I try to replace std::multiset with std::priority_queue. But I was dissapointed with the speed results. Running time of the algorithm increase by 50%...
Here are the corresponding commands:
top() = begin();
pop() = erase(knn.begin());
push() = insert();
I am surprised with the speed of priority_queue implementation, I expected different results (better for PQ)... Conceptually, the multiset is being used as a priority queue. Why are the priority queue and the multiset have such different performance, even with -O2
?
Average of ten results, MSVS 2010, Win XP, 32 bit, method findAllKNN2 () (see bellow, please)
MS
N time [s]
100 000 0.5
1 000 000 8
PQ
N time [s]
100 000 0.8
1 000 000 12
What could cause these results? No other changes of the source code have been made... Thanks for your help...
MS Implementation:
template <typename Point>
struct TKDNodePriority
{
KDNode <Point> *node;
typename Point::Type priority;
TKDNodePriority() : node ( NULL ), priority ( 0 ) {}
TKDNodePriority ( KDNode <Point> *node_, typename Point::Type priority_ ) : node ( node_ ), priority ( priority_ ) {}
bool operator < ( const TKDNodePriority <Point> &n1 ) const
{
return priority > n1.priority;
}
};
template <typename Point>
struct TNNeighboursList
{
typedef std::multiset < TKDNodePriority <Point> > Type;
};
Method:
template <typename Point>
template <typename Point2>
void KDTree2D <Point>::findAllKNN2 ( const Point2 * point, typename TNNeighboursList <Point>::Type & knn, unsigned int k, KDNode <Point> *node, const unsigned int depth ) const
{
if ( node == NULL )
{
return;
}
if ( point->getCoordinate ( depth % 2 ) <= node->getData()->getCoordinate ( depth % 2 ) )
{
findAllKNN2 ( point, knn, k, node->getLeft(), depth + 1 );
}
else
{
findAllKNN2 ( point, knn, k, node->getRight(), depth + 1 );
}
typename Point::Type dist_q_node = ( node->getData()->getX() - point->getX() ) * ( node->getData()->getX() - point->getX() ) +
( node->getData()->getY() - point->getY() ) * ( node->getData()->getY() - point->getY() );
if (knn.size() == k)
{
if (dist_q_node < knn.begin()->priority )
{
knn.erase(knn.begin());
knn.insert ( TKDNodePriority <Point> ( node, dist_q_node ) );
}
}
else
{
knn.insert ( TKDNodePriority <Point> ( node, dist_q_node ) );
}
typename Point::Type dist_q_node_straight = ( point->getCoordinate ( node->getDepth() % 2 ) - node->getData()->getCoordinate ( node->getDepth() % 2 ) ) *
( point->getCoordinate ( node->getDepth() % 2 ) - node->getData()->getCoordinate ( node->getDepth() % 2 ) ) ;
typename Point::Type top_priority = knn.begin()->priority;
if ( knn.size() < k || dist_q_node_straight < top_priority )
{
if ( point->getCoordinate ( node->getDepth() % 2 ) < node->getData()->getCoordinate ( node->getDepth() % 2 ) )
{
findAllKNN2 ( point, knn, k, node->getRight(), depth + 1 );
}
else
{
findAllKNN2 ( point, knn, k, node->getLeft(), depth + 1 );
}
}
}
PQ implementation (slower, why?)
template <typename Point>
struct TKDNodePriority
{
KDNode <Point> *node;
typename Point::Type priority;
TKDNodePriority() : node ( NULL ), priority ( 0 ) {}
TKDNodePriority ( KDNode <Point> *node_, typename Point::Type priority_ ) : node ( node_ ), priority ( priority_ ) {}
bool operator < ( const TKDNodePriority <Point> &n1 ) const
{
return priority > n1.priority;
}
};
template <typename Point>
struct TNNeighboursList
{
typedef std::priority_queue< TKDNodePriority <Point> > Type;
};
Method:
template <typename Point>
template <typename Point2>
void KDTree2D <Point>::findAllKNN2 ( const Point2 * point, typename TNNeighboursList <Point>::Type & knn, unsigned int k, KDNode <Point> *node, const unsigned int depth ) const
{
if ( node == NULL )
{
return;
}
if ( point->getCoordinate ( depth % 2 ) <= node->getData()->getCoordinate ( depth % 2 ) )
{
findAllKNN2 ( point, knn, k, node->getLeft(), depth + 1 );
}
else
{
findAllKNN2 ( point, knn, k, node->getRight(), depth + 1 );
}
typename Point::Type dist_q_node = ( node->getData()->getX() - point->getX() ) * ( node->getData()->getX() - point->getX() ) +
( node->getData()->getY() - point->getY() ) * ( node->getData()->getY() - point->getY() );
if (knn.size() == k)
{
if (dist_q_node < knn.top().priority )
{
knn.pop();
knn.push ( TKDNodePriority <Point> ( node, dist_q_node ) );
}
}
else
{
knn.push ( TKDNodePriority <Point> ( node, dist_q_node ) );
}
typename Point::Type dist_q_node_straight = ( point->getCoordinate ( node->getDepth() % 2 ) - node->getData()->getCoordinate ( node->getDepth() % 2 ) ) *
( point->getCoordinate ( node->getDepth() % 2 ) - node->getData()->getCoordinate ( node->getDepth() % 2 ) ) ;
typename Point::Type top_priority = knn.top().priority;
if ( knn.size() < k || dist_q_node_straight < top_priority )
{
if ( point->getCoordinate ( node->getDepth() % 2 ) < node->getData()->getCoordinate ( node->getDepth() % 2 ) )
{
findAllKNN2 ( point, knn, k, node->getRight(), depth + 1 );
}
else
{
findAllKNN2 ( point, knn, k, node->getLeft(), depth + 1 );
}
}
}