annotate pkg/octree/strtree.go @ 4645:946689a56fc2

Forgot a bbox check when evaluating STRTree speeding it significantly.
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Sun, 13 Oct 2019 16:01:06 +0200
parents a1a9b1eab57c
children 18331577a251
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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) Value(x, y float64) (float64, bool) {
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31
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32 stack := []int32{s.index[0]}
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33
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34 vertices := s.tin.Vertices
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35
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36 for len(stack) > 0 {
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37 top := stack[len(stack)-1]
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38 stack = stack[:len(stack)-1]
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39
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40 if top > 0 { // node
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41 if s.bbox(top).Contains(x, y) {
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42 n := s.index[top+1]
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43 stack = append(stack, s.index[top+2:top+2+n]...)
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44 }
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45 } else { // leaf
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46 top = -top - 1
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47 if !s.bbox(top).Contains(x, y) {
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48 continue
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49 }
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50 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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51 idx := s.index[top+2+i]
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52 ti := s.tin.Triangles[idx]
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53 t := Triangle{
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54 vertices[ti[0]],
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55 vertices[ti[1]],
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56 vertices[ti[2]],
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57 }
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58 if t.Contains(x, y) {
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59 return t.Plane3D().Z(x, y), true
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60 }
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61 }
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62 }
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63 }
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64 return 0, false
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65 }
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66
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67 func (s *STRTree) Build(t *Tin) {
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68
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69 if s.Entries == 0 {
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70 s.Entries = STRTreeDefaultEntries
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71 }
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72
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73 s.tin = t
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74
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75 all := make([]int32, len(t.Triangles))
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76
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77 for i := range all {
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78 all[i] = int32(i)
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79 }
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80
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81 s.index = append(s.index, 0)
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82
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83 root := s.build(all)
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84
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85 s.index[0] = root
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86 }
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87
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88 func (s *STRTree) BuildWithout(t *Tin, remove map[int32]struct{}) {
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89
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90 if s.Entries == 0 {
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91 s.Entries = STRTreeDefaultEntries
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92 }
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93
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94 s.tin = t
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95
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96 all := make([]int32, 0, len(t.Triangles)-len(remove))
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97
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98 for i := 0; i < len(t.Triangles); i++ {
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99 idx := int32(i)
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100 if _, found := remove[idx]; !found {
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101 all = append(all, idx)
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102 }
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103 }
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104
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105 s.index = append(s.index, 0)
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106
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107 root := s.build(all)
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108
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109 s.index[0] = root
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110 }
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111
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112 func (s *STRTree) Clip(p *Polygon) map[int32]struct{} {
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113
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114 removed := make(map[int32]struct{})
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115
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116 stack := []int32{s.index[0]}
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117
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118 vertices := s.tin.Vertices
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119
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120 for len(stack) > 0 {
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diff changeset
121 top := stack[len(stack)-1]
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122 stack = stack[:len(stack)-1]
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diff changeset
123
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diff changeset
124 if top > 0 { // node
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parents: 2515
diff changeset
125 switch p.IntersectionBox2D(s.bbox(top)) {
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diff changeset
126 case IntersectionInside:
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127 // all triangles are inside polygon
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diff changeset
128 case IntersectionOutSide:
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129 // all triangles are outside polygon
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130 s.allTriangles(top, removed)
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diff changeset
131 default:
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132 // mixed bag
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133 n := s.index[top+1]
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diff changeset
134 stack = append(stack, s.index[top+2:top+2+n]...)
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135 }
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136 } else { // leaf
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137 top = -top - 1
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parents: 2515
diff changeset
138 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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diff changeset
139 idx := s.index[top+2+i]
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diff changeset
140 ti := s.tin.Triangles[idx]
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141 t := Triangle{
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142 vertices[ti[0]],
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143 vertices[ti[1]],
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diff changeset
144 vertices[ti[2]],
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145 }
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diff changeset
146 if p.IntersectionWithTriangle(&t) != IntersectionInside {
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147 removed[idx] = struct{}{}
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148 }
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149 }
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150 }
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151 }
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152
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153 return removed
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154 }
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155
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diff changeset
156 func (s *STRTree) allTriangles(pos int32, tris map[int32]struct{}) {
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157 stack := []int32{pos}
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diff changeset
158 for len(stack) > 0 {
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parents: 2515
diff changeset
159 top := stack[len(stack)-1]
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diff changeset
160 stack = stack[:len(stack)-1]
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parents: 2515
diff changeset
161 if top > 0 { // node
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parents: 4642
diff changeset
162 n := s.index[top+1]
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parents: 4642
diff changeset
163 stack = append(stack, s.index[top+2:top+2+n]...)
2516
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diff changeset
164 } else { // leaf
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165 top = -top - 1
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parents: 2515
diff changeset
166 for i, n := int32(0), s.index[top+1]; i < n; i++ {
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diff changeset
167 tris[s.index[top+2+i]] = struct{}{}
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diff changeset
168 }
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parents: 2515
diff changeset
169 }
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diff changeset
170 }
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171 }
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172
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parents:
diff changeset
173 func (s *STRTree) build(items []int32) int32 {
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parents:
diff changeset
174 sort.Slice(items, func(i, j int) bool {
2516
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diff changeset
175 ti := s.tin.Triangles[items[i]]
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176 tj := s.tin.Triangles[items[j]]
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177 return s.tin.Vertices[ti[0]].X < s.tin.Vertices[tj[0]].X
2512
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parents:
diff changeset
178 })
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parents:
diff changeset
179
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f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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diff changeset
180 P := int(math.Ceil(float64(len(items)) / float64(s.Entries)))
2512
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parents:
diff changeset
181 S := int(math.Ceil(math.Sqrt(float64(P))))
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parents:
diff changeset
182
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f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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diff changeset
183 slices := s.strSplit(items, S)
2512
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
184
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parents: 2565
diff changeset
185 leaves := s.strJoin(
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diff changeset
186 slices, S,
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parents: 2564
diff changeset
187 func(i, j int32) bool {
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diff changeset
188 ti := s.tin.Triangles[i]
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diff changeset
189 tj := s.tin.Triangles[j]
2516
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diff changeset
190 return s.tin.Vertices[ti[0]].Y < s.tin.Vertices[tj[0]].Y
2565
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diff changeset
191 },
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parents: 2564
diff changeset
192 s.allocLeaf,
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parents: 2564
diff changeset
193 )
2512
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
194
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
195 return s.buildNodes(leaves)
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parents:
diff changeset
196 }
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
197
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
198 func (s *STRTree) buildNodes(items []int32) int32 {
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
199
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f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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parents: 2565
diff changeset
200 if len(items) <= s.Entries {
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
201 return s.allocNode(items)
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
202 }
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
203
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
204 sort.Slice(items, func(i, j int) bool {
2515
6bcaa8bf2603 STR tree: Fixed sorting. Stored num items per nodes. Simpified code.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2513
diff changeset
205 return s.bbox(items[i]).X1 < s.bbox(items[j]).X1
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
206 })
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
207
4591
f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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parents: 2565
diff changeset
208 P := int(math.Ceil(float64(len(items)) / float64(s.Entries)))
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
209 S := int(math.Ceil(math.Sqrt(float64(P))))
2768f74d54ab Added an STRTree for the triangulation. Should be better suited for filtering out the clipped triangles.
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parents:
diff changeset
210
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f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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parents: 2565
diff changeset
211 slices := s.strSplit(items, S)
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
212
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f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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parents: 2565
diff changeset
213 nodes := s.strJoin(
2565
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parents: 2564
diff changeset
214 slices, S,
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parents: 2564
diff changeset
215 func(i, j int32) bool { return s.bbox(i).Y1 < s.bbox(j).Y1 },
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parents: 2564
diff changeset
216 s.allocNode,
114979e97a6c STR tree: More code simplification.
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parents: 2564
diff changeset
217 )
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parents: 2564
diff changeset
218
114979e97a6c STR tree: More code simplification.
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parents: 2564
diff changeset
219 return s.buildNodes(nodes)
114979e97a6c STR tree: More code simplification.
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parents: 2564
diff changeset
220 }
114979e97a6c STR tree: More code simplification.
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parents: 2564
diff changeset
221
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parents: 2564
diff changeset
222 func (s *STRTree) bbox(idx int32) Box2D {
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parents: 2564
diff changeset
223 if idx < 0 { // Don't care if leaf or node.
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parents: 2564
diff changeset
224 idx = -idx - 1
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2564
diff changeset
225 }
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parents: 2564
diff changeset
226 return s.bboxes[s.index[idx]]
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parents: 2564
diff changeset
227 }
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parents: 2564
diff changeset
228
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parents: 2565
diff changeset
229 func (s *STRTree) strSplit(items []int32, S int) [][]int32 {
f456ce0a6a0e STRTree: Made number of entries per node a parameter.
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parents: 2565
diff changeset
230 sm := S * s.Entries
2565
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parents: 2564
diff changeset
231 slices := make([][]int32, S)
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parents: 2564
diff changeset
232 for i := range slices {
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2564
diff changeset
233 var n int
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parents: 2564
diff changeset
234 if l := len(items); l < sm {
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parents: 2564
diff changeset
235 n = l
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parents: 2564
diff changeset
236 } else {
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parents: 2564
diff changeset
237 n = sm
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parents: 2564
diff changeset
238 }
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parents: 2564
diff changeset
239 slices[i] = items[:n]
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parents: 2564
diff changeset
240 items = items[n:]
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parents: 2564
diff changeset
241 }
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242 return slices
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243 }
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244
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245 func (s *STRTree) strJoin(
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246 slices [][]int32, S int,
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247 less func(int32, int32) bool,
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248 alloc func([]int32) int32,
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249 ) []int32 {
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250 nodes := make([]int32, 0, S*S)
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251
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252 for _, slice := range slices {
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253 sort.Slice(slice, func(i, j int) bool {
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254 return less(slice[i], slice[j])
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255 })
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256
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257 for len(slice) > 0 {
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258 var n int
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259 if l := len(slice); l >= s.Entries {
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260 n = s.Entries
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261 } else {
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262 n = l
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263 }
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264 nodes = append(nodes, alloc(slice[:n]))
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265 slice = slice[n:]
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266 }
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267 }
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268 return nodes
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269 }
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270
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271 func (s *STRTree) allocNode(items []int32) int32 {
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272 pos := len(s.index)
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273 s.index = append(s.index, 0, int32(len(items)))
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274 s.index = append(s.index, items...)
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275 if len(items) > 0 {
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276 box := s.bbox(items[0])
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277 for i := 1; i < len(items); i++ {
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278 box = box.Union(s.bbox(items[i]))
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279 }
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280 s.index[pos] = int32(s.allocBBox(box))
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281 }
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282 return int32(pos)
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283 }
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284
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285 func (s *STRTree) allocBBox(box Box2D) int {
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286 pos := len(s.bboxes)
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287 s.bboxes = append(s.bboxes, box)
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288 return pos
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289 }
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290
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291 func (s *STRTree) allocLeaf(items []int32) int32 {
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292 pos := len(s.index)
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293 s.index = append(s.index, 0, int32(len(items)))
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294 s.index = append(s.index, items...)
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295 if len(items) > 0 {
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296 vertices := s.tin.Vertices
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297 ti := s.tin.Triangles[items[0]]
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298 t := Triangle{
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299 vertices[ti[0]],
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300 vertices[ti[1]],
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301 vertices[ti[2]],
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302 }
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303 box := t.BBox()
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304 for i := 1; i < len(items); i++ {
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305 it := items[i]
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306 ti := s.tin.Triangles[it]
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307 t := Triangle{
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308 vertices[ti[0]],
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309 vertices[ti[1]],
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310 vertices[ti[2]],
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311 }
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312 box = box.Union(t.BBox())
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313 }
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314 s.index[pos] = int32(s.allocBBox(box))
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315 }
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316 return int32(-(pos + 1))
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317 }