@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