1 | // This file is a part of the Framsticks GDK. |
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2 | // Copyright (C) 1999-2014 Maciej Komosinski and Szymon Ulatowski. See LICENSE.txt for details. |
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3 | // Refer to http://www.framsticks.com/ for further information. |
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4 | |
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5 | #ifndef _GEOMETRYUTILS_H_ |
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6 | #define _GEOMETRYUTILS_H_ |
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7 | |
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8 | #include <frams/model/model.h> |
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9 | #include <frams/model/modelparts.h> |
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10 | #include <frams/util/3d.h> |
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11 | #include <frams/util/list.h> |
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12 | |
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13 | |
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14 | /*Binary literals like 0b010 are standardized only in C++14. We use macros as they are compatible with older compilers too. |
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15 | |
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16 | 3-bit numbers are used when iterating through octants in a 3D space. Example: when creating points that cover the surface |
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17 | of an ellipsoid, the points are only created for the positive octant (x, y, and z coordinates are positive). Points in |
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18 | the remaining 7 octants are created by reflecting points from the positive octant through the appropriate planes defined by |
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19 | pairs of axes. |
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20 | |
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21 | 2-bit numbers are used for 2D. Example: cylinders are aligned along the x axis so that both bases are parallel to |
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22 | the yz plane. When points are created along the edge of the base (these will be used later to create points along the side |
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23 | of the cylinder), only y and z axes are important, so quadrants of the 2D are sufficient. Just as in the 3D example above, |
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24 | only points for the positive quadrant, QuadrantYZ, are created, and points of the remaining quadrants are created by reflection. |
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25 | QuadrantXY and QuadrantZX enumerations are never used and are provided only for completeness. |
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26 | */ |
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27 | #define b000 0 |
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28 | #define b01 1 |
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29 | #define b001 1 |
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30 | #define b10 2 |
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31 | #define b010 2 |
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32 | #define b100 4 |
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33 | #define b110 6 |
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34 | |
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35 | |
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36 | |
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37 | namespace CuboidFaces |
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38 | { |
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39 | enum Face |
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40 | { |
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41 | NEGATIVE_X = 0, |
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42 | POSITIVE_X = 1, |
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43 | NEGATIVE_Y = 2, |
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44 | POSITIVE_Y = 3, |
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45 | NEGATIVE_Z = 4, |
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46 | POSITIVE_Z = 5, |
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47 | FIRST = 0, |
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48 | NUMBER = 6 |
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49 | }; |
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50 | |
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51 | inline bool isPositive(Face f) { return f & b001; } |
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52 | inline bool isNegative(Face f) { return !isPositive(f); } |
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53 | inline bool isX(Face f) { return (f & b110) == b000; } |
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54 | inline bool isY(Face f) { return (f & b110) == b010; } |
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55 | inline bool isZ(Face f) { return (f & b110) == b100; } |
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56 | } |
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57 | |
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58 | namespace CylinderBases |
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59 | { |
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60 | enum Base |
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61 | { |
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62 | NEGATIVE_X = 0, |
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63 | POSITIVE_X = 1, |
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64 | FIRST = 0, |
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65 | NUMBER = 2 |
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66 | }; |
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67 | |
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68 | inline bool isPositive(Base b) { return b & b001; } |
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69 | inline bool isNegative(Base b) { return !isPositive(b); } |
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70 | } |
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71 | |
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72 | namespace QuadrantsXY |
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73 | { |
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74 | enum QuadrantXY |
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75 | { |
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76 | NEGATIVE_X_NEGATIVE_Y = 0, |
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77 | NEGATIVE_X_POSITIVE_Y = 1, |
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78 | POSITIVE_X_NEGATIVE_Y = 2, |
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79 | POSITIVE_X_POSITIVE_Y = 3, |
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80 | FIRST = 0, |
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81 | NUMBER = 4 |
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82 | }; |
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83 | |
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84 | inline bool isPositiveX(QuadrantXY q) { return (q & b10) != 0; } |
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85 | inline bool isNegativeX(QuadrantXY q) { return !isPositiveX(q); } |
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86 | inline bool isPositiveY(QuadrantXY q) { return q & b01; } |
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87 | inline bool isNegativeY(QuadrantXY q) { return !isPositiveY(q); } |
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88 | } |
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89 | |
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90 | namespace QuadrantsYZ |
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91 | { |
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92 | enum QuadrantYZ |
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93 | { |
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94 | NEGATIVE_Y_NEGATIVE_Z = 0, |
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95 | NEGATIVE_Y_POSITIVE_Z = 1, |
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96 | POSITIVE_Y_NEGATIVE_Z = 2, |
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97 | POSITIVE_Y_POSITIVE_Z = 3, |
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98 | FIRST = 0, |
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99 | NUMBER = 4 |
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100 | }; |
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101 | |
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102 | inline bool isPositiveY(QuadrantYZ q) { return (q & b10) != 0; } |
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103 | inline bool isNegativeY(QuadrantYZ q) { return !isPositiveY(q); } |
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104 | inline bool isPositiveZ(QuadrantYZ q) { return q & b01; } |
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105 | inline bool isNegativeZ(QuadrantYZ q) { return !isPositiveZ(q); } |
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106 | } |
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107 | |
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108 | namespace QuadrantsZX |
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109 | { |
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110 | enum QuadrantZX |
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111 | { |
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112 | NEGATIVE_Z_NEGATIVE_X = 0, |
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113 | NEGATIVE_Z_POSITIVE_X = 1, |
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114 | POSITIVE_Z_NEGATIVE_X = 2, |
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115 | POSITIVE_Z_POSITIVE_X = 3, |
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116 | FIRST = 0, |
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117 | NUMBER = 4 |
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118 | }; |
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119 | |
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120 | inline bool isPositiveZ(QuadrantZX q) { return (q & b10) != 0; } |
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121 | inline bool isNegativeZ(QuadrantZX q) { return !isPositiveZ(q); } |
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122 | inline bool isPositiveX(QuadrantZX q) { return (q & b01) != 0; } |
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123 | inline bool isNegativeX(QuadrantZX q) { return !isPositiveX(q); } |
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124 | } |
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125 | |
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126 | namespace Octants |
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127 | { |
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128 | enum Octant |
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129 | { |
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130 | NEGATIVE_X_NEGATIVE_Y_NEGATIVE_Z = 0, |
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131 | NEGATIVE_X_NEGATIVE_Y_POSITIVE_Z = 1, |
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132 | NEGATIVE_X_POSITIVE_Y_NEGATIVE_Z = 2, |
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133 | NEGATIVE_X_POSITIVE_Y_POSITIVE_Z = 3, |
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134 | POSITIVE_X_NEGATIVE_Y_NEGATIVE_Z = 4, |
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135 | POSITIVE_X_NEGATIVE_Y_POSITIVE_Z = 5, |
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136 | POSITIVE_X_POSITIVE_Y_NEGATIVE_Z = 6, |
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137 | POSITIVE_X_POSITIVE_Y_POSITIVE_Z = 7, |
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138 | FIRST = 0, |
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139 | NUMBER = 8 |
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140 | }; |
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141 | |
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142 | inline bool isPositiveX(Octant o) { return (o & b100) != 0; } |
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143 | inline bool isNegativeX(Octant o) { return !isPositiveX(o); } |
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144 | inline bool isPositiveY(Octant o) { return (o & b010) != 0; } |
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145 | inline bool isNegativeY(Octant o) { return !isPositiveY(o); } |
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146 | inline bool isPositiveZ(Octant o) { return o & b001; } |
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147 | inline bool isNegativeZ(Octant o) { return !isPositiveZ(o); } |
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148 | } |
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149 | |
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150 | namespace GeometryUtils |
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151 | { |
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152 | double pointPosition(const int pointIndex, const int numberOfPoints); |
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153 | double pointOnAxis(const double scale, const double position); |
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154 | double pointOnAxis(const double scale, const int pointIndex, const int numberOfPoints); |
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155 | double combination(const double value1, const double value2, const double position); |
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156 | double combination(const double value1, const double value2, const int pointIndex, const int numberOfPoints); |
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157 | bool isPointInsideModelExcludingPart(const Pt3D &point, const Model *model, const int excludedPartIndex); |
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158 | bool isPointInsideModel(const Pt3D &point, const Model &model); |
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159 | bool isPointInsidePart(const Pt3D &point, const Part *part); |
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160 | bool isPointStrictlyInsidePart(const Pt3D &point, const Part *part); |
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161 | bool isPointInsideEllipsoid(const Pt3D &point, const Part *part); |
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162 | bool isPointStrictlyInsideEllipsoid(const Pt3D &point, const Part *part); |
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163 | bool isPointInsideCuboid(const Pt3D &point, const Part *part); |
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164 | bool isPointStrictlyInsideCuboid(const Pt3D &point, const Part *part); |
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165 | bool isPointInsideCylinder(const Pt3D &point, const Part *part); |
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166 | bool isPointStrictlyInsideCylinder(const Pt3D &point, const Part *part); |
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167 | void findSizesAndAxesOfPointsGroup(SListTempl<Pt3D> &points, Pt3D &sizes, Orient &axes); |
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168 | void findSizeAndAxisOfPointsGroup(const SListTempl<Pt3D> &points, double &size, Pt3D &axis); |
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169 | double findTwoFurthestPoints(const SListTempl<Pt3D> &points, int &index1, int &index2); |
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170 | void createAxisFromTwoPoints(Pt3D &axis, const Pt3D &point1, const Pt3D &point2); |
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171 | void orthographicProjectionToPlane(SListTempl<Pt3D> &points, const Pt3D &planeNormalVector); |
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172 | double pointDistanceToPlane(const Pt3D &point, const Pt3D &planeNormalVector); |
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173 | void getRectangleApicesFromCuboid(const Part *part, const CuboidFaces::Face face, Pt3D &apex1, Pt3D &apex2, Pt3D &apex3, Pt3D &apex4); |
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174 | void getRectangleApices(const double width, const double height, const Pt3D &position, const Orient &orient, Pt3D &apex1, Pt3D &apex2, Pt3D &apex3, Pt3D &apex4); |
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175 | void getNextEllipseSegmentationPoint(const double d, const double a, const double b, double &x, double &y); |
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176 | double ellipsoidArea(const Pt3D &sizes); |
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177 | double ellipsoidArea(const double a, const double b, const double c); |
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178 | double ellipsePerimeter(const double a, const double b); |
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179 | } |
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180 | |
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181 | #endif |
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