Mercurial > gemma
annotate pkg/octree/polygon.go @ 2498:843f39b9327e octree-diff
Handle hole more precisely.
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Mon, 04 Mar 2019 14:46:49 +0100 |
parents | 98bc023750cf |
children | 2833ff156cb2 |
rev | line source |
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2488
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Started with the idea to clip an octree by an bounding polygon.
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1 // This is Free Software under GNU Affero General Public License v >= 3.0 |
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2 // without warranty, see README.md and license for details. |
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3 // |
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4 // SPDX-License-Identifier: AGPL-3.0-or-later |
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5 // License-Filename: LICENSES/AGPL-3.0.txt |
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6 // |
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7 // Copyright (C) 2018 by via donau |
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8 // – Österreichische Wasserstraßen-Gesellschaft mbH |
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9 // Software engineering by Intevation GmbH |
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10 // |
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11 // Author(s): |
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12 // * Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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13 |
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14 package octree |
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15 |
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16 import ( |
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17 "bytes" |
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18 "encoding/binary" |
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19 "fmt" |
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20 "log" |
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21 "math" |
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22 |
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23 "github.com/tidwall/rtree" |
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24 |
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25 "gemma.intevation.de/gemma/pkg/wkb" |
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26 ) |
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27 |
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28 type ( |
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29 ring []float64 |
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30 |
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31 Polygon struct { |
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32 // TODO: Implement me! |
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33 rings []ring |
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34 |
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35 indices []*rtree.RTree |
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36 } |
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37 |
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38 IntersectionType byte |
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39 |
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40 lineSegment []float64 |
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41 ) |
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42 |
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43 const ( |
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44 IntersectionInside IntersectionType = iota |
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45 IntersectionOutSide |
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46 IntersectionOverlaps |
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47 ) |
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48 |
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49 func (ls lineSegment) Rect(interface{}) ([]float64, []float64) { |
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50 |
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51 var min, max [2]float64 |
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52 |
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53 if ls[0] < ls[2] { |
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54 min[0] = ls[0] |
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55 max[0] = ls[2] |
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56 } else { |
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57 min[0] = ls[2] |
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58 max[0] = ls[0] |
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59 } |
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60 |
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61 if ls[1] < ls[3] { |
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62 min[1] = ls[1] |
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63 max[1] = ls[3] |
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64 } else { |
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65 min[1] = ls[3] |
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66 max[1] = ls[1] |
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67 } |
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68 |
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69 return min[:], max[:] |
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70 } |
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71 |
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72 func (p *Polygon) Indexify() { |
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73 indices := make([]*rtree.RTree, len(p.rings)) |
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74 |
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75 for i := range indices { |
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76 index := rtree.New(nil) |
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77 indices[i] = index |
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78 |
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79 rng := p.rings[i] |
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80 |
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81 for i := 0; i < len(rng); i += 2 { |
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82 var ls lineSegment |
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83 if i+4 <= len(rng) { |
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84 ls = lineSegment(rng[i : i+4]) |
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85 } else { |
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86 ls = []float64{rng[i], rng[i+1], rng[0], rng[1]} |
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87 } |
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88 index.Insert(ls) |
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89 } |
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90 } |
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91 |
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92 p.indices = indices |
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93 } |
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94 |
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95 func (ls lineSegment) intersects(a Box2D) bool { |
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96 p1x := ls[0] |
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97 p1y := ls[1] |
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98 p2x := ls[2] |
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99 p2y := ls[3] |
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100 |
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101 left := a.X1 |
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102 right := a.X2 |
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103 top := a.Y1 |
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104 bottom := a.Y2 |
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105 |
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106 // The direction of the ray |
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107 dx := p2x - p1x |
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108 dy := p2y - p1y |
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109 |
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110 min, max := 0.0, 1.0 |
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111 |
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112 var t0, t1 float64 |
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113 |
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114 // Left and right sides. |
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115 // - If the line is parallel to the y axis. |
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116 if dx == 0 { |
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117 if p1x < left || p1x > right { |
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118 return false |
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119 } |
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120 } else { |
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121 // - Make sure t0 holds the smaller value by checking the direction of the line. |
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122 if dx > 0 { |
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123 t0 = (left - p1x) / dx |
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124 t1 = (right - p1x) / dx |
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125 } else { |
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126 t1 = (left - p1x) / dx |
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127 t0 = (right - p1x) / dx |
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128 } |
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129 |
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130 if t0 > min { |
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131 min = t0 |
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132 } |
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133 if t1 < max { |
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134 max = t1 |
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135 } |
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136 if min > max || max < 0 { |
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137 return false |
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138 } |
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139 } |
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140 |
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141 // The top and bottom side. |
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142 // - If the line is parallel to the x axis. |
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143 if dy == 0 { |
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144 if p1y < top || p1y > bottom { |
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145 return false |
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146 } |
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147 } else { |
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148 // - Make sure t0 holds the smaller value by checking the direction of the line. |
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149 if dy > 0 { |
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150 t0 = (top - p1y) / dy |
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151 t1 = (bottom - p1y) / dy |
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152 } else { |
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153 t1 = (top - p1y) / dy |
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154 t0 = (bottom - p1y) / dy |
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155 } |
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156 |
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157 if t0 > min { |
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158 min = t0 |
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159 } |
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160 if t1 < max { |
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161 max = t1 |
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162 } |
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163 if min > max || max < 0 { |
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164 return false |
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165 } |
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166 } |
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167 |
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168 // The point of intersection |
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169 // ix = p1x + dx*min |
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170 // iy = p1y + dy*min |
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171 return true |
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172 } |
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173 |
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174 func (ls lineSegment) intersectsLineSegment(o lineSegment) bool { |
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175 |
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176 p0 := ls[:2] |
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177 p1 := ls[2:4] |
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178 p2 := o[:2] |
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179 p3 := o[2:4] |
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180 |
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181 s10x := p1[0] - p0[0] |
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182 s10y := p1[1] - p0[1] |
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183 s32x := p3[0] - p2[0] |
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184 s32y := p3[1] - p2[1] |
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185 |
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186 den := s10x*s32y - s32x*s10y |
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187 |
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188 if den == 0 { |
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189 return false |
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190 } |
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191 |
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192 denPos := den > 0 |
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193 |
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194 s02x := p0[0] - p2[0] |
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195 s02y := p0[1] - p2[1] |
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196 |
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197 sNum := s10x*s02y - s10y*s02x |
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198 if sNum < 0 == denPos { |
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199 return false |
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200 } |
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201 |
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202 tNum := s32x*s02y - s32y*s02x |
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203 if tNum < 0 == denPos { |
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204 return false |
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205 } |
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206 |
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207 if sNum > den == denPos || tNum > den == denPos { |
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208 return false |
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209 } |
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210 |
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211 // t := tNum / den |
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212 // intersection at( p0[0] + (t * s10x), p0[1] + (t * s10y) ) |
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213 return true |
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214 } |
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215 |
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216 func (p *Polygon) IntersectionBox2D(box Box2D) IntersectionType { |
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217 |
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218 if len(p.rings) == 0 { |
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219 return IntersectionOutSide |
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220 } |
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221 |
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222 for _, index := range p.indices { |
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223 var intersects bool |
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224 index.Search(box, func(item rtree.Item) bool { |
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225 if item.(lineSegment).intersects(box) { |
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226 intersects = true |
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227 return false |
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228 } |
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229 return true |
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230 }) |
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231 if intersects { |
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232 return IntersectionOverlaps |
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233 } |
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234 } |
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235 |
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236 // No intersection -> check inside or outside |
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237 // if an abritrary point is inside or not. |
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238 point := []float64{box.X1, box.Y1} |
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239 |
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240 // Check holes first: inside a hole means outside. |
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241 if len(p.rings) > 1 { |
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242 for _, hole := range p.rings[1:] { |
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243 if hole.contains(point) { |
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244 return IntersectionOutSide |
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245 } |
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246 } |
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247 } |
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248 |
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249 // Check shell |
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250 if p.rings[0].contains(point) { |
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251 return IntersectionInside |
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252 } |
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253 return IntersectionOutSide |
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254 } |
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255 |
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256 func (p *Polygon) IntersectionWithTriangle(t *Triangle) IntersectionType { |
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257 box := t.BBox() |
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258 for _, index := range p.indices { |
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259 var intersects bool |
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260 index.Search(box, func(item rtree.Item) bool { |
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261 ls := item.(lineSegment) |
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262 other := make(lineSegment, 4) |
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263 for i := range t { |
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264 other[0] = t[i].X |
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265 other[1] = t[i].Y |
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266 other[2] = t[(i+1)%len(t)].X |
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267 other[3] = t[(i+1)%len(t)].Y |
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268 if ls.intersectsLineSegment(other) { |
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269 intersects = true |
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270 return false |
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271 } |
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272 } |
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273 return true |
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274 }) |
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275 if intersects { |
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276 return IntersectionOverlaps |
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277 } |
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278 } |
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279 // No intersection -> check inside or outside |
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280 // if an abritrary point is inside or not. |
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281 point := []float64{t[0].X, t[0].Y} |
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282 |
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283 // Check holes first: inside a hole means outside. |
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284 if len(p.rings) > 1 { |
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285 for _, hole := range p.rings[1:] { |
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286 if hole.contains(point) { |
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287 return IntersectionOutSide |
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288 } |
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289 } |
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290 } |
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291 |
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292 // Check shell |
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293 if p.rings[0].contains(point) { |
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294 return IntersectionInside |
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295 } |
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296 return IntersectionOutSide |
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297 } |
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298 |
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299 func (rng ring) isClosed() bool { return (len(rng) / 2) >= 3 } |
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300 |
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301 func (rng ring) contains(point []float64) bool { |
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302 if !rng.isClosed() { |
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303 return false |
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304 } |
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305 |
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306 end := len(rng)/2 - 1 |
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307 |
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308 contains := intersectsWithRaycast(point, rng[:2], rng[end*2:end*2+2]) |
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309 |
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310 for i := 2; i < len(rng); i += 2 { |
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311 if intersectsWithRaycast(point, rng[i-2:i], rng[i:i+2]) { |
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312 contains = !contains |
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313 } |
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314 } |
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315 |
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316 return contains |
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317 } |
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318 |
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319 // Using the raycast algorithm, this returns whether or not the passed in point |
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320 // Intersects with the edge drawn by the passed in start and end points. |
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321 // Original implementation: http://rosettacode.org/wiki/Ray-casting_algorithm#Go |
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322 func intersectsWithRaycast(point, start, end []float64) bool { |
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323 |
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324 // Always ensure that the the first point |
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325 // has a y coordinate that is less than the second point |
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326 if start[1] > end[1] { |
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327 // Switch the points if otherwise. |
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328 start, end = end, start |
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329 } |
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330 |
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331 // Move the point's y coordinate |
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332 // outside of the bounds of the testing region |
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333 // so we can start drawing a ray |
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334 for point[1] == start[1] || point[1] == end[1] { |
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335 y := math.Nextafter(point[1], math.Inf(1)) |
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336 point = []float64{point[0], y} |
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337 } |
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338 |
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339 // If we are outside of the polygon, indicate so. |
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340 if point[1] < start[1] || point[1] > end[1] { |
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341 return false |
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342 } |
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343 |
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344 if start[0] > end[0] { |
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345 if point[0] > start[0] { |
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346 return false |
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347 } |
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348 if point[0] < end[0] { |
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349 return true |
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350 } |
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351 } else { |
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352 if point[0] > end[0] { |
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353 return false |
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354 } |
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355 if point[0] < start[0] { |
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356 return true |
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357 } |
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358 } |
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359 |
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360 raySlope := (point[1] - start[1]) / (point[0] - start[0]) |
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361 diagSlope := (end[1] - start[1]) / (end[0] - start[0]) |
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362 |
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363 return raySlope >= diagSlope |
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364 } |
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365 |
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366 func (p *Polygon) FromWKB(data []byte) error { |
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367 |
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368 r := bytes.NewReader(data) |
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369 |
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370 endian, err := r.ReadByte() |
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371 |
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372 var order binary.ByteOrder |
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373 |
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374 switch { |
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375 case err != nil: |
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376 return err |
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377 case endian == wkb.NDR: |
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378 order = binary.LittleEndian |
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379 case endian == wkb.XDR: |
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380 order = binary.BigEndian |
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381 default: |
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382 return fmt.Errorf("unknown byte order %x", endian) |
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383 } |
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384 |
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385 var geomType uint32 |
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386 err = binary.Read(r, order, &geomType) |
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387 |
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388 switch { |
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389 case err != nil: |
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390 return err |
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391 case geomType != wkb.Polygon: |
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392 return fmt.Errorf("unknown geometry type %x", geomType) |
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393 } |
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394 |
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395 var numRings uint32 |
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396 if err = binary.Read(r, order, &numRings); err != nil { |
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397 return err |
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398 } |
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399 |
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400 rngs := make([]ring, numRings) |
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401 |
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402 log.Printf("info: Number of rings: %d\n", len(rngs)) |
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403 |
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404 for rng := uint32(0); rng < numRings; rng++ { |
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405 var numVertices uint32 |
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406 if err = binary.Read(r, order, &numVertices); err != nil { |
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407 return err |
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408 } |
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409 |
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410 log.Printf("info: Number of vertices in ring %d: %d\n", rng, numVertices) |
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411 |
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412 numVertices *= 2 |
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413 vertices := make([]float64, numVertices) |
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414 |
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415 for v := uint32(0); v < numVertices; v += 2 { |
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416 var lat, lon uint64 |
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417 if err = binary.Read(r, order, &lat); err != nil { |
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418 return err |
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419 } |
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420 if err = binary.Read(r, order, &lon); err != nil { |
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421 return err |
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422 } |
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changeset
|
423 vertices[v] = math.Float64frombits(lat) |
c9164ff98871
Started with point in polygon check.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
2489
diff
changeset
|
424 vertices[v+1] = math.Float64frombits(lon) |
2489
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
425 } |
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
426 |
2490
c9164ff98871
Started with point in polygon check.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
2489
diff
changeset
|
427 rngs[rng] = vertices |
2489
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
428 } |
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
429 |
2490
c9164ff98871
Started with point in polygon check.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
2489
diff
changeset
|
430 p.rings = rngs |
2489
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
431 |
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
432 return nil |
4f292ff74d9e
Added a WKB reader for clipping polygon.
Sascha L. Teichmann <teichmann@intevation.de>
parents:
2488
diff
changeset
|
433 } |