linbox
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Determinant of sparse matrix over Z or Zp.
/* -*- mode: C++; tab-width: 8; indent-tabs-mode: t; c-basic-offset: 8 -*- */ // vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s /* * examples/det.C * * Copyright (C) 2005, 2010 D. Saunders, J-G. Dumas * * This file is part of 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 of * the License, or (at your option) any later version. * * LinBox 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 LinBox. If not, see * <http://www.gnu.org/licenses/>. */ //#include "linbox-config.h" #include <iostream> #include "linbox/field/modular-double.h" #include "linbox/blackbox/sparse.h" #include "linbox/blackbox/blas-blackbox.h" #include "linbox/solutions/det.h" #include "linbox/util/matrix-stream.h" using namespace LinBox; using namespace std; int main (int argc, char **argv) { commentator.setMaxDetailLevel (-1); commentator.setMaxDepth (-1); commentator.setReportStream (std::cerr); if (argc <= 1 || argc > 3) { cerr << "Usage: det <matrix-file-in-supported-format> [<p>]" << endl; return -1; } if (argc == 2 ) { // For a small integer matrix test, do "det data/mat2S". // It is a 2 by 2 matrix with determinant = -2. typedef PID_integer Integers; Integers ZZ; ifstream input (argv[1]); if (!input) { cerr << "Error opening matrix file " << argv[1] << endl; return -1; } MatrixStream< Integers> ms ( ZZ, input ); BlasBlackbox<Integers> A(ms); cout << "Matrix is " << A.rowdim() << " by " << A.coldim() << endl; Integers::Element det_A; det (det_A, A); cout << "Determinant is "; ZZ.write(cout, det_A) << endl; } if (argc == 3) { typedef Modular<double> Field; double q = atof(argv[2]); Field F(q); ifstream input (argv[1]); if (!input) { cerr << "Error opening matrix file " << argv[1] << endl; return -1; } MatrixStream< Field > ms ( F, input ); SparseMatrix<Field> B (ms); cout << "Matrix is " << B.rowdim() << " by " << B.coldim() << endl; Field::Element det_B; det (det_B, B); cout << "Determinant is "; F.write(cout, det_B) << " mod " << q << endl; } return 0; }