1 | using HeuristicLab.Common;
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2 | using HeuristicLab.Problems.BinPacking3D.Geometry;
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3 | using HeuristicLab.Problems.BinPacking3D.ResidualSpaceCalculation;
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4 | using System;
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5 | using System.Collections.Generic;
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6 | using System.Linq;
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7 | using System.Text;
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8 | using System.Threading.Tasks;
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9 |
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10 | namespace HeuristicLab.Problems.BinPacking3D.ExtremePointCreation {
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11 | /// <summary>
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12 | /// This extreme point creation class uses the line projection based method for creating extreme points.
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13 | /// This projection method enhances the point based projection method by creating extra extreme points on the intersection points of two items.
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14 | /// </summary>
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15 | public class LineProjectionBasedEPCreator : ExtremePointCreator {
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16 |
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17 |
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18 |
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19 |
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20 | protected override void UpdateExtremePoints(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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21 | // After a item has been placed, the residual space has to be recalculated.
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22 | //RecalculateResidualSpaces(binPacking);
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23 |
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24 | //GenerateNewExtremePointsForItem(binPacking, item, position);
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25 |
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26 | binPacking.ExtremePoints.Clear();
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27 | binPacking.ResidualSpaces.Clear();
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28 |
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29 | foreach (var i in binPacking.Items) {
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30 | PackingItem it = i.Value;
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31 | PackingPosition p = binPacking.Positions[i.Key];
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32 | GenerateNewExtremePointsForItem(binPacking, it, p);
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33 | }
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34 | //RecalculateResidualSpaces(binPacking);
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35 | }
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36 |
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37 | /// <summary>
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38 | /// Adds an new extreme point an the related residual space to a given bin packing.
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39 | /// - The given position has to be valid
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40 | /// - The residual space must not be zero
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41 | /// </summary>
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42 | /// <param name="binPacking"></param>
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43 | /// <param name="position"></param>
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44 | /// <returns></returns>
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45 | protected override bool AddExtremePoint(BinPacking3D binPacking, PackingPosition position) {
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46 | if (position == null) {
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47 | return false;
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48 | }
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49 |
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50 | if (PointIsInItem(binPacking, new Vector3D(position))) {
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51 | return false;
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52 | }
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53 |
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54 | var rs = CalculateResidualSpace(binPacking, new Vector3D(position));
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55 |
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56 | if (rs.IsZero()) {
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57 | return false;
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58 | }
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59 |
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60 | if (!binPacking.ExtremePoints.Add(position)) {
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61 | return false;
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62 | }
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63 |
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64 | binPacking.ResidualSpaces.Add(position, rs);
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65 | return true;
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66 | }
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67 |
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68 | /// <summary>
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69 | /// Getnerates the extreme points for a given item.
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70 | /// It creates extreme points by using a point projection based method and
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71 | /// creates points by using an edge projection based method.
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72 | /// </summary>
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73 | /// <param name="binPacking"></param>
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74 | /// <param name="newItem"></param>
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75 | /// <param name="position"></param>
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76 | protected override void GenerateNewExtremePointsForItem(BinPacking3D binPacking, PackingItem newItem, PackingPosition position) {
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77 | PointProjectionForNewItem(binPacking, newItem, position);
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78 | EdgeProjectionForNewItem(binPacking, newItem, position);
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79 | }
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80 |
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81 | #region Extreme point creation by using a point projection based method
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82 |
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83 | /// <summary>
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84 | /// This method creates extreme points by using a point projection based method.
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85 | /// For each item there will be three points created and each of the point will be projected twice.
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86 | /// The direction of the projection depends on position of the point.
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87 | /// </summary>
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88 | /// <param name="binPacking"></param>
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89 | /// <param name="newItem"></param>
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90 | /// <param name="position"></param>
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91 | private void PointProjectionForNewItem(BinPacking3D binPacking, PackingItem newItem, PackingPosition position) {
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92 | int newWidth = position.Rotated ? newItem.Depth : newItem.Width;
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93 | int newDepth = position.Rotated ? newItem.Width : newItem.Depth;
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94 | var binShape = binPacking.BinShape;
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95 | var sourcePoint = new PackingPosition(position.AssignedBin, position.X + newWidth, position.Y, position.Z);
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96 | PointProjection(binPacking, sourcePoint, ProjectDown);
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97 | PointProjection(binPacking, sourcePoint, ProjectBackward);
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98 |
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99 | sourcePoint = new PackingPosition(position.AssignedBin, position.X, position.Y + newItem.Height, position.Z);
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100 | PointProjection(binPacking, sourcePoint, ProjectLeft);
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101 | PointProjection(binPacking, sourcePoint, ProjectBackward);
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102 |
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103 | sourcePoint = new PackingPosition(position.AssignedBin, position.X, position.Y, position.Z + newDepth);
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104 | PointProjection(binPacking, sourcePoint, ProjectDown);
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105 | PointProjection(binPacking, sourcePoint, ProjectLeft);
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106 | }
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107 |
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108 |
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109 | /// <summary>
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110 | /// Projects a given point by using the given projection method to the neares item.
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111 | /// The given projection method returns a point which lies on a side of the nearest item in the direction.
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112 | /// </summary>
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113 | /// <param name="binPacking"></param>
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114 | /// <param name="position"></param>
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115 | /// <param name="projectionMethod"></param>
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116 | private void PointProjection(BinPacking3D binPacking, PackingPosition position, Func<BinPacking3D, Vector3D, Vector3D> projectionMethod) {
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117 | Vector3D sourcePoint = new Vector3D(position);
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118 | if (sourcePoint.X < binPacking.BinShape.Width && sourcePoint.Y < binPacking.BinShape.Height && sourcePoint.Z < binPacking.BinShape.Depth) {
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119 | Vector3D point = projectionMethod?.Invoke(binPacking, sourcePoint);
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120 | AddExtremePoint(binPacking, new PackingPosition(position.AssignedBin, point.X, point.Y, point.Z));
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121 | }
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122 | }
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123 | #endregion
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124 |
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125 | #region Extreme point creation by using an edge projection based method
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126 |
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127 | /// <summary>
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128 | /// This method creates extreme points be projecting the edges of a given item
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129 | /// - left
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130 | /// - back
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131 | /// - down.
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132 | /// A extreme point will be created, if an edge instersects with an edge of another item.
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133 | /// </summary>
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134 | /// <param name="binPacking"></param>
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135 | /// <param name="newItem"></param>
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136 | /// <param name="position"></param>
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137 | private void EdgeProjectionForNewItem(BinPacking3D binPacking, PackingItem newItem, PackingPosition position) {
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138 | int newWidth = position.Rotated ? newItem.Depth : newItem.Width;
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139 | int newDepth = position.Rotated ? newItem.Width : newItem.Depth;
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140 | var binShape = binPacking.BinShape;
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141 |
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142 | foreach (var ep in GetEpsOnLeft(binPacking, newItem, position)) {
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143 | AddExtremePoint(binPacking, ep);
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144 | }
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145 |
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146 | foreach (var ep in GetEpsBelow(binPacking, newItem, position)) {
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147 | AddExtremePoint(binPacking, ep);
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148 | }
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149 |
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150 | foreach (var ep in GetEpsBehind(binPacking, newItem, position)) {
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151 | AddExtremePoint(binPacking, ep);
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152 | }
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153 | }
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154 | #endregion
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155 |
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156 |
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157 | protected override void UpdateResidualSpace(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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158 | return;
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159 | }
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160 |
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161 | private bool PointIsInItem(BinPacking3D binPacking, Vector3D point) {
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162 | foreach (var item in binPacking.Items) {
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163 | PackingPosition position = binPacking.Positions[item.Key];
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164 | var depth = position.Rotated ? item.Value.Width : item.Value.Depth;
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165 | var width = position.Rotated ? item.Value.Depth : item.Value.Width;
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166 | if (position.X <= point.X && point.X < position.X + width &&
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167 | position.Y <= point.Y && point.Y < position.Y + item.Value.Height &&
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168 | position.Z <= point.Z && point.Z < position.Z + depth) {
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169 | return true;
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170 | }
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171 | }
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172 | return false;
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173 | }
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174 |
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175 | /// <summary>
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176 | /// Returns true if an item is in the residual space of a given extrem point
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177 | /// </summary>
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178 | /// <param name="rs">KeyValuePair with the position of the extreme point and the size of the residual space</param>
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179 | /// <param name="item">Given Item</param>
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180 | /// <param name="position">Given position</param>
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181 | /// <returns></returns>
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182 | private bool ItemIsInRs(KeyValuePair<PackingPosition, ResidualSpace> rs, PackingItem item, PackingPosition position) {
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183 | return GetVertices(item, position).Where(pos => pos.IsInside(rs.Key, rs.Value)).Any();
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184 | }
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185 |
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186 | /// <summary>
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187 | /// Recalculates the residual spaces if needed.
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188 | /// It checks if an item is in an residual space and if so the residual space will be recalculated.
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189 | /// If the residual space has gone to zero, this residual space and its related extreme point will be removed.
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190 | /// </summary>
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191 | /// <param name="binPacking"></param>
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192 | private void RecalculateResidualSpaces(BinPacking3D binPacking) {
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193 | var recalculatedSpaces = new Dictionary<PackingPosition, ResidualSpace>();
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194 | foreach (var ep in binPacking.ExtremePoints.ToList()) {
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195 | var newRs = CalculateResidualSpace(binPacking, new Vector3D(ep));
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196 | if (!newRs.IsZero() && !PointIsInItem(binPacking, new Vector3D(ep))) {
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197 | recalculatedSpaces.Add(ep, newRs);
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198 | } else {
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199 | binPacking.ExtremePoints.Remove(ep);
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200 | }
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201 | }
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202 | binPacking.ResidualSpaces = recalculatedSpaces;
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203 | }
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204 |
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205 | protected IEnumerable<Tuple<PackingPosition, PackingItem>> GetItemsBelow(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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206 | return binPacking.Items.Select(x => new {
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207 | Item = x.Value,
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208 | Position = binPacking.Positions[x.Key]
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209 | }).Where(x => x.Position.Y < position.Y)
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210 | .Select(x => Tuple.Create(x.Position, x.Item));
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211 | }
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212 |
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213 | protected IEnumerable<Tuple<PackingPosition, PackingItem>> GetItemsBehind(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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214 | return binPacking.Items.Select(x => new {
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215 | Item = x.Value,
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216 | Position = binPacking.Positions[x.Key]
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217 | }).Where(x => x.Position.Z < position.Z)
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218 | .Select(x => Tuple.Create(x.Position, x.Item));
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219 | }
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220 |
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221 | protected IEnumerable<Tuple<PackingPosition, PackingItem>> GetItemsOnLeft(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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222 | return binPacking.Items.Select(x => new {
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223 | Item = x.Value,
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224 | Position = binPacking.Positions[x.Key]
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225 | }).Where(x => x.Position.X < position.X)
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226 | .Select(x => Tuple.Create(x.Position, x.Item));
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227 | }
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228 |
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229 | /// <summary>
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230 | /// Returns the extremepoints on the left side of an given item
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231 | /// </summary>
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232 | /// <param name="item"></param>
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233 | /// <param name="position"></param>
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234 | /// <returns></returns>
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235 | private IList<PackingPosition> GetEpsOnLeft(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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236 | IList<PackingPosition> eps = new List<PackingPosition>();
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237 | IEnumerable<Tuple<PackingPosition, PackingItem>> items = GetItemsOnLeft(binPacking, item, position);
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238 | var edges = GetProjectionEdgesOnLeft(item, position);
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239 |
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240 | foreach (var otherItem in items) {
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241 | var otherItemEdges = GetEdgesOnRight(otherItem.Item2, otherItem.Item1);
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242 | foreach (var ep in IntersectionsForItem(edges[0], otherItemEdges, new Vector3D(1, 0, 0))) {
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243 | if (ep.X < binPacking.BinShape.Width && ep.Y < binPacking.BinShape.Height && ep.Z < binPacking.BinShape.Depth) {
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244 | var point = ProjectDown(binPacking, ProjectLeft(binPacking, ep));
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245 | var residualSpace = CalculateResidualSpace(binPacking, point);
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246 | if (!residualSpace.IsZero()) {
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247 | eps.Add(point.ToPackingPosition(position.AssignedBin));
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248 | }
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249 | }
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250 | }
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251 | foreach (var ep in IntersectionsForItem(edges[1], otherItemEdges, new Vector3D(1, 0, 0))) {
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252 | if (ep.X < binPacking.BinShape.Width && ep.Y < binPacking.BinShape.Height && ep.Z < binPacking.BinShape.Depth) {
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253 | var point = ProjectLeft(binPacking, ep);
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254 | var residualSpace = CalculateResidualSpace(binPacking, point);
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255 | if (!residualSpace.IsZero()) {
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256 | eps.Add(point.ToPackingPosition(position.AssignedBin));
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257 | }
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258 | }
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259 | }
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260 | }
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261 | return eps;
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262 | }
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263 |
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264 |
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265 | /// <summary>
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266 | /// Returns the extremepoints below of an given item
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267 | /// </summary>
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268 | /// <param name="item"></param>
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269 | /// <param name="position"></param>
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270 | /// <returns></returns>
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271 | private IList<PackingPosition> GetEpsBelow(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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272 | IList<PackingPosition> eps = new List<PackingPosition>();
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273 | IEnumerable<Tuple<PackingPosition, PackingItem>> items = GetItemsBelow(binPacking, position);
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274 | var edges = GetProjectionEdgesBelow(item, position);
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275 |
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276 | foreach (var otherItem in items) {
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277 | var otherItemEdges = GetEdgesOnTop(otherItem.Item2, otherItem.Item1);
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278 | foreach (var ep in IntersectionsForItem(edges[0], otherItemEdges, new Vector3D(0, 1, 0))) {
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279 | if (ep.X < binPacking.BinShape.Width && ep.Y < binPacking.BinShape.Height && ep.Z < binPacking.BinShape.Depth) {
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280 | var point = ProjectDown(binPacking, ep);
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281 | var residualSpace = CalculateResidualSpace(binPacking, point);
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282 | if (!residualSpace.IsZero()) {
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283 | eps.Add(point.ToPackingPosition(position.AssignedBin));
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284 | }
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285 | }
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286 | }
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287 | foreach (var ep in IntersectionsForItem(edges[1], otherItemEdges, new Vector3D(0, 1, 0))) {
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288 | if (ep.X < binPacking.BinShape.Width && ep.Y < binPacking.BinShape.Height && ep.Z < binPacking.BinShape.Depth) {
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289 | var point = ProjectDown(binPacking, ep);
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290 | var residualSpace = CalculateResidualSpace(binPacking, point);
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291 | if (!residualSpace.IsZero()) {
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292 | eps.Add(point.ToPackingPosition(position.AssignedBin));
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293 | }
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294 | }
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295 | }
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296 | }
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297 | return eps;
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298 | }
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299 |
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300 | /// <summary>
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301 | /// Returns
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302 | /// </summary>
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303 | /// <param name="item"></param>
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304 | /// <param name="position"></param>
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305 | /// <returns></returns>
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306 | private IList<PackingPosition> GetEpsBehind(BinPacking3D binPacking, PackingItem item, PackingPosition position) {
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307 | IList<PackingPosition> eps = new List<PackingPosition>();
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308 | IEnumerable<Tuple<PackingPosition, PackingItem>> items = GetItemsBehind(binPacking, position);
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309 | var edges = GetProjectionEdgesBehind(item, position);
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310 |
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311 | foreach (var otherItem in items) {
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312 | var otherItemEdges = GetEdgesInFront(otherItem.Item2, otherItem.Item1);
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313 | foreach (var ep in IntersectionsForItem(edges[0], otherItemEdges, new Vector3D(0, 0, 1))) {
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314 | if (ep.X < binPacking.BinShape.Width && ep.Y < binPacking.BinShape.Height && ep.Z < binPacking.BinShape.Depth) {
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315 | var point = ProjectDown(binPacking, ProjectBackward(binPacking, ep));
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316 | var residualSpace = CalculateResidualSpace(binPacking, point);
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317 | if (!residualSpace.IsZero()) {
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318 | eps.Add(point.ToPackingPosition(position.AssignedBin));
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319 | }
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320 | }
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321 | }
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322 | foreach (var ep in IntersectionsForItem(edges[1], otherItemEdges, new Vector3D(0, 0, 1))) {
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323 | if (ep.X < binPacking.BinShape.Width && ep.Y < binPacking.BinShape.Height && ep.Z < binPacking.BinShape.Depth) {
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324 | var point = ProjectBackward(binPacking, ep);
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325 | var residualSpace = CalculateResidualSpace(binPacking, point);
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326 | if (!residualSpace.IsZero()) {
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327 | eps.Add(point.ToPackingPosition(position.AssignedBin));
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328 | }
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329 | }
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330 | }
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331 | }
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332 | return eps;
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333 | }
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334 |
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335 | #region Methods for getting the edges for items
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336 |
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337 | /// <summary>
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338 | /// Returns an array of packing position which represents the vertices of an item.
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339 | /// The position of a vertex in the array is mapped to an item as followed:
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340 | /// 4----------5
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341 | /// /| /|
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342 | /// / | / |
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343 | /// / 0-------/--1
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344 | /// 6--/-------7 /
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345 | /// | / | /
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346 | /// |/ |/
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347 | /// 2----------3
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348 | ///
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349 | /// 0 = (0,0,0)
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350 | /// </summary>
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351 | /// <param name="item"></param>
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352 | /// <param name="position"></param>
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353 | /// <returns></returns>
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354 | private Vector3D[] GetVertices(PackingItem item, PackingPosition position) {
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355 | int width = position.Rotated ? item.Depth : item.Width;
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356 | int depth = position.Rotated ? item.Width : item.Depth;
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357 | return new Vector3D[] {
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358 | new Vector3D(position.X + 0, position.Y + 0, position.Z + 0), // (0,0,0)
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359 | new Vector3D(position.X + width, position.Y + 0, position.Z + 0), // (x,0,0)
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360 | new Vector3D(position.X + 0, position.Y + 0, position.Z + depth), // (0,0,z)
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361 | new Vector3D(position.X + width, position.Y + 0, position.Z + depth), // (x,0,z)
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362 |
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363 | new Vector3D(position.X + 0, position.Y + item.Height, position.Z + 0), // (0,y,0)
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364 | new Vector3D(position.X + width, position.Y + item.Height, position.Z + 0), // (x,y,0)
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365 | new Vector3D(position.X + 0, position.Y + item.Height, position.Z + depth), // (0,y,z)
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366 | new Vector3D(position.X + width, position.Y + item.Height, position.Z + depth), //(x,y,z)
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367 | };
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368 | }
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369 |
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370 | private Edge3D[] GetProjectionEdgesOnLeft(PackingItem item, PackingPosition position) {
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371 | Vector3D[] points = GetVertices(item, position);
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372 |
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373 | return new Edge3D[] {
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374 | new Edge3D(points[2], points[6]),
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375 | new Edge3D(points[6], points[4])
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376 | };
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377 | }
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378 |
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379 | private Edge3D[] GetProjectionEdgesBelow(PackingItem item, PackingPosition position) {
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380 | Vector3D[] points = GetVertices(item, position);
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381 |
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382 | return new Edge3D[] {
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383 | new Edge3D(points[2], points[3]),
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384 | new Edge3D(points[3], points[1])
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385 | };
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386 | }
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387 |
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388 | private Edge3D[] GetProjectionEdgesBehind(PackingItem item, PackingPosition position) {
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389 | Vector3D[] points = GetVertices(item, position);
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390 |
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391 | return new Edge3D[] {
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392 | new Edge3D(points[1], points[5]),
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393 | new Edge3D(points[5], points[4])
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394 | };
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395 | }
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396 |
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397 | /// <summary>
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398 | /// Returns an array of edges which contains all edges of the rigth side of an given item.
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399 | /// </summary>
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400 | /// <param name="item"></param>
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401 | /// <param name="position"></param>
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402 | /// <returns></returns>
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403 | private Edge3D[] GetEdgesOnRight(PackingItem item, PackingPosition position) {
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404 | Vector3D[] points = GetVertices(item, position);
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405 |
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406 | return new Edge3D[] {
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407 | new Edge3D(points[1], points[5]),
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408 | new Edge3D(points[5], points[7]),
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409 | new Edge3D(points[7], points[3]),
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410 | new Edge3D(points[3], points[1])
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411 | };
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412 | }
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413 |
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414 | /// <summary>
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415 | /// Returns an array of edges which contains all edges on the top of an given item.
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416 | /// </summary>
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417 | /// <param name="item"></param>
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418 | /// <param name="position"></param>
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419 | /// <returns></returns>
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420 | private Edge3D[] GetEdgesOnTop(PackingItem item, PackingPosition position) {
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421 | Vector3D[] points = GetVertices(item, position);
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422 |
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423 | return new Edge3D[] {
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424 | new Edge3D(points[4], points[5]),
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425 | new Edge3D(points[5], points[7]),
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426 | new Edge3D(points[7], points[6]),
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427 | new Edge3D(points[6], points[4])
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428 | };
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429 | }
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430 |
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431 | /// <summary>
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432 | /// Returns an array of edges which contains all edges in front of an given item.
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433 | /// </summary>
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434 | /// <param name="item"></param>
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435 | /// <param name="position"></param>
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436 | /// <returns></returns>
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437 | private Edge3D[] GetEdgesInFront(PackingItem item, PackingPosition position) {
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438 | Vector3D[] points = GetVertices(item, position);
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439 |
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440 | return new Edge3D[] {
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441 | new Edge3D(points[2], points[3]),
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442 | new Edge3D(points[3], points[7]),
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443 | new Edge3D(points[7], points[6]),
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444 | new Edge3D(points[6], points[2])
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445 | };
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446 | }
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447 |
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448 | #endregion
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449 |
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450 |
|
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451 | #region Intersections
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452 |
|
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453 | /// <summary>
|
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454 | ///
|
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455 | /// </summary>
|
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456 | /// <param name="projectedEdge"></param>
|
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457 | /// <param name="edges"></param>
|
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458 | /// <returns></returns>
|
---|
459 | private IEnumerable<Vector3D> IntersectionsForItem(Edge3D projectedEdge, Edge3D[] edges, Vector3D direction = null) {
|
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460 | IList<Vector3D> eps = new List<Vector3D>();
|
---|
461 | foreach (var edge in edges) {
|
---|
462 | Edge3D e = projectedEdge;
|
---|
463 | if (direction != null) {
|
---|
464 | if (direction.X != 0) {
|
---|
465 | e.Start.X = edge.Start.X;
|
---|
466 | e.End.X = edge.End.X;
|
---|
467 | } else if (direction.Y != 0) {
|
---|
468 | e.Start.Y = edge.Start.Y;
|
---|
469 | e.End.Y = edge.End.Y;
|
---|
470 | } else if (direction.Z != 0) {
|
---|
471 | e.Start.Z = edge.Start.Z;
|
---|
472 | e.End.Z = edge.End.Z;
|
---|
473 | }
|
---|
474 | }
|
---|
475 |
|
---|
476 | var ep = edge.Intersects(e);
|
---|
477 | if (ep != null) {
|
---|
478 | eps.Add(ep);
|
---|
479 | }
|
---|
480 | }
|
---|
481 | return eps as IEnumerable<Vector3D>;
|
---|
482 | }
|
---|
483 |
|
---|
484 |
|
---|
485 |
|
---|
486 | #endregion
|
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487 |
|
---|
488 |
|
---|
489 | protected override ResidualSpace CalculateResidualSpace(BinPacking3D binPacking, Vector3D pos) {
|
---|
490 | return ResidualSpaceCalculatorFactory.CreateCalculator().CalculateResidualSpaces(binPacking, pos).First();
|
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491 | }
|
---|
492 | }
|
---|
493 |
|
---|
494 |
|
---|
495 | }
|
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