Setv.hpp

/*------------------------------------------------------------------------*/
/*      phdMesh : Parallel Heterogneous Dynamic unstructured Mesh         */
/*                Copyright (2007) Sandia Corporation                     */
/*                                                                        */
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/*  USA                                                                   */
/*------------------------------------------------------------------------*/

#ifndef util_Setv_hpp
#define util_Setv_hpp

#include <utility>
#include <iterator>
#include <functional>

namespace phdmesh {

// ---------------------------------------------------------------------
// ---------------------------------------------------------------------

#ifndef DOXYGEN_COMPILE

template < typename KeyType > class SetvMember ;

template < class ValueType , bool Forward > class SetvIter ;

template < class ValueType, class KeyCompare, class Allocator > class Setv ;

// ---------------------------------------------------------------------

template<>
class SetvMember<void> {
public:
  ~SetvMember(); // Destructor removes member from its container
  SetvMember();

  enum { black = 0 , red = 1 };

  SetvMember<void> * parent ; // Binary tree node
  SetvMember<void> * left ;   // Binary tree node
  SetvMember<void> * right ;  // Binary tree node
  unsigned           color ;  // Red-black color

private:
  SetvMember<void>( const SetvMember<void> & );
  SetvMember<void> & operator = ( const SetvMember<void> & );
};

template<bool Forward>
SetvMember<void> * setv_iterate( const SetvMember<void> * );

template<>
SetvMember<void> * setv_iterate<true>(  const SetvMember<void> * );

template<>
SetvMember<void> * setv_iterate<false>( const SetvMember<void> * );

#endif /* DOXYGEN_COMPILE */

// ---------------------------------------------------------------------
// ---------------------------------------------------------------------
template < typename KeyType >
class SetvMember : private SetvMember<void> {
public:
  typedef KeyType key_type ;

  const key_type & key() const { return m_key ; }

  ~SetvMember() {}

  SetvMember() : SetvMember<void>() {}

  SetvMember( const SetvMember<key_type> & rhs )
    : SetvMember<void>(), m_key( rhs.m_key ) {}

  explicit SetvMember( const KeyType & k )
    : SetvMember<void>(), m_key( k ) {}

private:

  SetvMember<key_type> & operator = ( const SetvMember<key_type> & m );

  key_type m_key ;

  template< class T , class C , class A > friend class Setv ;
  template< class T , bool F > friend class SetvIter ;
};

//----------------------------------------------------------------------
template < class Type , bool Forward>
class SetvIter : public std::iterator<std::bidirectional_iterator_tag,Type>
{
private:

  Type * n ;

  SetvIter( Type * x ) : n(x) {}

  template < class T , bool F >            friend class SetvIter ;
  template < class T , class C , class A > friend class Setv ;

public:

  operator bool () const { return n && n->parent ; }

  SetvIter() : n(NULL) {}

  template<class T,bool F> SetvIter( const SetvIter<T,F> & x ) : n(x.n) {}

  template<class T,bool F>
    SetvIter<Type,Forward> & operator = ( const SetvIter<T,F> & x )
      { n = x.n ; return *this ; }

  template<class T,bool F>
    bool operator == ( const SetvIter<T,F> & y ) const { return n == y.n ; }

  template<class T,bool F>
    bool operator != ( const SetvIter<T,F> & y ) const { return n != y.n ; }

  Type & operator * () const
    { return *(operator bool() ? n : reinterpret_cast<Type*>(NULL) ); }

  Type * operator ->() const
    { return  (operator bool() ? n : reinterpret_cast<Type*>(NULL) ); }

  SetvIter<Type,Forward> & operator++()
    { n = static_cast<Type*>( setv_iterate<Forward>(n) ); return *this ; }

  SetvIter<Type,Forward> & operator--()
    { n = static_cast<Type*>( setv_iterate<!Forward>(n) ); return *this ; }

  SetvIter<Type,Forward> operator++(int)
    {
      Type * const t = n ;
      n = static_cast<Type*>( setv_iterate<Forward>(n) );
      return SetvIter<Type,Forward>(t);
    }

  SetvIter<Type,Forward> operator--(int)
    {
      Type * const t = n ;
      n = static_cast<Type*>( setv_iterate<!Forward>(n) );
      return SetvIter<Type,Forward>(t);
    }
};

//----------------------------------------------------------------------

#ifndef DOXYGEN_COMPILE

template<>
class Setv<void,void,void> : private SetvMember<void> {
protected:
  friend class SetvMember<void> ; // For destructor to remove

  Setv();
  ~Setv();

  size_t size() const { return m_size ; }

  SetvMember<void> * nRoot() const { return m_header.parent ; }

  SetvMember<void> * nEnd() const
    { return const_cast<SetvMember<void>*>( & m_right_end ); }

  SetvMember<void> * nREnd() const
    { return const_cast<SetvMember<void>*>( & m_left_end ); }

  SetvMember<void> * nBegin()  const
    { return ( m_left_end.right != nREnd() ) ? m_left_end.right : nEnd(); }

  SetvMember<void> * nRBegin() const
    { return ( m_right_end.left != nEnd() ) ? m_right_end.left : nREnd(); }

  void initialize();

  void insert( SetvMember<void> * y , SetvMember<void> * z , bool z_lt_y );

  void remove( SetvMember<void> * );

  SetvMember<void> * unbalancing_removal( SetvMember<void> ** n );

  static Setv<void,void,void> * container( const SetvMember<void> * );

private:

  SetvMember<void> & m_header ;    // head node is this
  SetvMember<void>   m_left_end ;  // 'rend()' node
  SetvMember<void>   m_right_end ; // 'end()' node
  size_t             m_size ;

  // root      == m_header.parent
  // leftmost  == m_left_end.right
  // rightmost == m_right_end.left
};

#endif /* DOXYGEN_COMPILE */

//----------------------------------------------------------------------
template < class ValueType ,
           class KeyCompare = std::less<typename ValueType::key_type> ,
           class Allocator = std::allocator<ValueType> >
class Setv : private Setv<void,void,void> {
public:
  typedef typename ValueType::key_type key_type ;

  typedef ValueType   value_type ;

  typedef KeyCompare  key_compare ;

  typedef Allocator   allocator_type ;

#ifndef DOXYGEN_COMPILE

  typedef typename allocator_type::reference       reference ;
  typedef typename allocator_type::const_reference const_reference ;
  typedef typename allocator_type::pointer         pointer ;
  typedef typename allocator_type::const_pointer   const_pointer ;
  typedef typename allocator_type::size_type       size_type ;
  typedef typename allocator_type::difference_type difference_type ;

  typedef SetvIter<      value_type,true>  iterator ;
  typedef SetvIter<const value_type,true>  const_iterator ;
  typedef SetvIter<      value_type,false> reverse_iterator ;
  typedef SetvIter<const value_type,false> const_reverse_iterator ;

  struct value_compare : public std::binary_function<value_type,value_type,bool>
  {
    protected:
      key_compare comp ;
    public:
      bool operator()(const value_type& x, const value_type& y) const {
        return comp( x.SetvMember<key_type>::key() ,
                     y.SetvMember<key_type>::key() );
      }
  };

#endif /* DOXYGEN_COMPILE */

  ~Setv();

  Setv( const key_compare    & arg_compare = key_compare(),
        const allocator_type & arg_alloc = allocator_type() )
    : Setv<void,void,void>(),
      alloc(arg_alloc), key_less(arg_compare), value_less() {}

  Setv( const Setv<value_type,key_compare,allocator_type> & );

  Setv<value_type,key_compare,allocator_type> & operator =
    ( const Setv<value_type,key_compare,allocator_type> & );

  allocator_type get_allocator() const { return alloc ; }

  iterator begin() const
    { return iterator(
        static_cast<value_type*>( Setv<void,void,void>::nBegin() ) ); }

  iterator end() const
    { return iterator(
        static_cast<value_type*>( Setv<void,void,void>::nEnd() ) ); }

  reverse_iterator rbegin() const
    { return reverse_iterator(
        static_cast<value_type*>( Setv<void,void,void>::nRBegin() ) ); }

  reverse_iterator rend() const
    { return reverse_iterator(
        static_cast<value_type*>( Setv<void,void,void>::nREnd() ) ); }

  std::pair<iterator,bool>
    insert( const key_type & key , value_type * value = NULL );

  std::pair<iterator,bool> insert( value_type * );

  void erase( iterator position );

  void erase( value_type * );

  size_type erase( const key_type & );

  void remove( value_type & v )
    { Setv<void,void,void>::remove( &v ); }

  void clear();
  bool      empty() const { return Setv<void,void,void>::size() == 0 ; }

  size_type size()  const { return Setv<void,void,void>::size() ; }

  size_type max_size() const { return alloc.max_size(); }

  key_compare   key_comp()   const { return key_less ; }

  value_compare value_comp() const { return value_less ; }

  value_type & operator[]( const key_type & key );

  iterator  find(  const key_type & ) const ;

  size_type count( const key_type & ) const ;

  iterator  lower_bound( const key_type & ) const ;

  iterator  upper_bound( const key_type & ) const ;

  bool verify_ordering() const ;

  static
  Setv<value_type,key_compare,allocator_type> * container( const value_type & );

private:

  typedef SetvMember<key_type> MemberType ;

  allocator_type alloc ;
  key_compare    key_less ;
  value_compare  value_less ;
};

} // namespace phdmesh

// ---------------------------------------------------------------------
// ---------------------------------------------------------------------
// Implementation from here forward

#ifndef DOXYGEN_COMPILE

namespace phdmesh {

//----------------------------------------------------------------------

template<class T,class C,class M>
inline
Setv<T,C,M>::~Setv()
{ clear(); }

template<class T,class C,class M>
inline
std::pair<typename Setv<T,C,M>::iterator,bool>
Setv<T,C,M>::insert( typename Setv<T,C,M>::value_type * v )
{
  bool flag = false ;

  if ( v != NULL ) {
    const typename Setv<T,C,M>::key_type & k = v->key();

    phdmesh::SetvMember<void> * y = nEnd();
    phdmesh::SetvMember<void> * x = nRoot();

    flag = true ;

    while ( x ) {
      y = x ;
      x = ( flag = key_less( k , static_cast<MemberType*>(x)->key() ) )
        ? x->left : x->right ;
    }

    /* flag = k < y , check previous value if exists */

    const bool k_lt_y = flag ;

    x = flag && y != nBegin() ? ( flag = false , setv_iterate<false>(y) ) : y ;

    if ( flag || ( flag = key_less(static_cast<MemberType*>(x)->key(),k) ) ) {
      x = v ;
      Setv<void,void,void>::insert( y , x , k_lt_y );
    }
    else {
      v = static_cast<typename Setv<T,C,M>::value_type*>( x );
    }
  }
  return std::pair<typename Setv<T,C,M>::iterator,bool>( iterator(v), flag );
}

template<class T,class C,class M>
inline
std::pair<typename Setv<T,C,M>::iterator,bool>
Setv<T,C,M>::insert( const typename Setv<T,C,M>::key_type   & k ,
                           typename Setv<T,C,M>::value_type * v )
{
  phdmesh::SetvMember<void> * y = nEnd();
  phdmesh::SetvMember<void> * x = nRoot();

  bool flag = true ;

  while ( x ) {
    y = x ;
    x = ( flag = key_less( k , static_cast<MemberType*>(x)->key() ) )
      ? x->left : x->right ;
  }

  /* flag = k < y , check previous value if exists */

  const bool k_lt_y = flag ;

  x = flag && y != nBegin() ? ( flag = false , setv_iterate<false>(y) ) : y ;

  if ( flag || ( flag = key_less(static_cast<MemberType*>(x)->key(),k) ) ) {
    if ( v == NULL ) {
      v = alloc.allocate(1);
      new(v) value_type();
    }
    v->SetvMember<key_type>::m_key = k ;
    x = v ;
    Setv<void,void,void>::insert( y , x , k_lt_y );
  }
  else {
    v = static_cast<typename Setv<T,C,M>::value_type*>( x );
  }
  return std::pair<typename Setv<T,C,M>::iterator,bool>( iterator(v), flag );
}

template<class T,class C,class M>
inline
typename Setv<T,C,M>::value_type &
Setv<T,C,M>::operator[]( const key_type & k )
{
  std::pair<typename Setv<T,C,M>::iterator,bool> result = insert(k);
  return *result.second ;
}

template<class T,class C,class M>
inline
void Setv<T,C,M>::erase( typename Setv<T,C,M>::value_type * p )
{
  Setv<void,void,void>::remove( p );
  alloc.destroy(    p );
  alloc.deallocate( p , 1 );
}

template<class T,class C,class M>
inline
void Setv<T,C,M>::erase( typename Setv<T,C,M>::iterator p )
{
  if ( p.operator bool() ) { erase( p.n ); }
}

template<class T,class C,class M>
inline
typename Setv<T,C,M>::size_type
Setv<T,C,M>::erase( const typename Setv<T,C,M>::key_type & k )
{
  iterator i = find(k);
  return i != end() ? ( erase( i ) , 1 ) : 0 ;
}

template<class T,class C,class M>
void Setv<T,C,M>::clear()
{
  if ( Setv<void,void,void>::size() ) {
    phdmesh::SetvMember<void> * n = nBegin();
    phdmesh::SetvMember<void> * t ;
    while ( ( t = Setv<void,void,void>::unbalancing_removal( &n ) ) ) {
      alloc.destroy(    static_cast<value_type*>(t) );
      alloc.deallocate( static_cast<value_type*>(t) , 1 );
    }
  }
  Setv<void,void,void>::initialize();
}

template<class T,class C,class M>
inline
typename Setv<T,C,M>::iterator  
Setv<T,C,M>::lower_bound( const typename Setv<T,C,M>::key_type & k ) const  
{
  phdmesh::SetvMember<void> * y = nEnd();
  phdmesh::SetvMember<void> * x = nRoot();
  while ( x ) x = key_less(static_cast<MemberType*>(x)->key(),k)
                ? x->right : ( y = x )->left ;
  return iterator( static_cast<value_type*>(y) );
}

template<class T,class C,class M>
inline
typename Setv<T,C,M>::iterator  
Setv<T,C,M>::upper_bound( const typename Setv<T,C,M>::key_type & k ) const  
{
  phdmesh::SetvMember<void> * y = nEnd();
  phdmesh::SetvMember<void> * x = nRoot();
  while ( x ) x = key_less(k,static_cast<MemberType*>(x)->key())
                ? ( y = x )->left : x->right ;
  return iterator( static_cast<value_type*>(y) );
}

template<class T,class C,class M>
inline
typename Setv<T,C,M>::iterator  
Setv<T,C,M>::find( const typename Setv<T,C,M>::key_type & k ) const  
{
  typename Setv<T,C,M>::iterator i = lower_bound(k); // k <= i->key();

  // If 'end()' or k < y->key() then not found
  if ( i != end() && key_less(k,(*i).MemberType::key()) ) i = end();

  return i ;
}

template<class T,class C,class M>
inline
typename Setv<T,C,M>::size_type
Setv<T,C,M>::count( const typename Setv<T,C,M>::key_type & k ) const  
{
  typename Setv<T,C,M>::iterator i = lower_bound(k); // k <= i->key();
  return i == end() || key_less(k,(*i).SetvMember<T>::key()) ? 0 : 1 ;
}

template<class T,class C,class M>
inline
Setv<T,C,M>::Setv( const Setv<T,C,M> & V )
  : Setv<void,void,void>()
{
  for ( const_iterator i = V.begin() ; i != V.end() ; ++i ) {
    pointer a = alloc.allocate(1);
    alloc.construct(a,*i);
    insert( i->SetvMember<key_type>::key() , a );
  }
}

template<class T,class C,class M>
inline
Setv<T,C,M> &
Setv<T,C,M>::operator = ( const Setv<T,C,M> & V )
{
  clear();
  for ( const_iterator i = V.begin() ; i != V.end() ; ++i ) {
    pointer a = alloc.allocate(1);
    alloc.construct(a,*i);
    insert( i->SetvMember<key_type>::key() , a );
  }
}

template<class T,class C,class M>
inline
Setv<T,C,M> *
Setv<T,C,M>::container( const typename Setv<T,C,M>::value_type & v )
{
  Setv<void,void,void> * const c = Setv<void,void,void>::container(&v);
  return c ? static_cast<Setv<T,C,M>*>( c ) :
             reinterpret_cast<Setv<T,C,M>*>( NULL );
}

template<class T,class C,class M>
inline
bool Setv<T,C,M>::verify_ordering() const
{
  size_type count = 0 ;
  iterator  i = begin();
  iterator  j ;

  while ( i != end() &&
         ( ++(j=i) == end() || key_less( i->MemberType::key() ,
                                         j->MemberType::key() ) )
         && --j == i )
    { ++i ; ++count ; }

  return ( i == end() && count == size() );
}

// ---------------------------------------------------------------------

} // namespace phdmesh

#endif /* DOXYGEN_COMPILE */

#endif /* util_Setv_hpp */

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