Mercurial > gemma
annotate pkg/octree/tree.go @ 758:0f3ba8bfa641
Simplified vertical traversal of octree.
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Tue, 25 Sep 2018 04:38:40 +0200 |
parents | ef3dfe7037b3 |
children | 46fe2ae761e8 |
rev | line source |
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727
41c8dc61f38f
Moved octree loading stuff to octree package.
Sascha L. Teichmann <teichmann@intevation.de>
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1 package octree |
707
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octree: Moved octree traveral code to own file.
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2 |
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octree: Moved octree traveral code to own file.
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3 import ( |
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Complete vertical octree traversal. Seems not very selective.
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4 "log" |
707
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5 "math" |
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6 ) |
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octree: Moved octree traveral code to own file.
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7 |
727
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Moved octree loading stuff to octree package.
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8 type Tree struct { |
726
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Renamed a few types to uppercase names to prepare the move to the octree package.
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9 EPSG uint32 |
707
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10 |
726
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Renamed a few types to uppercase names to prepare the move to the octree package.
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11 vertices []Vertex |
707
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octree: Moved octree traveral code to own file.
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12 triangles [][]int32 |
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13 index []int32 |
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octree: Moved octree traveral code to own file.
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14 |
726
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Renamed a few types to uppercase names to prepare the move to the octree package.
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15 Min Vertex |
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Renamed a few types to uppercase names to prepare the move to the octree package.
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16 Max Vertex |
707
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octree: Moved octree traveral code to own file.
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17 } |
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octree: Moved octree traveral code to own file.
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18 |
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Vertical traversal of octree for cross sections. WIP.
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19 type box2d struct { |
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Vertical traversal of octree for cross sections. WIP.
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20 x1 float64 |
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Vertical traversal of octree for cross sections. WIP.
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21 y1 float64 |
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Vertical traversal of octree for cross sections. WIP.
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22 x2 float64 |
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Vertical traversal of octree for cross sections. WIP.
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23 y2 float64 |
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Vertical traversal of octree for cross sections. WIP.
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24 } |
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Vertical traversal of octree for cross sections. WIP.
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25 |
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Vertical traversal of octree for cross sections. WIP.
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26 func (a box2d) intersects(b box2d) bool { |
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Vertical traversal of octree for cross sections. WIP.
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27 return !(a.x2 < a.x1 || a.x2 < b.x1 || |
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Vertical traversal of octree for cross sections. WIP.
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28 a.y2 < a.y1 || a.y2 < b.y1) |
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Vertical traversal of octree for cross sections. WIP.
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29 } |
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Vertical traversal of octree for cross sections. WIP.
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30 |
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Vertical traversal of octree for cross sections. WIP.
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31 func (a box2d) mid() (float64, float64) { |
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Vertical traversal of octree for cross sections. WIP.
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32 return (a.x2-a.x1)*0.5 + a.x1, (a.y2-a.y1)*0.5 + a.y1 |
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Vertical traversal of octree for cross sections. WIP.
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33 } |
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Vertical traversal of octree for cross sections. WIP.
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34 |
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Vertical traversal of octree for cross sections. WIP.
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35 func (a box2d) xi(i int) float64 { |
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Vertical traversal of octree for cross sections. WIP.
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36 if i == 0 { |
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Vertical traversal of octree for cross sections. WIP.
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37 return a.x1 |
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Vertical traversal of octree for cross sections. WIP.
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38 } |
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Vertical traversal of octree for cross sections. WIP.
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39 return a.x2 |
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Vertical traversal of octree for cross sections. WIP.
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parents:
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40 } |
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Vertical traversal of octree for cross sections. WIP.
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parents:
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41 |
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Vertical traversal of octree for cross sections. WIP.
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42 func (a box2d) yi(i int) float64 { |
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Vertical traversal of octree for cross sections. WIP.
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43 if i == 0 { |
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Vertical traversal of octree for cross sections. WIP.
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44 return a.y1 |
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Vertical traversal of octree for cross sections. WIP.
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45 } |
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Vertical traversal of octree for cross sections. WIP.
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parents:
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46 return a.y2 |
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Vertical traversal of octree for cross sections. WIP.
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parents:
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47 } |
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Vertical traversal of octree for cross sections. WIP.
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parents:
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48 |
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Complete vertical octree traversal. Seems not very selective.
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49 var scale = [4][4]float64{ |
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50 {0.0, 0.0, 0.5, 0.5}, |
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Vertical traversal of octree for cross sections. WIP.
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51 {0.5, 0.0, 1.0, 0.5}, |
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Vertical traversal of octree for cross sections. WIP.
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52 {0.0, 0.5, 0.5, 1.0}, |
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Vertical traversal of octree for cross sections. WIP.
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53 {0.5, 0.5, 1.0, 1.0}, |
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Vertical traversal of octree for cross sections. WIP.
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54 } |
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Vertical traversal of octree for cross sections. WIP.
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55 |
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Complete vertical octree traversal. Seems not very selective.
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56 type plane2d struct { |
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57 a float64 |
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58 b float64 |
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59 c float64 |
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60 } |
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Complete vertical octree traversal. Seems not very selective.
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61 |
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62 func newPlane2d(x1, y1, x2, y2 float64) plane2d { |
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63 a := x2 - x1 |
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64 b := y2 - y1 |
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65 |
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66 l := math.Sqrt(a*a + b*b) |
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67 a /= l |
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68 b /= l |
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69 |
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70 // a*x1 + b*y1 + c = 0 |
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71 c := -(a*x1 + b*y1) |
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72 return plane2d{a, b, c} |
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73 } |
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Complete vertical octree traversal. Seems not very selective.
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74 |
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75 func (p plane2d) eval(x, y float64) float64 { |
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76 return p.a*x + p.b*y + p.c |
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77 } |
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Complete vertical octree traversal. Seems not very selective.
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78 |
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79 func (ot *Tree) Vertical(x1, y1, x2, y2 float64, fn func(*Triangle)) { |
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Vertical traversal of octree for cross sections. WIP.
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80 |
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81 box := box2d{ |
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82 x1: math.Min(x1, x2), |
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83 y1: math.Min(y1, y2), |
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84 x2: math.Max(x1, x2), |
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85 y2: math.Max(y1, y2), |
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86 } |
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87 |
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88 // out of bounding box |
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89 if box.x2 < ot.Min.X || ot.Max.X < box.x1 || |
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Vertical traversal of octree for cross sections. WIP.
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90 box.y2 < ot.Min.Y || ot.Max.Y < box.y1 { |
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91 return |
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92 } |
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93 |
756
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94 line := newPlane2d(x1, y1, x2, y2) |
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95 |
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96 type frame struct { |
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97 pos int32 |
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98 box2d |
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99 } |
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100 |
756
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101 dupes := map[int32]struct{}{} |
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102 |
758
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103 all := box2d{ot.Min.X, ot.Min.Y, ot.Max.X, ot.Max.Y} |
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104 log.Printf("area: %f\n", (box.x2-box.x1)*(box.y2-box.y1)) |
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105 log.Printf("all: %f\n", (all.x2-all.x1)*(all.y2-all.y1)) |
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106 |
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107 stack := []frame{{1, all}} |
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108 |
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109 var lineRejected int |
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110 var dupeRejected int |
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111 |
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112 for len(stack) > 0 { |
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113 top := stack[len(stack)-1] |
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114 stack = stack[:len(stack)-1] |
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115 |
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116 if top.pos > 0 { // node |
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117 for i := int32(0); i < 4; i++ { |
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118 a := ot.index[top.pos+i] |
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119 b := ot.index[top.pos+i+4] |
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120 if a == 0 && b == 0 { |
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121 continue |
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122 } |
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123 dx := top.x2 - top.x1 |
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124 dy := top.y2 - top.y1 |
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125 nbox := box2d{ |
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126 dx*scale[i][0] + top.x1, |
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127 dy*scale[i][1] + top.y1, |
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128 dx*scale[i][2] + top.x1, |
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129 dy*scale[i][3] + top.y1, |
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130 } |
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131 if nbox.intersects(box) { |
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132 if a != 0 { |
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133 stack = append(stack, frame{a, nbox}) |
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134 } |
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135 if b != 0 { |
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136 stack = append(stack, frame{b, nbox}) |
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137 } |
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138 } |
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139 } |
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140 } else { // leaf |
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141 pos := -top.pos - 1 |
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142 n := ot.index[pos] |
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143 indices := ot.index[pos+1 : pos+1+n] |
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144 |
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145 for _, idx := range indices { |
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146 if _, found := dupes[idx]; found { |
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147 dupeRejected++ |
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148 continue |
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149 } |
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150 tri := ot.triangles[idx] |
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151 t := Triangle{ |
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152 ot.vertices[tri[0]], |
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153 ot.vertices[tri[1]], |
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154 ot.vertices[tri[2]], |
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155 } |
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156 |
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157 v0 := line.eval(t[0].X, t[0].Y) |
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158 v1 := line.eval(t[1].X, t[1].Y) |
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159 v2 := line.eval(t[2].X, t[2].Y) |
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160 |
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161 sides := func(s int, b bool) int { |
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162 if b { |
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163 return s | 2 |
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164 } |
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165 return s | 1 |
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166 } |
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167 |
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168 const eps = 1e-05 |
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169 |
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170 if math.Abs(v0) < eps || math.Abs(v1) < eps || |
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171 math.Abs(v2) < eps || |
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172 sides(sides(sides(0, |
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173 math.Signbit(v0)), |
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174 math.Signbit(v1)), |
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175 math.Signbit(v2)) == 3 { |
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176 fn(&t) |
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177 } else { |
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178 lineRejected++ |
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179 } |
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180 dupes[idx] = struct{}{} |
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181 } |
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182 } |
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183 } |
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184 |
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185 // XXX: This value seems to high! |
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186 log.Printf("rejected by line test: %d %d %d\n", |
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187 lineRejected, len(dupes), dupeRejected) |
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188 } |
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189 |
727
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190 func (ot *Tree) Horizontal(h float64, fn func(*Triangle)) { |
707
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octree: Moved octree traveral code to own file.
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191 |
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192 if h < ot.Min.Z || ot.Max.Z < h { |
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193 return |
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194 } |
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195 |
707
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196 type frame struct { |
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197 pos int32 |
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198 min float64 |
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199 max float64 |
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200 } |
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201 |
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202 dupes := map[int32]struct{}{} |
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203 |
756
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204 stack := []frame{{1, ot.Min.Z, ot.Max.Z}} |
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205 |
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206 for len(stack) > 0 { |
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207 top := stack[len(stack)-1] |
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208 stack = stack[:len(stack)-1] |
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209 |
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210 pos := top.pos |
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211 if pos == 0 { |
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212 continue |
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213 } |
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214 min, max := top.min, top.max |
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215 |
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216 if pos > 0 { // node |
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217 if mid := (max-min)*0.5 + min; h >= mid { |
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218 pos += 4 // nodes with z-bit set |
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219 min = mid |
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220 } else { |
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221 max = mid |
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222 } |
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223 stack = append(stack, |
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224 frame{ot.index[pos+0], min, max}, |
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225 frame{ot.index[pos+1], min, max}, |
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226 frame{ot.index[pos+2], min, max}, |
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227 frame{ot.index[pos+3], min, max}) |
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228 } else { // leaf |
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229 pos = -pos - 1 |
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230 n := ot.index[pos] |
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231 //log.Printf("%d %d %d\n", pos, n, len(ot.index)) |
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232 indices := ot.index[pos+1 : pos+1+n] |
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233 |
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234 for _, idx := range indices { |
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235 if _, found := dupes[idx]; found { |
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236 continue |
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237 } |
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238 tri := ot.triangles[idx] |
726
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239 t := Triangle{ |
707
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240 ot.vertices[tri[0]], |
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241 ot.vertices[tri[1]], |
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242 ot.vertices[tri[2]], |
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243 } |
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244 |
727
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245 if !(math.Min(t[0].Z, math.Min(t[1].Z, t[2].Z)) > h || |
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246 math.Max(t[0].Z, math.Max(t[1].Z, t[2].Z)) < h) { |
707
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247 dupes[idx] = struct{}{} |
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248 fn(&t) |
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249 } |
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250 } |
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251 } |
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252 } |
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253 } |