@node The Full Feature Graph Class

 @section The Full Feature Graph Class

 @cindex Full Feature Graph Class

 This section describes what an imaginary full feature graph class knows.

 The set of features provided by a real graph implementation is typically

 a subset of the features below.

 On the other hand, each graph algorithm requires the underlying graph

 structure to provide a certain (typically small) set of features in order

 to be able to run.

 @subsection Declaration

 @deftp {Class} {class Graph}

 @code{Graph} is the imaginary @emph{full feature graph class}.

 @code{G} denotes the instance of this class in the exaples below.

 @c Each node and edge has a user defined data sturcure

 @c @var{N} and @var{E} statically attached to it.

 @end deftp

 @subsection Types

 @deftp {Type} Graph::NodeType

 @deftpx {Type} Graph::EdgeType

 The type of the data stored statically for each node and edge.

 @end deftp

 @anchor{Graph-NodeIterator}

 @deftp {Type} Graph::NodePoint

 @deftpx {Type} Graph::NodeIterator

 These types points a node uniquely. The difference between the

 @code{NodePoint} and the @code{NodeIterator} is that @code{NodePoint}

 requires the graph structure itself for most of the operations.

 For examples using iterators you can go through all nodes as follows.

 @quotation

 @verbatim

 Graph G;

 int nodenum=0;

 for(Graph::NodeIterator n(G);n.Valid();++n) ++nodenum;

 @end verbatim

 @end quotation

 Using @code{NodePoint} the last line looks like this.

 @quotation

 @verbatim

 for(MyGraph::NodePoint n(G);n.Valid();n=G.Next(n)) ++nodenum;

 @end verbatim

 @end quotation

 or

 @quotation

 @verbatim

 MyGraph::NodePoint n;

 for(G.GetFirst(n);G.Valid(n);G.GoNext(n)) ++nodenum;

 @end verbatim

 @end quotation

 @end deftp

 @deftp {Type} Graph::EdgePoint

 @deftpx {Type} Graph::InEdgePoint

 @deftpx {Type} Graph::OutEdgePoint

 @deftpx {Type} Graph::BiEdgePoint

 @deftpx {Type} Graph::SymEdgePoint

 Each of these types points an edge uniquely. The difference between the

 @code{EdgePoint} and the

 @c @mref{Graph-NodeIterator,@code{EdgeIterator}}

 @mref{Graph-NodeIterator , EdgeIterator}

 series is that

 @code{EdgePoint} requires the graph structure itself for most of the

 operations.

 @end deftp

 @anchor{Graph-EdgeIterator}

 @deftp {Type} Graph::EdgeIterator

 @deftpx {Type} Graph::InEdgeIterator

 @deftpx {Type} Graph::OutEdgeIterator

 @deftpx {Type} Graph::BiEdgeIterator

 @deftpx {Type} Graph::SymEdgeIterator

 @deftpx {Type} Graph::AllEdgeIterator

 Each of these types points an edge uniquely. The difference between the

 @code{EdgePoint} and the @code{EdgeIterator} series is that

 @code{EdgePoint} requires the graph structure itself for most of the

 operations. 

 For the @code{EdgeIterator} types you can use operator @code{++}

 (both the prefix and the posfix one) to obtain the next edge.

 @end deftp

 @deftp {Type} Graph::NodeMap

 @deftpx {Type} Graph::EdgeMap

 There are the default property maps for the edges and the nodes.

 @end deftp

 @subsection Member Functions

 @subsubsection Constructors

 @deftypefun { } Graph::Graph ()

 The default constructor.

 @end deftypefun

 @deftypefun { } Graph::Graph (Graph@tie{}&)

 The copy constructor. Not yet implemented.

 @end deftypefun

 @subsubsection Graph Maintenence Operations

 @deftypefun NodeIterator Graph::AddNode ()

 Adds a new node to the graph and returns a @code{NodeIterator} pointing to it.

 @end deftypefun

 @deftypefun EdgeIterator Graph::AddEdge (@w{const @mref{Graph-NodeIterator,NodeIterator} @var{from}}, @w{const @mref{Graph-NodeIterator,NodeIterator} @var{to}})

 Adds a new edge with tail @var{from} and head @var{to} to the graph

 and returns an @code{EdgeIterator} pointing to it.

 @end deftypefun

 @deftypefun void Graph::Delete (@w{const @mref{Graph-NodeIterator,NodeIterator} @var{n}})

 Deletes the node @var{n}. It also deletes the adjacent edges.

 @end deftypefun

 @deftypefun void Graph::Delete (@w{const @mref{Graph-EdgeIterator,EdgeIterator} @var{e}})

 Deletes the edge @var{n}.

 @end deftypefun

 @deftypefun void Graph::Clean ()

 Deletes all edges and nodes from the graph.

 @end deftypefun

 @deftypefun int Graph::NodeNum ()

 Returns the number of the nodes in the graph.

 @end deftypefun

 @subsubsection NodePoint Operations

 @deftypefun NodePoint Graph::GetFirst (NodePoint &@var{n})

 @deftypefunx NodePoint Graph::Next (const NodePoint @var{n})

 @deftypefunx {NodePoint &} Graph::GoNext (NodePoint &@var{n})

 The nodes in the graph forms a list. @code{GetFirst(n)} sets @var{n} to

 be the first node. @code{Next(n)} gives back the subsequent

 node. @code{Next(n)} is equivalent to @code{n=Next(n)}, though it

 might be faster.  ??? What should be the return value ???

 @end deftypefun

 @deftypefun bool Graph::Valid (NodePoint &@var{e})

 @deftypefunx bool NodePoint::Valid ()

 These functions check if and NodePoint is valid or not.

 ??? Which one should be implemented ???

 @end deftypefun

 @subsubsection EdgePoint Operations

 @deftypefun AllEdgePoint Graph::GetFirst (const AllEdgePoint & @var{e})

 @deftypefunx AllEdgePoint Graph::Next (const AllEdgePoint @var{n})

 @deftypefunx {AllEdgePoint &} Graph::GoNext (AllEdgePoint &@var{n})

 With these functions you can go though all the edges of the graph.

 ??? What should be the return value ???

 @end deftypefun

 @deftypefun InEdgePoint Graph::GetFirst (const InEdgePoint & @var{e}, const NodePoint @var{n})

 @deftypefunx OutEdgePoint Graph::GetFirst (const OutEdgePoint & @var{e}, const NodePoint @var{n})

 @deftypefunx SymEdgePoint Graph::GetFirst (const SymEdgePoint & @var{e}, const NodePoint @var{n})

 The edges leaving from, arriving at or adjacent with a node forms a

 list.  These functions give back the first elements of these

 lists. The exact behavior depends on the type of @var{e}.

 If @var{e} is an @code{InEdgePoint} or an @code{OutEdgePoint} then

 @code{GetFirst} sets @var{e} to be the first incoming or outgoing edge

 of the node @var{n}, respectively.

 If @var{e} is a @code{SymEdgePoint} then

 @code{GetFirst} sets @var{e} to be the first incoming if there exists one

 otherwise the first outgoing edge.

 If there are no such edges, @var{e} will be invalid.

 @end deftypefun

 @deftypefun InEdgePoint Graph::Next (const InEdgePoint @var{e})

 @deftypefunx OutEdgePoint Graph::Next (const OutEdgePoint @var{e})

 @deftypefunx SymEdgePoint Graph::Next (const SymEdgePoint @var{e})

 These functions give back the edge that follows @var{e}

 @end deftypefun

 @deftypefun {InEdgePoint &} Graph::GoNext (InEdgePoint &@var{e})

 @deftypefunx {OutEdgePoint &} Graph::GoNext (OutEdgePoint &@var{e})

 @deftypefunx {SymEdgePoint &} Graph::GoNext (SymEdgePoint &@var{e})

 @code{G.GoNext(e)} is equivalent to @code{e=G.Next(e)}, though it

 might be faster.

 ??? What should be the return value ???

 @end deftypefun

 @deftypefun bool Graph::Valid (EdgePoint &@var{e})

 @deftypefunx bool EdgePoint::Valid ()

 These functions check if and EdgePoint is valid or not.

 ??? Which one should be implemented ???

 @end deftypefun

 @deftypefun NodePoint Graph::From (const EdgePoint @var{e})

 @deftypefunx NodePoint Graph::To (const EdgePoint @var{e})

 @deftypefunx NodePoint Graph::ANode (const InEdgePoint @var{e})

 @deftypefunx NodePoint Graph::ANode (const OutEdgePoint @var{e})

 @deftypefunx NodePoint Graph::ANode (const SymEdgePoint @var{e})

 @deftypefunx NodePoint Graph::BNode (const InEdgePoint @var{e})

 @deftypefunx NodePoint Graph::BNode (const OutEdgePoint @var{e})

 @deftypefunx NodePoint Graph::BNode (const SymEdgePoint @var{e})

 There queries give back the two endpoints of the edge @var{e}.  For a

 directed edge @var{e}, @code{From(e)} and @code{To(e)} is its tail and

 its head, respectively. For an undirected @var{e}, they are two

 endpoints, but you should not rely on which end is which.

 @code{ANode(e)} is the node which @var{e} is bounded to, i.e. it is

 equal to @code{From(e)} if @var{e} is an @code{OutEdgePoint} and

 @code{To(e)} if @var{e} is an @code{InEdgePoint}. If @var{e} is a

 @code{SymEdgePoint} and it or its first preceding edge was created by

 @code{GetFirst(e,n)}, then @code{ANode(e)} is equal to @var{n}.

 @code{BNode(e)} is the other end of the edge.

 ???It it implemented in an other way now. (Member function <-> Graph global)???

 @end deftypefun

 @c @deftypevar int from

 @c  the tail of the created edge.

 @c @end deftypevar