Mercurial > gemma
annotate pkg/octree/strtree.go @ 3534:034657d6604f waterlevel-in-crossprofile
client: fairway profiles: improved legend
author | Markus Kottlaender <markus@intevation.de> |
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date | Wed, 29 May 2019 18:20:53 +0200 |
parents | 114979e97a6c |
children | f456ce0a6a0e |
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 numEntries = 8 |
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22 |
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23 type STRTree struct { |
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24 tin *Tin |
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25 index []int32 |
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26 bboxes []Box2D |
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27 } |
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28 |
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29 func (s *STRTree) Build(t *Tin) { |
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30 |
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31 s.tin = t |
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32 |
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33 all := make([]int32, len(t.Triangles)) |
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34 |
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35 for i := range all { |
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36 all[i] = int32(i) |
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37 } |
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38 |
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39 s.index = append(s.index, 0) |
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40 |
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41 root := s.build(all) |
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42 |
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43 s.index[0] = root |
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44 } |
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45 |
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46 func (s *STRTree) Clip(p *Polygon) map[int32]struct{} { |
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47 |
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48 removed := make(map[int32]struct{}) |
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49 |
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50 stack := []int32{s.index[0]} |
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51 |
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52 vertices := s.tin.Vertices |
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53 |
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54 for len(stack) > 0 { |
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55 top := stack[len(stack)-1] |
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56 stack = stack[:len(stack)-1] |
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57 |
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58 if top > 0 { // node |
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59 switch p.IntersectionBox2D(s.bbox(top)) { |
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60 case IntersectionInside: |
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61 // all triangles are inside polygon |
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62 case IntersectionOutSide: |
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63 // all triangles are outside polygon |
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64 s.allTriangles(top, removed) |
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65 default: |
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66 // mixed bag |
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67 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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68 stack = append(stack, s.index[top+2+i]) |
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69 } |
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70 } |
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71 } else { // leaf |
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72 top = -top - 1 |
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73 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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74 idx := s.index[top+2+i] |
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75 ti := s.tin.Triangles[idx] |
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76 t := Triangle{ |
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77 vertices[ti[0]], |
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78 vertices[ti[1]], |
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79 vertices[ti[2]], |
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80 } |
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81 if p.IntersectionWithTriangle(&t) != IntersectionInside { |
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82 removed[idx] = struct{}{} |
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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 |
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88 return removed |
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89 } |
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90 |
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91 func (s *STRTree) allTriangles(pos int32, tris map[int32]struct{}) { |
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92 stack := []int32{pos} |
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93 for len(stack) > 0 { |
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94 top := stack[len(stack)-1] |
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95 stack = stack[:len(stack)-1] |
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96 if top > 0 { // node |
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97 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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98 stack = append(stack, s.index[top+2+i]) |
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99 } |
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100 } else { // leaf |
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101 top = -top - 1 |
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102 for i, n := int32(0), s.index[top+1]; i < n; i++ { |
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103 tris[s.index[top+2+i]] = struct{}{} |
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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 |
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109 func (s *STRTree) build(items []int32) int32 { |
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110 sort.Slice(items, func(i, j int) bool { |
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111 ti := s.tin.Triangles[items[i]] |
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112 tj := s.tin.Triangles[items[j]] |
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113 return s.tin.Vertices[ti[0]].X < s.tin.Vertices[tj[0]].X |
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114 }) |
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115 |
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116 P := int(math.Ceil(float64(len(items)) / float64(numEntries))) |
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117 S := int(math.Ceil(math.Sqrt(float64(P)))) |
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118 |
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119 slices := strSplit(items, S) |
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120 |
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121 leaves := strJoin( |
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122 slices, S, |
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123 func(i, j int32) bool { |
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124 ti := s.tin.Triangles[i] |
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125 tj := s.tin.Triangles[j] |
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126 return s.tin.Vertices[ti[0]].Y < s.tin.Vertices[tj[0]].Y |
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127 }, |
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128 s.allocLeaf, |
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129 ) |
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130 |
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131 return s.buildNodes(leaves) |
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132 } |
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133 |
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134 func (s *STRTree) buildNodes(items []int32) int32 { |
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135 |
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136 if len(items) <= numEntries { |
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137 return s.allocNode(items) |
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138 } |
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139 |
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140 sort.Slice(items, func(i, j int) bool { |
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141 return s.bbox(items[i]).X1 < s.bbox(items[j]).X1 |
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142 }) |
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143 |
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144 P := int(math.Ceil(float64(len(items)) / float64(numEntries))) |
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145 S := int(math.Ceil(math.Sqrt(float64(P)))) |
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146 |
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147 slices := strSplit(items, S) |
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148 |
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149 nodes := strJoin( |
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150 slices, S, |
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151 func(i, j int32) bool { return s.bbox(i).Y1 < s.bbox(j).Y1 }, |
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152 s.allocNode, |
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153 ) |
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154 |
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155 return s.buildNodes(nodes) |
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156 } |
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157 |
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158 func (s *STRTree) bbox(idx int32) Box2D { |
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159 if idx < 0 { // Don't care if leaf or node. |
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160 idx = -idx - 1 |
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161 } |
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162 return s.bboxes[s.index[idx]] |
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163 } |
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164 |
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165 func strSplit(items []int32, S int) [][]int32 { |
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166 sm := S * numEntries |
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167 slices := make([][]int32, S) |
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168 for i := range slices { |
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169 var n int |
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170 if l := len(items); l < sm { |
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171 n = l |
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172 } else { |
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173 n = sm |
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174 } |
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175 slices[i] = items[:n] |
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176 items = items[n:] |
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177 } |
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178 return slices |
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179 } |
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180 |
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181 func strJoin( |
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182 slices [][]int32, S int, |
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183 less func(int32, int32) bool, |
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184 alloc func([]int32) int32, |
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185 ) []int32 { |
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186 nodes := make([]int32, 0, S*S) |
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187 |
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188 for _, slice := range slices { |
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189 sort.Slice(slice, func(i, j int) bool { |
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190 return less(slice[i], slice[j]) |
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191 }) |
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192 |
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193 for len(slice) > 0 { |
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194 var n int |
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195 if l := len(slice); l >= numEntries { |
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196 n = numEntries |
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197 } else { |
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198 n = l |
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199 } |
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200 nodes = append(nodes, alloc(slice[:n])) |
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201 slice = slice[n:] |
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202 } |
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203 } |
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204 return nodes |
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205 } |
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206 |
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207 func (s *STRTree) allocNode(items []int32) int32 { |
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208 pos := len(s.index) |
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209 s.index = append(s.index, 0, int32(len(items))) |
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210 s.index = append(s.index, items...) |
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211 if len(items) > 0 { |
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212 box := s.bbox(items[0]) |
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213 for i := 1; i < len(items); i++ { |
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214 box = box.Union(s.bbox(items[i])) |
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215 } |
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216 s.index[pos] = int32(s.allocBBox(box)) |
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217 } |
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218 return int32(pos) |
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219 } |
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220 |
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221 func (s *STRTree) allocBBox(box Box2D) int { |
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222 pos := len(s.bboxes) |
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223 s.bboxes = append(s.bboxes, box) |
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224 return pos |
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225 } |
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226 |
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227 func (s *STRTree) allocLeaf(items []int32) int32 { |
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228 pos := len(s.index) |
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229 s.index = append(s.index, 0, int32(len(items))) |
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230 s.index = append(s.index, items...) |
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231 if len(items) > 0 { |
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232 vertices := s.tin.Vertices |
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233 ti := s.tin.Triangles[items[0]] |
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234 t := Triangle{ |
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235 vertices[ti[0]], |
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236 vertices[ti[1]], |
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237 vertices[ti[2]], |
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238 } |
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239 box := t.BBox() |
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240 for i := 1; i < len(items); i++ { |
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241 it := items[i] |
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242 ti := s.tin.Triangles[it] |
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243 t := Triangle{ |
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244 vertices[ti[0]], |
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245 vertices[ti[1]], |
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246 vertices[ti[2]], |
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247 } |
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248 box = box.Union(t.BBox()) |
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249 } |
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250 s.index[pos] = int32(s.allocBBox(box)) |
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251 } |
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252 return int32(-(pos + 1)) |
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253 } |