]> git.proxmox.com Git - ceph.git/blobdiff - ceph/src/boost/boost/graph/grid_graph.hpp
update source to Ceph Pacific 16.2.2
[ceph.git] / ceph / src / boost / boost / graph / grid_graph.hpp
index 9a09fca347912461bd605aa153020cc0a2ea1a81..fa2fa69d691f96763bdd14451edd136a551822ef 100644 (file)
 #include <boost/property_map/property_map.hpp>
 
 #define BOOST_GRID_GRAPH_TEMPLATE_PARAMS \
-  std::size_t DimensionsT, typename VertexIndexT, \
-    typename EdgeIndexT
+    std::size_t DimensionsT, typename VertexIndexT, typename EdgeIndexT
 
 #define BOOST_GRID_GRAPH_TYPE \
-  grid_graph<DimensionsT, VertexIndexT, EdgeIndexT>
+    grid_graph< DimensionsT, VertexIndexT, EdgeIndexT >
 
-#define BOOST_GRID_GRAPH_TRAITS_T \
-  typename graph_traits<BOOST_GRID_GRAPH_TYPE >
+#define BOOST_GRID_GRAPH_TRAITS_T typename graph_traits< BOOST_GRID_GRAPH_TYPE >
 
-namespace boost {
+namespace boost
+{
 
-  // Class prototype for grid_graph
-  template<BOOST_GRID_GRAPH_TEMPLATE_PARAMS>
-  class grid_graph;
+// Class prototype for grid_graph
+template < BOOST_GRID_GRAPH_TEMPLATE_PARAMS > class grid_graph;
 
-  //===================
-  // Index Property Map
-  //===================
+//===================
+// Index Property Map
+//===================
 
-  template <typename Graph,
-            typename Descriptor,
-            typename Index>
-  struct grid_graph_index_map {
-  public:
+template < typename Graph, typename Descriptor, typename Index >
+struct grid_graph_index_map
+{
+public:
     typedef Index value_type;
     typedef Index reference_type;
     typedef reference_type reference;
     typedef Descriptor key_type;
     typedef readable_property_map_tag category;
 
-    grid_graph_index_map() { }
+    grid_graph_index_map() {}
 
-    grid_graph_index_map(const Graph& graph) :
-      m_graph(&graph) { }
+    grid_graph_index_map(const Graph& graph) : m_graph(&graph) {}
 
-    value_type operator[](key_type key) const {
-      return (m_graph->index_of(key));
+    value_type operator[](key_type key) const
+    {
+        return (m_graph->index_of(key));
     }
 
-    friend inline Index
-    get(const grid_graph_index_map<Graph, Descriptor, Index>& index_map,
-        const typename grid_graph_index_map<Graph, Descriptor, Index>::key_type& key)
+    friend inline Index get(
+        const grid_graph_index_map< Graph, Descriptor, Index >& index_map,
+        const typename grid_graph_index_map< Graph, Descriptor,
+            Index >::key_type& key)
     {
-      return (index_map[key]);
+        return (index_map[key]);
     }
 
-  protected:
+protected:
     const Graph* m_graph;
-  };
-
-  template<BOOST_GRID_GRAPH_TEMPLATE_PARAMS>
-  struct property_map<BOOST_GRID_GRAPH_TYPE, vertex_index_t> {
-    typedef grid_graph_index_map<BOOST_GRID_GRAPH_TYPE,
-                                 BOOST_GRID_GRAPH_TRAITS_T::vertex_descriptor,
-                                 BOOST_GRID_GRAPH_TRAITS_T::vertices_size_type> type;
+};
+
+template < BOOST_GRID_GRAPH_TEMPLATE_PARAMS >
+struct property_map< BOOST_GRID_GRAPH_TYPE, vertex_index_t >
+{
+    typedef grid_graph_index_map< BOOST_GRID_GRAPH_TYPE,
+        BOOST_GRID_GRAPH_TRAITS_T::vertex_descriptor,
+        BOOST_GRID_GRAPH_TRAITS_T::vertices_size_type >
+        type;
     typedef type const_type;
-  };
-
-  template<BOOST_GRID_GRAPH_TEMPLATE_PARAMS>
-  struct property_map<BOOST_GRID_GRAPH_TYPE, edge_index_t> {
-    typedef grid_graph_index_map<BOOST_GRID_GRAPH_TYPE,
-                                 BOOST_GRID_GRAPH_TRAITS_T::edge_descriptor,
-                                 BOOST_GRID_GRAPH_TRAITS_T::edges_size_type> type;
+};
+
+template < BOOST_GRID_GRAPH_TEMPLATE_PARAMS >
+struct property_map< BOOST_GRID_GRAPH_TYPE, edge_index_t >
+{
+    typedef grid_graph_index_map< BOOST_GRID_GRAPH_TYPE,
+        BOOST_GRID_GRAPH_TRAITS_T::edge_descriptor,
+        BOOST_GRID_GRAPH_TRAITS_T::edges_size_type >
+        type;
     typedef type const_type;
-  };
+};
 
-  //==========================
-  // Reverse Edge Property Map
-  //==========================
+//==========================
+// Reverse Edge Property Map
+//==========================
 
-  template <typename Descriptor>
-  struct grid_graph_reverse_edge_map {
-  public:
+template < typename Descriptor > struct grid_graph_reverse_edge_map
+{
+public:
     typedef Descriptor value_type;
     typedef Descriptor reference_type;
     typedef reference_type reference;
     typedef Descriptor key_type;
     typedef readable_property_map_tag category;
 
-    grid_graph_reverse_edge_map() { }
+    grid_graph_reverse_edge_map() {}
 
-    value_type operator[](const key_type& key) const {
-      return (value_type(key.second, key.first));
+    value_type operator[](const key_type& key) const
+    {
+        return (value_type(key.second, key.first));
     }
 
-    friend inline Descriptor
-    get(const grid_graph_reverse_edge_map<Descriptor>& rev_map,
-        const typename grid_graph_reverse_edge_map<Descriptor>::key_type& key)
+    friend inline Descriptor get(
+        const grid_graph_reverse_edge_map< Descriptor >& rev_map,
+        const typename grid_graph_reverse_edge_map< Descriptor >::key_type& key)
     {
-      return (rev_map[key]);
+        return (rev_map[key]);
     }
-  };
-
-  template<BOOST_GRID_GRAPH_TEMPLATE_PARAMS>
-  struct property_map<BOOST_GRID_GRAPH_TYPE, edge_reverse_t> {
-    typedef grid_graph_reverse_edge_map<BOOST_GRID_GRAPH_TRAITS_T::edge_descriptor> type;
+};
+
+template < BOOST_GRID_GRAPH_TEMPLATE_PARAMS >
+struct property_map< BOOST_GRID_GRAPH_TYPE, edge_reverse_t >
+{
+    typedef grid_graph_reverse_edge_map<
+        BOOST_GRID_GRAPH_TRAITS_T::edge_descriptor >
+        type;
     typedef type const_type;
-  };
+};
 
-  //=================
-  // Function Objects
-  //=================
+//=================
+// Function Objects
+//=================
 
-  namespace detail {
+namespace detail
+{
 
     // vertex_at
-    template <typename Graph>
-    struct grid_graph_vertex_at {
+    template < typename Graph > struct grid_graph_vertex_at
+    {
 
-      typedef typename graph_traits<Graph>::vertex_descriptor result_type;
+        typedef typename graph_traits< Graph >::vertex_descriptor result_type;
 
-      grid_graph_vertex_at() : m_graph(0) {}
+        grid_graph_vertex_at() : m_graph(0) {}
 
-      grid_graph_vertex_at(const Graph* graph) :
-        m_graph(graph) { }
+        grid_graph_vertex_at(const Graph* graph) : m_graph(graph) {}
 
-      result_type
-      operator()
-      (typename graph_traits<Graph>::vertices_size_type vertex_index) const {
-        return (vertex(vertex_index, *m_graph));
-      }
+        result_type operator()(
+            typename graph_traits< Graph >::vertices_size_type vertex_index)
+            const
+        {
+            return (vertex(vertex_index, *m_graph));
+        }
 
     private:
-      const Graph* m_graph;
+        const Graph* m_graph;
     };
 
     // out_edge_at
-    template <typename Graph>
-    struct grid_graph_out_edge_at {
+    template < typename Graph > struct grid_graph_out_edge_at
+    {
 
     private:
-      typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
+        typedef
+            typename graph_traits< Graph >::vertex_descriptor vertex_descriptor;
 
     public:
-      typedef typename graph_traits<Graph>::edge_descriptor result_type;
+        typedef typename graph_traits< Graph >::edge_descriptor result_type;
 
-      grid_graph_out_edge_at() : m_vertex(), m_graph(0) {}
+        grid_graph_out_edge_at() : m_vertex(), m_graph(0) {}
 
-      grid_graph_out_edge_at(vertex_descriptor source_vertex,
-                             const Graph* graph) :
-        m_vertex(source_vertex),
-        m_graph(graph) { }
+        grid_graph_out_edge_at(
+            vertex_descriptor source_vertex, const Graph* graph)
+        : m_vertex(source_vertex), m_graph(graph)
+        {
+        }
 
-      result_type
-      operator()
-      (typename graph_traits<Graph>::degree_size_type out_edge_index) const {
-        return (out_edge_at(m_vertex, out_edge_index, *m_graph));
-      }
+        result_type operator()(
+            typename graph_traits< Graph >::degree_size_type out_edge_index)
+            const
+        {
+            return (out_edge_at(m_vertex, out_edge_index, *m_graph));
+        }
 
     private:
-      vertex_descriptor m_vertex;
-      const Graph* m_graph;
+        vertex_descriptor m_vertex;
+        const Graph* m_graph;
     };
 
     // in_edge_at
-    template <typename Graph>
-    struct grid_graph_in_edge_at {
+    template < typename Graph > struct grid_graph_in_edge_at
+    {
 
     private:
-      typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
+        typedef
+            typename graph_traits< Graph >::vertex_descriptor vertex_descriptor;
 
     public:
-      typedef typename graph_traits<Graph>::edge_descriptor result_type;
+        typedef typename graph_traits< Graph >::edge_descriptor result_type;
 
-      grid_graph_in_edge_at() : m_vertex(), m_graph(0) {}
+        grid_graph_in_edge_at() : m_vertex(), m_graph(0) {}
 
-      grid_graph_in_edge_at(vertex_descriptor target_vertex,
-                            const Graph* graph) :
-        m_vertex(target_vertex),
-        m_graph(graph) { }
+        grid_graph_in_edge_at(
+            vertex_descriptor target_vertex, const Graph* graph)
+        : m_vertex(target_vertex), m_graph(graph)
+        {
+        }
 
-      result_type
-      operator()
-      (typename graph_traits<Graph>::degree_size_type in_edge_index) const {
-        return (in_edge_at(m_vertex, in_edge_index, *m_graph));
-      }
+        result_type operator()(
+            typename graph_traits< Graph >::degree_size_type in_edge_index)
+            const
+        {
+            return (in_edge_at(m_vertex, in_edge_index, *m_graph));
+        }
 
     private:
-      vertex_descriptor m_vertex;
-      const Graph* m_graph;
+        vertex_descriptor m_vertex;
+        const Graph* m_graph;
     };
 
     // edge_at
-    template <typename Graph>
-    struct grid_graph_edge_at {
+    template < typename Graph > struct grid_graph_edge_at
+    {
 
-      typedef typename graph_traits<Graph>::edge_descriptor result_type;
+        typedef typename graph_traits< Graph >::edge_descriptor result_type;
 
-      grid_graph_edge_at() : m_graph(0) {}
+        grid_graph_edge_at() : m_graph(0) {}
 
-      grid_graph_edge_at(const Graph* graph) :
-        m_graph(graph) { }
+        grid_graph_edge_at(const Graph* graph) : m_graph(graph) {}
 
-      result_type
-      operator()
-      (typename graph_traits<Graph>::edges_size_type edge_index) const {
-        return (edge_at(edge_index, *m_graph));
-      }
+        result_type operator()(
+            typename graph_traits< Graph >::edges_size_type edge_index) const
+        {
+            return (edge_at(edge_index, *m_graph));
+        }
 
     private:
-      const Graph* m_graph;
+        const Graph* m_graph;
     };
 
     // adjacent_vertex_at
-    template <typename Graph>
-    struct grid_graph_adjacent_vertex_at {
+    template < typename Graph > struct grid_graph_adjacent_vertex_at
+    {
 
     public:
-      typedef typename graph_traits<Graph>::vertex_descriptor result_type;
+        typedef typename graph_traits< Graph >::vertex_descriptor result_type;
 
-      grid_graph_adjacent_vertex_at(result_type source_vertex,
-                                    const Graph* graph) :
-        m_vertex(source_vertex),
-        m_graph(graph) { }
+        grid_graph_adjacent_vertex_at(
+            result_type source_vertex, const Graph* graph)
+        : m_vertex(source_vertex), m_graph(graph)
+        {
+        }
 
-      result_type
-      operator()
-      (typename graph_traits<Graph>::degree_size_type adjacent_index) const {
-        return (target(out_edge_at(m_vertex, adjacent_index, *m_graph), *m_graph));
-      }
+        result_type operator()(
+            typename graph_traits< Graph >::degree_size_type adjacent_index)
+            const
+        {
+            return (target(
+                out_edge_at(m_vertex, adjacent_index, *m_graph), *m_graph));
+        }
 
     private:
-      result_type m_vertex;
-      const Graph* m_graph;
+        result_type m_vertex;
+        const Graph* m_graph;
     };
 
-  } // namespace detail
+} // namespace detail
 
-  //===========
-  // Grid Graph
-  //===========
+//===========
+// Grid Graph
+//===========
 
-  template <std::size_t Dimensions,
-            typename VertexIndex = std::size_t,
-            typename EdgeIndex = VertexIndex> 
-  class grid_graph {
+template < std::size_t Dimensions, typename VertexIndex = std::size_t,
+    typename EdgeIndex = VertexIndex >
+class grid_graph
+{
 
-  private:
-    typedef boost::array<bool, Dimensions> WrapDimensionArray;
-    grid_graph() { };
+private:
+    typedef boost::array< bool, Dimensions > WrapDimensionArray;
+    grid_graph() {};
 
-  public:
-
-    typedef grid_graph<Dimensions, VertexIndex, EdgeIndex> type;
+public:
+    typedef grid_graph< Dimensions, VertexIndex, EdgeIndex > type;
 
     // sizes
     typedef VertexIndex vertices_size_type;
@@ -275,736 +289,767 @@ namespace boost {
     typedef EdgeIndex degree_size_type;
 
     // descriptors
-    typedef boost::array<VertexIndex, Dimensions> vertex_descriptor;
-    typedef std::pair<vertex_descriptor, vertex_descriptor> edge_descriptor;
+    typedef boost::array< VertexIndex, Dimensions > vertex_descriptor;
+    typedef std::pair< vertex_descriptor, vertex_descriptor > edge_descriptor;
 
     // vertex_iterator
-    typedef counting_iterator<vertices_size_type> vertex_index_iterator;
-    typedef detail::grid_graph_vertex_at<type> vertex_function;
-    typedef transform_iterator<vertex_function, vertex_index_iterator> vertex_iterator;
+    typedef counting_iterator< vertices_size_type > vertex_index_iterator;
+    typedef detail::grid_graph_vertex_at< type > vertex_function;
+    typedef transform_iterator< vertex_function, vertex_index_iterator >
+        vertex_iterator;
 
     // edge_iterator
-    typedef counting_iterator<edges_size_type> edge_index_iterator;
-    typedef detail::grid_graph_edge_at<type> edge_function;
-    typedef transform_iterator<edge_function, edge_index_iterator> edge_iterator;
+    typedef counting_iterator< edges_size_type > edge_index_iterator;
+    typedef detail::grid_graph_edge_at< type > edge_function;
+    typedef transform_iterator< edge_function, edge_index_iterator >
+        edge_iterator;
 
     // out_edge_iterator
-    typedef counting_iterator<degree_size_type> degree_iterator;
-    typedef detail::grid_graph_out_edge_at<type> out_edge_function;
-    typedef transform_iterator<out_edge_function, degree_iterator> out_edge_iterator;
+    typedef counting_iterator< degree_size_type > degree_iterator;
+    typedef detail::grid_graph_out_edge_at< type > out_edge_function;
+    typedef transform_iterator< out_edge_function, degree_iterator >
+        out_edge_iterator;
 
     // in_edge_iterator
-    typedef detail::grid_graph_in_edge_at<type> in_edge_function;
-    typedef transform_iterator<in_edge_function, degree_iterator> in_edge_iterator;
+    typedef detail::grid_graph_in_edge_at< type > in_edge_function;
+    typedef transform_iterator< in_edge_function, degree_iterator >
+        in_edge_iterator;
 
     // adjacency_iterator
-    typedef detail::grid_graph_adjacent_vertex_at<type> adjacent_vertex_function;
-    typedef transform_iterator<adjacent_vertex_function, degree_iterator> adjacency_iterator;
+    typedef detail::grid_graph_adjacent_vertex_at< type >
+        adjacent_vertex_function;
+    typedef transform_iterator< adjacent_vertex_function, degree_iterator >
+        adjacency_iterator;
 
     // categories
     typedef directed_tag directed_category;
-    typedef disallow_parallel_edge_tag edge_parallel_category;    
+    typedef disallow_parallel_edge_tag edge_parallel_category;
     struct traversal_category : virtual public incidence_graph_tag,
                                 virtual public adjacency_graph_tag,
                                 virtual public vertex_list_graph_tag,
                                 virtual public edge_list_graph_tag,
                                 virtual public bidirectional_graph_tag,
-                                virtual public adjacency_matrix_tag { };
+                                virtual public adjacency_matrix_tag
+    {
+    };
 
     static inline vertex_descriptor null_vertex()
     {
-      vertex_descriptor maxed_out_vertex;
-      std::fill(maxed_out_vertex.begin(), maxed_out_vertex.end(),
-                (std::numeric_limits<vertices_size_type>::max)());
+        vertex_descriptor maxed_out_vertex;
+        std::fill(maxed_out_vertex.begin(), maxed_out_vertex.end(),
+            (std::numeric_limits< vertices_size_type >::max)());
 
-      return (maxed_out_vertex);
+        return (maxed_out_vertex);
     }
 
     // Constructor that defaults to no wrapping for all dimensions.
-    grid_graph(vertex_descriptor dimension_lengths) :
-      m_dimension_lengths(dimension_lengths) {
+    grid_graph(vertex_descriptor dimension_lengths)
+    : m_dimension_lengths(dimension_lengths)
+    {
 
-      std::fill(m_wrap_dimension.begin(),
-                m_wrap_dimension.end(), false);
+        std::fill(m_wrap_dimension.begin(), m_wrap_dimension.end(), false);
 
-      precalculate();
+        precalculate();
     }
 
     // Constructor that allows for wrapping to be specified for all
     // dimensions at once.
-    grid_graph(vertex_descriptor dimension_lengths,
-               bool wrap_all_dimensions) :
-      m_dimension_lengths(dimension_lengths) {
-      
-      std::fill(m_wrap_dimension.begin(),
-                m_wrap_dimension.end(),
-                wrap_all_dimensions);
+    grid_graph(vertex_descriptor dimension_lengths, bool wrap_all_dimensions)
+    : m_dimension_lengths(dimension_lengths)
+    {
+
+        std::fill(m_wrap_dimension.begin(), m_wrap_dimension.end(),
+            wrap_all_dimensions);
 
-      precalculate();
+        precalculate();
     }
 
     // Constructor that allows for individual dimension wrapping to be
     // specified.
-    grid_graph(vertex_descriptor dimension_lengths,
-               WrapDimensionArray wrap_dimension) :
-      m_dimension_lengths(dimension_lengths),
-      m_wrap_dimension(wrap_dimension) {
+    grid_graph(
+        vertex_descriptor dimension_lengths, WrapDimensionArray wrap_dimension)
+    : m_dimension_lengths(dimension_lengths), m_wrap_dimension(wrap_dimension)
+    {
 
-      precalculate();
+        precalculate();
     }
 
     // Returns the number of dimensions in the graph
-    inline std::size_t dimensions() const {
-      return (Dimensions);
-    }
+    inline std::size_t dimensions() const { return (Dimensions); }
 
     // Returns the length of dimension [dimension_index]
-    inline vertices_size_type length(std::size_t dimension) const {
-      return (m_dimension_lengths[dimension]);
+    inline vertices_size_type length(std::size_t dimension) const
+    {
+        return (m_dimension_lengths[dimension]);
     }
 
     // Returns a value indicating if dimension [dimension_index] wraps
-    inline bool wrapped(std::size_t dimension) const {
-      return (m_wrap_dimension[dimension]);
+    inline bool wrapped(std::size_t dimension) const
+    {
+        return (m_wrap_dimension[dimension]);
     }
 
     // Gets the vertex that is [distance] units ahead of [vertex] in
     // dimension [dimension_index].
-    vertex_descriptor next
-    (vertex_descriptor vertex,
-     std::size_t dimension_index,
-     vertices_size_type distance = 1) const {
+    vertex_descriptor next(vertex_descriptor vertex,
+        std::size_t dimension_index, vertices_size_type distance = 1) const
+    {
 
-      vertices_size_type new_position =
-        vertex[dimension_index] + distance;
+        vertices_size_type new_position = vertex[dimension_index] + distance;
 
-      if (wrapped(dimension_index)) {
-        new_position %= length(dimension_index);
-      }
-      else {
-        // Stop at the end of this dimension if necessary.
-        new_position =
-          (std::min)(new_position,
-                     vertices_size_type(length(dimension_index) - 1));
-      }
+        if (wrapped(dimension_index))
+        {
+            new_position %= length(dimension_index);
+        }
+        else
+        {
+            // Stop at the end of this dimension if necessary.
+            new_position = (std::min)(
+                new_position, vertices_size_type(length(dimension_index) - 1));
+        }
 
-      vertex[dimension_index] = new_position;
+        vertex[dimension_index] = new_position;
 
-      return (vertex);    
+        return (vertex);
     }
 
     // Gets the vertex that is [distance] units behind [vertex] in
     // dimension [dimension_index].
-    vertex_descriptor previous
-    (vertex_descriptor vertex,
-     std::size_t dimension_index,
-     vertices_size_type distance = 1) const {
-    
-      // We're assuming that vertices_size_type is unsigned, so we
-      // need to be careful about the math.
-      vertex[dimension_index] =
-        (distance > vertex[dimension_index]) ?
-        (wrapped(dimension_index) ?
-         (length(dimension_index) - (distance % length(dimension_index))) : 0) :
-        vertex[dimension_index] - distance;
+    vertex_descriptor previous(vertex_descriptor vertex,
+        std::size_t dimension_index, vertices_size_type distance = 1) const
+    {
 
-      return (vertex);    
-    }
+        // We're assuming that vertices_size_type is unsigned, so we
+        // need to be careful about the math.
+        vertex[dimension_index] = (distance > vertex[dimension_index])
+            ? (wrapped(dimension_index) ? (length(dimension_index)
+                   - (distance % length(dimension_index)))
+                                        : 0)
+            : vertex[dimension_index] - distance;
 
-  protected:
+        return (vertex);
+    }
 
+protected:
     // Returns the number of vertices in the graph
-    inline vertices_size_type num_vertices() const {
-      return (m_num_vertices);
-    }
-    
+    inline vertices_size_type num_vertices() const { return (m_num_vertices); }
+
     // Returns the number of edges in the graph
-    inline edges_size_type num_edges() const {
-      return (m_num_edges);
-    }
+    inline edges_size_type num_edges() const { return (m_num_edges); }
 
     // Returns the number of edges in dimension [dimension_index]
-    inline edges_size_type num_edges
-    (std::size_t dimension_index) const {
-      return (m_edge_count[dimension_index]);
+    inline edges_size_type num_edges(std::size_t dimension_index) const
+    {
+        return (m_edge_count[dimension_index]);
     }
 
     // Returns the index of [vertex] (See also vertex_at)
-    vertices_size_type index_of(vertex_descriptor vertex) const {
+    vertices_size_type index_of(vertex_descriptor vertex) const
+    {
 
-      vertices_size_type vertex_index = 0;
-      vertices_size_type index_multiplier = 1;
+        vertices_size_type vertex_index = 0;
+        vertices_size_type index_multiplier = 1;
 
-      for (std::size_t dimension_index = 0;
-           dimension_index < Dimensions;
-           ++dimension_index) {
+        for (std::size_t dimension_index = 0; dimension_index < Dimensions;
+             ++dimension_index)
+        {
 
-        vertex_index += (vertex[dimension_index] * index_multiplier);
-        index_multiplier *= length(dimension_index);
-      }
+            vertex_index += (vertex[dimension_index] * index_multiplier);
+            index_multiplier *= length(dimension_index);
+        }
 
-      return (vertex_index);
+        return (vertex_index);
     }
 
     // Returns the vertex whose index is [vertex_index] (See also
     // index_of(vertex_descriptor))
-    vertex_descriptor vertex_at
-    (vertices_size_type vertex_index) const {
-    
-      boost::array<vertices_size_type, Dimensions> vertex;
-      vertices_size_type index_divider = 1;
+    vertex_descriptor vertex_at(vertices_size_type vertex_index) const
+    {
+
+        boost::array< vertices_size_type, Dimensions > vertex;
+        vertices_size_type index_divider = 1;
 
-      for (std::size_t dimension_index = 0;
-           dimension_index < Dimensions;
-           ++dimension_index) {
+        for (std::size_t dimension_index = 0; dimension_index < Dimensions;
+             ++dimension_index)
+        {
 
-        vertex[dimension_index] = (vertex_index / index_divider) %
-          length(dimension_index);
+            vertex[dimension_index]
+                = (vertex_index / index_divider) % length(dimension_index);
 
-        index_divider *= length(dimension_index);
-      }
+            index_divider *= length(dimension_index);
+        }
 
-      return (vertex);
-    }    
+        return (vertex);
+    }
 
     // Returns the edge whose index is [edge_index] (See also
     // index_of(edge_descriptor)).  NOTE: The index mapping is
     // dependent upon dimension wrapping.
-    edge_descriptor edge_at(edges_size_type edge_index) const {
-
-      // Edge indices are sorted into bins by dimension
-      std::size_t dimension_index = 0;
-      edges_size_type dimension_edges = num_edges(0);
-
-      while (edge_index >= dimension_edges) {
-        edge_index -= dimension_edges;
-        ++dimension_index;
-        dimension_edges = num_edges(dimension_index);
-      }
-
-      vertex_descriptor vertex_source, vertex_target;
-      bool is_forward = ((edge_index / (num_edges(dimension_index) / 2)) == 0);
-
-      if (wrapped(dimension_index)) {
-        vertex_source = vertex_at(edge_index % num_vertices());
-        vertex_target = is_forward ?
-          next(vertex_source, dimension_index) :
-          previous(vertex_source, dimension_index);
-      }
-      else {
-
-        // Dimensions can wrap arbitrarily, so an index needs to be
-        // computed in a more complex manner.  This is done by
-        // grouping the edges for each dimension together into "bins"
-        // and considering [edge_index] as an offset into the bin.
-        // Each bin consists of two parts: the "forward" looking edges
-        // and the "backward" looking edges for the dimension.
-
-        edges_size_type vertex_offset = edge_index % num_edges(dimension_index);
-
-        // Consider vertex_offset an index into the graph's vertex
-        // space but with the dimension [dimension_index] reduced in
-        // size by one.
-        vertices_size_type index_divider = 1;
+    edge_descriptor edge_at(edges_size_type edge_index) const
+    {
 
-        for (std::size_t dimension_index_iter = 0;
-             dimension_index_iter < Dimensions;
-             ++dimension_index_iter) {
+        // Edge indices are sorted into bins by dimension
+        std::size_t dimension_index = 0;
+        edges_size_type dimension_edges = num_edges(0);
 
-          std::size_t dimension_length = (dimension_index_iter == dimension_index) ?
-            length(dimension_index_iter) - 1 :
-            length(dimension_index_iter);
+        while (edge_index >= dimension_edges)
+        {
+            edge_index -= dimension_edges;
+            ++dimension_index;
+            dimension_edges = num_edges(dimension_index);
+        }
 
-          vertex_source[dimension_index_iter] = (vertex_offset / index_divider) %
-            dimension_length;
+        vertex_descriptor vertex_source, vertex_target;
+        bool is_forward
+            = ((edge_index / (num_edges(dimension_index) / 2)) == 0);
 
-          index_divider *= dimension_length;
+        if (wrapped(dimension_index))
+        {
+            vertex_source = vertex_at(edge_index % num_vertices());
+            vertex_target = is_forward
+                ? next(vertex_source, dimension_index)
+                : previous(vertex_source, dimension_index);
         }
+        else
+        {
+
+            // Dimensions can wrap arbitrarily, so an index needs to be
+            // computed in a more complex manner.  This is done by
+            // grouping the edges for each dimension together into "bins"
+            // and considering [edge_index] as an offset into the bin.
+            // Each bin consists of two parts: the "forward" looking edges
+            // and the "backward" looking edges for the dimension.
+
+            edges_size_type vertex_offset
+                = edge_index % num_edges(dimension_index);
+
+            // Consider vertex_offset an index into the graph's vertex
+            // space but with the dimension [dimension_index] reduced in
+            // size by one.
+            vertices_size_type index_divider = 1;
+
+            for (std::size_t dimension_index_iter = 0;
+                 dimension_index_iter < Dimensions; ++dimension_index_iter)
+            {
+
+                std::size_t dimension_length
+                    = (dimension_index_iter == dimension_index)
+                    ? length(dimension_index_iter) - 1
+                    : length(dimension_index_iter);
+
+                vertex_source[dimension_index_iter]
+                    = (vertex_offset / index_divider) % dimension_length;
+
+                index_divider *= dimension_length;
+            }
+
+            if (is_forward)
+            {
+                vertex_target = next(vertex_source, dimension_index);
+            }
+            else
+            {
+                // Shift forward one more unit in the dimension for backward
+                // edges since the algorithm above will leave us one behind.
+                vertex_target = vertex_source;
+                ++vertex_source[dimension_index];
+            }
+
+        } // if (wrapped(dimension_index))
+
+        return (std::make_pair(vertex_source, vertex_target));
+    }
 
-        if (is_forward) {
-          vertex_target = next(vertex_source, dimension_index);
-        }
-        else {
-          // Shift forward one more unit in the dimension for backward
-          // edges since the algorithm above will leave us one behind.
-          vertex_target = vertex_source;
-          ++vertex_source[dimension_index];
+    // Returns the index for [edge] (See also edge_at)
+    edges_size_type index_of(edge_descriptor edge) const
+    {
+        vertex_descriptor source_vertex = source(edge, *this);
+        vertex_descriptor target_vertex = target(edge, *this);
+
+        BOOST_ASSERT(source_vertex != target_vertex);
+
+        // Determine the dimension where the source and target vertices
+        // differ (should only be one if this is a valid edge).
+        std::size_t different_dimension_index = 0;
+
+        while (source_vertex[different_dimension_index]
+            == target_vertex[different_dimension_index])
+        {
+
+            ++different_dimension_index;
         }
 
-      } // if (wrapped(dimension_index))
-      
-      return (std::make_pair(vertex_source, vertex_target));
-    }
-    
-    // Returns the index for [edge] (See also edge_at)
-    edges_size_type index_of(edge_descriptor edge) const {
-      vertex_descriptor source_vertex = source(edge, *this);
-      vertex_descriptor target_vertex = target(edge, *this);
-
-      BOOST_ASSERT (source_vertex != target_vertex);
-
-      // Determine the dimension where the source and target vertices
-      // differ (should only be one if this is a valid edge).
-      std::size_t different_dimension_index = 0;
-
-      while (source_vertex[different_dimension_index] ==
-             target_vertex[different_dimension_index]) {
-
-        ++different_dimension_index; 
-      }
-
-      edges_size_type edge_index = 0;
-      
-      // Offset the edge index into the appropriate "bin" (see edge_at
-      // for a more in-depth description).
-      for (std::size_t dimension_index = 0;
-           dimension_index < different_dimension_index;
-           ++dimension_index) {
-
-        edge_index += num_edges(dimension_index);      
-      }
-
-      // Get the position of both vertices in the differing dimension.
-      vertices_size_type source_position = source_vertex[different_dimension_index];
-      vertices_size_type target_position = target_vertex[different_dimension_index];
-
-      // Determine if edge is forward or backward
-      bool is_forward = true;
-        
-      if (wrapped(different_dimension_index)) {
-
-        // If the dimension is wrapped, an edge is going backward if
-        // either A: its target precedes the source in the differing
-        // dimension and the vertices are adjacent or B: its source
-        // precedes the target and they're not adjacent.
-        if (((target_position < source_position) &&
-             ((source_position - target_position) == 1)) ||
-            ((source_position < target_position) &&
-             ((target_position - source_position) > 1))) {
-
-          is_forward = false;
+        edges_size_type edge_index = 0;
+
+        // Offset the edge index into the appropriate "bin" (see edge_at
+        // for a more in-depth description).
+        for (std::size_t dimension_index = 0;
+             dimension_index < different_dimension_index; ++dimension_index)
+        {
+
+            edge_index += num_edges(dimension_index);
         }
-      }
-      else if (target_position < source_position) {
-        is_forward = false;
-      }
-
-      // "Backward" edges are in the second half of the bin.
-      if (!is_forward) {
-        edge_index += (num_edges(different_dimension_index) / 2);
-      }
-
-      // Finally, apply the vertex offset
-      if (wrapped(different_dimension_index)) {
-        edge_index += index_of(source_vertex);
-      }
-      else {
-        vertices_size_type index_multiplier = 1;
 
-        if (!is_forward) {
-          --source_vertex[different_dimension_index];
+        // Get the position of both vertices in the differing dimension.
+        vertices_size_type source_position
+            = source_vertex[different_dimension_index];
+        vertices_size_type target_position
+            = target_vertex[different_dimension_index];
+
+        // Determine if edge is forward or backward
+        bool is_forward = true;
+
+        if (wrapped(different_dimension_index))
+        {
+
+            // If the dimension is wrapped, an edge is going backward if
+            // either A: its target precedes the source in the differing
+            // dimension and the vertices are adjacent or B: its source
+            // precedes the target and they're not adjacent.
+            if (((target_position < source_position)
+                    && ((source_position - target_position) == 1))
+                || ((source_position < target_position)
+                    && ((target_position - source_position) > 1)))
+            {
+
+                is_forward = false;
+            }
+        }
+        else if (target_position < source_position)
+        {
+            is_forward = false;
         }
 
-        for (std::size_t dimension_index = 0;
-             dimension_index < Dimensions;
-             ++dimension_index) {
+        // "Backward" edges are in the second half of the bin.
+        if (!is_forward)
+        {
+            edge_index += (num_edges(different_dimension_index) / 2);
+        }
 
-          edge_index += (source_vertex[dimension_index] * index_multiplier);
-          index_multiplier *= (dimension_index == different_dimension_index) ?
-            length(dimension_index) - 1 :
-            length(dimension_index);
+        // Finally, apply the vertex offset
+        if (wrapped(different_dimension_index))
+        {
+            edge_index += index_of(source_vertex);
+        }
+        else
+        {
+            vertices_size_type index_multiplier = 1;
+
+            if (!is_forward)
+            {
+                --source_vertex[different_dimension_index];
+            }
+
+            for (std::size_t dimension_index = 0; dimension_index < Dimensions;
+                 ++dimension_index)
+            {
+
+                edge_index
+                    += (source_vertex[dimension_index] * index_multiplier);
+                index_multiplier
+                    *= (dimension_index == different_dimension_index)
+                    ? length(dimension_index) - 1
+                    : length(dimension_index);
+            }
         }
-      }
 
-      return (edge_index);
+        return (edge_index);
     }
 
     // Returns the number of out-edges for [vertex]
-    degree_size_type out_degree(vertex_descriptor vertex) const {
-
-      degree_size_type out_edge_count = 0;
-
-      for (std::size_t dimension_index = 0;
-           dimension_index < Dimensions;
-           ++dimension_index) {
+    degree_size_type out_degree(vertex_descriptor vertex) const
+    {
 
-        // If the vertex is on the edge of this dimension, then its
-        // number of out edges is dependent upon whether the dimension
-        // wraps or not.
-        if ((vertex[dimension_index] == 0) ||
-            (vertex[dimension_index] == (length(dimension_index) - 1))) {
-          out_edge_count += (wrapped(dimension_index) ? 2 : 1);
-        }
-        else {
-          // Next and previous edges, regardless or wrapping
-          out_edge_count += 2;
+        degree_size_type out_edge_count = 0;
+
+        for (std::size_t dimension_index = 0; dimension_index < Dimensions;
+             ++dimension_index)
+        {
+
+            // If the vertex is on the edge of this dimension, then its
+            // number of out edges is dependent upon whether the dimension
+            // wraps or not.
+            if ((vertex[dimension_index] == 0)
+                || (vertex[dimension_index] == (length(dimension_index) - 1)))
+            {
+                out_edge_count += (wrapped(dimension_index) ? 2 : 1);
+            }
+            else
+            {
+                // Next and previous edges, regardless or wrapping
+                out_edge_count += 2;
+            }
         }
-      }
 
-      return (out_edge_count);
+        return (out_edge_count);
     }
 
     // Returns an out-edge for [vertex] by index. Indices are in the
     // range [0, out_degree(vertex)).
-    edge_descriptor out_edge_at
-    (vertex_descriptor vertex,
-     degree_size_type out_edge_index) const {
-
-      edges_size_type edges_left = out_edge_index + 1;
-      std::size_t dimension_index = 0;
-      bool is_forward = false;
-
-      // Walks the out edges of [vertex] and accommodates for dimension
-      // wrapping.
-      while (edges_left > 0) {
-
-        if (!wrapped(dimension_index)) {
-          if (!is_forward && (vertex[dimension_index] == 0)) {
-            is_forward = true;
-            continue;
-          }
-          else if (is_forward &&
-                   (vertex[dimension_index] == (length(dimension_index) - 1))) {
-            is_forward = false;
-            ++dimension_index;
-            continue;
-          }
-        }
-
-        --edges_left;
+    edge_descriptor out_edge_at(
+        vertex_descriptor vertex, degree_size_type out_edge_index) const
+    {
 
-        if (edges_left > 0) {
-          is_forward = !is_forward;
-        
-          if (!is_forward) {
-            ++dimension_index;
-          }
+        edges_size_type edges_left = out_edge_index + 1;
+        std::size_t dimension_index = 0;
+        bool is_forward = false;
+
+        // Walks the out edges of [vertex] and accommodates for dimension
+        // wrapping.
+        while (edges_left > 0)
+        {
+
+            if (!wrapped(dimension_index))
+            {
+                if (!is_forward && (vertex[dimension_index] == 0))
+                {
+                    is_forward = true;
+                    continue;
+                }
+                else if (is_forward
+                    && (vertex[dimension_index]
+                        == (length(dimension_index) - 1)))
+                {
+                    is_forward = false;
+                    ++dimension_index;
+                    continue;
+                }
+            }
+
+            --edges_left;
+
+            if (edges_left > 0)
+            {
+                is_forward = !is_forward;
+
+                if (!is_forward)
+                {
+                    ++dimension_index;
+                }
+            }
         }
-      }
 
-      return (std::make_pair(vertex, is_forward ?
-                             next(vertex, dimension_index) :
-                             previous(vertex, dimension_index)));
+        return (std::make_pair(vertex,
+            is_forward ? next(vertex, dimension_index)
+                       : previous(vertex, dimension_index)));
     }
 
     // Returns the number of in-edges for [vertex]
-    inline degree_size_type in_degree(vertex_descriptor vertex) const {
-      return (out_degree(vertex));
+    inline degree_size_type in_degree(vertex_descriptor vertex) const
+    {
+        return (out_degree(vertex));
     }
 
     // Returns an in-edge for [vertex] by index. Indices are in the
     // range [0, in_degree(vertex)).
-    edge_descriptor in_edge_at
-    (vertex_descriptor vertex,
-     edges_size_type in_edge_index) const {
-
-      edge_descriptor out_edge = out_edge_at(vertex, in_edge_index);
-      return (std::make_pair(target(out_edge, *this), source(out_edge, *this)));
+    edge_descriptor in_edge_at(
+        vertex_descriptor vertex, edges_size_type in_edge_index) const
+    {
 
+        edge_descriptor out_edge = out_edge_at(vertex, in_edge_index);
+        return (
+            std::make_pair(target(out_edge, *this), source(out_edge, *this)));
     }
 
     // Pre-computes the number of vertices and edges
-    void precalculate() {
-      m_num_vertices =
-        std::accumulate(m_dimension_lengths.begin(),
-                        m_dimension_lengths.end(),
-                        vertices_size_type(1),
-                        std::multiplies<vertices_size_type>());
-
-      // Calculate number of edges in each dimension
-      m_num_edges = 0;
-
-      for (std::size_t dimension_index = 0;
-           dimension_index < Dimensions;
-           ++dimension_index) {
-
-        if (wrapped(dimension_index)) {
-          m_edge_count[dimension_index] = num_vertices() * 2;
-        }
-        else {
-          m_edge_count[dimension_index] =
-            (num_vertices() - (num_vertices() / length(dimension_index))) * 2;
+    void precalculate()
+    {
+        m_num_vertices = std::accumulate(m_dimension_lengths.begin(),
+            m_dimension_lengths.end(), vertices_size_type(1),
+            std::multiplies< vertices_size_type >());
+
+        // Calculate number of edges in each dimension
+        m_num_edges = 0;
+
+        for (std::size_t dimension_index = 0; dimension_index < Dimensions;
+             ++dimension_index)
+        {
+
+            if (wrapped(dimension_index))
+            {
+                m_edge_count[dimension_index] = num_vertices() * 2;
+            }
+            else
+            {
+                m_edge_count[dimension_index]
+                    = (num_vertices()
+                          - (num_vertices() / length(dimension_index)))
+                    * 2;
+            }
+
+            m_num_edges += num_edges(dimension_index);
         }
-
-        m_num_edges += num_edges(dimension_index);
-      }
     }
 
     const vertex_descriptor m_dimension_lengths;
     WrapDimensionArray m_wrap_dimension;
     vertices_size_type m_num_vertices;
 
-    boost::array<edges_size_type, Dimensions> m_edge_count;
+    boost::array< edges_size_type, Dimensions > m_edge_count;
     edges_size_type m_num_edges;
 
-  public:
-
+public:
     //================
     // VertexListGraph
     //================
 
-    friend inline std::pair<typename type::vertex_iterator,
-                            typename type::vertex_iterator> 
-    vertices(const type& graph) {
-      typedef typename type::vertex_iterator vertex_iterator;
-      typedef typename type::vertex_function vertex_function;
-      typedef typename type::vertex_index_iterator vertex_index_iterator;
-
-      return (std::make_pair
-              (vertex_iterator(vertex_index_iterator(0),
-                               vertex_function(&graph)),
-               vertex_iterator(vertex_index_iterator(graph.num_vertices()),
-                               vertex_function(&graph))));
+    friend inline std::pair< typename type::vertex_iterator,
+        typename type::vertex_iterator >
+    vertices(const type& graph)
+    {
+        typedef typename type::vertex_iterator vertex_iterator;
+        typedef typename type::vertex_function vertex_function;
+        typedef typename type::vertex_index_iterator vertex_index_iterator;
+
+        return (std::make_pair(
+            vertex_iterator(vertex_index_iterator(0), vertex_function(&graph)),
+            vertex_iterator(vertex_index_iterator(graph.num_vertices()),
+                vertex_function(&graph))));
     }
 
-    friend inline typename type::vertices_size_type
-    num_vertices(const type& graph) {
-      return (graph.num_vertices());
+    friend inline typename type::vertices_size_type num_vertices(
+        const type& graph)
+    {
+        return (graph.num_vertices());
     }
 
-    friend inline typename type::vertex_descriptor
-    vertex(typename type::vertices_size_type vertex_index,
-           const type& graph) {
+    friend inline typename type::vertex_descriptor vertex(
+        typename type::vertices_size_type vertex_index, const type& graph)
+    {
 
-      return (graph.vertex_at(vertex_index));
+        return (graph.vertex_at(vertex_index));
     }
 
     //===============
     // IncidenceGraph
     //===============
 
-    friend inline std::pair<typename type::out_edge_iterator,
-                            typename type::out_edge_iterator>
-    out_edges(typename type::vertex_descriptor vertex,
-              const type& graph) {
-      typedef typename type::degree_iterator degree_iterator;
-      typedef typename type::out_edge_function out_edge_function;
-      typedef typename type::out_edge_iterator out_edge_iterator;
-
-      return (std::make_pair
-              (out_edge_iterator(degree_iterator(0),
-                                 out_edge_function(vertex, &graph)),
-               out_edge_iterator(degree_iterator(graph.out_degree(vertex)),
-                                 out_edge_function(vertex, &graph))));
+    friend inline std::pair< typename type::out_edge_iterator,
+        typename type::out_edge_iterator >
+    out_edges(typename type::vertex_descriptor vertex, const type& graph)
+    {
+        typedef typename type::degree_iterator degree_iterator;
+        typedef typename type::out_edge_function out_edge_function;
+        typedef typename type::out_edge_iterator out_edge_iterator;
+
+        return (std::make_pair(out_edge_iterator(degree_iterator(0),
+                                   out_edge_function(vertex, &graph)),
+            out_edge_iterator(degree_iterator(graph.out_degree(vertex)),
+                out_edge_function(vertex, &graph))));
     }
 
-    friend inline typename type::degree_size_type
-    out_degree
-    (typename type::vertex_descriptor vertex,
-     const type& graph) {
-      return (graph.out_degree(vertex));
+    friend inline typename type::degree_size_type out_degree(
+        typename type::vertex_descriptor vertex, const type& graph)
+    {
+        return (graph.out_degree(vertex));
     }
 
-    friend inline typename type::edge_descriptor
-    out_edge_at(typename type::vertex_descriptor vertex,
-                typename type::degree_size_type out_edge_index,
-                const type& graph) {
-      return (graph.out_edge_at(vertex, out_edge_index));
+    friend inline typename type::edge_descriptor out_edge_at(
+        typename type::vertex_descriptor vertex,
+        typename type::degree_size_type out_edge_index, const type& graph)
+    {
+        return (graph.out_edge_at(vertex, out_edge_index));
     }
 
     //===============
     // AdjacencyGraph
     //===============
 
-    friend typename std::pair<typename type::adjacency_iterator,
-                              typename type::adjacency_iterator>
-    adjacent_vertices (typename type::vertex_descriptor vertex,
-                       const type& graph) {
-      typedef typename type::degree_iterator degree_iterator;
-      typedef typename type::adjacent_vertex_function adjacent_vertex_function;
-      typedef typename type::adjacency_iterator adjacency_iterator;
-
-      return (std::make_pair
-              (adjacency_iterator(degree_iterator(0),
-                                 adjacent_vertex_function(vertex, &graph)),
-               adjacency_iterator(degree_iterator(graph.out_degree(vertex)),
-                                 adjacent_vertex_function(vertex, &graph))));
+    friend typename std::pair< typename type::adjacency_iterator,
+        typename type::adjacency_iterator >
+    adjacent_vertices(
+        typename type::vertex_descriptor vertex, const type& graph)
+    {
+        typedef typename type::degree_iterator degree_iterator;
+        typedef
+            typename type::adjacent_vertex_function adjacent_vertex_function;
+        typedef typename type::adjacency_iterator adjacency_iterator;
+
+        return (std::make_pair(adjacency_iterator(degree_iterator(0),
+                                   adjacent_vertex_function(vertex, &graph)),
+            adjacency_iterator(degree_iterator(graph.out_degree(vertex)),
+                adjacent_vertex_function(vertex, &graph))));
     }
 
     //==============
     // EdgeListGraph
     //==============
 
-    friend inline typename type::edges_size_type
-    num_edges(const type& graph) {
-      return (graph.num_edges());
+    friend inline typename type::edges_size_type num_edges(const type& graph)
+    {
+        return (graph.num_edges());
     }
 
-    friend inline typename type::edge_descriptor
-    edge_at(typename type::edges_size_type edge_index,
-            const type& graph) {
-      return (graph.edge_at(edge_index));
+    friend inline typename type::edge_descriptor edge_at(
+        typename type::edges_size_type edge_index, const type& graph)
+    {
+        return (graph.edge_at(edge_index));
     }
 
-    friend inline std::pair<typename type::edge_iterator,
-                            typename type::edge_iterator>
-    edges(const type& graph) {
-      typedef typename type::edge_index_iterator edge_index_iterator;
-      typedef typename type::edge_function edge_function;
-      typedef typename type::edge_iterator edge_iterator;
-
-      return (std::make_pair
-              (edge_iterator(edge_index_iterator(0),
-                             edge_function(&graph)),
-               edge_iterator(edge_index_iterator(graph.num_edges()),
-                             edge_function(&graph))));
+    friend inline std::pair< typename type::edge_iterator,
+        typename type::edge_iterator >
+    edges(const type& graph)
+    {
+        typedef typename type::edge_index_iterator edge_index_iterator;
+        typedef typename type::edge_function edge_function;
+        typedef typename type::edge_iterator edge_iterator;
+
+        return (std::make_pair(
+            edge_iterator(edge_index_iterator(0), edge_function(&graph)),
+            edge_iterator(edge_index_iterator(graph.num_edges()),
+                edge_function(&graph))));
     }
 
     //===================
     // BiDirectionalGraph
     //===================
 
-    friend inline std::pair<typename type::in_edge_iterator,
-                            typename type::in_edge_iterator>
-    in_edges(typename type::vertex_descriptor vertex,
-             const type& graph) {
-      typedef typename type::in_edge_function in_edge_function;
-      typedef typename type::degree_iterator degree_iterator;
-      typedef typename type::in_edge_iterator in_edge_iterator;
-
-      return (std::make_pair
-              (in_edge_iterator(degree_iterator(0),
-                                in_edge_function(vertex, &graph)),
-               in_edge_iterator(degree_iterator(graph.in_degree(vertex)),
-                                in_edge_function(vertex, &graph))));
+    friend inline std::pair< typename type::in_edge_iterator,
+        typename type::in_edge_iterator >
+    in_edges(typename type::vertex_descriptor vertex, const type& graph)
+    {
+        typedef typename type::in_edge_function in_edge_function;
+        typedef typename type::degree_iterator degree_iterator;
+        typedef typename type::in_edge_iterator in_edge_iterator;
+
+        return (std::make_pair(in_edge_iterator(degree_iterator(0),
+                                   in_edge_function(vertex, &graph)),
+            in_edge_iterator(degree_iterator(graph.in_degree(vertex)),
+                in_edge_function(vertex, &graph))));
     }
 
-    friend inline typename type::degree_size_type
-    in_degree (typename type::vertex_descriptor vertex,
-               const type& graph) {
-      return (graph.in_degree(vertex));
+    friend inline typename type::degree_size_type in_degree(
+        typename type::vertex_descriptor vertex, const type& graph)
+    {
+        return (graph.in_degree(vertex));
     }
 
-    friend inline typename type::degree_size_type
-    degree (typename type::vertex_descriptor vertex,
-            const type& graph) {
-      return (graph.out_degree(vertex) * 2);
+    friend inline typename type::degree_size_type degree(
+        typename type::vertex_descriptor vertex, const type& graph)
+    {
+        return (graph.out_degree(vertex) * 2);
     }
 
-    friend inline typename type::edge_descriptor
-    in_edge_at(typename type::vertex_descriptor vertex,
-               typename type::degree_size_type in_edge_index,
-               const type& graph) {
-      return (graph.in_edge_at(vertex, in_edge_index));
+    friend inline typename type::edge_descriptor in_edge_at(
+        typename type::vertex_descriptor vertex,
+        typename type::degree_size_type in_edge_index, const type& graph)
+    {
+        return (graph.in_edge_at(vertex, in_edge_index));
     }
 
-
     //==================
     // Adjacency Matrix
     //==================
 
-    friend std::pair<typename type::edge_descriptor, bool>
-    edge (typename type::vertex_descriptor source_vertex,
-          typename type::vertex_descriptor destination_vertex,
-          const type& graph) {
-
-      std::pair<typename type::edge_descriptor, bool> edge_exists =
-        std::make_pair(std::make_pair(source_vertex, destination_vertex), false);
-
-      for (std::size_t dimension_index = 0;
-           dimension_index < Dimensions;
-           ++dimension_index) {
-
-        typename type::vertices_size_type dim_difference = 0;
-        typename type::vertices_size_type
-          source_dim = source_vertex[dimension_index],
-          dest_dim = destination_vertex[dimension_index];
-
-        dim_difference = (source_dim > dest_dim) ?
-          (source_dim - dest_dim) : (dest_dim - source_dim);
-
-        if (dim_difference > 0) {
-
-          // If we've already found a valid edge, this would mean that
-          // the vertices are really diagonal across dimensions and
-          // therefore not connected.
-          if (edge_exists.second) {
-            edge_exists.second = false;
-            break;
-          }
-
-          // If the difference is one, the vertices are right next to
-          // each other and the edge is valid.  The edge is still
-          // valid, though, if the dimension wraps and the vertices
-          // are on opposite ends.
-          if ((dim_difference == 1) ||
-              (graph.wrapped(dimension_index) &&
-               (((source_dim == 0) && (dest_dim == (graph.length(dimension_index) - 1))) ||
-                ((dest_dim == 0) && (source_dim == (graph.length(dimension_index) - 1)))))) {
-
-            edge_exists.second = true;
-            // Stay in the loop to check for diagonal vertices.
-          }
-          else {
-
-            // Stop checking - the vertices are too far apart.
-            edge_exists.second = false;
-            break;
-          }
-        }
-
-      } // for dimension_index
+    friend std::pair< typename type::edge_descriptor, bool > edge(
+        typename type::vertex_descriptor source_vertex,
+        typename type::vertex_descriptor destination_vertex, const type& graph)
+    {
 
-      return (edge_exists);
+        std::pair< typename type::edge_descriptor, bool > edge_exists
+            = std::make_pair(
+                std::make_pair(source_vertex, destination_vertex), false);
+
+        for (std::size_t dimension_index = 0; dimension_index < Dimensions;
+             ++dimension_index)
+        {
+
+            typename type::vertices_size_type dim_difference = 0;
+            typename type::vertices_size_type source_dim
+                = source_vertex[dimension_index],
+                dest_dim = destination_vertex[dimension_index];
+
+            dim_difference = (source_dim > dest_dim) ? (source_dim - dest_dim)
+                                                     : (dest_dim - source_dim);
+
+            if (dim_difference > 0)
+            {
+
+                // If we've already found a valid edge, this would mean that
+                // the vertices are really diagonal across dimensions and
+                // therefore not connected.
+                if (edge_exists.second)
+                {
+                    edge_exists.second = false;
+                    break;
+                }
+
+                // If the difference is one, the vertices are right next to
+                // each other and the edge is valid.  The edge is still
+                // valid, though, if the dimension wraps and the vertices
+                // are on opposite ends.
+                if ((dim_difference == 1)
+                    || (graph.wrapped(dimension_index)
+                        && (((source_dim == 0)
+                                && (dest_dim
+                                    == (graph.length(dimension_index) - 1)))
+                            || ((dest_dim == 0)
+                                && (source_dim
+                                    == (graph.length(dimension_index) - 1))))))
+                {
+
+                    edge_exists.second = true;
+                    // Stay in the loop to check for diagonal vertices.
+                }
+                else
+                {
+
+                    // Stop checking - the vertices are too far apart.
+                    edge_exists.second = false;
+                    break;
+                }
+            }
+
+        } // for dimension_index
+
+        return (edge_exists);
     }
 
-
     //=============================
     // Index Property Map Functions
     //=============================
 
-    friend inline typename type::vertices_size_type
-    get(vertex_index_t,
-        const type& graph,
-        typename type::vertex_descriptor vertex) {
-      return (graph.index_of(vertex));
-    }
-
-    friend inline typename type::edges_size_type
-    get(edge_index_t,
-        const type& graph,
-        typename type::edge_descriptor edge) {
-      return (graph.index_of(edge));
-    }
-
-    friend inline grid_graph_index_map<
-                    type,
-                    typename type::vertex_descriptor,
-                    typename type::vertices_size_type>
-    get(vertex_index_t, const type& graph) {
-      return (grid_graph_index_map<
-                type,
-                typename type::vertex_descriptor,
-                typename type::vertices_size_type>(graph));
-    }
-
-    friend inline grid_graph_index_map<
-                    type,
-                    typename type::edge_descriptor,
-                    typename type::edges_size_type>
-    get(edge_index_t, const type& graph) {
-      return (grid_graph_index_map<
-                type,
-                typename type::edge_descriptor,
-                typename type::edges_size_type>(graph));
-    }                                       
-
-    friend inline grid_graph_reverse_edge_map<
-                    typename type::edge_descriptor>
-    get(edge_reverse_t, const type& graph) {
-      return (grid_graph_reverse_edge_map<
-                typename type::edge_descriptor>());
-    }                                       
-
-    template<typename Graph,
-             typename Descriptor,
-             typename Index>
+    friend inline typename type::vertices_size_type get(vertex_index_t,
+        const type& graph, typename type::vertex_descriptor vertex)
+    {
+        return (graph.index_of(vertex));
+    }
+
+    friend inline typename type::edges_size_type get(
+        edge_index_t, const type& graph, typename type::edge_descriptor edge)
+    {
+        return (graph.index_of(edge));
+    }
+
+    friend inline grid_graph_index_map< type, typename type::vertex_descriptor,
+        typename type::vertices_size_type >
+    get(vertex_index_t, const type& graph)
+    {
+        return (grid_graph_index_map< type, typename type::vertex_descriptor,
+            typename type::vertices_size_type >(graph));
+    }
+
+    friend inline grid_graph_index_map< type, typename type::edge_descriptor,
+        typename type::edges_size_type >
+    get(edge_index_t, const type& graph)
+    {
+        return (grid_graph_index_map< type, typename type::edge_descriptor,
+            typename type::edges_size_type >(graph));
+    }
+
+    friend inline grid_graph_reverse_edge_map< typename type::edge_descriptor >
+    get(edge_reverse_t, const type& graph)
+    {
+        return (
+            grid_graph_reverse_edge_map< typename type::edge_descriptor >());
+    }
+
+    template < typename Graph, typename Descriptor, typename Index >
     friend struct grid_graph_index_map;
 
-    template<typename Descriptor>
-    friend struct grid_graph_reverse_edge_map;
+    template < typename Descriptor > friend struct grid_graph_reverse_edge_map;
 
-  }; // grid_graph
+}; // grid_graph
 
 } // namespace boost