/usr/include/linbox/algorithms/diophantine-solver.h is in liblinbox-dev 1.4.2-5build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 | /* linbox/algorithms/diophantine-solver.h
* Copyright (C) 2004 David Pritchard
*
* Written by David Pritchard <daveagp@mit.edu>
*
* ========LICENCE========
* This file is part of the library LinBox.
*
* LinBox is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library 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
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
* ========LICENCE========
*/
#ifndef __LINBOX_diophantine_solver_H
#define __LINBOX_diophantine_solver_H
#include "linbox/algorithms/rational-solver.h"
#include "linbox/solutions/methods.h"
#include "linbox/blackbox/archetype.h"
#include "linbox/blackbox/lambda-sparse.h"
#include "linbox/blackbox/compose.h"
namespace LinBox
{
extern const char* solverReturnString[6] ;
/**
* \brief DiophantineSolver<QSolver> creates a diophantine solver using a QSolver to generate rational solutions
* Methods solve, randomSolve just expose functions from underlying rational solver.
* Method diophantineSolve creates a solution with minimal denominator, and can also create
* a certificate of minimality (described in 'Certified Dense Linear System Solving' by Mulders+Storjohann)
* which will be left in the public field lastCertificate.
*/
template<class QSolver>
class DiophantineSolver {
protected:
typedef typename QSolver::RingType Ring;
typedef typename Ring::Element Integer;
QSolver& _rationalSolver;
Ring _ring;
public:
// information for last diophantine solve
mutable int numSolutionsNeeded;
mutable int numFailedCallsToSolver;
mutable int numRevelantSolutions;
VectorFraction<Ring> lastCertificate;
/*! Constructor from a rationalSolver
* @param rs a rationalSolver
*/
DiophantineSolver (QSolver& rs) :
_rationalSolver(rs), _ring(rs.getRing())
,numSolutionsNeeded(0),numFailedCallsToSolver(0),numRevelantSolutions (0)
, lastCertificate(_ring, 0)
{ }
/** Solve a linear system \c Ax=b over quotient field of a ring.
*
* @param A Matrix of linear system
* @param x Vector in which to store solution
* @param b Right-hand side of system
* @param maxPrimes maximum number of moduli to try
* @param level level of certification to be used
* @param den
*
* @return status of solution. if \c (return != SS_FAILED), and \c (level >= SL_LASVEGAS), solution is guaranteed correct.
* \c SS_FAILED - all primes used were bad
* \c SS_OK - solution found.
* \c SS_INCONSISTENT - system appreared inconsistent. certificate is in \p lastCertificate if \c (level >= SL_CERTIFIED)
*/
template<class IMatrix, class Vector1, class Vector2>
SolverReturnStatus solve(Vector1& x, Integer& den, const IMatrix& A, const Vector2& b, const int maxPrimes = DEFAULT_MAXPRIMES,
const SolverLevel level = SL_DEFAULT);
/** Find a random solution of the general linear system \c Ax=b over quotient field of a ring.
*
* @param A Matrix of linear system
* @param x Vector in which to store solution
* @param b Right-hand side of system
* @param maxPrimes maximum number of moduli to try
* @param level level of certification to be used
* @param den
*
* @return status of solution. if \c (return != SS_FAILED), and \c (level >= SL_LASVEGAS), solution is guaranteed correct.
* \c SS_FAILED - all primes used were bad
* \c SS_OK - solution found.
* \c SS_INCONSISTENT - system appreared inconsistent. certificate is in \p lastCertificate if \c (level >= SL_CERTIFIED)
*/
template<class IMatrix, class Vector1, class Vector2>
SolverReturnStatus randomSolve(Vector1& x, Integer& den, const IMatrix& A, const Vector2& b, const int maxPrimes = DEFAULT_MAXPRIMES,
const SolverLevel level = SL_DEFAULT);
/**
* Find a solution of the linear system \c Ax=b whose denominator (when written as an integer vector over a single denom) is minimal.
*
* @param A Matrix of linear system
* @param x Vector in which to store solution
* @param b Right-hand side of system
* @param maxPrimes maximum number of moduli to try
* @param level level of certification to be used
* @param den
*
* @return status of solution. if \c (return != SS_FAILED) and \c (level >= SL_LASVEGAS), solution is guaranteed correct
* if \c (return == SS_OK) and \c (level >= SL_LASVEGAS), solution is guaranteed minimal.
* \c SS_FAILED - all primes used were bad
* \c SS_OK - solution found. certificate of minimality is in lastCertificate if \c (level >= SL_CERTIFIED)
* \c SS_INCONSISTENT - system appreared inconsistent. certificate of inconsistency is in \p lastCertificate if \c (level >= SL_CERTIFIED)
*
* @return status of solution - OK, FAILED, SINGULAR, INCONSISTENT, BAD_PRECONDITIONER
*/
template<class IMatrix, class Vector1, class Vector2>
SolverReturnStatus diophantineSolve(Vector1& x, Integer& den, const IMatrix& A, const Vector2& b, const int maxPrimes = DEFAULT_MAXPRIMES,
const SolverLevel level = SL_DEFAULT);
};
}
#include "linbox/algorithms/diophantine-solver.inl"
#ifdef LinBoxSrcOnly
#include "linbox/algorithms/diophantine-solver.C"
#endif
#endif //__LINBOX_diophantine_solver_H
// Local Variables:
// mode: C++
// tab-width: 8
// indent-tabs-mode: nil
// c-basic-offset: 8
// End:
// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
|