knn.h

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#ifndef AIMS_MATH_KNN_H
#define AIMS_MATH_KNN_H
 
#include <cstdlib>
#include <stdlib.h>
#include <math.h>
#include <vector>
#include <algorithm>
#include <iostream>
#include <string.h>
 
namespace aims
{
 
namespace knn
{
 
class Distance
{
public:
        Distance() {};
        virtual ~Distance() {};
 
        virtual inline const std::string &name(void) const
        {
                return _name;
        }
 
        virtual double  operator()(const double *v1,
                const double *v2, unsigned int dim) const = 0;
 
        virtual double  operator()(const std::vector<double> &v1,
                        const std::vector<double> &v2) const
        {
                return (*this)(&v1[0], &v2[0], v1.size());
        }
protected:
        std::string     _name;
};
 
class EuclidianDistance : public Distance
{
public:
        EuclidianDistance()
        {
                _name = "euclidian";
        }
        virtual ~EuclidianDistance() {};
 
        virtual double  operator()(const double *v1,
                const double *v2, unsigned int dim) const
        {
                double  d, s = 0.;
 
                for (unsigned int i = 0; i < dim; ++i)
                {
                        d = v1[i] - v2[i];
                        s += d * d;
                }
                return sqrt(s);
        }
};
 
class SquaredEuclidianDistance : public Distance
{
public:
        SquaredEuclidianDistance()
        {
                _name = "squared_euclidian";
        }
        virtual ~SquaredEuclidianDistance() {};
 
        virtual double  operator()(const double *v1,
                const double *v2, unsigned int dim) const
        {
                double  d, s = 0.;
 
                for (unsigned int i = 0; i < dim; ++i)
                {
                        d = v1[i] - v2[i];
                        s += d * d;
                }
                return s;
        }
};
 
class ManhattanDistance : public Distance
{
public:
        ManhattanDistance()
        {
                _name = "manhattan";
        }
        virtual ~ManhattanDistance() {};
 
        virtual double  operator()(const double *v1,
                const double *v2, unsigned int dim) const
        {
                double  s = 0.;
 
                for (unsigned int i = 0; i < dim; ++i)
                        s += fabs(v1[i] - v2[i]);
                return s;
        }
};
 
 
class TchebychevDistance : public Distance
{
public:
        TchebychevDistance()
        {
                _name = "tchebychev";
        }
        virtual ~TchebychevDistance() {};
 
        virtual double  operator()(const double *v1,
                const double *v2, unsigned int dim) const
        {
                double  d = 0., max = 0.;
 
                for (unsigned int i = 0; i < dim; ++i)
                {
                        d = fabs(v1[i] - v2[i]);
                        if (d  > max) max = d;
                }
                return max;
        }
};
 
 
class Database
{
public:
        typedef double *        value_type;
        typedef double **       pointer;
        typedef double *&       reference;
 
 
        Database();
        Database(double *data, unsigned int size, unsigned int dim);
        virtual ~Database() {};
 
        void init(double *data, unsigned int size, unsigned int dim);
        int search(const std::vector<double> &v,
                                        unsigned int dim) const;
        int search_with_hole(const std::vector<double> &v,
                                        unsigned int dim) const;
 
 
        class Vector
        {
        public:
                Vector(Database *db, unsigned int ind)
                {
                        init(db, ind);
                }
                Vector(const Vector &v)
                {
                        _dim = v._dim;
                        _data = (double *) malloc(sizeof(double) * _dim);
                        memcpy(_data, v._data, sizeof(double) * _dim);
                        _own_data = true;
                }
 
                double  *operator*(void)
                {
                        return _data;
                };
 
                const double    *operator*(void) const
                {
                        return _data;
                };
 
                virtual ~Vector()
                {
                        this->free();
                }
 
                inline void init(Database *db, unsigned int ind)
                {
                        if (db != NULL)
                        {
                                _data = (*db)[ind];
                                _dim = db->dim();
                        }
                        else
                        {
                                _data = NULL;
                                _dim = 0;
                        }
                        _own_data = false;
                }
 
                inline void free()
                {
                        if (_own_data) ::free(_data);
                }
 
                inline double operator()(unsigned int dim) const
                {
                        return _data[dim];
                }
 
                inline void update(const Vector &v)
                {       
                        _data = v._data;
                        _dim = v._dim;
                        _own_data = false;
                }
 
                inline void update(Database *db, unsigned int ind)
                {       
                        this->free();
                        init(db, ind);
                }
 
                inline Vector &operator =(const Vector &v)
                {       
                        _dim = v._dim;
                        if (_data == NULL)
                        {
                                _data = (double *)malloc(sizeof(double)* _dim);
                                _own_data = true;
                        }
                        memcpy(_data, v._data, sizeof(double) * _dim);
                        return *this;
                }
        private:
                bool                    _own_data;
                double                  *_data;
                unsigned int            _dim;
        };
 
        class DatabaseCompare
        {
        public:
                DatabaseCompare(unsigned int dim) : _dim(dim) {};
 
                bool operator()(const Vector &v1, const Vector &v2) const
                {
                        return v1(_dim) < v2(_dim);
                }
 
        private:
                unsigned int _dim;
        };
 
        class iterator
        {
        public:
                typedef std::ptrdiff_t                  difference_type;
                typedef std::bidirectional_iterator_tag iterator_category;
                typedef Vector                            value_type;
                typedef Vector*                           pointer;
                typedef Vector&                           reference;
 
 
 
                iterator() : _db(NULL), _ind(0), _vector(Vector(NULL, 0)) {}
                iterator(Database *db, unsigned int ind=0) :
                        _db(db), _ind(ind), _vector(Vector(db, _ind)){}
                iterator(const iterator &it) : _db(it._db), _ind(it._ind),
                        _vector(it._vector) {};
                ~iterator() {};
 
                inline iterator &operator =(const iterator &it)
                {
                        _ind = it._ind;
                        _db = it._db;
                        return *this;
                }
 
                bool operator!=(const iterator & it)
                {
                        return _ind != it._ind;
                };
 
                bool operator==(const iterator & it)
                {
                        return _ind == it._ind;
                };
 
                iterator operator++(void)
                {
                        if (_ind < _db->size()) ++_ind;
                        return *this;
                };
 
                iterator operator++(int)
                {
                        const iterator tmp = *this;
                        if (_ind < _db->size()) _ind++;
                        return tmp;
                };
 
                iterator operator--(void)
                {
                        --_ind;
                        return *this;
                };
 
                iterator operator--(int)
                {
                        const iterator tmp = *this;
                        _ind--;
                        return tmp;
                };
 
                int operator-(const iterator &it)
                {
                        return _ind - it._ind;
                };
 
                int operator+(const iterator &it)
                {
                        return _ind + it._ind;
                };
 
                iterator operator-(unsigned int ind)
                {
                        return iterator(_db, _ind - ind);
                };
 
                iterator operator+(unsigned int ind)
                {
                        return iterator(_db, _ind + ind);
                };
 
                iterator & operator +=( unsigned int ind )
                {
                        for( unsigned i=0; i<ind; ++i )
                              this->operator ++();
                        return *this;
                };
 
                Vector    &operator*(void)
                {
                        _vector.update(_db, _ind);
                        return _vector;
                };
 
                bool    operator<(const iterator &it)
                {
                        return _ind < it._ind;
                };
 
                bool    operator<=(const iterator &it)
                {
                        return _ind <= it._ind;
                };
 
                bool    operator>(const iterator &it)
                {
                        return _ind > it._ind;
                };
 
                bool    operator>=(const iterator &it)
                {
                        return _ind >= it._ind;
                };
 
        private:
                Database        *_db;
                unsigned int    _ind;
                Vector            _vector;
        };
 
        iterator        begin(void)
        {
                return iterator(this, 0);
        }
 
        iterator        end(void)
        {
                return iterator(this, _size);
        }
 
        inline unsigned int     size(void) const
        {
                return _size;
        }
 
        inline unsigned int     dim(void) const
        {
                return _dim;
        }
 
        inline double   operator()(unsigned int  x, unsigned int y) const
        {
                return _data[x * _dim + y];
        }
 
        inline double *operator[](unsigned int ind)
        {
                return &_data[ind * _dim];
        }
 
        inline const double *operator[](unsigned int ind) const
        {
                return &_data[ind * _dim];
        }
 
        double  variance_along_dim(unsigned int dim) const;
 
        void    sort(unsigned int dim);
 
        inline const    std::vector<bool> &holes() const
        {
                return _holes;
        }
 
        inline void setHole(unsigned int ind, bool status)
        {
                _holes[ind] = status;
        }
 
        inline void removeHoles(void)
        {
                _holes = std::vector<bool>(_size, false);
        }
 
protected:
        double                  *_data;
        unsigned int            _size;
        unsigned int            _dim;
        std::vector<bool>       _holes;
};
 
 
class MultiDatabase : public Database
{
public:
        MultiDatabase(double *data, unsigned int n, unsigned int dim) :
                Database(data, n, dim) {};
};
 
class Heap
{
public:
        class MiniHeap
        {
        public:
                MiniHeap(double key, const void *value) :
                        _key(key), _value(value) {};
                virtual ~MiniHeap() {};
 
                MiniHeap(const MiniHeap &h) : _key(h._key), _value(h._value) {}
 
                inline MiniHeap &operator =(const MiniHeap &h)
                {
                        _key = h._key;
                        _value = h._value;
                        return *this;
                }
 
                inline double key() const
                {
                        return _key;
                }
 
                inline const void *value() const
                {
                        return _value;
                }
 
                inline bool operator < (const MiniHeap &h) const
                {
                        return _key < h._key;
                }
 
                inline bool operator > (const MiniHeap &h) const
                {
                        return _key > h._key;
                }
 
        private:
                double          _key;
                const void      *_value;
        };
 
        Heap(unsigned int n) : _n(0), _limit(n),
                _list(std::vector<MiniHeap>(n + 1,
                        MiniHeap(HUGE_VAL, NULL))) {};
        virtual ~Heap() {};
 
        void    exchange(unsigned int a, unsigned int b);
        void    erase_worst(void);
        void    insert(double key, const void *value);
        std::pair<std::vector<unsigned int>, std::vector<double> >
        toVectors(const Database &_db);
 
        const MiniHeap &operator[](unsigned int ind) const
        {
                return _list[ind];
        }
 
        inline double   get_worst_value()
        {
                return _list[0].key();
        }
 
private:
        unsigned int            _n;
        unsigned int            _limit;
        std::vector<MiniHeap>   _list;
};
 
class Knn
{
public:
        Knn(Database &db, unsigned int k,
                Distance *distance = new SquaredEuclidianDistance()) :
                _db(db), _k(k), _distance(distance), _distance_n(-1) {};
        virtual ~Knn() {};
 
        virtual std::pair<std::vector<unsigned int>, std::vector<double> >
        find(const std::vector<double> &v) = 0;
 
protected:
        Database        &_db; 
        unsigned int    _k;
        Distance  *_distance;
        int             _distance_n;
};
 
class KnnBruteForce : public Knn
{
public:
        KnnBruteForce(Database &db, unsigned int k,
                Distance *distance = new SquaredEuclidianDistance()) :
                Knn(db, k, distance) {};
        virtual ~KnnBruteForce() {};
 
        virtual std::pair<std::vector<unsigned int>, std::vector<double> >
        find(const std::vector<double> &v);
};
 
class KnnFriedman : public Knn
{
public:
        KnnFriedman(Database &db, unsigned int k,
                Distance *distance = new SquaredEuclidianDistance()) :
                Knn(db, k, distance) {};
        virtual ~KnnFriedman() {};
 
        virtual void precompute(void) = 0;
        virtual std::pair<std::vector<unsigned int>, std::vector<double> >
        find(const std::vector<double> &v) = 0;
};
 
class KnnGlobalFriedman : public KnnFriedman
{
public:
        KnnGlobalFriedman(Database &db, unsigned int k,
                Distance *distance = new SquaredEuclidianDistance()) :
                KnnFriedman(db, k, distance) {};
        virtual ~KnnGlobalFriedman() {};
 
        virtual void precompute(void);
        std::pair<std::vector<unsigned int>, std::vector<double> >
        find(const std::vector<double> &v);
 
private:
        unsigned int _best_dim;
};
 
}; /* end of namespace knn */
}; /* end of namespace aims */
 
#endif