Mercurial > gemma
annotate pkg/octree/polygon.go @ 2878:4f66a3ba424b
Fixed selection for Nash-Sutcliffe coeff calculation.
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Mon, 01 Apr 2019 15:57:36 +0200 |
parents | 857bb070b9f1 |
children | 01ce3ba9b0d0 |
rev | line source |
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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 |
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51 WHERE sr.bottleneck_id = $1 |
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52 ) |
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53 SELECT ST_AsBinary( |
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54 ST_intersection( |
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55 (SELECT ST_Transform(area::geometry, $2::int) FROM joined WHERE date_info = $3::date), |
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56 (SELECT ST_Transform(area::geometry, $2::int) FROM joined WHERE date_info = $4::date) |
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57 ) |
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58 ) AS area |
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59 ` |
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60 ) |
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61 |
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62 const ( |
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63 IntersectionInside IntersectionType = iota |
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64 IntersectionOutSide |
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65 IntersectionOverlaps |
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66 ) |
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67 |
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68 func LoadClippingPolygon( |
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69 ctx context.Context, |
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70 conn *sql.Conn, |
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71 epsg uint32, |
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72 bottleneck string, |
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73 first, second time.Time, |
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74 ) (*Polygon, error) { |
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75 |
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76 var clip []byte |
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77 |
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78 if err := conn.QueryRowContext( |
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79 ctx, clippingPolygonSQL, |
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80 bottleneck, |
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81 epsg, |
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82 first, second, |
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83 ).Scan(&clip); err != nil { |
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84 return nil, err |
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85 } |
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86 |
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87 var polygon Polygon |
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88 if err := polygon.FromWKB(clip); err != nil { |
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89 return nil, err |
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90 } |
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91 polygon.Indexify() |
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92 return &polygon, nil |
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93 } |
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94 |
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95 func (ls lineSegment) Rect(interface{}) ([]float64, []float64) { |
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96 |
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97 var min, max [2]float64 |
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98 |
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99 if ls[0] < ls[2] { |
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100 min[0] = ls[0] |
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101 max[0] = ls[2] |
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102 } else { |
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103 min[0] = ls[2] |
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104 max[0] = ls[0] |
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105 } |
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106 |
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107 if ls[1] < ls[3] { |
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108 min[1] = ls[1] |
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109 max[1] = ls[3] |
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110 } else { |
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111 min[1] = ls[3] |
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112 max[1] = ls[1] |
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113 } |
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114 |
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115 return min[:], max[:] |
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116 } |
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117 |
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118 func (p *Polygon) Indexify() { |
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119 indices := make([]*rtree.RTree, len(p.rings)) |
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120 |
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121 for i := range indices { |
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122 index := rtree.New(nil) |
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123 indices[i] = index |
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124 |
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125 rng := p.rings[i] |
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126 |
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127 for i := 0; i < len(rng); i += 2 { |
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128 var ls lineSegment |
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129 if i+4 <= len(rng) { |
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130 ls = lineSegment(rng[i : i+4]) |
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131 } else { |
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132 ls = []float64{rng[i], rng[i+1], rng[0], rng[1]} |
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133 } |
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134 index.Insert(ls) |
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135 } |
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136 } |
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137 |
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138 p.indices = indices |
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139 } |
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140 |
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141 func (ls lineSegment) intersects(a Box2D) bool { |
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142 p1x := ls[0] |
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143 p1y := ls[1] |
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144 p2x := ls[2] |
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145 p2y := ls[3] |
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146 |
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147 left := a.X1 |
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148 right := a.X2 |
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149 top := a.Y1 |
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150 bottom := a.Y2 |
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151 |
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152 // The direction of the ray |
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153 dx := p2x - p1x |
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154 dy := p2y - p1y |
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155 |
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156 min, max := 0.0, 1.0 |
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157 |
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158 var t0, t1 float64 |
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159 |
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160 // Left and right sides. |
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161 // - If the line is parallel to the y axis. |
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162 if dx == 0 { |
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163 if p1x < left || p1x > right { |
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164 return false |
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165 } |
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166 } else { |
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167 // - Make sure t0 holds the smaller value by checking the direction of the line. |
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168 if dx > 0 { |
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169 t0 = (left - p1x) / dx |
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170 t1 = (right - p1x) / dx |
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171 } else { |
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172 t1 = (left - p1x) / dx |
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173 t0 = (right - p1x) / dx |
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174 } |
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175 |
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176 if t0 > min { |
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177 min = t0 |
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178 } |
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179 if t1 < max { |
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180 max = t1 |
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181 } |
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182 if min > max || max < 0 { |
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183 return false |
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184 } |
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185 } |
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186 |
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187 // The top and bottom side. |
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188 // - If the line is parallel to the x axis. |
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189 if dy == 0 { |
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190 if p1y < top || p1y > bottom { |
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191 return false |
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192 } |
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193 } else { |
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194 // - Make sure t0 holds the smaller value by checking the direction of the line. |
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195 if dy > 0 { |
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196 t0 = (top - p1y) / dy |
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197 t1 = (bottom - p1y) / dy |
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198 } else { |
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199 t1 = (top - p1y) / dy |
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200 t0 = (bottom - p1y) / dy |
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201 } |
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202 |
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203 if t0 > min { |
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204 min = t0 |
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205 } |
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206 if t1 < max { |
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207 max = t1 |
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208 } |
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209 if min > max || max < 0 { |
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210 return false |
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211 } |
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212 } |
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213 |
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214 // The point of intersection |
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215 // ix = p1x + dx*min |
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216 // iy = p1y + dy*min |
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217 return true |
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218 } |
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219 |
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220 func (ls lineSegment) intersectsLineSegment(o lineSegment) bool { |
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221 |
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222 p0 := ls[:2] |
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223 p1 := ls[2:4] |
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224 p2 := o[:2] |
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225 p3 := o[2:4] |
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226 |
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227 s10x := p1[0] - p0[0] |
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228 s10y := p1[1] - p0[1] |
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229 s32x := p3[0] - p2[0] |
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230 s32y := p3[1] - p2[1] |
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231 |
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232 den := s10x*s32y - s32x*s10y |
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233 |
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234 if den == 0 { |
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235 return false |
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236 } |
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237 |
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238 denPos := den > 0 |
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239 |
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240 s02x := p0[0] - p2[0] |
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241 s02y := p0[1] - p2[1] |
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242 |
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243 sNum := s10x*s02y - s10y*s02x |
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244 if sNum < 0 == denPos { |
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245 return false |
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246 } |
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247 |
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248 tNum := s32x*s02y - s32y*s02x |
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249 if tNum < 0 == denPos { |
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250 return false |
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251 } |
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252 |
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253 if sNum > den == denPos || tNum > den == denPos { |
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254 return false |
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255 } |
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256 |
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257 // t := tNum / den |
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258 // intersection at( p0[0] + (t * s10x), p0[1] + (t * s10y) ) |
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259 return true |
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260 } |
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261 |
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262 func (p *Polygon) IntersectionBox2D(box Box2D) IntersectionType { |
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263 |
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264 if len(p.rings) == 0 { |
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265 return IntersectionOutSide |
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266 } |
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267 |
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268 for _, index := range p.indices { |
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269 var intersects bool |
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270 index.Search(box, func(item rtree.Item) bool { |
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271 if item.(lineSegment).intersects(box) { |
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272 intersects = true |
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273 return false |
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274 } |
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275 return true |
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276 }) |
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277 if intersects { |
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278 return IntersectionOverlaps |
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279 } |
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280 } |
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281 |
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282 // No intersection -> check inside or outside |
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283 // if an abritrary point is inside or not. |
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284 point := []float64{box.X1, box.Y1} |
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285 |
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286 // Check holes first: inside a hole means outside. |
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287 if len(p.rings) > 1 { |
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288 for _, hole := range p.rings[1:] { |
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289 if hole.contains(point) { |
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290 return IntersectionOutSide |
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291 } |
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292 } |
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293 } |
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294 |
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295 // Check shell |
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296 if p.rings[0].contains(point) { |
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297 return IntersectionInside |
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298 } |
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299 return IntersectionOutSide |
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300 } |
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301 |
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302 func (p *Polygon) IntersectionWithTriangle(t *Triangle) IntersectionType { |
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303 box := t.BBox() |
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304 for _, index := range p.indices { |
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305 var intersects bool |
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306 index.Search(box, func(item rtree.Item) bool { |
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307 ls := item.(lineSegment) |
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308 other := make(lineSegment, 4) |
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309 for i := range t { |
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310 other[0] = t[i].X |
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311 other[1] = t[i].Y |
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312 other[2] = t[(i+1)%len(t)].X |
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313 other[3] = t[(i+1)%len(t)].Y |
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314 if ls.intersectsLineSegment(other) { |
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315 intersects = true |
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316 return false |
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317 } |
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318 } |
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319 return true |
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320 }) |
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321 if intersects { |
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322 return IntersectionOverlaps |
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323 } |
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324 } |
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325 // No intersection -> check inside or outside |
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326 // if an abritrary point is inside or not. |
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327 point := []float64{t[0].X, t[0].Y} |
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328 |
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329 // Check holes first: inside a hole means outside. |
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330 if len(p.rings) > 1 { |
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331 for _, hole := range p.rings[1:] { |
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332 if hole.contains(point) { |
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333 return IntersectionOutSide |
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334 } |
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335 } |
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336 } |
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337 |
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338 // Check shell |
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339 if p.rings[0].contains(point) { |
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340 return IntersectionInside |
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341 } |
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342 return IntersectionOutSide |
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343 } |
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344 |
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345 func (rng ring) isClosed() bool { return (len(rng) / 2) >= 3 } |
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346 |
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347 func (rng ring) contains(point []float64) bool { |
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348 if !rng.isClosed() { |
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349 return false |
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350 } |
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351 |
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352 end := len(rng)/2 - 1 |
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353 |
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354 contains := intersectsWithRaycast(point, rng[:2], rng[end*2:end*2+2]) |
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355 |
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356 for i := 2; i < len(rng); i += 2 { |
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357 if intersectsWithRaycast(point, rng[i-2:i], rng[i:i+2]) { |
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358 contains = !contains |
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359 } |
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360 } |
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361 |
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362 return contains |
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363 } |
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364 |
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365 // Using the raycast algorithm, this returns whether or not the passed in point |
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366 // Intersects with the edge drawn by the passed in start and end points. |
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367 // Original implementation: http://rosettacode.org/wiki/Ray-casting_algorithm#Go |
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368 func intersectsWithRaycast(point, start, end []float64) bool { |
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369 |
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370 // Always ensure that the the first point |
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371 // has a y coordinate that is less than the second point |
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372 if start[1] > end[1] { |
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373 // Switch the points if otherwise. |
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374 start, end = end, start |
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375 } |
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376 |
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377 // Move the point's y coordinate |
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378 // outside of the bounds of the testing region |
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379 // so we can start drawing a ray |
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380 for point[1] == start[1] || point[1] == end[1] { |
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381 y := math.Nextafter(point[1], math.Inf(1)) |
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382 point = []float64{point[0], y} |
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383 } |
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384 |
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385 // If we are outside of the polygon, indicate so. |
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386 if point[1] < start[1] || point[1] > end[1] { |
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387 return false |
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388 } |
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389 |
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390 if start[0] > end[0] { |
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391 if point[0] > start[0] { |
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392 return false |
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393 } |
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394 if point[0] < end[0] { |
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395 return true |
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396 } |
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397 } else { |
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398 if point[0] > end[0] { |
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399 return false |
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400 } |
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401 if point[0] < start[0] { |
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402 return true |
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403 } |
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404 } |
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405 |
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406 raySlope := (point[1] - start[1]) / (point[0] - start[0]) |
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407 diagSlope := (end[1] - start[1]) / (end[0] - start[0]) |
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408 |
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409 return raySlope >= diagSlope |
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410 } |
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411 |
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412 func (p *Polygon) FromWKB(data []byte) error { |
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413 |
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414 r := bytes.NewReader(data) |
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415 |
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416 endian, err := r.ReadByte() |
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417 |
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418 var order binary.ByteOrder |
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419 |
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420 switch { |
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421 case err != nil: |
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422 return err |
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423 case endian == wkb.NDR: |
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424 order = binary.LittleEndian |
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425 case endian == wkb.XDR: |
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426 order = binary.BigEndian |
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427 default: |
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428 return fmt.Errorf("unknown byte order %x", endian) |
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429 } |
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430 |
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431 var geomType uint32 |
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432 err = binary.Read(r, order, &geomType) |
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433 |
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434 switch { |
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435 case err != nil: |
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436 return err |
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437 case geomType != wkb.Polygon: |
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438 return fmt.Errorf("unknown geometry type %x", geomType) |
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439 } |
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440 |
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441 var numRings uint32 |
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442 if err = binary.Read(r, order, &numRings); err != nil { |
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443 return err |
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444 } |
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445 |
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446 rngs := make([]ring, numRings) |
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447 |
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448 log.Printf("info: Number of rings: %d\n", len(rngs)) |
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449 |
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450 for rng := uint32(0); rng < numRings; rng++ { |
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451 var numVertices uint32 |
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452 if err = binary.Read(r, order, &numVertices); err != nil { |
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453 return err |
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454 } |
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455 |
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456 log.Printf("info: Number of vertices in ring %d: %d\n", rng, numVertices) |
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457 |
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458 numVertices *= 2 |
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459 vertices := make([]float64, numVertices) |
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460 |
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461 for v := uint32(0); v < numVertices; v += 2 { |
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462 var lat, lon uint64 |
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463 if err = binary.Read(r, order, &lat); err != nil { |
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464 return err |
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465 } |
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466 if err = binary.Read(r, order, &lon); err != nil { |
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467 return err |
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468 } |
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469 vertices[v] = math.Float64frombits(lat) |
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470 vertices[v+1] = math.Float64frombits(lon) |
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471 } |
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472 |
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473 rngs[rng] = vertices |
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474 } |
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475 |
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476 p.rings = rngs |
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477 |
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478 return nil |
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479 } |