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<div class="title">examples/det.C</div> </div>
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<p>Determinant of sparse matrix over Z or Zp.</p>
<div class="fragment"><pre class="fragment"><span class="comment">/* -*- mode: C++; tab-width: 8; indent-tabs-mode: t; c-basic-offset: 8 -*- */</span>
<span class="comment">// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s</span>
<span class="comment">/*</span>
<span class="comment"> * examples/det.C</span>
<span class="comment"> *</span>
<span class="comment"> * Copyright (C) 2005, 2010 D. Saunders, J-G. Dumas</span>
<span class="comment"> *</span>
<span class="comment"> * This file is part of LinBox.</span>
<span class="comment"> *</span>
<span class="comment"> * LinBox is free software: you can redistribute it and/or modify</span>
<span class="comment"> * it under the terms of the GNU Lesser General Public License as</span>
<span class="comment"> * published by the Free Software Foundation, either version 2 of</span>
<span class="comment"> * the License, or (at your option) any later version.</span>
<span class="comment"> *</span>
<span class="comment"> * LinBox is distributed in the hope that it will be useful,</span>
<span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span>
<span class="comment"> * GNU Lesser General Public License for more details.</span>
<span class="comment"> *</span>
<span class="comment"> * You should have received a copy of the GNU Lesser General Public</span>
<span class="comment"> * License along with LinBox. If not, see</span>
<span class="comment"> * <http://www.gnu.org/licenses/>.</span>
<span class="comment"> */</span>
<span class="comment">//#include "linbox-config.h"</span>
<span class="preprocessor">#include <iostream></span>
<span class="preprocessor">#include "<a class="code" href="modular-double_8h.html" title="Standard representation of Z/mZ over double .">linbox/field/modular-double.h</a>"</span>
<span class="preprocessor">#include "linbox/blackbox/sparse.h"</span>
<span class="preprocessor">#include "linbox/blackbox/blas-blackbox.h"</span>
<span class="preprocessor">#include "<a class="code" href="det_8h.html" title="NO DOC.">linbox/solutions/det.h</a>"</span>
<span class="preprocessor">#include "linbox/util/matrix-stream.h"</span>
<span class="keyword">using namespace </span>LinBox;
<span class="keyword">using namespace </span>std;
<span class="keywordtype">int</span> main (<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> **argv)
{
commentator.<a name="a0"></a>setMaxDetailLevel (-1);
commentator.<a name="a1"></a>setMaxDepth (-1);
commentator.<a name="a2"></a>setReportStream (std::cerr);
<span class="keywordflow">if</span> (argc <= 1 || argc > 3) {
cerr << <span class="stringliteral">"Usage: det <matrix-file-in-supported-format> [<p>]"</span> << endl;
<span class="keywordflow">return</span> -1;
}
<span class="keywordflow">if</span> (argc == 2 ) {
<span class="comment">// For a small integer matrix test, do "det data/mat2S".</span>
<span class="comment">// It is a 2 by 2 matrix with determinant = -2.</span>
<span class="keyword">typedef</span> <a name="_a3"></a><a class="code" href="class_lin_box_1_1_p_i_d__integer.html" title="Domain for integer operations.">PID_integer</a> Integers;
Integers ZZ;
ifstream input (argv[1]);
<span class="keywordflow">if</span> (!input)
{ cerr << <span class="stringliteral">"Error opening matrix file "</span> << argv[1] << endl;
<span class="keywordflow">return</span> -1;
}
<a name="_a4"></a><a class="code" href="class_lin_box_1_1_matrix_stream.html" title="MatrixStream.">MatrixStream< Integers></a> ms ( ZZ, input );
<a name="_a5"></a><a class="code" href="class_lin_box_1_1_blas_blackbox.html" title="Dense matrix representation for BLAS based elimination.">BlasBlackbox<Integers></a> A(ms);
cout << <span class="stringliteral">"Matrix is "</span> << A.<a name="a6"></a><a class="code" href="class_lin_box_1_1_blas_blackbox.html#a0fee90e6b8ef7fcd8d76a7f3e1f268e6" title="Get the number of rows in the matrix.">rowdim</a>() << <span class="stringliteral">" by "</span> << A.<a name="a7"></a><a class="code" href="class_lin_box_1_1_blas_blackbox.html#a32edb490d3597f5553152d14b102e227" title="Get the number of columns in the matrix.">coldim</a>() << endl;
Integers::Element det_A;
<a name="a8"></a><a class="code" href="group__solutions.html#ga9cfcc847d3a7deac68ad6d98e0cd384f" title="Compute the determinant of A.">det</a> (det_A, A);
cout << <span class="stringliteral">"Determinant is "</span>;
ZZ.write(cout, det_A) << endl;
}
<span class="keywordflow">if</span> (argc == 3) {
<span class="keyword">typedef</span> <a name="_a9"></a><a class="code" href="class_lin_box_1_1_modular_3_01double_01_4.html" title="Standard representation of .">Modular<double></a> <a name="_a10"></a><a class="code" href="class_lin_box_1_1_modular_3_01uint32__t_01_4.html" title="Specialization of class Modular for uint32_t element type.">Field</a>;
<span class="keywordtype">double</span> q = atof(argv[2]);
Field F(q);
ifstream input (argv[1]);
<span class="keywordflow">if</span> (!input)
{ cerr << <span class="stringliteral">"Error opening matrix file "</span> << argv[1] << endl;
<span class="keywordflow">return</span> -1;
}
<a class="code" href="class_lin_box_1_1_matrix_stream.html" title="MatrixStream.">MatrixStream< Field ></a> ms ( F, input );
<a name="_a11"></a><a class="code" href="class_lin_box_1_1_sparse_matrix.html" title="vector of sparse rows.">SparseMatrix<Field></a> B (ms);
cout << <span class="stringliteral">"Matrix is "</span> << B.<a name="a12"></a><a class="code" href="class_lin_box_1_1_sparse_matrix.html#a0fee90e6b8ef7fcd8d76a7f3e1f268e6" title="Retreive row dimensions of Sparsemat matrix.">rowdim</a>() << <span class="stringliteral">" by "</span> << B.<a name="a13"></a><a class="code" href="class_lin_box_1_1_sparse_matrix.html#a32edb490d3597f5553152d14b102e227" title="Retreive column dimensions of Sparsemat matrix.">coldim</a>() << endl;
Field::Element det_B;
<a class="code" href="group__solutions.html#ga9cfcc847d3a7deac68ad6d98e0cd384f" title="Compute the determinant of A.">det</a> (det_B, B);
cout << <span class="stringliteral">"Determinant is "</span>;
F.write(cout, det_B) << <span class="stringliteral">" mod "</span> << q << endl;
}
<span class="keywordflow">return</span> 0;
}
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