annotate pkg/octree/tree.go @ 2465:86c7a023400e octree-diff

Started experimental octree diff branch.
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Mon, 25 Feb 2019 17:02:33 +0100
parents fe1aa62195c2
children a1e751c08c56
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
1017
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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
727
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14 package octree
707
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15
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16 import (
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17 "math"
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18 )
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19
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20 // Tree is an Octree holding triangles.
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21 type Tree struct {
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22 // EPSG is the projection.
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23 EPSG uint32
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24
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25 vertices []Vertex
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26 triangles [][]int32
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27 index []int32
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28
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29 // Min is the lower left corner of the bbox.
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30 Min Vertex
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31 // Max is the upper right corner of the bbox.
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32 Max Vertex
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33 }
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34
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35 var scale = [4][4]float64{
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36 {0.0, 0.0, 0.5, 0.5},
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37 {0.5, 0.0, 1.0, 0.5},
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38 {0.0, 0.5, 0.5, 1.0},
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39 {0.5, 0.5, 1.0, 1.0},
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40 }
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41
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42 // Vertical does a vertical cross cut from (x1, y1) to (x2, y2).
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43 func (ot *Tree) Vertical(x1, y1, x2, y2 float64, fn func(*Triangle)) {
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44
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45 box := Box2D{
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46 X1: math.Min(x1, x2),
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47 Y1: math.Min(y1, y2),
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48 X2: math.Max(x1, x2),
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49 Y2: math.Max(y1, y2),
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50 }
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51
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52 // out of bounding box
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53 if box.X2 < ot.Min.X || ot.Max.X < box.X1 ||
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54 box.Y2 < ot.Min.Y || ot.Max.Y < box.Y1 {
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55 return
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56 }
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57
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58 line := NewPlane2D(x1, y1, x2, y2)
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59
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60 type frame struct {
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61 pos int32
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62 Box2D
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63 }
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64
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65 dupes := map[int32]struct{}{}
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66
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67 all := Box2D{ot.Min.X, ot.Min.Y, ot.Max.X, ot.Max.Y}
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68 //log.Printf("area: %f\n", (box.x2-box.x1)*(box.y2-box.y1))
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69 //log.Printf("all: %f\n", (all.x2-all.x1)*(all.y2-all.y1))
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70
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71 stack := []frame{{1, all}}
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72
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73 for len(stack) > 0 {
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74 top := stack[len(stack)-1]
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75 stack = stack[:len(stack)-1]
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76
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77 if top.pos > 0 { // node
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78 if index := ot.index[top.pos:]; len(index) > 7 {
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79 for i := 0; i < 4; i++ {
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80 a := index[i]
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81 b := index[i+4]
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82 if a == 0 && b == 0 {
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83 continue
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84 }
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85 dx := top.X2 - top.X1
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86 dy := top.Y2 - top.Y1
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87 nbox := Box2D{
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88 dx*scale[i][0] + top.X1,
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89 dy*scale[i][1] + top.Y1,
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90 dx*scale[i][2] + top.X1,
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91 dy*scale[i][3] + top.Y1,
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92 }
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93 if nbox.Intersects(box) && nbox.IntersectsPlane(line) {
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94 if a != 0 {
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95 stack = append(stack, frame{a, nbox})
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96 }
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97 if b != 0 {
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98 stack = append(stack, frame{b, nbox})
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99 }
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100 }
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101 }
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102 }
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103 } else { // leaf
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104 pos := -top.pos - 1
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105 n := ot.index[pos]
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106 indices := ot.index[pos+1 : pos+1+n]
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107
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108 for _, idx := range indices {
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109 if _, found := dupes[idx]; found {
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110 continue
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111 }
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112 tri := ot.triangles[idx]
5e14000829d1 Complete vertical octree traversal. Seems not very selective.
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diff changeset
113 t := Triangle{
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parents: 755
diff changeset
114 ot.vertices[tri[0]],
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parents: 755
diff changeset
115 ot.vertices[tri[1]],
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diff changeset
116 ot.vertices[tri[2]],
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diff changeset
117 }
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parents: 755
diff changeset
118
774
c55771b7c502 Moved Box2D and Plane2D into vertex.go and made to API public.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 761
diff changeset
119 v0 := line.Eval(t[0].X, t[0].Y)
c55771b7c502 Moved Box2D and Plane2D into vertex.go and made to API public.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 761
diff changeset
120 v1 := line.Eval(t[1].X, t[1].Y)
c55771b7c502 Moved Box2D and Plane2D into vertex.go and made to API public.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 761
diff changeset
121 v2 := line.Eval(t[2].X, t[2].Y)
756
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parents: 755
diff changeset
122
787
3d927e06b92c Triangle intersection. WIP. Currently interpolation is messed up.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 778
diff changeset
123 if onPlane(v0) || onPlane(v1) || onPlane(v2) ||
759
46fe2ae761e8 Check bounding boxes against plane, too. WIP
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 758
diff changeset
124 sides(sides(sides(0, v0), v1), v2) == 3 {
756
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parents: 755
diff changeset
125 fn(&t)
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 755
diff changeset
126 }
758
0f3ba8bfa641 Simplified vertical traversal of octree.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 757
diff changeset
127 dupes[idx] = struct{}{}
756
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parents: 755
diff changeset
128 }
755
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 728
diff changeset
129 }
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
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parents: 728
diff changeset
130 }
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 728
diff changeset
131 }
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 728
diff changeset
132
1692
f4dcbe8941a1 Octree: Resolved the remaing golint issues with this package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 1017
diff changeset
133 // Horizontal does a horizontal cross cut.
727
41c8dc61f38f Moved octree loading stuff to octree package.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 726
diff changeset
134 func (ot *Tree) Horizontal(h float64, fn func(*Triangle)) {
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
135
755
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 728
diff changeset
136 if h < ot.Min.Z || ot.Max.Z < h {
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 728
diff changeset
137 return
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
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parents: 728
diff changeset
138 }
1a1a8b5f2d02 Vertical traversal of octree for cross sections. WIP.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 728
diff changeset
139
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
140 type frame struct {
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
141 pos int32
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
142 min float64
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
143 max float64
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
144 }
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
145
756
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 755
diff changeset
146 dupes := map[int32]struct{}{}
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
147
756
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 755
diff changeset
148 stack := []frame{{1, ot.Min.Z, ot.Max.Z}}
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
149
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
150 for len(stack) > 0 {
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
151 top := stack[len(stack)-1]
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
152 stack = stack[:len(stack)-1]
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
153
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
154 pos := top.pos
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
155 if pos == 0 {
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
156 continue
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
157 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
158 min, max := top.min, top.max
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
159
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
160 if pos > 0 { // node
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
161 if mid := (max-min)*0.5 + min; h >= mid {
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
162 pos += 4 // nodes with z-bit set
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
163 min = mid
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
164 } else {
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
165 max = mid
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
166 }
1790
fe1aa62195c2 Octree: Same emtry tree fix for horizontal as for vertical traversal. Re-worked both to be BCE friendly.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 1788
diff changeset
167 if index := ot.index[pos:]; len(index) > 3 {
1788
00f34a00e6d5 Octree: Don't crash in horizontal traversal if the tree is empty.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 1692
diff changeset
168 stack = append(stack,
1790
fe1aa62195c2 Octree: Same emtry tree fix for horizontal as for vertical traversal. Re-worked both to be BCE friendly.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 1788
diff changeset
169 frame{index[0], min, max},
fe1aa62195c2 Octree: Same emtry tree fix for horizontal as for vertical traversal. Re-worked both to be BCE friendly.
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parents: 1788
diff changeset
170 frame{index[1], min, max},
fe1aa62195c2 Octree: Same emtry tree fix for horizontal as for vertical traversal. Re-worked both to be BCE friendly.
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parents: 1788
diff changeset
171 frame{index[2], min, max},
fe1aa62195c2 Octree: Same emtry tree fix for horizontal as for vertical traversal. Re-worked both to be BCE friendly.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 1788
diff changeset
172 frame{index[3], min, max})
1788
00f34a00e6d5 Octree: Don't crash in horizontal traversal if the tree is empty.
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parents: 1692
diff changeset
173 }
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
174 } else { // leaf
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
175 pos = -pos - 1
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
176 n := ot.index[pos]
9db4ae29ded9 octree: Moved octree traveral code to own file.
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parents:
diff changeset
177 //log.Printf("%d %d %d\n", pos, n, len(ot.index))
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
178 indices := ot.index[pos+1 : pos+1+n]
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
179
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
180 for _, idx := range indices {
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
181 if _, found := dupes[idx]; found {
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
182 continue
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
183 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
184 tri := ot.triangles[idx]
726
5af9ab39e715 Renamed a few types to uppercase names to prepare the move to the octree package.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 707
diff changeset
185 t := Triangle{
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
186 ot.vertices[tri[0]],
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
187 ot.vertices[tri[1]],
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
188 ot.vertices[tri[2]],
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
189 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
190
727
41c8dc61f38f Moved octree loading stuff to octree package.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 726
diff changeset
191 if !(math.Min(t[0].Z, math.Min(t[1].Z, t[2].Z)) > h ||
41c8dc61f38f Moved octree loading stuff to octree package.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 726
diff changeset
192 math.Max(t[0].Z, math.Max(t[1].Z, t[2].Z)) < h) {
707
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
193 dupes[idx] = struct{}{}
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
194 fn(&t)
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
195 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
196 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
197 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
198 }
9db4ae29ded9 octree: Moved octree traveral code to own file.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
199 }