<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <title>linbox: examples/minpoly.C</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <link href="doxygen.css" rel="stylesheet" type="text/css"/> </head> <body> <!-- Generated by Doxygen 1.7.4 --> <script type="text/javascript"> function hasClass(ele,cls) { return ele.className.match(new RegExp('(\\s|^)'+cls+'(\\s|$)')); } function addClass(ele,cls) { if (!this.hasClass(ele,cls)) ele.className += " "+cls; } function removeClass(ele,cls) { if (hasClass(ele,cls)) { var reg = new RegExp('(\\s|^)'+cls+'(\\s|$)'); ele.className=ele.className.replace(reg,' '); } } function toggleVisibility(linkObj) { var base = linkObj.getAttribute('id'); var summary = document.getElementById(base + '-summary'); var content = document.getElementById(base + '-content'); var trigger = document.getElementById(base + '-trigger'); if ( hasClass(linkObj,'closed') ) { summary.style.display = 'none'; content.style.display = 'block'; trigger.src = 'open.png'; removeClass(linkObj,'closed'); addClass(linkObj,'opened'); } else if ( hasClass(linkObj,'opened') ) { summary.style.display = 'block'; content.style.display = 'none'; trigger.src = 'closed.png'; removeClass(linkObj,'opened'); addClass(linkObj,'closed'); } return false; } </script> <div id="top"> <div id="titlearea"> <table cellspacing="0" cellpadding="0"> <tbody> <tr style="height: 56px;"> <td style="padding-left: 0.5em;"> <div id="projectname">linbox</div> </td> </tr> </tbody> </table> </div> <div id="navrow1" class="tabs"> <ul class="tablist"> <li><a href="index.html"><span>Main Page</span></a></li> <li><a href="pages.html"><span>Related Pages</span></a></li> <li><a href="modules.html"><span>Modules</span></a></li> <li><a href="namespaces.html"><span>Namespaces</span></a></li> <li><a href="annotated.html"><span>Data Structures</span></a></li> <li><a href="files.html"><span>Files</span></a></li> <li><a href="dirs.html"><span>Directories</span></a></li> <li><a href="examples.html"><span>Examples</span></a></li> </ul> </div> </div> <div class="header"> <div class="headertitle"> <div class="title">examples/minpoly.C</div> </div> </div> <div class="contents"> <p>Minimal polynomial of a sparse matrix.</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/minpoly.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="preprocessor">#include <iostream></span> <span class="keyword">template</span> <<span class="keyword">class</span> Field, <span class="keyword">class</span> Polynomial> <span class="keywordtype">void</span> printPolynomial (<span class="keyword">const</span> <a name="_a0"></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> &F, <span class="keyword">const</span> Polynomial &v) { <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = (<span class="keywordtype">int</span>)v.size () ; i-- ; ) { F.write (std::cout, v[i]); <span class="keywordflow">if</span> (i > 0) std::cout << <span class="stringliteral">" x^"</span> << i << <span class="stringliteral">" + "</span>; } std::cout << std::endl; } <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/solutions/minpoly.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="a1"></a>setMaxDetailLevel (-1); commentator.<a name="a2"></a>setMaxDepth (-1); commentator.<a name="a3"></a>setReportStream (std::cerr); <span class="keywordtype">int</span> a = argc; <span class="keywordflow">while</span>(a--){ cerr << <span class="stringliteral">"argv["</span> << a << <span class="stringliteral">"] = "</span> << argv[a] << endl; } <span class="keywordflow">if</span> (argc < 2) { cerr << <span class="stringliteral">"Usage: minpoly <matrix-file-in-SMS-format> [<p>]"</span> << endl; <span class="keywordflow">return</span> -1; } 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; } <span class="keywordflow">if</span> (argc != 3) { <span class="keywordtype">int</span> process = 0; <a name="_a4"></a><a class="code" href="struct_lin_box_1_1_blackbox_specifier.html" title="BlackboxSpecifier.">Method::Blackbox</a> M; <span class="preprocessor">#ifdef __LINBOX_HAVE_MPI</span> <span class="preprocessor"></span> Communicator C(&argc, &argv); process = C.rank(); M.communicatorp(&C); <span class="preprocessor">#endif</span> <span class="preprocessor"></span> <a name="_a5"></a><a class="code" href="class_lin_box_1_1_p_i_d__integer.html" title="Domain for integer operations.">PID_integer</a> ZZ; <a name="_a6"></a><a class="code" href="class_lin_box_1_1_sparse_matrix.html" title="vector of sparse rows.">SparseMatrix<PID_integer></a> A (ZZ); A.read (input); <span class="keywordflow">if</span>(process == 0) cout << <span class="stringliteral">"A is "</span> << A.rowdim() << <span class="stringliteral">" by "</span> << A.coldim() << endl; vector<PID_integer::Element> m_A; minpoly (m_A, A, M); <span class="keywordflow">if</span>(process == 0){ cout << <span class="stringliteral">"Minimal Polynomial is "</span>; printPolynomial (ZZ, m_A); } <span class="comment">// minpoly (m_A, A, Method::BlasElimination() );</span> <span class="comment">// if(process == 0){</span> <span class="comment">// cout << "Minimal Polynomial is ";</span> <span class="comment">// printPolynomial (ZZ, m_A);</span> <span class="comment">// }</span> } <span class="keywordflow">else</span>{ <span class="keyword">typedef</span> <a name="_a7"></a><a class="code" href="class_lin_box_1_1_modular_3_01double_01_4.html" title="Standard representation of .">Modular<double></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); <a class="code" href="class_lin_box_1_1_sparse_matrix.html" title="vector of sparse rows.">SparseMatrix<Field></a> B (F); B.read (input); cout << <span class="stringliteral">"B is "</span> << B.rowdim() << <span class="stringliteral">" by "</span> << B.coldim() << endl; vector<Field::Element> m_B; minpoly (m_B, B); cout << <span class="stringliteral">"Minimal Polynomial is "</span>; printPolynomial (F, m_B); <span class="comment">// minpoly (m_A, A, Method::BlasElimination() );</span> <span class="comment">// cout << "Minimal Polynomial is ";</span> <span class="comment">// printPolynomial (F, m_B);</span> } <span class="keywordflow">return</span> 0; } </pre></div> </div> </div> <hr class="footer"/><address class="footer"><small>Generated on Tue Aug 30 2011 for linbox by  <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address> </body> </html>