static int igraph_i_bridges_rec(const igraph_t *graph, const igraph_inclist_t *il, igraph_integer_t u, igraph_integer_t *time, igraph_vector_t *bridges, igraph_vector_bool_t *visited, igraph_vector_int_t *disc, igraph_vector_int_t *low, igraph_vector_int_t *parent) {
igraph_vector_int_t *incedges;
long nc; /* neighbour count */
long i;
VECTOR(*visited)[u] = 1;
*time += 1;
VECTOR(*disc)[u] = *time;
VECTOR(*low)[u] = *time;
incedges = igraph_inclist_get(il, u);
nc = igraph_vector_int_size(incedges);
for (i=0; i < nc; ++i) {
long edge = (long) VECTOR(*incedges)[i];
igraph_integer_t v = IGRAPH_TO(graph, edge) == u ? IGRAPH_FROM(graph, edge) : IGRAPH_TO(graph, edge);
if (! VECTOR(*visited)[v]) {
VECTOR(*parent)[v] = u;
IGRAPH_CHECK(igraph_i_bridges_rec(graph, il, v, time, bridges, visited, disc, low, parent));
VECTOR(*low)[u] = VECTOR(*low)[u] < VECTOR(*low)[v] ? VECTOR(*low)[u] : VECTOR(*low)[v];
if (VECTOR(*low)[v] > VECTOR(*disc)[u])
IGRAPH_CHECK(igraph_vector_push_back(bridges, edge));
}
else if (v != VECTOR(*parent)[u]) {
VECTOR(*low)[u] = VECTOR(*low)[u] < VECTOR(*disc)[v] ? VECTOR(*low)[u] : VECTOR(*disc)[v];
}
}
return IGRAPH_SUCCESS;
}
/**
* \ingroup structural
* \function igraph_similarity_jaccard_es
* \brief Jaccard similarity coefficient for a given edge selector.
*
* </para><para>
* The Jaccard similarity coefficient of two vertices is the number of common
* neighbors divided by the number of vertices that are neighbors of at
* least one of the two vertices being considered. This function calculates
* the pairwise Jaccard similarities for the endpoints of edges in a given edge
* selector.
*
* \param graph The graph object to analyze
* \param res Pointer to a vector, the result of the calculation will
* be stored here. The number of elements is the same as the number
* of edges in \p es.
* \param es An edge selector that specifies the edges to be included in the
* result.
* \param mode The type of neighbors to be used for the calculation in
* directed graphs. Possible values:
* \clist
* \cli IGRAPH_OUT
* the outgoing edges will be considered for each node.
* \cli IGRAPH_IN
* the incoming edges will be considered for each node.
* \cli IGRAPH_ALL
* the directed graph is considered as an undirected one for the
* computation.
* \endclist
* \param loops Whether to include the vertices themselves in the neighbor
* sets.
* \return Error code:
* \clist
* \cli IGRAPH_ENOMEM
* not enough memory for temporary data.
* \cli IGRAPH_EINVVID
* invalid vertex id passed.
* \cli IGRAPH_EINVMODE
* invalid mode argument.
* \endclist
*
* Time complexity: O(nd), n is the number of edges in the edge selector, d is
* the (maximum) degree of the vertices in the graph.
*
* \sa \ref igraph_similarity_jaccard() and \ref igraph_similarity_jaccard_pairs()
* to calculate the Jaccard similarity between all pairs of a vertex set or
* some selected vertex pairs, or \ref igraph_similarity_dice(),
* \ref igraph_similarity_dice_pairs() and \ref igraph_similarity_dice_es() for a
* measure very similar to the Jaccard coefficient
*
* \example examples/simple/igraph_similarity.c
*/
int igraph_similarity_jaccard_es(const igraph_t *graph, igraph_vector_t *res,
const igraph_es_t es, igraph_neimode_t mode, igraph_bool_t loops) {
igraph_vector_t v;
igraph_eit_t eit;
IGRAPH_VECTOR_INIT_FINALLY(&v, 0);
IGRAPH_CHECK(igraph_eit_create(graph, es, &eit));
IGRAPH_FINALLY(igraph_eit_destroy, &eit);
while (!IGRAPH_EIT_END(eit)) {
long int eid = IGRAPH_EIT_GET(eit);
igraph_vector_push_back(&v, IGRAPH_FROM(graph, eid));
igraph_vector_push_back(&v, IGRAPH_TO(graph, eid));
IGRAPH_EIT_NEXT(eit);
}
igraph_eit_destroy(&eit);
IGRAPH_FINALLY_CLEAN(1);
IGRAPH_CHECK(igraph_similarity_jaccard_pairs(graph, res, &v, mode, loops));
igraph_vector_destroy(&v);
IGRAPH_FINALLY_CLEAN(1);
return IGRAPH_SUCCESS;
}
void print_edges(const igraph_t *graph) {
long ecount = igraph_ecount(graph);
long i;
for (i=0; i < ecount; ++i)
printf("%d %d\n", IGRAPH_FROM(graph, i), IGRAPH_TO(graph, i));
printf("\n");
}
int check_evecs(const igraph_t *graph, const igraph_vector_ptr_t *vecs,
const igraph_vector_ptr_t *evecs, int error_code) {
igraph_bool_t directed=igraph_is_directed(graph);
long int i, n=igraph_vector_ptr_size(vecs);
if (igraph_vector_ptr_size(evecs) != n) { exit(error_code+1); }
for (i=0; i<n; i++) {
igraph_vector_t *vvec=VECTOR(*vecs)[i];
igraph_vector_t *evec=VECTOR(*evecs)[i];
long int j, n2=igraph_vector_size(evec);
if (igraph_vector_size(vvec) == 0 && n2==0) { continue; }
if (igraph_vector_size(vvec) != n2+1) { exit(error_code+2); }
for (j=0; j<n2; j++) {
long int edge=VECTOR(*evec)[j];
long int from=VECTOR(*vvec)[j];
long int to=VECTOR(*vvec)[j+1];
if (directed) {
if (from != IGRAPH_FROM(graph, edge) ||
to != IGRAPH_TO (graph, edge)) {
exit(error_code);
}
} else {
long int from2=IGRAPH_FROM(graph, edge);
long int to2=IGRAPH_TO(graph, edge);
long int min1= from < to ? from : to;
long int max1= from < to ? to : from;
long int min2= from2 < to2 ? from2 : to2;
long int max2= from2 < to2 ? to2 : from2;
if (min1 != min2 || max1 != max2) { exit(error_code+3); }
}
}
}
return 0;
}
/* Convert an igraph graph to a Cliquer graph */
static void igraph_to_cliquer(const igraph_t *ig, graph_t **cg) {
igraph_integer_t vcount, ecount;
int i;
if (igraph_is_directed(ig))
IGRAPH_WARNING("Edge directions are ignored for clique calculations");
vcount = igraph_vcount(ig);
ecount = igraph_ecount(ig);
*cg = graph_new(vcount);
for (i=0; i < ecount; ++i) {
long s, t;
s = IGRAPH_FROM(ig, i);
t = IGRAPH_TO(ig, i);
if (s != t)
GRAPH_ADD_EDGE(*cg, s, t);
}
}
int igraph_edges(const igraph_t *graph, igraph_es_t eids,
igraph_vector_t *edges) {
igraph_eit_t eit;
long int n, ptr=0;
IGRAPH_CHECK(igraph_eit_create(graph, eids, &eit));
IGRAPH_FINALLY(igraph_eit_destroy, &eit);
n=IGRAPH_EIT_SIZE(eit);
IGRAPH_CHECK(igraph_vector_resize(edges, n*2));
for (; !IGRAPH_EIT_END(eit); IGRAPH_EIT_NEXT(eit)) {
long int e=IGRAPH_EIT_GET(eit);
VECTOR(*edges)[ptr++]=IGRAPH_FROM(graph, e);
VECTOR(*edges)[ptr++]=IGRAPH_TO(graph, e);
}
igraph_eit_destroy(&eit);
IGRAPH_FINALLY_CLEAN(1);
return 0;
}
int igraph_inclist_remove_duplicate(const igraph_t *graph,
igraph_inclist_t *al) {
long int i;
long int n=al->length;
for (i=0; i<n; i++) {
igraph_vector_t *v=&al->incs[i];
long int j, p=1, l=igraph_vector_size(v);
for (j=1; j<l; j++) {
long int e=VECTOR(*v)[j];
/* Non-loop edges and one end of loop edges are fine. */
/* We use here, that the vector is sorted and we also keep it sorted */
if (IGRAPH_FROM(graph, e) != IGRAPH_TO(graph, e) ||
VECTOR(*v)[j-1] != e) {
VECTOR(*v)[p++] = e;
}
}
igraph_vector_resize(v, p);
}
return 0;
}
int igraph_revolver_mes_p_p(const igraph_t *graph,
igraph_lazy_inclist_t *inclist,
igraph_matrix_t *kernel,
igraph_matrix_t *sd,
igraph_matrix_t *norm,
igraph_matrix_t *cites,
const igraph_matrix_t *debug,
igraph_vector_ptr_t *debugres,
const igraph_vector_t *st,
const igraph_vector_t *vtime,
const igraph_vector_t *vtimeidx,
const igraph_vector_t *etime,
const igraph_vector_t *etimeidx,
igraph_integer_t pno_of_events,
const igraph_vector_t *authors,
const igraph_vector_t *eventsizes,
igraph_integer_t pmaxpapers) {
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
long int no_of_events=pno_of_events;
long int maxpapers=pmaxpapers;
igraph_vector_long_t papers;
igraph_vector_char_t added;
igraph_matrix_t v_normfact, *normfact, v_notnull, *notnull;
igraph_matrix_t ch;
igraph_vector_long_t ntk;
igraph_matrix_t ntkk;
igraph_vector_t *adjedges;
long int timestep, i;
long int nptr=0, eptr=0, aptr=0;
long int nptr_save, eptr_save, eptr_new;
IGRAPH_CHECK(igraph_vector_long_init(&papers, no_of_nodes));
IGRAPH_FINALLY(&igraph_vector_long_destroy, &papers);
IGRAPH_CHECK(igraph_vector_char_init(&added, no_of_edges));
IGRAPH_FINALLY(igraph_vector_char_destroy, &added);
IGRAPH_CHECK(igraph_vector_long_init(&ntk, maxpapers+1));
IGRAPH_FINALLY(igraph_vector_long_destroy, &ntk);
IGRAPH_MATRIX_INIT_FINALLY(&ntkk, maxpapers+1, maxpapers+1);
IGRAPH_MATRIX_INIT_FINALLY(&ch, maxpapers+1, maxpapers+1);
if (norm) {
normfact=norm;
IGRAPH_CHECK(igraph_matrix_resize(normfact, maxpapers+1, maxpapers+1));
igraph_matrix_null(normfact);
} else {
normfact=&v_normfact;
IGRAPH_MATRIX_INIT_FINALLY(normfact, maxpapers+1, maxpapers+1);
}
if (cites) {
notnull=cites;
IGRAPH_CHECK(igraph_matrix_resize(notnull, maxpapers+1, maxpapers+1));
igraph_matrix_null(notnull);
} else {
notnull=&v_notnull;
IGRAPH_MATRIX_INIT_FINALLY(notnull, maxpapers+1, maxpapers+1);
}
IGRAPH_CHECK(igraph_matrix_resize(kernel, maxpapers+1, maxpapers+1));
igraph_matrix_null(kernel);
if (sd) {
IGRAPH_CHECK(igraph_matrix_resize(sd, maxpapers+1, maxpapers+1));
igraph_matrix_null(sd);
}
for (timestep=0; timestep<no_of_events; timestep++) {
IGRAPH_ALLOW_INTERRUPTION();
nptr_save=nptr;
while (nptr < no_of_nodes &&
VECTOR(*vtime)[(long int)VECTOR(*vtimeidx)[nptr]]==timestep) {
nptr++;
}
/* If it is a new author then she has no papers yet */
VECTOR(ntk)[0] += (nptr-nptr_save);
/* Update ch accordingly, could be done later as well */
if (VECTOR(ntk)[0] == nptr-nptr_save && nptr!=nptr_save) {
if (nptr-nptr_save >= 2) {
MATRIX(ch, 0, 0) = eptr;
}
for (i=1; i<maxpapers+1; i++) {
if (NTKK(0,i) == (nptr-nptr_save)*VECTOR(ntk)[i]) {
MATRIX(ch, 0, i) = MATRIX(ch, i, 0) = eptr;
}
}
}
/* print_ntkk(&ntkk, &ntk); */
/* Estimate Akk */
eptr_save=eptr;
while (eptr < no_of_edges &&
VECTOR(*etime)[(long int)VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge), to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(papers)[from];
long int yidx=VECTOR(papers)[to];
double xk, oldakk;
MATRIX(*notnull, xidx, yidx) += 1;
MATRIX(*notnull, yidx, xidx) = MATRIX(*notnull, xidx, yidx);
xk=VECTOR(*st)[timestep]/NTKK(xidx, yidx);
oldakk=MATRIX(*kernel, xidx, yidx);
MATRIX(*kernel, xidx, yidx) += (xk-oldakk)/MATRIX(*notnull, xidx, yidx);
MATRIX(*kernel, yidx, xidx) = MATRIX(*kernel, xidx, yidx);
if (sd) {
MATRIX(*sd, xidx, yidx) += (xk-oldakk)*(xk-MATRIX(*kernel, xidx, yidx));
MATRIX(*sd, yidx, xidx) = MATRIX(*sd, xidx, yidx);
}
/* TODO: debug */
eptr++;
}
/* update ntkk, the new papers change the type of their authors */
eptr_new=eptr;
for (i=aptr; i<aptr+VECTOR(*eventsizes)[timestep]; i++) {
long int aut=(long int) VECTOR(*authors)[i];
long int pap=VECTOR(papers)[aut];
long int j, n;
adjedges=igraph_lazy_inclist_get(inclist, (igraph_integer_t) aut);
n=igraph_vector_size(adjedges);
for (j=0; j<n; j++) {
long int edge=(long int) VECTOR(*adjedges)[j];
if (VECTOR(added)[edge]) {
long int otherv=IGRAPH_OTHER(graph, edge, aut);
long int otherpap=VECTOR(papers)[otherv];
MATRIX(ntkk, pap, otherpap) -= 1;
MATRIX(ntkk, otherpap, pap) = MATRIX(ntkk, pap, otherpap);
if (NTKK(pap, otherpap)==1) {
MATRIX(ch, pap, otherpap) = eptr_new;
MATRIX(ch, otherpap, pap) = MATRIX(ch, pap, otherpap);
}
MATRIX(ntkk, pap+1, otherpap) += 1;
MATRIX(ntkk, otherpap, pap+1) = MATRIX(ntkk, pap+1, otherpap);
if (NTKK(pap+1, otherpap)==0) {
MATRIX(*normfact, pap+1, otherpap) +=
eptr_new-MATRIX(ch, pap+1, otherpap);
MATRIX(*normfact, otherpap, pap+1) =
MATRIX(*normfact, pap+1, otherpap);
}
}
}
/* update ntk too */
for (j=0; j<maxpapers+1; j++) {
long int before, after;
before=(long int) NTKK(pap, j);
VECTOR(ntk)[pap]-=1;
after=(long int) NTKK(pap, j);
VECTOR(ntk)[pap]+=1;
if (before > 0 && after==0) {
MATRIX(*normfact, pap, j) += eptr_new-MATRIX(ch, pap, j);
MATRIX(*normfact, j, pap) = MATRIX(*normfact, pap, j);
}
}
VECTOR(ntk)[pap]-=1;
for (j=0; j<maxpapers+1; j++) {
long int before, after;
before=(long int) NTKK(pap+1, j);
VECTOR(ntk)[pap+1] += 1;
after=(long int) NTKK(pap+1, j);
VECTOR(ntk)[pap+1] -= 1;
if (before == 0 && after > 0) {
MATRIX(ch, pap+1, j) = eptr_new;
MATRIX(ch, j, pap+1) = MATRIX(ch, pap+1, j);
}
}
VECTOR(ntk)[pap+1]+=1;
VECTOR(papers)[aut] += 1;
}
aptr += VECTOR(*eventsizes)[timestep];
/* For every new edge, we lose one connection possibility, also add the edges*/
eptr=eptr_save;
while (eptr < no_of_edges &&
VECTOR(*etime)[(long int) VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge), to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(papers)[from];
long int yidx=VECTOR(papers)[to];
MATRIX(ntkk, xidx, yidx) += 1;
MATRIX(ntkk, yidx, xidx) = MATRIX(ntkk, xidx, yidx);
if (NTKK(xidx, yidx)==0) {
MATRIX(*normfact, xidx, yidx) += eptr_new-MATRIX(ch, xidx, yidx);
MATRIX(*normfact, yidx, xidx) = MATRIX(*normfact, xidx, yidx);
}
VECTOR(added)[edge]=1;
eptr++;
}
}
for (i=0; i<maxpapers+1; i++) {
igraph_real_t oldakk;
long int j;
for (j=0; j<=i; j++) {
if (NTKK(i, j) != 0) {
MATRIX(*normfact, i, j) += (eptr-MATRIX(ch, i, j));
MATRIX(*normfact, j, i) = MATRIX(*normfact, i, j);
}
if (MATRIX(*normfact, i, j)==0) {
MATRIX(*kernel, i, j)=MATRIX(*kernel, j, i)=0;
MATRIX(*normfact, i, j)=MATRIX(*normfact, j, i)=1;
}
oldakk=MATRIX(*kernel, i, j);
MATRIX(*kernel, i, j) *= MATRIX(*notnull, i, j)/MATRIX(*normfact, i, j);
MATRIX(*kernel, j, i) = MATRIX(*kernel, i, j);
if (sd) {
MATRIX(*sd, i, j) += oldakk * oldakk * MATRIX(*notnull, i, j) *
(1-MATRIX(*notnull, i, j)/MATRIX(*normfact, i, j));
MATRIX(*sd, i, j) = sqrt(MATRIX(*sd, i, j)/(MATRIX(*normfact, i, j)-1));
MATRIX(*sd, j, i) = MATRIX(*sd, i, j);
}
}
}
if (!cites) {
igraph_matrix_destroy(notnull);
IGRAPH_FINALLY_CLEAN(1);
}
if (!norm) {
igraph_matrix_destroy(normfact);
IGRAPH_FINALLY_CLEAN(1);
}
igraph_matrix_destroy(&ch);
igraph_matrix_destroy(&ntkk);
igraph_vector_long_destroy(&ntk);
igraph_vector_char_destroy(&added);
igraph_vector_long_destroy(&papers);
IGRAPH_FINALLY_CLEAN(5);
return 0;
}
int igraph_biconnected_components(const igraph_t *graph,
igraph_integer_t *no,
igraph_vector_ptr_t *components,
igraph_vector_t *articulation_points) {
long int no_of_nodes=igraph_vcount(graph);
igraph_vector_long_t nextptr;
igraph_vector_long_t num, low;
igraph_vector_bool_t found;
igraph_vector_t *adjedges;
igraph_stack_t path;
igraph_vector_t edgestack;
igraph_adjedgelist_t adjedgelist;
long int i, counter, rootdfs=0;
IGRAPH_CHECK(igraph_vector_long_init(&nextptr, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &nextptr);
IGRAPH_CHECK(igraph_vector_long_init(&num, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &num);
IGRAPH_CHECK(igraph_vector_long_init(&low, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &low);
IGRAPH_CHECK(igraph_vector_bool_init(&found, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_bool_destroy, &found);
IGRAPH_CHECK(igraph_stack_init(&path, 100));
IGRAPH_FINALLY(igraph_stack_destroy, &path);
IGRAPH_VECTOR_INIT_FINALLY(&edgestack, 0);
IGRAPH_CHECK(igraph_vector_reserve(&edgestack, 100));
IGRAPH_CHECK(igraph_adjedgelist_init(graph, &adjedgelist, IGRAPH_ALL));
IGRAPH_FINALLY(igraph_adjedgelist_destroy, &adjedgelist);
if (no) {
*no=0;
}
if (components) {
igraph_vector_ptr_clear(components);
}
if (articulation_points) {
igraph_vector_clear(articulation_points);
}
for (i=0; i<no_of_nodes; i++) {
if (VECTOR(low)[i] != 0) {
continue; /* already visited */
}
IGRAPH_ALLOW_INTERRUPTION();
IGRAPH_CHECK(igraph_stack_push(&path, i));
counter=1;
rootdfs=0;
VECTOR(low)[i]=VECTOR(num)[i]=counter++;
while (!igraph_stack_empty(&path)) {
long int n;
long int act=igraph_stack_top(&path);
long int actnext=VECTOR(nextptr)[act];
adjedges=igraph_adjedgelist_get(&adjedgelist, act);
n=igraph_vector_size(adjedges);
if (actnext < n) {
/* Step down (maybe) */
long int edge=VECTOR(*adjedges)[actnext];
long int nei=IGRAPH_OTHER(graph, edge, act);
if (VECTOR(low)[nei] == 0) {
if (act==i) {
rootdfs++;
}
IGRAPH_CHECK(igraph_vector_push_back(&edgestack, edge));
IGRAPH_CHECK(igraph_stack_push(&path, nei));
VECTOR(low)[nei] = VECTOR(num)[nei]=counter++;
} else {
/* Update low value if needed */
if (VECTOR(num)[nei] < VECTOR(low)[act]) {
VECTOR(low)[act]=VECTOR(num)[nei];
}
}
VECTOR(nextptr)[act] += 1;
} else {
/* Step up */
igraph_stack_pop(&path);
if (!igraph_stack_empty(&path)) {
long int prev=igraph_stack_top(&path);
/* Update LOW value if needed */
if (VECTOR(low)[act] < VECTOR(low)[prev]) {
VECTOR(low)[prev] = VECTOR(low)[act];
}
/* Check for articulation point */
if (VECTOR(low)[act] >= VECTOR(num)[prev]) {
if (articulation_points && !VECTOR(found)[prev]
&& prev != i /* the root */) {
IGRAPH_CHECK(igraph_vector_push_back(articulation_points, prev));
VECTOR(found)[prev] = 1;
}
if (no) {
*no += 1;
}
if (components) {
igraph_vector_t *v=igraph_Calloc(1, igraph_vector_t);
IGRAPH_CHECK(igraph_vector_init(v, 0));
while (!igraph_vector_empty(&edgestack)) {
long int e=igraph_vector_pop_back(&edgestack);
IGRAPH_CHECK(igraph_vector_push_back(v, e));
if (IGRAPH_FROM(graph,e)==prev || IGRAPH_TO(graph,e)==prev) {
break;
}
}
IGRAPH_CHECK(igraph_vector_ptr_push_back(components, v));
}
}
} /* !igraph_stack_empty(&path) */
}
} /* !igraph_stack_empty(&path) */
if (articulation_points && rootdfs >= 2) {
IGRAPH_CHECK(igraph_vector_push_back(articulation_points, i));
}
} /* i < no_of_nodes */
igraph_adjedgelist_destroy(&adjedgelist);
igraph_vector_destroy(&edgestack);
igraph_stack_destroy(&path);
igraph_vector_bool_destroy(&found);
igraph_vector_long_destroy(&low);
igraph_vector_long_destroy(&num);
igraph_vector_long_destroy(&nextptr);
IGRAPH_FINALLY_CLEAN(7);
return 0;
}
int igraph_revolver_st_d_d(const igraph_t *graph,
igraph_lazy_inclist_t *inclist,
igraph_vector_t *st,
const igraph_matrix_t *kernel,
const igraph_vector_t *vtime,
const igraph_vector_t *vtimeidx,
const igraph_vector_t *etime,
const igraph_vector_t *etimeidx,
igraph_integer_t pno_of_events) {
long int no_of_events=pno_of_events;
long int maxdegree=igraph_matrix_nrow(kernel)-1;
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
long int timestep=0;
igraph_vector_long_t degree;
igraph_vector_long_t ntk;
igraph_vector_char_t added;
igraph_vector_t *adjedges;
long int i;
long int nptr=0, eptr=0;
IGRAPH_CHECK(igraph_vector_long_init(&ntk, maxdegree+1));
IGRAPH_FINALLY(igraph_vector_long_destroy, &ntk);
IGRAPH_CHECK(igraph_vector_long_init(°ree, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, °ree);
IGRAPH_CHECK(igraph_vector_char_init(&added, no_of_edges));
IGRAPH_FINALLY(igraph_vector_char_destroy, &added);
IGRAPH_CHECK(igraph_vector_resize(st, no_of_events));
VECTOR(*st)[0]=0;
for (timestep=0; timestep<no_of_events-1; timestep++) {
IGRAPH_ALLOW_INTERRUPTION();
/* add the new nodes */
while (nptr < no_of_nodes &&
VECTOR(*vtime)[ (long int) VECTOR(*vtimeidx)[nptr] ] == timestep) {
for (i=0; i<maxdegree+1; i++) {
VECTOR(*st)[timestep] += VECTOR(ntk)[i]*MATRIX(*kernel, i, 0);
}
VECTOR(ntk)[0]++;
nptr++;
}
/* add the new edges as well, but this is for the next timestep
already */
VECTOR(*st)[timestep+1] = VECTOR(*st)[timestep];
while (eptr < no_of_edges &&
VECTOR(*etime)[ (long int) VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge);
long int to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(degree)[from];
long int yidx=VECTOR(degree)[to];
igraph_real_t inc=0;
long int n;
inc -= MATRIX(*kernel, xidx, yidx);
for (i=0; i<maxdegree+1; i++) {
inc += VECTOR(ntk)[i] * (MATRIX(*kernel, i, xidx+1) -
MATRIX(*kernel, i, xidx) +
MATRIX(*kernel, i, yidx+1) -
MATRIX(*kernel, i, yidx));
}
inc -= MATRIX(*kernel, xidx+1, xidx+1);
inc -= MATRIX(*kernel, yidx+1, yidx+1);
inc += MATRIX(*kernel, xidx, xidx);
inc += MATRIX(*kernel, yidx, yidx);
VECTOR(ntk)[xidx]--;
VECTOR(ntk)[yidx]--;
VECTOR(ntk)[xidx+1]++;
VECTOR(ntk)[yidx+1]++;
adjedges=igraph_lazy_inclist_get(inclist, (igraph_integer_t) from);
n=igraph_vector_size(adjedges);
for (i=0; i<n; i++) {
long int edge=(long int) VECTOR(*adjedges)[i];
if (VECTOR(added)[edge]) {
long int otherv=IGRAPH_OTHER(graph, edge, from);
long int deg=VECTOR(degree)[otherv];
inc += MATRIX(*kernel, xidx, deg);
inc -= MATRIX(*kernel, xidx+1, deg);
}
}
adjedges=igraph_lazy_inclist_get(inclist, (igraph_integer_t) to);
n=igraph_vector_size(adjedges);
for (i=0; i<n; i++) {
long int edge=(long int) VECTOR(*adjedges)[i];
if (VECTOR(added)[edge]) {
long int otherv=IGRAPH_OTHER(graph, edge, to);
long int deg=VECTOR(degree)[otherv];
inc += MATRIX(*kernel, yidx, deg);
inc -= MATRIX(*kernel, yidx+1, deg);
}
}
VECTOR(degree)[from] += 1;
VECTOR(degree)[to] += 1;
VECTOR(added)[edge]=1;
VECTOR(*st)[timestep+1] += inc;
eptr++;
}
}
igraph_vector_char_destroy(&added);
igraph_vector_long_destroy(°ree);
igraph_vector_long_destroy(&ntk);
IGRAPH_FINALLY_CLEAN(3);
return 0;
}
int igraph_revolver_error_d_d(const igraph_t *graph,
igraph_lazy_inclist_t *inclist,
const igraph_matrix_t *kernel,
const igraph_vector_t *st,
const igraph_vector_t *vtime,
const igraph_vector_t *vtimeidx,
const igraph_vector_t *etime,
const igraph_vector_t *etimeidx,
igraph_integer_t pno_of_events,
igraph_integer_t pmaxdegree,
igraph_real_t *logprob,
igraph_real_t *lognull) {
long int no_of_events=pno_of_events;
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
igraph_vector_long_t degree;
long int timestep, nptr=0, eptr=0, eptr_save;
long int edges=0, vertices=0;
igraph_real_t rlogprob, rlognull, *mylogprob=logprob, *mylognull=lognull;
IGRAPH_CHECK(igraph_vector_long_init(°ree, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, °ree);
if (!logprob) {
mylogprob=&rlogprob;
}
if (!lognull) {
mylognull=&rlognull;
}
*mylogprob=0;
*mylognull=0;
for (timestep=0; timestep<no_of_events; timestep++) {
IGRAPH_ALLOW_INTERRUPTION();
while (nptr < no_of_nodes &&
VECTOR(*vtime)[ (long int) VECTOR(*vtimeidx)[nptr] ] == timestep) {
vertices++;
nptr++;
}
eptr_save=eptr;
while (eptr < no_of_edges &&
VECTOR(*etime)[ (long int) VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge);
long int to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(degree)[from];
long int yidx=VECTOR(degree)[to];
igraph_real_t prob=MATRIX(*kernel, xidx, yidx)/VECTOR(*st)[timestep];
igraph_real_t nullprob=1.0/(vertices*(vertices-1)/2-eptr_save);
*mylogprob += log(prob);
*mylognull += log(nullprob);
edges++;
eptr++;
}
eptr=eptr_save;
while (eptr < no_of_edges &&
VECTOR(*etime)[ (long int) VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge);
long int to=IGRAPH_TO(graph, edge);
VECTOR(degree)[from] += 1;
VECTOR(degree)[to] += 1;
eptr++;
}
}
igraph_vector_long_destroy(°ree);
IGRAPH_FINALLY_CLEAN(1);
return 0;
}
int igraph_revolver_st_p_p(const igraph_t *graph,
igraph_lazy_inclist_t *inclist,
igraph_vector_t *st,
const igraph_matrix_t *kernel,
const igraph_vector_t *vtime,
const igraph_vector_t *vtimeidx,
const igraph_vector_t *etime,
const igraph_vector_t *etimeidx,
igraph_integer_t pno_of_events,
const igraph_vector_t *authors,
const igraph_vector_t *eventsizes,
igraph_integer_t pmaxpapers) {
long int no_of_events=pno_of_events;
long int maxpapers=igraph_matrix_nrow(kernel)-1;
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
long int timestep=0;
igraph_vector_long_t papers;
igraph_vector_long_t ntk;
igraph_vector_char_t added;
igraph_vector_t *adjedges;
long int i;
long int nptr=0, eptr=0, aptr=0, nptr_save;
IGRAPH_CHECK(igraph_vector_long_init(&ntk, maxpapers+1));
IGRAPH_FINALLY(igraph_vector_long_destroy, &ntk);
IGRAPH_CHECK(igraph_vector_long_init(&papers, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &papers);
IGRAPH_CHECK(igraph_vector_char_init(&added, no_of_edges));
IGRAPH_FINALLY(igraph_vector_char_destroy, &added);
IGRAPH_CHECK(igraph_vector_resize(st, no_of_events));
VECTOR(*st)[0]=0;
for (timestep=0; timestep<no_of_events-1; timestep++) {
IGRAPH_ALLOW_INTERRUPTION();
/* add the new nodes */
nptr_save=nptr;
while (nptr < no_of_nodes &&
VECTOR(*vtime)[ (long int) VECTOR(*vtimeidx)[nptr] ] == timestep) {
nptr++;
}
nptr_save=nptr-nptr_save;
if (nptr_save != 0) {
for (i=0; i<maxpapers+1; i++) {
VECTOR(*st)[timestep] += VECTOR(ntk)[i]*MATRIX(*kernel, i, 0)*nptr_save;
}
VECTOR(*st)[timestep] += nptr_save*(nptr_save-1)/2 * MATRIX(*kernel, 0, 0);
VECTOR(ntk)[0]+=nptr_save;
}
VECTOR(*st)[timestep+1] = VECTOR(*st)[timestep];
for (i=aptr; i<aptr+VECTOR(*eventsizes)[timestep]; i++) {
long int aut=(long int) VECTOR(*authors)[i];
long int pap=VECTOR(papers)[aut];
long int j, n;
for (j=0; j<maxpapers+1; j++) {
VECTOR(*st)[timestep+1] += VECTOR(ntk)[j] * (MATRIX(*kernel, j, pap+1)-
MATRIX(*kernel, j, pap));
}
VECTOR(*st)[timestep+1] += MATRIX(*kernel, pap, pap);
VECTOR(*st)[timestep+1] -= MATRIX(*kernel, pap+1, pap+1);
VECTOR(ntk)[pap]--;
VECTOR(ntk)[pap+1]++;
adjedges=igraph_lazy_inclist_get(inclist, (igraph_integer_t) aut);
n=igraph_vector_size(adjedges);
for (j=0; j<n; j++) {
long int edge=(long int) VECTOR(*adjedges)[j];
if (VECTOR(added)[edge]) {
long int otherv=IGRAPH_OTHER(graph, edge, aut);
long int otherpap=VECTOR(papers)[otherv];
VECTOR(*st)[timestep+1] += MATRIX(*kernel, pap, otherpap);
VECTOR(*st)[timestep+1] -= MATRIX(*kernel, pap+1, otherpap);
}
}
VECTOR(papers)[aut] += 1;
}
aptr += VECTOR(*eventsizes)[timestep];
while (eptr < no_of_edges &&
VECTOR(*etime)[ (long int) VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge);
long int to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(papers)[from];
long int yidx=VECTOR(papers)[to];
VECTOR(*st)[timestep+1] -= MATRIX(*kernel, xidx, yidx);
VECTOR(added)[edge]=1;
eptr++;
}
}
igraph_vector_char_destroy(&added);
igraph_vector_long_destroy(&papers);
igraph_vector_long_destroy(&ntk);
IGRAPH_FINALLY_CLEAN(3);
return 0;
}
int igraph_revolver_mes_d_d(const igraph_t *graph,
igraph_lazy_inclist_t *inclist,
igraph_matrix_t *kernel,
igraph_matrix_t *sd,
igraph_matrix_t *norm,
igraph_matrix_t *cites,
const igraph_matrix_t *debug,
igraph_vector_ptr_t *debugres,
const igraph_vector_t *st,
const igraph_vector_t *vtime,
const igraph_vector_t *vtimeidx,
const igraph_vector_t *etime,
const igraph_vector_t *etimeidx,
igraph_integer_t pno_of_events,
igraph_integer_t pmaxdegree) {
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
long int no_of_events=pno_of_events;
long int maxdegree=pmaxdegree;
igraph_vector_long_t degree;
igraph_vector_char_t added; /* is this edge already in the network? */
igraph_matrix_t v_normfact, *normfact, v_notnull, *notnull;
igraph_matrix_t ch;
igraph_vector_long_t ntk; /* # of type x vertices */
igraph_matrix_t ntkk; /* # of connections between type x1, x2 vert. */
igraph_vector_t *adjedges;
long int timestep, i;
long int nptr=0, eptr=0;
long int nptr_save, eptr_save, eptr_new;
IGRAPH_CHECK(igraph_vector_long_init(°ree, no_of_nodes));
IGRAPH_FINALLY(&igraph_vector_long_destroy, °ree);
IGRAPH_CHECK(igraph_vector_char_init(&added, no_of_edges));
IGRAPH_FINALLY(igraph_vector_char_destroy, &added);
IGRAPH_CHECK(igraph_vector_long_init(&ntk, maxdegree+1));
IGRAPH_FINALLY(igraph_vector_long_destroy, &ntk);
IGRAPH_MATRIX_INIT_FINALLY(&ntkk, maxdegree+1, maxdegree+1);
IGRAPH_MATRIX_INIT_FINALLY(&ch, maxdegree+1, maxdegree+1);
if (norm) {
normfact=norm;
IGRAPH_CHECK(igraph_matrix_resize(normfact, maxdegree+1, maxdegree+1));
igraph_matrix_null(normfact);
} else {
normfact=&v_normfact;
IGRAPH_MATRIX_INIT_FINALLY(normfact, maxdegree+1, maxdegree+1);
}
if (cites) {
notnull=cites;
IGRAPH_CHECK(igraph_matrix_resize(notnull, maxdegree+1, maxdegree+1));
igraph_matrix_null(notnull);
} else {
notnull=&v_notnull;
IGRAPH_MATRIX_INIT_FINALLY(notnull, maxdegree+1, maxdegree+1);
}
IGRAPH_CHECK(igraph_matrix_resize(kernel, maxdegree+1, maxdegree+1));
igraph_matrix_null(kernel);
if (sd) {
IGRAPH_CHECK(igraph_matrix_resize(sd, maxdegree+1, maxdegree+1));
igraph_matrix_null(sd);
}
for (timestep=0; timestep<no_of_events; timestep++) {
IGRAPH_ALLOW_INTERRUPTION();
/* Add the vertices in the first */
nptr_save=nptr;
while (nptr < no_of_nodes &&
VECTOR(*vtime)[(long int)VECTOR(*vtimeidx)[nptr]]==timestep) {
nptr++;
}
VECTOR(ntk)[0] += (nptr-nptr_save);
/* Update ch accordingly, could be done later as well */
if (VECTOR(ntk)[0] == nptr-nptr_save && nptr!=nptr_save) {
if (nptr-nptr_save >= 2) {
MATRIX(ch, 0, 0) = eptr;
}
for (i=1; i<maxdegree+1; i++) {
if (NTKK(0,i) == (nptr-nptr_save)*VECTOR(ntk)[i]) {
MATRIX(ch, 0, i) = MATRIX(ch, i, 0) = eptr;
}
}
}
/* Estimate Akk */
eptr_save=eptr;
while (eptr < no_of_edges &&
VECTOR(*etime)[(long int)VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge), to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(degree)[from];
long int yidx=VECTOR(degree)[to];
double xk, oldakk;
MATRIX(*notnull, xidx, yidx) += 1;
MATRIX(*notnull, yidx, xidx) = MATRIX(*notnull, xidx, yidx);
xk=VECTOR(*st)[timestep]/NTKK(xidx, yidx);
oldakk=MATRIX(*kernel, xidx, yidx);
MATRIX(*kernel, xidx, yidx) += (xk-oldakk)/MATRIX(*notnull, xidx, yidx);
MATRIX(*kernel, yidx, xidx) = MATRIX(*kernel, xidx, yidx);
if (sd) {
MATRIX(*sd, xidx, yidx) += (xk-oldakk)*(xk-MATRIX(*kernel, xidx, yidx));
MATRIX(*sd, yidx, xidx) = MATRIX(*sd, xidx, yidx);
}
/* TODO: debug */
eptr++;
}
/* Update ntkk, ntk, ch, normfact, add the edges */
eptr_new=eptr;
eptr=eptr_save;
while (eptr < no_of_edges &&
VECTOR(*etime)[(long int) VECTOR(*etimeidx)[eptr] ] == timestep) {
long int edge=(long int) VECTOR(*etimeidx)[eptr];
long int from=IGRAPH_FROM(graph, edge);
long int to=IGRAPH_TO(graph, edge);
long int xidx=VECTOR(degree)[from];
long int yidx=VECTOR(degree)[to];
long int n;
adjedges=igraph_lazy_inclist_get(inclist, (igraph_integer_t) from);
n=igraph_vector_size(adjedges);
for (i=0; i<n; i++) {
long int edge=(long int) VECTOR(*adjedges)[i];
if (VECTOR(added)[edge]) {
long int otherv=IGRAPH_OTHER(graph, edge, from); /* other than from */
long int deg=VECTOR(degree)[otherv];
MATRIX(ntkk, xidx, deg) -= 1;
MATRIX(ntkk, deg, xidx) = MATRIX(ntkk, xidx, deg);
if (NTKK(xidx, deg)==1) {
MATRIX(ch, deg, xidx) = eptr_new;
MATRIX(ch, xidx, deg) = MATRIX(ch, deg, xidx);
}
MATRIX(ntkk, xidx+1, deg) += 1;
MATRIX(ntkk, deg, xidx+1) = MATRIX(ntkk, xidx+1, deg);
if (NTKK(xidx+1, deg)==0) {
MATRIX(*normfact, xidx+1, deg) += eptr_new-MATRIX(ch, xidx+1, deg);
MATRIX(*normfact, deg, xidx+1) = MATRIX(*normfact, xidx+1, deg);
}
}
}
adjedges=igraph_lazy_inclist_get(inclist, (igraph_integer_t) to);
n=igraph_vector_size(adjedges);
for (i=0; i<n; i++) {
long int edge=(long int) VECTOR(*adjedges)[i];
if (VECTOR(added)[edge]) {
long int otherv=IGRAPH_OTHER(graph, edge, to); /* other than to */
long int deg=VECTOR(degree)[otherv];
MATRIX(ntkk, yidx, deg) -= 1;
MATRIX(ntkk, deg, yidx) = MATRIX(ntkk, yidx, deg);
if (NTKK(yidx, deg)==1) {
MATRIX(ch, deg, yidx) = eptr_new;
MATRIX(ch, yidx, deg) = MATRIX(ch, deg, yidx);
}
MATRIX(ntkk, yidx+1, deg) += 1;
MATRIX(ntkk, deg, yidx+1) = MATRIX(ntkk, yidx+1, deg);
if (NTKK(yidx+1, deg)==0) {
MATRIX(*normfact, yidx+1, deg) += eptr_new-MATRIX(ch, yidx+1, deg);
MATRIX(*normfact, deg, yidx+1) = MATRIX(*normfact, yidx+1, deg);
}
}
}
VECTOR(added)[edge]=1;
MATRIX(ntkk, xidx+1, yidx+1) += 1;
MATRIX(ntkk, yidx+1, xidx+1) = MATRIX(ntkk, xidx+1, yidx+1);
if (NTKK(xidx+1, yidx+1)==0) {
MATRIX(*normfact, xidx+1, yidx+1) = eptr_new-MATRIX(ch, xidx+1, yidx+1);
MATRIX(*normfact, yidx+1, xidx+1) = MATRIX(*normfact, xidx+1, yidx+1);
}
for (i=0; i<maxdegree+1; i++) {
long int before, after;
before=(long int) NTKK(xidx,i);
VECTOR(ntk)[xidx] -= 1;
after=(long int) NTKK(xidx,i);
VECTOR(ntk)[xidx] += 1;
if (before > 0 && after==0) {
MATRIX(*normfact, xidx, i) += eptr_new-MATRIX(ch, xidx, i);
MATRIX(*normfact, i, xidx) = MATRIX(*normfact, xidx, i);
}
}
VECTOR(ntk)[xidx]--;
for (i=0; i<maxdegree+1; i++) {
long int before, after;
before=(long int) NTKK(yidx, i);
VECTOR(ntk)[yidx] -= 1;
after=(long int) NTKK(yidx, i);
VECTOR(ntk)[yidx] += 1;
if (before > 0 && after==0) {
MATRIX(*normfact, yidx, i) += eptr_new-MATRIX(ch, yidx, i);
MATRIX(*normfact, i, yidx) = MATRIX(*normfact, yidx, i);
}
}
VECTOR(ntk)[yidx]--;
for (i=0; i<maxdegree+1; i++) {
long int before, after;
before=(long int) NTKK(xidx+1, i);
VECTOR(ntk)[xidx+1] += 1;
after=(long int) NTKK(xidx+1, i);
VECTOR(ntk)[xidx+1] -= 1;
if (before==0 && after > 0) {
MATRIX(ch, xidx+1, i) = eptr_new;
MATRIX(ch, i, xidx+1) = MATRIX(ch, xidx+1, i);
}
}
VECTOR(ntk)[xidx+1]++;
for (i=0; i<maxdegree+1; i++) {
long int before, after;
before=(long int) NTKK(yidx+1, i);
VECTOR(ntk)[yidx+1] += 1;
after=(long int) NTKK(yidx+1, i);
VECTOR(ntk)[yidx+1] -= 1;
if (before == 0 && after == 0) {
MATRIX(ch, yidx+1, i) = eptr_new;
MATRIX(ch, i, yidx+1) = MATRIX(ch, yidx+1, i);
}
}
VECTOR(ntk)[yidx+1]++;
VECTOR(degree)[from]++;
VECTOR(degree)[to]++;
eptr++;
}
}
for (i=0; i<maxdegree+1; i++) {
igraph_real_t oldakk;
long int j;
for (j=0; j<=i; j++) {
if (NTKK(i, j) != 0) {
MATRIX(*normfact, i, j) += (eptr-MATRIX(ch, i, j));
MATRIX(*normfact, j, i) = MATRIX(*normfact, i, j);
}
if (MATRIX(*normfact, i, j)==0) {
MATRIX(*kernel, i, j)=MATRIX(*kernel, j, i)=0;
MATRIX(*normfact, i, j)=MATRIX(*normfact, j, i)=1;
}
oldakk=MATRIX(*kernel, i, j);
MATRIX(*kernel, i, j) *= MATRIX(*notnull, i, j)/MATRIX(*normfact, i, j);
MATRIX(*kernel, j, i) = MATRIX(*kernel, i, j);
if (sd) {
MATRIX(*sd, i, j) += oldakk * oldakk * MATRIX(*notnull, i, j) *
(1-MATRIX(*notnull, i, j)/MATRIX(*normfact, i, j));
MATRIX(*sd, i, j) = sqrt(MATRIX(*sd, i, j)/(MATRIX(*normfact, i, j)-1));
MATRIX(*sd, j, i) = MATRIX(*sd, i, j);
}
}
}
if (!cites) {
igraph_matrix_destroy(notnull);
IGRAPH_FINALLY_CLEAN(1);
}
if (!norm) {
igraph_matrix_destroy(normfact);
IGRAPH_FINALLY_CLEAN(1);
}
igraph_matrix_destroy(&ch);
igraph_matrix_destroy(&ntkk);
igraph_vector_long_destroy(&ntk);
igraph_vector_char_destroy(&added);
igraph_vector_long_destroy(°ree);
IGRAPH_FINALLY_CLEAN(5);
return 0;
}
int check_multi() {
igraph_t g;
igraph_vector_t vec;
igraph_vector_t eids, eids2;
int ret;
long int i;
igraph_real_t q1[] = { 0,1, 0,1 };
igraph_real_t q2[] = { 0,1, 0,1, 0,1 };
igraph_real_t q3[] = { 1,0, 3,4, 1,0, 0,1, 3,4, 0,1 };
igraph_vector_init(&eids, 0);
/*********************************/
igraph_small(&g, /*n=*/ 10, /*directed=*/ 1,
0,1, 0,1, 1,0, 1,2, 3,4, 3,4, 3,4, 3,5, 3,7,
9,8,
-1);
igraph_vector_view(&vec, q1, sizeof(q1) / sizeof(igraph_real_t));
igraph_get_eids_multi(&g, &eids, &vec, 0, /*directed=*/ 1, /*error=*/ 1);
igraph_vector_sort(&eids);
print_vector(&eids, stdout);
igraph_vector_view(&vec, q2, sizeof(q2) / sizeof(igraph_real_t));
igraph_get_eids_multi(&g, &eids, &vec, 0, /*directed=*/ 0, /*error=*/ 1);
igraph_vector_sort(&eids);
print_vector(&eids, stdout);
igraph_vector_view(&vec, q2, sizeof(q2) / sizeof(igraph_real_t));
igraph_set_error_handler(igraph_error_handler_ignore);
ret=igraph_get_eids_multi(&g, &eids, &vec, 0, /*directed=*/ 1, /*error=*/1);
if (ret != IGRAPH_EINVAL) { return 1; }
igraph_set_error_handler(igraph_error_handler_abort);
igraph_destroy(&g);
/*********************************/
/*********************************/
igraph_small(&g, /*n=*/10, /*directed=*/0,
0,1, 1,0, 0,1, 3,4, 3,4, 5,4, 9,8,
-1);
igraph_vector_view(&vec, q1, sizeof(q1) / sizeof(igraph_real_t));
igraph_get_eids_multi(&g, &eids, &vec, 0, /*directed=*/1, /*error=*/ 1);
igraph_vector_sort(&eids);
print_vector(&eids, stdout);
igraph_vector_view(&vec, q3, sizeof(q3) / sizeof(igraph_real_t));
igraph_set_error_handler(igraph_error_handler_ignore);
ret=igraph_get_eids_multi(&g, &eids, &vec, 0, /*directed=*/0, /*error=*/ 1);
if (ret != IGRAPH_EINVAL) { return 2; }
igraph_set_error_handler(igraph_error_handler_abort);
igraph_destroy(&g);
/*********************************/
igraph_vector_destroy(&eids);
/*********************************/
/* Speed tests */
#define NODES 10000
igraph_barabasi_game(&g, /*n=*/ NODES, /*power=*/ 1.0, /*m=*/ 3,
/*outseq=*/ 0, /*outpref=*/ 0, /*A=*/ 1,
/*directed=*/ 1, IGRAPH_BARABASI_BAG,
/*start_from=*/ 0);
igraph_simplify(&g, /*multiple=*/ 1, /*loops=*/ 0, /*edge_comb=*/ 0);
igraph_vector_init(&eids, NODES/2);
igraph_random_sample(&eids, 0, igraph_ecount(&g)-1, NODES/2);
igraph_vector_init(&vec, NODES);
for (i=0; i<NODES/2; i++) {
VECTOR(vec)[2*i] = IGRAPH_FROM(&g, VECTOR(eids)[i]);
VECTOR(vec)[2*i+1] = IGRAPH_TO(&g, VECTOR(eids)[i]);
}
igraph_vector_init(&eids2, 0);
igraph_get_eids_multi(&g, &eids2, &vec, 0, /*directed=*/ 1, /*error=*/ 1);
if (!igraph_vector_all_e(&eids, &eids2)) {
return 3;
}
/**/
for (i=0; i<NODES/2; i++) {
VECTOR(vec)[2*i] = IGRAPH_TO(&g, VECTOR(eids)[i]);
VECTOR(vec)[2*i+1] = IGRAPH_FROM(&g, VECTOR(eids)[i]);
}
igraph_get_eids_multi(&g, &eids2, &vec, 0, /*directed=*/ 0, /*error=*/ 1);
if (!igraph_vector_all_e(&eids, &eids2)) {
return 4;
}
igraph_vector_destroy(&eids);
igraph_vector_destroy(&eids2);
igraph_vector_destroy(&vec);
igraph_destroy(&g);
/*********************************/
return 0;
}
/**
* \function igraph_community_fastgreedy
* \brief Finding community structure by greedy optimization of modularity
*
* This function implements the fast greedy modularity optimization
* algorithm for finding community structure, see
* A Clauset, MEJ Newman, C Moore: Finding community structure in very
* large networks, http://www.arxiv.org/abs/cond-mat/0408187 for the
* details.
*
* </para><para>
* Some improvements proposed in K Wakita, T Tsurumi: Finding community
* structure in mega-scale social networks,
* http://www.arxiv.org/abs/cs.CY/0702048v1 have also been implemented.
*
* \param graph The input graph. It must be a simple graph, i.e. a graph
* without multiple and without loop edges. This is checked and an
* error message is given for non-simple graphs.
* \param weights Potentially a numeric vector containing edge
* weights. Supply a null pointer here for unweighted graphs. The
* weights are expected to be non-negative.
* \param merges Pointer to an initialized matrix or NULL, the result of the
* computation is stored here. The matrix has two columns and each
* merge corresponds to one merge, the ids of the two merged
* components are stored. The component ids are numbered from zero and
* the first \c n components are the individual vertices, \c n is
* the number of vertices in the graph. Component \c n is created
* in the first merge, component \c n+1 in the second merge, etc.
* The matrix will be resized as needed. If this argument is NULL
* then it is ignored completely.
* \param modularity Pointer to an initialized matrix or NULL pointer,
* in the former case the modularity scores along the stages of the
* computation are recorded here. The vector will be resized as
* needed.
* \return Error code.
*
* \sa \ref igraph_community_walktrap(), \ref
* igraph_community_edge_betweenness() for other community detection
* algorithms, \ref igraph_community_to_membership() to convert the
* dendrogram to a membership vector.
*
* Time complexity: O(|E||V|log|V|) in the worst case,
* O(|E|+|V|log^2|V|) typically, |V| is the number of vertices, |E| is
* the number of edges.
*/
int igraph_community_fastgreedy(const igraph_t *graph,
const igraph_vector_t *weights,
igraph_matrix_t *merges, igraph_vector_t *modularity) {
long int no_of_edges, no_of_nodes, no_of_joins, total_joins;
long int i, j, k, n, m, from, to, dummy;
igraph_integer_t ffrom, fto;
igraph_eit_t edgeit;
igraph_i_fastgreedy_commpair *pairs, *p1, *p2;
igraph_i_fastgreedy_community_list communities;
igraph_vector_t a;
igraph_real_t q, maxq, *dq, weight_sum;
igraph_bool_t simple;
/*long int join_order[] = { 16,5, 5,6, 6,0, 4,0, 10,0, 26,29, 29,33, 23,33, 27,33, 25,24, 24,31, 12,3, 21,1, 30,8, 8,32, 9,2, 17,1, 11,0, 7,3, 3,2, 13,2, 1,2, 28,31, 31,33, 22,32, 18,32, 20,32, 32,33, 15,33, 14,33, 0,19, 19,2, -1,-1 };*/
/*long int join_order[] = { 43,42, 42,41, 44,41, 41,36, 35,36, 37,36, 36,29, 38,29, 34,29, 39,29, 33,29, 40,29, 32,29, 14,29, 30,29, 31,29, 6,18, 18,4, 23,4, 21,4, 19,4, 27,4, 20,4, 22,4, 26,4, 25,4, 24,4, 17,4, 0,13, 13,2, 1,2, 11,2, 8,2, 5,2, 3,2, 10,2, 9,2, 7,2, 2,28, 28,15, 12,15, 29,16, 4,15, -1,-1 };*/
no_of_nodes = igraph_vcount(graph);
no_of_edges = igraph_ecount(graph);
if (igraph_is_directed(graph)) {
IGRAPH_ERROR("fast greedy community detection works for undirected graphs only", IGRAPH_UNIMPLEMENTED);
}
total_joins=no_of_nodes-1;
if (weights != 0) {
if (igraph_vector_size(weights) < igraph_ecount(graph))
IGRAPH_ERROR("fast greedy community detection: weight vector too short", IGRAPH_EINVAL);
if (igraph_vector_any_smaller(weights, 0))
IGRAPH_ERROR("weights must be positive", IGRAPH_EINVAL);
weight_sum = igraph_vector_sum(weights);
} else weight_sum = no_of_edges;
IGRAPH_CHECK(igraph_is_simple(graph, &simple));
if (!simple) {
IGRAPH_ERROR("fast-greedy community finding works only on simple graphs", IGRAPH_EINVAL);
}
if (merges != 0) {
IGRAPH_CHECK(igraph_matrix_resize(merges, total_joins, 2));
igraph_matrix_null(merges);
}
if (modularity != 0) {
IGRAPH_CHECK(igraph_vector_resize(modularity, total_joins+1));
}
/* Create degree vector */
IGRAPH_VECTOR_INIT_FINALLY(&a, no_of_nodes);
if (weights) {
debug("Calculating weighted degrees\n");
for (i=0; i < no_of_edges; i++) {
VECTOR(a)[(long int)IGRAPH_FROM(graph, i)] += VECTOR(*weights)[i];
VECTOR(a)[(long int)IGRAPH_TO(graph, i)] += VECTOR(*weights)[i];
}
} else {
debug("Calculating degrees\n");
IGRAPH_CHECK(igraph_degree(graph, &a, igraph_vss_all(), IGRAPH_ALL, 0));
}
/* Create list of communities */
debug("Creating community list\n");
communities.n = no_of_nodes;
communities.no_of_communities = no_of_nodes;
communities.e = (igraph_i_fastgreedy_community*)calloc(no_of_nodes, sizeof(igraph_i_fastgreedy_community));
if (communities.e == 0) {
IGRAPH_ERROR("can't run fast greedy community detection", IGRAPH_ENOMEM);
}
IGRAPH_FINALLY(free, communities.e);
communities.heap = (igraph_i_fastgreedy_community**)calloc(no_of_nodes, sizeof(igraph_i_fastgreedy_community*));
if (communities.heap == 0) {
IGRAPH_ERROR("can't run fast greedy community detection", IGRAPH_ENOMEM);
}
IGRAPH_FINALLY(free, communities.heap);
communities.heapindex = (igraph_integer_t*)calloc(no_of_nodes, sizeof(igraph_integer_t));
if (communities.heapindex == 0) {
IGRAPH_ERROR("can't run fast greedy community detection", IGRAPH_ENOMEM);
}
IGRAPH_FINALLY_CLEAN(2);
IGRAPH_FINALLY(igraph_i_fastgreedy_community_list_destroy, &communities);
for (i=0; i<no_of_nodes; i++) {
igraph_vector_ptr_init(&communities.e[i].neis, 0);
communities.e[i].id = i;
communities.e[i].size = 1;
}
/* Create list of community pairs from edges */
debug("Allocating dq vector\n");
dq = (igraph_real_t*)calloc(no_of_edges, sizeof(igraph_real_t));
if (dq == 0) {
IGRAPH_ERROR("can't run fast greedy community detection", IGRAPH_ENOMEM);
}
IGRAPH_FINALLY(free, dq);
debug("Creating community pair list\n");
IGRAPH_CHECK(igraph_eit_create(graph, igraph_ess_all(0), &edgeit));
IGRAPH_FINALLY(igraph_eit_destroy, &edgeit);
pairs = (igraph_i_fastgreedy_commpair*)calloc(2*no_of_edges, sizeof(igraph_i_fastgreedy_commpair));
if (pairs == 0) {
IGRAPH_ERROR("can't run fast greedy community detection", IGRAPH_ENOMEM);
}
IGRAPH_FINALLY(free, pairs);
i=j=0;
while (!IGRAPH_EIT_END(edgeit)) {
long int eidx = IGRAPH_EIT_GET(edgeit);
igraph_edge(graph, eidx, &ffrom, &fto);
/* Create the pairs themselves */
from = (long int)ffrom; to = (long int)fto;
if (from == to) {
IGRAPH_ERROR("loop edge detected, simplify the graph before starting community detection", IGRAPH_EINVAL);
}
if (from>to) {
dummy=from; from=to; to=dummy;
}
if (weights) {
dq[j]=2*(VECTOR(*weights)[eidx]/(weight_sum*2.0) - VECTOR(a)[from]*VECTOR(a)[to]/(4.0*weight_sum*weight_sum));
} else {
dq[j]=2*(1.0/(no_of_edges*2.0) - VECTOR(a)[from]*VECTOR(a)[to]/(4.0*no_of_edges*no_of_edges));
}
pairs[i].first = from;
pairs[i].second = to;
pairs[i].dq = &dq[j];
pairs[i].opposite = &pairs[i+1];
pairs[i+1].first = to;
pairs[i+1].second = from;
pairs[i+1].dq = pairs[i].dq;
pairs[i+1].opposite = &pairs[i];
/* Link the pair to the communities */
igraph_vector_ptr_push_back(&communities.e[from].neis, &pairs[i]);
igraph_vector_ptr_push_back(&communities.e[to].neis, &pairs[i+1]);
/* Update maximums */
if (communities.e[from].maxdq==0 || *communities.e[from].maxdq->dq < *pairs[i].dq)
communities.e[from].maxdq = &pairs[i];
if (communities.e[to].maxdq==0 || *communities.e[to].maxdq->dq < *pairs[i+1].dq)
communities.e[to].maxdq = &pairs[i+1];
/* Iterate */
i+=2; j++;
IGRAPH_EIT_NEXT(edgeit);
}
igraph_eit_destroy(&edgeit);
IGRAPH_FINALLY_CLEAN(1);
/* Sorting community neighbor lists by community IDs */
debug("Sorting community neighbor lists\n");
for (i=0, j=0; i<no_of_nodes; i++) {
igraph_vector_ptr_sort(&communities.e[i].neis, igraph_i_fastgreedy_commpair_cmp);
/* Isolated vertices won't be stored in the heap (to avoid maxdq == 0) */
if (VECTOR(a)[i] > 0) {
communities.heap[j] = &communities.e[i];
communities.heapindex[i] = j;
j++;
} else {
communities.heapindex[i] = -1;
}
}
communities.no_of_communities = j;
/* Calculate proper vector a (see paper) and initial modularity */
q=0;
igraph_vector_scale(&a, 1.0/(2.0 * (weights ? weight_sum : no_of_edges)));
for (i=0; i<no_of_nodes; i++)
q -= VECTOR(a)[i]*VECTOR(a)[i];
maxq=q;
/* Initializing community heap */
debug("Initializing community heap\n");
igraph_i_fastgreedy_community_list_build_heap(&communities);
debug("Initial modularity: %.4f\n", q);
/* Let's rock ;) */
no_of_joins=0;
while (no_of_joins<total_joins) {
IGRAPH_ALLOW_INTERRUPTION();
IGRAPH_PROGRESS("fast greedy community detection", no_of_joins*100.0/total_joins, 0);
/* Store the modularity */
if (modularity) VECTOR(*modularity)[no_of_joins] = q;
/* Some debug info if needed */
/* igraph_i_fastgreedy_community_list_check_heap(&communities); */
#ifdef DEBUG
debug("===========================================\n");
for (i=0; i<communities.n; i++) {
if (communities.e[i].maxdq == 0) {
debug("Community #%ld: PASSIVE\n", i);
continue;
}
debug("Community #%ld\n ", i);
for (j=0; j<igraph_vector_ptr_size(&communities.e[i].neis); j++) {
p1=(igraph_i_fastgreedy_commpair*)VECTOR(communities.e[i].neis)[j];
debug(" (%ld,%ld,%.4f)", p1->first, p1->second, *p1->dq);
}
p1=communities.e[i].maxdq;
debug("\n Maxdq: (%ld,%ld,%.4f)\n", p1->first, p1->second, *p1->dq);
}
debug("Global maxdq is: (%ld,%ld,%.4f)\n", communities.heap[0]->maxdq->first,
communities.heap[0]->maxdq->second, *communities.heap[0]->maxdq->dq);
for (i=0; i<communities.no_of_communities; i++)
debug("(%ld,%ld,%.4f) ", communities.heap[i]->maxdq->first, communities.heap[i]->maxdq->second, *communities.heap[0]->maxdq->dq);
debug("\n");
#endif
if (communities.heap[0] == 0) break; /* no more communities */
if (communities.heap[0]->maxdq == 0) break; /* there are only isolated comms */
to=communities.heap[0]->maxdq->second;
from=communities.heap[0]->maxdq->first;
debug("Q[%ld] = %.7f\tdQ = %.7f\t |H| = %ld\n",
no_of_joins, q, *communities.heap[0]->maxdq->dq, no_of_nodes-no_of_joins-1);
/* DEBUG */
/* from=join_order[no_of_joins*2]; to=join_order[no_of_joins*2+1];
if (to == -1) break;
for (i=0; i<igraph_vector_ptr_size(&communities.e[to].neis); i++) {
p1=(igraph_i_fastgreedy_commpair*)VECTOR(communities.e[to].neis)[i];
if (p1->second == from) communities.maxdq = p1;
} */
n = igraph_vector_ptr_size(&communities.e[to].neis);
m = igraph_vector_ptr_size(&communities.e[from].neis);
/*if (n>m) {
dummy=n; n=m; m=dummy;
dummy=to; to=from; from=dummy;
}*/
debug(" joining: %ld <- %ld\n", to, from);
q += *communities.heap[0]->maxdq->dq;
/* Merge the second community into the first */
i = j = 0;
while (i<n && j<m) {
p1 = (igraph_i_fastgreedy_commpair*)VECTOR(communities.e[to].neis)[i];
p2 = (igraph_i_fastgreedy_commpair*)VECTOR(communities.e[from].neis)[j];
debug("Pairs: %ld-%ld and %ld-%ld\n", p1->first, p1->second,
p2->first, p2->second);
if (p1->second < p2->second) {
/* Considering p1 from now on */
debug(" Considering: %ld-%ld\n", p1->first, p1->second);
if (p1->second == from) {
debug(" WILL REMOVE: %ld-%ld\n", to, from);
} else {
/* chain, case 1 */
debug(" CHAIN(1): %ld-%ld %ld, now=%.7f, adding=%.7f, newdq(%ld,%ld)=%.7f\n",
to, p1->second, from, *p1->dq, -2*VECTOR(a)[from]*VECTOR(a)[p1->second], p1->first, p1->second, *p1->dq-2*VECTOR(a)[from]*VECTOR(a)[p1->second]);
igraph_i_fastgreedy_community_update_dq(&communities, p1, *p1->dq - 2*VECTOR(a)[from]*VECTOR(a)[p1->second]);
}
i++;
} else if (p1->second == p2->second) {
/* p1->first, p1->second and p2->first form a triangle */
debug(" Considering: %ld-%ld and %ld-%ld\n", p1->first, p1->second,
p2->first, p2->second);
/* Update dq value */
debug(" TRIANGLE: %ld-%ld-%ld, now=%.7f, adding=%.7f, newdq(%ld,%ld)=%.7f\n",
to, p1->second, from, *p1->dq, *p2->dq, p1->first, p1->second, *p1->dq+*p2->dq);
igraph_i_fastgreedy_community_update_dq(&communities, p1, *p1->dq + *p2->dq);
igraph_i_fastgreedy_community_remove_nei(&communities, p1->second, from);
i++;
j++;
} else {
debug(" Considering: %ld-%ld\n", p2->first, p2->second);
if (p2->second == to) {
debug(" WILL REMOVE: %ld-%ld\n", p2->second, p2->first);
} else {
/* chain, case 2 */
debug(" CHAIN(2): %ld %ld-%ld, newdq(%ld,%ld)=%.7f\n",
to, p2->second, from, to, p2->second, *p2->dq-2*VECTOR(a)[to]*VECTOR(a)[p2->second]);
p2->opposite->second=to;
/* need to re-sort community nei list `p2->second` */
/* TODO: quicksort is O(n*logn), although we could do a deletion and
* insertion which can be done in O(logn) if deletion is O(1) */
debug(" Re-sorting community %ld\n", p2->second);
igraph_vector_ptr_sort(&communities.e[p2->second].neis, igraph_i_fastgreedy_commpair_cmp);
/* link from.neis[j] to the current place in to.neis if
* from.neis[j] != to */
p2->first=to;
IGRAPH_CHECK(igraph_vector_ptr_insert(&communities.e[to].neis,i,p2));
n++; i++;
if (*p2->dq > *communities.e[to].maxdq->dq) {
communities.e[to].maxdq = p2;
k=igraph_i_fastgreedy_community_list_find_in_heap(&communities, to);
igraph_i_fastgreedy_community_list_sift_up(&communities, k);
}
igraph_i_fastgreedy_community_update_dq(&communities, p2, *p2->dq - 2*VECTOR(a)[to]*VECTOR(a)[p2->second]);
}
j++;
}
}
while (i<n) {
p1 = (igraph_i_fastgreedy_commpair*)VECTOR(communities.e[to].neis)[i];
if (p1->second == from) {
debug(" WILL REMOVE: %ld-%ld\n", p1->first, from);
} else {
/* chain, case 1 */
debug(" CHAIN(1): %ld-%ld %ld, now=%.7f, adding=%.7f, newdq(%ld,%ld)=%.7f\n",
to, p1->second, from, *p1->dq, -2*VECTOR(a)[from]*VECTOR(a)[p1->second], p1->first, p1->second, *p1->dq-2*VECTOR(a)[from]*VECTOR(a)[p1->second]);
igraph_i_fastgreedy_community_update_dq(&communities, p1, *p1->dq - 2*VECTOR(a)[from]*VECTOR(a)[p1->second]);
}
i++;
}
while (j<m) {
p2 = (igraph_i_fastgreedy_commpair*)VECTOR(communities.e[from].neis)[j];
if (to == p2->second) { j++; continue; }
/* chain, case 2 */
debug(" CHAIN(2): %ld %ld-%ld, newdq(%ld,%ld)=%.7f\n",
to, p2->second, from, p1->first, p2->second, *p2->dq-2*VECTOR(a)[to]*VECTOR(a)[p2->second]);
p2->opposite->second=to;
/* need to re-sort community nei list `p2->second` */
/* TODO: quicksort is O(n*logn), although we could do a deletion and
* insertion which can be done in O(logn) if deletion is O(1) */
debug(" Re-sorting community %ld\n", p2->second);
igraph_vector_ptr_sort(&communities.e[p2->second].neis, igraph_i_fastgreedy_commpair_cmp);
/* link from.neis[j] to the current place in to.neis if
* from.neis[j] != to */
p2->first=to;
IGRAPH_CHECK(igraph_vector_ptr_push_back(&communities.e[to].neis,p2));
if (*p2->dq > *communities.e[to].maxdq->dq) {
communities.e[to].maxdq = p2;
k=igraph_i_fastgreedy_community_list_find_in_heap(&communities, to);
igraph_i_fastgreedy_community_list_sift_up(&communities, k);
}
igraph_i_fastgreedy_community_update_dq(&communities, p2, *p2->dq-2*VECTOR(a)[to]*VECTOR(a)[p2->second]);
j++;
}
/* Now, remove community `from` from the neighbors of community `to` */
if (communities.no_of_communities > 2) {
debug(" REMOVING: %ld-%ld\n", to, from);
igraph_i_fastgreedy_community_remove_nei(&communities, to, from);
i=igraph_i_fastgreedy_community_list_find_in_heap(&communities, from);
igraph_i_fastgreedy_community_list_remove(&communities, i);
}
communities.e[from].maxdq=0;
/* Update community sizes */
communities.e[to].size += communities.e[from].size;
communities.e[from].size = 0;
/* record what has been merged */
/* igraph_vector_ptr_clear is not enough here as it won't free
* the memory consumed by communities.e[from].neis. Thanks
* to Tom Gregorovic for pointing that out. */
igraph_vector_ptr_destroy(&communities.e[from].neis);
if (merges) {
MATRIX(*merges, no_of_joins, 0) = communities.e[to].id;
MATRIX(*merges, no_of_joins, 1) = communities.e[from].id;
communities.e[to].id = no_of_nodes+no_of_joins;
}
/* Update vector a */
VECTOR(a)[to] += VECTOR(a)[from];
VECTOR(a)[from] = 0.0;
no_of_joins++;
}
/* TODO: continue merging when some isolated communities remained. Always
* joining the communities with the least number of nodes results in the
* smallest decrease in modularity every step. Now we're simply deleting
* the excess rows from the merge matrix */
if (no_of_joins < total_joins) {
long int *ivec;
ivec=igraph_Calloc(igraph_matrix_nrow(merges), long int);
if (ivec == 0)
IGRAPH_ERROR("can't run fast greedy community detection", IGRAPH_ENOMEM);
IGRAPH_FINALLY(free, ivec);
for (i=0; i<no_of_joins; i++) ivec[i] = i+1;
igraph_matrix_permdelete_rows(merges, ivec, total_joins-no_of_joins);
free(ivec);
IGRAPH_FINALLY_CLEAN(1);
}
int check_simple() {
igraph_t g;
long int nodes=100;
long int edges=1000;
igraph_real_t p=3.0/nodes;
long int runs=10;
long int r, e, ecount;
igraph_vector_t eids, pairs, path;
srand(time(0));
igraph_vector_init(&pairs, edges*2);
igraph_vector_init(&path, 0);
igraph_vector_init(&eids, 0);
for (r=0; r<runs; r++) {
igraph_erdos_renyi_game(&g, IGRAPH_ERDOS_RENYI_GNP, nodes, p,
/*directed=*/ 0, /*loops=*/ 0);
ecount=igraph_ecount(&g);
for (e=0; e<edges; e++) {
long int edge=RNG_INTEGER(0, ecount-1);
VECTOR(pairs)[2*e] = IGRAPH_FROM(&g, edge);
VECTOR(pairs)[2*e+1] = IGRAPH_TO(&g, edge);
}
igraph_get_eids(&g, &eids, &pairs, /*path=*/ 0, 0, /*error=*/ 1);
for (e=0; e<edges; e++) {
long int edge=VECTOR(eids)[e];
long int from1=VECTOR(pairs)[2*e];
long int to1=VECTOR(pairs)[2*e+1];
long int from2=IGRAPH_FROM(&g, edge);
long int to2=IGRAPH_TO(&g, edge);
long int min1= from1 < to1 ? from1 : to1;
long int max1= from1 < to1 ? to1 : from1;
long int min2= from2 < to2 ? from2 : to2;
long int max2= from2 < to2 ? to2 : from2;
if (min1 != min2 || max1 != max2) {
return 11;
}
}
igraph_diameter(&g, /*res=*/ 0, /*from=*/ 0, /*to=*/ 0, &path,
IGRAPH_UNDIRECTED, /*unconn=*/ 1);
igraph_get_eids(&g, &eids, /*pairs=*/ 0, &path, 0, /*error=*/ 1);
for (e=0; e<igraph_vector_size(&path)-1; e++) {
long int edge=VECTOR(eids)[e];
long int from1=VECTOR(path)[e];
long int to1=VECTOR(path)[e+1];
long int from2=IGRAPH_FROM(&g, edge);
long int to2=IGRAPH_TO(&g, edge);
long int min1= from1 < to1 ? from1 : to1;
long int max1= from1 < to1 ? to1 : from1;
long int min2= from2 < to2 ? from2 : to2;
long int max2= from2 < to2 ? to2 : from2;
if (min1 != min2 || max1 != max2) {
return 12;
}
}
igraph_destroy(&g);
}
igraph_vector_destroy(&path);
igraph_vector_destroy(&pairs);
igraph_vector_destroy(&eids);
return 0;
}
int igraph_layout_i_grid_fr(const igraph_t *graph,
igraph_matrix_t *res, igraph_bool_t use_seed,
igraph_integer_t niter, igraph_real_t start_temp,
const igraph_vector_t *weight, const igraph_vector_t *minx,
const igraph_vector_t *maxx, const igraph_vector_t *miny,
const igraph_vector_t *maxy) {
igraph_integer_t no_nodes=igraph_vcount(graph);
igraph_integer_t no_edges=igraph_ecount(graph);
float width=sqrtf(no_nodes), height=width;
igraph_2dgrid_t grid;
igraph_vector_float_t dispx, dispy;
igraph_real_t temp=start_temp;
igraph_real_t difftemp=start_temp / niter;
igraph_2dgrid_iterator_t vidit;
igraph_integer_t i;
const float cellsize=2.0;
RNG_BEGIN();
if (!use_seed) {
IGRAPH_CHECK(igraph_matrix_resize(res, no_nodes, 2));
for (i=0; i<no_nodes; i++) {
igraph_real_t x1=minx ? VECTOR(*minx)[i] : -width/2;
igraph_real_t x2=maxx ? VECTOR(*maxx)[i] : width/2;
igraph_real_t y1=miny ? VECTOR(*miny)[i] : -height/2;
igraph_real_t y2=maxy ? VECTOR(*maxy)[i] : height/2;
if (!igraph_finite(x1)) { x1 = -sqrt(no_nodes)/2; }
if (!igraph_finite(x2)) { x2 = sqrt(no_nodes)/2; }
if (!igraph_finite(y1)) { y1 = -sqrt(no_nodes)/2; }
if (!igraph_finite(y2)) { y2 = sqrt(no_nodes)/2; }
MATRIX(*res, i, 0) = RNG_UNIF(x1, x2);
MATRIX(*res, i, 1) = RNG_UNIF(y1, y2);
}
}
/* make grid */
IGRAPH_CHECK(igraph_2dgrid_init(&grid, res, -width/2, width/2, cellsize,
-height/2, height/2, cellsize));
IGRAPH_FINALLY(igraph_2dgrid_destroy, &grid);
/* place vertices on grid */
for (i=0; i<no_nodes; i++) {
igraph_2dgrid_add2(&grid, i);
}
IGRAPH_CHECK(igraph_vector_float_init(&dispx, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispx);
IGRAPH_CHECK(igraph_vector_float_init(&dispy, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispy);
for (i=0; i<niter; i++) {
igraph_integer_t v, u, e;
igraph_vector_float_null(&dispx);
igraph_vector_float_null(&dispy);
/* repulsion */
igraph_2dgrid_reset(&grid, &vidit);
while ( (v=igraph_2dgrid_next(&grid, &vidit)-1) != -1) {
while ( (u=igraph_2dgrid_next_nei(&grid, &vidit)-1) != -1) {
float dx=MATRIX(*res, v, 0)-MATRIX(*res, u, 0);
float dy=MATRIX(*res, v, 1)-MATRIX(*res, u, 1);
float dlen=dx * dx + dy * dy;
if (dlen < cellsize * cellsize) {
VECTOR(dispx)[v] += dx/dlen;
VECTOR(dispy)[v] += dy/dlen;
VECTOR(dispx)[u] -= dx/dlen;
VECTOR(dispy)[u] -= dy/dlen;
}
}
}
/* attraction */
for (e=0; e<no_edges; e++) {
igraph_integer_t v=IGRAPH_FROM(graph, e);
igraph_integer_t u=IGRAPH_TO(graph, e);
igraph_real_t dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
igraph_real_t dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
igraph_real_t w=weight ? VECTOR(*weight)[e] : 1.0;
igraph_real_t dlen=sqrt(dx * dx + dy * dy) * w;
VECTOR(dispx)[v] -= (dx * dlen);
VECTOR(dispy)[v] -= (dy * dlen);
VECTOR(dispx)[u] += (dx * dlen);
VECTOR(dispy)[u] += (dy * dlen);
}
/* update */
for (v=0; v<no_nodes; v++) {
igraph_real_t dx=VECTOR(dispx)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t dy=VECTOR(dispy)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t displen=sqrt(dx * dx + dy * dy);
igraph_real_t mx=fabs(dx) < temp ? dx : temp;
igraph_real_t my=fabs(dy) < temp ? dy : temp;
if (displen > 0) {
MATRIX(*res, v, 0) += (dx / displen) * mx;
MATRIX(*res, v, 1) += (dy / displen) * my;
}
if (minx && MATRIX(*res, v, 0) < VECTOR(*minx)[v]) {
MATRIX(*res, v, 0) = VECTOR(*minx)[v];
}
if (maxx && MATRIX(*res, v, 0) > VECTOR(*maxx)[v]) {
MATRIX(*res, v, 0) = VECTOR(*maxx)[v];
}
if (miny && MATRIX(*res, v, 1) < VECTOR(*miny)[v]) {
MATRIX(*res, v, 1) = VECTOR(*miny)[v];
}
if (maxy && MATRIX(*res, v, 1) > VECTOR(*maxy)[v]) {
MATRIX(*res, v, 1) = VECTOR(*maxy)[v];
}
}
temp -= difftemp;
}
igraph_vector_float_destroy(&dispx);
igraph_vector_float_destroy(&dispy);
igraph_2dgrid_destroy(&grid);
IGRAPH_FINALLY_CLEAN(3);
return 0;
}
int print_attributes(const igraph_t *g) {
igraph_vector_t gtypes, vtypes, etypes;
igraph_strvector_t gnames, vnames, enames;
long int i;
igraph_vector_t vec;
igraph_strvector_t svec;
long int j;
igraph_vector_init(>ypes, 0);
igraph_vector_init(&vtypes, 0);
igraph_vector_init(&etypes, 0);
igraph_strvector_init(&gnames, 0);
igraph_strvector_init(&vnames, 0);
igraph_strvector_init(&enames, 0);
igraph_cattribute_list(g, &gnames, >ypes, &vnames, &vtypes,
&enames, &etypes);
/* Graph attributes */
for (i=0; i<igraph_strvector_size(&gnames); i++) {
printf("%s=", STR(gnames, i));
if (VECTOR(gtypes)[i]==IGRAPH_ATTRIBUTE_NUMERIC) {
igraph_real_printf(GAN(g, STR(gnames,i)));
putchar(' ');
} else {
printf("\"%s\" ", GAS(g, STR(gnames,i)));
}
}
printf("\n");
for (i=0; i<igraph_vcount(g); i++) {
long int j;
printf("Vertex %li: ", i);
for (j=0; j<igraph_strvector_size(&vnames); j++) {
printf("%s=", STR(vnames, j));
if (VECTOR(vtypes)[j]==IGRAPH_ATTRIBUTE_NUMERIC) {
igraph_real_printf(VAN(g, STR(vnames,j), i));
putchar(' ');
} else {
printf("\"%s\" ", VAS(g, STR(vnames,j), i));
}
}
printf("\n");
}
for (i=0; i<igraph_ecount(g); i++) {
long int j;
printf("Edge %li (%i-%i): ", i, (int)IGRAPH_FROM(g,i), (int)IGRAPH_TO(g,i));
for (j=0; j<igraph_strvector_size(&enames); j++) {
printf("%s=", STR(enames, j));
if (VECTOR(etypes)[j]==IGRAPH_ATTRIBUTE_NUMERIC) {
igraph_real_printf(EAN(g, STR(enames, j), i));
putchar(' ');
} else {
printf("\"%s\" ", EAS(g, STR(enames, j), i));
}
}
printf("\n");
}
/* Check vector-based query functions */
igraph_vector_init(&vec, 0);
igraph_strvector_init(&svec, 0);
for (j=0; j<igraph_strvector_size(&vnames); j++) {
if (VECTOR(vtypes)[j]==IGRAPH_ATTRIBUTE_NUMERIC) {
igraph_cattribute_VANV(g, STR(vnames, j), igraph_vss_all(), &vec);
for (i=0; i<igraph_vcount(g); i++) {
igraph_real_t num=VAN(g, STR(vnames, j), i);
if (num != VECTOR(vec)[i] &&
(!isnan(num) || !isnan(VECTOR(vec)[i]))) {
exit(51);
}
}
} else {
igraph_cattribute_VASV(g, STR(vnames, j), igraph_vss_all(), &svec);
for (i=0; i<igraph_vcount(g); i++) {
const char *str=VAS(g, STR(vnames, j), i);
if (strcmp(str,STR(svec, i))) {
exit(52);
}
}
}
}
for (j=0; j<igraph_strvector_size(&enames); j++) {
if (VECTOR(etypes)[j]==IGRAPH_ATTRIBUTE_NUMERIC) {
igraph_cattribute_EANV(g, STR(enames, j),
igraph_ess_all(IGRAPH_EDGEORDER_ID), &vec);
for (i=0; i<igraph_ecount(g); i++) {
igraph_real_t num=EAN(g, STR(enames, j), i);
if (num != VECTOR(vec)[i] &&
(!isnan(num) || !isnan(VECTOR(vec)[i]))) {
exit(53);
}
}
} else {
igraph_cattribute_EASV(g, STR(enames, j),
igraph_ess_all(IGRAPH_EDGEORDER_ID), &svec);
for (i=0; i<igraph_ecount(g); i++) {
const char *str=EAS(g, STR(enames, j), i);
if (strcmp(str,STR(svec, i))) {
exit(54);
}
}
}
}
igraph_strvector_destroy(&svec);
igraph_vector_destroy(&vec);
igraph_strvector_destroy(&enames);
igraph_strvector_destroy(&vnames);
igraph_strvector_destroy(&gnames);
igraph_vector_destroy(&etypes);
igraph_vector_destroy(&vtypes);
igraph_vector_destroy(>ypes);
return 0;
}
int igraph_layout_fruchterman_reingold_3d(const igraph_t *graph,
igraph_matrix_t *res,
igraph_bool_t use_seed,
igraph_integer_t niter,
igraph_real_t start_temp,
const igraph_vector_t *weight,
const igraph_vector_t *minx,
const igraph_vector_t *maxx,
const igraph_vector_t *miny,
const igraph_vector_t *maxy,
const igraph_vector_t *minz,
const igraph_vector_t *maxz) {
igraph_integer_t no_nodes=igraph_vcount(graph);
igraph_integer_t no_edges=igraph_ecount(graph);
igraph_integer_t i;
igraph_vector_float_t dispx, dispy, dispz;
igraph_real_t temp=start_temp;
igraph_real_t difftemp=start_temp / niter;
float width=sqrtf(no_nodes), height=width, depth=width;
igraph_bool_t conn=1;
float C;
if (niter < 0) {
IGRAPH_ERROR("Number of iterations must be non-negative in "
"Fruchterman-Reingold layout", IGRAPH_EINVAL);
}
if (use_seed && (igraph_matrix_nrow(res) != no_nodes ||
igraph_matrix_ncol(res) != 3)) {
IGRAPH_ERROR("Invalid start position matrix size in "
"Fruchterman-Reingold layout", IGRAPH_EINVAL);
}
if (weight && igraph_vector_size(weight) != igraph_ecount(graph)) {
IGRAPH_ERROR("Invalid weight vector length", IGRAPH_EINVAL);
}
if (minx && igraph_vector_size(minx) != no_nodes) {
IGRAPH_ERROR("Invalid minx vector length", IGRAPH_EINVAL);
}
if (maxx && igraph_vector_size(maxx) != no_nodes) {
IGRAPH_ERROR("Invalid maxx vector length", IGRAPH_EINVAL);
}
if (minx && maxx && !igraph_vector_all_le(minx, maxx)) {
IGRAPH_ERROR("minx must not be greater than maxx", IGRAPH_EINVAL);
}
if (miny && igraph_vector_size(miny) != no_nodes) {
IGRAPH_ERROR("Invalid miny vector length", IGRAPH_EINVAL);
}
if (maxy && igraph_vector_size(maxy) != no_nodes) {
IGRAPH_ERROR("Invalid maxy vector length", IGRAPH_EINVAL);
}
if (miny && maxy && !igraph_vector_all_le(miny, maxy)) {
IGRAPH_ERROR("miny must not be greater than maxy", IGRAPH_EINVAL);
}
if (minz && igraph_vector_size(minz) != no_nodes) {
IGRAPH_ERROR("Invalid minz vector length", IGRAPH_EINVAL);
}
if (maxz && igraph_vector_size(maxz) != no_nodes) {
IGRAPH_ERROR("Invalid maxz vector length", IGRAPH_EINVAL);
}
if (minz && maxz && !igraph_vector_all_le(minz, maxz)) {
IGRAPH_ERROR("minz must not be greater than maxz", IGRAPH_EINVAL);
}
igraph_is_connected(graph, &conn, IGRAPH_WEAK);
if (!conn) { C = no_nodes * sqrtf(no_nodes); }
RNG_BEGIN();
if (!use_seed) {
IGRAPH_CHECK(igraph_matrix_resize(res, no_nodes, 3));
for (i=0; i<no_nodes; i++) {
igraph_real_t x1=minx ? VECTOR(*minx)[i] : -width/2;
igraph_real_t x2=maxx ? VECTOR(*maxx)[i] : width/2;
igraph_real_t y1=miny ? VECTOR(*miny)[i] : -height/2;
igraph_real_t y2=maxy ? VECTOR(*maxy)[i] : height/2;
igraph_real_t z1=minz ? VECTOR(*minz)[i] : -depth/2;
igraph_real_t z2=maxz ? VECTOR(*maxz)[i] : depth/2;
MATRIX(*res, i, 0) = RNG_UNIF(x1, x2);
MATRIX(*res, i, 1) = RNG_UNIF(y1, y2);
MATRIX(*res, i, 2) = RNG_UNIF(z1, z2);
}
}
IGRAPH_CHECK(igraph_vector_float_init(&dispx, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispx);
IGRAPH_CHECK(igraph_vector_float_init(&dispy, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispy);
IGRAPH_CHECK(igraph_vector_float_init(&dispz, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispz);
for (i=0; i<niter; i++) {
igraph_integer_t v, u, e;
/* calculate repulsive forces, we have a special version
for unconnected graphs */
igraph_vector_float_null(&dispx);
igraph_vector_float_null(&dispy);
igraph_vector_float_null(&dispz);
if (conn) {
for (v=0; v<no_nodes; v++) {
for (u=v+1; u<no_nodes; u++) {
float dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
float dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
float dz=MATRIX(*res, v, 2) - MATRIX(*res, u, 2);
float dlen=dx * dx + dy * dy + dz * dz;
if (dlen == 0) {
dx = RNG_UNIF01() * 1e-9;
dy = RNG_UNIF01() * 1e-9;
dz = RNG_UNIF01() * 1e-9;
dlen = dx * dx + dy * dy + dz * dz;
}
VECTOR(dispx)[v] += dx/dlen;
VECTOR(dispy)[v] += dy/dlen;
VECTOR(dispz)[v] += dz/dlen;
VECTOR(dispx)[u] -= dx/dlen;
VECTOR(dispy)[u] -= dy/dlen;
VECTOR(dispz)[u] -= dz/dlen;
}
}
} else {
for (v=0; v<no_nodes; v++) {
for (u=v+1; u<no_nodes; u++) {
float dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
float dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
float dz=MATRIX(*res, v, 2) - MATRIX(*res, u, 2);
float dlen, rdlen;
dlen=dx * dx + dy * dy + dz * dz;
if (dlen == 0) {
dx = RNG_UNIF01() * 1e-9;
dy = RNG_UNIF01() * 1e-9;
dz = RNG_UNIF01() * 1e-9;
dlen = dx * dx + dy * dy + dz * dz;
}
rdlen=sqrt(dlen);
VECTOR(dispx)[v] += dx * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispy)[v] += dy * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispy)[v] += dz * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispx)[u] -= dx * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispy)[u] -= dy * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispz)[u] -= dz * (C-dlen * rdlen) / (dlen*C);
}
}
}
/* calculate attractive forces */
for (e=0; e<no_edges; e++) {
/* each edges is an ordered pair of vertices v and u */
igraph_integer_t v=IGRAPH_FROM(graph, e);
igraph_integer_t u=IGRAPH_TO(graph, e);
igraph_real_t dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
igraph_real_t dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
igraph_real_t dz=MATRIX(*res, v, 2) - MATRIX(*res, u, 2);
igraph_real_t w=weight ? VECTOR(*weight)[e] : 1.0;
igraph_real_t dlen=sqrt(dx * dx + dy * dy + dz * dz) * w;
VECTOR(dispx)[v] -= (dx * dlen);
VECTOR(dispy)[v] -= (dy * dlen);
VECTOR(dispz)[v] -= (dz * dlen);
VECTOR(dispx)[u] += (dx * dlen);
VECTOR(dispy)[u] += (dy * dlen);
VECTOR(dispz)[u] += (dz * dlen);
}
/* limit max displacement to temperature t and prevent from
displacement outside frame */
for (v=0; v<no_nodes; v++) {
igraph_real_t dx=VECTOR(dispx)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t dy=VECTOR(dispy)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t dz=VECTOR(dispz)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t displen=sqrt(dx * dx + dy * dy + dz * dz);
igraph_real_t mx=fabs(dx) < temp ? dx : temp;
igraph_real_t my=fabs(dy) < temp ? dy : temp;
igraph_real_t mz=fabs(dz) < temp ? dz : temp;
if (displen > 0) {
MATRIX(*res, v, 0) += (dx / displen) * mx;
MATRIX(*res, v, 1) += (dy / displen) * my;
MATRIX(*res, v, 2) += (dz / displen) * mz;
}
if (minx && MATRIX(*res, v, 0) < VECTOR(*minx)[v]) {
MATRIX(*res, v, 0) = VECTOR(*minx)[v];
}
if (maxx && MATRIX(*res, v, 0) > VECTOR(*maxx)[v]) {
MATRIX(*res, v, 0) = VECTOR(*maxx)[v];
}
if (miny && MATRIX(*res, v, 1) < VECTOR(*miny)[v]) {
MATRIX(*res, v, 1) = VECTOR(*miny)[v];
}
if (maxy && MATRIX(*res, v, 1) > VECTOR(*maxy)[v]) {
MATRIX(*res, v, 1) = VECTOR(*maxy)[v];
}
if (minz && MATRIX(*res, v, 2) < VECTOR(*minz)[v]) {
MATRIX(*res, v, 2) = VECTOR(*minz)[v];
}
if (maxz && MATRIX(*res, v, 2) > VECTOR(*maxz)[v]) {
MATRIX(*res, v, 2) = VECTOR(*maxz)[v];
}
}
temp -= difftemp;
}
RNG_END();
igraph_vector_float_destroy(&dispx);
igraph_vector_float_destroy(&dispy);
igraph_vector_float_destroy(&dispz);
IGRAPH_FINALLY_CLEAN(3);
return 0;
}
int igraph_layout_i_fr(const igraph_t *graph,
igraph_matrix_t *res,
igraph_bool_t use_seed,
igraph_integer_t niter,
igraph_real_t start_temp,
const igraph_vector_t *weight,
const igraph_vector_t *minx,
const igraph_vector_t *maxx,
const igraph_vector_t *miny,
const igraph_vector_t *maxy) {
igraph_integer_t no_nodes=igraph_vcount(graph);
igraph_integer_t no_edges=igraph_ecount(graph);
igraph_integer_t i;
igraph_vector_float_t dispx, dispy;
igraph_real_t temp=start_temp;
igraph_real_t difftemp=start_temp / niter;
float width=sqrtf(no_nodes), height=width;
igraph_bool_t conn=1;
float C;
igraph_is_connected(graph, &conn, IGRAPH_WEAK);
if (!conn) { C = no_nodes * sqrtf(no_nodes); }
RNG_BEGIN();
if (!use_seed) {
IGRAPH_CHECK(igraph_matrix_resize(res, no_nodes, 2));
for (i=0; i<no_nodes; i++) {
igraph_real_t x1=minx ? VECTOR(*minx)[i] : -width/2;
igraph_real_t x2=maxx ? VECTOR(*maxx)[i] : width/2;
igraph_real_t y1=miny ? VECTOR(*miny)[i] : -height/2;
igraph_real_t y2=maxy ? VECTOR(*maxy)[i] : height/2;
if (!igraph_finite(x1)) { x1 = -sqrt(no_nodes)/2; }
if (!igraph_finite(x2)) { x2 = sqrt(no_nodes)/2; }
if (!igraph_finite(y1)) { y1 = -sqrt(no_nodes)/2; }
if (!igraph_finite(y2)) { y2 = sqrt(no_nodes)/2; }
MATRIX(*res, i, 0) = RNG_UNIF(x1, x2);
MATRIX(*res, i, 1) = RNG_UNIF(y1, y2);
}
}
IGRAPH_CHECK(igraph_vector_float_init(&dispx, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispx);
IGRAPH_CHECK(igraph_vector_float_init(&dispy, no_nodes));
IGRAPH_FINALLY(igraph_vector_float_destroy, &dispy);
for (i=0; i<niter; i++) {
igraph_integer_t v, u, e;
/* calculate repulsive forces, we have a special version
for unconnected graphs */
igraph_vector_float_null(&dispx);
igraph_vector_float_null(&dispy);
if (conn) {
for (v=0; v<no_nodes; v++) {
for (u=v+1; u<no_nodes; u++) {
float dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
float dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
float dlen=dx * dx + dy * dy;
if (dlen == 0) {
dx = RNG_UNIF01() * 1e-9;
dy = RNG_UNIF01() * 1e-9;
dlen = dx * dx + dy * dy;
}
VECTOR(dispx)[v] += dx/dlen;
VECTOR(dispy)[v] += dy/dlen;
VECTOR(dispx)[u] -= dx/dlen;
VECTOR(dispy)[u] -= dy/dlen;
}
}
} else {
for (v=0; v<no_nodes; v++) {
for (u=v+1; u<no_nodes; u++) {
float dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
float dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
float dlen, rdlen;
dlen=dx * dx + dy * dy;
if (dlen == 0) {
dx = RNG_UNIF(0, 1e-6);
dy = RNG_UNIF(0, 1e-6);
dlen = dx * dx + dy * dy;
}
rdlen=sqrt(dlen);
VECTOR(dispx)[v] += dx * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispy)[v] += dy * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispx)[u] -= dx * (C-dlen * rdlen) / (dlen*C);
VECTOR(dispy)[u] -= dy * (C-dlen * rdlen) / (dlen*C);
}
}
}
/* calculate attractive forces */
for (e=0; e<no_edges; e++) {
/* each edges is an ordered pair of vertices v and u */
igraph_integer_t v=IGRAPH_FROM(graph, e);
igraph_integer_t u=IGRAPH_TO(graph, e);
igraph_real_t dx=MATRIX(*res, v, 0) - MATRIX(*res, u, 0);
igraph_real_t dy=MATRIX(*res, v, 1) - MATRIX(*res, u, 1);
igraph_real_t w=weight ? VECTOR(*weight)[e] : 1.0;
igraph_real_t dlen=sqrt(dx * dx + dy * dy) * w;
VECTOR(dispx)[v] -= (dx * dlen);
VECTOR(dispy)[v] -= (dy * dlen);
VECTOR(dispx)[u] += (dx * dlen);
VECTOR(dispy)[u] += (dy * dlen);
}
/* limit max displacement to temperature t and prevent from
displacement outside frame */
for (v=0; v<no_nodes; v++) {
igraph_real_t dx=VECTOR(dispx)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t dy=VECTOR(dispy)[v] + RNG_UNIF01() * 1e-9;
igraph_real_t displen=sqrt(dx * dx + dy * dy);
igraph_real_t mx=fabs(dx) < temp ? dx : temp;
igraph_real_t my=fabs(dy) < temp ? dy : temp;
if (displen > 0) {
MATRIX(*res, v, 0) += (dx / displen) * mx;
MATRIX(*res, v, 1) += (dy / displen) * my;
}
if (minx && MATRIX(*res, v, 0) < VECTOR(*minx)[v]) {
MATRIX(*res, v, 0) = VECTOR(*minx)[v];
}
if (maxx && MATRIX(*res, v, 0) > VECTOR(*maxx)[v]) {
MATRIX(*res, v, 0) = VECTOR(*maxx)[v];
}
if (miny && MATRIX(*res, v, 1) < VECTOR(*miny)[v]) {
MATRIX(*res, v, 1) = VECTOR(*miny)[v];
}
if (maxy && MATRIX(*res, v, 1) > VECTOR(*maxy)[v]) {
MATRIX(*res, v, 1) = VECTOR(*maxy)[v];
}
}
temp -= difftemp;
}
RNG_END();
igraph_vector_float_destroy(&dispx);
igraph_vector_float_destroy(&dispy);
IGRAPH_FINALLY_CLEAN(2);
return 0;
}
integer_t Edge::source() {
return IGRAPH_FROM(m_pGraph->c_graph(), m_index);
}
int igraph_get_incidence(const igraph_t *graph,
const igraph_vector_bool_t *types,
igraph_matrix_t *res,
igraph_vector_t *row_ids,
igraph_vector_t *col_ids) {
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
long int n1=0, n2=0, i;
igraph_vector_t perm;
long int p1, p2;
if (igraph_vector_bool_size(types) != no_of_nodes) {
IGRAPH_ERROR("Invalid vertex type vector for bipartite graph",
IGRAPH_EINVAL);
}
for (i=0; i<no_of_nodes; i++) {
n1 += VECTOR(*types)[i] == 0 ? 1 : 0;
}
n2 = no_of_nodes-n1;
IGRAPH_VECTOR_INIT_FINALLY(&perm, no_of_nodes);
for (i=0, p1=0, p2=n1; i<no_of_nodes; i++) {
VECTOR(perm)[i] = VECTOR(*types)[i] ? p2++ : p1++;
}
IGRAPH_CHECK(igraph_matrix_resize(res, n1, n2));
igraph_matrix_null(res);
for (i=0; i<no_of_edges; i++) {
long int from=IGRAPH_FROM(graph, i);
long int to=IGRAPH_TO(graph, i);
long int from2=(long int) VECTOR(perm)[from];
long int to2=(long int) VECTOR(perm)[to];
if (! VECTOR(*types)[from]) {
MATRIX(*res, from2, to2-n1) += 1;
} else {
MATRIX(*res, to2, from2-n1) += 1;
}
}
if (row_ids) {
IGRAPH_CHECK(igraph_vector_resize(row_ids, n1));
}
if (col_ids) {
IGRAPH_CHECK(igraph_vector_resize(col_ids, n2));
}
if (row_ids || col_ids) {
for (i=0; i<no_of_nodes; i++) {
if (! VECTOR(*types)[i]) {
if (row_ids) {
long int i2=(long int) VECTOR(perm)[i];
VECTOR(*row_ids)[i2] = i;
}
} else {
if (col_ids) {
long int i2=(long int) VECTOR(perm)[i];
VECTOR(*col_ids)[i2-n1] = i;
}
}
}
}
igraph_vector_destroy(&perm);
IGRAPH_FINALLY_CLEAN(1);
return 0;
}
int igraph_biconnected_components(const igraph_t *graph,
igraph_integer_t *no,
igraph_vector_ptr_t *tree_edges,
igraph_vector_ptr_t *component_edges,
igraph_vector_ptr_t *components,
igraph_vector_t *articulation_points) {
long int no_of_nodes=igraph_vcount(graph);
igraph_vector_long_t nextptr;
igraph_vector_long_t num, low;
igraph_vector_bool_t found;
igraph_vector_int_t *adjedges;
igraph_stack_t path;
igraph_vector_t edgestack;
igraph_inclist_t inclist;
long int i, counter, rootdfs=0;
igraph_vector_long_t vertex_added;
long int comps=0;
igraph_vector_ptr_t *mycomponents=components, vcomponents;
IGRAPH_CHECK(igraph_vector_long_init(&nextptr, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &nextptr);
IGRAPH_CHECK(igraph_vector_long_init(&num, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &num);
IGRAPH_CHECK(igraph_vector_long_init(&low, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &low);
IGRAPH_CHECK(igraph_vector_bool_init(&found, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_bool_destroy, &found);
IGRAPH_CHECK(igraph_stack_init(&path, 100));
IGRAPH_FINALLY(igraph_stack_destroy, &path);
IGRAPH_VECTOR_INIT_FINALLY(&edgestack, 0);
IGRAPH_CHECK(igraph_vector_reserve(&edgestack, 100));
IGRAPH_CHECK(igraph_inclist_init(graph, &inclist, IGRAPH_ALL));
IGRAPH_FINALLY(igraph_inclist_destroy, &inclist);
IGRAPH_CHECK(igraph_vector_long_init(&vertex_added, no_of_nodes));
IGRAPH_FINALLY(igraph_vector_long_destroy, &vertex_added);
if (no) {
*no=0;
}
if (tree_edges) {
igraph_vector_ptr_clear(tree_edges);
}
if (components) {
igraph_vector_ptr_clear(components);
}
if (component_edges) {
igraph_vector_ptr_clear(component_edges);
}
if (articulation_points) {
igraph_vector_clear(articulation_points);
}
if (component_edges && !components) {
mycomponents=&vcomponents;
IGRAPH_CHECK(igraph_vector_ptr_init(mycomponents, 0));
IGRAPH_FINALLY(igraph_i_free_vectorlist, mycomponents);
}
for (i=0; i<no_of_nodes; i++) {
if (VECTOR(low)[i] != 0) { continue; } /* already visited */
IGRAPH_ALLOW_INTERRUPTION();
IGRAPH_CHECK(igraph_stack_push(&path, i));
counter=1;
rootdfs=0;
VECTOR(low)[i]=VECTOR(num)[i]=counter++;
while (!igraph_stack_empty(&path)) {
long int n;
long int act=(long int) igraph_stack_top(&path);
long int actnext=VECTOR(nextptr)[act];
adjedges=igraph_inclist_get(&inclist, act);
n=igraph_vector_int_size(adjedges);
if (actnext < n) {
/* Step down (maybe) */
long int edge=(long int) VECTOR(*adjedges)[actnext];
long int nei=IGRAPH_OTHER(graph, edge, act);
if (VECTOR(low)[nei] == 0) {
if (act==i) { rootdfs++; }
IGRAPH_CHECK(igraph_vector_push_back(&edgestack, edge));
IGRAPH_CHECK(igraph_stack_push(&path, nei));
VECTOR(low)[nei] = VECTOR(num)[nei]=counter++;
} else {
/* Update low value if needed */
if (VECTOR(num)[nei] < VECTOR(low)[act]) {
VECTOR(low)[act]=VECTOR(num)[nei];
}
}
VECTOR(nextptr)[act] += 1;
} else {
/* Step up */
igraph_stack_pop(&path);
if (!igraph_stack_empty(&path)) {
long int prev=(long int) igraph_stack_top(&path);
/* Update LOW value if needed */
if (VECTOR(low)[act] < VECTOR(low)[prev]) {
VECTOR(low)[prev] = VECTOR(low)[act];
}
/* Check for articulation point */
if (VECTOR(low)[act] >= VECTOR(num)[prev]) {
if (articulation_points && !VECTOR(found)[prev]
&& prev != i /* the root */) {
IGRAPH_CHECK(igraph_vector_push_back(articulation_points, prev));
VECTOR(found)[prev] = 1;
}
if (no) { *no += 1; }
/*------------------------------------*/
/* Record the biconnected component just found */
if (tree_edges || mycomponents) {
igraph_vector_t *v = 0, *v2 = 0;
comps++;
if (tree_edges) {
v=igraph_Calloc(1, igraph_vector_t);
if (!v) { IGRAPH_ERROR("Out of memory", IGRAPH_ENOMEM); }
IGRAPH_CHECK(igraph_vector_init(v, 0));
IGRAPH_FINALLY(igraph_vector_destroy, v);
}
if (mycomponents) {
v2=igraph_Calloc(1, igraph_vector_t);
if (!v2) { IGRAPH_ERROR("Out of memory", IGRAPH_ENOMEM); }
IGRAPH_CHECK(igraph_vector_init(v2, 0));
IGRAPH_FINALLY(igraph_vector_destroy, v2);
}
while (!igraph_vector_empty(&edgestack)) {
long int e=(long int) igraph_vector_pop_back(&edgestack);
long int from=IGRAPH_FROM(graph,e);
long int to=IGRAPH_TO(graph,e);
if (tree_edges) {
IGRAPH_CHECK(igraph_vector_push_back(v, e));
}
if (mycomponents) {
if (VECTOR(vertex_added)[from] != comps) {
VECTOR(vertex_added)[from] = comps;
IGRAPH_CHECK(igraph_vector_push_back(v2, from));
}
if (VECTOR(vertex_added)[to] != comps) {
VECTOR(vertex_added)[to] = comps;
IGRAPH_CHECK(igraph_vector_push_back(v2, to));
}
}
if (from==prev || to==prev) {
break;
}
}
if (mycomponents) {
IGRAPH_CHECK(igraph_vector_ptr_push_back(mycomponents, v2));
IGRAPH_FINALLY_CLEAN(1);
}
if (tree_edges) {
IGRAPH_CHECK(igraph_vector_ptr_push_back(tree_edges, v));
IGRAPH_FINALLY_CLEAN(1);
}
if (component_edges) {
igraph_vector_t *nodes=VECTOR(*mycomponents)[comps-1];
igraph_vector_t *vv=igraph_Calloc(1, igraph_vector_t);
long int ii, no_vert=igraph_vector_size(nodes);
if (!vv) { IGRAPH_ERROR("Out of memory", IGRAPH_ENOMEM); }
IGRAPH_CHECK(igraph_vector_init(vv, 0));
IGRAPH_FINALLY(igraph_vector_destroy, vv);
for (ii=0; ii<no_vert; ii++) {
long int vert=(long int) VECTOR(*nodes)[ii];
igraph_vector_int_t *edges=igraph_inclist_get(&inclist,
vert);
long int j, nn=igraph_vector_int_size(edges);
for (j=0; j<nn; j++) {
long int e=(long int) VECTOR(*edges)[j];
long int nei=IGRAPH_OTHER(graph, e, vert);
if (VECTOR(vertex_added)[nei] == comps && nei<vert) {
IGRAPH_CHECK(igraph_vector_push_back(vv, e));
}
}
}
IGRAPH_CHECK(igraph_vector_ptr_push_back(component_edges, vv));
IGRAPH_FINALLY_CLEAN(1);
}
} /* record component if requested */
/*------------------------------------*/
}
} /* !igraph_stack_empty(&path) */
}
} /* !igraph_stack_empty(&path) */
if (articulation_points && rootdfs >= 2) {
IGRAPH_CHECK(igraph_vector_push_back(articulation_points, i));
}
} /* i < no_of_nodes */
if (mycomponents != components) {
igraph_i_free_vectorlist(mycomponents);
IGRAPH_FINALLY_CLEAN(1);
}
igraph_vector_long_destroy(&vertex_added);
igraph_inclist_destroy(&inclist);
igraph_vector_destroy(&edgestack);
igraph_stack_destroy(&path);
igraph_vector_bool_destroy(&found);
igraph_vector_long_destroy(&low);
igraph_vector_long_destroy(&num);
igraph_vector_long_destroy(&nextptr);
IGRAPH_FINALLY_CLEAN(8);
return 0;
}
int igraph_pagerank(const igraph_t *graph, igraph_vector_t *vector,
igraph_real_t *value, const igraph_vs_t vids,
igraph_bool_t directed, igraph_real_t damping,
const igraph_vector_t *weights,
igraph_arpack_options_t *options) {
igraph_matrix_t values;
igraph_matrix_t vectors;
igraph_integer_t dirmode;
igraph_vector_t outdegree;
igraph_vector_t tmp;
long int i;
long int no_of_nodes=igraph_vcount(graph);
long int no_of_edges=igraph_ecount(graph);
options->n = igraph_vcount(graph);
options->nev = 1;
options->ncv = 3;
options->which[0]='L'; options->which[1]='M';
options->start=1; /* no random start vector */
directed = directed && igraph_is_directed(graph);
if (weights && igraph_vector_size(weights) != igraph_ecount(graph))
{
IGRAPH_ERROR("Invalid length of weights vector when calculating "
"PageRank scores", IGRAPH_EINVAL);
}
IGRAPH_MATRIX_INIT_FINALLY(&values, 0, 0);
IGRAPH_MATRIX_INIT_FINALLY(&vectors, options->n, 1);
if (directed) { dirmode=IGRAPH_IN; } else { dirmode=IGRAPH_ALL; }
IGRAPH_VECTOR_INIT_FINALLY(&outdegree, options->n);
IGRAPH_VECTOR_INIT_FINALLY(&tmp, options->n);
RNG_BEGIN();
if (!weights) {
igraph_adjlist_t adjlist;
igraph_i_pagerank_data_t data = { graph, &adjlist, damping,
&outdegree, &tmp };
IGRAPH_CHECK(igraph_degree(graph, &outdegree, igraph_vss_all(),
directed ? IGRAPH_OUT : IGRAPH_ALL, /*loops=*/ 0));
/* Avoid division by zero */
for (i=0; i<options->n; i++) {
if (VECTOR(outdegree)[i]==0) {
VECTOR(outdegree)[i]=1;
}
MATRIX(vectors, i, 0) = VECTOR(outdegree)[i];
}
IGRAPH_CHECK(igraph_adjlist_init(graph, &adjlist, dirmode));
IGRAPH_FINALLY(igraph_adjlist_destroy, &adjlist);
IGRAPH_CHECK(igraph_arpack_rnsolve(igraph_i_pagerank,
&data, options, 0, &values, &vectors));
igraph_adjlist_destroy(&adjlist);
IGRAPH_FINALLY_CLEAN(1);
} else {
igraph_adjedgelist_t adjedgelist;
igraph_i_pagerank_data2_t data = { graph, &adjedgelist, weights,
damping, &outdegree, &tmp };
IGRAPH_CHECK(igraph_adjedgelist_init(graph, &adjedgelist, dirmode));
IGRAPH_FINALLY(igraph_adjedgelist_destroy, &adjedgelist);
/* Weighted degree */
for (i=0; i<no_of_edges; i++) {
long int from=IGRAPH_FROM(graph, i);
long int to=IGRAPH_TO(graph, i);
igraph_real_t weight=VECTOR(*weights)[i];
VECTOR(outdegree)[from] += weight;
if (!directed) {
VECTOR(outdegree)[to] += weight;
}
}
/* Avoid division by zero */
for (i=0; i<options->n; i++) {
if (VECTOR(outdegree)[i]==0) {
VECTOR(outdegree)[i]=1;
}
MATRIX(vectors, i, 0) = VECTOR(outdegree)[i];
}
IGRAPH_CHECK(igraph_arpack_rnsolve(igraph_i_pagerank2,
&data, options, 0, &values, &vectors));
igraph_adjedgelist_destroy(&adjedgelist);
IGRAPH_FINALLY_CLEAN(1);
}
RNG_END();
igraph_vector_destroy(&tmp);
igraph_vector_destroy(&outdegree);
IGRAPH_FINALLY_CLEAN(2);
if (value) {
*value=MATRIX(values, 0, 0);
}
if (vector) {
long int i;
igraph_vit_t vit;
long int nodes_to_calc;
igraph_real_t sum=0;
for (i=0; i<no_of_nodes; i++) {
sum += MATRIX(vectors, i, 0);
}
IGRAPH_CHECK(igraph_vit_create(graph, vids, &vit));
IGRAPH_FINALLY(igraph_vit_destroy, &vit);
nodes_to_calc=IGRAPH_VIT_SIZE(vit);
IGRAPH_CHECK(igraph_vector_resize(vector, nodes_to_calc));
for (IGRAPH_VIT_RESET(vit), i=0; !IGRAPH_VIT_END(vit);
IGRAPH_VIT_NEXT(vit), i++) {
VECTOR(*vector)[i] = MATRIX(vectors, (long int)IGRAPH_VIT_GET(vit), 0);
VECTOR(*vector)[i] /= sum;
}
igraph_vit_destroy(&vit);
IGRAPH_FINALLY_CLEAN(1);
}
if (options->info) {
IGRAPH_WARNING("Non-zero return code from ARPACK routine!");
}
igraph_matrix_destroy(&vectors);
igraph_matrix_destroy(&values);
IGRAPH_FINALLY_CLEAN(2);
return 0;
}
