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annotate Framework/Scene2D/ScenePoint2D.h @ 1510:1005c1cbe4dd

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fix
author Sebastien Jodogne <s.jodogne@gmail.com>
date Tue, 07 Jul 2020 09:45:27 +0200
parents 7ec8fea061b9
children
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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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2d8ab34c8c91 upgrade to year 2020
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5 * Copyright (C) 2017-2020 Osimis S.A., Belgium
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6 *
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7 * This program is free software: you can redistribute it and/or
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8 * modify it under the terms of the GNU Affero General Public License
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9 * as published by the Free Software Foundation, either version 3 of
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10 * the License, or (at your option) any later version.
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11 *
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12 * This program is distributed in the hope that it will be useful, but
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13 * WITHOUT ANY WARRANTY; without even the implied warranty of
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14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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15 * Affero General Public License for more details.
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16 *
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17 * You should have received a copy of the GNU Affero General Public License
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18 * along with this program. If not, see <http://www.gnu.org/licenses/>.
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19 **/
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20
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21
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22 #pragma once
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23
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24 #include "../Toolbox/AffineTransform2D.h"
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25 #include "../Toolbox/LinearAlgebra.h"
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26
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27 namespace OrthancStone
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28 {
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29 class ScenePoint2D
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30 {
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31 private:
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32 double x_;
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33 double y_;
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34
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35 public:
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36 ScenePoint2D() :
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37 x_(0),
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38 y_(0)
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39 {
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40 }
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41
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42 ScenePoint2D(double x,
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43 double y) :
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44 x_(x),
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45 y_(y)
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46 {
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47 }
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48
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49 double GetX() const
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50 {
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51 return x_;
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52 }
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53
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54 double GetY() const
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55 {
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56 return y_;
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57 }
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58
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59 ScenePoint2D Apply(const AffineTransform2D& t) const
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60 {
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61 double x = x_;
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62 double y = y_;
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63 t.Apply(x, y);
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64 return ScenePoint2D(x, y);
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65 }
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66
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67 const ScenePoint2D operator-(const ScenePoint2D& a) const
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68 {
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69 ScenePoint2D v;
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70 v.x_ = x_ - a.x_;
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71 v.y_ = y_ - a.y_;
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72
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73 return v;
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74 }
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75
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76 const ScenePoint2D operator+(const ScenePoint2D& a) const
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77 {
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78 ScenePoint2D v;
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79 v.x_ = x_ + a.x_;
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80 v.y_ = y_ + a.y_;
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81
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82 return v;
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83 }
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84
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85 const ScenePoint2D operator*(double a) const
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86 {
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87 ScenePoint2D v;
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88 v.x_ = x_ * a;
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89 v.y_ = y_ * a;
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90
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91 return v;
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92 }
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93
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94 const ScenePoint2D operator/(double a) const
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95 {
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96 ScenePoint2D v;
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97 v.x_ = x_ / a;
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98 v.y_ = y_ / a;
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99
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100 return v;
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101 }
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102
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103 static void MidPoint(ScenePoint2D& result, const ScenePoint2D& a, const ScenePoint2D& b)
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104 {
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105 result.x_ = 0.5 * (a.x_ + b.x_);
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106 result.y_ = 0.5 * (a.y_ + b.y_);
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107 }
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108
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109 static double Dot(const ScenePoint2D& a, const ScenePoint2D& b)
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110 {
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111 return a.x_ * b.x_ + a.y_ * b.y_;
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112 }
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113
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114 static double SquaredMagnitude(const ScenePoint2D& v)
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115 {
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116 return v.x_ * v.x_ + v.y_ * v.y_;
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117 }
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118
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119 static double Magnitude(const ScenePoint2D& v)
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120 {
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121 double squaredMagnitude = SquaredMagnitude(v);
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122 if (LinearAlgebra::IsCloseToZero(squaredMagnitude))
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123 return 0.0;
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124 return sqrt(squaredMagnitude);
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125 }
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126
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127 static double SquaredDistancePtPt(const ScenePoint2D& a, const ScenePoint2D& b)
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128 {
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129 ScenePoint2D n = b - a;
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130 return Dot(n, n);
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131 }
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132
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133 static double DistancePtPt(const ScenePoint2D& a, const ScenePoint2D& b)
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134 {
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135 double squaredDist = SquaredDistancePtPt(a, b);
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136 return sqrt(squaredDist);
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137 }
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138
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139 /**
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140 Distance from point p to [a,b] segment
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141
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142 Rewritten from https://www.randygaul.net/2014/07/23/distance-point-to-line-segment/
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143 */
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144 static double SquaredDistancePtSegment(const ScenePoint2D& a, const ScenePoint2D& b, const ScenePoint2D& p)
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145 {
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146 ScenePoint2D n = b - a;
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147 ScenePoint2D pa = a - p;
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148
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149 double c = Dot(n, pa);
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150
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151 // Closest point is a
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152 if (c > 0.0)
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153 return Dot(pa, pa);
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154
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155 ScenePoint2D bp = p - b;
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156
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157 // Closest point is b
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158 if (Dot(n, bp) > 0.0)
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159 return Dot(bp, bp);
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160
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161 // if segment length is very short, we approximate distance to the
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162 // distance with a
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163 double nq = Dot(n, n);
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164 if (LinearAlgebra::IsCloseToZero(nq))
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165 {
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166 // segment is very small: approximate distance from point to segment
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167 // with distance from p to a
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168 return Dot(pa, pa);
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169 }
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170 else
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171 {
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172 // Closest point is between a and b
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173 ScenePoint2D e = pa - n * (c / nq);
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174 return Dot(e, e);
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175 }
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176 }
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177 };
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178 }
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179