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1 //
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2 //=======================================================================
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3 // Copyright 2002 Marc Wintermantel (wintermantel@even-ag.ch)
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4 // ETH Zurich, Center of Structure Technologies (www.imes.ethz.ch/st)
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5 //
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6 // Distributed under the Boost Software License, Version 1.0. (See
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7 // accompanying file LICENSE_1_0.txt or copy at
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8 // http://www.boost.org/LICENSE_1_0.txt)
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9 //=======================================================================
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10 //
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11
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12 #ifndef BOOST_GRAPH_WAVEFRONT_HPP
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13 #define BOOST_GRAPH_WAVEFRONT_HPP
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14
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15 #include <boost/config.hpp>
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16 #include <boost/graph/graph_traits.hpp>
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17 #include <boost/detail/numeric_traits.hpp>
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18 #include <boost/graph/bandwidth.hpp>
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19 #include <boost/config/no_tr1/cmath.hpp>
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20 #include <vector>
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21 #include <algorithm> // for std::min and std::max
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22
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23 namespace boost {
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24
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25 template <typename Graph, typename VertexIndexMap>
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26 typename graph_traits<Graph>::vertices_size_type
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27 ith_wavefront(typename graph_traits<Graph>::vertex_descriptor i,
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28 const Graph& g,
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29 VertexIndexMap index)
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30 {
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31 typename graph_traits<Graph>::vertex_descriptor v, w;
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32 typename graph_traits<Graph>::vertices_size_type b = 1;
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33 typename graph_traits<Graph>::out_edge_iterator edge_it2, edge_it2_end;
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34 typename graph_traits<Graph>::vertices_size_type index_i = index[i];
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35 std::vector<bool> rows_active(num_vertices(g), false);
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36
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37 rows_active[index_i] = true;
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38
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39 typename graph_traits<Graph>::vertex_iterator ui, ui_end;
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40 for (boost::tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui)
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41 {
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42 v = *ui;
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43 if(index[v] <= index_i)
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44 {
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45 for (boost::tie(edge_it2, edge_it2_end) = out_edges(v, g); edge_it2 != edge_it2_end; ++edge_it2)
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46 {
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47 w = target(*edge_it2, g);
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48 if( (index[w] >= index_i) && (!rows_active[index[w]]) )
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49 {
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50 b++;
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51 rows_active[index[w]] = true;
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52 }
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53 }
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54 }
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55 }
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56
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57 return b;
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58 }
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59
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60
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61 template <typename Graph>
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62 typename graph_traits<Graph>::vertices_size_type
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63 ith_wavefront(typename graph_traits<Graph>::vertex_descriptor i,
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64 const Graph& g)
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65 {
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66 return ith_wavefront(i, g, get(vertex_index, g));
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67 }
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68
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69
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70 template <typename Graph, typename VertexIndexMap>
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71 typename graph_traits<Graph>::vertices_size_type
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72 max_wavefront(const Graph& g, VertexIndexMap index)
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73 {
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74 BOOST_USING_STD_MAX();
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75 typename graph_traits<Graph>::vertices_size_type b = 0;
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76 typename graph_traits<Graph>::vertex_iterator i, end;
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77 for (boost::tie(i, end) = vertices(g); i != end; ++i)
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78 b = max BOOST_PREVENT_MACRO_SUBSTITUTION(b, ith_wavefront(*i, g, index));
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79 return b;
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80 }
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81
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82 template <typename Graph>
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83 typename graph_traits<Graph>::vertices_size_type
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84 max_wavefront(const Graph& g)
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85 {
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86 return max_wavefront(g, get(vertex_index, g));
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87 }
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88
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89
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90 template <typename Graph, typename VertexIndexMap>
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91 double
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92 aver_wavefront(const Graph& g, VertexIndexMap index)
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93 {
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94 double b = 0;
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95 typename graph_traits<Graph>::vertex_iterator i, end;
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96 for (boost::tie(i, end) = vertices(g); i != end; ++i)
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97 b += ith_wavefront(*i, g, index);
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98
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99 b /= num_vertices(g);
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100 return b;
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101 }
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102
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103 template <typename Graph>
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104 double
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105 aver_wavefront(const Graph& g)
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106 {
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107 return aver_wavefront(g, get(vertex_index, g));
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108 }
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109
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110
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111 template <typename Graph, typename VertexIndexMap>
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112 double
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113 rms_wavefront(const Graph& g, VertexIndexMap index)
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114 {
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115 double b = 0;
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116 typename graph_traits<Graph>::vertex_iterator i, end;
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117 for (boost::tie(i, end) = vertices(g); i != end; ++i)
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118 b += std::pow(double ( ith_wavefront(*i, g, index) ), 2.0);
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119
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120 b /= num_vertices(g);
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121
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122 return std::sqrt(b);
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123 }
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124
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125 template <typename Graph>
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126 double
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127 rms_wavefront(const Graph& g)
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128 {
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129 return rms_wavefront(g, get(vertex_index, g));
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130 }
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131
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132
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133 } // namespace boost
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134
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135 #endif // BOOST_GRAPH_WAVEFRONT_HPP
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