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unified traits class models for dD optimisation algorithms

This commit is contained in:
Sven Schönherr 2000-09-26 10:39:55 +00:00
parent 0d8e442219
commit 542910c0ab
5 changed files with 41 additions and 416 deletions
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17
Packages/Polytope_distance_d/doc_tex/Optimisation/Optimisation_ref/Polytope_distance_d.tex
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@ -58,12 +58,11 @@ operation.
\ccRequirements \ccRequirements
\ccIndexRequirements \ccIndexRequirements
The template parameter \ccc{Traits} is a model for The template parameter \ccc{Traits} is a model for \ccc{Optimisation_d_traits}.
\ccc{Polytope_distance_d_traits}.
We provide the models \ccc{Polytope_distance_d_traits_2}, We provide the models \ccc{Optimisation_d_traits_2},
\ccc{Polytope_distance_d_traits_3}, and \ccc{Polytope_distance_d_traits_d} \ccc{Optimisation_d_traits_3}, and \ccc{Optimisation_d_traits_d} using the
using the two-, three-, and $d$-dimensional \cgal~kernel, respectively. two-, three-, and $d$-dimensional \cgal~kernel, respectively.
% ----------------------------------------------------------------------------- % -----------------------------------------------------------------------------
\ccTypes \ccTypes
@ -409,10 +408,10 @@ An object \ccVar\ is valid, iff
% ----------------------------------------------------------------------------- % -----------------------------------------------------------------------------
\ccSeeAlso \ccSeeAlso
\ccRefIdfierPage{CGAL::Polytope_distance_d_traits_2<R,ET,NT>}\\ \ccRefIdfierPage{CGAL::Optimisation_d_traits_2<R,ET,NT>}\\
\ccRefIdfierPage{CGAL::Polytope_distance_d_traits_3<R,ET,NT>}\\ \ccRefIdfierPage{CGAL::Optimisation_d_traits_3<R,ET,NT>}\\
\ccRefIdfierPage{CGAL::Polytope_distance_d_traits_d<R,ET,NT>}\\[1ex] \ccRefIdfierPage{CGAL::Optimisation_d_traits_d<R,ET,NT>}\\[1ex]
\ccRefConceptPage{Polytope_distance_d_traits} \ccRefConceptPage{Optimisation_d_traits}
% ----------------------------------------------------------------------------- % -----------------------------------------------------------------------------
\ccImplementation \ccImplementation

6
Packages/Polytope_distance_d/doc_tex/Optimisation/Optimisation_ref/main_Polytope_distance_d.tex
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@ -18,10 +18,4 @@
\inputOpt{Polytope_distance_d} \inputOpt{Polytope_distance_d}
\inputOpt{Polytope_distance_d_traits_2}
\inputOpt{Polytope_distance_d_traits_3}
\inputOpt{Polytope_distance_d_traits_d}
\inputOpt{Polytope_distance_d_traits}
% ===== EOF =================================================================== % ===== EOF ===================================================================

17
Packages/Polytope_distance_d/doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d.tex
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@ -58,12 +58,11 @@ operation.
\ccRequirements \ccRequirements
\ccIndexRequirements \ccIndexRequirements
The template parameter \ccc{Traits} is a model for The template parameter \ccc{Traits} is a model for \ccc{Optimisation_d_traits}.
\ccc{Polytope_distance_d_traits}.
We provide the models \ccc{Polytope_distance_d_traits_2}, We provide the models \ccc{Optimisation_d_traits_2},
\ccc{Polytope_distance_d_traits_3}, and \ccc{Polytope_distance_d_traits_d} \ccc{Optimisation_d_traits_3}, and \ccc{Optimisation_d_traits_d} using the
using the two-, three-, and $d$-dimensional \cgal~kernel, respectively. two-, three-, and $d$-dimensional \cgal~kernel, respectively.
% ----------------------------------------------------------------------------- % -----------------------------------------------------------------------------
\ccTypes \ccTypes
@ -409,10 +408,10 @@ An object \ccVar\ is valid, iff
% ----------------------------------------------------------------------------- % -----------------------------------------------------------------------------
\ccSeeAlso \ccSeeAlso
\ccRefIdfierPage{CGAL::Polytope_distance_d_traits_2<R,ET,NT>}\\ \ccRefIdfierPage{CGAL::Optimisation_d_traits_2<R,ET,NT>}\\
\ccRefIdfierPage{CGAL::Polytope_distance_d_traits_3<R,ET,NT>}\\ \ccRefIdfierPage{CGAL::Optimisation_d_traits_3<R,ET,NT>}\\
\ccRefIdfierPage{CGAL::Polytope_distance_d_traits_d<R,ET,NT>}\\[1ex] \ccRefIdfierPage{CGAL::Optimisation_d_traits_d<R,ET,NT>}\\[1ex]
\ccRefConceptPage{Polytope_distance_d_traits} \ccRefConceptPage{Optimisation_d_traits}
% ----------------------------------------------------------------------------- % -----------------------------------------------------------------------------
\ccImplementation \ccImplementation

6
Packages/Polytope_distance_d/doc_tex/basic/Optimisation/Optimisation_ref/main_Polytope_distance_d.tex
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@ -18,10 +18,4 @@
\inputOpt{Polytope_distance_d} \inputOpt{Polytope_distance_d}
\inputOpt{Polytope_distance_d_traits_2}
\inputOpt{Polytope_distance_d_traits_3}
\inputOpt{Polytope_distance_d_traits_d}
\inputOpt{Polytope_distance_d_traits}
% ===== EOF =================================================================== % ===== EOF ===================================================================

411
Packages/Polytope_distance_d/web/Polytope_distance_d.aw
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@ -107,7 +107,7 @@
\newlength{\defaultparskip} \newlength{\defaultparskip}
\setlength{\defaultparskip}{\parskip} \setlength{\defaultparskip}{\parskip}
\setlength{\parskip}{.7ex} \setlength{\parskip}{1ex}
\tableofcontents \tableofcontents
@ -171,7 +171,7 @@ value of the objective function at $x^*$.
\emph{Note:} Below some references are undefined, they refer to sections \emph{Note:} Below some references are undefined, they refer to sections
in the \cgal\ Reference Manual. in the \cgal\ Reference Manual.
@p maximum_input_line_length = 87 @p maximum_input_line_length = 102
@! ---------------------------------------------------------------------------- @! ----------------------------------------------------------------------------
@! Class: Polytope_distance_d @! Class: Polytope_distance_d
@ -181,35 +181,11 @@ in the \cgal\ Reference Manual.
\input{../doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d.tex} \input{../doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d.tex}
@! ---------------------------------------------------------------------------- @! ----------------------------------------------------------------------------
@! Class: Polytope_distance_d_traits_2 @! Concept: Optimisation_d_traits
@! ---------------------------------------------------------------------------- @! ----------------------------------------------------------------------------
\subsectionRef{Class}{% \subsectionRef{Concept}{Optimisation\_d\_traits}
CGAL::Polytope\_distance\_d\_traits\_2\texttt{<}R,ET,NT\texttt{>}} \input{../../Optimisation_basic/doc_tex/basic/Optimisation/Optimisation_ref/Optimisation_d_traits.tex}
\input{../doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d_traits_2.tex}
@! ----------------------------------------------------------------------------
@! Class: Polytope_distance_d_traits_3
@! ----------------------------------------------------------------------------
\subsectionRef{Class}{%
CGAL::Polytope\_distance\_d\_traits\_3\texttt{<}R,ET,NT\texttt{>}}
\input{../doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d_traits_3.tex}
@! ----------------------------------------------------------------------------
@! Class: Polytope_distance_d_traits_d
@! ----------------------------------------------------------------------------
\subsectionRef{Class}{%
CGAL::Polytope\_distance\_d\_traits\_d\texttt{<}R,ET,NT\texttt{>}}
\input{../doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d_traits_d.tex}
@! ----------------------------------------------------------------------------
@! Concept: Polytope_distance_d_traits
@! ----------------------------------------------------------------------------
\subsectionRef{Concept}{Polytope\_distance\_d\_traits}
\input{../doc_tex/basic/Optimisation/Optimisation_ref/Polytope_distance_d_traits.tex}
@p maximum_input_line_length = 80 @p maximum_input_line_length = 80
@ -229,12 +205,8 @@ in the \cgal\ Reference Manual.
CGAL::Polytope\_distance\_d\texttt{<}Traits\texttt{>}} CGAL::Polytope\_distance\_d\texttt{<}Traits\texttt{>}}
The class template \ccc{Polytope_distance_d} expects a model of the concept The class template \ccc{Polytope_distance_d} expects a model of the concept
\ccc{Polytope_distance_d_traits} (see \ccc{Optimisation_d_traits} (see
Section~\ref{ccRef_Polytope_distance_d_traits}.1) as its template argument. Section~\ref{ccRef_Optimisation_d_traits}.2) as its template argument.
Available models are described in
Sections~\ref{sec:Polytope_distance_d_traits_2},
\ref{sec:Polytope_distance_d_traits_3},
and~\ref{sec:Polytope_distance_d_traits_d} below.
@macro <Poly_dist_d declarations> += @begin @macro <Poly_dist_d declarations> += @begin
template < class Traits_ > template < class Traits_ >
@ -242,8 +214,8 @@ and~\ref{sec:Polytope_distance_d_traits_d} below.
@end @end
The interface consists of the public types and member functions described The interface consists of the public types and member functions described
in Section~\ref{ccRef_CGAL::Polytope_distance_d<Traits>}.2 and of some private in Section~\ref{ccRef_CGAL::Polytope_distance_d<Traits>}.1 and of some
types, private member functions, and data members. private types, private member functions, and data members.
@macro <Poly_dist_d interface> = @begin @macro <Poly_dist_d interface> = @begin
template < class Traits_ > template < class Traits_ >
@ -1415,222 +1387,6 @@ realizing the distance.
@end @end
@! ============================================================================
@! Traits Class Models
@! ============================================================================
\clearpage
\section{Traits Class Models} \label{sec:traits_class_models}
@! ----------------------------------------------------------------------------
@! The Class Template CGAL::Polytope_distance_d_traits_2<R,ET,NT>
@! ----------------------------------------------------------------------------
\subsection{The Class Template \ccFont
CGAL::Polytope\_distance\_d\_traits\_2\texttt{<}R,ET,NT\texttt{>}}
\label{sec:Polytope_distance_d_traits_2}
The first template argument of \ccc{Polytope_distance_d_traits_2} is
expected to be a \cgal\ representation class. The second and third
template argument are expected to be number types fulfilling the
requirements of a \cgal\ number type. They have default type
\ccc{R::RT}.
@macro <Poly_dist_d_traits_2 declaration> = @begin
template < class R_, class ET_ = CGAL_TYPENAME_MSVC_NULL R_::RT,
class NT_ = CGAL_TYPENAME_MSVC_NULL R_::RT >
class Polytope_distance_d_traits_2;
@end
The interface consists of the types and member functions described in
Section~\ref{ccRef_CGAL::Polytope_distance_d_traits_2<R,ET,NT>}.3.
@macro <Poly_dist_d_traits_2 interface> = @begin
template < class R_, class ET_, class NT_>
class Polytope_distance_d_traits_2 {
public:
// self
typedef R_ R;
typedef ET_ ET;
typedef NT_ NT;
typedef Polytope_distance_d_traits_2<R,ET,NT>
Self;
// types
typedef typename R::Point_2 Point_d;
typedef typename R::Rep_tag Rep_tag;
typedef typename R::RT RT;
typedef typename R::FT FT;
typedef Access_dimension_2<R> Access_dimension_d;
typedef Access_coordinates_begin_2<R>
Access_coordinates_begin_d;
typedef typename R::Construct_point_2
Construct_point_d;
// creation
Polytope_distance_d_traits_2( ) { }
Polytope_distance_d_traits_2(
const Polytope_distance_d_traits_2<R_,ET_,NT_>&) { }
// operations
Access_dimension_d
access_dimension_d_object( ) const
{ return Access_dimension_d(); }
Access_coordinates_begin_d
access_coordinates_begin_d_object( ) const
{ return Access_coordinates_begin_d(); }
Construct_point_d
construct_point_d_object( ) const
{ return Construct_point_d(); }
};
@end
@! ----------------------------------------------------------------------------
@! The Class Template CGAL::Polytope_distance_d_traits_3<R,ET,NT>
@! ----------------------------------------------------------------------------
\subsection{The Class Template \ccFont
CGAL::Polytope\_distance\_d\_traits\_3\texttt{<}R,ET,NT\texttt{>}}
\label{sec:Polytope_distance_d_traits_3}
The first template argument of \ccc{Polytope_distance_d_traits_3} is
expected to be a \cgal\ representation class. The second and third
template argument are expected to be number types fulfilling the
requirements of a \cgal\ number type. They have default type
\ccc{R::RT}.
@macro <Poly_dist_d_traits_3 declaration> = @begin
template < class R_, class ET_ = CGAL_TYPENAME_MSVC_NULL R_::RT,
class NT_ = CGAL_TYPENAME_MSVC_NULL R_::RT >
class Polytope_distance_d_traits_3;
@end
The interface consists of the types and member functions described in
Section~\ref{ccRef_CGAL::Polytope_distance_d_traits_3<R,ET,NT>}.4.
@macro <Poly_dist_d_traits_3 interface> = @begin
template < class R_, class ET_, class NT_>
class Polytope_distance_d_traits_3 {
public:
// self
typedef R_ R;
typedef ET_ ET;
typedef NT_ NT;
typedef Polytope_distance_d_traits_3<R,ET,NT>
Self;
// types
typedef typename R::Point_3 Point_d;
typedef typename R::Rep_tag Rep_tag;
typedef typename R::RT RT;
typedef typename R::FT FT;
typedef Access_dimension_3<R> Access_dimension_d;
typedef Access_coordinates_begin_3<R>
Access_coordinates_begin_d;
typedef typename R::Construct_point_3
Construct_point_d;
// creation
Polytope_distance_d_traits_3( ) { }
Polytope_distance_d_traits_3(
const Polytope_distance_d_traits_3<R_,ET_,NT_>&) { }
// operations
Access_dimension_d
access_dimension_d_object( ) const
{ return Access_dimension_d(); }
Access_coordinates_begin_d
access_coordinates_begin_d_object( ) const
{ return Access_coordinates_begin_d(); }
Construct_point_d
construct_point_d_object( ) const
{ return Construct_point_d(); }
};
@end
@! ----------------------------------------------------------------------------
@! The Class Template CGAL::Polytope_distance_d_traits_d<R,ET,NT>
@! ----------------------------------------------------------------------------
\subsection{The Class Template \ccFont
CGAL::Polytope\_distance\_d\_traits\_d\texttt{<}R,ET,NT\texttt{>}}
\label{sec:Polytope_distance_d_traits_d}
The first template argument of \ccc{Polytope_distance_d_traits_d} is
expected to be a \cgal\ representation class. The second and third
template argument are expected to be number types fulfilling the
requirements of a \cgal\ number type. They have default type
\ccc{R::RT}.
@macro <Poly_dist_d_traits_d declaration> = @begin
template < class R_, class ET_ = CGAL_TYPENAME_MSVC_NULL R_::RT,
class NT_ = CGAL_TYPENAME_MSVC_NULL R_::RT >
class Polytope_distance_d_traits_d;
@end
The interface consists of the types and member functions described in
Section~\ref{ccRef_CGAL::Polytope_distance_d_traits_d<R,ET,NT>}.5.
@macro <Poly_dist_d_traits_d interface> = @begin
template < class R_, class ET_, class NT_>
class Polytope_distance_d_traits_d {
public:
// self
typedef R_ R;
typedef ET_ ET;
typedef NT_ NT;
typedef Polytope_distance_d_traits_d<R,ET,NT>
Self;
// types
typedef typename R::Point_d Point_d;
typedef typename R::Rep_tag Rep_tag;
typedef typename R::RT RT;
typedef typename R::FT FT;
typedef Access_dimension_d<R> Access_dimension_d;
typedef Access_coordinates_begin_d<R>
Access_coordinates_begin_d;
typedef Construct_point_d<R> Construct_point_d;
// creation
Polytope_distance_d_traits_d( ) { }
Polytope_distance_d_traits_d(
const Polytope_distance_d_traits_d<R_,ET_,NT_>&) { }
// operations
Access_dimension_d
access_dimension_d_object( ) const
{ return Access_dimension_d(); }
Access_coordinates_begin_d
access_coordinates_begin_d_object( ) const
{ return Access_coordinates_begin_d(); }
Construct_point_d
construct_point_d_object( ) const
{ return Construct_point_d(); }
};
@end
@! ============================================================================ @! ============================================================================
@! Test Programs @! Test Programs
@! ============================================================================ @! ============================================================================
@ -1806,11 +1562,15 @@ standard error stream.
\subsection{Traits Class Models} \subsection{Traits Class Models}
All three traits class models are tested twice, firstly with one exact We perform the tests with the traits class models
number type (the ``default'' use) and secondly with three different number \ccc{Optimisation_d_traits_2}, \ccc{Optimisation_d_traits_3}, and
types (the ``advanced'' use). Since the current implementation of the \ccc{Optimisation_d_traits_d} based on the two-, three-, and
underlying quadratic programming solver can only handle input points with $d$-dimensional \cgal~kernel. All three traits class models are used twice,
Cartesian representation, we use \cgal's Cartesian kernel for testing. firstly with one exact number type (the ``default'' use) and secondly with
three different number types (the ``advanced'' use). Since the current
implementation of the underlying linear programming solver can only handle
input points with Cartesian representation, we use \cgal's Cartesian kernel
for testing.
Some of the following macros are parameterized with the dimension, Some of the following macros are parameterized with the dimension,
e.g.~with $2$, $3$, or $d$. e.g.~with $2$, $3$, or $d$.
@ -1819,7 +1579,7 @@ e.g.~with $2$, $3$, or $d$.
#include <CGAL/Cartesian.h> #include <CGAL/Cartesian.h>
#include <CGAL/Point_@1.h> #include <CGAL/Point_@1.h>
#include <CGAL/Polytope_distance_d.h> #include <CGAL/Polytope_distance_d.h>
#include <CGAL/Polytope_distance_d_traits_@1.h> #include <CGAL/Optimisation_d_traits_@1.h>
@end @end
We use the number type \ccc{leda_integer} from \leda{} for the first We use the number type \ccc{leda_integer} from \leda{} for the first
@ -1830,10 +1590,10 @@ variant.
// test variant 1 (needs LEDA) // test variant 1 (needs LEDA)
#ifdef CGAL_USE_LEDA #ifdef CGAL_USE_LEDA
# include <CGAL/leda_integer.h> # include <CGAL/leda_integer.h>
typedef CGAL::Cartesian<leda_integer> R_1; typedef CGAL::Cartesian<leda_integer> R_1;
typedef CGAL::Polytope_distance_d_traits_@1<R_1> Traits_1; typedef CGAL::Optimisation_d_traits_@1<R_1> Traits_1;
# define TEST_VARIANT_1 \ # define TEST_VARIANT_1 \
"Polytope_distance_d_traits_@1< Cartesian<leda_integer> >" "Optimisation_d_traits_@1< Cartesian<leda_integer> >"
CGAL_DEFINE_ITERATOR_TRAITS_POINTER_SPEC( leda_integer) CGAL_DEFINE_ITERATOR_TRAITS_POINTER_SPEC( leda_integer)
#endif #endif
@end @end
@ -1849,11 +1609,10 @@ arithmetic.
// test variant 2 (needs GMP) // test variant 2 (needs GMP)
#ifdef CGAL_USE_GMP #ifdef CGAL_USE_GMP
# include <CGAL/_QP_solver/Double.h> # include <CGAL/_QP_solver/Double.h>
typedef CGAL::Cartesian< int > R_2; typedef CGAL::Cartesian< int > R_2;
typedef CGAL::Polytope_distance_d_traits_@1<R_2,GMP::Double,double> typedef CGAL::Optimisation_d_traits_@1<R_2,GMP::Double,double> Traits_2;
Traits_2;
# define TEST_VARIANT_2 \ # define TEST_VARIANT_2 \
"Polytope_distance_d_traits_@1< Cartesian<int>, GMP::Double, double >" "Optimisation_d_traits_@1< Cartesian<int>, GMP::Double, double >"
#endif #endif
@end @end
@ -2123,126 +1882,6 @@ can be enabled by giving a number between 0 and 3 at the command line.
@<end of file line> @<end of file line>
@end @end
@! ----------------------------------------------------------------------------
@! Polytope_distance_d_traits_2.h
@! ----------------------------------------------------------------------------
\subsection{include/CGAL/Polytope\_distance\_d\_traits\_2.h}
@file <include/CGAL/Polytope_distance_d_traits_2.h> = @begin
@<file header>(
"include/CGAL/Polytope_distance_d_traits_2.h",
"Traits class (2D) for polytope distance")
#ifndef CGAL_POLYTOPE_DISTANCE_D_TRAITS_2_H
#define CGAL_POLYTOPE_DISTANCE_D_TRAITS_2_H
// includes
#ifndef CGAL_OPTIMISATION_ACCESS_DIMENSION_2_H
# include <CGAL/Optimisation/Access_dimension_2.h>
#endif
#ifndef CGAL_OPTIMISATION_ACCESS_COORDINATES_BEGIN_2_H
# include <CGAL/Optimisation/Access_coordinates_begin_2.h>
#endif
@<namespace begin>("CGAL")
// Class declaration
// =================
@<Poly_dist_d_traits_2 declaration>
// Class interface
// ===============
@<Poly_dist_d_traits_2 interface>
@<namespace end>("CGAL")
#endif // CGAL_POLYTOPE_DISTANCE_D_TRAITS_2_H
@<end of file line>
@end
@! ----------------------------------------------------------------------------
@! Polytope_distance_d_traits_3.h
@! ----------------------------------------------------------------------------
\subsection{include/CGAL/Polytope\_distance\_d\_traits\_3.h}
@file <include/CGAL/Polytope_distance_d_traits_3.h> = @begin
@<file header>(
"include/CGAL/Polytope_distance_d_traits_3.h",
"Traits class (3D) for polytope distance")
#ifndef CGAL_POLYTOPE_DISTANCE_D_TRAITS_3_H
#define CGAL_POLYTOPE_DISTANCE_D_TRAITS_3_H
// includes
#ifndef CGAL_OPTIMISATION_ACCESS_DIMENSION_3_H
# include <CGAL/Optimisation/Access_dimension_3.h>
#endif
#ifndef CGAL_OPTIMISATION_ACCESS_COORDINATES_BEGIN_3_H
# include <CGAL/Optimisation/Access_coordinates_begin_3.h>
#endif
@<namespace begin>("CGAL")
// Class declaration
// =================
@<Poly_dist_d_traits_3 declaration>
// Class interface
// ===============
@<Poly_dist_d_traits_3 interface>
@<namespace end>("CGAL")
#endif // CGAL_POLYTOPE_DISTANCE_D_TRAITS_3_H
@<end of file line>
@end
@! ----------------------------------------------------------------------------
@! Polytope_distance_d_traits_d.h
@! ----------------------------------------------------------------------------
\subsection{include/CGAL/Polytope\_distance\_d\_traits\_d.h}
@file <include/CGAL/Polytope_distance_d_traits_d.h> = @begin
@<file header>(
"include/CGAL/Polytope_distance_d_traits_d.h",
"Traits class (dD) for polytope distance")
#ifndef CGAL_POLYTOPE_DISTANCE_D_TRAITS_D_H
#define CGAL_POLYTOPE_DISTANCE_D_TRAITS_D_H
// includes
#ifndef CGAL_OPTIMISATION_ACCESS_DIMENSION_D_H
# include <CGAL/Optimisation/Access_dimension_d.h>
#endif
#ifndef CGAL_OPTIMISATION_ACCESS_COORDINATES_BEGIN_D_H
# include <CGAL/Optimisation/Access_coordinates_begin_d.h>
#endif
#ifndef CGAL_OPTIMISATION_CONSTRUCT_POINT_D_H
# include <CGAL/Optimisation/Construct_point_d.h>
#endif
@<namespace begin>("CGAL")
// Class declaration
// =================
@<Poly_dist_d_traits_d declaration>
// Class interface
// ===============
@<Poly_dist_d_traits_d interface>
@<namespace end>("CGAL")
#endif // CGAL_POLYTOPE_DISTANCE_D_TRAITS_D_H
@<end of file line>
@end
@! ---------------------------------------------------------------------------- @! ----------------------------------------------------------------------------
@! test_Polytope_distance_d.h @! test_Polytope_distance_d.h
@! ---------------------------------------------------------------------------- @! ----------------------------------------------------------------------------