COIN-OR::LEMON - Graph Library

source: lemon-0.x/doc/maps.dox @ 1141:e5ee2726abe4

Last change on this file since 1141:e5ee2726abe4 was 1083:8043b93e5973, checked in by Alpar Juttner, 20 years ago

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[1083]1namespace lemon{
[202]2/*!
3
[1043]4\page maps-page Maps
[692]5
[921]6Maps play central role in LEMON. As their name suggests, they map a
[692]7certain range of \e keys to certain \e values. Each map has two
8<tt>typedef</tt>'s to determine the types of keys and values, like this:
9
10\code
[987]11  typedef Edge Key;
12  typedef double Value;
[692]13\endcode
14
[1083]15A map can \e readable (\ref lemon::concept::ReadMap "ReadMap", for short),
16\e writable (\ref lemon::concept::WriteMap "WriteMap") or both
17(\ref lemon::concept::ReadWriteMap "ReadWriteMap").
18There also exists a special type of
19ReadWrite map called \ref lemon::concept::ReferenceMap "reference map".
20In addition that you can
[692]21read and write the values of a key, a reference map
22can also give you a reference to the
23value belonging to a key, so you have a direct access to the memory address
24where it is stored.
25
[921]26Each graph structure in LEMON provides two standard map templates called
[692]27\c EdgeMap and \c NodeMap. Both are reference maps and you can easily
28assign data to the nodes and to the edges of the graph. For example if you
29have a graph \c G defined as
30\code
31  ListGraph G;
32\endcode
[1083]33and you want to assign a floating point value to each edge, you can do
[692]34it like this.
35\code
36  ListGraph::EdgeMap<double> length(G);
37\endcode
[1083]38Note that you must give the underlying graph to the constructor.
[692]39
40The value of a readable map can be obtained by <tt>operator[]</tt>.
41\code
42  d=length[e];
43\endcode
44where \c e is an instance of \c ListGraph::Edge.
45(Or anything else
46that converts to \c ListGraph::Edge, like  \c ListGraph::EdgeIt or
[1083]47\c ListGraph::OutEdgeIt etc.)
[692]48
49There are two ways the assign a new value to a key
50
51- In case of a <em>reference map</em> <tt>operator[]</tt>
52gives you a reference to the
53value, thus you can use this.
54\code
55  length[e]=3.5;
56\endcode
57- <em>Writable maps</em> have
[987]58a member function \c set(Key,const Value &)
[692]59for this purpose.
60\code
61  length.set(e,3.5);
62\endcode
63
64The first case is more comfortable and if you store complex structures in your
65map, it might be more efficient. However, there are writable but
[1083]66not reference maps, so if you want to write a generic algorithm, you should
67insist on the second way.
[692]68
[697]69\section how-to-write-your-own-map How to Write Your Own Maps
[692]70
71\subsection read-maps Readable Maps
[202]72
[1083]73Readable maps are very frequently used as the input of the
[692]74algorithms.  For this purpose the most straightforward way is the use of the
[921]75default maps provided by LEMON's graph structures.
[692]76Very often however, it is more
[289]77convenient and/or more efficient to write your own readable map.
[202]78
[692]79You can find some examples below. In these examples \c Graph is the
80type of the particular graph structure you use.
81
[202]82
[204]83This simple map assigns \f$\pi\f$ to each edge.
84
[202]85\code
[273]86struct MyMap
[202]87{
[987]88  typedef double Value;
89  typedef Graph::Edge Key;
90  double operator[](Key e) const { return M_PI;}
[204]91};
92\endcode
93
[692]94An alternative way to define maps is to use \c MapBase
95
96\todo For this, \c MapBase seems to be a better name then \c NullMap.
[289]97
98\code
[692]99struct MyMap : public MapBase<Graph::Edge,double>
[289]100{
[987]101  Value operator[](Key e) const { return M_PI;}
[289]102};
103\endcode
104
[692]105Here is a bit more complex example.
[1083]106It provides a length function obtained
[692]107from a base length function shifted by a potential difference.
[202]108
109\code
[1083]110class ReducedLengthMap  : public MapBase<Graph::Edge,double>
[202]111{
[1083]112  const Graph &g;
[692]113  const Graph::EdgeMap<double> &orig_len;
114  const Graph::NodeMap<double> &pot;
[202]115 
[273]116public:
[987]117  Value operator[](Key e) const {
[986]118    return orig_len.get(e)-pot.get(G.target(e))-pot.get(G.source(e));
[210]119  }
[202]120 
[1083]121  ReducedLengthMap(const Graph &_g,
122                   const Graph::EdgeMap &o,
123                   const Graph::NodeMap &p)
[692]124    : G(g), orig_len(o), pot(p) {};
[202]125};
126\endcode
127
[1083]128Then, you can call e.g. Dijkstra algoritm on this map like this:
129\code
130  ...
131  ReducedLengthMap rm(g,len,pot);
132  Dijkstra<Graph,ReducedLengthMap> dij(g,rm);
133  dij.run(s);
134  ...
135\endcode
136
[692]137
138\subsection write-maps Writable Maps
139
140To be written...
141
142\subsection side-effect-maps Maps with Side Effect
143
144To be written...
145
[202]146*/
[1083]147}
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