root/games/gomoku/pickmove.c
/*      $NetBSD: pickmove.c,v 1.68 2022/05/29 22:03:29 rillig Exp $     */

/*
 * Copyright (c) 1994
 *      The Regents of the University of California.  All rights reserved.
 *
 * This code is derived from software contributed to Berkeley by
 * Ralph Campbell.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 3. Neither the name of the University nor the names of its contributors
 *    may be used to endorse or promote products derived from this software
 *    without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */

#include <sys/cdefs.h>
/*      @(#)pickmove.c  8.2 (Berkeley) 5/3/95   */
__RCSID("$NetBSD: pickmove.c,v 1.68 2022/05/29 22:03:29 rillig Exp $");

#include <stdlib.h>
#include <string.h>
#include <curses.h>
#include <limits.h>

#include "gomoku.h"

#define BITS_PER_INT    (sizeof(int) * CHAR_BIT)
#define MAPSZ           (BAREA / BITS_PER_INT)

#define BIT_SET(a, b)   ((a)[(b)/BITS_PER_INT] |= (1U << ((b) % BITS_PER_INT)))
#define BIT_TEST(a, b)  (((a)[(b)/BITS_PER_INT] & (1U << ((b) % BITS_PER_INT))) != 0)

/*
 * This structure is used to store overlap information between frames.
 */
struct overlap_info {
        spot_index      o_intersect;    /* intersection spot */
        u_char          o_off;          /* offset in frame of intersection */
        u_char          o_frameindex;   /* intersection frame index */
};

static struct combostr *hashcombos[FAREA];/* hash list for finding duplicates */
static struct combostr *sortcombos;     /* combos at higher levels */
static int combolen;                    /* number of combos in sortcombos */
static player_color nextcolor;          /* color of next move */
static int elistcnt;                    /* count of struct elist allocated */
static int combocnt;                    /* count of struct combostr allocated */
static unsigned int forcemap[MAPSZ];    /* map for blocking <1,x> combos */
static unsigned int tmpmap[MAPSZ];      /* map for blocking <1,x> combos */
static int nforce;                      /* count of opponent <1,x> combos */

static bool better(spot_index, spot_index, player_color);
static void scanframes(player_color);
static void makecombo2(struct combostr *, struct spotstr *, u_char, u_short);
static void addframes(unsigned int);
static void makecombo(struct combostr *, struct spotstr *, u_char, u_short);
static void appendcombo(struct combostr *);
static void updatecombo(struct combostr *, player_color);
static void makeempty(struct combostr *);
static int checkframes(struct combostr *, struct combostr *, struct spotstr *,
                    u_short, struct overlap_info *);
static bool sortcombo(struct combostr **, struct combostr **, struct combostr *);
#if !defined(DEBUG)
static void printcombo(struct combostr *, char *, size_t);
#endif

spot_index
pickmove(player_color us)
{

        /* first move is easy */
        if (game.nmoves == 0)
                return PT((BSZ + 1) / 2, (BSZ + 1) / 2);

        /* initialize all the board values */
        for (spot_index s = PT(BSZ, BSZ) + 1; s-- > PT(1, 1); ) {
                struct spotstr *sp = &board[s];
                sp->s_combo[BLACK].s = 0x601;
                sp->s_combo[WHITE].s = 0x601;
                sp->s_level[BLACK] = 255;
                sp->s_level[WHITE] = 255;
                sp->s_nforce[BLACK] = 0;
                sp->s_nforce[WHITE] = 0;
                sp->s_flags &= ~(FFLAGALL | MFLAGALL);
        }

        nforce = 0;
        memset(forcemap, 0, sizeof(forcemap));

        /* compute new values */
        player_color them = us != BLACK ? BLACK : WHITE;
        nextcolor = us;
        /*
         * TODO: Scanning for both frames misses that after loading the game
         *  K10 J9 M10 J10 O10 J11 Q10 J8 and playing K9, there are 2
         *  immediate winning moves J12 and J7. Finding the winning move
         *  takes too long.
         */
        scanframes(BLACK);
        scanframes(WHITE);

        /* find the spot with the highest value */
        spot_index os = PT(BSZ, BSZ);           /* our spot */
        spot_index ts = PT(BSZ, BSZ);           /* their spot */
        for (spot_index s = PT(BSZ, BSZ); s-- > PT(1, 1); ) {
                const struct spotstr *sp = &board[s];
                if (sp->s_occ != EMPTY)
                        continue;

                if (debug > 0 &&
                    (sp->s_combo[BLACK].cv_force == 1 ||
                     sp->s_combo[WHITE].cv_force == 1)) {
                        debuglog("- %s %x/%d %d %x/%d %d %d",
                            stoc(s),
                            sp->s_combo[BLACK].s, sp->s_level[BLACK],
                            sp->s_nforce[BLACK],
                            sp->s_combo[WHITE].s, sp->s_level[WHITE],
                            sp->s_nforce[WHITE],
                            sp->s_wval);
                }

                if (better(s, os, us))          /* pick our best move */
                        os = s;
                if (better(s, ts, them))        /* pick their best move */
                        ts = s;
        }

        if (debug > 0) {
                spot_index bs = us == BLACK ? os : ts;
                spot_index ws = us == BLACK ? ts : os;
                const struct spotstr *bsp = &board[bs];
                const struct spotstr *wsp = &board[ws];

                debuglog("B %s %x/%d %d %x/%d %d %d",
                    stoc(bs),
                    bsp->s_combo[BLACK].s, bsp->s_level[BLACK],
                    bsp->s_nforce[BLACK],
                    bsp->s_combo[WHITE].s, bsp->s_level[WHITE],
                    bsp->s_nforce[WHITE], bsp->s_wval);
                debuglog("W %s %x/%d %d %x/%d %d %d",
                    stoc(ws),
                    wsp->s_combo[WHITE].s, wsp->s_level[WHITE],
                    wsp->s_nforce[WHITE],
                    wsp->s_combo[BLACK].s, wsp->s_level[BLACK],
                    wsp->s_nforce[BLACK], wsp->s_wval);

                /*
                 * Check for more than one force that can't all be blocked
                 * with one move.
                 */
                if (board[ts].s_combo[them].cv_force == 1 &&
                    !BIT_TEST(forcemap, ts))
                        debuglog("*** Can't be blocked");
        }

        union comboval ocv = board[os].s_combo[us];
        union comboval tcv = board[ts].s_combo[them];

        /*
         * Block their combo only if we have to (i.e., if they are one move
         * away from completing a force, and we don't have a force that
         * we can complete which takes fewer moves to win).
         */
        if (tcv.cv_force <= 1 &&
            !(ocv.cv_force <= 1 &&
              tcv.cv_force + tcv.cv_win >= ocv.cv_force + ocv.cv_win))
                return ts;
        return os;
}

/*
 * Return true if spot 'as' is better than spot 'bs' for color 'us'.
 */
static bool
better(spot_index as, spot_index bs, player_color us)
{
        const struct spotstr *asp = &board[as];
        const struct spotstr *bsp = &board[bs];

        if (/* .... */ asp->s_combo[us].s != bsp->s_combo[us].s)
                return asp->s_combo[us].s < bsp->s_combo[us].s;
        if (/* .... */ asp->s_level[us] != bsp->s_level[us])
                return asp->s_level[us] < bsp->s_level[us];
        if (/* .... */ asp->s_nforce[us] != bsp->s_nforce[us])
                return asp->s_nforce[us] > bsp->s_nforce[us];

        player_color them = us != BLACK ? BLACK : WHITE;
        if (BIT_TEST(forcemap, as) != BIT_TEST(forcemap, bs))
                return BIT_TEST(forcemap, as);

        if (/* .... */ asp->s_combo[them].s != bsp->s_combo[them].s)
                return asp->s_combo[them].s < bsp->s_combo[them].s;
        if (/* .... */ asp->s_level[them] != bsp->s_level[them])
                return asp->s_level[them] < bsp->s_level[them];
        if (/* .... */ asp->s_nforce[them] != bsp->s_nforce[them])
                return asp->s_nforce[them] > bsp->s_nforce[them];

        if (/* .... */ asp->s_wval != bsp->s_wval)
                return asp->s_wval > bsp->s_wval;

        return (random() & 1) != 0;
}

static player_color curcolor;   /* implicit parameter to makecombo() */
static unsigned int curlevel;   /* implicit parameter to makecombo() */

static bool
four_in_a_row(player_color color, spot_index s, direction r)
{

        struct spotstr *sp = &board[s];
        union comboval cb = { .s = sp->s_fval[color][r].s };
        if (cb.s >= 0x101)
                return false;

        for (int off = 5 + cb.cv_win, d = dd[r]; off-- > 0; sp += d) {
                if (sp->s_occ != EMPTY)
                        continue;
                sp->s_combo[color].s = cb.s;
                sp->s_level[color] = 1;
        }
        return true;
}

/*
 * Scan the sorted list of non-empty frames and
 * update the minimum combo values for each empty spot.
 * Also, try to combine frames to find more complex (chained) moves.
 */
static void
scanframes(player_color color)
{
        struct combostr *ecbp;
        struct spotstr *sp;
        union comboval *cp;
        struct elist *nep;
        int r, n;
        union comboval cb;

        curcolor = color;

        /* check for empty list of frames */
        struct combostr *cbp = sortframes[color];
        if (cbp == NULL)
                return;

        if (four_in_a_row(color, cbp->c_vertex, cbp->c_dir))
                return;

        /*
         * Update the minimum combo value for each spot in the frame
         * and try making all combinations of two frames intersecting at
         * an empty spot.
         */
        n = combolen;
        ecbp = cbp;
        do {
                sp = &board[cbp->c_vertex];
                cp = &sp->s_fval[color][r = cbp->c_dir];
                int delta = dd[r];

                u_char off;
                if (cp->cv_win != 0) {
                        /*
                         * Since this is the first spot of an open-ended
                         * frame, we treat it as a closed frame.
                         */
                        cb.cv_force = cp->cv_force + 1;
                        cb.cv_win = 0;
                        if (cb.s < sp->s_combo[color].s) {
                                sp->s_combo[color].s = cb.s;
                                sp->s_level[color] = 1;
                        }
                        /*
                         * Try combining other frames that intersect
                         * at this spot.
                         */
                        makecombo2(cbp, sp, 0, cb.s);
                        if (cp->s != 0x101)
                                cb.s = cp->s;
                        else if (color != nextcolor)
                                memset(tmpmap, 0, sizeof(tmpmap));
                        sp += delta;
                        off = 1;
                } else {
                        cb.s = cp->s;
                        off = 0;
                }

                for (; off < 5; off++, sp += delta) {   /* for each spot */
                        if (sp->s_occ != EMPTY)
                                continue;
                        if (cp->s < sp->s_combo[color].s) {
                                sp->s_combo[color].s = cp->s;
                                sp->s_level[color] = 1;
                        }
                        if (cp->s == 0x101) {
                                sp->s_nforce[color]++;
                                if (color != nextcolor) {
                                        /* XXX: suspicious use of 'n' */
                                        n = (spot_index)(sp - board);
                                        BIT_SET(tmpmap, (spot_index)n);
                                }
                        }
                        /*
                         * Try combining other frames that intersect
                         * at this spot.
                         */
                        makecombo2(cbp, sp, off, cb.s);
                }

                if (cp->s == 0x101 && color != nextcolor) {
                        if (nforce == 0)
                                memcpy(forcemap, tmpmap, sizeof(tmpmap));
                        else {
                                for (int i = 0; (unsigned int)i < MAPSZ; i++)
                                        forcemap[i] &= tmpmap[i];
                        }
                }

                /* mark frame as having been processed */
                board[cbp->c_vertex].s_flags |= MFLAG << r;
        } while ((cbp = cbp->c_next) != ecbp);

        /*
         * Try to make new 3rd level combos, 4th level, etc.
         * Limit the search depth early in the game.
         */
        for (unsigned int level = 2;
             level <= 1 + game.nmoves / 2 && combolen > n; level++) {
                if (level >= 9)
                        break;  /* Do not think too long. */
                if (debug > 0) {
                        debuglog("%cL%u %d %d %d", "BW"[color],
                            level, combolen - n, combocnt, elistcnt);
                        refresh();
                }
                n = combolen;
                addframes(level);
        }

        /* scan for combos at empty spots */
        for (spot_index s = PT(BSZ, BSZ) + 1; s-- > PT(1, 1); ) {
                sp = &board[s];

                for (struct elist *ep = sp->s_empty; ep != NULL; ep = nep) {
                        cbp = ep->e_combo;
                        if (cbp->c_combo.s <= sp->s_combo[color].s) {
                                if (cbp->c_combo.s != sp->s_combo[color].s) {
                                        sp->s_combo[color].s = cbp->c_combo.s;
                                        sp->s_level[color] = cbp->c_nframes;
                                } else if (cbp->c_nframes < sp->s_level[color])
                                        sp->s_level[color] = cbp->c_nframes;
                        }
                        nep = ep->e_next;
                        free(ep);
                        elistcnt--;
                }
                sp->s_empty = NULL;

                for (struct elist *ep = sp->s_nempty; ep != NULL; ep = nep) {
                        cbp = ep->e_combo;
                        if (cbp->c_combo.s <= sp->s_combo[color].s) {
                                if (cbp->c_combo.s != sp->s_combo[color].s) {
                                        sp->s_combo[color].s = cbp->c_combo.s;
                                        sp->s_level[color] = cbp->c_nframes;
                                } else if (cbp->c_nframes < sp->s_level[color])
                                        sp->s_level[color] = cbp->c_nframes;
                        }
                        nep = ep->e_next;
                        free(ep);
                        elistcnt--;
                }
                sp->s_nempty = NULL;
        }

        /* remove old combos */
        if ((cbp = sortcombos) != NULL) {
                struct combostr *ncbp;

                /* scan the list */
                ecbp = cbp;
                do {
                        ncbp = cbp->c_next;
                        free(cbp);
                        combocnt--;
                } while ((cbp = ncbp) != ecbp);
                sortcombos = NULL;
        }
        combolen = 0;

#ifdef DEBUG
        if (combocnt != 0) {
                debuglog("scanframes: %c combocnt %d", "BW"[color],
                        combocnt);
                whatsup(0);
        }
        if (elistcnt != 0) {
                debuglog("scanframes: %c elistcnt %d", "BW"[color],
                        elistcnt);
                whatsup(0);
        }
#endif
}

/*
 * Compute all level 2 combos of frames intersecting spot 'osp'
 * within the frame 'ocbp' and combo value 'cv'.
 */
static void
makecombo2(struct combostr *ocbp, struct spotstr *osp, u_char off, u_short cv)
{
        struct combostr *ncbp;
        int baseB, fcnt, emask;
        union comboval ocb, fcb;
        struct combostr **scbpp, *fcbp;
        char tmp[128];

        /* try to combine a new frame with those found so far */
        ocb.s = cv;
        baseB = ocb.cv_force + ocb.cv_win - 1;
        fcnt = ocb.cv_force - 2;
        emask = fcnt != 0 ? ((ocb.cv_win != 0 ? 0x1E : 0x1F) & ~(1 << off)) : 0;

        for (direction r = 4; r-- > 0; ) {
            /* don't include frames that overlap in the same direction */
            if (r == ocbp->c_dir)
                continue;

            int d = dd[r];
            /*
             * Frame A combined with B is the same value as B combined with A
             * so skip frames that have already been processed (MFLAG).
             * Also skip blocked frames (BFLAG) and frames that are <1,x>
             * since combining another frame with it isn't valid.
             */
            int bmask = (BFLAG | FFLAG | MFLAG) << r;
            struct spotstr *fsp = osp;

            for (u_char f = 0; f < 5; f++, fsp -= d) {  /* for each frame */
                if (fsp->s_occ == BORDER)
                    break;
                if ((fsp->s_flags & bmask) != 0)
                    continue;

                /* don't include frames of the wrong color */
                fcb.s = fsp->s_fval[curcolor][r].s;
                if (fcb.cv_force >= 6)
                    continue;

                /*
                 * Get the combo value for this frame.
                 * If this is the end point of the frame,
                 * use the closed ended value for the frame.
                 */
                if ((f == 0 && fcb.cv_win != 0) || fcb.s == 0x101) {
                    fcb.cv_force++;
                    fcb.cv_win = 0;
                }

                /* compute combo value */
                int c = fcb.cv_force + ocb.cv_force - 3;
                if (c > 4)
                    continue;
                int n = fcb.cv_force + fcb.cv_win - 1;
                if (baseB < n)
                    n = baseB;

                /* make a new combo! */
                ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
                    2 * sizeof(struct combostr *));
                if (ncbp == NULL)
                    panic("Out of memory!");
                scbpp = (void *)(ncbp + 1);

                fcbp = &frames[fsp->s_frame[r]];
                if (ocbp < fcbp) {
                    scbpp[0] = ocbp;
                    scbpp[1] = fcbp;
                } else {
                    scbpp[0] = fcbp;
                    scbpp[1] = ocbp;
                }

                ncbp->c_combo.cv_force = c;
                ncbp->c_combo.cv_win = n;
                ncbp->c_link[0] = ocbp;
                ncbp->c_link[1] = fcbp;
                ncbp->c_linkv[0].s = ocb.s;
                ncbp->c_linkv[1].s = fcb.s;
                ncbp->c_voff[0] = off;
                ncbp->c_voff[1] = f;
                ncbp->c_vertex = (spot_index)(osp - board);
                ncbp->c_nframes = 2;
                ncbp->c_dir = 0;
                ncbp->c_frameindex = 0;
                ncbp->c_flags = ocb.cv_win != 0 ? C_OPEN_0 : 0;
                if (fcb.cv_win != 0)
                    ncbp->c_flags |= C_OPEN_1;
                ncbp->c_framecnt[0] = fcnt;
                ncbp->c_emask[0] = emask;
                ncbp->c_framecnt[1] = fcb.cv_force - 2;
                ncbp->c_emask[1] = ncbp->c_framecnt[1] != 0 ?
                    ((fcb.cv_win != 0 ? 0x1E : 0x1F) & ~(1 << f)) : 0;
                combocnt++;

                if ((c == 1 && debug > 1) || debug > 3) {
                    debuglog("%c c %d %d m %x %x o %d %d",
                        "bw"[curcolor],
                        ncbp->c_framecnt[0], ncbp->c_framecnt[1],
                        ncbp->c_emask[0], ncbp->c_emask[1],
                        ncbp->c_voff[0], ncbp->c_voff[1]);
                    printcombo(ncbp, tmp, sizeof(tmp));
                    debuglog("%s", tmp);
                }

                if (c > 1) {
                    /* record the empty spots that will complete this combo */
                    makeempty(ncbp);

                    /* add the new combo to the end of the list */
                    appendcombo(ncbp);
                } else {
                    updatecombo(ncbp, curcolor);
                    free(ncbp);
                    combocnt--;
                }
#ifdef DEBUG
                if ((c == 1 && debug > 1) || debug > 5) {
                    markcombo(ncbp);
                    bdisp();
                    whatsup(0);
                    clearcombo(ncbp, 0);
                }
#endif /* DEBUG */
            }
        }
}

/*
 * Scan the sorted list of frames and try to add a frame to
 * combinations of 'level' number of frames.
 */
static void
addframes(unsigned int level)
{
        struct combostr *cbp, *ecbp;
        struct spotstr *fsp;
        struct elist *nep;
        int r;
        struct combostr **cbpp, *pcbp;
        union comboval fcb, cb;

        curlevel = level;

        /* scan for combos at empty spots */
        player_color c = curcolor;
        for (spot_index s = PT(BSZ, BSZ) + 1; s-- > PT(1, 1); ) {
                struct spotstr *sp = &board[s];
                for (struct elist *ep = sp->s_empty; ep != NULL; ep = nep) {
                        cbp = ep->e_combo;
                        if (cbp->c_combo.s <= sp->s_combo[c].s) {
                                if (cbp->c_combo.s != sp->s_combo[c].s) {
                                        sp->s_combo[c].s = cbp->c_combo.s;
                                        sp->s_level[c] = cbp->c_nframes;
                                } else if (cbp->c_nframes < sp->s_level[c])
                                        sp->s_level[c] = cbp->c_nframes;
                        }
                        nep = ep->e_next;
                        free(ep);
                        elistcnt--;
                }
                sp->s_empty = sp->s_nempty;
                sp->s_nempty = NULL;
        }

        /* try to add frames to the uncompleted combos at level curlevel */
        cbp = ecbp = sortframes[curcolor];
        do {
                fsp = &board[cbp->c_vertex];
                r = cbp->c_dir;
                /* skip frames that are part of a <1,x> combo */
                if ((fsp->s_flags & (FFLAG << r)) != 0)
                        continue;

                /*
                 * Don't include <1,x> combo frames,
                 * treat it as a closed three in a row instead.
                 */
                fcb.s = fsp->s_fval[curcolor][r].s;
                if (fcb.s == 0x101)
                        fcb.s = 0x200;

                /*
                 * If this is an open-ended frame, use
                 * the combo value with the end closed.
                 */
                if (fsp->s_occ == EMPTY) {
                        if (fcb.cv_win != 0) {
                                cb.cv_force = fcb.cv_force + 1;
                                cb.cv_win = 0;
                        } else
                                cb.s = fcb.s;
                        makecombo(cbp, fsp, 0, cb.s);
                }

                /*
                 * The next four spots are handled the same for both
                 * open and closed ended frames.
                 */
                int d = dd[r];
                struct spotstr *sp = fsp + d;
                for (u_char off = 1; off < 5; off++, sp += d) {
                        if (sp->s_occ != EMPTY)
                                continue;
                        makecombo(cbp, sp, off, fcb.s);
                }
        } while ((cbp = cbp->c_next) != ecbp);

        /* put all the combos in the hash list on the sorted list */
        cbpp = &hashcombos[FAREA];
        do {
                cbp = *--cbpp;
                if (cbp == NULL)
                        continue;
                *cbpp = NULL;
                ecbp = sortcombos;
                if (ecbp == NULL)
                        sortcombos = cbp;
                else {
                        /* append to sort list */
                        pcbp = ecbp->c_prev;
                        pcbp->c_next = cbp;
                        ecbp->c_prev = cbp->c_prev;
                        cbp->c_prev->c_next = ecbp;
                        cbp->c_prev = pcbp;
                }
        } while (cbpp != hashcombos);
}

/*
 * Compute all level N combos of frames intersecting spot 'osp'
 * within the frame 'ocbp' and combo value 'cv'.
 */
static void
makecombo(struct combostr *ocbp, struct spotstr *osp, u_char off, u_short cv)
{
        struct combostr *cbp;
        struct spotstr *sp;
        struct combostr **scbpp;
        int baseB, fcnt, emask, verts;
        union comboval ocb;
        struct overlap_info ovi;
        char tmp[128];

        ocb.s = cv;
        baseB = ocb.cv_force + ocb.cv_win - 1;
        fcnt = ocb.cv_force - 2;
        emask = fcnt != 0 ? ((ocb.cv_win != 0 ? 0x1E : 0x1F) & ~(1 << off)) : 0;
        for (struct elist *ep = osp->s_empty; ep != NULL; ep = ep->e_next) {
            /* check for various kinds of overlap */
            cbp = ep->e_combo;
            verts = checkframes(cbp, ocbp, osp, cv, &ovi);
            if (verts < 0)
                continue;

            /* check to see if this frame forms a valid loop */
            if (verts > 0) {
                sp = &board[ovi.o_intersect];
#ifdef DEBUG
                if (sp->s_occ != EMPTY) {
                    debuglog("loop: %c %s", "BW"[curcolor],
                        stoc((spot_index)(sp - board)));
                    whatsup(0);
                }
#endif
                /*
                 * It is a valid loop if the intersection spot
                 * of the frame we are trying to attach is one
                 * of the completion spots of the combostr
                 * we are trying to attach the frame to.
                 */
                for (struct elist *nep = sp->s_empty;
                        nep != NULL; nep = nep->e_next) {
                    if (nep->e_combo == cbp)
                        goto fnd;
                    if (nep->e_combo->c_nframes < cbp->c_nframes)
                        break;
                }
                /* frame overlaps but not at a valid spot */
                continue;
            fnd:
                ;
            }

            /* compute the first half of the combo value */
            int c = cbp->c_combo.cv_force + ocb.cv_force - verts - 3;
            if (c > 4)
                continue;

            /* compute the second half of the combo value */
            int n = ep->e_fval.cv_force + ep->e_fval.cv_win - 1;
            if (baseB < n)
                n = baseB;

            /* make a new combo! */
            struct combostr *ncbp = malloc(sizeof(struct combostr) +
                (cbp->c_nframes + 1) * sizeof(struct combostr *));
            if (ncbp == NULL)
                panic("Out of memory!");
            scbpp = (void *)(ncbp + 1);
            if (sortcombo(scbpp, (void *)(cbp + 1), ocbp)) {
                free(ncbp);
                continue;
            }
            combocnt++;

            ncbp->c_combo.cv_force = c;
            ncbp->c_combo.cv_win = n;
            ncbp->c_link[0] = cbp;
            ncbp->c_link[1] = ocbp;
            ncbp->c_linkv[1].s = ocb.s;
            ncbp->c_voff[1] = off;
            ncbp->c_vertex = (spot_index)(osp - board);
            ncbp->c_nframes = cbp->c_nframes + 1;
            ncbp->c_flags = ocb.cv_win != 0 ? C_OPEN_1 : 0;
            ncbp->c_frameindex = ep->e_frameindex;
            /*
             * Update the completion spot mask of the frame we
             * are attaching 'ocbp' to so the intersection isn't
             * listed twice.
             */
            ncbp->c_framecnt[0] = ep->e_framecnt;
            ncbp->c_emask[0] = ep->e_emask;
            if (verts != 0) {
                ncbp->c_flags |= C_LOOP;
                ncbp->c_dir = ovi.o_frameindex;
                ncbp->c_framecnt[1] = fcnt - 1;
                if (ncbp->c_framecnt[1] != 0) {
                    n = (ovi.o_intersect - ocbp->c_vertex) / dd[ocbp->c_dir];
                    ncbp->c_emask[1] = emask & ~(1 << n);
                } else
                    ncbp->c_emask[1] = 0;
                ncbp->c_voff[0] = ovi.o_off;
            } else {
                ncbp->c_dir = 0;
                ncbp->c_framecnt[1] = fcnt;
                ncbp->c_emask[1] = emask;
                ncbp->c_voff[0] = ep->e_off;
            }

            if ((c == 1 && debug > 1) || debug > 3) {
                debuglog("%c v%d i%d d%d c %d %d m %x %x o %d %d",
                    "bw"[curcolor], verts, ncbp->c_frameindex, ncbp->c_dir,
                    ncbp->c_framecnt[0], ncbp->c_framecnt[1],
                    ncbp->c_emask[0], ncbp->c_emask[1],
                    ncbp->c_voff[0], ncbp->c_voff[1]);
                printcombo(ncbp, tmp, sizeof(tmp));
                debuglog("%s", tmp);
            }
            if (c > 1) {
                /* record the empty spots that will complete this combo */
                makeempty(ncbp);
                combolen++;
            } else {
                /* update board values */
                updatecombo(ncbp, curcolor);
            }
#ifdef DEBUG
            if ((c == 1 && debug > 1) || debug > 4) {
                markcombo(ncbp);
                bdisp();
                whatsup(0);
                clearcombo(ncbp, 0);
            }
#endif /* DEBUG */
        }
}

#define MAXDEPTH        100
static struct elist einfo[MAXDEPTH];
static struct combostr *ecombo[MAXDEPTH];       /* separate from elist to save space */

/*
 * Add the combostr 'ocbp' to the empty spots list for each empty spot
 * in 'ocbp' that will complete the combo.
 */
static void
makeempty(struct combostr *ocbp)
{
        struct combostr *cbp, **cbpp;
        struct elist *ep, *nep;
        struct spotstr *sp;
        int d, emask, i;
        int nframes;
        char tmp[128];

        if (debug > 2) {
                printcombo(ocbp, tmp, sizeof(tmp));
                debuglog("E%c %s", "bw"[curcolor], tmp);
        }

        /* should never happen but check anyway */
        if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
                return;

        /*
         * The lower level combo can be pointed to by more than one
         * higher level 'struct combostr' so we can't modify the
         * lower level. Therefore, higher level combos store the
         * real mask of the lower level frame in c_emask[0] and the
         * frame number in c_frameindex.
         *
         * First we traverse the tree from top to bottom and save the
         * connection info. Then we traverse the tree from bottom to
         * top overwriting lower levels with the newer emask information.
         */
        ep = &einfo[nframes];
        cbpp = &ecombo[nframes];
        for (cbp = ocbp; cbp->c_link[1] != NULL; cbp = cbp->c_link[0]) {
                ep--;
                ep->e_combo = cbp;
                *--cbpp = cbp->c_link[1];
                ep->e_off = cbp->c_voff[1];
                ep->e_frameindex = cbp->c_frameindex;
                ep->e_fval.s = cbp->c_linkv[1].s;
                ep->e_framecnt = cbp->c_framecnt[1];
                ep->e_emask = cbp->c_emask[1];
        }
        cbp = ep->e_combo;
        ep--;
        ep->e_combo = cbp;
        *--cbpp = cbp->c_link[0];
        ep->e_off = cbp->c_voff[0];
        ep->e_frameindex = 0;
        ep->e_fval.s = cbp->c_linkv[0].s;
        ep->e_framecnt = cbp->c_framecnt[0];
        ep->e_emask = cbp->c_emask[0];

        /* now update the emask info */
        int n = 0;
        for (i = 2, ep += 2; i < nframes; i++, ep++) {
                cbp = ep->e_combo;
                nep = &einfo[ep->e_frameindex];
                nep->e_framecnt = cbp->c_framecnt[0];
                nep->e_emask = cbp->c_emask[0];

                if ((cbp->c_flags & C_LOOP) != 0) {
                        n++;
                        /*
                         * Account for the fact that this frame connects
                         * to a previous one (thus forming a loop).
                         */
                        nep = &einfo[cbp->c_dir];
                        if (--nep->e_framecnt != 0)
                                nep->e_emask &= ~(1 << cbp->c_voff[0]);
                        else
                                nep->e_emask = 0;
                }
        }

        /*
         * We only need to update the emask values of "complete" loops
         * to include the intersection spots.
         */
        if (n != 0 && ocbp->c_combo.cv_force == 2) {
                /* process loops from the top down */
                ep = &einfo[nframes];
                do {
                        ep--;
                        cbp = ep->e_combo;
                        if ((cbp->c_flags & C_LOOP) == 0)
                                continue;

                        /*
                         * Update the emask values to include the
                         * intersection spots.
                         */
                        nep = &einfo[cbp->c_dir];
                        nep->e_framecnt = 1;
                        nep->e_emask = 1 << cbp->c_voff[0];
                        ep->e_framecnt = 1;
                        ep->e_emask = 1 << ep->e_off;
                        ep = &einfo[ep->e_frameindex];
                        do {
                                ep->e_framecnt = 1;
                                ep->e_emask = 1 << ep->e_off;
                                ep = &einfo[ep->e_frameindex];
                        } while (ep > nep);
                } while (ep != einfo);
        }

        /* check all the frames for completion spots */
        for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
                /* skip this frame if there are no incomplete spots in it */
                if ((emask = ep->e_emask) == 0)
                        continue;
                cbp = *cbpp;
                sp = &board[cbp->c_vertex];
                d = dd[cbp->c_dir];
                for (int off = 0, m = 1; off < 5; off++, sp += d, m <<= 1) {
                        if (sp->s_occ != EMPTY || (emask & m) == 0)
                                continue;

                        /* add the combo to the list of empty spots */
                        nep = (struct elist *)malloc(sizeof(struct elist));
                        if (nep == NULL)
                                panic("Out of memory!");
                        nep->e_combo = ocbp;
                        nep->e_off = off;
                        nep->e_frameindex = i;
                        if (ep->e_framecnt > 1) {
                                nep->e_framecnt = ep->e_framecnt - 1;
                                nep->e_emask = emask & ~m;
                        } else {
                                nep->e_framecnt = 0;
                                nep->e_emask = 0;
                        }
                        nep->e_fval.s = ep->e_fval.s;
                        if (debug > 2) {
                                debuglog("e %s o%d i%d c%d m%x %x",
                                    stoc((spot_index)(sp - board)),
                                    nep->e_off,
                                    nep->e_frameindex,
                                    nep->e_framecnt,
                                    nep->e_emask,
                                    nep->e_fval.s);
                        }

                        /* sort by the number of frames in the combo */
                        nep->e_next = sp->s_nempty;
                        sp->s_nempty = nep;
                        elistcnt++;
                }
        }
}

/*
 * Update the board value based on the combostr.
 * This is called only if 'cbp' is a <1,x> combo.
 * We handle things differently depending on whether the next move
 * would be trying to "complete" the combo or trying to block it.
 */
static void
updatecombo(struct combostr *cbp, player_color color)
{
        struct combostr *tcbp;
        union comboval cb;

        int flags = 0;
        /* save the top level value for the whole combo */
        cb.cv_force = cbp->c_combo.cv_force;
        u_char nframes = cbp->c_nframes;

        if (color != nextcolor)
                memset(tmpmap, 0, sizeof(tmpmap));

        for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
                flags = cbp->c_flags;
                cb.cv_win = cbp->c_combo.cv_win;
                if (color == nextcolor) {
                        /* update the board value for the vertex */
                        struct spotstr *sp = &board[cbp->c_vertex];
                        sp->s_nforce[color]++;
                        if (cb.s <= sp->s_combo[color].s) {
                                if (cb.s != sp->s_combo[color].s) {
                                        sp->s_combo[color].s = cb.s;
                                        sp->s_level[color] = nframes;
                                } else if (nframes < sp->s_level[color])
                                        sp->s_level[color] = nframes;
                        }
                } else {
                        /* update the board values for each spot in frame */
                        spot_index s = tcbp->c_vertex;
                        struct spotstr *sp = &board[s];
                        int d = dd[tcbp->c_dir];
                        int off = (flags & C_OPEN_1) != 0 ? 6 : 5;
                        for (; --off >= 0; sp += d, s += d) {
                                if (sp->s_occ != EMPTY)
                                        continue;
                                sp->s_nforce[color]++;
                                if (cb.s <= sp->s_combo[color].s) {
                                        if (cb.s != sp->s_combo[color].s) {
                                                sp->s_combo[color].s = cb.s;
                                                sp->s_level[color] = nframes;
                                        } else if (nframes < sp->s_level[color])
                                                sp->s_level[color] = nframes;
                                }
                                BIT_SET(tmpmap, s);
                        }
                }

                /* mark the frame as being part of a <1,x> combo */
                board[tcbp->c_vertex].s_flags |= FFLAG << tcbp->c_dir;
        }

        if (color != nextcolor) {
                /* update the board values for each spot in frame */
                spot_index s = cbp->c_vertex;
                struct spotstr *sp = &board[s];
                int d = dd[cbp->c_dir];
                int off = (flags & C_OPEN_0) != 0 ? 6 : 5;
                for (; --off >= 0; sp += d, s += d) {
                        if (sp->s_occ != EMPTY)
                                continue;
                        sp->s_nforce[color]++;
                        if (cb.s <= sp->s_combo[color].s) {
                                if (cb.s != sp->s_combo[color].s) {
                                        sp->s_combo[color].s = cb.s;
                                        sp->s_level[color] = nframes;
                                } else if (nframes < sp->s_level[color])
                                        sp->s_level[color] = nframes;
                        }
                        BIT_SET(tmpmap, s);
                }
                if (nforce == 0)
                        memcpy(forcemap, tmpmap, sizeof(tmpmap));
                else {
                        for (int i = 0; (unsigned int)i < MAPSZ; i++)
                                forcemap[i] &= tmpmap[i];
                }
                nforce++;
        }

        /* mark the frame as being part of a <1,x> combo */
        board[cbp->c_vertex].s_flags |= FFLAG << cbp->c_dir;
}

/*
 * Add combo to the end of the list.
 */
static void
appendcombo(struct combostr *cbp)
{
        struct combostr *pcbp, *ncbp;

        combolen++;
        ncbp = sortcombos;
        if (ncbp == NULL) {
                sortcombos = cbp;
                cbp->c_next = cbp;
                cbp->c_prev = cbp;
                return;
        }
        pcbp = ncbp->c_prev;
        cbp->c_next = ncbp;
        cbp->c_prev = pcbp;
        ncbp->c_prev = cbp;
        pcbp->c_next = cbp;
}

/*
 * Return zero if it is valid to combine frame 'fcbp' with the frames
 * in 'cbp' and forms a linked chain of frames (i.e., a tree; no loops).
 * Return positive if combining frame 'fcbp' to the frames in 'cbp'
 * would form some kind of valid loop. Also return the intersection spot
 * in 'ovi' beside the known intersection at spot 'osp'.
 * Return -1 if 'fcbp' should not be combined with 'cbp'.
 * 'cv' is the combo value for frame 'fcbp'.
 */
static int
checkframes(struct combostr *cbp, struct combostr *fcbp, struct spotstr *osp,
            u_short cv, struct overlap_info *ovi)
{
        struct combostr *tcbp, *lcbp;
        int ovbit, n, mask, flags, fcnt;
        union comboval cb;
        u_char *str;

        lcbp = NULL;
        flags = 0;

        cb.s = cv;
        fcnt = cb.cv_force - 2;
        int verts = 0;
        u_char myindex = cbp->c_nframes;
        n = (frame_index)(fcbp - frames) * FAREA;
        str = &overlap[n];
        spot_index *ip = &intersect[n];
        /*
         * ovbit == which overlap bit to test based on whether 'fcbp' is
         * an open or closed frame.
         */
        ovbit = cb.cv_win != 0 ? 2 : 0;
        for (; (tcbp = cbp->c_link[1]) != NULL;
            lcbp = cbp, cbp = cbp->c_link[0]) {
                if (tcbp == fcbp)
                        return -1;      /* fcbp is already included */

                /* check for intersection of 'tcbp' with 'fcbp' */
                myindex--;
                mask = str[tcbp - frames];
                flags = cbp->c_flags;
                n = ovbit + ((flags & C_OPEN_1) != 0 ? 1 : 0);
                if ((mask & (1 << n)) != 0) {
                        /*
                         * The two frames are not independent if they
                         * both lie in the same line and intersect at
                         * more than one point.
                         */
                        if (tcbp->c_dir == fcbp->c_dir &&
                            (mask & (0x10 << n)) != 0)
                                return -1;
                        /*
                         * If this is not the spot we are attaching
                         * 'fcbp' to, and it is a reasonable intersection
                         * spot, then there might be a loop.
                         */
                        spot_index s = ip[tcbp - frames];
                        if (osp != &board[s]) {
                                /* check to see if this is a valid loop */
                                if (verts != 0)
                                        return -1;
                                if (fcnt == 0 || cbp->c_framecnt[1] == 0)
                                        return -1;
                                /*
                                 * Check to be sure the intersection is not
                                 * one of the end points if it is an
                                 * open-ended frame.
                                 */
                                if ((flags & C_OPEN_1) != 0 &&
                                    (s == tcbp->c_vertex ||
                                     s == tcbp->c_vertex + 5 * dd[tcbp->c_dir]))
                                        return -1;      /* invalid overlap */
                                if (cb.cv_win != 0 &&
                                    (s == fcbp->c_vertex ||
                                     s == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
                                        return -1;      /* invalid overlap */

                                ovi->o_intersect = s;
                                ovi->o_off =
                                    (s - tcbp->c_vertex) / dd[tcbp->c_dir];
                                ovi->o_frameindex = myindex;
                                verts++;
                        }
                }
                n = ovbit + ((flags & C_OPEN_0) != 0 ? 1 : 0);
        }
        if (cbp == fcbp)
                return -1;      /* fcbp is already included */

        /* check for intersection of 'cbp' with 'fcbp' */
        mask = str[cbp - frames];
        if ((mask & (1 << n)) != 0) {
                /*
                 * The two frames are not independent if they
                 * both lie in the same line and intersect at
                 * more than one point.
                 */
                if (cbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)) != 0)
                        return -1;
                /*
                 * If this is not the spot we are attaching
                 * 'fcbp' to, and it is a reasonable intersection
                 * spot, then there might be a loop.
                 */
                spot_index s = ip[cbp - frames];
                if (osp != &board[s]) {
                        /* check to see if this is a valid loop */
                        if (verts != 0)
                                return -1;
                        if (fcnt == 0 || lcbp->c_framecnt[0] == 0)
                                return -1;
                        /*
                         * Check to be sure the intersection is not
                         * one of the end points if it is an open-ended
                         * frame.
                         */
                        if ((flags & C_OPEN_0) != 0 &&
                            (s == cbp->c_vertex ||
                             s == cbp->c_vertex + 5 * dd[cbp->c_dir]))
                                return -1;      /* invalid overlap */
                        if (cb.cv_win != 0 &&
                            (s == fcbp->c_vertex ||
                             s == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
                                return -1;      /* invalid overlap */

                        ovi->o_intersect = s;
                        ovi->o_off = (s - cbp->c_vertex) / dd[cbp->c_dir];
                        ovi->o_frameindex = 0;
                        verts++;
                }
        }
        return verts;
}

/*
 * Merge sort the frame 'fcbp' and the sorted list of frames 'cbpp' and
 * store the result in 'scbpp'. 'curlevel' is the size of the 'cbpp' array.
 * Return true if this list of frames is already in the hash list.
 * Otherwise, add the new combo to the hash list.
 */
static bool
sortcombo(struct combostr **scbpp, struct combostr **cbpp,
          struct combostr *fcbp)
{
        struct combostr **spp, **cpp;
        struct combostr *cbp, *ecbp;
        int inx;

#ifdef DEBUG
        if (debug > 3) {
                char buf[128];
                size_t pos;

                debuglog("sortc: %s%c l%u", stoc(fcbp->c_vertex),
                        pdir[fcbp->c_dir], curlevel);
                pos = 0;
                for (cpp = cbpp; cpp < cbpp + curlevel; cpp++) {
                        snprintf(buf + pos, sizeof(buf) - pos, " %s%c",
                                stoc((*cpp)->c_vertex), pdir[(*cpp)->c_dir]);
                        pos += strlen(buf + pos);
                }
                debuglog("%s", buf);
        }
#endif /* DEBUG */

        /* first build the new sorted list */
        unsigned int n = curlevel + 1;
        spp = scbpp + n;
        cpp = cbpp + curlevel;
        do {
                cpp--;
                if (fcbp > *cpp) {
                        *--spp = fcbp;
                        do {
                                *--spp = *cpp;
                        } while (cpp-- != cbpp);
                        goto inserted;
                }
                *--spp = *cpp;
        } while (cpp != cbpp);
        *--spp = fcbp;
inserted:

        /* now check to see if this list of frames has already been seen */
        cbp = hashcombos[inx = (frame_index)(*scbpp - frames)];
        if (cbp == NULL) {
                /*
                 * Easy case, this list hasn't been seen.
                 * Add it to the hash list.
                 */
                fcbp = (void *)((char *)scbpp - sizeof(struct combostr));
                hashcombos[inx] = fcbp;
                fcbp->c_next = fcbp->c_prev = fcbp;
                return false;
        }
        ecbp = cbp;
        do {
                cbpp = (void *)(cbp + 1);
                cpp = cbpp + n;
                spp = scbpp + n;
                cbpp++; /* first frame is always the same */
                do {
                        if (*--spp != *--cpp)
                                goto next;
                } while (cpp != cbpp);
                /* we found a match */
#ifdef DEBUG
                if (debug > 3) {
                        char buf[128];
                        size_t pos;

                        debuglog("sort1: n%u", n);
                        pos = 0;
                        for (cpp = scbpp; cpp < scbpp + n; cpp++) {
                                snprintf(buf + pos, sizeof(buf) - pos, " %s%c",
                                        stoc((*cpp)->c_vertex),
                                        pdir[(*cpp)->c_dir]);
                                pos += strlen(buf + pos);
                        }
                        debuglog("%s", buf);
                        printcombo(cbp, buf, sizeof(buf));
                        debuglog("%s", buf);
                        cbpp--;
                        pos = 0;
                        for (cpp = cbpp; cpp < cbpp + n; cpp++) {
                                snprintf(buf + pos, sizeof(buf) - pos, " %s%c",
                                        stoc((*cpp)->c_vertex),
                                        pdir[(*cpp)->c_dir]);
                                pos += strlen(buf + pos);
                        }
                        debuglog("%s", buf);
                }
#endif /* DEBUG */
                return true;
        next:
                ;
        } while ((cbp = cbp->c_next) != ecbp);
        /*
         * This list of frames hasn't been seen.
         * Add it to the hash list.
         */
        ecbp = cbp->c_prev;
        fcbp = (void *)((char *)scbpp - sizeof(struct combostr));
        fcbp->c_next = cbp;
        fcbp->c_prev = ecbp;
        cbp->c_prev = fcbp;
        ecbp->c_next = fcbp;
        return false;
}

/*
 * Print the combo into string buffer 'buf'.
 */
#if !defined(DEBUG)
static
#endif
void
printcombo(struct combostr *cbp, char *buf, size_t max)
{
        struct combostr *tcbp;
        size_t pos = 0;

        snprintf(buf + pos, max - pos, "%x/%d",
            cbp->c_combo.s, cbp->c_nframes);
        pos += strlen(buf + pos);

        for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
                snprintf(buf + pos, max - pos, " %s%c%x",
                    stoc(tcbp->c_vertex), pdir[tcbp->c_dir], cbp->c_flags);
                pos += strlen(buf + pos);
        }
        snprintf(buf + pos, max - pos, " %s%c",
            stoc(cbp->c_vertex), pdir[cbp->c_dir]);
}

#ifdef DEBUG
void
markcombo(struct combostr *ocbp)
{
        struct combostr *cbp, **cbpp;
        struct elist *ep, *nep;
        struct spotstr *sp;
        int d, m, i;
        int nframes;
        int cmask, omask;

        /* should never happen but check anyway */
        if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
                return;

        /*
         * The lower level combo can be pointed to by more than one
         * higher level 'struct combostr' so we can't modify the
         * lower level. Therefore, higher level combos store the
         * real mask of the lower level frame in c_emask[0] and the
         * frame number in c_frameindex.
         *
         * First we traverse the tree from top to bottom and save the
         * connection info. Then we traverse the tree from bottom to
         * top overwriting lower levels with the newer emask information.
         */
        ep = &einfo[nframes];
        cbpp = &ecombo[nframes];
        for (cbp = ocbp; cbp->c_link[1] != NULL; cbp = cbp->c_link[0]) {
                ep--;
                ep->e_combo = cbp;
                *--cbpp = cbp->c_link[1];
                ep->e_off = cbp->c_voff[1];
                ep->e_frameindex = cbp->c_frameindex;
                ep->e_fval.s = cbp->c_linkv[1].s;
                ep->e_framecnt = cbp->c_framecnt[1];
                ep->e_emask = cbp->c_emask[1];
        }
        cbp = ep->e_combo;
        ep--;
        ep->e_combo = cbp;
        *--cbpp = cbp->c_link[0];
        ep->e_off = cbp->c_voff[0];
        ep->e_frameindex = 0;
        ep->e_fval.s = cbp->c_linkv[0].s;
        ep->e_framecnt = cbp->c_framecnt[0];
        ep->e_emask = cbp->c_emask[0];

        /* now update the emask info */
        int n = 0;
        for (i = 2, ep += 2; i < nframes; i++, ep++) {
                cbp = ep->e_combo;
                nep = &einfo[ep->e_frameindex];
                nep->e_framecnt = cbp->c_framecnt[0];
                nep->e_emask = cbp->c_emask[0];

                if ((cbp->c_flags & C_LOOP) != 0) {
                        n++;
                        /*
                         * Account for the fact that this frame connects
                         * to a previous one (thus forming a loop).
                         */
                        nep = &einfo[cbp->c_dir];
                        if (--nep->e_framecnt != 0)
                                nep->e_emask &= ~(1 << cbp->c_voff[0]);
                        else
                                nep->e_emask = 0;
                }
        }

        /*
         * We only need to update the emask values of "complete" loops
         * to include the intersection spots.
         */
        if (n != 0 && ocbp->c_combo.cv_force == 2) {
                /* process loops from the top down */
                ep = &einfo[nframes];
                do {
                        ep--;
                        cbp = ep->e_combo;
                        if ((cbp->c_flags & C_LOOP) == 0)
                                continue;

                        /*
                         * Update the emask values to include the
                         * intersection spots.
                         */
                        nep = &einfo[cbp->c_dir];
                        nep->e_framecnt = 1;
                        nep->e_emask = 1 << cbp->c_voff[0];
                        ep->e_framecnt = 1;
                        ep->e_emask = 1 << ep->e_off;
                        ep = &einfo[ep->e_frameindex];
                        do {
                                ep->e_framecnt = 1;
                                ep->e_emask = 1 << ep->e_off;
                                ep = &einfo[ep->e_frameindex];
                        } while (ep > nep);
                } while (ep != einfo);
        }

        /* mark all the frames with the completion spots */
        for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
                m = ep->e_emask;
                cbp = *cbpp;
                sp = &board[cbp->c_vertex];
                d = dd[cbp->c_dir];
                cmask = CFLAG << cbp->c_dir;
                omask = (IFLAG | CFLAG) << cbp->c_dir;
                int off = ep->e_fval.cv_win != 0 ? 6 : 5;
                /* LINTED 117: bitwise '>>' on signed value possibly nonportable */
                for (; --off >= 0; sp += d, m >>= 1)
                        sp->s_flags |= (m & 1) != 0 ? omask : cmask;
        }
}

void
clearcombo(struct combostr *cbp, int open)
{
        struct combostr *tcbp;

        for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
                clearcombo(tcbp, cbp->c_flags & C_OPEN_1);
                open = cbp->c_flags & C_OPEN_0;
        }

        struct spotstr *sp = &board[cbp->c_vertex];
        int d = dd[cbp->c_dir];
        int mask = ~((IFLAG | CFLAG) << cbp->c_dir);
        int n = open != 0 ? 6 : 5;
        for (; --n >= 0; sp += d)
                sp->s_flags &= mask;
}
#endif /* DEBUG */