1 | using HeuristicLab.Problems.BinPacking3D.Geometry;
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2 | using System;
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3 | using System.Collections.Generic;
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4 | using System.Linq;
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5 | using System.Text;
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6 | using System.Threading.Tasks;
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7 |
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8 | namespace HeuristicLab.Problems.BinPacking3D.ResidualSpaceCalculation {
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9 | internal class ResidualSpaceCalculator : IResidualSpaceCalculator {
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10 |
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11 | internal ResidualSpaceCalculator() {}
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12 |
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13 | public IEnumerable<ResidualSpace> CalculateResidualSpaces(BinPacking3D binPacking, Vector3D point) {
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14 | IList<ResidualSpace> residualSpaces = new List<ResidualSpace>();
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15 | var rs1 = CalculateXZY(binPacking, point);
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16 | var rs2 = CalculateZYX(binPacking, point);
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17 | var rs3 = CalculateYXZ(binPacking, point);
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18 |
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19 | if (!rs1.IsZero()) {
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20 | residualSpaces.Add(rs1);
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21 | }
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22 |
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23 |
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24 | if (!rs2.IsZero() && !residualSpaces.Any(rs => rs.Equals(rs2))) {
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25 | residualSpaces.Add(rs2);
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26 | }
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27 | if (!rs3.IsZero() && !residualSpaces.Any(rs => rs.Equals(rs3))) {
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28 | residualSpaces.Add(rs3);
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29 | }
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30 | return residualSpaces;
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31 | }
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32 |
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33 | private ResidualSpace CalculateXZY(BinPacking3D binPacking, Vector3D point) {
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34 | ResidualSpace rs = new ResidualSpace(binPacking, point);
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35 |
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36 | LimitResidualSpaceOnRight(binPacking, point, rs);
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37 | LimitResidualSpaceInFront(binPacking, point, rs);
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38 | LimitResidualSpaceAbove(binPacking, point, rs);
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39 | return rs;
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40 | }
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41 |
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42 | private ResidualSpace CalculateZYX(BinPacking3D binPacking, Vector3D point) {
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43 | ResidualSpace rs = new ResidualSpace(binPacking, point);
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44 |
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45 | LimitResidualSpaceInFront(binPacking, point, rs);
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46 | LimitResidualSpaceAbove(binPacking, point, rs);
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47 | LimitResidualSpaceOnRight(binPacking, point, rs);
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48 | return rs;
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49 | }
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50 |
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51 | private ResidualSpace CalculateYXZ(BinPacking3D binPacking, Vector3D point) {
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52 | ResidualSpace rs = new ResidualSpace(binPacking, point);
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53 |
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54 | LimitResidualSpaceAbove(binPacking, point, rs);
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55 | LimitResidualSpaceOnRight(binPacking, point, rs);
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56 | LimitResidualSpaceInFront(binPacking, point, rs);
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57 | return rs;
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58 | }
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59 |
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60 | /// <summary>
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61 | /// Returnst true if a given residual space and item overlaps at the x-axis
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62 | /// </summary>
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63 | /// <param name="point"></param>
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64 | /// <param name="residualSpace"></param>
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65 | /// <param name="position"></param>
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66 | /// <param name="item"></param>
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67 | /// <returns></returns>
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68 | private bool OverlapsX(Vector3D point, ResidualSpace residualSpace, PackingPosition position, PackingItem item) {
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69 | if (point.X > position.X && point.X >= position.X + item.Width) {
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70 | return false;
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71 | }
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72 |
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73 | if (point.X <= position.X && position.X >= point.X + residualSpace.Width) {
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74 | return false;
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75 | }
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76 | return true;
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77 | }
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78 |
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79 | /// <summary>
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80 | /// Returnst true if a given residual space and item overlaps at the y-axis
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81 | /// </summary>
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82 | /// <param name="point"></param>
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83 | /// <param name="residualSpace"></param>
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84 | /// <param name="position"></param>
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85 | /// <param name="item"></param>
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86 | private bool OverlapsY(Vector3D point, ResidualSpace residualSpace, PackingPosition position, PackingItem item) {
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87 | if (point.Y > position.Y && point.Y >= position.Y + item.Height) {
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88 | return false;
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89 | }
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90 |
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91 | if (point.Y <= position.Y && position.Y >= point.Y + residualSpace.Height) {
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92 | return false;
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93 | }
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94 | return true;
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95 | }
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96 |
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97 | /// <summary>
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98 | /// Returnst true if a given residual space and item overlaps at the z-axis
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99 | /// </summary>
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100 | /// <param name="point"></param>
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101 | /// <param name="residualSpace"></param>
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102 | /// <param name="position"></param>
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103 | /// <param name="item"></param>
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104 | private bool OverlapsZ(Vector3D point, ResidualSpace residualSpace, PackingPosition position, PackingItem item) {
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105 | if (point.Z > position.Z && point.Z >= position.Z + item.Depth) {
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106 | return false;
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107 | }
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108 |
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109 | if (point.Z <= position.Z && position.Z >= point.Z + residualSpace.Depth) {
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110 | return false;
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111 | }
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112 | return true;
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113 | }
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114 |
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115 | private bool OverlapsOnRight(Vector3D point, ResidualSpace residualSpace, PackingPosition position, PackingItem item) {
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116 | // if point.x >= position.x, the residual space would be located on the left side!
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117 | if (point.X >= position.X) {
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118 | return false;
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119 | }
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120 | var y = OverlapsY(point, residualSpace, position, item);
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121 | var z = OverlapsZ(point, residualSpace, position, item);
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122 | return y && z;
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123 | }
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124 |
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125 | private bool OverlapsInFront(Vector3D point, ResidualSpace residualSpace, PackingPosition position, PackingItem item) {
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126 | if (point.Z >= position.Z) {
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127 | return false;
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128 | }
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129 | var x = OverlapsX(point, residualSpace, position, item);
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130 | var y = OverlapsY(point, residualSpace, position, item);
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131 |
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132 | return x && y;
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133 | }
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134 |
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135 | private bool OverlapsAbove(Vector3D point, ResidualSpace residualSpace, PackingPosition position, PackingItem item ) {
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136 | if (point.Y >= position.Y) {
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137 | return false;
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138 | }
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139 | var x = OverlapsX(point, residualSpace, position, item);
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140 | var z = OverlapsZ(point, residualSpace, position, item);
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141 |
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142 | return x && z;
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143 | }
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144 |
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145 | private void LimitResidualSpaceOnRight(BinPacking3D binPacking, Vector3D point, ResidualSpace residualSpace) {
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146 | if (residualSpace.IsZero()) {
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147 | return;
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148 | }
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149 |
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150 | var items = binPacking.Items.Select(item => new { Dimension = item.Value, Position = binPacking.Positions[item.Key] })
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151 | .Where(item => OverlapsOnRight(point, residualSpace, item.Position, item.Dimension));
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152 | if (items.Count() > 0) {
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153 | foreach (var item in items) {
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154 | int newWidth = item.Position.X - point.X;
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155 | if (newWidth <= 0) {
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156 | residualSpace.SetZero();
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157 | return;
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158 | } else if (residualSpace.Width > newWidth) {
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159 | residualSpace.Width = newWidth;
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160 | }
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161 | }
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162 | }
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163 | }
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164 |
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165 | private void LimitResidualSpaceInFront(BinPacking3D binPacking, Vector3D point, ResidualSpace residualSpace) {
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166 | if (residualSpace.IsZero()) {
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167 | return;
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168 | }
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169 |
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170 | var items = binPacking.Items.Select(item => new { Dimension = item.Value, Position = binPacking.Positions[item.Key] })
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171 | .Where(item => OverlapsInFront(point, residualSpace, item.Position, item.Dimension));
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172 | if (items.Count() > 0) {
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173 | foreach (var item in items) {
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174 | int newDepth = item.Position.Z - point.Z;
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175 | if (newDepth <= 0) {
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176 | residualSpace.SetZero();
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177 | return;
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178 | } else if (residualSpace.Depth > newDepth) {
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179 | residualSpace.Depth = newDepth;
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180 | }
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181 | }
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182 | }
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183 | }
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184 |
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185 | private void LimitResidualSpaceAbove(BinPacking3D binPacking, Vector3D point, ResidualSpace residualSpace) {
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186 | if (residualSpace.IsZero()) {
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187 | return;
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188 | }
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189 |
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190 | var items = binPacking.Items.Select(item => new { Dimension = item.Value, Position = binPacking.Positions[item.Key] })
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191 | .Where(item => OverlapsAbove(point, residualSpace, item.Position, item.Dimension));
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192 | if (items.Count() > 0) {
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193 | foreach (var item in items) {
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194 | int newHeight = item.Position.Y - point.Y;
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195 | if (newHeight <= 0) {
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196 | residualSpace.SetZero();
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197 | return;
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198 | } else if (residualSpace.Height > newHeight) {
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199 | residualSpace.Height = newHeight;
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200 | }
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201 | }
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202 | }
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203 | }
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204 | }
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205 | }
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