Mercurial > gemma
annotate pkg/octree/polygon.go @ 2575:59e7a011d347
Morphological differences: Moved TIN clipping to octree package and hide the technical details there.
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Mon, 11 Mar 2019 14:50:04 +0100 |
parents | 2833ff156cb2 |
children | 857bb070b9f1 |
rev | line source |
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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 "context" |
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19 "database/sql" |
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20 "encoding/binary" |
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21 "fmt" |
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22 "log" |
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23 "math" |
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24 "time" |
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25 |
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26 "github.com/tidwall/rtree" |
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27 |
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28 "gemma.intevation.de/gemma/pkg/wkb" |
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29 ) |
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30 |
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31 type ( |
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32 ring []float64 |
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33 |
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34 Polygon struct { |
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35 rings []ring |
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36 indices []*rtree.RTree |
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37 } |
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38 |
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39 IntersectionType byte |
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40 |
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41 lineSegment []float64 |
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42 ) |
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43 |
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44 const ( |
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45 clippingPolygonSQL = ` |
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46 WITH joined AS ( |
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47 SELECT |
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48 sr.area AS area, |
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49 sr.date_info AS date_info |
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50 FROM waterway.sounding_results sr JOIN |
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51 waterway.bottlenecks bn ON sr.bottleneck_id = bn.id |
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52 WHERE bn.bottleneck_id = $1 |
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53 ) |
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54 SELECT ST_AsBinary( |
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55 ST_intersection( |
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56 (SELECT ST_Transform(area::geometry, $2::int) FROM joined WHERE date_info = $3::date), |
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57 (SELECT ST_Transform(area::geometry, $2::int) FROM joined WHERE date_info = $4::date) |
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58 ) |
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59 ) AS area |
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60 ` |
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61 ) |
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62 |
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63 const ( |
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64 IntersectionInside IntersectionType = iota |
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65 IntersectionOutSide |
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66 IntersectionOverlaps |
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67 ) |
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68 |
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69 func LoadClippingPolygon( |
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70 ctx context.Context, |
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71 conn *sql.Conn, |
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72 epsg uint32, |
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73 bottleneck string, |
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74 first, second time.Time, |
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75 ) (*Polygon, error) { |
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76 |
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77 var clip []byte |
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78 |
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79 if err := conn.QueryRowContext( |
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80 ctx, clippingPolygonSQL, |
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81 bottleneck, |
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82 epsg, |
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83 first, second, |
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84 ).Scan(&clip); err != nil { |
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85 return nil, err |
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86 } |
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87 |
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88 var polygon Polygon |
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89 if err := polygon.FromWKB(clip); err != nil { |
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90 return nil, err |
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91 } |
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92 polygon.Indexify() |
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93 return &polygon, nil |
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94 } |
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95 |
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96 func (ls lineSegment) Rect(interface{}) ([]float64, []float64) { |
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97 |
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98 var min, max [2]float64 |
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99 |
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100 if ls[0] < ls[2] { |
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101 min[0] = ls[0] |
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102 max[0] = ls[2] |
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103 } else { |
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104 min[0] = ls[2] |
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105 max[0] = ls[0] |
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106 } |
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107 |
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108 if ls[1] < ls[3] { |
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109 min[1] = ls[1] |
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110 max[1] = ls[3] |
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111 } else { |
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112 min[1] = ls[3] |
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113 max[1] = ls[1] |
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114 } |
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115 |
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116 return min[:], max[:] |
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117 } |
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118 |
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119 func (p *Polygon) Indexify() { |
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120 indices := make([]*rtree.RTree, len(p.rings)) |
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121 |
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122 for i := range indices { |
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123 index := rtree.New(nil) |
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124 indices[i] = index |
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125 |
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126 rng := p.rings[i] |
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127 |
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128 for i := 0; i < len(rng); i += 2 { |
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129 var ls lineSegment |
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130 if i+4 <= len(rng) { |
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131 ls = lineSegment(rng[i : i+4]) |
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132 } else { |
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133 ls = []float64{rng[i], rng[i+1], rng[0], rng[1]} |
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134 } |
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135 index.Insert(ls) |
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136 } |
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137 } |
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138 |
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139 p.indices = indices |
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140 } |
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141 |
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142 func (ls lineSegment) intersects(a Box2D) bool { |
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143 p1x := ls[0] |
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144 p1y := ls[1] |
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145 p2x := ls[2] |
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146 p2y := ls[3] |
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147 |
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148 left := a.X1 |
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149 right := a.X2 |
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150 top := a.Y1 |
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151 bottom := a.Y2 |
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152 |
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153 // The direction of the ray |
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154 dx := p2x - p1x |
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155 dy := p2y - p1y |
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156 |
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157 min, max := 0.0, 1.0 |
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158 |
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159 var t0, t1 float64 |
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160 |
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161 // Left and right sides. |
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162 // - If the line is parallel to the y axis. |
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163 if dx == 0 { |
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164 if p1x < left || p1x > right { |
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165 return false |
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166 } |
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167 } else { |
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168 // - Make sure t0 holds the smaller value by checking the direction of the line. |
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169 if dx > 0 { |
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170 t0 = (left - p1x) / dx |
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171 t1 = (right - p1x) / dx |
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172 } else { |
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173 t1 = (left - p1x) / dx |
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174 t0 = (right - p1x) / dx |
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175 } |
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176 |
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177 if t0 > min { |
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178 min = t0 |
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179 } |
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180 if t1 < max { |
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181 max = t1 |
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182 } |
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183 if min > max || max < 0 { |
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184 return false |
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185 } |
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186 } |
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187 |
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188 // The top and bottom side. |
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189 // - If the line is parallel to the x axis. |
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190 if dy == 0 { |
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191 if p1y < top || p1y > bottom { |
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192 return false |
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193 } |
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194 } else { |
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195 // - Make sure t0 holds the smaller value by checking the direction of the line. |
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196 if dy > 0 { |
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197 t0 = (top - p1y) / dy |
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198 t1 = (bottom - p1y) / dy |
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199 } else { |
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200 t1 = (top - p1y) / dy |
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201 t0 = (bottom - p1y) / dy |
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202 } |
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203 |
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204 if t0 > min { |
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205 min = t0 |
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206 } |
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207 if t1 < max { |
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208 max = t1 |
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209 } |
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210 if min > max || max < 0 { |
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211 return false |
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212 } |
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213 } |
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214 |
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215 // The point of intersection |
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216 // ix = p1x + dx*min |
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217 // iy = p1y + dy*min |
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218 return true |
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219 } |
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220 |
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221 func (ls lineSegment) intersectsLineSegment(o lineSegment) bool { |
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222 |
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223 p0 := ls[:2] |
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224 p1 := ls[2:4] |
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225 p2 := o[:2] |
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226 p3 := o[2:4] |
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227 |
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228 s10x := p1[0] - p0[0] |
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229 s10y := p1[1] - p0[1] |
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230 s32x := p3[0] - p2[0] |
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231 s32y := p3[1] - p2[1] |
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232 |
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233 den := s10x*s32y - s32x*s10y |
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234 |
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235 if den == 0 { |
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236 return false |
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237 } |
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238 |
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239 denPos := den > 0 |
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240 |
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241 s02x := p0[0] - p2[0] |
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242 s02y := p0[1] - p2[1] |
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243 |
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244 sNum := s10x*s02y - s10y*s02x |
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245 if sNum < 0 == denPos { |
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246 return false |
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247 } |
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248 |
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249 tNum := s32x*s02y - s32y*s02x |
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250 if tNum < 0 == denPos { |
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251 return false |
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252 } |
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253 |
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254 if sNum > den == denPos || tNum > den == denPos { |
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255 return false |
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256 } |
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257 |
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258 // t := tNum / den |
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259 // intersection at( p0[0] + (t * s10x), p0[1] + (t * s10y) ) |
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260 return true |
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261 } |
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262 |
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263 func (p *Polygon) IntersectionBox2D(box Box2D) IntersectionType { |
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264 |
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265 if len(p.rings) == 0 { |
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266 return IntersectionOutSide |
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267 } |
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268 |
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269 for _, index := range p.indices { |
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270 var intersects bool |
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271 index.Search(box, func(item rtree.Item) bool { |
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272 if item.(lineSegment).intersects(box) { |
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273 intersects = true |
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274 return false |
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275 } |
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276 return true |
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277 }) |
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278 if intersects { |
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279 return IntersectionOverlaps |
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280 } |
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281 } |
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282 |
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283 // No intersection -> check inside or outside |
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284 // if an abritrary point is inside or not. |
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285 point := []float64{box.X1, box.Y1} |
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286 |
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287 // Check holes first: inside a hole means outside. |
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288 if len(p.rings) > 1 { |
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289 for _, hole := range p.rings[1:] { |
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290 if hole.contains(point) { |
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291 return IntersectionOutSide |
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292 } |
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293 } |
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294 } |
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295 |
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296 // Check shell |
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297 if p.rings[0].contains(point) { |
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298 return IntersectionInside |
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299 } |
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300 return IntersectionOutSide |
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301 } |
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302 |
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303 func (p *Polygon) IntersectionWithTriangle(t *Triangle) IntersectionType { |
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304 box := t.BBox() |
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305 for _, index := range p.indices { |
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306 var intersects bool |
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307 index.Search(box, func(item rtree.Item) bool { |
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308 ls := item.(lineSegment) |
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309 other := make(lineSegment, 4) |
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310 for i := range t { |
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311 other[0] = t[i].X |
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312 other[1] = t[i].Y |
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313 other[2] = t[(i+1)%len(t)].X |
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314 other[3] = t[(i+1)%len(t)].Y |
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315 if ls.intersectsLineSegment(other) { |
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316 intersects = true |
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317 return false |
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318 } |
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319 } |
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320 return true |
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321 }) |
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322 if intersects { |
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323 return IntersectionOverlaps |
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324 } |
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325 } |
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326 // No intersection -> check inside or outside |
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327 // if an abritrary point is inside or not. |
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328 point := []float64{t[0].X, t[0].Y} |
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329 |
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330 // Check holes first: inside a hole means outside. |
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331 if len(p.rings) > 1 { |
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332 for _, hole := range p.rings[1:] { |
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333 if hole.contains(point) { |
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334 return IntersectionOutSide |
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335 } |
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336 } |
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337 } |
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338 |
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339 // Check shell |
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340 if p.rings[0].contains(point) { |
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341 return IntersectionInside |
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342 } |
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343 return IntersectionOutSide |
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344 } |
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345 |
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346 func (rng ring) isClosed() bool { return (len(rng) / 2) >= 3 } |
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347 |
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348 func (rng ring) contains(point []float64) bool { |
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349 if !rng.isClosed() { |
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350 return false |
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351 } |
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352 |
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353 end := len(rng)/2 - 1 |
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354 |
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355 contains := intersectsWithRaycast(point, rng[:2], rng[end*2:end*2+2]) |
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356 |
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357 for i := 2; i < len(rng); i += 2 { |
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358 if intersectsWithRaycast(point, rng[i-2:i], rng[i:i+2]) { |
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359 contains = !contains |
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360 } |
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361 } |
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362 |
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363 return contains |
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364 } |
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365 |
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366 // Using the raycast algorithm, this returns whether or not the passed in point |
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367 // Intersects with the edge drawn by the passed in start and end points. |
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368 // Original implementation: http://rosettacode.org/wiki/Ray-casting_algorithm#Go |
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369 func intersectsWithRaycast(point, start, end []float64) bool { |
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370 |
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371 // Always ensure that the the first point |
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372 // has a y coordinate that is less than the second point |
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373 if start[1] > end[1] { |
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374 // Switch the points if otherwise. |
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375 start, end = end, start |
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376 } |
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377 |
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378 // Move the point's y coordinate |
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379 // outside of the bounds of the testing region |
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380 // so we can start drawing a ray |
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381 for point[1] == start[1] || point[1] == end[1] { |
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382 y := math.Nextafter(point[1], math.Inf(1)) |
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383 point = []float64{point[0], y} |
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384 } |
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385 |
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386 // If we are outside of the polygon, indicate so. |
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387 if point[1] < start[1] || point[1] > end[1] { |
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388 return false |
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389 } |
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390 |
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391 if start[0] > end[0] { |
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392 if point[0] > start[0] { |
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393 return false |
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394 } |
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395 if point[0] < end[0] { |
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396 return true |
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397 } |
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398 } else { |
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399 if point[0] > end[0] { |
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400 return false |
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401 } |
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402 if point[0] < start[0] { |
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403 return true |
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404 } |
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405 } |
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406 |
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407 raySlope := (point[1] - start[1]) / (point[0] - start[0]) |
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408 diagSlope := (end[1] - start[1]) / (end[0] - start[0]) |
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409 |
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410 return raySlope >= diagSlope |
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411 } |
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412 |
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413 func (p *Polygon) FromWKB(data []byte) error { |
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414 |
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415 r := bytes.NewReader(data) |
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416 |
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417 endian, err := r.ReadByte() |
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418 |
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419 var order binary.ByteOrder |
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420 |
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421 switch { |
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422 case err != nil: |
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423 return err |
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424 case endian == wkb.NDR: |
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425 order = binary.LittleEndian |
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426 case endian == wkb.XDR: |
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427 order = binary.BigEndian |
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428 default: |
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429 return fmt.Errorf("unknown byte order %x", endian) |
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430 } |
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431 |
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432 var geomType uint32 |
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433 err = binary.Read(r, order, &geomType) |
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434 |
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435 switch { |
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436 case err != nil: |
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437 return err |
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438 case geomType != wkb.Polygon: |
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439 return fmt.Errorf("unknown geometry type %x", geomType) |
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440 } |
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441 |
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442 var numRings uint32 |
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443 if err = binary.Read(r, order, &numRings); err != nil { |
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444 return err |
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445 } |
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446 |
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447 rngs := make([]ring, numRings) |
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448 |
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449 log.Printf("info: Number of rings: %d\n", len(rngs)) |
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450 |
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451 for rng := uint32(0); rng < numRings; rng++ { |
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452 var numVertices uint32 |
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453 if err = binary.Read(r, order, &numVertices); err != nil { |
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454 return err |
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455 } |
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456 |
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457 log.Printf("info: Number of vertices in ring %d: %d\n", rng, numVertices) |
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458 |
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459 numVertices *= 2 |
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460 vertices := make([]float64, numVertices) |
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461 |
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462 for v := uint32(0); v < numVertices; v += 2 { |
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463 var lat, lon uint64 |
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464 if err = binary.Read(r, order, &lat); err != nil { |
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465 return err |
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466 } |
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467 if err = binary.Read(r, order, &lon); err != nil { |
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468 return err |
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469 } |
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470 vertices[v] = math.Float64frombits(lat) |
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471 vertices[v+1] = math.Float64frombits(lon) |
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472 } |
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473 |
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474 rngs[rng] = vertices |
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475 } |
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476 |
2490
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477 p.rings = rngs |
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478 |
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479 return nil |
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480 } |