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SPAR/AIModule/BWTA/vendors/CGAL/CGAL/leda_bigfloat.h
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00001 
00002 // Copyright (c) 1999,2007  Utrecht University (The Netherlands),
00003 // ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
00004 // INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
00005 // (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
00006 // and Tel-Aviv University (Israel).  All rights reserved.
00007 //
00008 // This file is part of CGAL (www.cgal.org); you can redistribute it and/or
00009 // modify it under the terms of the GNU Lesser General Public License as
00010 // published by the Free Software Foundation; version 2.1 of the License.
00011 // See the file LICENSE.LGPL distributed with CGAL.
00012 //
00013 // Licensees holding a valid commercial license may use this file in
00014 // accordance with the commercial license agreement provided with the software.
00015 //
00016 // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
00017 // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
00018 //
00019 // $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Number_types/include/CGAL/leda_bigfloat.h $
00020 // $Id: leda_bigfloat.h 45636 2008-09-18 15:35:55Z hemmer $
00021 //
00022 //
00023 // Author(s)     : Stefan Schirra, Michael Hemmer
00024 
00025 #ifndef CGAL_LEDA_BIGFLOAT_H
00026 #define CGAL_LEDA_BIGFLOAT_H
00027 
00028 #include <CGAL/basic.h>
00029 
00030 #ifdef CGAL_USE_LEDA
00031 
00032 #include <utility>
00033 #include <CGAL/leda_coercion_traits.h>
00034 #include <CGAL/Interval_nt.h>
00035 
00036 #include <CGAL/LEDA_basic.h>
00037 #if CGAL_LEDA_VERSION < 500
00038 #include <LEDA/bigfloat.h>
00039 #else
00040 #include <LEDA/numbers/bigfloat.h>
00041 #endif
00042 
00043 CGAL_BEGIN_NAMESPACE
00044 
00045 template <> class Algebraic_structure_traits< leda_bigfloat >
00046   : public Algebraic_structure_traits_base< leda_bigfloat,
00047                                             Field_with_kth_root_tag >  {
00048   public:
00049     typedef Tag_false           Is_exact;
00050     typedef Tag_true            Is_numerical_sensitive;
00051 
00052     class Sqrt
00053       : public std::unary_function< Type, Type > {
00054       public:
00055         Type operator()( const Type& x ) const {
00056           return CGAL_LEDA_SCOPE::sqrt( x );
00057         }
00058     };
00059 
00060     class Kth_root
00061       : public std::binary_function<int, Type, Type> {
00062       public:
00063         Type operator()( int k,
00064                                         const Type& x) const {
00065             CGAL_precondition_msg(k > 0, "'k' must be positive for k-th roots");
00066             // heuristic: we ask for as many precision as the argument has
00067             long d = x.get_significant_length();
00068             if ( d < 53) // O.K. we want at least double precision
00069                 d = 53;
00070             return CGAL_LEDA_SCOPE::sqrt_d( x, d, k);
00071         }
00072     };
00073 
00074 };
00075 
00076 template <> class Real_embeddable_traits< leda_bigfloat >
00077   : public INTERN_RET::Real_embeddable_traits_base< leda_bigfloat , CGAL::Tag_true > {
00078 public:
00079   
00080     class Abs
00081       : public std::unary_function< Type, Type > {
00082       public:
00083         Type operator()( const Type& x ) const {
00084             return CGAL_LEDA_SCOPE::abs( x );
00085         }
00086     };
00087 
00088     class Sgn
00089       : public std::unary_function< Type, ::CGAL::Sign > {
00090       public:
00091         ::CGAL::Sign operator()( const Type& x ) const {
00092           return (::CGAL::Sign) CGAL_LEDA_SCOPE::sign( x );
00093         }
00094     };
00095 
00096     class Compare
00097       : public std::binary_function< Type, Type,
00098                                 Comparison_result > {
00099       public:
00100         Comparison_result operator()( const Type& x,
00101                                             const Type& y ) const {
00102           return (Comparison_result) CGAL_LEDA_SCOPE::compare( x, y );
00103         }
00104         
00105         CGAL_IMPLICIT_INTEROPERABLE_BINARY_OPERATOR_WITH_RT( Type, 
00106                 Comparison_result ); 
00107     };
00108 
00109     class To_double
00110       : public std::unary_function< Type, double > {
00111       public:
00112         double operator()( const Type& x ) const {
00113           return x.to_double();
00114         }
00115     };
00116 
00117     class To_interval
00118       : public std::unary_function< Type, std::pair< double, double > > {
00119       public:
00120         std::pair<double, double> operator()( const Type& x ) const {
00121 
00122           // assuming leda_bigfloat guarantee 1 bit error max
00123           Protect_FPU_rounding<true> P (CGAL_FE_TONEAREST);
00124           Interval_nt_advanced approx (CGAL_LEDA_SCOPE::to_double(x));
00125           FPU_set_cw(CGAL_FE_UPWARD);
00126           approx += Interval_nt<false>::smallest();
00127           return approx.pair();
00128         }
00129     };
00130 
00131     class Is_finite
00132       : public std::unary_function< Type, bool > {
00133       public:
00134         bool operator()( const Type& x )  const {
00135           return !( CGAL_LEDA_SCOPE::isInf(x) || CGAL_LEDA_SCOPE::isNaN(x) );
00136         }
00137     };
00138 };
00139 
00140 template<>
00141 class Is_valid< leda_bigfloat >
00142   : public std::unary_function< leda_bigfloat, bool > {
00143   public :
00144     bool operator()( const leda_bigfloat& x ) const {
00145       return !( CGAL_LEDA_SCOPE::isNaN(x) );
00146     }
00147 };
00148 
00149 
00150 CGAL_END_NAMESPACE
00151 
00152 // Unary + is missing for leda::bigfloat
00153 namespace leda {
00154     inline bigfloat operator+( const bigfloat& i) { return i; }
00155 } // namespace leda
00156 
00157 //since types are included by leda_coercion_traits.h:
00158 #include <CGAL/leda_integer.h>
00159 #include <CGAL/leda_rational.h>
00160 #include <CGAL/leda_bigfloat.h>
00161 #include <CGAL/leda_real.h>
00162 
00163 #endif // CGAL_USE_LEDA
00164 
00165 #endif // CGAL_LEDA_BIGFLOAT_H
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