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<div class="title">examples/graph-charpoly.C</div> </div>
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<p>Compute the integer characteristic polynomial of symetric matrices with (0,1) coefficients. Example for Pr G. Royle.</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/graph-charpoly.C</span>
<span class="comment"> *</span>
<span class="comment"> * Copyright (C) 2005, 2007, 2010 C. Pernet</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="preprocessor">#include "linbox/blackbox/zero-one.h"</span>
<span class="preprocessor">#include "<a class="code" href="_p_i_d-integer_8h.html" title="NO DOC.">linbox/field/PID-integer.h</a>"</span>
<span class="preprocessor">#include "linbox/solutions/charpoly.h"</span>
<span class="preprocessor">#include "<a class="code" href="givaro-polynomial_8h.html" title="NO DOC.">linbox/ring/givaro-polynomial.h</a>"</span>
<span class="preprocessor">#include "<a class="code" href="methods_8h.html" title="NO DOC.">linbox/solutions/methods.h</a>"</span>
<span class="keyword">using namespace </span>std;
<span class="keyword">using namespace </span>LinBox;
<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& P)
{
<span class="keywordtype">int</span> n= (int) P.size()-1;
<span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0;i<n;++i)
cout<<P[i]<<<span class="stringliteral">" "</span>;
cout<<endl;
<span class="keywordflow">if</span> (n==1){
cout<<<span class="stringliteral">"X"</span>;
<span class="keywordflow">if</span> ( P[0] != 0)
F.write(cout<<((P[0]>0)?<span class="stringliteral">"+"</span>:<span class="stringliteral">""</span>),P[0]);
}
<span class="keywordflow">else</span>{
cout<<<span class="stringliteral">"X^"</span><<n;
<span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i=n-1; i>1; --i)
<span class="keywordflow">if</span> (!F.isZero(P[i]))
F.write(cout<<((P[i]>0)?<span class="stringliteral">"+"</span>:<span class="stringliteral">""</span>),P[i])<<<span class="stringliteral">"*X^"</span><<i;
<span class="keywordflow">if</span> ( P[1] != 0)
F.write(cout<<((P[1]>0)?<span class="stringliteral">"+"</span>:<span class="stringliteral">""</span>),P[1])<<<span class="stringliteral">"*X"</span>;
<span class="keywordflow">if</span> ( P[0] != 0)
F.write(cout<<((P[0]>0)?<span class="stringliteral">"+"</span>:<span class="stringliteral">""</span>),P[0]);
}
}
<span class="keyword">typedef</span> <a name="_a1"></a><a class="code" href="class_lin_box_1_1_zero_one.html">ZeroOne<PID_integer></a> <a class="code" href="class_lin_box_1_1_zero_one.html">Matrix</a>;
<span class="keyword">typedef</span> <a name="_a2"></a><a class="code" href="class_lin_box_1_1_giv_polynomial_ring.html" title="Polynomials.">GivPolynomialRing<PID_integer,::Givaro::Dense></a> <a class="code" href="class_lin_box_1_1_giv_polynomial_ring.html" title="Polynomials.">IntPolRing</a>;
<span class="keywordtype">int</span> main (<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> **argv)
{
commentator.<a name="a3"></a>getMessageClass (BRIEF_REPORT).setMaxDepth (2);
commentator.getMessageClass (BRIEF_REPORT).setMaxDetailLevel (Commentator::LEVEL_UNIMPORTANT);
<span class="keywordflow">if</span> (argc != 2) {
cerr << <span class="stringliteral">"Usage: graph-charpoly <matrix-file-in-SMS-format>"</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="comment">//UnparametricField<integer> ZZ;</span>
<a name="_a4"></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 class="code" href="class_lin_box_1_1_zero_one.html">Matrix</a> A(ZZ);
A.read (input);
commentator.<a name="a5"></a><a class="code" href="class_lin_box_1_1_commentator.html#a8dd0050b1bbb1722d2c754d6c85a4ec4" title="Basic reporting.">report</a>(1, BRIEF_REPORT)<< <span class="stringliteral">"A is "</span> << A.rowdim() << <span class="stringliteral">" by "</span> << A.coldim() << endl;
IntPolRing::Element c_A;
charpoly (c_A, A, <a name="_a6"></a><a class="code" href="struct_lin_box_1_1_blackbox_specifier.html" title="BlackboxSpecifier.">Method::Blackbox</a>(<a class="code" href="struct_lin_box_1_1_method.html#a95658bcef98e7d0868b2e35d7ce03392" title="Method::Wiedemann : no doc.">Method::Wiedemann</a>( Specifier::SYMMETRIC)));
cout<< <span class="stringliteral">"Characteristic Polynomial is "</span>;
printPolynomial (ZZ, c_A);
<span class="keywordflow">return</span> 0;
}
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