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annotate OrthancStone/Sources/Scene2D/ScenePoint2D.h @ 1598:8563ea5d8ae4

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relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
author Sebastien Jodogne <s.jodogne@gmail.com>
date Mon, 26 Oct 2020 20:49:28 +0100
parents 244ad1e4e76a
children 9ac2a65d4172
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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) 2017-2020 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 Lesser 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 * Lesser 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 Lesser General Public
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18 * License along with this program. If not, see
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19 * <http://www.gnu.org/licenses/>.
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20 **/
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22
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23 #pragma once
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24
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25 #include "../Toolbox/AffineTransform2D.h"
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26 #include "../Toolbox/LinearAlgebra.h"
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27
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28 namespace OrthancStone
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29 {
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30 class ScenePoint2D
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31 {
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32 private:
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33 double x_;
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34 double y_;
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35
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36 public:
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37 ScenePoint2D() :
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38 x_(0),
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39 y_(0)
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40 {
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41 }
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42
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43 ScenePoint2D(double x,
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44 double y) :
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45 x_(x),
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46 y_(y)
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47 {
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48 }
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49
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50 double GetX() const
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51 {
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52 return x_;
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53 }
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54
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55 double GetY() const
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56 {
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57 return y_;
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58 }
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59
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60 ScenePoint2D Apply(const AffineTransform2D& t) const
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61 {
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62 double x = x_;
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63 double y = y_;
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64 t.Apply(x, y);
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65 return ScenePoint2D(x, y);
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66 }
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67
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68 const ScenePoint2D operator-(const ScenePoint2D& a) const
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69 {
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70 ScenePoint2D v;
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71 v.x_ = x_ - a.x_;
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72 v.y_ = y_ - a.y_;
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73
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74 return v;
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75 }
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76
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77 const ScenePoint2D operator+(const ScenePoint2D& a) const
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78 {
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79 ScenePoint2D v;
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80 v.x_ = x_ + a.x_;
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81 v.y_ = y_ + a.y_;
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82
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83 return v;
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84 }
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85
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86 const ScenePoint2D operator*(double a) const
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87 {
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88 ScenePoint2D v;
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89 v.x_ = x_ * a;
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90 v.y_ = y_ * a;
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92 return v;
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93 }
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94
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95 const ScenePoint2D operator/(double a) const
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96 {
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97 ScenePoint2D v;
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98 v.x_ = x_ / a;
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99 v.y_ = y_ / a;
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100
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101 return v;
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102 }
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103
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104 static void MidPoint(ScenePoint2D& result, const ScenePoint2D& a, const ScenePoint2D& b)
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105 {
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106 result.x_ = 0.5 * (a.x_ + b.x_);
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107 result.y_ = 0.5 * (a.y_ + b.y_);
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108 }
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109
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110 static double Dot(const ScenePoint2D& a, const ScenePoint2D& b)
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111 {
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112 return a.x_ * b.x_ + a.y_ * b.y_;
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113 }
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114
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115 static double SquaredMagnitude(const ScenePoint2D& v)
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116 {
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117 return v.x_ * v.x_ + v.y_ * v.y_;
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118 }
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119
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120 static double Magnitude(const ScenePoint2D& v)
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121 {
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122 double squaredMagnitude = SquaredMagnitude(v);
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123 if (LinearAlgebra::IsCloseToZero(squaredMagnitude))
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124 return 0.0;
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125 return sqrt(squaredMagnitude);
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126 }
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127
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128 static double SquaredDistancePtPt(const ScenePoint2D& a, const ScenePoint2D& b)
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129 {
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130 ScenePoint2D n = b - a;
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131 return Dot(n, n);
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132 }
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134 static double DistancePtPt(const ScenePoint2D& a, const ScenePoint2D& b)
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135 {
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136 double squaredDist = SquaredDistancePtPt(a, b);
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137 return sqrt(squaredDist);
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138 }
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139
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140 /**
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141 Distance from point p to [a,b] segment
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142
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143 Rewritten from https://www.randygaul.net/2014/07/23/distance-point-to-line-segment/
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144 */
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145 static double SquaredDistancePtSegment(const ScenePoint2D& a, const ScenePoint2D& b, const ScenePoint2D& p)
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146 {
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147 ScenePoint2D n = b - a;
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148 ScenePoint2D pa = a - p;
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149
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150 double c = Dot(n, pa);
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151
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152 // Closest point is a
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153 if (c > 0.0)
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154 return Dot(pa, pa);
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155
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156 ScenePoint2D bp = p - b;
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157
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158 // Closest point is b
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159 if (Dot(n, bp) > 0.0)
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160 return Dot(bp, bp);
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161
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162 // if segment length is very short, we approximate distance to the
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163 // distance with a
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164 double nq = Dot(n, n);
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165 if (LinearAlgebra::IsCloseToZero(nq))
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166 {
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167 // segment is very small: approximate distance from point to segment
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168 // with distance from p to a
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169 return Dot(pa, pa);
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170 }
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171 else
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172 {
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173 // Closest point is between a and b
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174 ScenePoint2D e = pa - n * (c / nq);
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175 return Dot(e, e);
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176 }
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177 }
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178 };
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179 }
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180