annotate pkg/mesh/triangulator.go @ 5688:6281c18b109f sr-v2

Finsh serializing v2 meshes.
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Mon, 12 Feb 2024 02:27:41 +0100
parents f4abfd0ee8ad
children
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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
4827
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20 package mesh
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21
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22 import (
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23 "errors"
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24 "math"
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25 "sort"
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26 )
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27
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28 type triangulator struct {
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29 points []Vertex
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30 squaredDistances []float64
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31 ids []int32
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32 center Vertex
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33 triangles []int32
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34 halfedges []int32
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35 trianglesLen int
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36 hull *node
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37 hash []*node
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38 }
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39
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40 func newTriangulator(points []Vertex) *triangulator {
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41 return &triangulator{points: points}
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42 }
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43
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44 // sorting a triangulator sorts the `ids` such that the referenced points
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45 // are in order by their distance to `center`
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46 func (tri *triangulator) Len() int {
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47 return len(tri.points)
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48 }
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49
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50 func (tri *triangulator) Swap(i, j int) {
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51 tri.ids[i], tri.ids[j] = tri.ids[j], tri.ids[i]
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52 }
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53
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54 func (tri *triangulator) Less(i, j int) bool {
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55 d1 := tri.squaredDistances[tri.ids[i]]
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56 d2 := tri.squaredDistances[tri.ids[j]]
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57 if d1 != d2 {
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58 return d1 < d2
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59 }
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60 p1 := tri.points[tri.ids[i]]
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61 p2 := tri.points[tri.ids[j]]
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62 if p1.X != p2.X {
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63 return p1.X < p2.X
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64 }
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65 return p1.Y < p2.Y
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66 }
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67
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68 func (tri *triangulator) triangulate() error {
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69 points := tri.points
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70
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71 n := len(points)
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72 if n == 0 {
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73 return nil
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74 }
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75
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76 tri.ids = make([]int32, n)
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77
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78 // compute bounds
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79 x0 := points[0].X
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80 y0 := points[0].Y
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81 x1 := points[0].X
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82 y1 := points[0].Y
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83 for i, p := range points {
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84 if p.X < x0 {
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85 x0 = p.X
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86 }
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87 if p.X > x1 {
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88 x1 = p.X
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89 }
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90 if p.Y < y0 {
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91 y0 = p.Y
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92 }
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93 if p.Y > y1 {
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94 y1 = p.Y
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95 }
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96 tri.ids[i] = int32(i)
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97 }
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98
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99 var i0, i1, i2 int32
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100
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101 // pick a seed point close to midpoint
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102 m := Vertex{X: (x0 + x1) / 2, Y: (y0 + y1) / 2}
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103 minDist := infinity
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104 for i, p := range points {
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105 d := p.SquaredDistance2D(m)
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106 if d < minDist {
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107 i0 = int32(i)
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108 minDist = d
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109 }
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110 }
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111
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112 // find point closest to seed point
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113 minDist = infinity
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114 for i, p := range points {
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115 if int32(i) == i0 {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
116 continue
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
117 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
118 d := p.SquaredDistance2D(points[i0])
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
119 if d > 0 && d < minDist {
2484
4fa92d468164 Use fogleman's triangulation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2483
diff changeset
120 i1 = int32(i)
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
121 minDist = d
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
122 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
123 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
124
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
125 // find the third point which forms the smallest circumcircle
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
126 minRadius := infinity
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
127 for i, p := range points {
2484
4fa92d468164 Use fogleman's triangulation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2483
diff changeset
128 if int32(i) == i0 || int32(i) == i1 {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
129 continue
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
130 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
131 r := circumradius(points[i0], points[i1], p)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
132 if r < minRadius {
2484
4fa92d468164 Use fogleman's triangulation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2483
diff changeset
133 i2 = int32(i)
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
134 minRadius = r
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
135 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
136 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
137 if minRadius == infinity {
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
138 return errors.New("no delaunay triangulation exists for this input")
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
139 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
140
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
141 // swap the order of the seed points for counter-clockwise orientation
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
142 if area(points[i0], points[i1], points[i2]) < 0 {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
143 i1, i2 = i2, i1
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
144 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
145
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
146 tri.center = circumcenter(points[i0], points[i1], points[i2])
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
147
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
148 // sort the points by distance from the seed triangle circumcenter
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
149 tri.squaredDistances = make([]float64, n)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
150 for i, p := range points {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
151 tri.squaredDistances[i] = p.SquaredDistance2D(tri.center)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
152 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
153 sort.Sort(tri)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
154
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
155 // initialize a hash table for storing edges of the advancing convex hull
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
156 hashSize := int(math.Ceil(math.Sqrt(float64(n))))
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
157 tri.hash = make([]*node, hashSize)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
158
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
159 // initialize a circular doubly-linked list that will hold an advancing convex hull
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
160 nodes := make([]node, n)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
161
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
162 e := newNode(nodes, i0, nil)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
163 e.t = 0
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
164 tri.hashEdge(e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
165
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
166 e = newNode(nodes, i1, e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
167 e.t = 1
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
168 tri.hashEdge(e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
169
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
170 e = newNode(nodes, i2, e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
171 e.t = 2
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
172 tri.hashEdge(e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
173
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
174 tri.hull = e
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
175
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
176 maxTriangles := 2*n - 5
2484
4fa92d468164 Use fogleman's triangulation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2483
diff changeset
177 tri.triangles = make([]int32, maxTriangles*3)
4fa92d468164 Use fogleman's triangulation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2483
diff changeset
178 tri.halfedges = make([]int32, maxTriangles*3)
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
179
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
180 tri.addTriangle(i0, i1, i2, -1, -1, -1)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
181
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
182 pp := Vertex{X: infinity, Y: infinity}
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
183 for k := 0; k < n; k++ {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
184 i := tri.ids[k]
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
185 p := points[i]
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
186
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
187 // skip nearly-duplicate points
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
188 if p.SquaredDistance2D(pp) < eps {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
189 continue
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
190 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
191 pp = p
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
192
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
193 // skip seed triangle points
2484
4fa92d468164 Use fogleman's triangulation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2483
diff changeset
194 if i == int32(i0) || i == int32(i1) || i == int32(i2) {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
195 continue
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
196 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
197
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
198 // find a visible edge on the convex hull using edge hash
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
199 var start *node
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
200 key := tri.hashKey(p)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
201 for j := 0; j < len(tri.hash); j++ {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
202 start = tri.hash[key]
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
203 if start != nil && start.i >= 0 {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
204 break
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
205 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
206 key++
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
207 if key >= len(tri.hash) {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
208 key = 0
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
209 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
210 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
211 start = start.prev
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
212
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
213 e := start
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
214 for area(p, points[e.i], points[e.next.i]) >= 0 {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
215 e = e.next
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
216 if e == start {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
217 e = nil
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
218 break
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
219 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
220 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
221 if e == nil {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
222 // likely a near-duplicate point; skip it
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
223 continue
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
224 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
225 walkBack := e == start
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
226
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
227 // add the first triangle from the point
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
228 t := tri.addTriangle(e.i, i, e.next.i, -1, -1, e.t)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
229 e.t = t // keep track of boundary triangles on the hull
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
230 e = newNode(nodes, i, e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
231
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
232 // recursively flip triangles from the point until they satisfy the Delaunay condition
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parents:
diff changeset
233 e.t = tri.legalize(t + 2)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
234
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
235 // walk forward through the hull, adding more triangles and flipping recursively
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
236 q := e.next
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
237 for area(p, points[q.i], points[q.next.i]) < 0 {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
238 t = tri.addTriangle(q.i, i, q.next.i, q.prev.t, -1, q.t)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
239 q.prev.t = tri.legalize(t + 2)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
240 tri.hull = q.remove()
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
241 q = q.next
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
242 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
243
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
244 if walkBack {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
245 // walk backward from the other side, adding more triangles and flipping
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
246 q := e.prev
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
247 for area(p, points[q.prev.i], points[q.i]) < 0 {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
248 t = tri.addTriangle(q.prev.i, i, q.i, -1, q.t, q.prev.t)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
249 tri.legalize(t + 2)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
250 q.prev.t = t
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
251 tri.hull = q.remove()
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
252 q = q.prev
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
253 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
254 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
255
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
256 // save the two new edges in the hash table
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
257 tri.hashEdge(e)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
258 tri.hashEdge(e.prev)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
259 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
260
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
261 tri.triangles = tri.triangles[:tri.trianglesLen]
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
262 tri.halfedges = tri.halfedges[:tri.trianglesLen]
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
263
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
264 return nil
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
265 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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266
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parents: 2484
diff changeset
267 func (tri *triangulator) hashKey(point Vertex) int {
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
268 d := point.Sub2D(tri.center)
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parents: 2484
diff changeset
269 return int(pseudoAngle(d.X, d.Y) * float64(len(tri.hash)))
2483
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parents:
diff changeset
270 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
271
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parents: 2484
diff changeset
272 func (tri *triangulator) hashEdge(e *node) {
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
273 tri.hash[tri.hashKey(tri.points[e.i])] = e
2483
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parents:
diff changeset
274 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
275
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diff changeset
276 func (tri *triangulator) addTriangle(i0, i1, i2, a, b, c int32) int32 {
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
277 i := int32(tri.trianglesLen)
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
278 tri.triangles[i] = i0
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parents: 2484
diff changeset
279 tri.triangles[i+1] = i1
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parents: 2484
diff changeset
280 tri.triangles[i+2] = i2
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
281 tri.link(i, a)
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
282 tri.link(i+1, b)
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parents: 2484
diff changeset
283 tri.link(i+2, c)
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
284 tri.trianglesLen += 3
2483
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parents:
diff changeset
285 return i
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
286 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
287
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parents: 2484
diff changeset
288 func (tri *triangulator) link(a, b int32) {
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
289 tri.halfedges[a] = b
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parents:
diff changeset
290 if b >= 0 {
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parents: 2484
diff changeset
291 tri.halfedges[b] = a
2483
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parents:
diff changeset
292 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
293 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
294
4151
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parents: 2484
diff changeset
295 func (tri *triangulator) legalize(a int32) int32 {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
296 // if the pair of triangles doesn't satisfy the Delaunay condition
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
297 // (p1 is inside the circumcircle of [p0, pl, pr]), flip them,
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
298 // then do the same check/flip recursively for the new pair of triangles
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
299 //
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
300 // pl pl
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
301 // /||\ / \
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
302 // al/ || \bl al/ \a
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
303 // / || \ / \
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
304 // / a||b \ flip /___ar___\
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
305 // p0\ || /p1 => p0\---bl---/p1
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
306 // \ || / \ /
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
307 // ar\ || /br b\ /br
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
308 // \||/ \ /
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
309 // pr pr
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
310
4151
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parents: 2484
diff changeset
311 b := tri.halfedges[a]
2483
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parents:
diff changeset
312
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
313 a0 := a - a%3
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
314 b0 := b - b%3
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
315
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
316 al := a0 + (a+1)%3
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
317 ar := a0 + (a+2)%3
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
318 bl := b0 + (b+2)%3
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
319
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
320 if b < 0 {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
321 return ar
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
322 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
323
4151
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parents: 2484
diff changeset
324 p0 := tri.triangles[ar]
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
325 pr := tri.triangles[a]
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
326 pl := tri.triangles[al]
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
327 p1 := tri.triangles[bl]
2483
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parents:
diff changeset
328
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parents: 2484
diff changeset
329 illegal := inCircle(tri.points[p0], tri.points[pr], tri.points[pl], tri.points[p1])
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
330
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
331 if illegal {
4151
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parents: 2484
diff changeset
332 tri.triangles[a] = p1
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
333 tri.triangles[b] = p0
2483
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
334
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
335 // edge swapped on the other side of the hull (rare)
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
336 // fix the halfedge reference
4151
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parents: 2484
diff changeset
337 if tri.halfedges[bl] == -1 {
d12c2f4d3483 Made 'golint' more happy with the octree package.
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parents: 2484
diff changeset
338 e := tri.hull
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
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parents:
diff changeset
339 for {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
340 if e.t == bl {
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
341 e.t = a
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
342 break
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
343 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
344 e = e.next
4151
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parents: 2484
diff changeset
345 if e == tri.hull {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
346 break
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
347 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
348 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
349 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
350
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
351 tri.link(a, tri.halfedges[bl])
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
352 tri.link(b, tri.halfedges[ar])
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
353 tri.link(ar, bl)
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
354
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
355 br := b0 + (b+1)%3
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
356
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
357 tri.legalize(a)
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
358 return tri.legalize(br)
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
359 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
360
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
361 return ar
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
362 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
363
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
364 func (tri *triangulator) convexHull() []Vertex {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
365 var result []Vertex
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
366 e := tri.hull
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
367 for e != nil {
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
368 result = append(result, tri.points[e.i])
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
369 e = e.prev
4151
d12c2f4d3483 Made 'golint' more happy with the octree package.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 2484
diff changeset
370 if e == tri.hull {
2483
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
371 break
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
372 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
373 }
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
374 return result
620038ade708 Incorporated fogleman's fast Delaunay triangulation adjuted to our vertex model.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
375 }