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/* -*- mode: C -*- */
/*
IGraph library.
Copyright (C) 2011-2012 Gabor Csardi <csardi.gabor@gmail.com>
334 Harvard st, Cambridge MA, 02139 USA
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 <igraph.h>
#define DUMP() do { \
igraph_vector_complex_print(&values); \
igraph_vector_complex_print(&values2); \
} while(0)
int main() {
const int nodes = 10;
igraph_matrix_t mat2;
igraph_vector_complex_t values, values2;
igraph_matrix_complex_t vectors, vectors2;
igraph_eigen_which_t which;
int i;
igraph_rng_seed(igraph_rng_default(), 42);
igraph_matrix_init(&mat2, nodes, nodes);
for (i = 0; i < nodes; i++) {
int j;
for (j = 0; j < nodes; j++) {
MATRIX(mat2, i, j) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
}
}
/* Test LR, a single eigenvalue first */
igraph_vector_complex_init(&values, 0);
igraph_matrix_complex_init(&vectors, 0, 0);
which.pos = IGRAPH_EIGEN_LR;
which.howmany = 1;
igraph_eigen_matrix(&mat2, /*sparsemat=*/ 0, /*fun=*/ 0, nodes,
/*extra=*/ 0, IGRAPH_EIGEN_LAPACK, &which,
/*options=*/ 0, /*storage=*/ 0, &values, &vectors);
igraph_vector_complex_print(&values);
igraph_matrix_complex_print(&vectors);
igraph_vector_complex_destroy(&values);
igraph_matrix_complex_destroy(&vectors);
/* LR, and SR, all eigenvalues */
igraph_vector_complex_init(&values, 0);
igraph_matrix_complex_init(&vectors, 0, 0);
which.pos = IGRAPH_EIGEN_LR;
which.howmany = nodes;
igraph_eigen_matrix(&mat2, /*sparsemat=*/ 0, /*fun=*/ 0, nodes,
/*extra=*/ 0, IGRAPH_EIGEN_LAPACK, &which,
/*options=*/ 0, /*storage=*/ 0, &values, &vectors);
igraph_vector_complex_init(&values2, 0);
igraph_matrix_complex_init(&vectors2, 0, 0);
which.pos = IGRAPH_EIGEN_SR;
which.howmany = nodes;
igraph_eigen_matrix(&mat2, /*sparsemat=*/ 0, /*fun=*/ 0, nodes,
/*extra=*/ 0, IGRAPH_EIGEN_LAPACK, &which,
/*options=*/ 0, /*storage=*/ 0, &values2, &vectors2);
for (i = 0; i < nodes; i++) {
int j;
igraph_real_t d =
igraph_complex_abs(igraph_complex_sub(VECTOR(values)[i],
VECTOR(values2)[nodes - i - 1]));
if (d > 1e-15) {
DUMP();
return 2;
}
for (j = 0; j < nodes; j++) {
igraph_real_t d =
igraph_complex_abs(igraph_complex_sub(MATRIX(vectors, j, i),
MATRIX(vectors2, j,
nodes - i - 1)));
if (d > 1e-15) {
DUMP();
return 3;
}
}
}
igraph_vector_complex_destroy(&values);
igraph_matrix_complex_destroy(&vectors);
igraph_vector_complex_destroy(&values2);
igraph_matrix_complex_destroy(&vectors2);
igraph_matrix_destroy(&mat2);
return 0;
}
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