Mercurial > gemma
annotate pkg/octree/triangulation.go @ 2549:9bf6b767a56a
client: refactored and improved splitscreen for diagrams
To make different diagrams possible, the splitscreen view needed to be decoupled from the cross profiles.
Also the style has changed to make it more consistent with the rest of the app. The standard box header
is now used and there are collapse and expand animations.
author | Markus Kottlaender <markus@intevation.de> |
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date | Fri, 08 Mar 2019 08:50:47 +0100 |
parents | 4fa92d468164 |
children | 6248a4bc10c7 |
rev | line source |
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1 // Copyright (C) 2018 Michael Fogleman |
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2 // |
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3 // Permission is hereby granted, free of charge, to any person obtaining |
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4 // a copy of this software and associated documentation files (the "Software"), |
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5 // to deal in the Software without restriction, including without limitation |
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6 // the rights to use, copy, modify, merge, publish, distribute, sublicense, |
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7 // and/or sell copies of the Software, and to permit persons to whom the |
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8 // Software is furnished to do so, subject to the following conditions: |
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9 // |
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10 // The above copyright notice and this permission notice shall be included |
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11 // in all copies or substantial portions of the Software. |
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12 // |
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13 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS |
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14 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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15 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
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16 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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17 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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18 // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
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19 |
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20 package octree |
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21 |
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22 import ( |
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23 "fmt" |
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24 "math" |
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25 ) |
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26 |
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27 type Triangulation struct { |
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28 Points []Vertex |
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29 ConvexHull []Vertex |
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30 Triangles []int32 |
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31 Halfedges []int32 |
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32 } |
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33 |
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34 // Triangulate returns a Delaunay triangulation of the provided points. |
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35 func Triangulate(points []Vertex) (*Triangulation, error) { |
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36 t := newTriangulator(points) |
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37 err := t.triangulate() |
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38 return &Triangulation{points, t.convexHull(), t.triangles, t.halfedges}, err |
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39 } |
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40 |
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41 func (t *Triangulation) TriangleSlices() [][]int32 { |
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42 sl := make([][]int32, len(t.Triangles)/3) |
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43 var j int |
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44 for i := range sl { |
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45 sl[i] = t.Triangles[j : j+3] |
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46 j += 3 |
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47 } |
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48 return sl |
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49 } |
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50 |
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51 func (t *Triangulation) Tin() *Tin { |
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52 |
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53 min := Vertex{math.MaxFloat64, math.MaxFloat64, math.MaxFloat64} |
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54 max := Vertex{-math.MaxFloat64, -math.MaxFloat64, -math.MaxFloat64} |
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55 |
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56 vertices := t.Points |
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57 |
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58 for _, v := range vertices { |
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59 min.Minimize(v) |
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60 max.Maximize(v) |
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61 } |
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62 |
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63 return &Tin{ |
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64 Vertices: vertices, |
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65 Triangles: t.TriangleSlices(), |
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66 Min: min, |
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67 Max: max, |
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68 } |
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69 } |
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70 |
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71 func (t *Triangulation) area() float64 { |
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72 var result float64 |
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73 points := t.Points |
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74 ts := t.Triangles |
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75 for i := 0; i < len(ts); i += 3 { |
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76 p0 := points[ts[i+0]] |
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77 p1 := points[ts[i+1]] |
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78 p2 := points[ts[i+2]] |
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79 result += area(p0, p1, p2) |
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80 } |
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81 return result / 2 |
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82 } |
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83 |
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84 // Validate performs several sanity checks on the Triangulation to check for |
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85 // potential errors. Returns nil if no issues were found. You normally |
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86 // shouldn't need to call this function but it can be useful for debugging. |
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87 func (t *Triangulation) Validate() error { |
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88 // verify halfedges |
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89 for i1, i2 := range t.Halfedges { |
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90 if i1 != -1 && t.Halfedges[i1] != i2 { |
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91 return fmt.Errorf("invalid halfedge connection") |
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92 } |
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93 if i2 != -1 && t.Halfedges[i2] != int32(i1) { |
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94 return fmt.Errorf("invalid halfedge connection") |
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95 } |
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96 } |
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97 |
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98 // verify convex hull area vs sum of triangle areas |
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99 hull1 := t.ConvexHull |
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100 hull2 := ConvexHull(t.Points) |
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101 area1 := polygonArea(hull1) |
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102 area2 := polygonArea(hull2) |
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103 area3 := t.area() |
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Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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104 if math.Abs(area1-area2) > 1e-9 || math.Abs(area1-area3) > 1e-9 { |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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105 return fmt.Errorf("hull areas disagree: %f, %f, %f", area1, area2, area3) |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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106 } |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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107 |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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108 // verify convex hull perimeter |
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Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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109 perimeter1 := polygonPerimeter(hull1) |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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110 perimeter2 := polygonPerimeter(hull2) |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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111 if math.Abs(perimeter1-perimeter2) > 1e-9 { |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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112 return fmt.Errorf("hull perimeters disagree: %f, %f", perimeter1, perimeter2) |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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113 } |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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114 |
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Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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115 return nil |
620038ade708
Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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116 } |