libcgal-dev 4.11-2build1 / usr / include / CGAL / Polynomial / fwd.h

This file is indexed.

/usr/include/CGAL/Polynomial/fwd.h is in libcgal-dev 4.11-2build1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below. 

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
// Copyright (c) 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; either version 3 of the License,
// or (at your option) any later version.
//
// 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.
//
// $URL$
// $Id$
//
//
// Author(s)     : Michael Hemmer 
// ============================================================================


#ifndef CGAL_POLYNOMIAL_FWD_H
#define CGAL_POLYNOMIAL_FWD_H

#include <CGAL/basic.h>

namespace CGAL{

template <class NT> class Polynomial; 

namespace internal{
template <class NT> inline Polynomial<NT> gcd_(const Polynomial<NT>&, const Polynomial<NT>&);
template <class NT> inline Polynomial<NT> gcd_(const Polynomial<NT>&, const Polynomial<NT>&, Field_tag);
template <class NT> inline Polynomial<NT> gcd_(const Polynomial<NT>&, const Polynomial<NT>&, Unique_factorization_domain_tag);


template <class NT> inline NT gcd_utcf_(const NT& /*a*/, const NT& /*b*/){return NT(1);}
template <class NT> inline Polynomial<NT> gcd_utcf_(const Polynomial<NT>&, const Polynomial<NT>&);
template <class NT> inline Polynomial<NT> gcd_utcf_UFD( Polynomial<NT> , Polynomial<NT>) ;
template <class NT> inline Polynomial<NT> gcd_utcf_Integral_domain(Polynomial<NT>, Polynomial<NT>);
template <class NT> inline Polynomial<NT> gcd_Euclidean_ring(Polynomial<NT>, Polynomial<NT>); 

template <class NT> inline Polynomial<NT> modular_gcd_utcf(const Polynomial<NT>&, const Polynomial<NT>&, Integral_domain_tag);
template <class NT> inline Polynomial<NT> modular_gcd_utcf(const Polynomial<NT>&, const Polynomial<NT>&, Unique_factorization_domain_tag);

// is fraction ? 
template <class NT> inline Polynomial<NT> gcd_utcf_is_fraction_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_true); 
template <class NT> inline Polynomial<NT> gcd_utcf_is_fraction_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_false);

// is type modularizable 
template <class NT> inline Polynomial<NT> gcd_utcf_modularizable_algebra_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_false, Integral_domain_tag);
template <class NT> inline Polynomial<NT> gcd_utcf_modularizable_algebra_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_false, Unique_factorization_domain_tag);
template <class NT> inline Polynomial<NT> gcd_utcf_modularizable_algebra_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_false, Euclidean_ring_tag);

template <class NT> inline Polynomial<NT> gcd_utcf_modularizable_algebra_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_true, Integral_domain_tag);
template <class NT> inline Polynomial<NT> gcd_utcf_modularizable_algebra_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_true, Unique_factorization_domain_tag);
template <class NT> inline Polynomial<NT> gcd_utcf_modularizable_algebra_( const Polynomial<NT>&, const Polynomial<NT>&, ::CGAL::Tag_true, Euclidean_ring_tag);


// template <class NT> inline NT content_utcf(const Polynomial<NT>&);
template <class NT> inline NT content_utcf_(const Polynomial<NT>&);

template <class NT, class OutputIterator1, class OutputIterator2> 
inline int filtered_square_free_factorize( Polynomial<NT>, OutputIterator1, OutputIterator2);
template <class NT,  class OutputIterator1, class OutputIterator2> 
inline int filtered_square_free_factorize_utcf( const Polynomial<NT>&, OutputIterator1, OutputIterator2);

template <class Coeff,  class OutputIterator1, class OutputIterator2>
inline int square_free_factorize_utcf(const Polynomial<Coeff>&, OutputIterator1, OutputIterator2);
template <class Coeff,  class OutputIterator1, class OutputIterator2>
inline int square_free_factorize_utcf_for_regular_polynomial(const Polynomial<Coeff>&, OutputIterator1, OutputIterator2);

template <class Coeff,  class OutputIterator1, class OutputIterator2>
inline int square_free_factorize(const Polynomial<Coeff>&, OutputIterator1, OutputIterator2);
template <class Coeff,  class OutputIterator1, class OutputIterator2>
inline int square_free_factorize_for_regular_polynomial(const Polynomial<Coeff>&, OutputIterator1, OutputIterator2);

template <class NT> inline bool may_have_multiple_factor( const Polynomial<NT>&);
template <class NT> inline bool may_have_common_factor(const Polynomial<NT>&,const Polynomial<NT>&);

// eliminates outermost variable
template <class Coeff> 
inline Coeff resultant( 
    const CGAL::Polynomial<Coeff>&, const CGAL::Polynomial<Coeff>&);
// eliminates innermost variable 
template <class Coeff> 
inline Coeff resultant_( 
    const CGAL::Polynomial<Coeff>&, const CGAL::Polynomial<Coeff>&);
  


template< class Coeff >
struct Simple_matrix;

template<class NT>
internal::Simple_matrix<NT> polynomial_subresultant_matrix(
                                               CGAL::Polynomial<NT> f,
					       CGAL::Polynomial<NT> g,
					       int d=0);

template <typename Polynomial_traits_d,typename OutputIterator> inline
OutputIterator polynomial_subresultants
(typename Polynomial_traits_d::Polynomial_d A, 
 typename Polynomial_traits_d::Polynomial_d B,
 OutputIterator out);


template <typename Polynomial_traits_d,typename OutputIterator> inline
OutputIterator principal_subresultants
(typename Polynomial_traits_d::Polynomial_d A, 
 typename Polynomial_traits_d::Polynomial_d B,
 OutputIterator out);

template<typename Polynomial_traits_d,
    typename OutputIterator1, 
    typename OutputIterator2,
    typename OutputIterator3>
OutputIterator1 polynomial_subresultants_with_cofactors
(typename Polynomial_traits_d::Polynomial_d P,
 typename Polynomial_traits_d::Polynomial_d Q,
 OutputIterator1 sres_out,
 OutputIterator2 coP_out,
 OutputIterator3 coQ_out);


template <typename Polynomial_traits_d,typename OutputIterator> inline
OutputIterator
principal_sturm_habicht_sequence
(typename Polynomial_traits_d::Polynomial_d A, 
 OutputIterator out);



template<typename Polynomial_traits_d,typename OutputIterator> OutputIterator
sturm_habicht_sequence(typename Polynomial_traits_d::Polynomial_d P, 
                       OutputIterator out);

template<typename Polynomial_traits_d,
    typename OutputIterator1,
    typename OutputIterator2,
    typename OutputIterator3> 
OutputIterator1
sturm_habicht_sequence_with_cofactors
(typename Polynomial_traits_d::Polynomial_d P,
       OutputIterator1 out_stha,
 OutputIterator2 out_f,
 OutputIterator3 out_fx);

} // namespace internal


} // namespace CGAL


#include <CGAL/Polynomial.h>

#endif

APT Browse - Built by Thomas Orozco.