Mercurial > gemma
annotate cmd/isoareas/algo.go @ 4551:b5b23b6d76f1 iso-areas
Move own algorith to separate file.
author | Sascha L. Teichmann <sascha.teichmann@intevation.de> |
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date | Tue, 01 Oct 2019 11:07:33 +0200 |
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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) 2019 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 main |
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15 |
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16 import ( |
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17 "bufio" |
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18 "container/list" |
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19 "log" |
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20 "math" |
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21 "math/bits" |
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22 "os" |
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23 "runtime" |
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24 "sync" |
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25 |
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26 "gemma.intevation.de/gemma/pkg/octree" |
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27 ) |
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28 |
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29 type indexedArc struct { |
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30 arc int32 |
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31 index int32 |
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32 } |
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33 |
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34 func glue(a, b octree.LineStringZ) octree.LineStringZ { |
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35 |
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36 a1, a2 := a[0], a[len(a)-1] |
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37 b1, b2 := b[0], b[len(b)-1] |
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38 |
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39 if a1.EpsEquals2D(b2) { |
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40 c := make(octree.LineStringZ, len(a)-1+len(b)) |
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41 copy(c, b) |
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42 copy(c[len(b):], a[1:]) |
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43 return c |
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44 } |
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45 |
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46 if a2.EpsEquals2D(b1) { |
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47 c := make(octree.LineStringZ, len(a)-1+len(b)) |
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48 copy(c, a) |
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49 copy(c[len(a):], b[1:]) |
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50 return c |
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51 } |
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52 |
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53 if a1.EpsEquals2D(b1) { |
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54 c := make(octree.LineStringZ, len(a)-1+len(b)) |
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55 copy(c, b) |
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56 c[:len(b)].Reverse() |
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57 copy(c[len(b):], a[1:]) |
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58 return c |
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59 } |
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60 |
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61 if a2.EpsEquals2D(b2) { |
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62 c := make(octree.LineStringZ, len(a)-1+len(b)) |
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63 copy(c, a) |
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64 copy(c[len(a):], b[:len(b)-1]) |
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65 c[len(a):].Reverse() |
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66 return c |
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67 } |
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68 |
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69 return nil |
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70 } |
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71 |
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72 func connectArcs(tri *octree.Triangulation, cuts []indexedArc, arcs *[]octree.LineStringZ) { |
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73 |
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74 unique := map[int32]struct{}{} |
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75 for i := range cuts { |
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76 unique[cuts[i].arc] = struct{}{} |
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77 } |
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78 before := len(unique) |
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79 |
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80 origLen := int32(len(*arcs)) |
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81 |
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82 for i := range cuts { |
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83 if cuts[i].arc >= origLen { |
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84 // already has a connected arc assigned. |
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85 continue |
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86 } |
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87 |
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88 line := (*arcs)[cuts[i].arc] |
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89 |
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90 var modified []int |
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91 visited := map[int32]struct{}{} |
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92 |
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93 var recursive func(int32) |
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94 recursive = func(idx int32) { |
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95 visited[idx] = struct{}{} |
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96 |
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97 ns := neighbors(tri, idx) |
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98 for _, n := range ns { |
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99 n /= 3 |
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100 if _, already := visited[n]; already { |
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101 continue |
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102 } |
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103 |
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104 arcIdx := findArc(n, cuts) |
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105 if arcIdx == -1 { |
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106 continue |
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107 } |
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108 arc := cuts[arcIdx].arc |
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109 if arc >= origLen { |
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110 // already a new arc. |
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111 continue |
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112 } |
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113 oline := (*arcs)[arc] |
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114 |
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115 nline := glue(line, oline) |
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116 if nline == nil { |
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117 // not joinable |
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118 continue |
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119 } |
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120 line = nline |
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121 modified = append(modified, arcIdx) |
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122 recursive(cuts[arcIdx].index) |
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123 } |
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124 } |
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125 recursive(cuts[i].index) |
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126 if len(modified) > 0 { |
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127 // alloc a new line an fix the references. |
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128 nidx := int32(len(*arcs)) |
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129 *arcs = append(*arcs, line) |
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130 cuts[i].arc = nidx |
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131 for _, j := range modified { |
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132 cuts[j].arc = nidx |
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133 } |
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134 } |
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135 } |
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136 |
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137 unique = map[int32]struct{}{} |
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138 for i := range cuts { |
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139 unique[cuts[i].arc] = struct{}{} |
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140 } |
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141 log.Printf("unique arcs: before: %d after %d\n", |
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142 before, len(unique)) |
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143 } |
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144 |
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145 func intersectTriangles( |
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146 tri *octree.Triangulation, |
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147 heights []float64, |
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148 min, max octree.Vertex, |
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149 ) [][]octree.LineStringZ { |
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150 |
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151 cuts := make([][]indexedArc, len(heights)) |
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152 |
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153 classes := make([][]int32, len(heights)+1) |
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154 |
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155 var arcs []octree.LineStringZ |
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156 |
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157 all: |
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158 for i := int32(0); i < int32(len(tri.Triangles)); i += 3 { |
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159 ti := tri.Triangles[i : i+3] |
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160 v0 := tri.Points[ti[0]] |
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161 v1 := tri.Points[ti[1]] |
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162 v2 := tri.Points[ti[2]] |
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163 min := math.Min(v0.Z, math.Min(v1.Z, v2.Z)) |
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164 |
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165 if min > heights[len(heights)-1] { |
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166 classes[len(classes)-1] = append(classes[len(classes)-1], i/3) |
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167 continue |
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168 } |
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169 max := math.Max(v0.Z, math.Max(v1.Z, v2.Z)) |
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170 |
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171 for j, h := range heights { |
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172 |
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173 var l float64 |
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174 if j > 0 { |
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175 l = heights[j-1] |
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176 } else { |
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177 l = -math.MaxFloat64 |
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178 } |
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179 |
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180 if l < min && max < h { |
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181 classes[j] = append(classes[j], i/3) |
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182 continue all |
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183 } |
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184 if min > h || max < h { |
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185 continue |
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186 } |
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187 t := octree.Triangle{v0, v1, v2} |
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188 cut := t.IntersectHorizontal(h) |
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189 if len(cut) >= 2 { |
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190 arc := int32(len(arcs)) |
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191 arcs = append(arcs, cut) |
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192 cuts[j] = append(cuts[j], indexedArc{arc: arc, index: i / 3}) |
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193 } |
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194 } |
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195 } |
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196 |
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197 // connect the arcs in a cut list to longer arcs. |
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198 |
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199 for _, c := range cuts { |
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200 connectArcs(tri, c, &arcs) |
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201 } |
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202 |
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203 func() { |
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204 out, err := os.Create("arcs.svg") |
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205 if err != nil { |
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206 log.Printf("err: %v\n", err) |
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207 return |
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208 } |
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209 defer func() { |
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210 out.Close() |
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211 log.Println("writing arcs done") |
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212 }() |
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213 |
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214 buf := bufio.NewWriter(out) |
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215 |
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216 dumpArcsSVG( |
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217 buf, |
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218 min, max, |
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219 cuts, |
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220 arcs) |
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221 buf.Flush() |
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222 }() |
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223 |
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224 result := make([][]octree.LineStringZ, len(classes)) |
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225 |
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226 jobs := make(chan int) |
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227 |
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228 var wg sync.WaitGroup |
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229 |
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230 worker := func() { |
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231 defer wg.Done() |
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232 |
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233 pb := polygonBuilder{open: list.New()} |
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234 |
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235 for i := range jobs { |
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236 usedArcs := map[int32]struct{}{} |
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237 var dupes int |
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238 var isolated, inside, found int |
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239 c := classes[i] |
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240 |
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241 allInClass: |
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242 for _, idx := range c { |
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243 ns := neighbors(tri, idx) |
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244 mask := where(ns, c) |
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245 switch bits.OnesCount8(mask) { |
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246 case 3: |
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247 // Totally insides do not contribute to the geometries. |
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248 inside++ |
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249 continue allInClass |
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250 case 0: |
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251 // Isolated are areas w/o connections to the rest. |
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252 isolated++ |
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253 ti := tri.Triangles[idx*3 : idx*3+3] |
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254 pb.addTriangle( |
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255 tri.Points[ti[0]], |
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256 tri.Points[ti[1]], |
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257 tri.Points[ti[2]]) |
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258 continue allInClass |
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259 default: |
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260 ti := tri.Triangles[idx*3 : idx*3+3] |
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261 for j := 0; j < 3; j++ { |
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262 if (mask & (1 << j)) == 0 { |
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263 |
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264 var curr octree.LineStringZ |
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265 |
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266 for l := i - 1; l <= i; l++ { |
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267 if l < 0 || l >= len(cuts) { |
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268 continue |
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269 } |
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270 arcIdx := findArc(ns[j]/3, cuts[l]) |
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271 if arcIdx == -1 { |
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272 continue |
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273 } |
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274 found++ |
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275 aIdx := cuts[l][arcIdx].arc |
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276 if _, already := usedArcs[aIdx]; already { |
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277 dupes++ |
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278 continue |
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279 } |
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280 usedArcs[aIdx] = struct{}{} |
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281 |
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282 curr = arcs[aIdx] |
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283 break |
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284 } |
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285 |
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286 if curr == nil { |
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287 k := (j + 1) % 3 |
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288 front := tri.Points[ti[j]] |
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289 back := tri.Points[ti[k]] |
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290 curr = octree.LineStringZ{front, back} |
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291 } |
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292 |
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293 segment: |
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294 for e := pb.open.Front(); e != nil; e = e.Next() { |
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295 line := e.Value.(octree.LineStringZ) |
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296 if nline := glue(curr, line); nline != nil { |
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297 curr = nline |
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298 pb.open.Remove(e) |
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299 goto segment |
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300 } |
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301 } // all open |
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302 |
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303 // check if closed |
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304 if curr[0].EpsEquals2D(curr[len(curr)-1]) { |
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305 if !curr.CCW() { |
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306 curr.Reverse() |
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307 } |
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308 pb.polygons = append(pb.polygons, curr) |
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309 } else { |
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310 pb.open.PushFront(curr) |
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311 } |
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312 } // for all border parts |
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|
313 } |
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|
314 } |
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|
315 } |
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316 |
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317 log.Printf("\t%d: inside: %d / isolated: %d open: %d closed: %d dupes: %d found: %d\n", |
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318 i, inside, isolated, pb.open.Len(), len(pb.polygons), dupes, found) |
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319 /* |
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320 for e := pb.open.Front(); e != nil; e = e.Next() { |
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321 line := e.Value.(octree.LineStringZ) |
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322 if !line.CCW() { |
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323 line.Reverse() |
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324 } |
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325 pb.polygons = append(pb.polygons, line) |
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326 } |
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|
327 */ |
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|
328 |
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329 result[i] = pb.polygons |
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330 pb.reset() |
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|
331 } |
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|
332 } |
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|
333 |
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334 for n := runtime.NumCPU(); n >= 0; n-- { |
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335 wg.Add(1) |
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336 go worker() |
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337 } |
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|
338 |
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339 log.Println("inside classes:") |
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340 for i := range classes { |
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341 jobs <- i |
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342 } |
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343 close(jobs) |
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344 |
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345 wg.Wait() |
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346 |
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347 log.Println("cuts:") |
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348 for i, c := range cuts { |
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349 log.Printf("\t%.3f: %d\n", heights[i], len(c)) |
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350 } |
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|
351 |
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352 return result |
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353 |
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354 // TODO: sew segments together. |
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355 |
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356 } |
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357 |
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358 type polygonBuilder struct { |
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359 polygons []octree.LineStringZ |
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360 |
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361 open *list.List |
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362 } |
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363 |
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364 func (pb *polygonBuilder) addTriangle(v0, v1, v2 octree.Vertex) { |
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365 polygon := octree.LineStringZ{v0, v1, v2, v0} |
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366 pb.polygons = append(pb.polygons, polygon) |
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367 } |
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368 |
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369 func (pb *polygonBuilder) reset() { |
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370 pb.polygons = pb.polygons[:0] |
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371 pb.open.Init() |
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372 } |
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373 |
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374 func neighbors(t *octree.Triangulation, idx int32) []int32 { |
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375 idx *= 3 |
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376 return t.Halfedges[idx : idx+3] |
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377 } |
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378 |
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379 func findArc(needle int32, haystack []indexedArc) int { |
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380 lo, hi := 0, len(haystack)-1 |
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381 for lo <= hi { |
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382 mid := (hi-lo)/2 + lo |
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383 switch v := haystack[mid].index; { |
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384 case v < needle: |
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385 lo = mid + 1 |
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386 case v > needle: |
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387 hi = mid - 1 |
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388 default: |
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389 return mid |
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390 } |
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391 } |
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392 return -1 |
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393 } |
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394 |
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395 func contains(needle int32, haystack []int32) bool { |
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396 lo, hi := 0, len(haystack)-1 |
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397 for lo <= hi { |
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398 mid := (hi-lo)/2 + lo |
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399 switch v := haystack[mid]; { |
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400 case v < needle: |
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401 lo = mid + 1 |
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402 case v > needle: |
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403 hi = mid - 1 |
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404 default: |
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405 return true |
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406 } |
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407 } |
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408 return false |
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409 } |
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410 |
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411 func where(neighbors, indices []int32) byte { |
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412 var mask byte |
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413 for i, n := range neighbors { |
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414 if n >= 0 && contains(n/3, indices) { |
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415 mask |= 1 << i |
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416 } |
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417 } |
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418 return mask |
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419 } |