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1 // Boost.Geometry (aka GGL, Generic Geometry Library)
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2
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3 // Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
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4
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5 // Use, modification and distribution is subject to the Boost Software License,
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6 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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7 // http://www.boost.org/LICENSE_1_0.txt)
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8
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9 #ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
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10 #define BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
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11
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12 #include <vector>
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13 #include <boost/range/algorithm/copy.hpp>
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14 #include <boost/geometry/algorithms/assign.hpp>
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15 #include <boost/geometry/core/coordinate_type.hpp>
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16
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17 namespace boost { namespace geometry
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18 {
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19
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20 namespace detail { namespace partition
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21 {
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22
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23 typedef std::vector<std::size_t> index_vector_type;
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24
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25 template <int Dimension, typename Box>
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26 inline void divide_box(Box const& box, Box& lower_box, Box& upper_box)
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27 {
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28 typedef typename coordinate_type<Box>::type ctype;
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29
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30 // Divide input box into two parts, e.g. left/right
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31 ctype two = 2;
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32 ctype mid = (geometry::get<min_corner, Dimension>(box)
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33 + geometry::get<max_corner, Dimension>(box)) / two;
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34
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35 lower_box = box;
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36 upper_box = box;
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37 geometry::set<max_corner, Dimension>(lower_box, mid);
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38 geometry::set<min_corner, Dimension>(upper_box, mid);
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39 }
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40
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41 // Divide collection into three subsets: lower, upper and oversized
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42 // (not-fitting)
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43 // (lower == left or bottom, upper == right or top)
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44 template <typename OverlapsPolicy, typename InputCollection, typename Box>
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45 static inline void divide_into_subsets(Box const& lower_box,
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46 Box const& upper_box,
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47 InputCollection const& collection,
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48 index_vector_type const& input,
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49 index_vector_type& lower,
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50 index_vector_type& upper,
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51 index_vector_type& exceeding)
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52 {
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53 typedef boost::range_iterator
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54 <
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55 index_vector_type const
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56 >::type index_iterator_type;
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57
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58 for(index_iterator_type it = boost::begin(input);
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59 it != boost::end(input);
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60 ++it)
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61 {
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62 bool const lower_overlapping = OverlapsPolicy::apply(lower_box,
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63 collection[*it]);
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64 bool const upper_overlapping = OverlapsPolicy::apply(upper_box,
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65 collection[*it]);
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66
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67 if (lower_overlapping && upper_overlapping)
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68 {
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69 exceeding.push_back(*it);
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70 }
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71 else if (lower_overlapping)
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72 {
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73 lower.push_back(*it);
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74 }
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75 else if (upper_overlapping)
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76 {
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77 upper.push_back(*it);
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78 }
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79 else
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80 {
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81 // Is nowhere! Should not occur!
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82 BOOST_ASSERT(true);
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83 }
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84 }
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85 }
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86
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87 // Match collection with itself
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88 template <typename InputCollection, typename Policy>
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89 static inline void handle_one(InputCollection const& collection,
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90 index_vector_type const& input,
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91 Policy& policy)
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92 {
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93 typedef boost::range_iterator<index_vector_type const>::type
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94 index_iterator_type;
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95 // Quadratic behaviour at lowest level (lowest quad, or all exceeding)
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96 for(index_iterator_type it1 = boost::begin(input);
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97 it1 != boost::end(input);
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98 ++it1)
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99 {
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100 index_iterator_type it2 = it1;
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101 for(++it2; it2 != boost::end(input); ++it2)
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102 {
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103 policy.apply(collection[*it1], collection[*it2]);
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104 }
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105 }
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106 }
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107
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108 // Match collection 1 with collection 2
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109 template <typename InputCollection, typename Policy>
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110 static inline void handle_two(
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111 InputCollection const& collection1, index_vector_type const& input1,
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112 InputCollection const& collection2, index_vector_type const& input2,
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113 Policy& policy)
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114 {
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115 typedef boost::range_iterator
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116 <
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117 index_vector_type const
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118 >::type index_iterator_type;
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119
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120 for(index_iterator_type it1 = boost::begin(input1);
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121 it1 != boost::end(input1);
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122 ++it1)
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123 {
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124 for(index_iterator_type it2 = boost::begin(input2);
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125 it2 != boost::end(input2);
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126 ++it2)
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127 {
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128 policy.apply(collection1[*it1], collection2[*it2]);
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129 }
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130 }
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131 }
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132
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133 template
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134 <
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135 int Dimension,
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136 typename Box,
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137 typename OverlapsPolicy,
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138 typename VisitBoxPolicy
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139 >
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140 class partition_one_collection
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141 {
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142 typedef std::vector<std::size_t> index_vector_type;
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143 typedef typename coordinate_type<Box>::type ctype;
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144 typedef partition_one_collection
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145 <
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146 1 - Dimension,
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147 Box,
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148 OverlapsPolicy,
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149 VisitBoxPolicy
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150 > sub_divide;
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151
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152 template <typename InputCollection, typename Policy>
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153 static inline void next_level(Box const& box,
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154 InputCollection const& collection,
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155 index_vector_type const& input,
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156 int level, std::size_t min_elements,
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157 Policy& policy, VisitBoxPolicy& box_policy)
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158 {
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159 if (boost::size(input) > 0)
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160 {
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161 if (std::size_t(boost::size(input)) > min_elements && level < 100)
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162 {
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163 sub_divide::apply(box, collection, input, level + 1,
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164 min_elements, policy, box_policy);
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165 }
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166 else
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167 {
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168 handle_one(collection, input, policy);
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169 }
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170 }
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171 }
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172
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173 public :
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174 template <typename InputCollection, typename Policy>
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175 static inline void apply(Box const& box,
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176 InputCollection const& collection,
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177 index_vector_type const& input,
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178 int level,
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179 std::size_t min_elements,
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180 Policy& policy, VisitBoxPolicy& box_policy)
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181 {
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182 box_policy.apply(box, level);
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183
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184 Box lower_box, upper_box;
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185 divide_box<Dimension>(box, lower_box, upper_box);
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186
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187 index_vector_type lower, upper, exceeding;
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188 divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection,
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189 input, lower, upper, exceeding);
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190
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191 if (boost::size(exceeding) > 0)
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192 {
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193 // All what is not fitting a partition should be combined
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194 // with each other, and with all which is fitting.
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195 handle_one(collection, exceeding, policy);
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196 handle_two(collection, exceeding, collection, lower, policy);
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197 handle_two(collection, exceeding, collection, upper, policy);
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198 }
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199
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200 // Recursively call operation both parts
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201 next_level(lower_box, collection, lower, level, min_elements,
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202 policy, box_policy);
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203 next_level(upper_box, collection, upper, level, min_elements,
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204 policy, box_policy);
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205 }
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206 };
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207
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208 template
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209 <
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210 int Dimension,
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211 typename Box,
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212 typename OverlapsPolicy,
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213 typename VisitBoxPolicy
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214 >
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215 class partition_two_collections
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216 {
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217 typedef std::vector<std::size_t> index_vector_type;
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218 typedef typename coordinate_type<Box>::type ctype;
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219 typedef partition_two_collections
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220 <
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221 1 - Dimension,
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222 Box,
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223 OverlapsPolicy,
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224 VisitBoxPolicy
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225 > sub_divide;
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226
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227 template <typename InputCollection, typename Policy>
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228 static inline void next_level(Box const& box,
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229 InputCollection const& collection1,
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230 index_vector_type const& input1,
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231 InputCollection const& collection2,
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232 index_vector_type const& input2,
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233 int level, std::size_t min_elements,
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234 Policy& policy, VisitBoxPolicy& box_policy)
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235 {
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236 if (boost::size(input1) > 0 && boost::size(input2) > 0)
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237 {
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238 if (std::size_t(boost::size(input1)) > min_elements
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239 && std::size_t(boost::size(input2)) > min_elements
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240 && level < 100)
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241 {
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242 sub_divide::apply(box, collection1, input1, collection2,
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243 input2, level + 1, min_elements,
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244 policy, box_policy);
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245 }
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246 else
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247 {
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248 box_policy.apply(box, level + 1);
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249 handle_two(collection1, input1, collection2, input2, policy);
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250 }
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251 }
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252 }
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253
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254 public :
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255 template <typename InputCollection, typename Policy>
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256 static inline void apply(Box const& box,
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257 InputCollection const& collection1, index_vector_type const& input1,
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258 InputCollection const& collection2, index_vector_type const& input2,
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259 int level,
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260 std::size_t min_elements,
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261 Policy& policy, VisitBoxPolicy& box_policy)
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262 {
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263 box_policy.apply(box, level);
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264
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265 Box lower_box, upper_box;
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266 divide_box<Dimension>(box, lower_box, upper_box);
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267
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268 index_vector_type lower1, upper1, exceeding1;
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269 index_vector_type lower2, upper2, exceeding2;
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270 divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection1,
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271 input1, lower1, upper1, exceeding1);
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272 divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection2,
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273 input2, lower2, upper2, exceeding2);
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274
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275 if (boost::size(exceeding1) > 0)
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276 {
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277 // All exceeding from 1 with 2:
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278 handle_two(collection1, exceeding1, collection2, exceeding2,
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279 policy);
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280
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281 // All exceeding from 1 with lower and upper of 2:
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282 handle_two(collection1, exceeding1, collection2, lower2, policy);
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283 handle_two(collection1, exceeding1, collection2, upper2, policy);
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284 }
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285 if (boost::size(exceeding2) > 0)
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286 {
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287 // All exceeding from 2 with lower and upper of 1:
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288 handle_two(collection1, lower1, collection2, exceeding2, policy);
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289 handle_two(collection1, upper1, collection2, exceeding2, policy);
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290 }
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291
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292 next_level(lower_box, collection1, lower1, collection2, lower2, level,
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293 min_elements, policy, box_policy);
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294 next_level(upper_box, collection1, upper1, collection2, upper2, level,
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295 min_elements, policy, box_policy);
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296 }
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297 };
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298
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299 }} // namespace detail::partition
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300
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301 struct visit_no_policy
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302 {
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303 template <typename Box>
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304 static inline void apply(Box const&, int )
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305 {}
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306 };
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307
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308 template
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309 <
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310 typename Box,
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311 typename ExpandPolicy,
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312 typename OverlapsPolicy,
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313 typename VisitBoxPolicy = visit_no_policy
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314 >
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315 class partition
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316 {
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317 typedef std::vector<std::size_t> index_vector_type;
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318
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319 template <typename InputCollection>
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320 static inline void expand_to_collection(InputCollection const& collection,
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321 Box& total, index_vector_type& index_vector)
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322 {
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323 std::size_t index = 0;
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324 for(typename boost::range_iterator<InputCollection const>::type it
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325 = boost::begin(collection);
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326 it != boost::end(collection);
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327 ++it, ++index)
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328 {
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329 ExpandPolicy::apply(total, *it);
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330 index_vector.push_back(index);
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331 }
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332 }
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333
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334 public :
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335 template <typename InputCollection, typename VisitPolicy>
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336 static inline void apply(InputCollection const& collection,
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337 VisitPolicy& visitor,
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338 std::size_t min_elements = 16,
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339 VisitBoxPolicy box_visitor = visit_no_policy()
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340 )
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341 {
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342 if (std::size_t(boost::size(collection)) > min_elements)
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343 {
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344 index_vector_type index_vector;
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345 Box total;
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346 assign_inverse(total);
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347 expand_to_collection(collection, total, index_vector);
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348
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349 detail::partition::partition_one_collection
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350 <
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351 0, Box,
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352 OverlapsPolicy,
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353 VisitBoxPolicy
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354 >::apply(total, collection, index_vector, 0, min_elements,
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355 visitor, box_visitor);
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356 }
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357 else
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358 {
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359 typedef typename boost::range_iterator
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360 <
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361 InputCollection const
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362 >::type iterator_type;
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363 for(iterator_type it1 = boost::begin(collection);
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364 it1 != boost::end(collection);
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365 ++it1)
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366 {
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367 iterator_type it2 = it1;
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368 for(++it2; it2 != boost::end(collection); ++it2)
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369 {
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370 visitor.apply(*it1, *it2);
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371 }
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372 }
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373 }
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374 }
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375
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376 template <typename InputCollection, typename VisitPolicy>
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377 static inline void apply(InputCollection const& collection1,
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378 InputCollection const& collection2,
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379 VisitPolicy& visitor,
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380 std::size_t min_elements = 16,
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381 VisitBoxPolicy box_visitor = visit_no_policy()
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382 )
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383 {
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384 if (std::size_t(boost::size(collection1)) > min_elements
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385 && std::size_t(boost::size(collection2)) > min_elements)
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386 {
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387 index_vector_type index_vector1, index_vector2;
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388 Box total;
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389 assign_inverse(total);
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390 expand_to_collection(collection1, total, index_vector1);
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391 expand_to_collection(collection2, total, index_vector2);
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392
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393 detail::partition::partition_two_collections
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394 <
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395 0, Box, OverlapsPolicy, VisitBoxPolicy
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396 >::apply(total,
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397 collection1, index_vector1,
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398 collection2, index_vector2,
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399 0, min_elements, visitor, box_visitor);
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400 }
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401 else
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402 {
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403 typedef typename boost::range_iterator
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404 <
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405 InputCollection const
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406 >::type iterator_type;
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407 for(iterator_type it1 = boost::begin(collection1);
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408 it1 != boost::end(collection1);
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409 ++it1)
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410 {
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411 for(iterator_type it2 = boost::begin(collection2);
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412 it2 != boost::end(collection2);
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413 ++it2)
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414 {
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415 visitor.apply(*it1, *it2);
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416 }
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417 }
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418 }
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419 }
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420
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421 };
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422
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423 }} // namespace boost::geometry
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424
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425 #endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
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