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genquarticg.c
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/*****************************************************************************
* *
* Quarticgen by Brendan D. McKay and S. Narjess Afzaly *
* This program generates all quartic graphs up to a given order *
* *
* Parameters - <r> means read-only, <w> means write-only, <wr> means both: *
* nmax <r> # vertices. This must be at least 5 and *
* at most MAXN. *
* *
* numread <w> # irreducible graphs with n <= nmax vertices *
* numwritten <w> # quartic graphs of order nmax *
* diffnum <w> # all non-root (not irreducible ones) nodes in the *
* search tree (both accepted and rejected ones) *
* numaac <w> # accepted non-root nodes in the search tree *
* *
****************************************************************************/
//Just the nodes above or on the SL will be generated. The children of nodes oh the SL won't be investigated or generated.
#define MAXN 28
#define LEV1 2 //if (nmax<= threshold) then (SplitLevel = nmax-LEV1 ), otherwise (SplitLevel = LEV2).
#define LEV2 15
#define threshold 16
#define WORDSIZE 64
#include "gtools.h"
#include "quarticirred28.h"
#define MAXE (2*MAXN)
#define MAXP ((MAXE*MAXE))
static void (*outproc)(FILE*, graph*, int);
#ifdef OUTPROC
extern void OUTPROC(FILE*, graph*, int);
#endif
static DEFAULTOPTIONS_GRAPH(options);
static setword workspace[50];
static statsblk(stats);
// badan -c#: (-c1 --> only connected ones ) (-c2 --> only biconnected ones)
#define USAGE "genquarticg [-ugs -h -c -l] n [res/mod] [file]"
#define HELPTEXT \
" generate all non-isomorphic quartic graphs of a given order \n\
\n\
n : the number of the vertices\n\
file : the name of the output file (default stdout)\n\
-u : do not output any graphs, just generate and count them\n\
-g : use graph6 format for output (default)\n\
-s : use sparse6 format for output\n\
-h write a header (only with -g or -s). \n\
-c : only write connected graphs\n\
-C : only write biconnected graphs\n\
res/mod : only generate subset res out of subsets 0..mod-1\n\
-l : canonically label output graphs.\n" //??????? is it a good feature to add?
static FILE *outfile; /* file for output graphs */
static char *outfilename;
boolean nooutput; /* presence of -u */
boolean graph6; /* presence of -g */
boolean sparse6; /* presence of -s */
boolean header; /* presence of -h */
static int connec; /* 1 for -c, 2 for -C, 0 for neither */
boolean connec1; /* presence of -c */
boolean connec2; /* presence of -C */
boolean canonise; /* presence of -l */ //????????
typedef struct
{
int first;
int sec;
setword fn;
setword sn;
setword end;
int intersect;
int cond;
} edgestruct;
typedef struct
{
int first;
int sec;
int multp;
} pairstruct;
typedef struct
{
int base;
int first1;
int sec1;
int first2;
int sec2;
} dovistruct;
typedef enum
{ accept,reject,undef } CHOISE;
int *pCNT, *pnumpair, *pdoviorbit, *pepairorbit;
int (*pantidovi)[MAXN], (*pantipair)[MAXE], (*pantiedge)[MAXN];
int count[MAXN];
long numread;
nauty_counter numwritten;
pairstruct *pepair;
dovistruct *pdovi;
edgestruct *pedge;
setword active;
boolean goodret;
static int nmax, m, code, numcells, mod, res, splitlevel, splitcount;
//TMP static splitlevel,splitcount,mod,res; ??????TMP?
static void extend(int, graph *, edgestruct *, pairstruct *, int, int * , int *, setword *, int *, boolean );
static int init_refinex( int *, int *, int *, set *, int);
static void refinex( graph *, int *, int *, int , int *, int *, set *, boolean , int *, int , int );
static UPROC userautom1();
static UPROC userautom2();
static UPROC userautom3();
/************************************************************************/
static void
writeg6x(FILE *f, graph *g, int n)
/* write graph g with n vertices to file f in graph6 format */
{
writeg6(f, g, 1, n);
}
/************************************************************************/
static void
writes6x(FILE *f, graph *g, int n)
/* write graph g with n vertices to file f in graph6 format */
{
writes6(f, g, 1, n);
}
/***********************************************************************/
static void
nullwrite(FILE *f, graph *g, int n)
/* don't write graph g to file f */
{
}
/***********************************************************************/
static boolean
isconnected(graph *g, int n)
/* test if g is connected with vertices 0,1.., n-1 */
{
setword seen,expanded,toexpand,allbits;
int i;
allbits = ALLMASK(n);
expanded = bit[n-1];
seen = expanded | g[n-1];
while (seen != allbits && (toexpand = (seen & ~expanded))) /* not == */
{
i = FIRSTBITNZ(toexpand);
expanded |= bit[i];
seen |= g[i];
}
return seen == allbits;
}
/**********************************************************************/
static boolean
isbiconnected(graph *g, int n)
/* test if g is biconnected */
{
int sp,v,w;
setword sw;
setword visited;
int numvis,num[MAXN],lp[MAXN],stack[MAXN];
if (n <= 2) return FALSE;
visited = bit[0];
stack[0] = 0;
num[0] = 0;
lp[0] = 0;
numvis = 1;
sp = 0;
v = 0;
for (;;)
{
if ((sw = g[v] & ~visited)) /* not "==" */
{
w = v;
v = FIRSTBITNZ(sw); /* visit next child */
stack[++sp] = v;
visited |= bit[v];
lp[v] = num[v] = numvis++;
sw = g[v] & visited & ~bit[w];
while (sw)
{
w = FIRSTBITNZ(sw);
sw &= ~bit[w];
if (num[w] < lp[v]) lp[v] = num[w];
}
}
else
{
w = v; /* back up to parent */
if (sp <= 1) return numvis == n;
v = stack[--sp];
if (lp[w] >= num[v]) return FALSE;
if (lp[w] < lp[v]) lp[v] = lp[w];
}
}
}
/****************************************************************************
* extend recursively extends quartic graph until number of vertices *
* of the graph reaches nmax after which it is written to outputfile *
****************************************************************************/
static void
extend(int n, graph *g, edgestruct *edge, pairstruct *epair, int numpair,
int *epairorbit, int *multar, setword *zar, int *col00w, boolean connectflag)
{
int vm1, vm2, vm3, vm4, vt1, vt2, vt3, vt4, c, b, mcol1,
tcol, got_one, i, j, numpair1, numdovi, maxdovi, i1, j1, i2, j2,
temp, mult, multm, rely, numedge, dcol, dcolp, e1, e2;
int firsttime[MAXN], firsttimey[MAXN], multar1[MAXN],
col00[MAXN], col00w1[MAXN], doviorbit[3*MAXN],
epairorbit1[MAXP], l[MAXN], lab[MAXN], ptn[MAXN], orbits[MAXN];
int antipair[MAXE][MAXE], antiedge[MAXN][MAXN], antidovi[MAXN][MAXN];
setword x, y, z, bitj1, bitj2, biti2;
setword yi[MAXN], zar1[MAXN];
CHOISE colours;
pairstruct epair1[MAXP];
edgestruct edge1[MAXE];
graph gi[MAXN];
dovistruct dovi[3*MAXN];
dovistruct dovimax;
register setword gi1, gi2, gj1, gj2;
boolean conf;
/////////////////////////////////////////////////////////////////////////
if( n == splitlevel )
{
if (splitcount-- != 0) return;
splitcount = mod - 1;
}
/////////////////////////////////////////////////////////////////////////
for( c = 1; c < numpair; c++)
{
if( epairorbit[c] == c )
{
int eqn[MAXN],neqn;
setword zval[MAXN],eqcol0;
int dcol0,dcol1;
setword xn;
e1 = epair[c].first;
e2 = epair[c].sec;
vm1 = edge[e1].first;
vm2 = edge[e1].sec;
vm3 = edge[e2].first;
vm4 = edge[e2].sec;
g[vm1] ^= bit[n] | bit[vm2];
g[vm2] ^= bit[n] | bit[vm1];
g[vm3] ^= bit[n] | bit[vm4];
g[vm4] ^= bit[n] | bit[vm3];
g[n] = bit[vm1] | bit[vm2] | bit[vm3] | bit[vm4];
multar1[n] = multm = epair[c].multp;
got_one = 0;
dcol0 = ( (g[vm1]&g[vm2])!= bit[n]) + ((g[vm3]&g[vm4])!=bit[n]);
zar1[n] = z = g[vm1] ^ g[vm2] ^ g[vm3] ^ g[vm4];
col00w1[n] = col00[n] = -POPCOUNT(z) + ( (4-multm) << 6 );
zval[n] = z; eqcol0 = bit[n]; neqn = 0;
xn = g[n]|bit[n];
b = n-1;
while( (!got_one) && (b >= 0) )
{
if( !((g[b]|bit[b]) & xn ) && (multar[b] < 9 ) )
{
mult = multar1[b] = multar[b];
if( mult )
{
z = zar1[b] = zar[b];
col00[b] = col00w1[b] = col00w[b];
}
}
else
{
x = g[b];
bitj2 = x&(-x); x ^= bitj2; j2 = FIRSTBITNZ(bitj2);
biti2 = x&(-x); x ^= biti2; i2 = FIRSTBITNZ(biti2);
bitj1 = x&(-x); x ^= bitj1; j1 = FIRSTBITNZ(bitj1);
i1 = FIRSTBITNZ(x);
mult = 0;
if( (!(g[i1] & bitj1)) && (!(g[i2] & bitj2)) )
mult++;
if( (!(g[i1] & bitj2)) && (!(g[i2] & bitj1)) )
mult++;
if( (!(g[i1] & biti2)) && (!(g[j1] & bitj2)) )
mult++;
multar1[b] = mult;
if( mult )
{
z = zar1[b] = g[i1] ^ g[i2] ^ g[j1] ^ g[j2];
col00[b] = col00w1[b] = -POPCOUNT(z) + ( (4-mult) << 6 );
}
}
if( mult )
{
if( col00[b] > col00[n] )
got_one = 1;
else if ( col00[b] == col00[n] )
{
eqcol0 |= bit[b];
zval[b] = z;
eqn[neqn++] = b;
}
}
else
col00w1[b] = col00[b] = 0;
b--;
}
if (!got_one && neqn > 0)
{
int col00x,col00y,v;
setword yz;
yz = eqcol0 & zval[n];
col00x = MAXN-POPCOUNT(yz);
col00[n] += col00x;
while (--neqn >= 0)
{
v = eqn[neqn];
yz = eqcol0 & zval[v];
col00y = MAXN-POPCOUNT(yz);
if (col00y > col00x)
{
got_one = 1;
break;
}
else col00[v] += col00y;
}
}
if ( !got_one )
{
numcells = init_refinex( col00, lab, ptn, &active, n);
refinex(g, lab, ptn, 0, &numcells, count, &active, TRUE, &code, 1, n+1);
if( code == -1 )
got_one = 1;
if ( !got_one )
mcol1 = ((col00[vm1] + col00[vm2] ) * (col00[vm3] + col00[vm4]));
}
numdovi = 0;
j = n;
while( (!got_one) && ( (j==n) || (ptn[j]) ) )
{
b = lab[j];
if( b != n)
{
x = g[b];
TAKEBIT(i1,x);
TAKEBIT(j1,x);
TAKEBIT(i2,x);
TAKEBIT(j2,x);
for(i=0; i < 3 && !got_one; i++)
{
if(i == 0)
{
vt1 = i1;
vt2 = j1;
vt3 = i2;
vt4 = j2;
}
if(i == 1)
{
vt1 = i1;
vt2 = i2;
vt3 = j1;
vt4 = j2;
}
if(i == 2)
{
vt1 = i1;
vt2 = j2;
vt3 = j1;
vt4 = i2;
}
if( vt3 > vt4 )
{
temp = vt3;
vt3 = vt4;
vt4 = temp;
}
if( (!(g[vt1] & bit[vt2])) && (!(g[vt3] & bit[vt4])) && (!got_one) )
{
tcol = ((col00[vt1] + col00[vt2] ) * (col00[vt3] + col00[vt4]));
dcol1 = ((g[vt1]&g[vt2])!=bit[b]) + ((g[vt3]&g[vt4])!=bit[b]);
if( dcol1 < dcol0 || (dcol1 == dcol0 && tcol < mcol1 ))
got_one = 1;
else if( dcol1 == dcol0 && tcol == mcol1 )
{
dovi[numdovi].base = b;
dovi[numdovi].first1 = vt1;
dovi[numdovi].sec1 = vt2;
dovi[numdovi].first2 = vt3;
dovi[numdovi].sec2 = vt4;
antidovi[b][vt2] =numdovi;
numdovi++;
}
}
}
}
j--;
if(j<0)
break;
}
if( (!(g[vm1] & bit[vm3])) && (!(g[vm2] & bit[vm4])) && (!got_one) )
{
if( vm2 < vm4 )
{
tcol = ((col00[vm1] + col00[vm3] ) * (col00[vm2] + col00[vm4]));
dcol1 = ((g[vm1]&g[vm3])!=bit[n]) + ((g[vm2]&g[vm4])!=bit[n]);
if (dcol1 < dcol0 || (dcol1 == dcol0 && tcol < mcol1 ))
got_one = 1;
else if( dcol1 == dcol0 && tcol == mcol1 )
{
dovi[numdovi].base = n;
dovi[numdovi].first1 = vm1;
dovi[numdovi].sec1 = vm3;
dovi[numdovi].first2 = vm2;
dovi[numdovi].sec2 = vm4;
antidovi[n][vm3] =numdovi;
numdovi++;
}
}
else
{
tcol = ((col00[vm1] + col00[vm3] ) * (col00[vm4] + col00[vm2]));
dcol1 = ((g[vm1]&g[vm3])!=bit[n]) + ((g[vm2]&g[vm4])!=bit[n]);
if (dcol1 < dcol0 || (dcol1 == dcol0 && tcol < mcol1 ))
got_one = 1;
else if( dcol1 == dcol0 && tcol == mcol1 )
{
dovi[numdovi].base = n;
dovi[numdovi].first1 = vm1;
dovi[numdovi].sec1 = vm3;
dovi[numdovi].first2 = vm4;
dovi[numdovi].sec2 = vm2;
antidovi[n][vm3] =numdovi;
numdovi++;
}
}
}
if( (!(g[vm1] & bit[vm4])) && (!(g[vm2] & bit[vm3])) && (!got_one) )
{
if( vm2 < vm3 )
{
tcol = ((col00[vm1] + col00[vm4] ) * (col00[vm2] + col00[vm3]));
dcol1 = ((g[vm1]&g[vm4])!=bit[n]) + ((g[vm2]&g[vm3])!=bit[n]);
if (dcol1 < dcol0 || (dcol1 == dcol0 && tcol < mcol1 ))
got_one = 1;
if( dcol1 == dcol0 && tcol == mcol1 )
{
dovi[numdovi].base = n;
dovi[numdovi].first1 = vm1;
dovi[numdovi].sec1 = vm4;
dovi[numdovi].first2 = vm2;
dovi[numdovi].sec2 = vm3;
antidovi[n][vm4] =numdovi;
numdovi++;
}
}
else
{
tcol = ((col00[vm1] + col00[vm4] ) * (col00[vm3] + col00[vm2]));
dcol1 = ((g[vm1]&g[vm4])!=bit[n]) + ((g[vm2]&g[vm3])!=bit[n]);
if (dcol1 < dcol0 || (dcol1 == dcol0 && tcol < mcol1 ))
got_one = 1;
if( dcol1 == dcol0 && tcol == mcol1 )
{
dovi[numdovi].base = n;
dovi[numdovi].first1 = vm1;
dovi[numdovi].sec1 = vm4;
dovi[numdovi].first2 = vm3;
dovi[numdovi].sec2 = vm2;
antidovi[n][vm4] =numdovi;
numdovi++;
}
}
}
if( got_one == 1 )
colours = reject;
if( (!got_one) && (!numdovi) )
colours = accept;
if( (!got_one) && (numdovi) )
{
colours = undef;
dovi[numdovi].base = n;
dovi[numdovi].first1 = vm1;
dovi[numdovi].sec1 = vm2;
dovi[numdovi].first2 = vm3;
dovi[numdovi].sec2 = vm4;
antidovi[n][vm2] =numdovi;
numdovi++;
}
/*****************************************************************************/
if( n+1 == nmax )
{
if( connec1 )
{
conf = TRUE;
if( !connectflag )
conf = isconnected(g, n+1);
}
if( !connec || (connec1 && conf ) || (connec2 && isbiconnected(g, n+1)) )
{
if( colours == accept )
{
(*outproc)( outfile, g, n+1);
++numwritten;
}
if (colours == undef)
{
for (i = 0; i < numdovi; i++)
doviorbit[i] = i;
pdoviorbit = doviorbit;
pdovi = dovi;
pantidovi = antidovi;
pCNT = &numdovi;
options.userautomproc = userautom2;
options.writeautoms = FALSE;
options.writemarkers = FALSE;
options.getcanon = TRUE;
options.defaultptn = FALSE; ///// 1.badan in FALSE SHAVAD, 2.COULR AVALI TARIF SHAD, 3.lab o ptn initialize shavand
nauty( g, lab, ptn, NULL, orbits, &options, &stats, workspace, 50, m, n+1, gi);
for (i = 0; i < n+1; i++)
l[lab[i]] = i;
dovimax.base = -1;
dovimax.first1= -1;
dovimax.sec1 = -1;
dovimax.first2 = -1;
dovimax.sec2 = -1;
for (i = 0; i < numdovi; i++)
{
b = l[dovi[i].base];
if( b >= dovimax.base )
{
vt1 = l[dovi[i].first1];
vt1 = l[dovi[i].first1];
vt2 = l[dovi[i].sec1];
vt3 = l[dovi[i].first2];
vt4 = l[dovi[i].sec2];
if( vt1 > vt2 )
{
temp = vt1;
vt1 = vt2;
vt2 = temp;
}
if( vt3 > vt4 )
{
temp = vt3;
vt3 = vt4;
vt4 = temp;
}
if( vt1 > vt3 )
{
temp = vt1;
vt1 = vt3;
vt3 = temp;
temp = vt2;
vt2 = vt4;
vt4 = temp;
}
if( (b > dovimax.base) || ( vt1 > dovimax.first1) ||
( vt1 == dovimax.first1 && vt2 > dovimax.sec1) ||
( vt1 == dovimax.first1 && vt2 == dovimax.sec1 && vt3 > dovimax.first2) ||
( vt1 == dovimax.first1 && vt2 == dovimax.sec1 && vt3 == dovimax.first2 && vt4 > dovimax.sec2) )
{
dovimax.base = b;
dovimax.first1 = vt1;
dovimax.sec1 = vt2;
dovimax.first2 = vt3;
dovimax.sec2 = vt4;
maxdovi = i;
}
}
}
if (doviorbit[maxdovi] == doviorbit[numdovi-1])
{
(*outproc)( outfile, g, n+1);
++numwritten;
}
}
}
}
/*****************************************************************************/
else
{
if( colours != reject)
{
epairorbit1[0] = 0;
numpair1 = 1;
setword yn;
yn = g[n] | bit[n];
numedge = 0;
for (i = 0; i < n+1; i++)
{
x = g[i] & BITMASK(i);
while (x)
{
y = x&(-x);
x ^= y;
j = FIRSTBITNZ(y);
edge1[numedge].first = i;
edge1[numedge].sec = j;
edge1[numedge].fn = (g[i] & (~bit[j]) );
edge1[numedge].sn = (g[j] & (~bit[i]) );
edge1[numedge].intersect = ( (g[i] & g[j]) != 0 ) ;
edge1[numedge].cond = !( (bit[i]&yn) && (bit[j]&yn ) );
antiedge[i][j] = numedge;
numedge++;
}
firsttimey[i] = firsttime[i] = 1;
}
for (e1 = 0; e1 < numedge; e1++)
{
i1 = edge1[e1].first;
j1 = edge1[e1].sec;
gi1 = edge1[e1].fn;
gj1 = edge1[e1].sn;
dcolp = edge1[e1].intersect;
for (e2 = e1+1; e2 < numedge; e2++)
{
antipair[e1][e2] = 0;
// while( (i1 == edge1[e2].first) && (e2 < numedge) )
while( e2 < numedge && (i1 == edge1[e2].first) )
{
e2++;
antipair[e1][e2] = 0;
}
if( e2 < numedge )
if( ( j1 != edge1[e2].first ) && ( j1 != edge1[e2].sec ) )
{
i2 = edge1[e2].first;
j2 = edge1[e2].sec;
gi2 = edge1[e2].fn;
gj2 = edge1[e2].sn;
dcol = dcolp + edge1[e2].intersect;
mult = 1;
if( (!(g[i1] & bit[j2])) && (!(g[i2] & bit[j1])) )
{
mult++;
if( ( ( ( gi1 & gj2 )!=0) + (( gi2 & gj1 )!=0) ) < dcol )
continue;
}
if( (!(g[i1] & bit[i2])) && (!(g[j1] & bit[j2])) )
{
mult++;
if( ( ( ( gi1 & gi2 )!=0) + (( gj1 & gj2 )!=0) ) < dcol )
continue;
}
rely = got_one = 0;
if( mult > multm )
{
if( edge1[e1].cond && edge1[e2].cond )
continue;
else for(i=1; i <= n/3 && rely < 1 && !got_one ; i++)
{
if( firsttimey[i] )
{
yi[i] = (g[n-i]|bit[n-i]);
firsttimey[i] = 0;
}
if( !( (bit[i1]&yi[i]) && (bit[j1]&yi[i]) ) && !( (bit[i2]&yi[i]) && (bit[j2]&yi[i]) ) )
{
rely++;
if( mult > multar1[n-i] && multar1[n-i] != 0 )
got_one = 1;
}
}
}
if( !got_one )
{
epair1[numpair1].first = e1;
epair1[numpair1].sec = e2;
epair1[numpair1].multp = mult;
epairorbit1[numpair1] = numpair1;
antipair[e1][e2] = numpair1;
numpair1++;
}
}
}
}
pepair = epair1;
pedge = edge1;
pnumpair = &numpair1;
pantipair = antipair;
pantiedge = antiedge;
pepairorbit = epairorbit1;
if( colours == accept )
{
options.userautomproc = userautom1;
options.writeautoms = FALSE;
options.writemarkers = FALSE;
options.getcanon = FALSE;
options.defaultptn = FALSE;
nauty(g, lab, ptn, NILSET, orbits, &options, &stats, workspace, 50, m, n+1, NILGRAPH);
if( connec1 )
{
conf = TRUE;
if( !connectflag )
conf = isconnected(g, n+1);
}
extend(n+1, g, edge1, epair1, numpair1, epairorbit1, multar1, zar1, col00w1, conf);
}
else
{
for (i = 0; i < numdovi; i++)
doviorbit[i] = i ;
pdoviorbit = doviorbit;
pdovi = dovi;
pantidovi = antidovi;
pCNT = &numdovi;
options.userautomproc = userautom3;
options.writeautoms = FALSE;
options.writemarkers = FALSE;
options.getcanon = TRUE;
options.defaultptn = FALSE;
nauty( g, lab, ptn, 0, orbits, &options, &stats, workspace, 50, m, n+1, gi);
for (i = 0; i < n+1; i++)
l[lab[i]]=i;
dovimax.base = -1;
dovimax.first1= -1;
dovimax.sec1 = -1;
dovimax.first2 = -1;
dovimax.sec2 = -1;
for (i = 0; i < numdovi; i++)
{
b = l[dovi[i].base];
if( b >= dovimax.base )
{
vt1 = l[dovi[i].first1];
vt2 = l[dovi[i].sec1];
vt3 = l[dovi[i].first2];
vt4 = l[dovi[i].sec2];
if( vt1 > vt2 )
{
temp = vt1;
vt1 = vt2;
vt2 = temp;
}
if( vt3 > vt4 )
{
temp = vt3;
vt3 = vt4;
vt4 = temp;
}
if( vt1 > vt3 )
{
temp = vt1;
vt1 = vt3;
vt3 = temp;
temp = vt2;
vt2 = vt4;
vt4 = temp;
}
if( (b > dovimax.base) ||
( vt1 > dovimax.first1 ) ||
( vt1 == dovimax.first1 && vt2 > dovimax.sec1) ||
( vt1 == dovimax.first1 && vt2 == dovimax.sec1 && vt3 > dovimax.first2) ||
( vt1 == dovimax.first1 && vt2 == dovimax.sec1 && vt3 == dovimax.first2 && vt4 > dovimax.sec2) )
{
dovimax.base = b;
dovimax.first1 = vt1;
dovimax.sec1 = vt2;
dovimax.first2 = vt3;
dovimax.sec2 = vt4;
maxdovi = i;
}
}
}
if (doviorbit[maxdovi] == doviorbit[numdovi-1])
{
if( connec1 )
{
conf = TRUE;
if( !connectflag )
conf = isconnected(g, n+1);
}
extend(n+1, g, edge1, epair1, numpair1, epairorbit1, multar1, zar1, col00w1, conf);
}
}
} // end if col..= rej..
} // end else >>> (if namx ==n+1)
g[vm1] ^= bit[n] | bit[vm2];
g[vm2] ^= bit[n] | bit[vm1];
g[vm3] ^= bit[n] | bit[vm4];
g[vm4] ^= bit[n] | bit[vm3];
g[n] = 0;
} // end if c..
} //end for c..
}
/*****************************************************************************
* *
* userautom1(count,perm,orbits,numorbits,stabvertex,n) is a simple *
* version of the procedure named by options.userautomproc. *
* *
*****************************************************************************/
static void
userautom1(int count, int *perm, int *orbits, int numorbits, int stabvertex, int n)
{
int epairperm[MAXP];
int vn1, vn2, vn3, vn4, etmp, i, e1, e2;
epairperm[0] = 0;
for (i = 1; i < *pnumpair; i++)
{
e1 = pepair[i].first;
e2 = pepair[i].sec;
vn1 = perm[pedge[e1].first];
vn2 = perm[pedge[e1].sec];
vn3 = perm[pedge[e2].first];
vn4 = perm[pedge[e2].sec];
if( vn1 > vn2 )
{
etmp = vn1;
vn1 = vn2;
vn2 = etmp;
}
if( vn3 > vn4 )
{
etmp = vn3;
vn3 = vn4;
vn4 = etmp;
}
if( vn1 > vn3 )
{
etmp = vn1;
vn1 = vn3;
vn3 = etmp;
etmp = vn2;
vn2 = vn4;
vn4 = etmp;
}
e1 = pantiedge[vn1][vn2];
e2 = pantiedge[vn3][vn4];
epairperm[i] = pantipair[e1][e2];
}
orbjoin(pepairorbit,epairperm,*pnumpair);
}
/*****************************************************************************
* *
* userautom2(count,perm,orbits,numorbits,stabvertex,n) is a simple *
* version of the procedure named by options.userautomproc. *
* *
*****************************************************************************/
static void
userautom2(int count, int *perm, int *orbits, int numorbits, int stabvertex, int n)
{
int doviperm[3*MAXN];
int vn1, vn2, vn3, vn4, vnb, i, etmp;
for (i = 0; i < *pCNT; i++)
{
vnb = perm[pdovi[i].base];
vn1 = perm[pdovi[i].first1];
vn2 = perm[pdovi[i].sec1];
vn3 = perm[pdovi[i].first2];
vn4 = perm[pdovi[i].sec2];
if( vn1 > vn2 )
{
etmp = vn1;
vn1 = vn2;
vn2 = etmp;
}
if( vn3 > vn4 )
{