I have just started to use boost via boost::bimap.
I have a problem when using iterators to build a new bimap.
Here is a sample of my code :

class MyObject {...Definitions of MyObject...};
struct Position{};


// Wherever you meet Pos, it will mean Position
// Define my bimap type :
typedef boost::bimap<
        set_of<tagged<double,Position> >,
        multiset_of<tagged< MyObject*, MyObject> > // because at one position, I can have many objects .... is that right ?
    > PosMap;
typedef PosMap::value_type MyObjectPos;

PosMap posX ;
// This posX maps the position of my objects

for(MyObject::iterator it = MyObject.begin() ; it!= = MyObject.end() ; it++)
{
// it is an iterator on MyObjects

       Vector3D position = it->GetPosition() ;
//      Fill my map :
        posX.insert(MyObjectPos(position.x(), (*it)));
}

// Now I would like just to select a window on my posX bimap:
double x = something ;
double R = something else ;
//    PosMap::left_iterator tmp_itLowX  = posX.left.lower_bound(x-R);
//    PosMap::left_iterator tmp_itUpX  = posX.left.lower_bound(x+R);

// Here is my problem :
PosMap m(posX.left.lower_bound(x-R), posX.left.lower_bound(x+R));

What is wrong with this piece of code ... ?

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Here is the output from the compiler :

./boost/bimap/container_adaptor/ordered_associative_container_adaptor.hpp: In member function ‘typename boost::bimaps::container_adaptor::ordered_associative_container_adaptor_base<Base, Iterator, ConstIterator, ReverseIterator, ConstReverseIterator, KeyType, IteratorToBaseConverter, IteratorFromBaseConverter, ReverseIteratorFromBaseConverter, ValueToBaseConverter, ValueFromBaseConverter, KeyToBaseConverter, FunctorsFromDerivedClasses>::type::iterator boost::bimaps::container_adaptor::ordered_associative_container_adaptor<Base, Iterator, ConstIterator, ReverseIterator, ConstReverseIterator, KeyType, IteratorToBaseConverter, IteratorFromBaseConverter, ReverseIteratorFromBaseConverter, ValueToBaseConverter, ValueFromBaseConverter, KeyToBaseConverter, FunctorsFromDerivedClasses>::lower_bound(const CompatibleKey&) [with CompatibleKey = double, Base = boost::multi_index::detail::ordered_index<boost::multi_index::member<boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>, double, &boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>::left>, std::less<double>, boost::multi_index::detail::nth_layer<2, boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, boost::bimaps::detail::bimap_core<boost::bimaps::set_of<boost::bimaps::tags::tagged<double, Position>, std::less<double> >, boost::bimaps::multiset_of<boost::bimaps::tags::tagged<MyObject*, MyObject>, std::less<MyObject*> >, mpl_::na, mpl_::na, mpl_::na>::core_indices, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > >, boost::mpl::v_item<Position, boost::mpl::vector0<mpl_::na>, 0>, boost::multi_index::detail::ordered_unique_tag>, Iterator = boost::bimaps::detail::set_view_iterator<boost::multi_index::detail::bidir_node_iterator<boost::multi_index::detail::ordered_index_node<boost::multi_index::detail::index_node_base<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > > > > >, ConstIterator = boost::bimaps::detail::const_set_view_iterator<boost::multi_index::detail::bidir_node_iterator<boost::multi_index::detail::ordered_index_node<boost::multi_index::detail::index_node_base<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > > > > >, ReverseIterator = boost::bimaps::detail::set_view_iterator<boost::reverse_iterator<boost::multi_index::detail::bidir_node_iterator<boost::multi_index::detail::ordered_index_node<boost::multi_index::detail::index_node_base<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > > > > > >, ConstReverseIterator = boost::bimaps::detail::const_set_view_iterator<boost::reverse_iterator<boost::multi_index::detail::bidir_node_iterator<boost::multi_index::detail::ordered_index_node<boost::multi_index::detail::index_node_base<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > > > > > >, KeyType = boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, false>, IteratorToBaseConverter = boost::bimaps::container_adaptor::support::iterator_facade_to_base<boost::bimaps::detail::set_view_iterator<boost::multi_index::detail::bidir_node_iterator<boost::multi_index::detail::ordered_index_node<boost::multi_index::detail::index_node_base<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > > > > >, boost::bimaps::detail::const_set_view_iterator<boost::multi_index::detail::bidir_node_iterator<boost::multi_index::detail::ordered_index_node<boost::multi_index::detail::index_node_base<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, std::allocator<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> > > > > > >, IteratorFromBaseConverter = mpl_::na, ReverseIteratorFromBaseConverter = mpl_::na, ValueToBaseConverter = boost::bimaps::relation::detail::get_mutable_relation_functor<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> >, ValueFromBaseConverter = boost::bimaps::relation::support::get_above_view_functor<boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true> >, KeyToBaseConverter = boost::bimaps::detail::set_view_key_to_base<double, boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, boost::multi_index::member<boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>, double, &boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>::left> >, FunctorsFromDerivedClasses = boost::mpl::vector<mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na, mpl_::na>]’:
include/MyObjectManager.icc:184:   instantiated from ‘std::vector<MyObject*, std::allocator<MyObject*> > MyObjectManager<T>::FindClosestITsWithinGivenRange(const ThreeVector&, double) [with T = Object]’
kit.cc:240:   instantiated from here
./boost/bimap/container_adaptor/ordered_associative_container_adaptor.hpp:257: erreur: no match for call to ‘(boost::bimaps::detail::set_view_key_to_base<double, boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, boost::multi_index::member<boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>, double, &boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>::left> >) (const double&)’
./boost/bimap/detail/set_view_base.hpp:38: note: candidats sont: const Key boost::bimaps::detail::set_view_key_to_base<Key, Value, KeyToBase>::operator()(const Value&) const [with Key = double, Value = boost::bimaps::relation::mutant_relation<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, mpl_::na, true>, KeyToBase = boost::multi_index::member<boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>, double, &boost::bimaps::relation::detail::relation_storage<boost::bimaps::tags::tagged<const double, Position>, boost::bimaps::tags::tagged<MyObject* const, MyObject>, true>::left>]

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Thank you very much for your help and guidance,

Mathieu