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The permutation iterator adaptor provides a permuted view of a given range. That is, the view includes every element of the given range but in a potentially different order. The adaptor takes two arguments:
Note that the permutation iterator is not limited to strict permutations of the given range V. The distance between begin and end of the reindexing iterators is allowed to be smaller compared to the size of the range V, in which case the permutation iterator only provides a permutation of a subrange of V. The indexes neither need to be unique. In this same context, it must be noted that the past the end permutation iterator is completely defined by means of the past-the-end iterator to the indices.
using namespace boost; int i = 0; typedef std::vector< int > element_range_type; typedef std::list< int > index_type; static const int element_range_size = 10; static const int index_size = 4; element_range_type elements( element_range_size ); for(element_range_type::iterator el_it = elements.begin() ; el_it != elements.end() ; ++el_it) *el_it = std::distance(elements.begin(), el_it); index_type indices( index_size ); for(index_type::iterator i_it = indices.begin() ; i_it != indices.end() ; ++i_it ) *i_it = element_range_size - index_size + std::distance(indices.begin(), i_it); std::reverse( indices.begin(), indices.end() ); typedef permutation_iterator< element_range_type::iterator, index_type::iterator > permutation_type; permutation_type begin = make_permutation_iterator( elements.begin(), indices.begin() ); permutation_type it = begin; permutation_type end = make_permutation_iterator( elements.begin(), indices.end() ); std::cout << "The original range is : "; std::copy( elements.begin(), elements.end(), std::ostream_iterator< int >( std::cout, " " ) ); std::cout << "\n"; std::cout << "The reindexing scheme is : "; std::copy( indices.begin(), indices.end(), std::ostream_iterator< int >( std::cout, " " ) ); std::cout << "\n"; std::cout << "The permutated range is : "; std::copy( begin, end, std::ostream_iterator< int >( std::cout, " " ) ); std::cout << "\n"; std::cout << "Elements at even indices in the permutation : "; it = begin; for(i = 0; i < index_size / 2 ; ++i, it+=2 ) std::cout << *it << " "; std::cout << "\n"; std::cout << "Permutation backwards : "; it = begin + (index_size); assert( it != begin ); for( ; it-- != begin ; ) std::cout << *it << " "; std::cout << "\n"; std::cout << "Iterate backward with stride 2 : "; it = begin + (index_size - 1); for(i = 0 ; i < index_size / 2 ; ++i, it-=2 ) std::cout << *it << " "; std::cout << "\n";
The output is:
The original range is : 0 1 2 3 4 5 6 7 8 9 The reindexing scheme is : 9 8 7 6 The permutated range is : 9 8 7 6 Elements at even indices in the permutation : 9 7 Permutation backwards : 6 7 8 9 Iterate backward with stride 2 : 6 8
The source code for this example can be found here.
template< class ElementIterator , class IndexIterator , class ValueT = use_default , class CategoryT = use_default , class ReferenceT = use_default , class DifferenceT = use_default > class permutation_iterator { public: permutation_iterator(); explicit permutation_iterator(ElementIterator x, IndexIterator y); template< class OEIter, class OIIter, class V, class C, class R, class D > permutation_iterator( permutation_iterator<OEIter, OIIter, V, C, R, D> const& r , typename enable_if_convertible<OEIter, ElementIterator>::type* = 0 , typename enable_if_convertible<OIIter, IndexIterator>::type* = 0 ); reference operator*() const; permutation_iterator& operator++(); ElementIterator const& base() const; private: ElementIterator m_elt; // exposition only IndexIterator m_order; // exposition only }; template <class ElementIterator, class IndexIterator> permutation_iterator<ElementIterator, IndexIterator> make_permutation_iterator( ElementIterator e, IndexIterator i);
        ElementIterator shall model
        Random Access Traversal Iterator. IndexIterator
        shall model Readable Iterator. The value type of the IndexIterator
        must be convertible to the difference type of ElementIterator.
      
        permutation_iterator models
        the same iterator traversal concepts as IndexIterator
        and the same iterator access concepts as ElementIterator.
      
        If IndexIterator models Single
        Pass Iterator and ElementIterator
        models Readable Iterator then permutation_iterator
        models Input Iterator.
      
        If IndexIterator models Forward
        Traversal Iterator and ElementIterator
        models Readable Lvalue Iterator then permutation_iterator
        models Forward Iterator.
      
        If IndexIterator models Bidirectional
        Traversal Iterator and ElementIterator
        models Readable Lvalue Iterator then permutation_iterator
        models Bidirectional Iterator.
      
        If IndexIterator models Random
        Access Traversal Iterator and ElementIterator
        models Readable Lvalue Iterator then permutation_iterator
        models Random Access Iterator.
      
        permutation_iterator<E1, X, V1,
        C2, R1, D1> is interoperable with permutation_iterator<E2, Y,
        V2, C2, R2, D2>
        if and only if X is interoperable
        with Y and E1 is convertible to E2.
      
        In addition to those operations required by the concepts that permutation_iterator models, permutation_iterator provides the following
        operations.
      
permutation_iterator();
        Effects:  Default constructs m_elt and m_order.
      
explicit permutation_iterator(ElementIterator x, IndexIterator y);
        Effects:  Constructs m_elt
        from x and m_order from y.
      
template< class OEIter, class OIIter, class V, class C, class R, class D > permutation_iterator( permutation_iterator<OEIter, OIIter, V, C, R, D> const& r , typename enable_if_convertible<OEIter, ElementIterator>::type* = 0 , typename enable_if_convertible<OIIter, IndexIterator>::type* = 0 );
        Effects:  Constructs m_elt
        from r.m_elt and m_order
        from y.m_order.
      
reference operator*() const;
        Returns:  *(m_elt + *m_order)
      
permutation_iterator& operator++();
        Effects:  ++m_order
 Returns:
         *this
      
ElementIterator const& base() const;
        Returns:  m_order
      
template <class ElementIterator, class IndexIterator> permutation_iterator<ElementIterator, IndexIterator> make_permutation_iterator(ElementIterator e, IndexIterator i);
        Returns:  permutation_iterator<ElementIterator, IndexIterator>(e, i)