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genrang.c
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genrang.c
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/* genrang.c version 2.3; B D McKay, July 13, 2017 */
/* TODO: Check allocs for no edges */
#define USAGE \
"genrang [-P#|-P#/#|-e#|-r#|-R#|-d#] [-l#] [-m#] [-t] [-T] [-a] \n" \
" [-s|-g|-z] [-S#] [-q] n|n1,n2 num [outfile]"
#define HELPTEXT \
" Generate random graphs.\n\
n : number of vertices\n\
n1,n2 : number of vertices (bipartite graph)\n\
num : number of graphs\n\
\n\
A bipartite variant is only available if specified below.\n\
\n\
-s : Write in sparse6 format (default)\n\
-g : Write in graph6 format\n\
-z : Make random digraphs and write in digraph6 format\n\
-P#/# : Give edge probability; -P# means -P1/#.\n\
Bipartite version available.\n\
-e# : Give the number of edges\n\
Bipartite version available.\n\
-r# : Make regular of specified degree\n\
-d# : Make regular of specified degree (pseudorandom)\n\
Bipartite version: this is the degree on the first side\n\
-R# : Make regular of specified degree but output\n\
as vertex count, edge count, then list of edges\n\
-l# : Maximum loop multiplicity (default 0)\n\
-m# : Maximum multiplicity of non-loop edge (default and minimum 1)\n\
-t : Make a random spanning tree of a complete graph\n\
or complete bipartite graph\n\
-T : Make a random tournament (implies -z)\n\
-a : Make invariant under a random permutation\n\
-S# : Specify random generator seed (default nondeterministic)\n\
-q : suppress auxiliary output\n"
#define MAXLREG 88 /* Max value for -r or -R switch (multigraphs) */
/* This is also the limit for -r if MAXN > 0. */
/* The limit for simple graphs is in naututil-h.in */
/*************************************************************************
Oct 27, 2004 : corrected handling of -P values
**************************************************************************/
#include "gtools.h"
static long seed;
/*************************************************************************/
static void
perminvar(graph *g, int *perm, int m, int n)
/* Add to g the least number of edges needed to make perm
an automorphism. */
{
int i,j,ii,jj;
set *gi,*gpi;
for (i = 0, gi = (set*)g; i < n; ++i, gi += m)
{
gpi = g + m * 1L * perm[i];
for (j = -1; (j = nextelement(gi,m,j)) >= 0; )
if (!ISELEMENT(gpi,perm[j]))
{
ii = perm[i];
jj = perm[j];
while (ii != i || jj != j)
{
ADDELEMENT(g+m*1L*ii,jj);
ii = perm[ii];
jj = perm[jj];
}
}
}
}
/**************************************************************************/
static void
gcomplement(graph *g, boolean loopstoo, int m, int n)
/* Replace g by its complement */
{
int i,j;
graph *gp;
#if MAXN
set mask[MAXM];
#else
DYNALLSTAT(set,mask,mask_sz);
DYNALLOC1(set,mask,mask_sz,m,"complement");
#endif
EMPTYSET(mask,m);
for (i = 0; i < n; ++i) ADDELEMENT(mask,i);
if (loopstoo)
{
for (i = 0, gp = g; i < n; ++i, gp += m)
{
for (j = 0; j < m; ++j) gp[j] ^= mask[j];
}
}
else
{
for (i = 0, gp = g; i < n; ++i, gp += m)
{
DELELEMENT(mask,i);
for (j = 0; j < m; ++j) gp[j] ^= mask[j];
ADDELEMENT(mask,i);
}
}
}
/**************************************************************************/
static void
gcomplement_bip(graph *g, int m, int n1, int n2)
/* Replace g by its bipartite complement */
{
int i,j,n;
graph *gp;
#if MAXN
set mask[MAXM];
#else
DYNALLSTAT(set,mask,mask_sz);
DYNALLOC1(set,mask,mask_sz,m,"complement");
#endif
n = n1 + n2;
EMPTYSET(mask,m);
for (i = n1; i < n; ++i) ADDELEMENT(mask,i);
for (i = 0, gp = g; i < n1; ++i, gp += m)
for (j = 0; j < m; ++j) gp[j] ^= mask[j];
EMPTYSET(mask,m);
for (i = 0; i < n1; ++i) ADDELEMENT(mask,i);
for (i = n1, gp = GRAPHROW(g,n1,m); i < n; ++i, gp += m)
for (j = 0; j < m; ++j) gp[j] ^= mask[j];
}
/**************************************************************************/
static void
ranedges(long e, boolean loopsok, graph *g, int m, int n)
/* Random graph with n vertices and e edges */
{
unsigned long ln,li,nc2,ned,sofar;
set *gi,*gj;
int i,j;
ln = n;
nc2 = (ln&1) ? ln*((ln-1)/2) : (ln/2)*(ln-1);
if (loopsok) nc2 += ln;
if (e + e > nc2) ned = nc2 - e;
else ned = e;
sofar = 0;
for (li = m*ln; --li != 0;) g[li] = 0;
g[0] = 0;
while (sofar < ned)
{
i = KRAN(n);
if (loopsok) j = KRAN(n);
else do { j = KRAN(n); } while (i == j);
gi = GRAPHROW(g,i,m);
if (!ISELEMENT(gi,j))
{
ADDELEMENT(gi,j);
gj = GRAPHROW(g,j,m);
ADDELEMENT(gj,i);
++sofar;
}
}
if (ned != e) gcomplement(g,loopsok,m,n);
}
/**************************************************************************/
static void
ranedges_bip(long e, graph *g, int m, int n1, int n2)
/* Random bipartite graph with n1+n2 vertices and e edges */
{
size_t li,nc2,ned,sofar;
set *gi,*gj;
int i,j,n;
n = n1 + n2;
nc2 = (size_t)n1*n2;
if (e + e > nc2) ned = nc2 - e;
else ned = e;
sofar = 0;
for (li = m*(size_t)n; --li != 0;) g[li] = 0;
g[0] = 0;
while (sofar < ned)
{
i = KRAN(n1);
j = n1 + KRAN(n2);
gi = GRAPHROW(g,i,m);
if (!ISELEMENT(gi,j))
{
ADDELEMENT(gi,j);
gj = GRAPHROW(g,j,m);
ADDELEMENT(gj,i);
++sofar;
}
}
if (ned != e) gcomplement_bip(g,m,n1,n2);
}
/**************************************************************************/
static void
grandtourn(graph *g, int m, int n)
/* Random tournament */
{
int i,j;
long li;
set *row,*col;
for (li = (long)m * (long)n; --li >= 0;) g[li] = 0;
for (i = 0, row = g; i < n; ++i, row += m)
{
for (j = i+1, col = GRAPHROW(g,i+1,m); j < n; ++j, col += m)
if (KRAN(2) < 1) ADDELEMENT(row,j);
else ADDELEMENT(col,i);
}
}
/**************************************************************************/
static void
grandtourn_bip(graph *g, int m, int n1, int n2)
/* Random bipartite tournament */
{
int i,j,n;
long li;
set *row,*col;
n = n1 + n2;
for (li = (long)m * (long)n; --li >= 0;) g[li] = 0;
for (i = 0, row = g; i < n1; ++i, row += m)
{
for (j = n1, col = GRAPHROW(g,n1,m); j < n; ++j, col += m)
if (KRAN(2) < 1) ADDELEMENT(row,j);
else ADDELEMENT(col,i);
}
}
/**************************************************************************/
static void
grandgraph(graph *g, boolean digraph, boolean loopsok,
int p1, int p2, int m, int n)
/* Random graph with probability p1/p2 */
{
int i,j;
long li;
set *row,*col;
for (li = (long)m * (long)n; --li >= 0;) g[li] = 0;
for (i = 0, row = g; i < n; ++i, row += m)
if (digraph)
{
for (j = 0; j < n; ++j)
if (KRAN(p2) < p1) ADDELEMENT(row,j);
if (!loopsok) DELELEMENT(row,i);
}
else
{
for (j = i + (!loopsok), col = GRAPHROW(g,j,m);
j < n; ++j, col += m)
if (KRAN(p2) < p1)
{
ADDELEMENT(row,j);
ADDELEMENT(col,i);
}
}
}
/**************************************************************************/
static void
grandgraph_bip(graph *g, boolean digraph,
int p1, int p2, int m, int n1, int n2)
/* Random bipartite graph with probability p1/p2 */
{
int i,j,n;
long li;
set *row,*col;
n = n1 + n2;
for (li = (long)m * (long)n; --li >= 0;) g[li] = 0;
for (i = 0, row = g; i < n1; ++i, row += m)
if (digraph)
{
for (j = n1; j < n; ++j)
if (KRAN(p2) < p1) ADDELEMENT(row,j);
}
else
{
for (j = n1, col = GRAPHROW(g,j,m);
j < n; ++j, col += m)
if (KRAN(p2) < p1)
{
ADDELEMENT(row,j);
ADDELEMENT(col,i);
}
}
}
/**************************************************************************/
static void
ranarcs(long e, boolean loopsok, graph *g, int m, int n)
/* Random digraph graph with n vertices and e edges */
{
unsigned long ln,li,nn,ned,sofar;
set *gi;
int i,j;
ln = n;
nn = (loopsok ? n*n : n*(n-1));
if (e + e > nn) ned = nn - e;
else ned = e;
sofar = 0;
for (li = m*ln; --li != 0;) g[li] = 0;
g[0] = 0;
while (sofar < ned)
{
i = KRAN(n);
if (loopsok) j = KRAN(n);
else do { j = KRAN(n); } while (i == j);
gi = GRAPHROW(g,i,m);
if (!ISELEMENT(gi,j))
{
ADDELEMENT(gi,j);
++sofar;
}
}
if (ned != e) gcomplement(g,loopsok,m,n);
}
/**************************************************************************/
static void
makeranreg(int *cub, int degree, int multmax, int loopmax, int n)
/* Make a random regular graph in cub[]. Each consecutive degree
entries of cub[] is set to the neighbours of one vertex.
The length of cub had better be at least degree*n */
{
long i,j,k,v,w,nn,mult;
boolean ok;
#if MAXN
int deg[MAXN],p[MAXLREG*MAXN];
#else
DYNALLSTAT(int,deg,deg_sz);
DYNALLSTAT(int,p,p_sz);
DYNALLSTAT(int,loops,loops_sz);
DYNALLOC1(int,deg,deg_sz,n,"genrang");
DYNALLOC2(int,p,p_sz,degree,n,"genrang");
DYNALLOC1(int,loops,loops_sz,n,"genrang");
#endif
nn = n;
for (i = j = 0; i < nn; ++i)
for (k = 0; k < degree; ++k)
p[j++] = i;
do
{
ok = TRUE;
for (j = degree*nn-1; j >= 1; j -= 2)
{
i = KRAN(j);
k = p[j-1];
p[j-1] = p[i];
p[i] = k;
}
for (i = 0; i < nn; ++i) deg[i] = loops[i] = 0;
for (j = degree*nn-1; j >= 1;)
{
v = p[j--];
w = p[j--];
if (v == w && ++loops[v] > loopmax)
{
ok = FALSE;
break;
}
if (v != w && multmax < degree)
{
mult = 0;
for (i = deg[w]; --i >= 0;)
if (cub[degree*w+i] == v && ++mult >= multmax) break;
if (i >= 0)
{
ok = FALSE;
break;
}
}
cub[degree*w+deg[w]++] = v;
cub[degree*v+deg[v]++] = w;
}
}
while (!ok);
}
/**************************************************************************/
static void
rundmodel(int *cub, int degree, int n)
/* Make a random-ish regular graph in cub[] using the d-model.
Each consecutive degree entries of cub[] is set to the neighbours
of one vertex. The length of cub had better be at least degree*n */
{
long iters,fails;
size_t i,j,navail;
int *cubi,*cubj,vi,vj,k;
boolean ok;
#if MAXN
int deg[MAXN],avail[MAXN*MAXLREG];
#else
DYNALLSTAT(int,deg,deg_sz);
DYNALLSTAT(int,avail,avail_sz);
DYNALLOC1(int,deg,deg_sz,n,"genrang");
DYNALLOC2(int,avail,avail_sz,n,degree,"genrang");
#endif
iters = 0;
do
{
ok = TRUE;
++iters;
k = 0;
for (i = 0; i < n; ++i)
{
deg[i] = 0;
for (j = 0; j < degree; ++j) avail[k++] = i;
}
navail = n*degree;
while (navail >= 2 && ok)
{
for (fails = 100 + navail; --fails >= 0;)
{
i = KRAN(navail);
do { j = KRAN(navail); } while (j == i);
vi = avail[i];
vj = avail[j];
if (vi == vj) continue;
cubi = cub + vi*degree;
cubj = cub + vj*degree;
for (k = deg[vi]; --k >= 0; ) if (cubi[k] == vj) break;
if (k < 0) break;
}
if (fails >= 0)
{
cubi[deg[vi]++] = vj;
cubj[deg[vj]++] = vi;
avail[i] = avail[navail-1];
--navail;
if (avail[i] == vj) j = i;
avail[j] = avail[navail-1];
--navail;
}
else
ok = FALSE;
}
if (navail > 0) ok = FALSE;
} while (!ok);
/* fprintf(stderr,">C %ld iters\n",iters); */
}
/**************************************************************************/
static void
ranregR(FILE *f, int degree, int multmax, int loopmax, int n)
/* Make a random regular graph of order n and degree d and write
it in f, as number of vertices, number of edges, list of edges */
{
long i,j,k,l;
int loops;
#if MAXN
int cub[MAXLREG*MAXN];
#else
DYNALLSTAT(int,cub,cub_sz);
DYNALLOC2(int,cub,cub_sz,degree,n,"genrang");
#endif
makeranreg(cub,degree,multmax,loopmax,n);
fprintf(f,"%d %ld\n",n,n*(long)degree/2);
l = j = 0;
for (i = 0; i < n; ++i)
{
loops = 0;
for (k = 0; k < degree; ++k, ++j)
if (i < cub[j] || (i == cub[j] && (++loops & 1) == 0))
{
if (l > 0 && l % 5 == 0) fprintf(f,"\n");
fprintf(f," %ld %d",i,cub[j]);
++l;
}
}
fprintf(f,"\n");
if (ferror(f)) gt_abort(">E genrang output error\n");
}
/**************************************************************************/
static void
ranreg(int degree, graph *g, int m, int n)
/* Make a random simple regular graph of order n and degree d and return
it in g. */
{
int i,j,k;
set *gi;
#if MAXN
int cub[MAXLREG*MAXN];
#else
DYNALLSTAT(int,cub,cub_sz);
DYNALLOC1(int,cub,cub_sz,degree*n,"genrang");
#endif
makeranreg(cub,degree,1,0,n);
j = 0;
for (i = 0, gi = (set*)g; i < n; ++i, gi += m)
{
EMPTYSET(gi,m);
for (k = 0; k < degree; ++k)
{
ADDELEMENT(gi,cub[j]);
j++;
}
}
}
/**************************************************************************/
static void
ranreglm_sg(int degree, sparsegraph *sg, int multmax, int loopmax, int n)
/* Make a sparse random regular graph of order n and degree d
* and return it in sg. */
{
int i,j,k,deg,loops;
long nde,k0;
#if MAXN
int cub[MAXLREG*MAXN];
#else
DYNALLSTAT(int,cub,cub_sz);
DYNALLOC1(int,cub,cub_sz,degree*n,"genrang");
#endif
makeranreg(cub,degree,multmax,loopmax,n);
SG_ALLOC(*sg,n,degree*n,"genrang");
sg->nv = n;
j = nde = 0;
for (i = 0; i < n; ++i)
{
sg->v[i] = k0 = i*degree;
loops = deg = 0;
for (k = 0; k < degree; ++k, ++j)
{
if (cub[j] == i)
{
/* Loops are in cub twice but sg once */
++loops;
if ((loops&1)) sg->e[k0+deg++] = i;
}
else
sg->e[k0+deg++] = cub[j];
}
sg->d[i] = deg;
nde += deg;
}
sg->nde = nde;
}
/**************************************************************************/
static void
dmodel_sg(int degree, sparsegraph *sg, int n)
/* Make a sparse random-ish regular graph of order n and degree d
* and return it in sg. */
{
int i,j,k,deg,comdeg;
long k0,nde;
#if MAXN
int cub[MAXLREG*MAXN];
boolean adj[MAXN];
#else
DYNALLSTAT(int,cub,cub_sz);
DYNALLSTAT(boolean,adj,adj_sz);
#endif
SG_ALLOC(*sg,n,degree*n,"dmodel_sg");
if (degree <= n-degree-1)
{
#if !MAXN
DYNALLOC1(int,cub,cub_sz,degree*n,"dmodel_sg");
#endif
rundmodel(cub,degree,n);
sg->nv = n;
j = nde = 0;
for (i = 0; i < n; ++i)
{
sg->v[i] = k0 = i*(long)degree;
deg = 0;
for (k = 0; k < degree; ++k, ++j)
sg->e[k0+deg++] = cub[j];
sg->d[i] = deg;
nde += deg;
}
sg->nde = nde;
}
else
{
comdeg = n - degree - 1;
#if !MAXN
DYNALLOC1(int,cub,cub_sz,comdeg*n,"dmodel_sg");
DYNALLOC1(boolean,adj,adj_sz,n,"dmodel_sg");
#endif
rundmodel(cub,comdeg,n);
sg->nv = n;
j = nde = 0;
for (i = 0; i < n; ++i)
{
sg->v[i] = k0 = i*(long)degree;
deg = 0;
for (k = 0; k < n; ++k) adj[k] = TRUE;
adj[i] = FALSE;
for (k = 0; k < comdeg; ++k, ++j) adj[cub[j]] = FALSE;
for (k = 0; k < n; ++k)
if (adj[k]) sg->e[k0+deg++] = k;
sg->d[i] = deg;
nde += deg;
}
sg->nde = nde;
}
}
/**************************************************************************/
static void
rundmodel_bip(int *cub, int deg1, int deg2, int n1, int n2)
/* Make a random-ish semiregular bipartite graph in cub[] using the d-model.
Each consecutive deg1/deg2 entries of cub[] is set to the neighbours
of one vertex. The length of cub had better be deg1*n1 */
{
long iters,fails;
size_t i,j,k,navail,ne;
int *cubi,*cubj,vi,vj,n;
boolean ok;
#if MAXN
int deg[MAXN],avail[MAXN*MAXLREG];
#else
DYNALLSTAT(int,deg,deg_sz);
DYNALLSTAT(int,avail,avail_sz);
n = n1 + n2;
DYNALLOC1(int,deg,deg_sz,n,"genrang");
DYNALLOC2(int,avail,avail_sz,n,2*deg1,"genrang");
#endif
ne = n1*(size_t)deg1;
iters = 0;
do
{
ok = TRUE;
++iters;
k = 0;
for (i = 0; i < n1; ++i)
{
deg[i] = 0;
for (j = 0; j < deg1; ++j) avail[k++] = i;
}
for (i = n1; i < n; ++i)
{
deg[i] = 0;
for (j = 0; j < deg2; ++j) avail[k++] = i;
}
navail = ne;
while (navail >= 1 && ok)
{
for (fails = 100 + navail; --fails >= 0;)
{
i = KRAN(navail);
j = ne + KRAN(navail);
vi = avail[i];
vj = avail[j];
cubi = cub + vi*deg1;
cubj = cub + ne + (vj-n1)*deg2;
for (k = 0; k < deg[vi]; ++k) if (cubi[k] == vj) break;
if (k == deg[vi]) break;
}
if (fails >= 0)
{
cubi[deg[vi]++] = vj;
cubj[deg[vj]++] = vi;
avail[i] = avail[navail-1];
avail[j] = avail[ne+navail-1];
--navail;
}
else
ok = FALSE;
}
if (navail > 0) ok = FALSE;
} while (!ok);
/* fprintf(stderr,">C %ld iters\n",iters); */
}
/**************************************************************************/
static void
dmodel_bip_sg(int deg1, sparsegraph *sg, int n1, int n2)
/* Make a sparse random-ish semiregular bipartite graph of order n1+n2
and degree deg1 on the left and return it in sg. */
{
int i,k,deg,comdeg1,comdeg2,n,deg2;
size_t j,k0,nde,ne,comne;
#if MAXN
int cub[MAXLREG*MAXN];
boolean adj[MAXN];
#else
DYNALLSTAT(int,cub,cub_sz);
DYNALLSTAT(boolean,adj,adj_sz);
#endif
n = n1 + n2;
ne = n1*(size_t)deg1;
deg2 = ne / n2;
if (deg2*(size_t)n2 != ne || deg1 > n2 || deg2 > n1)
gt_abort(">E genrang: impossible bipartite degrees\n");
SG_ALLOC(*sg,n,2*ne,"dmodel_bip_sg");
if (deg1 <= n2-deg1)
{
#if !MAXN
DYNALLOC1(int,cub,cub_sz,2*ne,"dmodel_bip_sg");
#endif
rundmodel_bip(cub,deg1,deg2,n1,n2);
sg->nv = n;
j = nde = 0;
for (i = 0; i < n1; ++i)
{
sg->v[i] = k0 = i*(size_t)deg1;
deg = 0;
for (k = 0; k < deg1; ++k, ++j)
sg->e[k0+deg++] = cub[j];
sg->d[i] = deg;
nde += deg;
}
for (i = n1; i < n; ++i)
{
sg->v[i] = k0 = ne + (i-n1)*(size_t)deg2;
deg = 0;
for (k = 0; k < deg2; ++k, ++j)
sg->e[k0+deg++] = cub[j];
sg->d[i] = deg;
nde += deg;
}
sg->nde = nde;
}
else
{
comdeg1 = n2 - deg1;
comdeg2 = n1 - deg2;
comne = n1*(size_t)comdeg1;
#if !MAXN
DYNALLOC1(int,cub,cub_sz,2*comne,"dmodel_bip_sg");
DYNALLOC1(boolean,adj,adj_sz,n,"dmodel_bip_sg");
#endif
rundmodel_bip(cub,comdeg1,comdeg2,n1,n2);
sg->nv = n;
j = nde = 0;
for (i = 0; i < n1; ++i)
{
sg->v[i] = k0 = i*(long)deg1;
deg = 0;
for (k = n1; k < n; ++k) adj[k] = TRUE;
for (k = 0; k < comdeg1; ++k, ++j) adj[cub[j]] = FALSE;
for (k = n1; k < n; ++k)
if (adj[k]) sg->e[k0+deg++] = k;
sg->d[i] = deg;
nde += deg;
}
for (i = n1; i < n; ++i)
{
sg->v[i] = k0 = ne + (i-n1)*(long)deg2;
deg = 0;
for (k = 0; k < n1; ++k) adj[k] = TRUE;
for (k = 0; k < comdeg2; ++k, ++j) adj[cub[j]] = FALSE;
for (k = 0; k < n1; ++k)
if (adj[k]) sg->e[k0+deg++] = k;
sg->d[i] = deg;
nde += deg;
}
sg->nde = nde;
}
}
/**************************************************************************/
static void
randomtree(sparsegraph *sg, int n)
/* Make a random tree with n vertices */
{
int i,v0,v1,ne,k;
#if MAXN
int ed[2*MAXN];
#else
DYNALLSTAT(int,ed,ed_sz);
DYNALLOC1(int,ed,ed_sz,2*n,"randomtree");
#endif
SG_ALLOC(*sg,n,2*(n-1),"randomtree");
sg->nv = n;
sg->nde = 2*(n-1);
sg->w = NULL;
for (i = 0; i < n; ++i) sg->d[i] = 0;
v0 = KRAN(n);
ne = k = 0;
while (ne < n-1)
{
do { v1 = KRAN(n); } while (v1 == v0);
if (sg->d[v1] == 0)
{
ed[k++] = v0;
ed[k++] = v1;
++ne;
++sg->d[v0];
++sg->d[v1];
}
v0 = v1;
}
sg->v[0] = 0;
for (i = 1; i < n; ++i) sg->v[i] = sg->v[i-1] + sg->d[i-1];
for (i = 0; i < n; ++i) sg->d[i] = 0;
for (k = 0; k < 2*(n-1); )
{
v0 = ed[k++];
v1 = ed[k++];
sg->e[sg->v[v0]+(sg->d[v0])++] = v1;
sg->e[sg->v[v1]+(sg->d[v1])++] = v0;
}
}
/**************************************************************************/
static void
randombiptree(sparsegraph *sg, int n1, int n2)
/* Make a random subtree of K(n1,n2) */
{
int i,v0,v1,ne,k,n,cnt;
#if MAXN
int ed[2*MAXN];
#else
DYNALLSTAT(int,ed,ed_sz);
DYNALLOC1(int,ed,ed_sz,2*(n1+n2),"randombiptree");
#endif
n = n1 + n2;
if ((n1 == 0 || n2 == 0) && n > 1)
gt_abort(">E impossible bipartite tree\n");
SG_ALLOC(*sg,n,2*(n-1),"randomtree");
sg->nv = n;
sg->nde = 2*(n-1);
sg->w = NULL;
for (i = 0; i < n; ++i) sg->d[i] = 0;
v0 = KRAN(n1);
ne = k = cnt = 0;
while (ne < n-1)
{
if (cnt % 2 == 0) v1 = n1 + KRAN(n2);
else v1 = KRAN(n1);
++cnt;
if (sg->d[v1] == 0)
{
ed[k++] = v0;
ed[k++] = v1;
++ne;
++sg->d[v0];
++sg->d[v1];
}
v0 = v1;
}
sg->v[0] = 0;
for (i = 1; i < n; ++i) sg->v[i] = sg->v[i-1] + sg->d[i-1];
for (i = 0; i < n; ++i) sg->d[i] = 0;
for (k = 0; k < 2*(n-1); )
{
v0 = ed[k++];
v1 = ed[k++];
sg->e[sg->v[v0]+(sg->d[v0])++] = v1;
sg->e[sg->v[v1]+(sg->d[v1])++] = v0;
}
}
/**************************************************************************/
/**************************************************************************/
#define NOBIP if (bipartite) { fprintf(stderr, \
">E genrang: This option is not available for bipartite graphs." \
" Feel free to request it.\n"); exit(1); }
int
main(int argc, char *argv[])
{
int m,n,n1,n2,codetype;
int argnum,j;
char *arg,sw;
boolean badargs;
boolean gswitch,sswitch,qswitch,Sswitch,Rswitch,lswitch,tswitch;
boolean aswitch,P1switch,P2switch,eswitch,rswitch,mswitch,dswitch;
boolean Tswitch;
long numgraphs,nout,P1value,P2value,evalue,rvalue;
nauty_counter ln,nc2;
int Svalue,loopmax,multmax;
static FILE *outfile;
char *outfilename;
sparsegraph sg;
boolean usesparse,digraph,bipartite;
#if MAXN
graph g[MAXM*1L*MAXN];
int perm[MAXN];
#else
DYNALLSTAT(graph,g,g_sz);
DYNALLSTAT(int,perm,perm_sz);
#endif
HELP; PUTVERSION;
gswitch = sswitch = qswitch = Sswitch = Rswitch = FALSE;
aswitch = P1switch = P2switch = eswitch = rswitch = FALSE;
digraph = dswitch = tswitch = lswitch = mswitch = FALSE;
Tswitch = FALSE;
outfilename = NULL;
argnum = 0;
badargs = FALSE;
for (j = 1; !badargs && j < argc; ++j)
{
arg = argv[j];
if (arg[0] == '-' && arg[1] != '\0')
{