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/usr/include/igraph/igraph_eigen.h is in libigraph0-dev 0.6.5-5.

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/* -*- mode: C -*-  */
/* 
   IGraph library.
   Copyright (C) 2010-2012  Gabor Csardi <csardi.gabor@gmail.com>
   334 Harvard street, 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_arpack.h"
#include "igraph_lapack.h"
#include "igraph_sparsemat.h"

#ifndef IGRAPH_EIGEN_H
#define IGRAPH_EIGEN_H

#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif

__BEGIN_DECLS

typedef enum { IGRAPH_EIGEN_AUTO,
	       IGRAPH_EIGEN_LAPACK,
	       IGRAPH_EIGEN_ARPACK, 
	       IGRAPH_EIGEN_COMP_AUTO,
	       IGRAPH_EIGEN_COMP_LAPACK,
	       IGRAPH_EIGEN_COMP_ARPACK } igraph_eigen_algorithm_t;

typedef enum { IGRAPH_EIGEN_LM,
	       IGRAPH_EIGEN_SM,
	       IGRAPH_EIGEN_LA,
	       IGRAPH_EIGEN_SA,
	       IGRAPH_EIGEN_BE,
	       IGRAPH_EIGEN_LR,
	       IGRAPH_EIGEN_SR,
	       IGRAPH_EIGEN_LI,
	       IGRAPH_EIGEN_SI,
	       IGRAPH_EIGEN_ALL,
	       IGRAPH_EIGEN_INTERVAL,
	       IGRAPH_EIGEN_SELECT } igraph_eigen_which_position_t;

typedef struct igraph_eigen_which_t {
  igraph_eigen_which_position_t pos;
  int howmany;
  int il, iu;
  igraph_real_t vl, vu;
  int vestimate;
  igraph_lapack_dgeevx_balance_t balance;
} igraph_eigen_which_t;
    

int igraph_eigen_matrix_symmetric(const igraph_matrix_t *A,
				  const igraph_sparsemat_t *sA,
				  igraph_arpack_function_t *fun, int n,
				  void *extra,
				  igraph_eigen_algorithm_t algorithm,
				  const igraph_eigen_which_t *which,
				  igraph_arpack_options_t *options,
				  igraph_arpack_storage_t *storage,
				  igraph_vector_t *values, 
				  igraph_matrix_t *vectors);

int igraph_eigen_matrix(const igraph_matrix_t *A,
			const igraph_sparsemat_t *sA,
			igraph_arpack_function_t *fun, int n,
			void *extra,
			igraph_eigen_algorithm_t algorithm,
			const igraph_eigen_which_t *which,
			igraph_arpack_options_t *options,
			igraph_arpack_storage_t *storage,
			igraph_vector_complex_t *values,
			igraph_matrix_complex_t *vectors);

int igraph_eigen_adjacency(const igraph_t *graph,
			   igraph_eigen_algorithm_t algorithm,
			   const igraph_eigen_which_t *which,
			   igraph_arpack_options_t *options,
			   igraph_arpack_storage_t *storage,
			   igraph_vector_t *values,
			   igraph_matrix_t *vectors,
			   igraph_vector_complex_t *cmplxvalues,
			   igraph_matrix_complex_t *cmplxvectors);

int igraph_eigen_laplacian(const igraph_t *graph,
			   igraph_eigen_algorithm_t algorithm,
			   const igraph_eigen_which_t *which,
			   igraph_arpack_options_t *options,
			   igraph_arpack_storage_t *storage,
			   igraph_vector_t *values,
			   igraph_matrix_t *vectors,
			   igraph_vector_complex_t *cmplxvalues,
			   igraph_matrix_complex_t *cmplxvectors);


__END_DECLS

#endif