/* To ensure that min and max rank nodes always have the intended rank
* assignment, reverse any incompatible edges.
*/
static point
minmax_edges(graph_t * g)
{
node_t *n;
edge_t *e;
point slen;
slen.x = slen.y = 0;
if ((GD_maxset(g) == NULL) && (GD_minset(g) == NULL))
return slen;
if (GD_minset(g) != NULL)
GD_minset(g) = UF_find(GD_minset(g));
if (GD_maxset(g) != NULL)
GD_maxset(g) = UF_find(GD_maxset(g));
if ((n = GD_maxset(g))) {
slen.y = (ND_ranktype(GD_maxset(g)) == SINKRANK);
while ((e = ND_out(n).list[0])) {
assert(aghead(e) == UF_find(aghead(e)));
reverse_edge(e);
}
}
if ((n = GD_minset(g))) {
slen.x = (ND_ranktype(GD_minset(g)) == SOURCERANK);
while ((e = ND_in(n).list[0])) {
assert(agtail(e) == UF_find(agtail(e)));
reverse_edge(e);
}
}
return slen;
}
void class1(graph_t * g)
{
node_t *n, *t, *h;
edge_t *e, *rep;
mark_clusters(g);
for (n = agfstnode(g); n; n = agnxtnode(g, n)) {
for (e = agfstout(g, n); e; e = agnxtout(g, e)) {
/* skip edges already processed */
if (ED_to_virt(e))
continue;
/* skip edges that we want to ignore in this phase */
if (nonconstraint_edge(e))
continue;
t = UF_find(agtail(e));
h = UF_find(aghead(e));
/* skip self, flat, and intra-cluster edges */
if (t == h)
continue;
/* inter-cluster edges require special treatment */
if (ND_clust(t) || ND_clust(h)) {
interclust1(g, agtail(e), aghead(e), e);
continue;
}
if ((rep = find_fast_edge(t, h)))
merge_oneway(e, rep);
else
virtual_edge(t, h, e);
#ifdef NOTDEF
if ((t == agtail(e)) && (h == aghead(e))) {
if (rep = find_fast_edge(t, h))
merge_oneway(e, rep);
else
virtual_edge(t, h, e);
} else {
f = agfindedge(g, t, h);
if (f && (ED_to_virt(f) == NULL))
rep = virtual_edge(t, h, f);
else
rep = find_fast_edge(t, h);
if (rep)
merge_oneway(e, rep);
else
virtual_edge(t, h, e);
}
#endif
}
}
}
node_t *
UF_union(node_t *u, node_t *v)
{
if (u == v) return u;
if (u->u.UF_parent == NULL) {u->u.UF_parent = u; u->u.UF_size = 1;}
else u = UF_find(u);
if (v->u.UF_parent == NULL) {v->u.UF_parent = v; v->u.UF_size = 1;}
else v = UF_find(v);
if (u->id > v->id) { u->u.UF_parent = v; v->u.UF_size += u->u.UF_size;}
else {v->u.UF_parent = u; u->u.UF_size += v->u.UF_size; v = u;}
return v;
}
void
UF_setname(node_t *u, node_t *v)
{
assert(u == UF_find(u));
u->u.UF_parent = v;
v->u.UF_size += u->u.UF_size;
}
int nonconstraint_edge(edge_t * e)
{
char *constr;
#ifndef WITH_CGRAPH
if (E_constr && (constr = agxget(e, E_constr->index))) {
#else /* WITH_CGRAPH */
if (E_constr && (constr = agxget(e, E_constr))) {
#endif /* WITH_CGRAPH */
if (constr[0] && mapbool(constr) == FALSE)
return TRUE;
}
return FALSE;
}
static void
interclust1(graph_t * g, node_t * t, node_t * h, edge_t * e)
{
node_t *v, *t0, *h0;
int offset, t_len, h_len, t_rank, h_rank;
edge_t *rt, *rh;
if (ND_clust(agtail(e)))
t_rank = ND_rank(agtail(e)) - ND_rank(GD_leader(ND_clust(agtail(e))));
else
t_rank = 0;
if (ND_clust(aghead(e)))
h_rank = ND_rank(aghead(e)) - ND_rank(GD_leader(ND_clust(aghead(e))));
else
h_rank = 0;
offset = ED_minlen(e) + t_rank - h_rank;
if (offset > 0) {
t_len = 0;
h_len = offset;
} else {
t_len = -offset;
h_len = 0;
}
v = virtual_node(g);
ND_node_type(v) = SLACKNODE;
t0 = UF_find(t);
h0 = UF_find(h);
rt = make_aux_edge(v, t0, t_len, CL_BACK * ED_weight(e));
rh = make_aux_edge(v, h0, h_len, ED_weight(e));
ED_to_orig(rt) = ED_to_orig(rh) = e;
}
void interclust1(graph_t *g, node_t *t, node_t *h, edge_t *e)
{
node_t *v,*t0,*h0;
int offset,t_len,h_len,t_rank,h_rank;
edge_t *rt,*rh;
if (e->tail->u.clust)
t_rank = e->tail->u.rank - e->tail->u.clust->u.leader->u.rank;
else t_rank = 0;
if (e->head->u.clust)
h_rank = e->head->u.rank - e->head->u.clust->u.leader->u.rank;
else h_rank = 0;
offset = e->u.minlen + t_rank - h_rank;
if (offset > 0) {t_len = 0; h_len = offset;}
else {t_len = -offset; h_len = 0;}
v = virtual_node(g);
v->u.node_type = SLACKNODE;
t0 = UF_find(t); h0 = UF_find(h);
rt = make_aux_edge(v,t0,t_len,CL_BACK*e->u.weight);
rh = make_aux_edge(v,h0,h_len,e->u.weight);
rt->u.to_orig = rh->u.to_orig = e;
}
node_t *UF_union(node_t * u, node_t * v)
{
if (u == v)
return u;
if (ND_UF_parent(u) == NULL) {
ND_UF_parent(u) = u;
ND_UF_size(u) = 1;
} else
u = UF_find(u);
if (ND_UF_parent(v) == NULL) {
ND_UF_parent(v) = v;
ND_UF_size(v) = 1;
} else
v = UF_find(v);
if (u->id > v->id) {
ND_UF_parent(u) = v;
ND_UF_size(v) += ND_UF_size(u);
} else {
ND_UF_parent(v) = u;
ND_UF_size(u) += ND_UF_size(v);
v = u;
}
return v;
}
static int
minmax_edges2(graph_t * g, point slen)
{
node_t *n;
edge_t *e = 0;
if ((GD_maxset(g)) || (GD_minset(g))) {
for (n = agfstnode(g); n; n = agnxtnode(g, n)) {
if (n != UF_find(n))
continue;
if ((ND_out(n).size == 0) && GD_maxset(g) && (n != GD_maxset(g))) {
e = virtual_edge(n, GD_maxset(g), NULL);
ED_minlen(e) = slen.y;
}
if ((ND_in(n).size == 0) && GD_minset(g) && (n != GD_minset(g))) {
e = virtual_edge(GD_minset(g), n, NULL);
ED_minlen(e) = slen.x;
}
}
}
return (e != 0);
}
/*
* Assigns ranks of non-leader nodes.
* Expands same, min, max rank sets.
* Leaf sets and clusters remain merged.
* Sets minrank and maxrank appropriately.
*/
static void expand_ranksets(graph_t * g, aspect_t* asp)
{
int c;
node_t *n, *leader;
if ((n = agfstnode(g))) {
GD_minrank(g) = MAXSHORT;
GD_maxrank(g) = -1;
while (n) {
leader = UF_find(n);
/* The following works because ND_rank(n) == 0 if n is not in a
* cluster, and ND_rank(n) = the local rank offset if n is in
* a cluster. */
if ((leader != n) && (!asp || (ND_rank(n) == 0)))
ND_rank(n) += ND_rank(leader);
if (GD_maxrank(g) < ND_rank(n))
GD_maxrank(g) = ND_rank(n);
if (GD_minrank(g) > ND_rank(n))
GD_minrank(g) = ND_rank(n);
if (ND_ranktype(n) && (ND_ranktype(n) != LEAFSET))
UF_singleton(n);
n = agnxtnode(g, n);
}
if (g == dot_root(g)) {
if (CL_type == LOCAL) {
for (c = 1; c <= GD_n_cluster(g); c++)
set_minmax(GD_clust(g)[c]);
} else {
find_clusters(g);
}
}
} else {
GD_minrank(g) = GD_maxrank(g) = 0;
}
}
void UF_setname(node_t * u, node_t * v)
{
assert(u == UF_find(u));
ND_UF_parent(u) = v;
ND_UF_size(v) += ND_UF_size(u);
}
void class2(graph_t* g)
{
int c;
node_t *n,*t,*h;
edge_t *e,*prev,*opp;
g->u.nlist = NULL;
g->u.n_nodes = 0; /* new */
mark_clusters(g);
for (c = 1; c <= g->u.n_cluster; c++)
build_skeleton(g,g->u.clust[c]);
for (n = agfstnode(g); n; n = agnxtnode(g,n))
for (e = agfstout(g,n); e; e = agnxtout(g,e)) {
if (e->head->u.weight_class <= 2) e->head->u.weight_class++;
if (e->tail->u.weight_class <= 2) e->tail->u.weight_class++;
}
for (n = agfstnode(g); n; n = agnxtnode(g,n)) {
if ((n->u.clust == NULL) && (n == UF_find(n))) {fast_node(g,n); g->u.n_nodes++;}
prev = NULL;
for (e = agfstout(g,n); e; e = agnxtout(g,e)) {
/* already processed */
if (e->u.to_virt) continue;
/* edges involving sub-clusters of g */
if (is_cluster_edge(e)) {
/* following is new cluster multi-edge code */
if (mergeable(prev,e)) {
if (prev->u.to_virt) {
merge_chain(g,e,prev->u.to_virt,FALSE);
other_edge(e);
}
else if (e->tail->u.rank == e->head->u.rank) {
merge_oneway(e,prev);
other_edge(e);
}
/* else is an intra-cluster edge */
continue;
}
interclrep(g,e);
prev = e;
continue;
}
/* merge multi-edges */
if (prev && (e->tail == prev->tail) && (e->head == prev->head)) {
if (e->tail->u.rank == e->head->u.rank) {
merge_oneway(e,prev);
other_edge(e);
continue;
}
if ((e->u.label == NULL) && (prev->u.label == NULL) && ports_eq(e,prev)) {
if (Concentrate)
e->u.edge_type = IGNORED;
else{
merge_chain(g,e,prev->u.to_virt,TRUE);
other_edge(e);
}
continue;
}
/* parallel edges with different labels fall through here */
}
/* self edges */
if (e->tail == e->head) {
other_edge(e);
prev = e;
continue;
}
t = UF_find(e->tail);
h = UF_find(e->head);
/* non-leader leaf nodes */
if ((e->tail != t) || (e->head != h)) {
/* ### need to merge stuff */
continue;
}
/* flat edges */
if (e->tail->u.rank == e->head->u.rank) {
flat_edge(g,e);
prev = e;
continue;
}
/* forward edges */
if (e->head->u.rank > e->tail->u.rank) {
make_chain(g,e->tail,e->head,e);
prev = e;
continue;
}
/* backward edges */
else {
/*other_edge(e);*/
if ((opp = agfindedge(g,e->head,e->tail))) {
/* shadows a forward edge */
if (opp->u.to_virt == NULL)
make_chain(g,opp->tail,opp->head,opp);
if ((e->u.label == NULL) && (opp->u.label == NULL) && ports_eq(e,opp)) {
if (Concentrate) {
e->u.edge_type = IGNORED;
opp->u.conc_opp_flag = TRUE;
}
else{ /* see above. this is getting out of hand */
other_edge(e);
merge_chain(g,e,opp->u.to_virt,TRUE);
}
continue;
}
}
make_chain(g,e->head,e->tail,e);
prev = e;
}
}
}
/* since decompose() is not called on subgraphs */
if (g != g->root) {
g->u.comp.list = ALLOC(1,g->u.comp.list,node_t*);
g->u.comp.list[0] = g->u.nlist;
}