int igraph_complementer(igraph_t *res, const igraph_t *graph,
igraph_bool_t loops) {
long int no_of_nodes=igraph_vcount(graph);
igraph_vector_t edges;
igraph_vector_t neis;
long int i, j;
long int zero=0, *limit;
IGRAPH_VECTOR_INIT_FINALLY(&edges, 0);
IGRAPH_VECTOR_INIT_FINALLY(&neis, 0);
if (igraph_is_directed(graph)) {
limit=&zero;
} else {
limit=&i;
}
for (i=0; i<no_of_nodes; i++) {
IGRAPH_ALLOW_INTERRUPTION();
IGRAPH_CHECK(igraph_neighbors(graph, &neis, (igraph_integer_t) i,
IGRAPH_OUT));
if (loops) {
for (j=no_of_nodes-1; j>=*limit; j--) {
if (igraph_vector_empty(&neis) || j>igraph_vector_tail(&neis)) {
IGRAPH_CHECK(igraph_vector_push_back(&edges, i));
IGRAPH_CHECK(igraph_vector_push_back(&edges, j));
} else {
igraph_vector_pop_back(&neis);
}
}
} else {
for (j=no_of_nodes-1; j>=*limit; j--) {
if (igraph_vector_empty(&neis) || j>igraph_vector_tail(&neis)) {
if (i!=j) {
IGRAPH_CHECK(igraph_vector_push_back(&edges, i));
IGRAPH_CHECK(igraph_vector_push_back(&edges, j));
}
} else {
igraph_vector_pop_back(&neis);
}
}
}
}
IGRAPH_CHECK(igraph_create(res, &edges, (igraph_integer_t) no_of_nodes,
igraph_is_directed(graph)));
igraph_vector_destroy(&edges);
igraph_vector_destroy(&neis);
IGRAPH_I_ATTRIBUTE_DESTROY(res);
IGRAPH_I_ATTRIBUTE_COPY(res, graph, /*graph=*/1, /*vertex=*/1, /*edge=*/0);
IGRAPH_FINALLY_CLEAN(2);
return 0;
}
int igraph_copy(igraph_t *to, const igraph_t *from) {
to->n=from->n;
to->directed=from->directed;
IGRAPH_CHECK(igraph_vector_copy(&to->from, &from->from));
IGRAPH_FINALLY(igraph_vector_destroy, &to->from);
IGRAPH_CHECK(igraph_vector_copy(&to->to, &from->to));
IGRAPH_FINALLY(igraph_vector_destroy, &to->to);
IGRAPH_CHECK(igraph_vector_copy(&to->oi, &from->oi));
IGRAPH_FINALLY(igraph_vector_destroy, &to->oi);
IGRAPH_CHECK(igraph_vector_copy(&to->ii, &from->ii));
IGRAPH_FINALLY(igraph_vector_destroy, &to->ii);
IGRAPH_CHECK(igraph_vector_copy(&to->os, &from->os));
IGRAPH_FINALLY(igraph_vector_destroy, &to->os);
IGRAPH_CHECK(igraph_vector_copy(&to->is, &from->is));
IGRAPH_FINALLY(igraph_vector_destroy, &to->is);
IGRAPH_I_ATTRIBUTE_COPY(to, from, 1,1,1); /* does IGRAPH_CHECK */
IGRAPH_FINALLY_CLEAN(6);
return 0;
}
/**
* \ingroup interface
* \function igraph_delete_vertices
* \brief Removes vertices (with all their edges) from the graph.
*
* </para><para>
* This function changes the ids of the vertices (except in some very
* special cases, but these should not be relied on anyway).
*
* </para><para>
* This function invalidates all iterators.
*
* \param graph The graph to work on.
* \param vertices The ids of the vertices to remove in a
* vector. The vector may contain the same id more
* than once.
* \return Error code:
* \c IGRAPH_EINVVID: invalid vertex id.
*
* Time complexity: O(|V|+|E|),
* |V| and
* |E| are the number of vertices and
* edges in the original graph.
*/
int igraph_delete_vertices(igraph_t *graph, const igraph_vs_t vertices) {
long int no_of_edges=igraph_ecount(graph);
long int no_of_nodes=igraph_vcount(graph);
igraph_vector_t edge_recoding, vertex_recoding;
igraph_vit_t vit;
igraph_t newgraph;
long int i, j;
long int remaining_vertices, remaining_edges;
IGRAPH_VECTOR_INIT_FINALLY(&vertex_recoding, no_of_nodes);
IGRAPH_VECTOR_INIT_FINALLY(&edge_recoding, no_of_edges);
IGRAPH_CHECK(igraph_vit_create(graph, vertices, &vit));
IGRAPH_FINALLY(igraph_vit_destroy, &vit);
/* mark the vertices to delete */
for (; !IGRAPH_VIT_END(vit); IGRAPH_VIT_NEXT(vit) ) {
long int vertex=IGRAPH_VIT_GET(vit);
if (vertex < 0 || vertex >= no_of_nodes) {
IGRAPH_ERROR("Cannot delete vertices", IGRAPH_EINVVID);
}
VECTOR(vertex_recoding)[vertex]=1;
}
/* create vertex recoding vector */
for (remaining_vertices=0, i=0; i<no_of_nodes; i++) {
if (VECTOR(vertex_recoding)[i]==0) {
VECTOR(vertex_recoding)[i]=remaining_vertices+1;
remaining_vertices++;
} else {
VECTOR(vertex_recoding)[i]=0;
}
}
/* create edge recoding vector */
for (remaining_edges=0, i=0; i<no_of_edges; i++) {
long int from=VECTOR(graph->from)[i];
long int to=VECTOR(graph->to)[i];
if (VECTOR(vertex_recoding)[from] != 0 &&
VECTOR(vertex_recoding)[to ] != 0) {
VECTOR(edge_recoding)[i]=remaining_edges+1;
remaining_edges++;
}
}
/* start creating the graph */
newgraph.n=remaining_vertices;
newgraph.directed=graph->directed;
/* allocate vectors */
IGRAPH_VECTOR_INIT_FINALLY(&newgraph.from, remaining_edges);
IGRAPH_VECTOR_INIT_FINALLY(&newgraph.to, remaining_edges);
IGRAPH_VECTOR_INIT_FINALLY(&newgraph.oi, remaining_edges);
IGRAPH_VECTOR_INIT_FINALLY(&newgraph.ii, remaining_edges);
IGRAPH_VECTOR_INIT_FINALLY(&newgraph.os, remaining_vertices+1);
IGRAPH_VECTOR_INIT_FINALLY(&newgraph.is, remaining_vertices+1);
/* Add the edges */
for (i=0, j=0; j<remaining_edges; i++) {
if (VECTOR(edge_recoding)[i]>0) {
long int from=VECTOR(graph->from)[i];
long int to=VECTOR(graph->to )[i];
VECTOR(newgraph.from)[j]=VECTOR(vertex_recoding)[from]-1;
VECTOR(newgraph.to )[j]=VECTOR(vertex_recoding)[to]-1;
j++;
}
}
/* update oi & ii */
IGRAPH_CHECK(igraph_vector_order(&newgraph.from, &newgraph.to, &newgraph.oi,
remaining_vertices));
IGRAPH_CHECK(igraph_vector_order(&newgraph.to, &newgraph.from, &newgraph.ii,
remaining_vertices));
IGRAPH_CHECK(igraph_i_create_start(&newgraph.os, &newgraph.from,
&newgraph.oi, remaining_vertices));
IGRAPH_CHECK(igraph_i_create_start(&newgraph.is, &newgraph.to,
&newgraph.ii, remaining_vertices));
/* attributes */
IGRAPH_I_ATTRIBUTE_COPY(&newgraph, graph, 1,1,1);
IGRAPH_FINALLY_CLEAN(6);
IGRAPH_FINALLY(igraph_destroy, &newgraph);
IGRAPH_I_ATTRIBUTE_DELETE_VERTICES(&newgraph, &edge_recoding,
&vertex_recoding);
igraph_vit_destroy(&vit);
igraph_vector_destroy(&edge_recoding);
igraph_vector_destroy(&vertex_recoding);
igraph_destroy(graph);
*graph=newgraph;
IGRAPH_FINALLY_CLEAN(4);
return 0;
}
int igraph_difference(igraph_t *res,
const igraph_t *orig, const igraph_t *sub) {
/* Quite nasty, but we will use that an edge adjacency list
contains the vertices according to the order of the
vertex ids at the "other" end of the edge. */
long int no_of_nodes_orig=igraph_vcount(orig);
long int no_of_nodes_sub =igraph_vcount(sub);
long int no_of_nodes=no_of_nodes_orig;
long int smaller_nodes;
igraph_bool_t directed=igraph_is_directed(orig);
igraph_vector_t edges;
igraph_vector_t edge_ids;
igraph_vector_t *nei1, *nei2;
igraph_inclist_t inc_orig, inc_sub;
long int i;
igraph_integer_t v1, v2;
if (directed != igraph_is_directed(sub)) {
IGRAPH_ERROR("Cannot subtract directed and undirected graphs",
IGRAPH_EINVAL);
}
IGRAPH_VECTOR_INIT_FINALLY(&edge_ids, 0);
IGRAPH_VECTOR_INIT_FINALLY(&edges, 0);
IGRAPH_CHECK(igraph_inclist_init(orig, &inc_orig, IGRAPH_OUT));
IGRAPH_FINALLY(igraph_inclist_destroy, &inc_orig);
IGRAPH_CHECK(igraph_inclist_init(sub, &inc_sub, IGRAPH_OUT));
IGRAPH_FINALLY(igraph_inclist_destroy, &inc_sub);
smaller_nodes=no_of_nodes_orig > no_of_nodes_sub ?
no_of_nodes_sub : no_of_nodes_orig;
for (i=0; i<smaller_nodes; i++) {
long int n1, n2, e1, e2;
IGRAPH_ALLOW_INTERRUPTION();
nei1=igraph_inclist_get(&inc_orig, i);
nei2=igraph_inclist_get(&inc_sub, i);
n1=igraph_vector_size(nei1)-1;
n2=igraph_vector_size(nei2)-1;
while (n1>=0 && n2>=0) {
e1=(long int) VECTOR(*nei1)[n1];
e2=(long int) VECTOR(*nei2)[n2];
v1=IGRAPH_OTHER(orig, e1, i);
v2=IGRAPH_OTHER(sub, e2, i);
if (!directed && v1<i) {
n1--;
} else if (!directed && v2<i) {
n2--;
} else if (v1>v2) {
IGRAPH_CHECK(igraph_vector_push_back(&edge_ids, e1));
IGRAPH_CHECK(igraph_vector_push_back(&edges, i));
IGRAPH_CHECK(igraph_vector_push_back(&edges, v1));
n1--;
} else if (v2>v1) {
n2--;
} else {
n1--;
n2--;
}
}
/* Copy remaining edges */
while (n1>=0) {
e1=(long int) VECTOR(*nei1)[n1];
v1=IGRAPH_OTHER(orig, e1, i);
if (directed || v1 >= i) {
IGRAPH_CHECK(igraph_vector_push_back(&edge_ids, e1));
IGRAPH_CHECK(igraph_vector_push_back(&edges, i));
IGRAPH_CHECK(igraph_vector_push_back(&edges, v1));
}
n1--;
}
}
/* copy remaining edges, use the previous value of 'i' */
for (; i<no_of_nodes_orig; i++) {
long int n1, e1;
nei1=igraph_inclist_get(&inc_orig, i);
n1=igraph_vector_size(nei1)-1;
while (n1>=0) {
e1=(long int) VECTOR(*nei1)[n1];
v1=IGRAPH_OTHER(orig, e1, i);
if (directed || v1 >= i) {
IGRAPH_CHECK(igraph_vector_push_back(&edge_ids, e1));
IGRAPH_CHECK(igraph_vector_push_back(&edges, i));
IGRAPH_CHECK(igraph_vector_push_back(&edges, v1));
}
n1--;
}
}
igraph_inclist_destroy(&inc_sub);
igraph_inclist_destroy(&inc_orig);
IGRAPH_FINALLY_CLEAN(2);
IGRAPH_CHECK(igraph_create(res, &edges, (igraph_integer_t) no_of_nodes,
directed));
igraph_vector_destroy(&edges);
IGRAPH_FINALLY_CLEAN(1);
/* Attributes */
if (orig->attr) {
IGRAPH_I_ATTRIBUTE_DESTROY(res);
IGRAPH_I_ATTRIBUTE_COPY(res, orig, /*graph=*/1, /*vertex=*/1, /*edge=*/0);
IGRAPH_CHECK(igraph_i_attribute_permute_edges(orig, res, &edge_ids));
}
igraph_vector_destroy(&edge_ids);
IGRAPH_FINALLY_CLEAN(1);
return 0;
}
int igraph_i_bipartite_projection(const igraph_t *graph,
const igraph_vector_bool_t *types,
igraph_t *proj,
int which,
igraph_vector_t *multiplicity) {
long int no_of_nodes=igraph_vcount(graph);
long int i, j, k;
igraph_integer_t remaining_nodes=0;
igraph_vector_t vertex_perm, vertex_index;
igraph_vector_t edges;
igraph_adjlist_t adjlist;
igraph_vector_int_t *neis1, *neis2;
long int neilen1, neilen2;
igraph_vector_long_t added;
igraph_vector_t mult;
if (which < 0) { return 0; }
IGRAPH_VECTOR_INIT_FINALLY(&vertex_perm, 0);
IGRAPH_CHECK(igraph_vector_reserve(&vertex_perm, no_of_nodes));
IGRAPH_VECTOR_INIT_FINALLY(&edges, 0);
IGRAPH_VECTOR_INIT_FINALLY(&vertex_index, no_of_nodes);
IGRAPH_CHECK(igraph_vector_long_init(&added, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &added);
IGRAPH_CHECK(igraph_adjlist_init(graph, &adjlist, IGRAPH_ALL));
IGRAPH_FINALLY(igraph_adjlist_destroy, &adjlist);
if (multiplicity) {
IGRAPH_VECTOR_INIT_FINALLY(&mult, no_of_nodes);
igraph_vector_clear(multiplicity);
}
for (i=0; i<no_of_nodes; i++) {
if (VECTOR(*types)[i] == which) {
VECTOR(vertex_index)[i] = ++remaining_nodes;
igraph_vector_push_back(&vertex_perm, i);
}
}
for (i=0; i<no_of_nodes; i++) {
if (VECTOR(*types)[i] == which) {
long int new_i=(long int) VECTOR(vertex_index)[i]-1;
long int iedges=0;
neis1=igraph_adjlist_get(&adjlist, i);
neilen1=igraph_vector_int_size(neis1);
for (j=0; j<neilen1; j++) {
long int nei=(long int) VECTOR(*neis1)[j];
if (IGRAPH_UNLIKELY(VECTOR(*types)[i] == VECTOR(*types)[nei])) {
IGRAPH_ERROR("Non-bipartite edge found in bipartite projection",
IGRAPH_EINVAL);
}
neis2=igraph_adjlist_get(&adjlist, nei);
neilen2=igraph_vector_int_size(neis2);
for (k=0; k<neilen2; k++) {
long int nei2=(long int) VECTOR(*neis2)[k], new_nei2;
if (nei2 <= i) { continue; }
if (VECTOR(added)[nei2] == i+1) {
if (multiplicity) { VECTOR(mult)[nei2]+=1; }
continue;
}
VECTOR(added)[nei2] = i+1;
if (multiplicity) { VECTOR(mult)[nei2]=1; }
iedges++;
IGRAPH_CHECK(igraph_vector_push_back(&edges, new_i));
if (multiplicity) {
/* If we need the multiplicity as well, then we put in the
old vertex ids here and rewrite it later */
IGRAPH_CHECK(igraph_vector_push_back(&edges, nei2));
} else {
new_nei2=(long int) VECTOR(vertex_index)[nei2]-1;
IGRAPH_CHECK(igraph_vector_push_back(&edges, new_nei2));
}
}
}
if (multiplicity) {
/* OK, we need to go through all the edges added for vertex new_i
and check their multiplicity */
long int now=igraph_vector_size(&edges);
long int from=now-iedges*2;
for (j=from; j<now; j+=2) {
long int nei2=(long int) VECTOR(edges)[j+1];
long int new_nei2=(long int) VECTOR(vertex_index)[nei2]-1;
long int m=(long int) VECTOR(mult)[nei2];
VECTOR(edges)[j+1]=new_nei2;
IGRAPH_CHECK(igraph_vector_push_back(multiplicity, m));
}
}
} /* if VECTOR(*type)[i] == which */
}
if (multiplicity) {
igraph_vector_destroy(&mult);
IGRAPH_FINALLY_CLEAN(1);
}
igraph_adjlist_destroy(&adjlist);
igraph_vector_long_destroy(&added);
igraph_vector_destroy(&vertex_index);
IGRAPH_FINALLY_CLEAN(3);
IGRAPH_CHECK(igraph_create(proj, &edges, remaining_nodes,
/*directed=*/ 0));
igraph_vector_destroy(&edges);
IGRAPH_FINALLY_CLEAN(1);
IGRAPH_FINALLY(igraph_destroy, proj);
IGRAPH_I_ATTRIBUTE_DESTROY(proj);
IGRAPH_I_ATTRIBUTE_COPY(proj, graph, 1, 0, 0);
IGRAPH_CHECK(igraph_i_attribute_permute_vertices(graph, proj, &vertex_perm));
igraph_vector_destroy(&vertex_perm);
IGRAPH_FINALLY_CLEAN(2);
return 0;
}
int igraph_to_undirected(igraph_t *graph,
igraph_to_undirected_t mode) {
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
igraph_vector_t edges;
igraph_t newgraph;
if (mode != IGRAPH_TO_UNDIRECTED_EACH &&
mode != IGRAPH_TO_UNDIRECTED_COLLAPSE) {
IGRAPH_ERROR("Cannot undirect graph, invalid mode", IGRAPH_EINVAL);
}
if (!igraph_is_directed(graph)) {
return 0;
}
IGRAPH_VECTOR_INIT_FINALLY(&edges, 0);
if (mode==IGRAPH_TO_UNDIRECTED_EACH) {
igraph_es_t es;
igraph_eit_t eit;
IGRAPH_CHECK(igraph_vector_reserve(&edges, no_of_edges*2));
IGRAPH_CHECK(igraph_es_all(&es, IGRAPH_EDGEORDER_ID));
IGRAPH_FINALLY(igraph_es_destroy, &es);
IGRAPH_CHECK(igraph_eit_create(graph, es, &eit));
IGRAPH_FINALLY(igraph_eit_destroy, &eit);
while (!IGRAPH_EIT_END(eit)) {
long int edge=IGRAPH_EIT_GET(eit);
igraph_integer_t from, to;
igraph_edge(graph, edge, &from, &to);
IGRAPH_CHECK(igraph_vector_push_back(&edges, from));
IGRAPH_CHECK(igraph_vector_push_back(&edges, to));
IGRAPH_EIT_NEXT(eit);
}
igraph_eit_destroy(&eit);
igraph_es_destroy(&es);
IGRAPH_FINALLY_CLEAN(2);
IGRAPH_CHECK(igraph_create(&newgraph, &edges, no_of_nodes, IGRAPH_UNDIRECTED));
IGRAPH_FINALLY(igraph_destroy, &newgraph);
igraph_vector_destroy(&edges);
IGRAPH_I_ATTRIBUTE_DESTROY(&newgraph);
IGRAPH_I_ATTRIBUTE_COPY(&newgraph, graph, 1,1,1);
IGRAPH_FINALLY_CLEAN(2);
igraph_destroy(graph);
*graph=newgraph;
} else if (mode==IGRAPH_TO_UNDIRECTED_COLLAPSE) {
igraph_vector_t seen, nei;
long int i,j;
IGRAPH_CHECK(igraph_vector_reserve(&edges, no_of_edges*2));
IGRAPH_VECTOR_INIT_FINALLY(&seen, no_of_nodes);
IGRAPH_VECTOR_INIT_FINALLY(&nei, 0);
for (i=0; i<no_of_nodes; i++) {
IGRAPH_CHECK(igraph_neighbors(graph, &nei, i, IGRAPH_ALL));
for (j=0; j<igraph_vector_size(&nei); j++) {
long int node=VECTOR(nei)[j];
if (VECTOR(seen)[node] != i+1 && node >= i) {
IGRAPH_CHECK(igraph_vector_push_back(&edges, i));
IGRAPH_CHECK(igraph_vector_push_back(&edges, node));
VECTOR(seen)[node]=i+1;
}
}
}
igraph_vector_destroy(&nei);
igraph_vector_destroy(&seen);
IGRAPH_FINALLY_CLEAN(2);
IGRAPH_CHECK(igraph_create(&newgraph, &edges, no_of_nodes, IGRAPH_UNDIRECTED));
IGRAPH_FINALLY(igraph_destroy, &newgraph);
igraph_vector_destroy(&edges);
IGRAPH_I_ATTRIBUTE_DESTROY(&newgraph);
IGRAPH_I_ATTRIBUTE_COPY(&newgraph, graph, 1,1,0); /* no edge attributes */
IGRAPH_FINALLY_CLEAN(2);
igraph_destroy(graph);
*graph=newgraph;
}
return 0;
}
int igraph_to_directed(igraph_t *graph,
igraph_to_directed_t mode) {
if (mode != IGRAPH_TO_DIRECTED_ARBITRARY &&
mode != IGRAPH_TO_DIRECTED_MUTUAL) {
IGRAPH_ERROR("Cannot directed graph, invalid mode", IGRAPH_EINVAL);
}
if (igraph_is_directed(graph)) {
return 0;
}
if (mode==IGRAPH_TO_DIRECTED_ARBITRARY) {
igraph_t newgraph;
igraph_vector_t edges;
long int no_of_edges=igraph_ecount(graph);
long int no_of_nodes=igraph_vcount(graph);
long int size=no_of_edges*2;
IGRAPH_VECTOR_INIT_FINALLY(&edges, size);
IGRAPH_CHECK(igraph_get_edgelist(graph, &edges, 0));
IGRAPH_CHECK(igraph_create(&newgraph, &edges, no_of_nodes,
IGRAPH_DIRECTED));
IGRAPH_FINALLY(igraph_destroy, &newgraph);
igraph_vector_destroy(&edges);
IGRAPH_I_ATTRIBUTE_DESTROY(&newgraph);
IGRAPH_I_ATTRIBUTE_COPY(&newgraph, graph, 1,1,1);
IGRAPH_FINALLY_CLEAN(2);
igraph_destroy(graph);
*graph=newgraph;
} else if (mode==IGRAPH_TO_DIRECTED_MUTUAL) {
igraph_t newgraph;
igraph_vector_t edges;
igraph_vector_t index;
long int no_of_edges=igraph_ecount(graph);
long int no_of_nodes=igraph_vcount(graph);
long int size=no_of_edges*4;
long int i;
IGRAPH_VECTOR_INIT_FINALLY(&edges, 0);
IGRAPH_CHECK(igraph_vector_reserve(&edges, size));
IGRAPH_CHECK(igraph_get_edgelist(graph, &edges, 0));
IGRAPH_CHECK(igraph_vector_resize(&edges, no_of_edges*4));
IGRAPH_VECTOR_INIT_FINALLY(&index, no_of_edges*2);
for (i=0; i<no_of_edges; i++) {
VECTOR(edges)[no_of_edges*2+i*2] =VECTOR(edges)[i*2+1];
VECTOR(edges)[no_of_edges*2+i*2+1]=VECTOR(edges)[i*2];
VECTOR(index)[i] = VECTOR(index)[no_of_edges+i] = i+1;
}
IGRAPH_CHECK(igraph_create(&newgraph, &edges, no_of_nodes,
IGRAPH_DIRECTED));
IGRAPH_FINALLY(igraph_destroy, &newgraph);
IGRAPH_I_ATTRIBUTE_DESTROY(&newgraph);
IGRAPH_I_ATTRIBUTE_COPY(&newgraph, graph, 1,1,1);
IGRAPH_CHECK(igraph_i_attribute_permute_edges(&newgraph, &index));
igraph_vector_destroy(&index);
igraph_vector_destroy(&edges);
igraph_destroy(graph);
IGRAPH_FINALLY_CLEAN(3);
*graph=newgraph;
}
return 0;
}
