File: igraph_sparsemat.h

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/* -*- mode: C -*-  */
/* 
   IGraph library.
   Copyright (C) 2009-2012  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

*/

#ifndef IGRAPH_SPARSEMAT_H
#define IGRAPH_SPARSEMAT_H

#include "igraph_types.h"
#include "igraph_vector.h"
#include "igraph_datatype.h"
#include "igraph_arpack.h"

#include <stdio.h>

struct cs_di_sparse;
struct cs_di_symbolic;
struct cs_di_numeric;

typedef struct {
  struct cs_di_sparse *cs;
} igraph_sparsemat_t;

typedef struct {
  struct cs_di_symbolic *symbolic;
} igraph_sparsemat_symbolic_t;

typedef struct {
  struct cs_di_numeric *numeric;
} igraph_sparsemat_numeric_t;

typedef enum { IGRAPH_SPARSEMAT_TRIPLET, 
	       IGRAPH_SPARSEMAT_CC        } igraph_sparsemat_type_t;

typedef struct {
  igraph_sparsemat_t *mat;
  int pos;
  int col;
} igraph_sparsemat_iterator_t;

int igraph_sparsemat_init(igraph_sparsemat_t *A, int rows, int cols, int nzmax);
int igraph_sparsemat_copy(igraph_sparsemat_t *to, 
			  const igraph_sparsemat_t *from);
void igraph_sparsemat_destroy(igraph_sparsemat_t *A);
int igraph_sparsemat_realloc(igraph_sparsemat_t *A, int nzmax);

long int igraph_sparsemat_nrow(const igraph_sparsemat_t *A);
long int igraph_sparsemat_ncol(const igraph_sparsemat_t *B);
igraph_sparsemat_type_t igraph_sparsemat_type(const igraph_sparsemat_t *A);
igraph_bool_t igraph_sparsemat_is_triplet(const igraph_sparsemat_t *A);
igraph_bool_t igraph_sparsemat_is_cc(const igraph_sparsemat_t *A);

int igraph_sparsemat_permute(const igraph_sparsemat_t *A,
			     const igraph_vector_int_t *p, 
			     const igraph_vector_int_t *q,
			     igraph_sparsemat_t *res);

int igraph_sparsemat_index(const igraph_sparsemat_t *A,
			   const igraph_vector_int_t *p,
			   const igraph_vector_int_t *q,
			   igraph_sparsemat_t *res,
			   igraph_real_t *constres);

int igraph_sparsemat_entry(igraph_sparsemat_t *A, int row, int col, 
			   igraph_real_t elem);
int igraph_sparsemat_compress(const igraph_sparsemat_t *A, 
			      igraph_sparsemat_t *res);
int igraph_sparsemat_transpose(const igraph_sparsemat_t *A, 
			       igraph_sparsemat_t *res, int values);
igraph_bool_t igraph_sparsemat_is_symmetric(const igraph_sparsemat_t *A);
int igraph_sparsemat_dupl(igraph_sparsemat_t *A);
int igraph_sparsemat_fkeep(igraph_sparsemat_t *A, 
			   int (*fkeep)(int, int, igraph_real_t, void*),
			   void *other);
int igraph_sparsemat_dropzeros(igraph_sparsemat_t *A);
int igraph_sparsemat_droptol(igraph_sparsemat_t *A, igraph_real_t tol);
int igraph_sparsemat_multiply(const igraph_sparsemat_t *A,
			      const igraph_sparsemat_t *B,
			      igraph_sparsemat_t *res);
int igraph_sparsemat_add(const igraph_sparsemat_t *A, 
			 const igraph_sparsemat_t *B,
			 igraph_real_t alpha,
			 igraph_real_t beta,
			 igraph_sparsemat_t *res);
int igraph_sparsemat_gaxpy(const igraph_sparsemat_t *A,
			   const igraph_vector_t *x,
			   igraph_vector_t *res);

int igraph_sparsemat_lsolve(const igraph_sparsemat_t *A,
			    const igraph_vector_t *b,
			    igraph_vector_t *res);
int igraph_sparsemat_ltsolve(const igraph_sparsemat_t *A,
			     const igraph_vector_t *b,
			     igraph_vector_t *res);
int igraph_sparsemat_usolve(const igraph_sparsemat_t *A,
			    const igraph_vector_t *b,
			    igraph_vector_t *res);
int igraph_sparsemat_utsolve(const igraph_sparsemat_t *A,
			     const igraph_vector_t *b,
			     igraph_vector_t *res);

int igraph_sparsemat_cholsol(const igraph_sparsemat_t *A,
			     const igraph_vector_t *b,
			     igraph_vector_t *res, 
			     int order);

int igraph_sparsemat_lusol(const igraph_sparsemat_t *A,
			   const igraph_vector_t *b,
			   igraph_vector_t *res,
			   int order,
			   igraph_real_t tol);

int igraph_sparsemat_print(const igraph_sparsemat_t *A,
			   FILE *outstream);

int igraph_sparsemat_eye(igraph_sparsemat_t *A, int n, int nzmax,
			 igraph_real_t value,
			 igraph_bool_t compress);

int igraph_sparsemat_diag(igraph_sparsemat_t *A, int nzmax,
			  const igraph_vector_t *values,
			  igraph_bool_t compress);

int igraph_sparsemat(igraph_t *graph, const igraph_sparsemat_t *A,
		     igraph_bool_t directed);

int igraph_weighted_sparsemat(igraph_t *graph, const igraph_sparsemat_t *A, 
			      igraph_bool_t directed, const char *attr, 
			      igraph_bool_t loops);

int igraph_get_sparsemat(const igraph_t *graph, igraph_sparsemat_t *res);

int igraph_matrix_as_sparsemat(igraph_sparsemat_t *res,
			       const igraph_matrix_t *mat,
			       igraph_real_t tol);

int igraph_sparsemat_as_matrix(igraph_matrix_t *res,
			       const igraph_sparsemat_t *spmat);

typedef enum { IGRAPH_SPARSEMAT_SOLVE_LU,
	       IGRAPH_SPARSEMAT_SOLVE_QR } igraph_sparsemat_solve_t;

int igraph_sparsemat_arpack_rssolve(const igraph_sparsemat_t *A,
				    igraph_arpack_options_t *options,
				    igraph_arpack_storage_t *storage,
				    igraph_vector_t *values,
				    igraph_matrix_t *vectors, 
				    igraph_sparsemat_solve_t solvemethod);

int igraph_sparsemat_arpack_rnsolve(const igraph_sparsemat_t *A,
				    igraph_arpack_options_t *options,
				    igraph_arpack_storage_t *storage,
				    igraph_matrix_t *values, 
				    igraph_matrix_t *vectors);

int igraph_sparsemat_lu(const igraph_sparsemat_t *A, 
			const igraph_sparsemat_symbolic_t *dis, 
			igraph_sparsemat_numeric_t *din, double tol);

int igraph_sparsemat_qr(const igraph_sparsemat_t *A,
			const igraph_sparsemat_symbolic_t *dis,
			igraph_sparsemat_numeric_t *din);

int igraph_sparsemat_luresol(const igraph_sparsemat_symbolic_t *dis,
			     const igraph_sparsemat_numeric_t *din, 
			     const igraph_vector_t *b,
			     igraph_vector_t *res);

int igraph_sparsemat_qrresol(const igraph_sparsemat_symbolic_t *dis,
			     const igraph_sparsemat_numeric_t *din, 
			     const igraph_vector_t *b,
			     igraph_vector_t *res);

int igraph_sparsemat_symbqr(long int order, const igraph_sparsemat_t *A,
			    igraph_sparsemat_symbolic_t *dis);

int igraph_sparsemat_symblu(long int order, const igraph_sparsemat_t *A,
			    igraph_sparsemat_symbolic_t *dis);


void igraph_sparsemat_symbolic_destroy(igraph_sparsemat_symbolic_t *dis);
void igraph_sparsemat_numeric_destroy(igraph_sparsemat_numeric_t *din);

igraph_real_t igraph_sparsemat_max(igraph_sparsemat_t *A);
igraph_real_t igraph_sparsemat_min(igraph_sparsemat_t *A);
int igraph_sparsemat_minmax(igraph_sparsemat_t *A, 
			    igraph_real_t *min, igraph_real_t *max);

long int igraph_sparsemat_count_nonzero(igraph_sparsemat_t *A);
long int igraph_sparsemat_count_nonzerotol(igraph_sparsemat_t *A, 
					   igraph_real_t tol);
int igraph_sparsemat_rowsums(const igraph_sparsemat_t *A, 
			     igraph_vector_t *res);
int igraph_sparsemat_colsums(const igraph_sparsemat_t *A, 
			     igraph_vector_t *res);

int igraph_sparsemat_scale(igraph_sparsemat_t *A, igraph_real_t by);
			   

int igraph_sparsemat_add_rows(igraph_sparsemat_t *A, long int n);
int igraph_sparsemat_add_cols(igraph_sparsemat_t *A, long int n);
int igraph_sparsemat_resize(igraph_sparsemat_t *A, long int nrow, 
			    long int ncol, int nzmax);
int igraph_sparsemat_nonzero_storage(const igraph_sparsemat_t *A);
int igraph_sparsemat_getelements(const igraph_sparsemat_t *A, 
				 igraph_vector_int_t *i,
				 igraph_vector_int_t *j, 
				 igraph_vector_t *x);
int igraph_sparsemat_getelements_sorted(const igraph_sparsemat_t *A, 
					igraph_vector_int_t *i,
					igraph_vector_int_t *j, 
					igraph_vector_t *x);
int igraph_sparsemat_scale_rows(igraph_sparsemat_t *A,
				const igraph_vector_t *fact);
int igraph_sparsemat_scale_cols(igraph_sparsemat_t *A,
				const igraph_vector_t *fact);
int igraph_sparsemat_multiply_by_dense(const igraph_sparsemat_t *A,
				       const igraph_matrix_t *B,
				       igraph_matrix_t *res);
int igraph_sparsemat_dense_multiply(const igraph_matrix_t *A,
				    const igraph_sparsemat_t *B,
				    igraph_matrix_t *res);

int igraph_i_sparsemat_view(igraph_sparsemat_t *A, int nzmax, int m, int n, 
			    int *p, int *i, double *x, int nz);

int igraph_sparsemat_sort(const igraph_sparsemat_t *A, 
			  igraph_sparsemat_t *sorted);

int igraph_sparsemat_nzmax(const igraph_sparsemat_t *A);

int igraph_sparsemat_neg(igraph_sparsemat_t *A);

int igraph_sparsemat_iterator_init(igraph_sparsemat_iterator_t *it,
				   igraph_sparsemat_t *sparsemat);
int igraph_sparsemat_iterator_reset(igraph_sparsemat_iterator_t *it);
igraph_bool_t 
igraph_sparsemat_iterator_end(const igraph_sparsemat_iterator_t *it);
int igraph_sparsemat_iterator_row(const igraph_sparsemat_iterator_t *it);
int igraph_sparsemat_iterator_col(const igraph_sparsemat_iterator_t *it);
int igraph_sparsemat_iterator_idx(const igraph_sparsemat_iterator_t *it);
igraph_real_t 
igraph_sparsemat_iterator_get(const igraph_sparsemat_iterator_t *it);
int igraph_sparsemat_iterator_next(igraph_sparsemat_iterator_t *it);

#endif