/* -*- mode: C -*- */ /* Test suite for the Fisher-Yates shuffle. Copyright (C) 2011 Minh Van Nguyen This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #include #define R_INTEGER(a,b) (igraph_rng_get_integer(igraph_rng_default(), (a), (b))) #define R_UNIF(a,b) (igraph_rng_get_unif(igraph_rng_default(), (a), (b))) int main() { igraph_real_t d; igraph_vector_t u, v; int ret; long int i, k, n; /******************************** * Example usage ********************************/ /* Sequences with one element. Such sequences are trivially permuted. * The result of any Fisher-Yates shuffle on a sequence with one element * must be the original sequence itself. */ n = 1; igraph_vector_init(&v, n); igraph_rng_seed(igraph_rng_default(), 42); /* make tests deterministic */ k = R_INTEGER(-1000, 1000); VECTOR(v)[0] = k; igraph_vector_shuffle(&v); if (VECTOR(v)[0] != k) { return 1; } d = R_UNIF(-1000.0, 1000.0); VECTOR(v)[0] = d; igraph_vector_shuffle(&v); if (VECTOR(v)[0] != d) { return 2; } igraph_vector_destroy(&v); /* Sequences with multiple elements. A Fisher-Yates shuffle of a sequence S * is a random permutation \pi(S) of S. Thus \pi(S) must have the same * length and elements as the original sequence S. A major difference between * S and its random permutation \pi(S) is that the order in which elements * appear in \pi(S) is probably different from how elements are ordered in S. * If S has length n = 1, then both \pi(S) and S are equivalent sequences in * that \pi(S) is merely S and no permutation has taken place. If S has * length n > 1, then there are n! possible permutations of S. Assume that * each such permutation is equally likely to appear as a result of the * Fisher-Yates shuffle. As n increases, the probability that S is different * from \pi(S) also increases. We have a probability of 1 / n! that S and * \pi(S) are equivalent sequences. */ n = 100; igraph_vector_init(&u, n); igraph_vector_init(&v, n); for (i = 0; i < n; i++) { k = R_INTEGER(-1000, 1000); VECTOR(u)[i] = k; VECTOR(v)[i] = k; } igraph_vector_shuffle(&v); /* must have same length */ if (igraph_vector_size(&v) != n) { return 3; } if (igraph_vector_size(&u) != igraph_vector_size(&v)) { return 4; } /* must have same elements */ igraph_vector_sort(&u); igraph_vector_sort(&v); if (!igraph_vector_all_e(&u, &v)) { return 5; } igraph_vector_destroy(&u); igraph_vector_destroy(&v); /* empty sequence */ igraph_vector_init(&v, 0); ret = igraph_vector_shuffle(&v); igraph_vector_destroy(&v); return ret == 0 ? 0 : 6; }