[1083] | 1 | namespace lemon{ |
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[202] | 2 | /*! |
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| 3 | |
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[1043] | 4 | \page maps-page Maps |
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[692] | 5 | |
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[1167] | 6 | Maps play a central role in LEMON. As their name suggests, they map a |
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[692] | 7 | certain range of \e keys to certain \e values. Each map has two |
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| 8 | <tt>typedef</tt>'s to determine the types of keys and values, like this: |
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| 9 | |
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| 10 | \code |
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[987] | 11 | typedef Edge Key; |
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| 12 | typedef double Value; |
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[692] | 13 | \endcode |
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| 14 | |
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[1183] | 15 | A map can be |
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| 16 | \e readable (\ref lemon::concept::ReadMap "ReadMap", for short), |
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[1083] | 17 | \e writable (\ref lemon::concept::WriteMap "WriteMap") or both |
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| 18 | (\ref lemon::concept::ReadWriteMap "ReadWriteMap"). |
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| 19 | There also exists a special type of |
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| 20 | ReadWrite map called \ref lemon::concept::ReferenceMap "reference map". |
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| 21 | In addition that you can |
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[692] | 22 | read and write the values of a key, a reference map |
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| 23 | can also give you a reference to the |
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| 24 | value belonging to a key, so you have a direct access to the memory address |
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| 25 | where it is stored. |
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| 26 | |
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[921] | 27 | Each graph structure in LEMON provides two standard map templates called |
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[692] | 28 | \c EdgeMap and \c NodeMap. Both are reference maps and you can easily |
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| 29 | assign data to the nodes and to the edges of the graph. For example if you |
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| 30 | have a graph \c G defined as |
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| 31 | \code |
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| 32 | ListGraph G; |
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| 33 | \endcode |
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[1083] | 34 | and you want to assign a floating point value to each edge, you can do |
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[692] | 35 | it like this. |
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| 36 | \code |
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| 37 | ListGraph::EdgeMap<double> length(G); |
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| 38 | \endcode |
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[1083] | 39 | Note that you must give the underlying graph to the constructor. |
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[692] | 40 | |
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| 41 | The value of a readable map can be obtained by <tt>operator[]</tt>. |
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| 42 | \code |
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| 43 | d=length[e]; |
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| 44 | \endcode |
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| 45 | where \c e is an instance of \c ListGraph::Edge. |
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| 46 | (Or anything else |
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| 47 | that converts to \c ListGraph::Edge, like \c ListGraph::EdgeIt or |
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[1083] | 48 | \c ListGraph::OutEdgeIt etc.) |
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[692] | 49 | |
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[1167] | 50 | There are two ways to assign a new value to a key |
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[692] | 51 | |
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| 52 | - In case of a <em>reference map</em> <tt>operator[]</tt> |
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| 53 | gives you a reference to the |
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| 54 | value, thus you can use this. |
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| 55 | \code |
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| 56 | length[e]=3.5; |
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| 57 | \endcode |
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| 58 | - <em>Writable maps</em> have |
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[987] | 59 | a member function \c set(Key,const Value &) |
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[692] | 60 | for this purpose. |
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| 61 | \code |
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| 62 | length.set(e,3.5); |
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| 63 | \endcode |
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| 64 | |
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| 65 | The first case is more comfortable and if you store complex structures in your |
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| 66 | map, it might be more efficient. However, there are writable but |
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[1083] | 67 | not reference maps, so if you want to write a generic algorithm, you should |
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| 68 | insist on the second way. |
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[692] | 69 | |
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[697] | 70 | \section how-to-write-your-own-map How to Write Your Own Maps |
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[692] | 71 | |
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| 72 | \subsection read-maps Readable Maps |
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[202] | 73 | |
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[1167] | 74 | Readable maps are very frequently used as the input of an |
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| 75 | algorithm. For this purpose the most straightforward way is the use of the |
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[921] | 76 | default maps provided by LEMON's graph structures. |
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[692] | 77 | Very often however, it is more |
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[289] | 78 | convenient and/or more efficient to write your own readable map. |
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[202] | 79 | |
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[692] | 80 | You can find some examples below. In these examples \c Graph is the |
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| 81 | type of the particular graph structure you use. |
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| 82 | |
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[202] | 83 | |
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[204] | 84 | This simple map assigns \f$\pi\f$ to each edge. |
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| 85 | |
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[202] | 86 | \code |
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[273] | 87 | struct MyMap |
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[202] | 88 | { |
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[987] | 89 | typedef double Value; |
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| 90 | typedef Graph::Edge Key; |
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| 91 | double operator[](Key e) const { return M_PI;} |
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[204] | 92 | }; |
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| 93 | \endcode |
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| 94 | |
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[692] | 95 | An alternative way to define maps is to use \c MapBase |
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| 96 | |
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| 97 | \todo For this, \c MapBase seems to be a better name then \c NullMap. |
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[289] | 98 | |
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| 99 | \code |
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[692] | 100 | struct MyMap : public MapBase<Graph::Edge,double> |
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[289] | 101 | { |
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[987] | 102 | Value operator[](Key e) const { return M_PI;} |
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[289] | 103 | }; |
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| 104 | \endcode |
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| 105 | |
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[692] | 106 | Here is a bit more complex example. |
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[1083] | 107 | It provides a length function obtained |
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[692] | 108 | from a base length function shifted by a potential difference. |
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[202] | 109 | |
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| 110 | \code |
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[1083] | 111 | class ReducedLengthMap : public MapBase<Graph::Edge,double> |
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[202] | 112 | { |
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[1083] | 113 | const Graph &g; |
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[692] | 114 | const Graph::EdgeMap<double> &orig_len; |
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| 115 | const Graph::NodeMap<double> &pot; |
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[202] | 116 | |
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[273] | 117 | public: |
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[987] | 118 | Value operator[](Key e) const { |
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[1167] | 119 | return orig_len.get(e)-(pot.get(G.target(e))-pot.get(G.source(e))); |
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[210] | 120 | } |
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[202] | 121 | |
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[1083] | 122 | ReducedLengthMap(const Graph &_g, |
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| 123 | const Graph::EdgeMap &o, |
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| 124 | const Graph::NodeMap &p) |
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[692] | 125 | : G(g), orig_len(o), pot(p) {}; |
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[202] | 126 | }; |
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| 127 | \endcode |
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| 128 | |
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[1083] | 129 | Then, you can call e.g. Dijkstra algoritm on this map like this: |
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| 130 | \code |
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| 131 | ... |
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| 132 | ReducedLengthMap rm(g,len,pot); |
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| 133 | Dijkstra<Graph,ReducedLengthMap> dij(g,rm); |
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| 134 | dij.run(s); |
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| 135 | ... |
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| 136 | \endcode |
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| 137 | |
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[692] | 138 | |
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| 139 | \subsection write-maps Writable Maps |
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| 140 | |
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| 141 | To be written... |
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| 142 | |
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| 143 | \subsection side-effect-maps Maps with Side Effect |
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| 144 | |
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| 145 | To be written... |
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| 146 | |
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[202] | 147 | */ |
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[1183] | 148 | } |
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