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 <span id="projectnumber">1.5.beta</span>
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<div class="title">AccFlower2D.ih</div> </div>
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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 AccFlower2D.ih</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  * @author David Coeurjolly (\c [email protected] )</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  * @author Jacques-Olivier Lachaud (\c [email protected] )</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  * Laboratory of Mathematics (CNRS, UMR 5807), University of Savoie, France</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>  * @date 2011/04/12</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>  * Implementation of inline methods defined in AccFlower2D.h</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>  * This file is part of the DGtal library.</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>  </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> #include <cstdlib></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> //////////////////////////////////////////////////////////////////////////////</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> #define FLOWER_PI_SQUARE (M_PI * M_PI)</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> #define FLOWER_2_PI (2. * M_PI)</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> // IMPLEMENTATION of inline methods.</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> ///////////////////////////////////////////////////////////////////////////////</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> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> // ----------------------- Standard services ------------------------------</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> template <typename T></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> inline</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> DGtal::AccFlower2D<T>::AccFlower2D(const double x0, const double y0,</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  const double radius, const double smallRadius,</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  const unsigned int k, const double phi)</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  : myCenter(x0,y0), myRadius(radius), myVarRadius(smallRadius), </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  myK(k), myPhi(phi)</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>  myKp = 2 * myK / FLOWER_PI_SQUARE;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> }</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> template <typename T></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> inline</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> DGtal::AccFlower2D<T>::AccFlower2D(const RealPoint &aPoint, const double radius,</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  const double smallRadius,</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  const unsigned int k, const double phi)</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  : myCenter(aPoint), myRadius(radius), myVarRadius(smallRadius), </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  myK(k), myPhi(phi)</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  myKp = 2 * myK/ FLOWER_PI_SQUARE;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> template <typename T></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> inline</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> DGtal::AccFlower2D<T>::AccFlower2D(const AccFlower2D& other) </div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  : myCenter(other.myCenter), myRadius(other.myRadius), myVarRadius(other.myVarRadius), </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  myK(other.myK), myPhi(other.myPhi)</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>  </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> /////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> // ------------- Implementation of 'StarShaped' services ------------------</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> /**</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  * @param pp any point in the plane.</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  *</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  * @return the angle parameter between 0 and 2*Pi corresponding to</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  * this point for the shape.</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  */</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> template <typename T></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> inline</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> double</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> DGtal::AccFlower2D<T>::parameter( const RealPoint& pp ) const</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>  RealPoint p = pp - myCenter;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  const double angle = atan2( p[1], p[0] );</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>  return ( angle < 0. ) ? angle + FLOWER_2_PI : angle;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> }</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> /**</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  * @param tt any angle between 0 and 2*Pi.</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>  * @return the vector (x(t),y(t)) which is the position on the</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  * shape boundary.</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  */</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> template <typename T></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> inline</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> typename DGtal::AccFlower2D<T>::RealPoint </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> DGtal::AccFlower2D<T>::x( const double tt ) const</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>  double t = tt;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  while ( t >= M_PI ) t -= FLOWER_2_PI; </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  while ( t < -M_PI ) t += FLOWER_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>  const double r = myRadius + myVarRadius * cos( myKp * t * t * t );</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  return RealPoint( r * cos( t ), r * sin( t ) ) + myCenter;</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>  </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> /**</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  * @param tt any angle between 0 and 2*Pi.</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>  * @return the vector (x'(t),y'(t)) which is the tangent to the</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  * shape boundary.</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  */</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> template <typename T></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> inline</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> typename DGtal::AccFlower2D<T>::RealVector </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> DGtal::AccFlower2D<T>::xp( const double tt ) const</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> {</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  double t = tt;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  while ( t >= M_PI ) t -= FLOWER_2_PI;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  while ( t < -M_PI ) t += FLOWER_2_PI;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  const double ktn = myKp * t * t * t;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  const double ktnp = 3 * myKp * t * t ;</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>  const double r = myRadius + myVarRadius * cos( ktn );</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  const double rp = - myVarRadius * sin( ktn ) * ktnp;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  return RealPoint(</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  rp * cos( t ) - r * sin( t ),</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  rp * sin( t ) + r * cos( t )</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  );</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>  </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> /**</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  * @param tt any angle between 0 and 2*Pi.</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  *</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  * @return the vector (x''(t),y''(t)).</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  */</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> template <typename T></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> inline</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> typename DGtal::AccFlower2D<T>::RealVector</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> DGtal::AccFlower2D<T>::xpp( const double tt ) const</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>  double t = tt;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  while ( t >= M_PI ) t -= FLOWER_2_PI;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  while ( t < -M_PI ) t += FLOWER_2_PI;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  const double ktn = myKp * t * t * t;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  const double ktnp = 3 * myKp * t * t;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  const double ktnpp = 6 * myKp * t;</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>  const double r = myRadius + myVarRadius * cos( ktn );</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  const double rp = - myVarRadius * sin( ktn ) * ktnp;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  const double rpp = - myVarRadius * cos( ktn ) * ktnp * ktnp - </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  myVarRadius * sin( ktn ) * ktnpp;</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>  return RealPoint(</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  rpp * cos( t ) - 2 * rp * sin( t ) - r * cos( t ),</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  rpp * sin( t ) + 2 * rp * cos( t ) - r * sin( t )</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  );</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> }</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </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> // Interface - public :</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </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>  * Writes/Displays the object on an output stream.</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  * @param out the output stream where the object is written.</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  */</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> template <typename T></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> inline</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> void</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> DGtal::AccFlower2D<T>::selfDisplay ( std::ostream & out ) const</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> {</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  out << "[AccFlower2D] center= " << myCenter</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  << " radius=" << myRadius</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  << " smallradius=" << myVarRadius</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <<" myK=" << myK</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  << " phase-shift=" << myPhi;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> /**</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  * Checks the validity/consistency of the object.</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  * @return 'true' if the object is valid, 'false' otherwise.</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  */</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> template <typename T></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> inline</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> bool</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> DGtal::AccFlower2D<T>::isValid() const</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> {</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  return true;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> }</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> // Implementation of inline functions //</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> template <typename T></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> inline</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> std::ostream&</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> DGtal::operator<< ( std::ostream & out, </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  const AccFlower2D<T> & object )</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> {</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  object.selfDisplay( out );</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  return out;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> // //</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  </div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
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