[1979] | 1 | /* -*- C++ -*- |
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| 2 | * |
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| 3 | * This file is a part of LEMON, a generic C++ optimization library |
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| 4 | * |
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| 5 | * Copyright (C) 2003-2006 |
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| 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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| 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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| 8 | * |
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| 9 | * Permission to use, modify and distribute this software is granted |
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| 10 | * provided that this copyright notice appears in all copies. For |
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| 11 | * precise terms see the accompanying LICENSE file. |
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| 12 | * |
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| 13 | * This software is provided "AS IS" with no warranty of any kind, |
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| 14 | * express or implied, and with no claim as to its suitability for any |
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| 15 | * purpose. |
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| 16 | * |
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| 17 | */ |
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| 18 | |
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| 19 | #ifndef GRID_UGRAPH_H |
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| 20 | #define GRID_UGRAPH_H |
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| 21 | |
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| 22 | #include <iostream> |
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| 23 | #include <lemon/invalid.h> |
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| 24 | #include <lemon/utility.h> |
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| 25 | |
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| 26 | #include <lemon/bits/graph_extender.h> |
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| 27 | |
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| 28 | #include <lemon/xy.h> |
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| 29 | |
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| 30 | ///\ingroup graphs |
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| 31 | ///\file |
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| 32 | ///\brief GridUGraph class. |
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| 33 | |
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| 34 | namespace lemon { |
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| 35 | |
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| 36 | /// \brief Base graph for GridUGraph. |
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| 37 | /// |
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| 38 | /// Base graph for grid graph. It describes some member functions |
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| 39 | /// which can be used in the GridUGraph. |
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| 40 | /// |
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| 41 | /// \warning Always use the GridUGraph instead of this. |
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| 42 | /// \see GridUGraph |
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| 43 | class GridUGraphBase { |
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| 44 | |
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| 45 | public: |
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| 46 | |
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| 47 | typedef GridUGraphBase UGraph; |
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| 48 | |
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| 49 | class Node; |
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| 50 | class Edge; |
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| 51 | |
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| 52 | public: |
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| 53 | |
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| 54 | GridUGraphBase() {} |
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| 55 | |
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| 56 | protected: |
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| 57 | |
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| 58 | /// \brief Creates a grid graph with the given size. |
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| 59 | /// |
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| 60 | /// Creates a grid graph with the given size. |
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| 61 | void construct(int width, int height) { |
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| 62 | _height = height; _width = width; |
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| 63 | _nodeNum = height * width; _edgeNum = 2 * _nodeNum - width - height; |
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| 64 | _edgeLimit = _nodeNum - width; |
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| 65 | } |
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| 66 | |
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| 67 | /// \brief Gives back the edge goes down from the node. |
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| 68 | /// |
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| 69 | /// Gives back the edge goes down from the node. If there is not |
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| 70 | /// outgoing edge then it gives back INVALID. |
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| 71 | Edge _down(Node n) const { |
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| 72 | if (n.id < _nodeNum - _width) { |
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| 73 | return Edge(n.id); |
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| 74 | } else { |
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| 75 | return INVALID; |
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| 76 | } |
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| 77 | } |
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| 78 | |
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| 79 | /// \brief Gives back the edge comes from up into the node. |
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| 80 | /// |
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| 81 | /// Gives back the edge comes from up into the node. If there is not |
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| 82 | /// incoming edge then it gives back INVALID. |
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| 83 | Edge _up(Node n) const { |
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| 84 | if (n.id >= _width) { |
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| 85 | return Edge(n.id - _width); |
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| 86 | } else { |
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| 87 | return INVALID; |
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| 88 | } |
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| 89 | } |
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| 90 | |
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| 91 | /// \brief Gives back the edge goes right from the node. |
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| 92 | /// |
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| 93 | /// Gives back the edge goes right from the node. If there is not |
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| 94 | /// outgoing edge then it gives back INVALID. |
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| 95 | Edge _right(Node n) const { |
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| 96 | if (n.id % _width < _width - 1) { |
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| 97 | return _edgeLimit + n.id % _width + (n.id / _width) * (_width - 1); |
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| 98 | } else { |
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| 99 | return INVALID; |
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| 100 | } |
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| 101 | } |
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| 102 | |
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| 103 | /// \brief Gives back the edge comes from left into the node. |
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| 104 | /// |
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| 105 | /// Gives back the edge comes left up into the node. If there is not |
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| 106 | /// incoming edge then it gives back INVALID. |
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| 107 | Edge _left(Node n) const { |
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| 108 | if (n.id % _width > 0) { |
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| 109 | return _edgeLimit + n.id % _width + (n.id / _width) * (_width - 1) - 1; |
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| 110 | } else { |
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| 111 | return INVALID; |
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| 112 | } |
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| 113 | } |
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| 114 | |
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| 115 | public: |
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| 116 | |
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| 117 | class IndexError : public RuntimeError { |
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| 118 | public: |
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| 119 | virtual const char* exceptionName() const { |
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| 120 | return "lemon::GridUGraph::IndexError"; |
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| 121 | } |
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| 122 | }; |
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| 123 | |
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| 124 | |
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| 125 | /// \brief The node on the given position. |
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| 126 | /// |
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| 127 | /// Gives back the node on the given position. |
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| 128 | Node operator()(int i, int j) const { |
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| 129 | LEMON_ASSERT(0 <= i && i < width() && 0 <= j && j < height(), IndexError()); |
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| 130 | return Node(i + j * _width); |
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| 131 | } |
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| 132 | |
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| 133 | /// \brief Gives back the row index of the node. |
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| 134 | /// |
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| 135 | /// Gives back the row index of the node. |
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| 136 | int row(Node n) const { |
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| 137 | return n.id / _width; |
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| 138 | } |
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| 139 | |
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| 140 | /// \brief Gives back the coloumn index of the node. |
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| 141 | /// |
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| 142 | /// Gives back the coloumn index of the node. |
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| 143 | int col(Node n) const { |
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| 144 | return n.id % _width; |
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| 145 | } |
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| 146 | |
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| 147 | /// \brief Gives back the width of the graph. |
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| 148 | /// |
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| 149 | /// Gives back the width of the graph. |
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| 150 | int width() const { |
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| 151 | return _width; |
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| 152 | } |
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| 153 | |
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| 154 | /// \brief Gives back the height of the graph. |
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| 155 | /// |
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| 156 | /// Gives back the height of the graph. |
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| 157 | int height() const { |
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| 158 | return _height; |
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| 159 | } |
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| 160 | |
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| 161 | typedef True NodeNumTag; |
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| 162 | typedef True EdgeNumTag; |
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| 163 | |
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| 164 | ///Number of nodes. |
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| 165 | int nodeNum() const { return _nodeNum; } |
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| 166 | ///Number of edges. |
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| 167 | int edgeNum() const { return _edgeNum; } |
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| 168 | |
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| 169 | /// Maximum node ID. |
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| 170 | |
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| 171 | /// Maximum node ID. |
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| 172 | ///\sa id(Node) |
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| 173 | int maxNodeId() const { return nodeNum() - 1; } |
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| 174 | /// Maximum edge ID. |
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| 175 | |
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| 176 | /// Maximum edge ID. |
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| 177 | ///\sa id(Edge) |
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| 178 | int maxEdgeId() const { return edgeNum() - 1; } |
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| 179 | |
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| 180 | /// \brief Gives back the source node of an edge. |
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| 181 | /// |
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| 182 | /// Gives back the source node of an edge. |
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| 183 | Node source(Edge e) const { |
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| 184 | if (e.id < _edgeLimit) { |
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| 185 | return e.id; |
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| 186 | } else { |
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| 187 | return (e.id - _edgeLimit) % (_width - 1) + |
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| 188 | (e.id - _edgeLimit) / (_width - 1) * _width; |
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| 189 | } |
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| 190 | } |
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| 191 | |
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| 192 | /// \brief Gives back the target node of an edge. |
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| 193 | /// |
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| 194 | /// Gives back the target node of an edge. |
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| 195 | Node target(Edge e) const { |
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| 196 | if (e.id < _edgeLimit) { |
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| 197 | return e.id + _width; |
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| 198 | } else { |
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| 199 | return (e.id - _edgeLimit) % (_width - 1) + |
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| 200 | (e.id - _edgeLimit) / (_width - 1) * _width + 1; |
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| 201 | } |
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| 202 | } |
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| 203 | |
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| 204 | /// Node ID. |
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| 205 | |
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| 206 | /// The ID of a valid Node is a nonnegative integer not greater than |
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| 207 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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| 208 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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| 209 | /// |
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| 210 | /// The ID of the \ref INVALID node is -1. |
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| 211 | ///\return The ID of the node \c v. |
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| 212 | |
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| 213 | static int id(Node v) { return v.id; } |
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| 214 | /// Edge ID. |
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| 215 | |
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| 216 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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| 217 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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| 218 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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| 219 | /// |
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| 220 | /// The ID of the \ref INVALID edge is -1. |
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| 221 | ///\return The ID of the edge \c e. |
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| 222 | static int id(Edge e) { return e.id; } |
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| 223 | |
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| 224 | static Node nodeFromId(int id) { return Node(id);} |
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| 225 | |
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| 226 | static Edge edgeFromId(int id) { return Edge(id);} |
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| 227 | |
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| 228 | typedef True FindEdgeTag; |
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| 229 | |
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| 230 | /// Finds an edge between two nodes. |
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| 231 | |
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| 232 | /// Finds an edge from node \c u to node \c v. |
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| 233 | /// |
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| 234 | /// If \c prev is \ref INVALID (this is the default value), then |
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| 235 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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| 236 | /// the next edge from \c u to \c v after \c prev. |
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| 237 | /// \return The found edge or INVALID if there is no such an edge. |
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| 238 | Edge findEdge(Node u, Node v, Edge prev = INVALID) const { |
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| 239 | if (prev != INVALID) return INVALID; |
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| 240 | if (v.id - u.id == _width) return Edge(u.id); |
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| 241 | if (v.id - u.id == 1 && u.id % _width < _width - 1) { |
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| 242 | return Edge(u.id / _width * (_width - 1) + |
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| 243 | u.id % _width + _edgeLimit); |
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| 244 | } |
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| 245 | return INVALID; |
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| 246 | } |
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| 247 | |
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| 248 | |
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| 249 | class Node { |
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| 250 | friend class GridUGraphBase; |
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| 251 | |
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| 252 | protected: |
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| 253 | int id; |
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| 254 | Node(int _id) { id = _id;} |
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| 255 | public: |
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| 256 | Node() {} |
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| 257 | Node (Invalid) { id = -1; } |
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| 258 | bool operator==(const Node node) const {return id == node.id;} |
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| 259 | bool operator!=(const Node node) const {return id != node.id;} |
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| 260 | bool operator<(const Node node) const {return id < node.id;} |
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| 261 | }; |
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| 262 | |
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| 263 | |
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| 264 | |
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| 265 | class Edge { |
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| 266 | friend class GridUGraphBase; |
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| 267 | |
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| 268 | protected: |
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| 269 | int id; |
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| 270 | |
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| 271 | Edge(int _id) : id(_id) {} |
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| 272 | |
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| 273 | public: |
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| 274 | Edge() { } |
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| 275 | Edge (Invalid) { id = -1; } |
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| 276 | bool operator==(const Edge edge) const {return id == edge.id;} |
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| 277 | bool operator!=(const Edge edge) const {return id != edge.id;} |
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| 278 | bool operator<(const Edge edge) const {return id < edge.id;} |
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| 279 | }; |
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| 280 | |
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| 281 | void first(Node& node) const { |
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| 282 | node.id = nodeNum() - 1; |
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| 283 | } |
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| 284 | |
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| 285 | static void next(Node& node) { |
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| 286 | --node.id; |
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| 287 | } |
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| 288 | |
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| 289 | void first(Edge& edge) const { |
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| 290 | edge.id = edgeNum() - 1; |
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| 291 | } |
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| 292 | |
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| 293 | static void next(Edge& edge) { |
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| 294 | --edge.id; |
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| 295 | } |
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| 296 | |
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| 297 | void firstOut(Edge& edge, const Node& node) const { |
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| 298 | if (node.id < _nodeNum - _width) { |
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| 299 | edge.id = node.id; |
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| 300 | } else if (node.id % _width < _width - 1) { |
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| 301 | edge.id = _edgeLimit + node.id % _width + |
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| 302 | (node.id / _width) * (_width - 1); |
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| 303 | } else { |
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| 304 | edge.id = -1; |
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| 305 | } |
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| 306 | } |
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| 307 | |
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| 308 | void nextOut(Edge& edge) const { |
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| 309 | if (edge.id >= _edgeLimit) { |
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| 310 | edge.id = -1; |
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| 311 | } else if (edge.id % _width < _width - 1) { |
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| 312 | edge.id = _edgeLimit + edge.id % _width + |
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| 313 | (edge.id / _width) * (_width - 1); |
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| 314 | } else { |
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| 315 | edge.id = -1; |
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| 316 | } |
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| 317 | } |
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| 318 | |
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| 319 | void firstIn(Edge& edge, const Node& node) const { |
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| 320 | if (node.id >= _width) { |
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| 321 | edge.id = node.id - _width; |
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| 322 | } else if (node.id % _width > 0) { |
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| 323 | edge.id = _edgeLimit + node.id % _width + |
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| 324 | (node.id / _width) * (_width - 1) - 1; |
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| 325 | } else { |
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| 326 | edge.id = -1; |
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| 327 | } |
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| 328 | } |
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| 329 | |
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| 330 | void nextIn(Edge& edge) const { |
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| 331 | if (edge.id >= _edgeLimit) { |
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| 332 | edge.id = -1; |
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| 333 | } else if (edge.id % _width > 0) { |
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| 334 | edge.id = _edgeLimit + edge.id % _width + |
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| 335 | (edge.id / _width + 1) * (_width - 1) - 1; |
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| 336 | } else { |
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| 337 | edge.id = -1; |
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| 338 | } |
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| 339 | } |
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| 340 | |
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| 341 | private: |
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| 342 | int _width, _height; |
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| 343 | int _nodeNum, _edgeNum; |
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| 344 | int _edgeLimit; |
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| 345 | }; |
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| 346 | |
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| 347 | |
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| 348 | typedef UGraphExtender<UGraphBaseExtender< |
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| 349 | GridUGraphBase> > ExtendedGridUGraphBase; |
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| 350 | |
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| 351 | /// \ingroup graphs |
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| 352 | /// |
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| 353 | /// \brief Grid graph class |
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| 354 | /// |
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| 355 | /// This class implements a special graph type. The nodes of the |
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| 356 | /// graph can be indiced by two integer \c (i,j) value where \c i |
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| 357 | /// is in the \c [0,width) range and j is in the [0, height) range. |
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| 358 | /// Two nodes are connected in the graph if the indices differ only |
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| 359 | /// on one position and only one is the difference. |
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| 360 | /// |
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| 361 | /// The graph can be indiced in the following way: |
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| 362 | ///\code |
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| 363 | /// GridUGraph graph(w, h); |
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| 364 | /// GridUGraph::NodeMap<int> val(graph); |
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| 365 | /// for (int i = 0; i < graph.width(); ++i) { |
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| 366 | /// for (int j = 0; j < graph.height(); ++j) { |
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| 367 | /// val[graph(i, j)] = i + j; |
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| 368 | /// } |
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| 369 | /// } |
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| 370 | ///\endcode |
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| 371 | /// |
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| 372 | /// The graph type is fully conform to the \ref concept::UUGraph |
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| 373 | /// "Undirected UGraph" concept. |
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| 374 | /// |
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| 375 | /// \author Balazs Dezso |
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| 376 | /// \see GridUGraphBase |
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| 377 | class GridUGraph : public ExtendedGridUGraphBase { |
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| 378 | public: |
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| 379 | |
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| 380 | typedef ExtendedGridUGraphBase Parent; |
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| 381 | |
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| 382 | /// \brief Map to get the indices of the nodes as xy<int>. |
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| 383 | /// |
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| 384 | /// Map to get the indices of the nodes as xy<int>. |
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| 385 | class IndexMap { |
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| 386 | public: |
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| 387 | /// \brief The key type of the map |
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| 388 | typedef GridUGraph::Node Key; |
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| 389 | /// \brief The value type of the map |
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| 390 | typedef xy<int> Value; |
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| 391 | |
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| 392 | /// \brief Constructor |
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| 393 | /// |
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| 394 | /// Constructor |
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| 395 | IndexMap(const GridUGraph& _graph) : graph(_graph) {} |
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| 396 | |
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| 397 | /// \brief The subscript operator |
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| 398 | /// |
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| 399 | /// The subscript operator. |
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| 400 | Value operator[](Key key) const { |
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| 401 | return xy<int>(graph.row(key), graph.col(key)); |
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| 402 | } |
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| 403 | |
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| 404 | private: |
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| 405 | const GridUGraph& graph; |
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| 406 | }; |
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| 407 | |
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| 408 | /// \brief Map to get the row of the nodes. |
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| 409 | /// |
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| 410 | /// Map to get the row of the nodes. |
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| 411 | class RowMap { |
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| 412 | public: |
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| 413 | /// \brief The key type of the map |
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| 414 | typedef GridUGraph::Node Key; |
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| 415 | /// \brief The value type of the map |
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| 416 | typedef int Value; |
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| 417 | |
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| 418 | /// \brief Constructor |
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| 419 | /// |
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| 420 | /// Constructor |
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| 421 | RowMap(const GridUGraph& _graph) : graph(_graph) {} |
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| 422 | |
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| 423 | /// \brief The subscript operator |
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| 424 | /// |
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| 425 | /// The subscript operator. |
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| 426 | Value operator[](Key key) const { |
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| 427 | return graph.row(key); |
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| 428 | } |
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| 429 | |
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| 430 | private: |
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| 431 | const GridUGraph& graph; |
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| 432 | }; |
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| 433 | |
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| 434 | /// \brief Map to get the column of the nodes. |
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| 435 | /// |
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| 436 | /// Map to get the column of the nodes. |
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| 437 | class ColMap { |
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| 438 | public: |
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| 439 | /// \brief The key type of the map |
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| 440 | typedef GridUGraph::Node Key; |
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| 441 | /// \brief The value type of the map |
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| 442 | typedef int Value; |
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| 443 | |
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| 444 | /// \brief Constructor |
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| 445 | /// |
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| 446 | /// Constructor |
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| 447 | ColMap(const GridUGraph& _graph) : graph(_graph) {} |
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| 448 | |
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| 449 | /// \brief The subscript operator |
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| 450 | /// |
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| 451 | /// The subscript operator. |
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| 452 | Value operator[](Key key) const { |
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| 453 | return graph.col(key); |
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| 454 | } |
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| 455 | |
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| 456 | private: |
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| 457 | const GridUGraph& graph; |
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| 458 | }; |
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| 459 | |
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| 460 | /// \brief Constructor |
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| 461 | /// |
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| 462 | /// |
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| 463 | GridUGraph(int n, int m) { construct(n, m); } |
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| 464 | |
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| 465 | /// \brief Resize the graph |
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| 466 | /// |
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| 467 | void resize(int n, int m) { |
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| 468 | Parent::getNotifier(Edge()).clear(); |
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| 469 | Parent::getNotifier(UEdge()).clear(); |
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| 470 | Parent::getNotifier(Node()).clear(); |
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| 471 | construct(n, m); |
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| 472 | Parent::getNotifier(Node()).build(); |
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| 473 | Parent::getNotifier(UEdge()).build(); |
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| 474 | Parent::getNotifier(Edge()).build(); |
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| 475 | } |
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| 476 | |
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| 477 | /// \brief Gives back the edge goes down from the node. |
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| 478 | /// |
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| 479 | /// Gives back the edge goes down from the node. If there is not |
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| 480 | /// outgoing edge then it gives back INVALID. |
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| 481 | Edge down(Node n) const { |
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| 482 | UEdge ue = _down(n); |
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| 483 | return ue != INVALID ? direct(ue, true) : INVALID; |
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| 484 | } |
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| 485 | |
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| 486 | /// \brief Gives back the edge goes up from the node. |
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| 487 | /// |
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| 488 | /// Gives back the edge goes up from the node. If there is not |
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| 489 | /// outgoing edge then it gives back INVALID. |
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| 490 | Edge up(Node n) const { |
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| 491 | UEdge ue = _up(n); |
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| 492 | return ue != INVALID ? direct(ue, false) : INVALID; |
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| 493 | } |
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| 494 | |
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| 495 | /// \brief Gives back the edge goes right from the node. |
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| 496 | /// |
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| 497 | /// Gives back the edge goes right from the node. If there is not |
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| 498 | /// outgoing edge then it gives back INVALID. |
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| 499 | Edge right(Node n) const { |
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| 500 | UEdge ue = _right(n); |
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| 501 | return ue != INVALID ? direct(ue, true) : INVALID; |
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| 502 | } |
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| 503 | |
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| 504 | /// \brief Gives back the edge goes left from the node. |
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| 505 | /// |
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| 506 | /// Gives back the edge goes left from the node. If there is not |
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| 507 | /// outgoing edge then it gives back INVALID. |
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| 508 | Edge left(Node n) const { |
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| 509 | UEdge ue = _left(n); |
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| 510 | return ue != INVALID ? direct(ue, false) : INVALID; |
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| 511 | } |
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| 512 | |
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| 513 | }; |
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| 514 | |
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| 515 | /// \brief Index map of the grid graph |
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| 516 | /// |
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| 517 | /// Just returns an IndexMap for the grid graph. |
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| 518 | GridUGraph::IndexMap indexMap(const GridUGraph& graph) { |
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| 519 | return GridUGraph::IndexMap(graph); |
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| 520 | } |
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| 521 | |
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| 522 | /// \brief Row map of the grid graph |
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| 523 | /// |
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| 524 | /// Just returns a RowMap for the grid graph. |
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| 525 | GridUGraph::RowMap rowMap(const GridUGraph& graph) { |
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| 526 | return GridUGraph::RowMap(graph); |
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| 527 | } |
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| 528 | |
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| 529 | /// \brief Column map of the grid graph |
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| 530 | /// |
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| 531 | /// Just returns a ColMap for the grid graph. |
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| 532 | GridUGraph::ColMap colMap(const GridUGraph& graph) { |
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| 533 | return GridUGraph::ColMap(graph); |
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| 534 | } |
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| 535 | } |
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| 536 | #endif |
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