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SPAR/AIModule/BWTA/vendors/CGAL/CGAL/CORE_BigInt.h
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00001 // Copyright (c) 2006-2008 Max-Planck-Institute Saarbruecken (Germany).
00002 // All rights reserved.
00003 //
00004 // This file is part of CGAL (www.cgal.org); you can redistribute it and/or
00005 // modify it under the terms of the GNU Lesser General Public License as
00006 // published by the Free Software Foundation; version 2.1 of the License.
00007 // See the file LICENSE.LGPL distributed with CGAL.
00008 //
00009 // Licensees holding a valid commercial license may use this file in
00010 // accordance with the commercial license agreement provided with the software.
00011 //
00012 // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
00013 // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
00014 //
00015 // $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Number_types/include/CGAL/CORE_BigInt.h $
00016 // $Id: CORE_BigInt.h 48598 2009-03-31 17:20:16Z pmachado $
00017 //
00018 //
00019 // Author(s)     : Michael Hemmer   <hemmer@mpi-inf.mpg.de>
00020 
00021 
00022 #ifndef CGAL_CORE_BIGINT_H
00023 #define CGAL_CORE_BIGINT_H
00024 
00025 #include <CGAL/number_type_basic.h>
00026 #include <CGAL/CORE_coercion_traits.h>
00027 
00028 #include <CGAL/Residue.h>
00029 #include <CGAL/Modular_traits.h>
00030 
00031 CGAL_BEGIN_NAMESPACE
00032 
00033 template<>
00034 struct Root_of_traits<CORE::BigInt>: public CGALi::Root_of_traits_helper<CORE::BigInt,
00035     Euclidean_ring_tag>{
00036   typedef CORE::BigRat RootOf_1;
00037   typedef CORE::BigRat Root_of_1;
00038 };
00039 
00040 //
00041 // Algebraic structure traits
00042 //
00043 template <> class Algebraic_structure_traits< CORE::BigInt >
00044   : public Algebraic_structure_traits_base< CORE::BigInt,
00045                                             Euclidean_ring_tag >  {
00046   public:
00047     typedef Tag_true            Is_exact;
00048     typedef Tag_false           Is_numerical_sensitive;
00049 
00050     typedef INTERN_AST::Is_square_per_sqrt< Type >
00051                                                                  Is_square;
00052 
00053     typedef INTERN_AST::Div_per_operator< Type > Div;
00054     typedef INTERN_AST::Mod_per_operator< Type > Mod;
00055 
00056     class Sqrt
00057       : public std::unary_function< Type, Type > {
00058       public:
00060         Type operator()( const Type& x) const {
00061           Type result;
00062           mpz_sqrt(result.get_mp(), x.get_mp());
00063           return result;
00064         }
00065     };
00066 
00067 
00068     class Gcd
00069       : public std::binary_function< Type, Type,
00070                                 Type > {
00071       public:
00072         Type operator()( const Type& x,
00073                                         const Type& y) const {
00074           if ( x == Type(0) && y == Type(0) )
00075               return Type(0);
00076           Type result;
00077           mpz_gcd(result.get_mp(), x.get_mp(), y.get_mp());
00078           return result;
00079         }
00080     };
00081 };
00082 
00083 //
00084 // Real embeddable traits
00085 //
00086 template <> class Real_embeddable_traits< CORE::BigInt >
00087   : public INTERN_RET::Real_embeddable_traits_base< CORE::BigInt , CGAL::Tag_true > {
00088 
00089   public:
00090 
00091     class Abs
00092       : public std::unary_function< Type, Type > {
00093       public:
00094         Type operator()( const Type& x ) const {
00095           return CORE::abs( x );
00096         }
00097     };
00098 
00099     class Sgn
00100       : public std::unary_function< Type, ::CGAL::Sign > {
00101       public:
00102         ::CGAL::Sign operator()( const Type& x ) const {
00103           return (::CGAL::Sign) CORE::sign( x );
00104         }
00105     };
00106 
00107     class Compare
00108       : public std::binary_function< Type, Type,
00109                                 Comparison_result > {
00110       public:
00111         Comparison_result operator()( const Type& x,
00112                                             const Type& y ) const {
00113           return CGAL::sign(::CORE::cmp(x,y));
00114         }
00115     };
00116 
00117     class To_double
00118       : public std::unary_function< Type, double > {
00119       public:
00120         double operator()( const Type& x ) const {
00121           // this call is required to get reasonable values for the double
00122           // approximation
00123           return x.doubleValue();
00124         }
00125     };
00126 
00127     class To_interval
00128       : public std::unary_function< Type, std::pair< double, double > > {
00129       public:
00130         std::pair<double, double> operator()( const Type& x_ ) const {
00131             CORE::Expr x(x_);
00132             std::pair<double,double> result;
00133             x.doubleInterval(result.first, result.second);
00134             CGAL_expensive_assertion(result.first  <= x);
00135             CGAL_expensive_assertion(result.second >= x);
00136             return result;
00137         }
00138     };
00139 };
00140 
00145 template<>
00146 class Modular_traits< ::CORE::BigInt > {
00147   typedef Residue RES;
00148  public:
00149     typedef ::CORE::BigInt NT;
00150     typedef CGAL::Tag_true Is_modularizable;
00151     typedef Residue Residue_type;
00152 
00153     struct Modular_image{
00154         Residue_type operator()(const NT& a){
00155             NT tmp = a % NT(RES::get_current_prime());
00156 // TODO: reactivate this assertion
00157 // it fails with core_v1.6x_20040329
00158 //            NiX_assert(tmp.isInt());
00159             int mi(tmp.longValue());
00160             if (mi < 0) mi += RES::get_current_prime();
00161             return Residue_type(mi);
00162         }
00163     };
00164     struct Modular_image_representative{
00165         NT operator()(const Residue_type& x){
00166             return NT(x.get_value());
00167         }
00168     };    
00169 };
00170 
00171 
00172 template<>
00173 struct Needs_parens_as_product<CORE::BigInt>{
00174     bool operator()(const CORE::BigInt& x){
00175         return CGAL_NTS is_negative(x);
00176     }
00177 };
00178 
00179 // Benchmark_rep specialization 
00180 template<>
00181 class Benchmark_rep< CORE::BigInt > {
00182     const CORE::BigInt& t;
00183 public:
00185     Benchmark_rep( const CORE::BigInt& tt) : t(tt) {}
00187     std::ostream& operator()( std::ostream& out) const { 
00188             out << t;
00189             return out;
00190     }
00191     
00192     static std::string get_benchmark_name() {
00193         return "Integer";
00194     }
00195 };
00196 
00197 
00198 CGAL_END_NAMESPACE
00199 
00200 //since types are included by CORE_coercion_traits.h:
00201 #include <CGAL/CORE_Expr.h>
00202 #include <CGAL/CORE_BigInt.h>
00203 #include <CGAL/CORE_BigRat.h>
00204 #include <CGAL/CORE_BigFloat.h>
00205 
00206 #endif // CGAL_CORE_BIGINT_H
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