Home | History | Annotate | Line # | Download | only in gomoku
pickmove.c revision 1.9
      1 /*	$NetBSD: pickmove.c,v 1.9 1999/09/18 19:38:51 jsm 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. All advertising materials mentioning features or use of this software
     19  *    must display the following acknowledgement:
     20  *	This product includes software developed by the University of
     21  *	California, Berkeley and its contributors.
     22  * 4. Neither the name of the University nor the names of its contributors
     23  *    may be used to endorse or promote products derived from this software
     24  *    without specific prior written permission.
     25  *
     26  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     27  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     28  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     29  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     30  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     31  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     32  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     33  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     34  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     35  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     36  * SUCH DAMAGE.
     37  */
     38 
     39 #include <sys/cdefs.h>
     40 #ifndef lint
     41 #if 0
     42 static char sccsid[] = "@(#)pickmove.c	8.2 (Berkeley) 5/3/95";
     43 #else
     44 __RCSID("$NetBSD: pickmove.c,v 1.9 1999/09/18 19:38:51 jsm Exp $");
     45 #endif
     46 #endif /* not lint */
     47 
     48 #include <stdlib.h>
     49 #include <string.h>
     50 #include <curses.h>
     51 #include <machine/limits.h>
     52 
     53 #include "gomoku.h"
     54 
     55 #define BITS_PER_INT	(sizeof(int) * CHAR_BIT)
     56 #define MAPSZ		(BAREA / BITS_PER_INT)
     57 
     58 #define BIT_SET(a, b)	((a)[(b)/BITS_PER_INT] |= (1 << ((b) % BITS_PER_INT)))
     59 #define BIT_CLR(a, b)	((a)[(b)/BITS_PER_INT] &= ~(1 << ((b) % BITS_PER_INT)))
     60 #define BIT_TEST(a, b)	((a)[(b)/BITS_PER_INT] & (1 << ((b) % BITS_PER_INT)))
     61 
     62 struct	combostr *hashcombos[FAREA];	/* hash list for finding duplicates */
     63 struct	combostr *sortcombos;		/* combos at higher levels */
     64 int	combolen;			/* number of combos in sortcombos */
     65 int	nextcolor;			/* color of next move */
     66 int	elistcnt;			/* count of struct elist allocated */
     67 int	combocnt;			/* count of struct combostr allocated */
     68 int	forcemap[MAPSZ];		/* map for blocking <1,x> combos */
     69 int	tmpmap[MAPSZ];			/* map for blocking <1,x> combos */
     70 int	nforce;				/* count of opponent <1,x> combos */
     71 
     72 int
     73 pickmove(us)
     74 	int us;
     75 {
     76 	struct spotstr *sp, *sp1, *sp2;
     77 	union comboval *Ocp, *Tcp;
     78 	int m;
     79 
     80 	/* first move is easy */
     81 	if (movenum == 1)
     82 		return (PT(K,10));
     83 
     84 	/* initialize all the board values */
     85 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
     86 		sp->s_combo[BLACK].s = MAXCOMBO + 1;
     87 		sp->s_combo[WHITE].s = MAXCOMBO + 1;
     88 		sp->s_level[BLACK] = 255;
     89 		sp->s_level[WHITE] = 255;
     90 		sp->s_nforce[BLACK] = 0;
     91 		sp->s_nforce[WHITE] = 0;
     92 		sp->s_flg &= ~(FFLAGALL | MFLAGALL);
     93 	}
     94 	nforce = 0;
     95 	memset(forcemap, 0, sizeof(forcemap));
     96 
     97 	/* compute new values */
     98 	nextcolor = us;
     99 	scanframes(BLACK);
    100 	scanframes(WHITE);
    101 
    102 	/* find the spot with the highest value */
    103 	for (sp = sp1 = sp2 = &board[PT(T,19)]; --sp >= &board[PT(A,1)]; ) {
    104 		if (sp->s_occ != EMPTY)
    105 			continue;
    106 		if (debug && (sp->s_combo[BLACK].c.a == 1 ||
    107 		    sp->s_combo[WHITE].c.a == 1)) {
    108 			sprintf(fmtbuf, "- %s %x/%d %d %x/%d %d %d", stoc(sp - board),
    109 				sp->s_combo[BLACK].s, sp->s_level[BLACK],
    110 				sp->s_nforce[BLACK],
    111 				sp->s_combo[WHITE].s, sp->s_level[WHITE],
    112 				sp->s_nforce[WHITE],
    113 				sp->s_wval);
    114 			dlog(fmtbuf);
    115 		}
    116 		/* pick the best black move */
    117 		if (better(sp, sp1, BLACK))
    118 			sp1 = sp;
    119 		/* pick the best white move */
    120 		if (better(sp, sp2, WHITE))
    121 			sp2 = sp;
    122 	}
    123 
    124 	if (debug) {
    125 		sprintf(fmtbuf, "B %s %x/%d %d %x/%d %d %d",
    126 			stoc(sp1 - board),
    127 			sp1->s_combo[BLACK].s, sp1->s_level[BLACK],
    128 			sp1->s_nforce[BLACK],
    129 			sp1->s_combo[WHITE].s, sp1->s_level[WHITE],
    130 			sp1->s_nforce[WHITE], sp1->s_wval);
    131 		dlog(fmtbuf);
    132 		sprintf(fmtbuf, "W %s %x/%d %d %x/%d %d %d",
    133 			stoc(sp2 - board),
    134 			sp2->s_combo[WHITE].s, sp2->s_level[WHITE],
    135 			sp2->s_nforce[WHITE],
    136 			sp2->s_combo[BLACK].s, sp2->s_level[BLACK],
    137 			sp2->s_nforce[BLACK], sp2->s_wval);
    138 		dlog(fmtbuf);
    139 		/*
    140 		 * Check for more than one force that can't
    141 		 * all be blocked with one move.
    142 		 */
    143 		sp = (us == BLACK) ? sp2 : sp1;
    144 		m = sp - board;
    145 		if (sp->s_combo[!us].c.a == 1 && !BIT_TEST(forcemap, m))
    146 			dlog("*** Can't be blocked");
    147 	}
    148 	if (us == BLACK) {
    149 		Ocp = &sp1->s_combo[BLACK];
    150 		Tcp = &sp2->s_combo[WHITE];
    151 	} else {
    152 		Tcp = &sp1->s_combo[BLACK];
    153 		Ocp = &sp2->s_combo[WHITE];
    154 		sp = sp1;
    155 		sp1 = sp2;
    156 		sp2 = sp;
    157 	}
    158 	/*
    159 	 * Block their combo only if we have to (i.e., if they are one move
    160 	 * away from completing a force and we don't have a force that
    161 	 * we can complete which takes fewer moves to win).
    162 	 */
    163 	if (Tcp->c.a <= 1 && (Ocp->c.a > 1 ||
    164 	    Tcp->c.a + Tcp->c.b < Ocp->c.a + Ocp->c.b))
    165 		return (sp2 - board);
    166 	return (sp1 - board);
    167 }
    168 
    169 /*
    170  * Return true if spot 'sp' is better than spot 'sp1' for color 'us'.
    171  */
    172 int
    173 better(sp, sp1, us)
    174 	const struct spotstr *sp;
    175 	const struct spotstr *sp1;
    176 	int us;
    177 {
    178 	int them, s, s1;
    179 
    180 	if (sp->s_combo[us].s < sp1->s_combo[us].s)
    181 		return (1);
    182 	if (sp->s_combo[us].s != sp1->s_combo[us].s)
    183 		return (0);
    184 	if (sp->s_level[us] < sp1->s_level[us])
    185 		return (1);
    186 	if (sp->s_level[us] != sp1->s_level[us])
    187 		return (0);
    188 	if (sp->s_nforce[us] > sp1->s_nforce[us])
    189 		return (1);
    190 	if (sp->s_nforce[us] != sp1->s_nforce[us])
    191 		return (0);
    192 
    193 	them = !us;
    194 	s = sp - board;
    195 	s1 = sp1 - board;
    196 	if (BIT_TEST(forcemap, s) && !BIT_TEST(forcemap, s1))
    197 		return (1);
    198 	if (!BIT_TEST(forcemap, s) && BIT_TEST(forcemap, s1))
    199 		return (0);
    200 	if (sp->s_combo[them].s < sp1->s_combo[them].s)
    201 		return (1);
    202 	if (sp->s_combo[them].s != sp1->s_combo[them].s)
    203 		return (0);
    204 	if (sp->s_level[them] < sp1->s_level[them])
    205 		return (1);
    206 	if (sp->s_level[them] != sp1->s_level[them])
    207 		return (0);
    208 	if (sp->s_nforce[them] > sp1->s_nforce[them])
    209 		return (1);
    210 	if (sp->s_nforce[them] != sp1->s_nforce[them])
    211 		return (0);
    212 
    213 	if (sp->s_wval > sp1->s_wval)
    214 		return (1);
    215 	if (sp->s_wval != sp1->s_wval)
    216 		return (0);
    217 
    218 #ifdef SVR4
    219 	return (rand() & 1);
    220 #else
    221 	return (random() & 1);
    222 #endif
    223 }
    224 
    225 int	curcolor;	/* implicit parameter to makecombo() */
    226 int	curlevel;	/* implicit parameter to makecombo() */
    227 
    228 /*
    229  * Scan the sorted list of non-empty frames and
    230  * update the minimum combo values for each empty spot.
    231  * Also, try to combine frames to find more complex (chained) moves.
    232  */
    233 void
    234 scanframes(color)
    235 	int color;
    236 {
    237 	struct combostr *cbp, *ecbp;
    238 	struct spotstr *sp;
    239 	union comboval *cp;
    240 	struct elist *ep, *nep;
    241 	int i, r, d, n;
    242 	union comboval cb;
    243 
    244 	curcolor = color;
    245 
    246 	/* check for empty list of frames */
    247 	cbp = sortframes[color];
    248 	if (cbp == (struct combostr *)0)
    249 		return;
    250 
    251 	/* quick check for four in a row */
    252 	sp = &board[cbp->c_vertex];
    253 	cb.s = sp->s_fval[color][d = cbp->c_dir].s;
    254 	if (cb.s < 0x101) {
    255 		d = dd[d];
    256 		for (i = 5 + cb.c.b; --i >= 0; sp += d) {
    257 			if (sp->s_occ != EMPTY)
    258 				continue;
    259 			sp->s_combo[color].s = cb.s;
    260 			sp->s_level[color] = 1;
    261 		}
    262 		return;
    263 	}
    264 
    265 	/*
    266 	 * Update the minimum combo value for each spot in the frame
    267 	 * and try making all combinations of two frames intersecting at
    268 	 * an empty spot.
    269 	 */
    270 	n = combolen;
    271 	ecbp = cbp;
    272 	do {
    273 		sp = &board[cbp->c_vertex];
    274 		cp = &sp->s_fval[color][r = cbp->c_dir];
    275 		d = dd[r];
    276 		if (cp->c.b) {
    277 			/*
    278 			 * Since this is the first spot of an open ended
    279 			 * frame, we treat it as a closed frame.
    280 			 */
    281 			cb.c.a = cp->c.a + 1;
    282 			cb.c.b = 0;
    283 			if (cb.s < sp->s_combo[color].s) {
    284 				sp->s_combo[color].s = cb.s;
    285 				sp->s_level[color] = 1;
    286 			}
    287 			/*
    288 			 * Try combining other frames that intersect
    289 			 * at this spot.
    290 			 */
    291 			makecombo2(cbp, sp, 0, cb.s);
    292 			if (cp->s != 0x101)
    293 				cb.s = cp->s;
    294 			else if (color != nextcolor)
    295 				memset(tmpmap, 0, sizeof(tmpmap));
    296 			sp += d;
    297 			i = 1;
    298 		} else {
    299 			cb.s = cp->s;
    300 			i = 0;
    301 		}
    302 		for (; i < 5; i++, sp += d) {	/* for each spot */
    303 			if (sp->s_occ != EMPTY)
    304 				continue;
    305 			if (cp->s < sp->s_combo[color].s) {
    306 				sp->s_combo[color].s = cp->s;
    307 				sp->s_level[color] = 1;
    308 			}
    309 			if (cp->s == 0x101) {
    310 				sp->s_nforce[color]++;
    311 				if (color != nextcolor) {
    312 					n = sp - board;
    313 					BIT_SET(tmpmap, n);
    314 				}
    315 			}
    316 			/*
    317 			 * Try combining other frames that intersect
    318 			 * at this spot.
    319 			 */
    320 			makecombo2(cbp, sp, i, cb.s);
    321 		}
    322 		if (cp->s == 0x101 && color != nextcolor) {
    323 			if (nforce == 0)
    324 				memcpy(forcemap, tmpmap, sizeof(tmpmap));
    325 			else {
    326 				for (i = 0; (unsigned int)i < MAPSZ; i++)
    327 					forcemap[i] &= tmpmap[i];
    328 			}
    329 		}
    330 		/* mark frame as having been processed */
    331 		board[cbp->c_vertex].s_flg |= MFLAG << r;
    332 	} while ((cbp = cbp->c_next) != ecbp);
    333 
    334 	/*
    335 	 * Try to make new 3rd level combos, 4th level, etc.
    336 	 * Limit the search depth early in the game.
    337 	 */
    338 	d = 2;
    339 	while (d <= ((movenum + 1) >> 1) && combolen > n) {
    340 		if (debug) {
    341 			sprintf(fmtbuf, "%cL%d %d %d %d", "BW"[color],
    342 				d, combolen - n, combocnt, elistcnt);
    343 			dlog(fmtbuf);
    344 			refresh();
    345 		}
    346 		n = combolen;
    347 		addframes(d);
    348 		d++;
    349 	}
    350 
    351 	/* scan for combos at empty spots */
    352 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
    353 		for (ep = sp->s_empty; ep; ep = nep) {
    354 			cbp = ep->e_combo;
    355 			if (cbp->c_combo.s <= sp->s_combo[color].s) {
    356 				if (cbp->c_combo.s != sp->s_combo[color].s) {
    357 					sp->s_combo[color].s = cbp->c_combo.s;
    358 					sp->s_level[color] = cbp->c_nframes;
    359 				} else if (cbp->c_nframes < sp->s_level[color])
    360 					sp->s_level[color] = cbp->c_nframes;
    361 			}
    362 			nep = ep->e_next;
    363 			free(ep);
    364 			elistcnt--;
    365 		}
    366 		sp->s_empty = (struct elist *)0;
    367 		for (ep = sp->s_nempty; ep; ep = nep) {
    368 			cbp = ep->e_combo;
    369 			if (cbp->c_combo.s <= sp->s_combo[color].s) {
    370 				if (cbp->c_combo.s != sp->s_combo[color].s) {
    371 					sp->s_combo[color].s = cbp->c_combo.s;
    372 					sp->s_level[color] = cbp->c_nframes;
    373 				} else if (cbp->c_nframes < sp->s_level[color])
    374 					sp->s_level[color] = cbp->c_nframes;
    375 			}
    376 			nep = ep->e_next;
    377 			free(ep);
    378 			elistcnt--;
    379 		}
    380 		sp->s_nempty = (struct elist *)0;
    381 	}
    382 
    383 	/* remove old combos */
    384 	if ((cbp = sortcombos) != (struct combostr *)0) {
    385 		struct combostr *ncbp;
    386 
    387 		/* scan the list */
    388 		ecbp = cbp;
    389 		do {
    390 			ncbp = cbp->c_next;
    391 			free(cbp);
    392 			combocnt--;
    393 		} while ((cbp = ncbp) != ecbp);
    394 		sortcombos = (struct combostr *)0;
    395 	}
    396 	combolen = 0;
    397 
    398 #ifdef DEBUG
    399 	if (combocnt) {
    400 		sprintf(fmtbuf, "scanframes: %c combocnt %d", "BW"[color],
    401 			combocnt);
    402 		dlog(fmtbuf);
    403 		whatsup(0);
    404 	}
    405 	if (elistcnt) {
    406 		sprintf(fmtbuf, "scanframes: %c elistcnt %d", "BW"[color],
    407 			elistcnt);
    408 		dlog(fmtbuf);
    409 		whatsup(0);
    410 	}
    411 #endif
    412 }
    413 
    414 /*
    415  * Compute all level 2 combos of frames intersecting spot 'osp'
    416  * within the frame 'ocbp' and combo value 's'.
    417  */
    418 void
    419 makecombo2(ocbp, osp, off, s)
    420 	struct combostr *ocbp;
    421 	struct spotstr *osp;
    422 	int off;
    423 	int s;
    424 {
    425 	struct spotstr *fsp;
    426 	struct combostr *ncbp;
    427 	int f, r, d, c;
    428 	int baseB, fcnt, emask, bmask, n;
    429 	union comboval ocb, fcb;
    430 	struct combostr **scbpp, *fcbp;
    431 
    432 	/* try to combine a new frame with those found so far */
    433 	ocb.s = s;
    434 	baseB = ocb.c.a + ocb.c.b - 1;
    435 	fcnt = ocb.c.a - 2;
    436 	emask = fcnt ? ((ocb.c.b ? 0x1E : 0x1F) & ~(1 << off)) : 0;
    437 	for (r = 4; --r >= 0; ) {			/* for each direction */
    438 	    /* don't include frames that overlap in the same direction */
    439 	    if (r == ocbp->c_dir)
    440 		continue;
    441 	    d = dd[r];
    442 	    /*
    443 	     * Frame A combined with B is the same value as B combined with A
    444 	     * so skip frames that have already been processed (MFLAG).
    445 	     * Also skip blocked frames (BFLAG) and frames that are <1,x>
    446 	     * since combining another frame with it isn't valid.
    447 	     */
    448 	    bmask = (BFLAG | FFLAG | MFLAG) << r;
    449 	    fsp = osp;
    450 	    for (f = 0; f < 5; f++, fsp -= d) {		/* for each frame */
    451 		if (fsp->s_occ == BORDER)
    452 		    break;
    453 		if (fsp->s_flg & bmask)
    454 		    continue;
    455 
    456 		/* don't include frames of the wrong color */
    457 		fcb.s = fsp->s_fval[curcolor][r].s;
    458 		if (fcb.c.a >= MAXA)
    459 		    continue;
    460 
    461 		/*
    462 		 * Get the combo value for this frame.
    463 		 * If this is the end point of the frame,
    464 		 * use the closed ended value for the frame.
    465 		 */
    466 		if ((f == 0 && fcb.c.b) || fcb.s == 0x101) {
    467 		    fcb.c.a++;
    468 		    fcb.c.b = 0;
    469 		}
    470 
    471 		/* compute combo value */
    472 		c = fcb.c.a + ocb.c.a - 3;
    473 		if (c > 4)
    474 		    continue;
    475 		n = fcb.c.a + fcb.c.b - 1;
    476 		if (baseB < n)
    477 		    n = baseB;
    478 
    479 		/* make a new combo! */
    480 		ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
    481 		    2 * sizeof(struct combostr *));
    482 		if (ncbp == NULL)
    483 		    panic("Out of memory!");
    484 		scbpp = (struct combostr **)(ncbp + 1);
    485 		fcbp = fsp->s_frame[r];
    486 		if (ocbp < fcbp) {
    487 		    scbpp[0] = ocbp;
    488 		    scbpp[1] = fcbp;
    489 		} else {
    490 		    scbpp[0] = fcbp;
    491 		    scbpp[1] = ocbp;
    492 		}
    493 		ncbp->c_combo.c.a = c;
    494 		ncbp->c_combo.c.b = n;
    495 		ncbp->c_link[0] = ocbp;
    496 		ncbp->c_link[1] = fcbp;
    497 		ncbp->c_linkv[0].s = ocb.s;
    498 		ncbp->c_linkv[1].s = fcb.s;
    499 		ncbp->c_voff[0] = off;
    500 		ncbp->c_voff[1] = f;
    501 		ncbp->c_vertex = osp - board;
    502 		ncbp->c_nframes = 2;
    503 		ncbp->c_dir = 0;
    504 		ncbp->c_frameindex = 0;
    505 		ncbp->c_flg = (ocb.c.b) ? C_OPEN_0 : 0;
    506 		if (fcb.c.b)
    507 		    ncbp->c_flg |= C_OPEN_1;
    508 		ncbp->c_framecnt[0] = fcnt;
    509 		ncbp->c_emask[0] = emask;
    510 		ncbp->c_framecnt[1] = fcb.c.a - 2;
    511 		ncbp->c_emask[1] = ncbp->c_framecnt[1] ?
    512 		    ((fcb.c.b ? 0x1E : 0x1F) & ~(1 << f)) : 0;
    513 		combocnt++;
    514 
    515 		if ((c == 1 && debug > 1) || debug > 3) {
    516 		    sprintf(fmtbuf, "%c c %d %d m %x %x o %d %d",
    517 			"bw"[curcolor],
    518 			ncbp->c_framecnt[0], ncbp->c_framecnt[1],
    519 			ncbp->c_emask[0], ncbp->c_emask[1],
    520 			ncbp->c_voff[0], ncbp->c_voff[1]);
    521 		    dlog(fmtbuf);
    522 		    printcombo(ncbp, fmtbuf);
    523 		    dlog(fmtbuf);
    524 		}
    525 		if (c > 1) {
    526 		    /* record the empty spots that will complete this combo */
    527 		    makeempty(ncbp);
    528 
    529 		    /* add the new combo to the end of the list */
    530 		    appendcombo(ncbp, curcolor);
    531 		} else {
    532 		    updatecombo(ncbp, curcolor);
    533 		    free(ncbp);
    534 		    combocnt--;
    535 		}
    536 #ifdef DEBUG
    537 		if (c == 1 && debug > 1 || debug > 5) {
    538 		    markcombo(ncbp);
    539 		    bdisp();
    540 		    whatsup(0);
    541 		    clearcombo(ncbp, 0);
    542 		}
    543 #endif /* DEBUG */
    544 	    }
    545 	}
    546 }
    547 
    548 /*
    549  * Scan the sorted list of frames and try to add a frame to
    550  * combinations of 'level' number of frames.
    551  */
    552 void
    553 addframes(level)
    554 	int level;
    555 {
    556 	struct combostr *cbp, *ecbp;
    557 	struct spotstr *sp, *fsp;
    558 	struct elist *ep, *nep;
    559 	int i, r, d;
    560 	struct combostr **cbpp, *pcbp;
    561 	union comboval fcb, cb;
    562 
    563 	curlevel = level;
    564 
    565 	/* scan for combos at empty spots */
    566 	i = curcolor;
    567 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
    568 		for (ep = sp->s_empty; ep; ep = nep) {
    569 			cbp = ep->e_combo;
    570 			if (cbp->c_combo.s <= sp->s_combo[i].s) {
    571 				if (cbp->c_combo.s != sp->s_combo[i].s) {
    572 					sp->s_combo[i].s = cbp->c_combo.s;
    573 					sp->s_level[i] = cbp->c_nframes;
    574 				} else if (cbp->c_nframes < sp->s_level[i])
    575 					sp->s_level[i] = cbp->c_nframes;
    576 			}
    577 			nep = ep->e_next;
    578 			free(ep);
    579 			elistcnt--;
    580 		}
    581 		sp->s_empty = sp->s_nempty;
    582 		sp->s_nempty = (struct elist *)0;
    583 	}
    584 
    585 	/* try to add frames to the uncompleted combos at level curlevel */
    586 	cbp = ecbp = sortframes[curcolor];
    587 	do {
    588 		fsp = &board[cbp->c_vertex];
    589 		r = cbp->c_dir;
    590 		/* skip frames that are part of a <1,x> combo */
    591 		if (fsp->s_flg & (FFLAG << r))
    592 			continue;
    593 
    594 		/*
    595 		 * Don't include <1,x> combo frames,
    596 		 * treat it as a closed three in a row instead.
    597 		 */
    598 		fcb.s = fsp->s_fval[curcolor][r].s;
    599 		if (fcb.s == 0x101)
    600 			fcb.s = 0x200;
    601 
    602 		/*
    603 		 * If this is an open ended frame, use
    604 		 * the combo value with the end closed.
    605 		 */
    606 		if (fsp->s_occ == EMPTY) {
    607 			if (fcb.c.b) {
    608 				cb.c.a = fcb.c.a + 1;
    609 				cb.c.b = 0;
    610 			} else
    611 				cb.s = fcb.s;
    612 			makecombo(cbp, fsp, 0, cb.s);
    613 		}
    614 
    615 		/*
    616 		 * The next four spots are handled the same for both
    617 		 * open and closed ended frames.
    618 		 */
    619 		d = dd[r];
    620 		sp = fsp + d;
    621 		for (i = 1; i < 5; i++, sp += d) {
    622 			if (sp->s_occ != EMPTY)
    623 				continue;
    624 			makecombo(cbp, sp, i, fcb.s);
    625 		}
    626 	} while ((cbp = cbp->c_next) != ecbp);
    627 
    628 	/* put all the combos in the hash list on the sorted list */
    629 	cbpp = &hashcombos[FAREA];
    630 	do {
    631 		cbp = *--cbpp;
    632 		if (cbp == (struct combostr *)0)
    633 			continue;
    634 		*cbpp = (struct combostr *)0;
    635 		ecbp = sortcombos;
    636 		if (ecbp == (struct combostr *)0)
    637 			sortcombos = cbp;
    638 		else {
    639 			/* append to sort list */
    640 			pcbp = ecbp->c_prev;
    641 			pcbp->c_next = cbp;
    642 			ecbp->c_prev = cbp->c_prev;
    643 			cbp->c_prev->c_next = ecbp;
    644 			cbp->c_prev = pcbp;
    645 		}
    646 	} while (cbpp != hashcombos);
    647 }
    648 
    649 /*
    650  * Compute all level N combos of frames intersecting spot 'osp'
    651  * within the frame 'ocbp' and combo value 's'.
    652  */
    653 void
    654 makecombo(ocbp, osp, off, s)
    655 	struct combostr *ocbp;
    656 	struct spotstr *osp;
    657 	int off;
    658 	int s;
    659 {
    660 	struct combostr *cbp, *ncbp;
    661 	struct spotstr *sp;
    662 	struct elist *ep;
    663 	int n, c;
    664 	struct elist *nep;
    665 	struct combostr **scbpp;
    666 	int baseB, fcnt, emask, verts;
    667 	union comboval ocb;
    668 	struct ovlp_info vertices[1];
    669 
    670 	ocb.s = s;
    671 	baseB = ocb.c.a + ocb.c.b - 1;
    672 	fcnt = ocb.c.a - 2;
    673 	emask = fcnt ? ((ocb.c.b ? 0x1E : 0x1F) & ~(1 << off)) : 0;
    674 	for (ep = osp->s_empty; ep; ep = ep->e_next) {
    675 	    /* check for various kinds of overlap */
    676 	    cbp = ep->e_combo;
    677 	    verts = checkframes(cbp, ocbp, osp, s, vertices);
    678 	    if (verts < 0)
    679 		continue;
    680 
    681 	    /* check to see if this frame forms a valid loop */
    682 	    if (verts) {
    683 		sp = &board[vertices[0].o_intersect];
    684 #ifdef DEBUG
    685 		if (sp->s_occ != EMPTY) {
    686 		    sprintf(fmtbuf, "loop: %c %s", "BW"[curcolor],
    687 			stoc(sp - board));
    688 		    dlog(fmtbuf);
    689 		    whatsup(0);
    690 		}
    691 #endif
    692 		/*
    693 		 * It is a valid loop if the intersection spot
    694 		 * of the frame we are trying to attach is one
    695 		 * of the completion spots of the combostr
    696 		 * we are trying to attach the frame to.
    697 		 */
    698 		for (nep = sp->s_empty; nep; nep = nep->e_next) {
    699 		    if (nep->e_combo == cbp)
    700 			goto fnd;
    701 		    if (nep->e_combo->c_nframes < cbp->c_nframes)
    702 			break;
    703 		}
    704 		/* frame overlaps but not at a valid spot */
    705 		continue;
    706 	    fnd:
    707 		;
    708 	    }
    709 
    710 	    /* compute the first half of the combo value */
    711 	    c = cbp->c_combo.c.a + ocb.c.a - verts - 3;
    712 	    if (c > 4)
    713 		continue;
    714 
    715 	    /* compute the second half of the combo value */
    716 	    n = ep->e_fval.c.a + ep->e_fval.c.b - 1;
    717 	    if (baseB < n)
    718 		n = baseB;
    719 
    720 	    /* make a new combo! */
    721 	    ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
    722 		(cbp->c_nframes + 1) * sizeof(struct combostr *));
    723 	    if (ncbp == NULL)
    724 		panic("Out of memory!");
    725 	    scbpp = (struct combostr **)(ncbp + 1);
    726 	    if (sortcombo(scbpp, (struct combostr **)(cbp + 1), ocbp)) {
    727 		free(ncbp);
    728 		continue;
    729 	    }
    730 	    combocnt++;
    731 
    732 	    ncbp->c_combo.c.a = c;
    733 	    ncbp->c_combo.c.b = n;
    734 	    ncbp->c_link[0] = cbp;
    735 	    ncbp->c_link[1] = ocbp;
    736 	    ncbp->c_linkv[1].s = ocb.s;
    737 	    ncbp->c_voff[1] = off;
    738 	    ncbp->c_vertex = osp - board;
    739 	    ncbp->c_nframes = cbp->c_nframes + 1;
    740 	    ncbp->c_flg = ocb.c.b ? C_OPEN_1 : 0;
    741 	    ncbp->c_frameindex = ep->e_frameindex;
    742 	    /*
    743 	     * Update the completion spot mask of the frame we
    744 	     * are attaching 'ocbp' to so the intersection isn't
    745 	     * listed twice.
    746 	     */
    747 	    ncbp->c_framecnt[0] = ep->e_framecnt;
    748 	    ncbp->c_emask[0] = ep->e_emask;
    749 	    if (verts) {
    750 		ncbp->c_flg |= C_LOOP;
    751 		ncbp->c_dir = vertices[0].o_frameindex;
    752 		ncbp->c_framecnt[1] = fcnt - 1;
    753 		if (ncbp->c_framecnt[1]) {
    754 		    n = (vertices[0].o_intersect - ocbp->c_vertex) /
    755 			dd[ocbp->c_dir];
    756 		    ncbp->c_emask[1] = emask & ~(1 << n);
    757 		} else
    758 		    ncbp->c_emask[1] = 0;
    759 		ncbp->c_voff[0] = vertices[0].o_off;
    760 	    } else {
    761 		ncbp->c_dir = 0;
    762 		ncbp->c_framecnt[1] = fcnt;
    763 		ncbp->c_emask[1] = emask;
    764 		ncbp->c_voff[0] = ep->e_off;
    765 	    }
    766 
    767 	    if ((c == 1 && debug > 1) || debug > 3) {
    768 		sprintf(fmtbuf, "%c v%d i%d d%d c %d %d m %x %x o %d %d",
    769 		    "bw"[curcolor], verts, ncbp->c_frameindex, ncbp->c_dir,
    770 		    ncbp->c_framecnt[0], ncbp->c_framecnt[1],
    771 		    ncbp->c_emask[0], ncbp->c_emask[1],
    772 		    ncbp->c_voff[0], ncbp->c_voff[1]);
    773 		dlog(fmtbuf);
    774 		printcombo(ncbp, fmtbuf);
    775 		dlog(fmtbuf);
    776 	    }
    777 	    if (c > 1) {
    778 		/* record the empty spots that will complete this combo */
    779 		makeempty(ncbp);
    780 		combolen++;
    781 	    } else {
    782 		/* update board values */
    783 		updatecombo(ncbp, curcolor);
    784 	    }
    785 #ifdef DEBUG
    786 	    if (c == 1 && debug > 1 || debug > 4) {
    787 		markcombo(ncbp);
    788 		bdisp();
    789 		whatsup(0);
    790 		clearcombo(ncbp, 0);
    791 	    }
    792 #endif /* DEBUG */
    793 	}
    794 }
    795 
    796 #define MAXDEPTH	100
    797 struct elist	einfo[MAXDEPTH];
    798 struct combostr	*ecombo[MAXDEPTH];	/* separate from elist to save space */
    799 
    800 /*
    801  * Add the combostr 'ocbp' to the empty spots list for each empty spot
    802  * in 'ocbp' that will complete the combo.
    803  */
    804 void
    805 makeempty(ocbp)
    806 	struct combostr *ocbp;
    807 {
    808 	struct combostr *cbp, *tcbp, **cbpp;
    809 	struct elist *ep, *nep;
    810 	struct spotstr *sp;
    811 	int s, d, m, emask, i;
    812 	int nframes;
    813 
    814 	if (debug > 2) {
    815 		sprintf(fmtbuf, "E%c ", "bw"[curcolor]);
    816 		printcombo(ocbp, fmtbuf + 3);
    817 		dlog(fmtbuf);
    818 	}
    819 
    820 	/* should never happen but check anyway */
    821 	if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
    822 		return;
    823 
    824 	/*
    825 	 * The lower level combo can be pointed to by more than one
    826 	 * higher level 'struct combostr' so we can't modify the
    827 	 * lower level. Therefore, higher level combos store the
    828 	 * real mask of the lower level frame in c_emask[0] and the
    829 	 * frame number in c_frameindex.
    830 	 *
    831 	 * First we traverse the tree from top to bottom and save the
    832 	 * connection info. Then we traverse the tree from bottom to
    833 	 * top overwriting lower levels with the newer emask information.
    834 	 */
    835 	ep = &einfo[nframes];
    836 	cbpp = &ecombo[nframes];
    837 	for (cbp = ocbp; (tcbp = cbp->c_link[1]) != NULL;
    838 	    cbp = cbp->c_link[0]) {
    839 		ep--;
    840 		ep->e_combo = cbp;
    841 		*--cbpp = cbp->c_link[1];
    842 		ep->e_off = cbp->c_voff[1];
    843 		ep->e_frameindex = cbp->c_frameindex;
    844 		ep->e_fval.s = cbp->c_linkv[1].s;
    845 		ep->e_framecnt = cbp->c_framecnt[1];
    846 		ep->e_emask = cbp->c_emask[1];
    847 	}
    848 	cbp = ep->e_combo;
    849 	ep--;
    850 	ep->e_combo = cbp;
    851 	*--cbpp = cbp->c_link[0];
    852 	ep->e_off = cbp->c_voff[0];
    853 	ep->e_frameindex = 0;
    854 	ep->e_fval.s = cbp->c_linkv[0].s;
    855 	ep->e_framecnt = cbp->c_framecnt[0];
    856 	ep->e_emask = cbp->c_emask[0];
    857 
    858 	/* now update the emask info */
    859 	s = 0;
    860 	for (i = 2, ep += 2; i < nframes; i++, ep++) {
    861 		cbp = ep->e_combo;
    862 		nep = &einfo[ep->e_frameindex];
    863 		nep->e_framecnt = cbp->c_framecnt[0];
    864 		nep->e_emask = cbp->c_emask[0];
    865 
    866 		if (cbp->c_flg & C_LOOP) {
    867 			s++;
    868 			/*
    869 			 * Account for the fact that this frame connects
    870 			 * to a previous one (thus forming a loop).
    871 			 */
    872 			nep = &einfo[cbp->c_dir];
    873 			if (--nep->e_framecnt)
    874 				nep->e_emask &= ~(1 << cbp->c_voff[0]);
    875 			else
    876 				nep->e_emask = 0;
    877 		}
    878 	}
    879 
    880 	/*
    881 	 * We only need to update the emask values of "complete" loops
    882 	 * to include the intersection spots.
    883 	 */
    884 	if (s && ocbp->c_combo.c.a == 2) {
    885 		/* process loops from the top down */
    886 		ep = &einfo[nframes];
    887 		do {
    888 			ep--;
    889 			cbp = ep->e_combo;
    890 			if (!(cbp->c_flg & C_LOOP))
    891 				continue;
    892 
    893 			/*
    894 			 * Update the emask values to include the
    895 			 * intersection spots.
    896 			 */
    897 			nep = &einfo[cbp->c_dir];
    898 			nep->e_framecnt = 1;
    899 			nep->e_emask = 1 << cbp->c_voff[0];
    900 			ep->e_framecnt = 1;
    901 			ep->e_emask = 1 << ep->e_off;
    902 			ep = &einfo[ep->e_frameindex];
    903 			do {
    904 				ep->e_framecnt = 1;
    905 				ep->e_emask = 1 << ep->e_off;
    906 				ep = &einfo[ep->e_frameindex];
    907 			} while (ep > nep);
    908 		} while (ep != einfo);
    909 	}
    910 
    911 	/* check all the frames for completion spots */
    912 	for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
    913 		/* skip this frame if there are no incomplete spots in it */
    914 		if ((emask = ep->e_emask) == 0)
    915 			continue;
    916 		cbp = *cbpp;
    917 		sp = &board[cbp->c_vertex];
    918 		d = dd[cbp->c_dir];
    919 		for (s = 0, m = 1; s < 5; s++, sp += d, m <<= 1) {
    920 			if (sp->s_occ != EMPTY || !(emask & m))
    921 				continue;
    922 
    923 			/* add the combo to the list of empty spots */
    924 			nep = (struct elist *)malloc(sizeof(struct elist));
    925 			if (nep == NULL)
    926 			    panic("Out of memory!");
    927 			nep->e_combo = ocbp;
    928 			nep->e_off = s;
    929 			nep->e_frameindex = i;
    930 			if (ep->e_framecnt > 1) {
    931 				nep->e_framecnt = ep->e_framecnt - 1;
    932 				nep->e_emask = emask & ~m;
    933 			} else {
    934 				nep->e_framecnt = 0;
    935 				nep->e_emask = 0;
    936 			}
    937 			nep->e_fval.s = ep->e_fval.s;
    938 			if (debug > 2) {
    939 				sprintf(fmtbuf, "e %s o%d i%d c%d m%x %x",
    940 					stoc(sp - board),
    941 					nep->e_off,
    942 					nep->e_frameindex,
    943 					nep->e_framecnt,
    944 					nep->e_emask,
    945 					nep->e_fval.s);
    946 				dlog(fmtbuf);
    947 			}
    948 
    949 			/* sort by the number of frames in the combo */
    950 			nep->e_next = sp->s_nempty;
    951 			sp->s_nempty = nep;
    952 			elistcnt++;
    953 		}
    954 	}
    955 }
    956 
    957 /*
    958  * Update the board value based on the combostr.
    959  * This is called only if 'cbp' is a <1,x> combo.
    960  * We handle things differently depending on whether the next move
    961  * would be trying to "complete" the combo or trying to block it.
    962  */
    963 void
    964 updatecombo(cbp, color)
    965 	struct combostr *cbp;
    966 	int color;
    967 {
    968 	struct spotstr *sp;
    969 	struct combostr *tcbp;
    970 	int i, d;
    971 	int nframes, flg, s;
    972 	union comboval cb;
    973 
    974 	flg = 0;
    975 	/* save the top level value for the whole combo */
    976 	cb.c.a = cbp->c_combo.c.a;
    977 	nframes = cbp->c_nframes;
    978 
    979 	if (color != nextcolor)
    980 		memset(tmpmap, 0, sizeof(tmpmap));
    981 
    982 	for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
    983 		flg = cbp->c_flg;
    984 		cb.c.b = cbp->c_combo.c.b;
    985 		if (color == nextcolor) {
    986 			/* update the board value for the vertex */
    987 			sp = &board[cbp->c_vertex];
    988 			sp->s_nforce[color]++;
    989 			if (cb.s <= sp->s_combo[color].s) {
    990 				if (cb.s != sp->s_combo[color].s) {
    991 					sp->s_combo[color].s = cb.s;
    992 					sp->s_level[color] = nframes;
    993 				} else if (nframes < sp->s_level[color])
    994 					sp->s_level[color] = nframes;
    995 			}
    996 		} else {
    997 			/* update the board values for each spot in frame */
    998 			sp = &board[s = tcbp->c_vertex];
    999 			d = dd[tcbp->c_dir];
   1000 			i = (flg & C_OPEN_1) ? 6 : 5;
   1001 			for (; --i >= 0; sp += d, s += d) {
   1002 				if (sp->s_occ != EMPTY)
   1003 					continue;
   1004 				sp->s_nforce[color]++;
   1005 				if (cb.s <= sp->s_combo[color].s) {
   1006 					if (cb.s != sp->s_combo[color].s) {
   1007 						sp->s_combo[color].s = cb.s;
   1008 						sp->s_level[color] = nframes;
   1009 					} else if (nframes < sp->s_level[color])
   1010 						sp->s_level[color] = nframes;
   1011 				}
   1012 				BIT_SET(tmpmap, s);
   1013 			}
   1014 		}
   1015 
   1016 		/* mark the frame as being part of a <1,x> combo */
   1017 		board[tcbp->c_vertex].s_flg |= FFLAG << tcbp->c_dir;
   1018 	}
   1019 
   1020 	if (color != nextcolor) {
   1021 		/* update the board values for each spot in frame */
   1022 		sp = &board[s = cbp->c_vertex];
   1023 		d = dd[cbp->c_dir];
   1024 		i = (flg & C_OPEN_0) ? 6 : 5;
   1025 		for (; --i >= 0; sp += d, s += d) {
   1026 			if (sp->s_occ != EMPTY)
   1027 				continue;
   1028 			sp->s_nforce[color]++;
   1029 			if (cb.s <= sp->s_combo[color].s) {
   1030 				if (cb.s != sp->s_combo[color].s) {
   1031 					sp->s_combo[color].s = cb.s;
   1032 					sp->s_level[color] = nframes;
   1033 				} else if (nframes < sp->s_level[color])
   1034 					sp->s_level[color] = nframes;
   1035 			}
   1036 			BIT_SET(tmpmap, s);
   1037 		}
   1038 		if (nforce == 0)
   1039 			memcpy(forcemap, tmpmap, sizeof(tmpmap));
   1040 		else {
   1041 			for (i = 0; (unsigned int)i < MAPSZ; i++)
   1042 				forcemap[i] &= tmpmap[i];
   1043 		}
   1044 		nforce++;
   1045 	}
   1046 
   1047 	/* mark the frame as being part of a <1,x> combo */
   1048 	board[cbp->c_vertex].s_flg |= FFLAG << cbp->c_dir;
   1049 }
   1050 
   1051 /*
   1052  * Add combo to the end of the list.
   1053  */
   1054 void
   1055 appendcombo(cbp, color)
   1056 	struct combostr *cbp;
   1057 	int color __attribute__((__unused__));
   1058 {
   1059 	struct combostr *pcbp, *ncbp;
   1060 
   1061 	combolen++;
   1062 	ncbp = sortcombos;
   1063 	if (ncbp == (struct combostr *)0) {
   1064 		sortcombos = cbp;
   1065 		cbp->c_next = cbp;
   1066 		cbp->c_prev = cbp;
   1067 		return;
   1068 	}
   1069 	pcbp = ncbp->c_prev;
   1070 	cbp->c_next = ncbp;
   1071 	cbp->c_prev = pcbp;
   1072 	ncbp->c_prev = cbp;
   1073 	pcbp->c_next = cbp;
   1074 }
   1075 
   1076 /*
   1077  * Return zero if it is valid to combine frame 'fcbp' with the frames
   1078  * in 'cbp' and forms a linked chain of frames (i.e., a tree; no loops).
   1079  * Return positive if combining frame 'fcbp' to the frames in 'cbp'
   1080  * would form some kind of valid loop. Also return the intersection spots
   1081  * in 'vertices[]' beside the known intersection at spot 'osp'.
   1082  * Return -1 if 'fcbp' should not be combined with 'cbp'.
   1083  * 's' is the combo value for frame 'fcpb'.
   1084  */
   1085 int
   1086 checkframes(cbp, fcbp, osp, s, vertices)
   1087 	struct combostr *cbp;
   1088 	struct combostr *fcbp;
   1089 	struct spotstr *osp;
   1090 	int s;
   1091 	struct ovlp_info *vertices;
   1092 {
   1093 	struct combostr *tcbp, *lcbp;
   1094 	int i, n, mask, flg, verts, loop, index, fcnt;
   1095 	union comboval cb;
   1096 	u_char *str;
   1097 	short *ip;
   1098 
   1099 	lcbp = NULL;
   1100 	flg = 0;
   1101 
   1102 	cb.s = s;
   1103 	fcnt = cb.c.a - 2;
   1104 	verts = 0;
   1105 	loop = 0;
   1106 	index = cbp->c_nframes;
   1107 	n = (fcbp - frames) * FAREA;
   1108 	str = &overlap[n];
   1109 	ip = &intersect[n];
   1110 	/*
   1111 	 * i == which overlap bit to test based on whether 'fcbp' is
   1112 	 * an open or closed frame.
   1113 	 */
   1114 	i = cb.c.b ? 2 : 0;
   1115 	for (; (tcbp = cbp->c_link[1]) != NULL;
   1116 	    lcbp = cbp, cbp = cbp->c_link[0]) {
   1117 		if (tcbp == fcbp)
   1118 			return (-1);	/* fcbp is already included */
   1119 
   1120 		/* check for intersection of 'tcbp' with 'fcbp' */
   1121 		index--;
   1122 		mask = str[tcbp - frames];
   1123 		flg = cbp->c_flg;
   1124 		n = i + ((flg & C_OPEN_1) != 0);
   1125 		if (mask & (1 << n)) {
   1126 			/*
   1127 			 * The two frames are not independent if they
   1128 			 * both lie in the same line and intersect at
   1129 			 * more than one point.
   1130 			 */
   1131 			if (tcbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)))
   1132 				return (-1);
   1133 			/*
   1134 			 * If this is not the spot we are attaching
   1135 			 * 'fcbp' to and it is a reasonable intersection
   1136 			 * spot, then there might be a loop.
   1137 			 */
   1138 			n = ip[tcbp - frames];
   1139 			if (osp != &board[n]) {
   1140 				/* check to see if this is a valid loop */
   1141 				if (verts)
   1142 					return (-1);
   1143 				if (fcnt == 0 || cbp->c_framecnt[1] == 0)
   1144 					return (-1);
   1145 				/*
   1146 				 * Check to be sure the intersection is not
   1147 				 * one of the end points if it is an open
   1148 				 * ended frame.
   1149 				 */
   1150 				if ((flg & C_OPEN_1) &&
   1151 				    (n == tcbp->c_vertex ||
   1152 				     n == tcbp->c_vertex + 5 * dd[tcbp->c_dir]))
   1153 					return (-1);	/* invalid overlap */
   1154 				if (cb.c.b &&
   1155 				    (n == fcbp->c_vertex ||
   1156 				     n == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
   1157 					return (-1);	/* invalid overlap */
   1158 
   1159 				vertices->o_intersect = n;
   1160 				vertices->o_fcombo = cbp;
   1161 				vertices->o_link = 1;
   1162 				vertices->o_off = (n - tcbp->c_vertex) /
   1163 					dd[tcbp->c_dir];
   1164 				vertices->o_frameindex = index;
   1165 				verts++;
   1166 			}
   1167 		}
   1168 		n = i + ((flg & C_OPEN_0) != 0);
   1169 	}
   1170 	if (cbp == fcbp)
   1171 		return (-1);	/* fcbp is already included */
   1172 
   1173 	/* check for intersection of 'cbp' with 'fcbp' */
   1174 	mask = str[cbp - frames];
   1175 	if (mask & (1 << n)) {
   1176 		/*
   1177 		 * The two frames are not independent if they
   1178 		 * both lie in the same line and intersect at
   1179 		 * more than one point.
   1180 		 */
   1181 		if (cbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)))
   1182 			return (-1);
   1183 		/*
   1184 		 * If this is not the spot we are attaching
   1185 		 * 'fcbp' to and it is a reasonable intersection
   1186 		 * spot, then there might be a loop.
   1187 		 */
   1188 		n = ip[cbp - frames];
   1189 		if (osp != &board[n]) {
   1190 			/* check to see if this is a valid loop */
   1191 			if (verts)
   1192 				return (-1);
   1193 			if (fcnt == 0 || lcbp->c_framecnt[0] == 0)
   1194 				return (-1);
   1195 			/*
   1196 			 * Check to be sure the intersection is not
   1197 			 * one of the end points if it is an open
   1198 			 * ended frame.
   1199 			 */
   1200 			if ((flg & C_OPEN_0) &&
   1201 			    (n == cbp->c_vertex ||
   1202 			     n == cbp->c_vertex + 5 * dd[cbp->c_dir]))
   1203 				return (-1);	/* invalid overlap */
   1204 			if (cb.c.b &&
   1205 			    (n == fcbp->c_vertex ||
   1206 			     n == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
   1207 				return (-1);	/* invalid overlap */
   1208 
   1209 			vertices->o_intersect = n;
   1210 			vertices->o_fcombo = lcbp;
   1211 			vertices->o_link = 0;
   1212 			vertices->o_off = (n - cbp->c_vertex) /
   1213 				dd[cbp->c_dir];
   1214 			vertices->o_frameindex = 0;
   1215 			verts++;
   1216 		}
   1217 	}
   1218 	return (verts);
   1219 }
   1220 
   1221 /*
   1222  * Merge sort the frame 'fcbp' and the sorted list of frames 'cbpp' and
   1223  * store the result in 'scbpp'. 'curlevel' is the size of the 'cbpp' array.
   1224  * Return true if this list of frames is already in the hash list.
   1225  * Otherwise, add the new combo to the hash list.
   1226  */
   1227 int
   1228 sortcombo(scbpp, cbpp, fcbp)
   1229 	struct combostr **scbpp;
   1230 	struct combostr **cbpp;
   1231 	struct combostr *fcbp;
   1232 {
   1233 	struct combostr **spp, **cpp;
   1234 	struct combostr *cbp, *ecbp;
   1235 	int n, inx;
   1236 
   1237 #ifdef DEBUG
   1238 	if (debug > 3) {
   1239 		char *str;
   1240 
   1241 		sprintf(fmtbuf, "sortc: %s%c l%d", stoc(fcbp->c_vertex),
   1242 			pdir[fcbp->c_dir], curlevel);
   1243 		dlog(fmtbuf);
   1244 		str = fmtbuf;
   1245 		for (cpp = cbpp; cpp < cbpp + curlevel; cpp++) {
   1246 			sprintf(str, " %s%c", stoc((*cpp)->c_vertex),
   1247 				pdir[(*cpp)->c_dir]);
   1248 			str += strlen(str);
   1249 		}
   1250 		dlog(fmtbuf);
   1251 	}
   1252 #endif /* DEBUG */
   1253 
   1254 	/* first build the new sorted list */
   1255 	n = curlevel + 1;
   1256 	spp = scbpp + n;
   1257 	cpp = cbpp + curlevel;
   1258 	do {
   1259 		cpp--;
   1260 		if (fcbp > *cpp) {
   1261 			*--spp = fcbp;
   1262 			do
   1263 				*--spp = *cpp;
   1264 			while (cpp-- != cbpp);
   1265 			goto inserted;
   1266 		}
   1267 		*--spp = *cpp;
   1268 	} while (cpp != cbpp);
   1269 	*--spp = fcbp;
   1270 inserted:
   1271 
   1272 	/* now check to see if this list of frames has already been seen */
   1273 	cbp = hashcombos[inx = *scbpp - frames];
   1274 	if (cbp == (struct combostr *)0) {
   1275 		/*
   1276 		 * Easy case, this list hasn't been seen.
   1277 		 * Add it to the hash list.
   1278 		 */
   1279 		fcbp = (struct combostr *)
   1280 			((char *)scbpp - sizeof(struct combostr));
   1281 		hashcombos[inx] = fcbp;
   1282 		fcbp->c_next = fcbp->c_prev = fcbp;
   1283 		return (0);
   1284 	}
   1285 	ecbp = cbp;
   1286 	do {
   1287 		cbpp = (struct combostr **)(cbp + 1);
   1288 		cpp = cbpp + n;
   1289 		spp = scbpp + n;
   1290 		cbpp++;	/* first frame is always the same */
   1291 		do {
   1292 			if (*--spp != *--cpp)
   1293 				goto next;
   1294 		} while (cpp != cbpp);
   1295 		/* we found a match */
   1296 #ifdef DEBUG
   1297 		if (debug > 3) {
   1298 			char *str;
   1299 
   1300 			sprintf(fmtbuf, "sort1: n%d", n);
   1301 			dlog(fmtbuf);
   1302 			str = fmtbuf;
   1303 			for (cpp = scbpp; cpp < scbpp + n; cpp++) {
   1304 				sprintf(str, " %s%c", stoc((*cpp)->c_vertex),
   1305 					pdir[(*cpp)->c_dir]);
   1306 				str += strlen(str);
   1307 			}
   1308 			dlog(fmtbuf);
   1309 			printcombo(cbp, fmtbuf);
   1310 			dlog(fmtbuf);
   1311 			str = fmtbuf;
   1312 			cbpp--;
   1313 			for (cpp = cbpp; cpp < cbpp + n; cpp++) {
   1314 				sprintf(str, " %s%c", stoc((*cpp)->c_vertex),
   1315 					pdir[(*cpp)->c_dir]);
   1316 				str += strlen(str);
   1317 			}
   1318 			dlog(fmtbuf);
   1319 		}
   1320 #endif /* DEBUG */
   1321 		return (1);
   1322 	next:
   1323 		;
   1324 	} while ((cbp = cbp->c_next) != ecbp);
   1325 	/*
   1326 	 * This list of frames hasn't been seen.
   1327 	 * Add it to the hash list.
   1328 	 */
   1329 	ecbp = cbp->c_prev;
   1330 	fcbp = (struct combostr *)((char *)scbpp - sizeof(struct combostr));
   1331 	fcbp->c_next = cbp;
   1332 	fcbp->c_prev = ecbp;
   1333 	cbp->c_prev = fcbp;
   1334 	ecbp->c_next = fcbp;
   1335 	return (0);
   1336 }
   1337 
   1338 /*
   1339  * Print the combo into string 'str'.
   1340  */
   1341 void
   1342 printcombo(cbp, str)
   1343 	struct combostr *cbp;
   1344 	char *str;
   1345 {
   1346 	struct combostr *tcbp;
   1347 
   1348 	sprintf(str, "%x/%d", cbp->c_combo.s, cbp->c_nframes);
   1349 	str += strlen(str);
   1350 	for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
   1351 		sprintf(str, " %s%c%x", stoc(tcbp->c_vertex), pdir[tcbp->c_dir],
   1352 			cbp->c_flg);
   1353 		str += strlen(str);
   1354 	}
   1355 	sprintf(str, " %s%c", stoc(cbp->c_vertex), pdir[cbp->c_dir]);
   1356 }
   1357 
   1358 #ifdef DEBUG
   1359 void
   1360 markcombo(ocbp)
   1361 	struct combostr *ocbp;
   1362 {
   1363 	struct combostr *cbp, *tcbp, **cbpp;
   1364 	struct elist *ep, *nep, **epp;
   1365 	struct spotstr *sp;
   1366 	int s, d, m, i;
   1367 	int nframes;
   1368 	int r, n, flg, cmask, omask;
   1369 
   1370 	/* should never happen but check anyway */
   1371 	if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
   1372 		return;
   1373 
   1374 	/*
   1375 	 * The lower level combo can be pointed to by more than one
   1376 	 * higher level 'struct combostr' so we can't modify the
   1377 	 * lower level. Therefore, higher level combos store the
   1378 	 * real mask of the lower level frame in c_emask[0] and the
   1379 	 * frame number in c_frameindex.
   1380 	 *
   1381 	 * First we traverse the tree from top to bottom and save the
   1382 	 * connection info. Then we traverse the tree from bottom to
   1383 	 * top overwriting lower levels with the newer emask information.
   1384 	 */
   1385 	ep = &einfo[nframes];
   1386 	cbpp = &ecombo[nframes];
   1387 	for (cbp = ocbp; tcbp = cbp->c_link[1]; cbp = cbp->c_link[0]) {
   1388 		ep--;
   1389 		ep->e_combo = cbp;
   1390 		*--cbpp = cbp->c_link[1];
   1391 		ep->e_off = cbp->c_voff[1];
   1392 		ep->e_frameindex = cbp->c_frameindex;
   1393 		ep->e_fval.s = cbp->c_linkv[1].s;
   1394 		ep->e_framecnt = cbp->c_framecnt[1];
   1395 		ep->e_emask = cbp->c_emask[1];
   1396 	}
   1397 	cbp = ep->e_combo;
   1398 	ep--;
   1399 	ep->e_combo = cbp;
   1400 	*--cbpp = cbp->c_link[0];
   1401 	ep->e_off = cbp->c_voff[0];
   1402 	ep->e_frameindex = 0;
   1403 	ep->e_fval.s = cbp->c_linkv[0].s;
   1404 	ep->e_framecnt = cbp->c_framecnt[0];
   1405 	ep->e_emask = cbp->c_emask[0];
   1406 
   1407 	/* now update the emask info */
   1408 	s = 0;
   1409 	for (i = 2, ep += 2; i < nframes; i++, ep++) {
   1410 		cbp = ep->e_combo;
   1411 		nep = &einfo[ep->e_frameindex];
   1412 		nep->e_framecnt = cbp->c_framecnt[0];
   1413 		nep->e_emask = cbp->c_emask[0];
   1414 
   1415 		if (cbp->c_flg & C_LOOP) {
   1416 			s++;
   1417 			/*
   1418 			 * Account for the fact that this frame connects
   1419 			 * to a previous one (thus forming a loop).
   1420 			 */
   1421 			nep = &einfo[cbp->c_dir];
   1422 			if (--nep->e_framecnt)
   1423 				nep->e_emask &= ~(1 << cbp->c_voff[0]);
   1424 			else
   1425 				nep->e_emask = 0;
   1426 		}
   1427 	}
   1428 
   1429 	/*
   1430 	 * We only need to update the emask values of "complete" loops
   1431 	 * to include the intersection spots.
   1432 	 */
   1433 	if (s && ocbp->c_combo.c.a == 2) {
   1434 		/* process loops from the top down */
   1435 		ep = &einfo[nframes];
   1436 		do {
   1437 			ep--;
   1438 			cbp = ep->e_combo;
   1439 			if (!(cbp->c_flg & C_LOOP))
   1440 				continue;
   1441 
   1442 			/*
   1443 			 * Update the emask values to include the
   1444 			 * intersection spots.
   1445 			 */
   1446 			nep = &einfo[cbp->c_dir];
   1447 			nep->e_framecnt = 1;
   1448 			nep->e_emask = 1 << cbp->c_voff[0];
   1449 			ep->e_framecnt = 1;
   1450 			ep->e_emask = 1 << ep->e_off;
   1451 			ep = &einfo[ep->e_frameindex];
   1452 			do {
   1453 				ep->e_framecnt = 1;
   1454 				ep->e_emask = 1 << ep->e_off;
   1455 				ep = &einfo[ep->e_frameindex];
   1456 			} while (ep > nep);
   1457 		} while (ep != einfo);
   1458 	}
   1459 
   1460 	/* mark all the frames with the completion spots */
   1461 	for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
   1462 		m = ep->e_emask;
   1463 		cbp = *cbpp;
   1464 		sp = &board[cbp->c_vertex];
   1465 		d = dd[s = cbp->c_dir];
   1466 		cmask = CFLAG << s;
   1467 		omask = (IFLAG | CFLAG) << s;
   1468 		s = ep->e_fval.c.b ? 6 : 5;
   1469 		for (; --s >= 0; sp += d, m >>= 1)
   1470 			sp->s_flg |= (m & 1) ? omask : cmask;
   1471 	}
   1472 }
   1473 
   1474 void
   1475 clearcombo(cbp, open)
   1476 	struct combostr *cbp;
   1477 	int open;
   1478 {
   1479 	struct spotstr *sp;
   1480 	struct combostr *tcbp;
   1481 	int d, n, mask;
   1482 
   1483 	for (; tcbp = cbp->c_link[1]; cbp = cbp->c_link[0]) {
   1484 		clearcombo(tcbp, cbp->c_flg & C_OPEN_1);
   1485 		open = cbp->c_flg & C_OPEN_0;
   1486 	}
   1487 	sp = &board[cbp->c_vertex];
   1488 	d = dd[n = cbp->c_dir];
   1489 	mask = ~((IFLAG | CFLAG) << n);
   1490 	n = open ? 6 : 5;
   1491 	for (; --n >= 0; sp += d)
   1492 		sp->s_flg &= mask;
   1493 }
   1494 
   1495 int
   1496 list_eq(scbpp, cbpp, n)
   1497 	struct combostr **scbpp;
   1498 	struct combostr **cbpp;
   1499 	int n;
   1500 {
   1501 	struct combostr **spp, **cpp;
   1502 
   1503 	spp = scbpp + n;
   1504 	cpp = cbpp + n;
   1505 	do {
   1506 		if (*--spp != *--cpp)
   1507 			return (0);
   1508 	} while (cpp != cbpp);
   1509 	/* we found a match */
   1510 	return (1);
   1511 }
   1512 #endif /* DEBUG */
   1513