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Astroid2D_8ih_source.html
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> /**</div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>  * This program is free software: you can redistribute it and/or modify</div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>  * it under the terms of the GNU Lesser General Public License as</div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>  * published by the Free Software Foundation, either version 3 of the</div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>  * License, or (at your option) any later version.</div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>  *</div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  * This program is distributed in the hope that it will be useful,</div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  * but WITHOUT ANY WARRANTY; without even the implied warranty of</div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  * GNU General Public License for more details.</div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  *</div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  * You should have received a copy of the GNU General Public License</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  * along with this program. If not, see <http://www.gnu.org/licenses/>.</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  *</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  **/</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  /**</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  * @file Astroid2D.ih</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  * @author Chouaib Fellah, Adrien Krähenbühl (\c [email protected] )</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  * Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie - ICube (UMR 7357), France</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  *</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  * @date 2018/06/12</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  *</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  * Implementation of inline methods defined in Astroid2D.h</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  *</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  * This file is part of the DGtal library.</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  */</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> #include <cstdlib></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> #define ASTROID_3_PI_2 (3. * M_PI_2)</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> #define ASTROID_2_PI (2. * M_PI)</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> // IMPLEMENTATION of inline methods.</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> // ----------------------- Standard services ----------------------------------</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> template <typename T></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> inline</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> DGtal::Astroid2D<T>::Astroid2D( const double x0, const double y0,</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  const double a, const double b ) : myCenter(x0,y0), myA(fabs(a)), myB(fabs(b))</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {}</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> template <typename T></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> inline</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> DGtal::Astroid2D<T>::Astroid2D( const RealPoint &aPoint,</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  const double a, const double b ) : myCenter(aPoint), myA(fabs(a)), myB(fabs(b))</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> {}</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> template <typename T></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> inline</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> DGtal::Astroid2D<T>::Astroid2D( const Astroid2D& other ) :</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  myCenter(other.myCenter), myA(other.myA), myB(other.myB)</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> {}</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> // ------------- Implementation of 'StarShaped' services ----------------------</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> /**</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  * @param pp any point in the plane.</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  *</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  * @return the angle parameter between 0 and 2*Pi corresponding to</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  * this point for the shape.</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  */</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> template <typename T></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> inline</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> double</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> DGtal::Astroid2D<T>::parameter( const RealPoint & pp ) const</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  const RealPoint p( pp - myCenter );</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  double angle = 0.;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  if ( isAlmostEqual(p[0],0.) )</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  angle = p[1] > 0. ? M_PI_2 : ASTROID_3_PI_2;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  else if ( isAlmostEqual(p[1],0.) )</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  angle = p[0] > 0. ? 0. : M_PI;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  else if ( ! isAlmostEqual(myB,0.) )</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  if( p[1]/p[0] < 0. )</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  angle = atan(-pow(-(myA*p[1])/(myB*p[0]) , 1/3.))</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  + (p[0] > 0. ? ASTROID_2_PI : M_PI);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  else</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  angle = atan(pow(( myA*p[1])/(myB*p[0]) , 1/3.));</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  return angle;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> /**</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  * @param t any angle between 0 and 2*Pi.</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  *</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  * @return the vector (x(t),y(t)) which is the position on the</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  * shape boundary.</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  */</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> template <typename T></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> inline</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> typename DGtal::Astroid2D<T>::RealPoint</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> DGtal::Astroid2D<T>::x( const double t ) const</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> {</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  return RealPoint( myA*pow(cos(t),3), myB*pow(sin(t),3) ) + myCenter;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> /**</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  * @param t any angle between 0 and 2*Pi.</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  *</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  * @return the vector (x'(t),y'(t)) which is the tangent to the</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  * shape boundary.</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  */</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> template <typename T></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> inline</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> typename DGtal::Astroid2D<T>::RealVector</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> DGtal::Astroid2D<T>::xp( const double t ) const</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> {</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  return RealVector( myA * 3*(-sin(t))*pow(cos(t),2),</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  myB * 3*cos(t)*pow(sin(t),2) );</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> template <typename T></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> inline</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> typename DGtal::Astroid2D<T>::RealVector</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> DGtal::Astroid2D<T>::xpp( const double t ) const</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  return RealVector( -myA * 3*pow(cos(t),3) + 6*pow(sin(t),2)*cos(t),</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  myB * (6*pow(cos(t),2)*sin(t) - 3*pow(sin(t),3)) );</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> // Interface - public :</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> /**</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  * Writes/Displays the object on an output stream.</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  * @param out the output stream where the object is written.</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  */</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> template <typename T></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> inline</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> void</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> DGtal::Astroid2D<T>::selfDisplay ( std::ostream & out ) const</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> {</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  out << "[Astroid2D] center= " << myCenter</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  << " a=" << myA</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  << " b=" << myB;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> /**</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  * Checks the validity/consistency of the object.</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  * @return 'true' if the object is valid, 'false' otherwise.</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  */</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> template <typename T></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> inline</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> bool</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> DGtal::Astroid2D<T>::isValid() const</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  return true;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> // Implementation of inline functions //</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> template <typename T></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> inline</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> std::ostream&</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> DGtal::operator<< ( std::ostream & out,</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  const Astroid2D<T> & object )</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> {</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  object.selfDisplay( out );</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  return out;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> }</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> // //</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> ///////////////////////////////////////////////////////////////////////////////</div>
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