Mesh Oriented datABase  (version 5.4.1)
Array-based unstructured mesh datastructure
moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer > Class Template Reference

#include <element_tree.hpp>

+ Collaboration diagram for moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >:

Public Types

typedef _Entity_handles Entity_handles
typedef _Box Box
typedef _Moab Moab
typedef _Parametrizer Parametrizer
typedef Entity_handles::value_type Entity_handle

Public Member Functions

 Element_tree (Entity_handles &_entities, Moab &_moab, Box &_bounding_box, Parametrizer &_entity_contains)
 Element_tree (Self &s)
template<typename Vector , typename Result >
Result & find (const Vector &point, Result &result) const

Private Types

typedef Element_tree
< _Entity_handles, _Box, _Moab,
_Parametrizer > 
Self
typedef std::pair< Box,
Entity_handle
Leaf_element
typedef _element_tree::_Node
< Entity_handles, std::vector
< Leaf_element > > 
Node
typedef
common_tree::_Element_data
< Box, std::bitset< NUM_DIM
*MAX_ITERATIONS *2 > > 
Element_data
typedef std::vector< NodeNodes
typedef
std::tr1::unordered_map
< Entity_handle, Element_data
Element_map
typedef std::vector< typename
Element_map::iterator > 
Element_list
typedef
_element_tree::_Partition_data
< Box
Partition_data

Private Member Functions

template<typename Iterator , typename Split_data >
void compute_split (Iterator &begin, Iterator &end, Split_data &split_data, bool iteration=false)
template<typename Split_data >
bool update_split_line (Split_data &data) const
template<typename Iterator , typename Split_data , typename Directions >
void determine_split (Iterator &begin, Iterator &end, Split_data &data, const Directions &directions)
template<typename Iterator , typename Node_index , typename Directions , typename Partition_data >
void build_tree (Iterator begin, Iterator end, const Node_index node, const Directions &directions, Partition_data &_data, int &depth, const bool is_middle=false)
template<typename Vector , typename Node_index , typename Result >
Result & _find_point (const Vector &point, const Node_index &index, Result &result) const

Private Attributes

const Entity_handlesentity_handles_
Nodes tree_
Moabmoab
Box bounding_box
Parametrizer entity_contains

Detailed Description

template<typename _Entity_handles, typename _Box, typename _Moab, typename _Parametrizer>
class moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >

Definition at line 231 of file element_tree.hpp.


Member Typedef Documentation

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef _Box moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Box

Definition at line 237 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef common_tree::_Element_data< Box, std::bitset< NUM_DIM * MAX_ITERATIONS * 2 > > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Element_data [private]

Definition at line 249 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef std::vector< typename Element_map::iterator > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Element_list [private]

Definition at line 253 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef std::tr1::unordered_map< Entity_handle, Element_data > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Element_map [private]

Definition at line 252 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef Entity_handles::value_type moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Entity_handle

Definition at line 240 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef _Entity_handles moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Entity_handles

Definition at line 236 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef std::pair< Box, Entity_handle > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Leaf_element [private]

Definition at line 245 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef _Moab moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Moab

Definition at line 238 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef _element_tree::_Node< Entity_handles, std::vector< Leaf_element > > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Node [private]

Definition at line 246 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef std::vector< Node > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Nodes [private]

Definition at line 250 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef _Parametrizer moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Parametrizer

Definition at line 239 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef _element_tree::_Partition_data< Box > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Partition_data [private]

Definition at line 254 of file element_tree.hpp.

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
typedef Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer > moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Self [private]

Definition at line 244 of file element_tree.hpp.


Constructor & Destructor Documentation

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Element_tree ( Entity_handles _entities,
Moab _moab,
Box _bounding_box,
Parametrizer _entity_contains 
) [inline]

Definition at line 258 of file element_tree.hpp.

References moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::bounding_box, moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::build_tree(), moab::common_tree::construct_element_map(), moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::entity_handles_, moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::moab, and moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::tree_.

        : entity_handles_( _entities ), tree_(), moab( _moab ), bounding_box( _bounding_box ),
          entity_contains( _entity_contains )
    {
        tree_.reserve( _entities.size() );
        Element_map element_map( _entities.size() );
        Partition_data _data;
        common_tree::construct_element_map( entity_handles_, element_map, _data.bounding_box, moab );
        bounding_box  = _data.bounding_box;
        _bounding_box = bounding_box;
        Element_list element_ordering( element_map.size() );
        std::size_t index = 0;
        for( typename Element_map::iterator i = element_map.begin(); i != element_map.end(); ++i, ++index )
        {
            element_ordering[index] = i;
        }
        // We only build nonempty trees
        if( element_ordering.size() )
        {
            // initially all bits are set
            std::bitset< 3 > directions( 7 );
            tree_.push_back( Node() );
            int depth = 0;
            build_tree( element_ordering.begin(), element_ordering.end(), 0, directions, _data, depth );
            std::cout << "depth: " << depth << std::endl;
        }
    }
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Element_tree ( Self s) [inline]

Definition at line 287 of file element_tree.hpp.

        : entity_handles_( s.entity_handles_ ), tree_( s.tree_ ), moab( s.moab ), bounding_box( s.bounding_box )
    {
    }

Member Function Documentation

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
template<typename Vector , typename Node_index , typename Result >
Result& moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::_find_point ( const Vector &  point,
const Node_index &  index,
Result &  result 
) const [inline, private]

Definition at line 543 of file element_tree.hpp.

References moab::common_tree::box_contains_point(), moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::entity_contains, moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::moab, and moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::tree_.

Referenced by moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::find().

    {
        typedef typename Node::Entities::const_iterator Entity_iterator;
        typedef typename std::pair< bool, Vector > Return_type;
        const Node& node = tree_[index];
        if( node.leaf() )
        {
            // check each node
            for( Entity_iterator i = node.entities.begin(); i != node.entities.end(); ++i )
            {
                if( common_tree::box_contains_point( i->first, point ) )
                {
                    Return_type r = entity_contains( moab, i->second, point );
                    if( r.first )
                    {
                        result = std::make_pair( i->second, r.second );
                    }
                    return result;
                }
            }
            return Result( 0, point );
        }
        if( point[node.dim] < node.left_line )
        {
            return _find_point( point, node.left_, result );
        }
        else if( point[node.dim] > node.right_line )
        {
            return _find_point( point, node.right_, result );
        }
        else
        {
            Entity_handle middle = _find_point( point, node.middle_, result );
            if( middle != 0 )
            {
                return result;
            }
            if( point[node.dim] < node.split )
            {
                return _find_point( point, node.left_, result );
            }
            return _find_point( point, node.right_, result );
        }
    }
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
template<typename Iterator , typename Node_index , typename Directions , typename Partition_data >
void moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::build_tree ( Iterator  begin,
Iterator  end,
const Node_index  node,
const Directions &  directions,
Partition_data _data,
int &  depth,
const bool  is_middle = false 
) [inline, private]

Definition at line 470 of file element_tree.hpp.

References moab::common_tree::assign_entities(), children, moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::determine_split(), dim, ELEMENTS_PER_LEAF, entities, EPSILON, and moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::tree_.

Referenced by moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::Element_tree().

    {
        std::size_t number_elements = std::distance( begin, end );
        if( depth < MAX_DEPTH && number_elements > ELEMENTS_PER_LEAF && ( !is_middle || directions.any() ) )
        {
            determine_split( begin, end, _data, directions );
            // count_sort( begin, end, _data);
            std::sort( begin, end, _element_tree::Iterator_comparator< Iterator >() );
            // update the tree
            tree_[node] = _data;
            Iterator middle_begin( begin + _data.left() );
            Iterator middle_end( middle_begin + _data.middle() );
            std::vector< int > depths( 3, depth );
            // left subtree
            if( _data.left() > 0 )
            {
                Partition_data data( _data );
                tree_.push_back( Node() );
                tree_[node].children[0] = tree_.size() - 1;
                correct_bounding_box( _data, data.bounding_box, 0 );
                Directions new_directions( directions );
                const bool axis_is_very_small =
                    ( data.bounding_box.max[_data.dim] - data.bounding_box.min[_data.dim] < EPSILON );
                new_directions.set( _data.dim, axis_is_very_small );
                build_tree( begin, middle_begin, tree_[node].children[0], new_directions, data, ++depths[0],
                            is_middle );
            }
            // middle subtree
            if( _data.middle() > 0 )
            {
                Partition_data data( _data );
                tree_.push_back( Node() );
                tree_[node].children[1] = tree_.size() - 1;
                correct_bounding_box( _data, data.bounding_box, 1 );
                // force the middle subtree to split
                // in a different direction from this one
                Directions new_directions( directions );
                new_directions.flip( tree_[node].dim );
                bool axis_is_very_small =
                    ( data.bounding_box.max[_data.dim] - data.bounding_box.min[_data.dim] < EPSILON );
                new_directions.set( _data.dim, axis_is_very_small );
                build_tree( middle_begin, middle_end, tree_[node].children[1], new_directions, data, ++depths[1],
                            true );
            }
            // right subtree
            if( _data.right() > 0 )
            {
                Partition_data data( _data );
                tree_.push_back( Node() );
                tree_[node].children[2] = tree_.size() - 1;
                correct_bounding_box( _data, data.bounding_box, 2 );
                Directions new_directions( directions );
                const bool axis_is_very_small =
                    ( data.bounding_box.max[_data.dim] - data.bounding_box.min[_data.dim] < EPSILON );
                new_directions.set( _data.dim, axis_is_very_small );

                build_tree( middle_end, end, tree_[node].children[2], directions, data, ++depths[2], is_middle );
            }
            depth = *std::max_element( depths.begin(), depths.end() );
        }
        if( tree_[node].leaf() )
        {
            common_tree::assign_entities( tree_[node].entities, begin, end );
        }
    }
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
template<typename Iterator , typename Split_data >
void moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::compute_split ( Iterator &  begin,
Iterator &  end,
Split_data &  split_data,
bool  iteration = false 
) [inline, private]

Definition at line 295 of file element_tree.hpp.

References dim, left_line, moab::common_tree::print_vector(), right_line, and split.

Referenced by moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::determine_split().

    {
        typedef typename Iterator::value_type::value_type Map_value_type;
        typedef typename Map_value_type::second_type::second_type Bitset;
        // we will update the left/right line
        double& left_line  = split_data.left_line;
        double& right_line = split_data.right_line;
        double& split      = split_data.split;
        const int& dim     = split_data.dim;
#ifdef ELEMENT_TREE_DEBUG
        std::cout << std::endl;
        std::cout << "-------------------" << std::endl;
        std::cout << "dim: " << dim << " split: " << split << std::endl;
        std::cout << "bounding_box min: ";
        print_vector( split_data.bounding_box.min );
        std::cout << "bounding_box max: ";
        print_vector( split_data.bounding_box.max );
#endif
        // for each elt determine if left/middle/right
        for( Iterator i = begin; i != end; ++i )
        {
            const Box& box = ( *i )->second.first;
            Bitset& bits   = ( *i )->second.second;
            // will be 0 if on left, will be 1 if in the middle
            // and 2 if on the right;
            const bool on_left   = ( box.max[dim] < split );
            const bool on_right  = ( box.min[dim] > split );
            const bool in_middle = !on_left && !on_right;
            // set the corresponding bits in the bit vector
            // looks like: [x_1 = 00 | x_2 = 00 | .. | z_1 = 00 | z_2 = 00]
            // two bits, left = 00, middle = 01, right = 10
            const int index = 4 * dim + 2 * iteration;
            if( on_left )
            {
                split_data.sizes[0]++;
            }
            else if( in_middle )
            {
                split_data.sizes[1]++;
                bits.set( index, 1 );
                left_line  = std::min( left_line, box.min[dim] );
                right_line = std::max( right_line, box.max[dim] );
            }
            else if( on_right )
            {
                bits.set( index + 1, 1 );
                split_data.sizes[2]++;
            }
        }
#ifdef ELEMENT_TREE_DEBUG
        std::size_t _count = std::accumulate( split_data.sizes.begin(), split_data.sizes.end(), 0 );
        std::size_t total  = std::distance( begin, end );
        if( total != _count )
        {
            std::cout << total << "vs. " << _count << std::endl;
        }
        std::cout << " left_line: " << left_line;
        std::cout << " right_line: " << right_line << std::endl;
        std::cout << "co/mputed partition size: ";
        print_vector( split_data.sizes );
        std::cout << "-------------------" << std::endl;
#endif
    }
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
template<typename Iterator , typename Split_data , typename Directions >
void moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::determine_split ( Iterator &  begin,
Iterator &  end,
Split_data &  data,
const Directions &  directions 
) [inline, private]

Definition at line 401 of file element_tree.hpp.

References moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::compute_split(), left_rightline, moab::common_tree::print_vector(), right_leftline, and moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::update_split_line().

Referenced by moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::build_tree().

    {
        typedef typename Iterator::value_type Pair;
        typedef typename Pair::value_type Map_value_type;
        typedef typename Map_value_type::second_type::second_type Bitset;
        typedef typename Map_value_type::second_type::first_type Box;
        typedef typename std::map< std::size_t, Split_data > Splits;
        typedef typename Splits::value_type Split;
        typedef _element_tree::Split_comparator< Split > Comparator;
        Splits splits;
        for( std::size_t dir = 0; dir < directions.size(); ++dir )
        {
            if( directions.test( dir ) )
            {
                Split_data split_data( data.bounding_box, dir );
                compute_split( begin, end, split_data );
                splits.insert( std::make_pair( 2 * dir, split_data ) );
                if( update_split_line( split_data ) )
                {
                    compute_split( begin, end, split_data, true );
                    splits.insert( std::make_pair( 2 * dir + 1, split_data ) );
                }
            }
        }
        Split best = *std::min_element( splits.begin(), splits.end(), Comparator() );
#ifdef ELEMENT_TREE_DEBUG
        std::cout << "best: " << Comparator().split_objective( best ) << " ";
        print_vector( best.second.sizes );
#endif
        const int dir          = best.first / 2;
        const int iter         = best.first % 2;
        double& left_rightline = best.second.left_rightline = best.second.bounding_box.min[dir];
        double& right_leftline = best.second.right_leftline = best.second.bounding_box.max[dir];
        Bitset mask( 0 );
        mask.flip( 4 * dir + 2 * iter ).flip( 4 * dir + 2 * iter + 1 );
        for( Iterator i = begin; i != end; ++i )
        {
            Bitset& bits   = ( *i )->second.second;
            const Box& box = ( *i )->second.first;
            // replace 12 bits with just two.
            bits &= mask;
            bits >>= 4 * dir + 2 * iter;
            // if box is labeled left/right but properly contained
            // in the middle, move the element into the middle.
            // we can shrink the size of left/right
            switch( bits.to_ulong() )
            {
                case 0:
                    if( box.max[dir] > best.second.left_line )
                    {
                        left_rightline = std::max( left_rightline, box.max[dir] );
                    }
                    break;
                case 2:
                    if( box.min[dir] < best.second.right_line )
                    {
                        right_leftline = std::min( right_leftline, box.max[dir] );
                    }
                    break;
            }
        }
        data = best.second;
    }
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
template<typename Vector , typename Result >
Result& moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::find ( const Vector &  point,
Result &  result 
) const [inline]

Definition at line 591 of file element_tree.hpp.

References moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::_find_point().

    {
        typedef typename Vector::const_iterator Point_iterator;
        typedef typename Box::Pair Pair;
        typedef typename Pair::first_type Box_iterator;
        return _find_point( point, 0, result );
    }
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
template<typename Split_data >
bool moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::update_split_line ( Split_data &  data) const [inline, private]

Definition at line 360 of file element_tree.hpp.

Referenced by moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::determine_split().

    {
        const int max        = 2 * ( data.sizes[2] > data.sizes[0] );
        const int min        = 2 * ( 1 - ( max == 2 ) );
        bool one_side_empty  = data.sizes[max] == 0 || data.sizes[min] == 0;
        double balance_ratio = data.sizes[max] - data.sizes[min];
        // if ( !one_side_empty && balance_ratio < .05*total){ return false; }
        if( !one_side_empty )
        {
            // if we have some imbalance on left/right
            // try to fix the situation
            balance_ratio /= data.sizes[max];
            data.split += ( max - 1 ) * balance_ratio * ( data.split / 2.0 );
        }
        else
        {
            // if the (left) side is empty move the split line just past the
            // extent of the (left) line of the middle box.
            // if middle encompasses everything then wiggle
            // the split line a bit and hope for the best..
            const double left_distance  = std::abs( data.left_line - data.split );
            const double right_distance = std::abs( data.right_line - data.split );
            if( ( data.sizes[0] == 0 ) && ( data.sizes[2] != 0 ) )
            {
                data.split += right_distance;
            }
            else if( data.sizes[2] == 0 && data.sizes[0] != 0 )
            {
                data.split -= left_distance;
            }
            else
            {
                data.split *= 1.05;
            }
        }
        data.left_line = data.right_line = data.split;
        data.sizes.assign( data.sizes.size(), 0 );
        return true;
    }

Member Data Documentation

template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
Box moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::bounding_box [private]
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
Parametrizer moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::entity_contains [private]
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
const Entity_handles& moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::entity_handles_ [private]
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
Moab& moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::moab [private]
template<typename _Entity_handles , typename _Box , typename _Moab , typename _Parametrizer >
Nodes moab::Element_tree< _Entity_handles, _Box, _Moab, _Parametrizer >::tree_ [private]

List of all members.


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