			ep->e_framecnt = 1;
   1416 			ep->e_emask = 1 << ep->e_off;
   1417 			ep = &einfo[ep->e_frameindex];
   1418 			do {
   1419 				ep->e_framecnt = 1;
   1420 				ep->e_emask = 1 << ep->e_off;
   1421 				ep = &einfo[ep->e_frameindex];
   1422 			} while (ep > nep);
   1423 		} while (ep != einfo);
   1424 	}
   1425 
   1426 	/* mark all the frames with the completion spots */
   1427 	for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
   1428 		m = ep->e_emask;
   1429 		cbp = *cbpp;
   1430 		sp = &board[cbp->c_vertex];
   1431 		d = dd[s = cbp->c_dir];
   1432 		cmask = CFLAG << s;
   1433 		omask = (IFLAG | CFLAG) << s;
   1434 		s = ep->e_fval.c.b ? 6 : 5;
   1435 		for (; --s >= 0; sp += d, m >>= 1)
   1436 			sp->s_flags |= (m & 1) ? omask : cmask;
   1437 	}
   1438 }
   1439 
   1440 void
   1441 clearcombo(struct combostr *cbp, int open)
   1442 {
   1443 	struct spotstr *sp;
   1444 	struct combostr *tcbp;
   1445 	int d, n, mask;
   1446 
   1447 	for (; tcbp = cbp->c_link[1]; cbp = cbp->c_link[0]) {
   1448 		clearcombo(tcbp, cbp->c_flags & C_OPEN_1);
   1449 		open = cbp->c_flags & C_OPEN_0;
   1450 	}
   1451 	sp = &board[cbp->c_vertex];
   1452 	d = dd[n = cbp->c_dir];
   1453 	mask = ~((IFLAG | CFLAG) << n);
   1454 	n = open ? 6 : 5;
   1455 	for (; --n >= 0; sp += d)
   1456 		sp->s_flags &= mask;
   1457 }
   1458 
   1459 int
   1460 list_eq(struct combostr **scbpp, struct combostr **cbpp, int n)
   1461 {
   1462 	struct combostr **spp, **cpp;
   1463 
   1464 	spp = scbpp + n;
   1465 	cpp = cbpp + n;
   1466 	do {
   1467 		if (*--spp != *--cpp)
   1468 			return (0);
   1469 	} while (cpp != cbpp);
   1470 	/* we found a match */
   1471 	return (1);
   1472 }
   1473 #endif /* DEBUG */
   1474