Add graph references
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/*
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igraph library.
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Copyright (C) 2010-2012 Gabor Csardi <csardi.gabor@gmail.com>
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334 Harvard st, Cambridge MA, 02139 USA
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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02110-1301 USA
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*/
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#include <igraph.h>
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#include "test_utilities.h"
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/* Check vector equality with tolerances. Consider NaN values equal. */
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igraph_bool_t vector_eq(const igraph_vector_t *a, const igraph_vector_t *b) {
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igraph_int_t na = igraph_vector_size(a);
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igraph_int_t nb = igraph_vector_size(b);
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if (na != nb) {
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return false;
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}
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for (igraph_int_t i=0; i < na; i++) {
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if (isnan(VECTOR(*a)[i]) && isnan(VECTOR(*b)[i])) {
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continue;
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}
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if (! igraph_almost_equals(VECTOR(*a)[i], VECTOR(*b)[i], 1e-12)) {
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return false;
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}
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}
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return true;
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}
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/* Compare results from igraph_avg_nearest_neighbor_degree() and igraph_degree_correlation_vector() */
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void compare_implementations(const igraph_t *g, igraph_neimode_t mode1, igraph_neimode_t mode2, const igraph_vector_t *weights) {
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igraph_vector_t knn, knnk1, knnk2;
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igraph_vector_init(&knn, 0);
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igraph_vector_init(&knnk1, 0);
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igraph_vector_init(&knnk2, 0);
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igraph_avg_nearest_neighbor_degree(g, igraph_vss_all(),
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mode1, mode2,
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&knn, &knnk1, weights);
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printf("k_nn_i: ");
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print_vector(&knn);
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igraph_degree_correlation_vector(g, weights, &knnk2, mode1, mode2, mode1 == IGRAPH_ALL ? false : true);
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printf("k_nn(k): ");
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print_vector(&knnk2);
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/* print_vector(&knnk1); */
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IGRAPH_ASSERT(isnan(VECTOR(knnk2)[0]));
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igraph_vector_remove(&knnk2, 0);
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IGRAPH_ASSERT(vector_eq(&knnk1, &knnk2));
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igraph_vector_destroy(&knnk2);
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igraph_vector_destroy(&knnk1);
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igraph_vector_destroy(&knn);
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printf("\n");
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}
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/* Check that undirected graphs are treated as a directed ones with all-reciprocal edges.
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* This helps verify non-simple graphs, especially those with self-loops. */
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void check_dir_undir_equiv(const igraph_t *ug) {
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igraph_t rg;
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igraph_vector_t knn1, knn2, knnk1, knnk2;
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igraph_vector_init(&knn1, 0);
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igraph_vector_init(&knn2, 0);
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igraph_vector_init(&knnk1, 0);
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igraph_vector_init(&knnk2, 0);
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igraph_copy(&rg, ug);
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igraph_to_directed(&rg, IGRAPH_TO_DIRECTED_MUTUAL);
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igraph_avg_nearest_neighbor_degree(ug, igraph_vss_all(), IGRAPH_ALL, IGRAPH_ALL, &knn1, &knnk1, NULL);
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igraph_avg_nearest_neighbor_degree(&rg, igraph_vss_all(), IGRAPH_OUT, IGRAPH_OUT, &knn2, &knnk2, NULL);
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IGRAPH_ASSERT(vector_eq(&knn1, &knn2));
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IGRAPH_ASSERT(vector_eq(&knnk1, &knnk2));
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igraph_avg_nearest_neighbor_degree(&rg, igraph_vss_all(), IGRAPH_IN, IGRAPH_IN, &knn2, &knnk2, NULL);
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IGRAPH_ASSERT(vector_eq(&knn1, &knn2));
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IGRAPH_ASSERT(vector_eq(&knnk1, &knnk2));
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igraph_vector_null(&knnk1);
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igraph_vector_null(&knnk2);
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igraph_degree_correlation_vector(ug, NULL, &knnk1, IGRAPH_ALL, IGRAPH_ALL, false);
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igraph_degree_correlation_vector(&rg, NULL, &knnk2, IGRAPH_OUT, IGRAPH_OUT, false);
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IGRAPH_ASSERT(vector_eq(&knnk1, &knnk2));
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igraph_destroy(&rg);
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igraph_vector_destroy(&knnk2);
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igraph_vector_destroy(&knnk1);
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igraph_vector_destroy(&knn2);
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igraph_vector_destroy(&knn1);
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}
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int main(void) {
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igraph_t ug, dg, g;
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igraph_vector_t uweights, dweights;
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igraph_small(&ug, 10, IGRAPH_UNDIRECTED,
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0, 4, 1, 1, 1, 2, 1, 2, 1, 8, 2, 3, 2, 6, 3,
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5, 3, 6, 3, 7, 4, 7, 7, 8, 7, 8, 7, 8, 6, 6,
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-1);
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igraph_vector_init_range(&uweights, 0, igraph_ecount(&ug));
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igraph_vector_scale(&uweights, 1.0/8);
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igraph_small(&dg, 6, IGRAPH_DIRECTED,
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0, 0, 0, 1, 0, 2, 1, 0, 1, 3, 1, 4, 2, 0, 2,
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3, 3, 2, 3, 3, 4, 2, 4, 3, 0, 1, 1, 3, 1, 3,
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-1);
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igraph_vector_init_range(&dweights, 0, igraph_ecount(&dg));
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igraph_vector_scale(&dweights, 1.0/8);
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printf("UNWEIGHTED\n\n");
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printf("Undirected\n");
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compare_implementations(&ug, IGRAPH_ALL, IGRAPH_ALL, NULL);
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printf("Directed treated as undirected\n");
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compare_implementations(&dg, IGRAPH_ALL, IGRAPH_ALL, NULL);
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printf("Directed: out, all\n");
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compare_implementations(&dg, IGRAPH_OUT, IGRAPH_ALL, NULL);
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printf("Directed: out, in\n");
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compare_implementations(&dg, IGRAPH_OUT, IGRAPH_IN, NULL);
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printf("Directed: out, out\n");
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compare_implementations(&dg, IGRAPH_OUT, IGRAPH_OUT, NULL);
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printf("\nWEIGHTED\n\n");
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printf("Undirected\n");
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compare_implementations(&ug, IGRAPH_ALL, IGRAPH_ALL, &uweights);
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printf("Directed treated as undirected\n");
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compare_implementations(&dg, IGRAPH_ALL, IGRAPH_ALL, &dweights);
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printf("Directed: out, all\n");
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compare_implementations(&dg, IGRAPH_OUT, IGRAPH_ALL, &dweights);
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printf("Directed: out, in\n");
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compare_implementations(&dg, IGRAPH_OUT, IGRAPH_IN, &dweights);
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printf("Directed: out, out\n");
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compare_implementations(&dg, IGRAPH_OUT, IGRAPH_OUT, &dweights);
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printf("\nSPECIAL CASES\n\n");
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printf("Null graph\n");
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igraph_empty(&g, 0, IGRAPH_UNDIRECTED);
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compare_implementations(&g, IGRAPH_ALL, IGRAPH_ALL, NULL);
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igraph_destroy(&g);
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printf("Singleton with loop\n");
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igraph_small(&g, 1, IGRAPH_UNDIRECTED, 0,0, -1);
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compare_implementations(&g, IGRAPH_ALL, IGRAPH_ALL, NULL);
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igraph_destroy(&g);
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printf("Two isolated vertices\n");
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igraph_empty(&g, 2, IGRAPH_UNDIRECTED);
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compare_implementations(&g, IGRAPH_ALL, IGRAPH_ALL, NULL);
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igraph_destroy(&g);
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printf("Check directed/undirected equivalence principle\n");
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check_dir_undir_equiv(&ug);
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igraph_vector_destroy(&dweights);
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igraph_destroy(&dg);
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igraph_vector_destroy(&uweights);
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igraph_destroy(&ug);
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VERIFY_FINALLY_STACK();
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return 0;
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}
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