annotate pkg/octree/strtree.go @ 2516:1ec4c5633eb6 octree-diff

Clip STR tree and not Octree.
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Tue, 05 Mar 2019 17:08:16 +0100
parents 6bcaa8bf2603
children e26000628764
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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 for len(stack) > 0 {
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53 top := stack[len(stack)-1]
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54 stack = stack[:len(stack)-1]
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55
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56 if top > 0 { // node
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57 switch p.IntersectionBox2D(s.bbox(top)) {
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58 case IntersectionInside:
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59 // all triangles are inside polygon
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60 case IntersectionOutSide:
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61 // all triangles are outside polygon
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62 s.allTriangles(top, removed)
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63 default:
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64 // mixed bag
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65 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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66 stack = append(stack, s.index[top+2+i])
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67 }
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68 }
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69 } else { // leaf
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70 top = -top - 1
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71 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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72 removed[s.index[top+2+i]] = struct{}{}
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73 }
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74 }
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75 }
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76
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77 return removed
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78 }
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79
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80 func (s *STRTree) allTriangles(pos int32, tris map[int32]struct{}) {
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81 stack := []int32{pos}
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82 for len(stack) > 0 {
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83 top := stack[len(stack)-1]
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84 stack = stack[:len(stack)-1]
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85 if top > 0 { // node
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86 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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87 stack = append(stack, s.index[top+2+i])
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88 }
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89 } else { // leaf
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90 top = -top - 1
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91 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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92 tris[s.index[top+2+i]] = struct{}{}
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93 }
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94 }
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95 }
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96 }
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97
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98 func (s *STRTree) build(items []int32) int32 {
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99 sort.Slice(items, func(i, j int) bool {
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100 ti := s.tin.Triangles[items[i]]
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101 tj := s.tin.Triangles[items[j]]
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102 return s.tin.Vertices[ti[0]].X < s.tin.Vertices[tj[0]].X
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103 })
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104
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105 P := int(math.Ceil(float64(len(items)) / float64(numEntries)))
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106 S := int(math.Ceil(math.Sqrt(float64(P))))
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107
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108 sm := S * numEntries
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109
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110 slices := make([][]int32, S)
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111 rest := items
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112 for i := range slices {
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113 var n int
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114 if l := len(rest); l < sm {
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115 n = l
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116 } else {
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117 n = sm
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118 }
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119 slices[i] = rest[:n]
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120 rest = rest[n:]
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121 }
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122
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123 leaves := make([]int32, 0, S*S)
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124
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125 for _, slice := range slices {
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126 sort.Slice(slice, func(i, j int) bool {
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127 ti := s.tin.Triangles[slice[i]]
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128 tj := s.tin.Triangles[slice[j]]
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129 return s.tin.Vertices[ti[0]].Y < s.tin.Vertices[tj[0]].Y
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130 })
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131
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132 for len(slice) > 0 {
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133 n := numEntries
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134 if l := len(slice); l < numEntries {
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135 n = l
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136 }
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137 leaves = append(leaves, s.allocLeaf(slice[:n]))
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138 slice = slice[n:]
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139 }
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140 }
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141
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142 return s.buildNodes(leaves)
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143 }
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144
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145 func (s *STRTree) bbox(idx int32) Box2D {
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146 if idx < 0 { // Don't care if leaf or node.
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147 idx = -idx - 1
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148 }
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149 return s.bboxes[s.index[idx]]
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150 }
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151
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152 func (s *STRTree) buildNodes(items []int32) int32 {
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153
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154 if len(items) <= numEntries {
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155 return s.allocNode(items)
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156 }
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157
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158 sort.Slice(items, func(i, j int) bool {
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159 return s.bbox(items[i]).X1 < s.bbox(items[j]).X1
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160 })
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161
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162 P := int(math.Ceil(float64(len(items)) / float64(numEntries)))
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163 S := int(math.Ceil(math.Sqrt(float64(P))))
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164
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165 sm := S * numEntries
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166
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167 slices := make([][]int32, S)
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168
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169 rest := items
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170 for i := range slices {
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171 var n int
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172 if l := len(rest); l < sm {
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173 n = l
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174 } else {
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175 n = sm
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176 }
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177 slices[i] = rest[:n]
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178 rest = rest[n:]
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179 }
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180
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181 nodes := make([]int32, 0, S*S)
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182
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183 for _, slice := range slices {
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184 sort.Slice(slice, func(i, j int) bool {
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185 return s.bbox(slice[i]).Y1 < s.bbox(slice[j]).Y1
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186 })
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187
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188 for len(slice) > 0 {
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189 n := numEntries
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190 if l := len(slice); l < numEntries {
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191 n = l
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192 }
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193 nodes = append(nodes, s.allocNode(slice[:n]))
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194 slice = slice[n:]
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195 }
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196 }
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197
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198 return s.buildNodes(nodes)
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199 }
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200
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201 func (s *STRTree) allocNode(items []int32) int32 {
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202 pos := len(s.index)
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203 s.index = append(s.index, 0, int32(len(items)))
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204 s.index = append(s.index, items...)
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205 if len(items) > 0 {
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206 box := s.bbox(items[0])
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207 for i := 1; i < len(items); i++ {
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208 box = box.Union(s.bbox(items[i]))
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209 }
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diff changeset
210 s.index[pos] = int32(s.allocBBox(box))
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211 }
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diff changeset
212 return int32(pos)
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213 }
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214
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diff changeset
215 func (s *STRTree) allocBBox(box Box2D) int {
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diff changeset
216 pos := len(s.bboxes)
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diff changeset
217 s.bboxes = append(s.bboxes, box)
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218 return pos
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219 }
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220
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diff changeset
221 func (s *STRTree) allocLeaf(items []int32) int32 {
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diff changeset
222 pos := len(s.index)
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223 s.index = append(s.index, 0, int32(len(items)))
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diff changeset
224 s.index = append(s.index, items...)
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225 if len(items) > 0 {
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226 vertices := s.tin.Vertices
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227 ti := s.tin.Triangles[items[0]]
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228 t := Triangle{
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229 vertices[ti[0]],
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
230 vertices[ti[1]],
6bcaa8bf2603 STR tree: Fixed sorting. Stored num items per nodes. Simpified code.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
231 vertices[ti[2]],
2512
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
232 }
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
233 box := t.BBox()
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
234 for i := 1; i < len(items); i++ {
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
235 it := items[i]
2516
1ec4c5633eb6 Clip STR tree and not Octree.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2515
diff changeset
236 ti := s.tin.Triangles[it]
2512
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
237 t := Triangle{
2515
6bcaa8bf2603 STR tree: Fixed sorting. Stored num items per nodes. Simpified code.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
238 vertices[ti[0]],
6bcaa8bf2603 STR tree: Fixed sorting. Stored num items per nodes. Simpified code.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
239 vertices[ti[1]],
6bcaa8bf2603 STR tree: Fixed sorting. Stored num items per nodes. Simpified code.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
240 vertices[ti[2]],
2512
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
241 }
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
242 box = box.Union(t.BBox())
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
243 }
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
244 s.index[pos] = int32(s.allocBBox(box))
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
245 }
2515
6bcaa8bf2603 STR tree: Fixed sorting. Stored num items per nodes. Simpified code.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
246 return int32(-(pos + 1))
2512
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
247 }