Mercurial > gemma
annotate pkg/octree/strtree.go @ 4591:f456ce0a6a0e
STRTree: Made number of entries per node a parameter.
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Wed, 09 Oct 2019 11:40:11 +0200 |
parents | 114979e97a6c |
children | 680f1d8802f0 |
rev | line source |
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1 // This is Free Software under GNU Affero General Public License v >= 3.0 |
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2 // without warranty, see README.md and license for details. |
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3 // |
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4 // SPDX-License-Identifier: AGPL-3.0-or-later |
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5 // License-Filename: LICENSES/AGPL-3.0.txt |
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6 // |
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7 // Copyright (C) 2018 by via donau |
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8 // – Österreichische Wasserstraßen-Gesellschaft mbH |
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9 // Software engineering by Intevation GmbH |
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10 // |
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11 // Author(s): |
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12 // * Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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13 |
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14 package octree |
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15 |
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16 import ( |
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17 "math" |
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18 "sort" |
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19 ) |
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20 |
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21 const STRTreeDefaultEntries = 8 |
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22 |
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23 type STRTree struct { |
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24 Entries int |
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25 tin *Tin |
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26 index []int32 |
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27 bboxes []Box2D |
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28 } |
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29 |
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30 func (s *STRTree) Build(t *Tin) { |
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31 |
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32 if s.Entries == 0 { |
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33 s.Entries = STRTreeDefaultEntries |
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34 } |
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35 |
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36 s.tin = t |
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37 |
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38 all := make([]int32, len(t.Triangles)) |
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39 |
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40 for i := range all { |
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41 all[i] = int32(i) |
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42 } |
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43 |
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44 s.index = append(s.index, 0) |
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45 |
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46 root := s.build(all) |
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47 |
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48 s.index[0] = root |
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49 } |
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50 |
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51 func (s *STRTree) Clip(p *Polygon) map[int32]struct{} { |
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52 |
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53 removed := make(map[int32]struct{}) |
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54 |
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55 stack := []int32{s.index[0]} |
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56 |
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57 vertices := s.tin.Vertices |
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58 |
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59 for len(stack) > 0 { |
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60 top := stack[len(stack)-1] |
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61 stack = stack[:len(stack)-1] |
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62 |
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63 if top > 0 { // node |
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64 switch p.IntersectionBox2D(s.bbox(top)) { |
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65 case IntersectionInside: |
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66 // all triangles are inside polygon |
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67 case IntersectionOutSide: |
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68 // all triangles are outside polygon |
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69 s.allTriangles(top, removed) |
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70 default: |
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71 // mixed bag |
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72 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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73 stack = append(stack, s.index[top+2+i]) |
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74 } |
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75 } |
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76 } else { // leaf |
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77 top = -top - 1 |
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78 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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79 idx := s.index[top+2+i] |
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80 ti := s.tin.Triangles[idx] |
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81 t := Triangle{ |
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82 vertices[ti[0]], |
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83 vertices[ti[1]], |
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84 vertices[ti[2]], |
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85 } |
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86 if p.IntersectionWithTriangle(&t) != IntersectionInside { |
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87 removed[idx] = struct{}{} |
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88 } |
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89 } |
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90 } |
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91 } |
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92 |
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93 return removed |
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94 } |
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95 |
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96 func (s *STRTree) allTriangles(pos int32, tris map[int32]struct{}) { |
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97 stack := []int32{pos} |
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98 for len(stack) > 0 { |
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99 top := stack[len(stack)-1] |
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100 stack = stack[:len(stack)-1] |
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101 if top > 0 { // node |
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102 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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103 stack = append(stack, s.index[top+2+i]) |
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104 } |
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105 } else { // leaf |
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106 top = -top - 1 |
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107 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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108 tris[s.index[top+2+i]] = struct{}{} |
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109 } |
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110 } |
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111 } |
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112 } |
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113 |
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114 func (s *STRTree) build(items []int32) int32 { |
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115 sort.Slice(items, func(i, j int) bool { |
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116 ti := s.tin.Triangles[items[i]] |
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117 tj := s.tin.Triangles[items[j]] |
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118 return s.tin.Vertices[ti[0]].X < s.tin.Vertices[tj[0]].X |
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119 }) |
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120 |
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121 P := int(math.Ceil(float64(len(items)) / float64(s.Entries))) |
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122 S := int(math.Ceil(math.Sqrt(float64(P)))) |
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123 |
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124 slices := s.strSplit(items, S) |
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125 |
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126 leaves := s.strJoin( |
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127 slices, S, |
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128 func(i, j int32) bool { |
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129 ti := s.tin.Triangles[i] |
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130 tj := s.tin.Triangles[j] |
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131 return s.tin.Vertices[ti[0]].Y < s.tin.Vertices[tj[0]].Y |
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132 }, |
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133 s.allocLeaf, |
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134 ) |
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135 |
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136 return s.buildNodes(leaves) |
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137 } |
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138 |
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139 func (s *STRTree) buildNodes(items []int32) int32 { |
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140 |
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141 if len(items) <= s.Entries { |
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142 return s.allocNode(items) |
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143 } |
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144 |
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145 sort.Slice(items, func(i, j int) bool { |
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146 return s.bbox(items[i]).X1 < s.bbox(items[j]).X1 |
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147 }) |
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148 |
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149 P := int(math.Ceil(float64(len(items)) / float64(s.Entries))) |
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150 S := int(math.Ceil(math.Sqrt(float64(P)))) |
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151 |
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152 slices := s.strSplit(items, S) |
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153 |
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154 nodes := s.strJoin( |
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155 slices, S, |
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156 func(i, j int32) bool { return s.bbox(i).Y1 < s.bbox(j).Y1 }, |
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157 s.allocNode, |
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158 ) |
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159 |
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160 return s.buildNodes(nodes) |
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161 } |
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162 |
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163 func (s *STRTree) bbox(idx int32) Box2D { |
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164 if idx < 0 { // Don't care if leaf or node. |
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165 idx = -idx - 1 |
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166 } |
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167 return s.bboxes[s.index[idx]] |
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168 } |
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169 |
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170 func (s *STRTree) strSplit(items []int32, S int) [][]int32 { |
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171 sm := S * s.Entries |
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172 slices := make([][]int32, S) |
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173 for i := range slices { |
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174 var n int |
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175 if l := len(items); l < sm { |
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176 n = l |
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177 } else { |
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178 n = sm |
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179 } |
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180 slices[i] = items[:n] |
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181 items = items[n:] |
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182 } |
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183 return slices |
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184 } |
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185 |
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186 func (s *STRTree) strJoin( |
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187 slices [][]int32, S int, |
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188 less func(int32, int32) bool, |
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189 alloc func([]int32) int32, |
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190 ) []int32 { |
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191 nodes := make([]int32, 0, S*S) |
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192 |
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193 for _, slice := range slices { |
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194 sort.Slice(slice, func(i, j int) bool { |
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195 return less(slice[i], slice[j]) |
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196 }) |
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197 |
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198 for len(slice) > 0 { |
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199 var n int |
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200 if l := len(slice); l >= s.Entries { |
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201 n = s.Entries |
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202 } else { |
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203 n = l |
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204 } |
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205 nodes = append(nodes, alloc(slice[:n])) |
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206 slice = slice[n:] |
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207 } |
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208 } |
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209 return nodes |
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210 } |
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211 |
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212 func (s *STRTree) allocNode(items []int32) int32 { |
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213 pos := len(s.index) |
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214 s.index = append(s.index, 0, int32(len(items))) |
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215 s.index = append(s.index, items...) |
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216 if len(items) > 0 { |
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217 box := s.bbox(items[0]) |
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218 for i := 1; i < len(items); i++ { |
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219 box = box.Union(s.bbox(items[i])) |
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220 } |
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221 s.index[pos] = int32(s.allocBBox(box)) |
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222 } |
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223 return int32(pos) |
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224 } |
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225 |
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226 func (s *STRTree) allocBBox(box Box2D) int { |
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227 pos := len(s.bboxes) |
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228 s.bboxes = append(s.bboxes, box) |
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229 return pos |
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230 } |
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231 |
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232 func (s *STRTree) allocLeaf(items []int32) int32 { |
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233 pos := len(s.index) |
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234 s.index = append(s.index, 0, int32(len(items))) |
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235 s.index = append(s.index, items...) |
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236 if len(items) > 0 { |
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237 vertices := s.tin.Vertices |
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238 ti := s.tin.Triangles[items[0]] |
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239 t := Triangle{ |
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240 vertices[ti[0]], |
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241 vertices[ti[1]], |
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242 vertices[ti[2]], |
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243 } |
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244 box := t.BBox() |
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245 for i := 1; i < len(items); i++ { |
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246 it := items[i] |
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247 ti := s.tin.Triangles[it] |
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248 t := Triangle{ |
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249 vertices[ti[0]], |
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250 vertices[ti[1]], |
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251 vertices[ti[2]], |
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252 } |
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253 box = box.Union(t.BBox()) |
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254 } |
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255 s.index[pos] = int32(s.allocBBox(box)) |
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256 } |
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257 return int32(-(pos + 1)) |
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258 } |