Program Listing for File Approximation.h

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/*--------------------------------------------------------------------------*/
/*-------------------------- File Approximation.h --------------------------*/
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/*----------------------------- DEFINITIONS --------------------------------*/
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#ifndef __ADS_Approximation
 #define __ADS_Approximation
                      /* self-identification: #endif constant */

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/*------------------------------ INCLUDES ----------------------------------*/
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#include "ADS/Contract.h"
#include "ADS/complexity/Problems.h"
#include "ADS/graph/MinimumSpanningTree.h"

#include <algorithm>
#include <cstddef>
#include <limits>
#include <numeric>
#include <utility>
#include <vector>

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/*--------------------------- NAMESPACE ------------------------------------*/
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namespace ADS {

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/*---------------------------- BIN PACKING ---------------------------------*/
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inline std::vector< int > firstFit( const std::vector< long > & A , long k ,
                                    bool decreasing = false );

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/*----------------------------- DELTA TSP ----------------------------------*/
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template< class T >
T tourCost( const std::vector< std::vector< T > > & D , const Nodes & S );

template< class T >
Nodes deltaTsp( const std::vector< std::vector< T > > & D );

inline std::vector< std::vector< long > > tspGap( const Adjacency & G ,
                                                  long s );

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/*-------------------------- SUBSET SUM AND ZAINO --------------------------*/
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inline std::pair< long , Nodes > apSubsetSum( const std::vector< long > & A ,
                                              long k , int h );

inline std::pair< long , Nodes > knapsackApprox(
                                            const std::vector< long > & p ,
                                            const std::vector< long > & v ,
                                            long C , double eps );

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/*---------------------------- VERTEX COVER --------------------------------*/
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inline Nodes vertexCoverApprox( const Adjacency & G );

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}  // end( namespace ADS )

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/*-------------------------- IMPLEMENTATION --------------------------------*/
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#include "ADS/intractable/impl/Approximation.tpp"

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#endif  /* Approximation.h included */

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/*------------------------ End File Approximation.h ------------------------*/
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