82 lines
2.0 KiB
C
82 lines
2.0 KiB
C
|
/**
|
||
|
|
* \file echelonform.h
|
||
|
|
* \brief Row echelon forms
|
||
|
|
*
|
||
|
|
* \author Martin Albrecht <M.R.Albrecht@rhul.ac.uk>
|
||
|
|
*/
|
||
|
|
|
||
|
|
#ifndef M4RI_ECHELONFORM_H
|
||
|
|
#define M4RI_ECHELONFORM_H
|
||
|
|
|
||
|
|
/*******************************************************************
|
||
|
|
*
|
||
|
|
* M4RI: Linear Algebra over GF(2)
|
||
|
|
*
|
||
|
|
* Copyright (C) 2010 Martin Albrecht <M.R.Albrecht@rhul.ac.uk>
|
||
|
|
*
|
||
|
|
* Distributed under the terms of the GNU General Public License (GPL)
|
||
|
|
* version 2 or higher.
|
||
|
|
*
|
||
|
|
* This code 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.
|
||
|
|
*
|
||
|
|
* The full text of the GPL is available at:
|
||
|
|
*
|
||
|
|
* http://www.gnu.org/licenses/
|
||
|
|
*
|
||
|
|
********************************************************************/
|
||
|
|
|
||
|
|
#include <m4ri/mzd.h>
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Density at which we switch to PLE decomposition.
|
||
|
|
*/
|
||
|
|
|
||
|
|
#define __M4RI_ECHELONFORM_CROSSOVER_DENSITY 0.15
|
||
|
|
|
||
|
|
/**
|
||
|
|
* \brief (Reduced) row echelon form.
|
||
|
|
*
|
||
|
|
* This function will
|
||
|
|
*
|
||
|
|
* \param A Matrix.
|
||
|
|
* \param full Return the reduced row echelon form, not only upper triangular form.
|
||
|
|
*
|
||
|
|
* \return Rank of A.
|
||
|
|
*/
|
||
|
|
|
||
|
|
rci_t mzd_echelonize(mzd_t *A, int full);
|
||
|
|
|
||
|
|
/**
|
||
|
|
* \brief (Reduced) row echelon form using PLUQ factorisation.
|
||
|
|
*
|
||
|
|
* \param A Matrix.
|
||
|
|
* \param full Return the reduced row echelon form, not only upper triangular form.
|
||
|
|
*
|
||
|
|
* \sa mzd_pluq()
|
||
|
|
*
|
||
|
|
* \return Rank of A.
|
||
|
|
*/
|
||
|
|
|
||
|
|
rci_t mzd_echelonize_pluq(mzd_t *A, int full);
|
||
|
|
|
||
|
|
/**
|
||
|
|
* \brief Matrix elimination using the 'Method of the Four Russians' (M4RI).
|
||
|
|
*
|
||
|
|
* This is a wrapper function for _mzd_echelonize_m4ri()
|
||
|
|
*
|
||
|
|
* \param A Matrix to be reduced.
|
||
|
|
* \param full Return the reduced row echelon form, not only upper triangular form.
|
||
|
|
* \param k M4RI parameter, may be 0 for auto-choose.
|
||
|
|
*
|
||
|
|
* \sa _mzd_echelonize_m4ri()
|
||
|
|
*
|
||
|
|
* \return Rank of A.
|
||
|
|
*/
|
||
|
|
|
||
|
|
rci_t mzd_echelonize_m4ri(mzd_t *A, int full, int k);
|
||
|
|
|
||
|
|
#endif // M4RI_ECHELONFORM_H
|