SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Polynomial/modular_gcd_utils.h

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// Copyright (c) 2002-2008 Max-Planck-Institute Saarbruecken (Germany)
//
// This file is part of CGAL (www.cgal.org); 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; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Polynomial/include/CGAL/Polynomial/modular_gcd_utils.h $
// $Id: modular_gcd_utils.h 47300 2008-12-09 10:48:07Z hemmer $
//
//
// Author(s)     : Michael Hemmer <hemmer@mpi-inf.mpg.de>
//                 Dominik Huelse  <dominik.huelse@gmx.de>
//                 
// ============================================================================

#ifndef CGAL_POLYNOMIAL_MODULAR_GCD_UTILS_H
#define CGAL_POLYNOMIAL_MODULAR_GCD_UTILS_H

#include <CGAL/basic.h>
#include <vector>
#include <CGAL/Polynomial.h>

#include <CGAL/Timer.h>

namespace CGAL{

namespace CGALi { 

template <class NT>
void euclidean_division_obstinate(const NT& F1, const NT& F2, 
        NT& Q, NT& R){

    CGAL_precondition(F2 != 0);
    
    CGAL::div_mod(F1, F2, Q, R);
    CGAL_postcondition(F1 == F2*Q + R);
}


template <class NT>
void euclidean_division_obstinate(const Polynomial<NT>& F1, 
        const Polynomial<NT>& F2, 
        Polynomial<NT>& Q, Polynomial<NT>& R){

//    std::cout<<" my_modular_gcd_utils "<<std::endl;
    CGAL_precondition(!F2.is_zero());
    int d1 = F1.degree();
    int d2 = F2.degree();
    if ( d1 < d2 ) {
        Q = Polynomial<NT>(NT(0)); R = F1;
        CGAL_postcondition( !(boost::is_same< typename Algebraic_structure_traits<NT>::Is_exact, 
                        CGAL::Tag_true >::value) ||  F1 == Q*F2 + R); return;
    }
    
    typedef std::vector<NT> Vector;
    Vector V_R, V_Q;    
    V_Q.reserve(d1);
    if(d2==0){
        for(int i=d1;i>=0;--i){      
            V_Q.push_back(F1[i]/F2[0]);
        }
        V_R.push_back(NT(0));
    }
    else{        
        V_R.reserve(d1);
        V_R=Vector(F1.begin(),F1.end());
        Vector tmp1;
        tmp1.reserve(d2);
        for(int k=0; k<=d1-d2; ++k){
            V_Q.push_back(V_R[d1-k]/F2[d2]);  
            for(int j=0;j<d2;++j){   
                tmp1.push_back(F2[j]*V_Q[k]);
            }   
            V_R[d1-k]=0;            
            for(int i=d1-d2-k;i<=d1-k-1;++i){
                V_R[i]=V_R[i]-tmp1[i-(d1-d2-k)];
            }   
            tmp1.clear();
        }
        

    }
    Q = Polynomial<NT>(V_Q.rbegin(),V_Q.rend());
    R = Polynomial<NT>(V_R.begin(),V_R.end());
    CGAL_postcondition(F1 == F2*Q + R);
}

} // namespace CGALi
} // namespace CGAL

#endif //#ifnedef CGAL_POLYNOMIAL_MODULAR_GCD_UTILS_H 1

// EOF