annotate OrthancStone/Sources/Scene2D/ScenePoint2D.cpp @ 1870:3889ae96d2e9

added copyright UCLouvain
author Sebastien Jodogne <s.jodogne@gmail.com>
date Tue, 11 Jan 2022 11:04:09 +0100
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1 /**
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2 * Stone of Orthanc
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3 * Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics
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4 * Department, University Hospital of Liege, Belgium
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5 * Copyright (C) 2017-2021 Osimis S.A., Belgium
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6 * Copyright (C) 2021-2021 Sebastien Jodogne, ICTEAM UCLouvain, Belgium
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7 *
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8 * This program is free software: you can redistribute it and/or
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9 * modify it under the terms of the GNU Lesser General Public License
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10 * as published by the Free Software Foundation, either version 3 of
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11 * the License, or (at your option) any later version.
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12 *
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13 * This program is distributed in the hope that it will be useful, but
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14 * WITHOUT ANY WARRANTY; without even the implied warranty of
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15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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16 * Lesser General Public License for more details.
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17 *
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18 * You should have received a copy of the GNU Lesser General Public
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19 * License along with this program. If not, see
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20 * <http://www.gnu.org/licenses/>.
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21 **/
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22
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23
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24 #include "ScenePoint2D.h"
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25
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26
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27 namespace OrthancStone
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28 {
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29 ScenePoint2D ScenePoint2D::Apply(const AffineTransform2D& t) const
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30 {
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31 double x = x_;
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32 double y = y_;
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33 t.Apply(x, y);
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34 return ScenePoint2D(x, y);
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35 }
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36
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37
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38 const ScenePoint2D ScenePoint2D::operator-(const ScenePoint2D& a) const
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39 {
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40 ScenePoint2D v;
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41 v.x_ = x_ - a.x_;
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42 v.y_ = y_ - a.y_;
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43 return v;
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44 }
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45
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46
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47 const ScenePoint2D ScenePoint2D::operator+(const ScenePoint2D& a) const
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48 {
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49 ScenePoint2D v;
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50 v.x_ = x_ + a.x_;
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51 v.y_ = y_ + a.y_;
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52 return v;
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53 }
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54
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55
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56 const ScenePoint2D ScenePoint2D::operator*(double a) const
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57 {
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58 ScenePoint2D v;
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59 v.x_ = x_ * a;
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60 v.y_ = y_ * a;
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61 return v;
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62 }
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63
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64
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65 const ScenePoint2D ScenePoint2D::operator/(double a) const
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66 {
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67 ScenePoint2D v;
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68 v.x_ = x_ / a;
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69 v.y_ = y_ / a;
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70 return v;
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71 }
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72
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73
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74 void ScenePoint2D::MidPoint(ScenePoint2D& result,
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75 const ScenePoint2D& a,
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76 const ScenePoint2D& b)
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77 {
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78 result.x_ = 0.5 * (a.x_ + b.x_);
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79 result.y_ = 0.5 * (a.y_ + b.y_);
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80 }
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81
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82
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83 double ScenePoint2D::Dot(const ScenePoint2D& a, const ScenePoint2D& b)
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84 {
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85 return a.x_ * b.x_ + a.y_ * b.y_;
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86 }
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87
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88
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89 double ScenePoint2D::SquaredMagnitude(const ScenePoint2D& v)
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90 {
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91 return v.x_ * v.x_ + v.y_ * v.y_;
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92 }
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93
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94
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95 double ScenePoint2D::Magnitude(const ScenePoint2D& v)
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96 {
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97 double squaredMagnitude = SquaredMagnitude(v);
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98
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99 if (LinearAlgebra::IsCloseToZero(squaredMagnitude))
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100 {
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101 return 0.0;
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102 }
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103 else
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104 {
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105 return sqrt(squaredMagnitude);
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106 }
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107 }
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108
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109
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110 double ScenePoint2D::SquaredDistancePtPt(const ScenePoint2D& a, const ScenePoint2D& b)
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111 {
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112 ScenePoint2D n = b - a;
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113 return Dot(n, n);
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114 }
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115
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116
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117 double ScenePoint2D::DistancePtPt(const ScenePoint2D& a, const ScenePoint2D& b)
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118 {
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119 double squaredDist = SquaredDistancePtPt(a, b);
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120 return sqrt(squaredDist);
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121 }
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122
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123
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124 double ScenePoint2D::SquaredDistancePtSegment(const ScenePoint2D& a, const ScenePoint2D& b, const ScenePoint2D& p)
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125 {
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126 // Rewritten from https://www.randygaul.net/2014/07/23/distance-point-to-line-segment/
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127
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128 ScenePoint2D n = b - a;
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129 ScenePoint2D pa = a - p;
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130
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131 double c = Dot(n, pa);
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132
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133 // Closest point is a
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134 if (c > 0.0)
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135 {
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136 return Dot(pa, pa);
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137 }
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138
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139 ScenePoint2D bp = p - b;
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140
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141 // Closest point is b
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142 if (Dot(n, bp) > 0.0)
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143 {
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144 return Dot(bp, bp);
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145 }
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146
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147 // if segment length is very short, we approximate distance to the
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148 // distance with a
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149 double nq = Dot(n, n);
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150 if (LinearAlgebra::IsCloseToZero(nq))
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151 {
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152 // segment is very small: approximate distance from point to segment
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153 // with distance from p to a
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154 return Dot(pa, pa);
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155 }
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156 else
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157 {
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158 // Closest point is between a and b
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159 ScenePoint2D e = pa - n * (c / nq);
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160 return Dot(e, e);
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161 }
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162 }
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163 }