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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 ArithmeticalDSSConvexHull.ih</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  * @author Tristan Roussillon (\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>  *</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  * @date 2013/10/28</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 ArithmeticalDSSConvexHull.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> //////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> #include <cstdlib></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 "DGtal/geometry/curves/ArithmeticalDSSConvexHull.h"</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> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> template<typename DSL, typename OutputIterator></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> inline</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> typename DSL::Vector </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> DGtal::functions::</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> smartCH(const DSL& aDSL, </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  const typename DSL::Point& aFirstPoint, </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  const typename DSL::Position& aLength, </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  OutputIterator uIto, OutputIterator lIto)</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>  typedef typename DSL::Vector Vector; </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  typedef typename DSL::Position Position; </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  typedef typename DSL::Coordinate Coordinate;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  ASSERT( aDSL.isValid() ); </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  ASSERT( aLength >= NumberTraits<Position>::ONE ); </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  //position functor</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  functors::PositionFunctorFrom2DPoint<Vector,Position> position(aDSL.shift()); </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>  //steps</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  Vector step = aDSL.steps().first; </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  Coordinate rStep = DSL::toCoordinate( aDSL.remainder(step) ); </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  Vector shift = -aDSL.shift(); </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  Coordinate rShift = DSL::toCoordinate( aDSL.remainder(shift) );</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>  //intercept </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  Coordinate intercept = DSL::toCoordinate( aDSL.mu() - aDSL.remainder(aFirstPoint) ); </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>  Position lastPosition = position(aFirstPoint) + aLength; </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>  return smartCH(aFirstPoint, intercept, lastPosition, step, rStep, shift, rShift, position, uIto, lIto); </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>  </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> template<typename PointVector, typename Coordinate, typename Position, </div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  typename PositionFunctor, typename OutputIterator></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> inline</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> PointVector</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> DGtal::functions::</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> smartCH(const PointVector& aFirstPoint, </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  const Coordinate& aRemainderBound, </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  const Position& aPositionBound, </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  const PointVector& aStep,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  const Coordinate& aRStep, </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  const PointVector& aShift, </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  const Coordinate& aRShift, </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  const PositionFunctor& aPositionFunctor, </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  OutputIterator uIto, OutputIterator lIto)</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  BOOST_STATIC_ASSERT(( concepts::ConceptUtils::SameType<Coordinate, typename PointVector::Coordinate>::value )); </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  BOOST_STATIC_ASSERT(( concepts::ConceptUtils::SameType<Position, typename PositionFunctor::Position>::value )); </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::IncrementableIteratorConcept<OutputIterator> ));</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::WritableIteratorConcept<OutputIterator,PointVector> ));</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>  //----------------- init --------------------//</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  //functors</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  functors::StrictTruncationFunctor<Coordinate> sTruncation; </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  functors::LargeTruncationFunctor<Coordinate> lTruncation; </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>  PointVector L, U, V; //point/vectors</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  Coordinate rL, rU, rV; //remainders of the above point/vectors</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  Coordinate q; //quotient of the divisions</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>  U = aFirstPoint; </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  rU = NumberTraits<Coordinate>::ZERO;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  *uIto++ = U; </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  L = U + aShift; </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  rL = rU + aRShift;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  *lIto++ = L; </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>  q = (aRemainderBound - (rU + aRStep)) / aRShift;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  V = aStep + aShift * q; </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  rV = aRStep + q * aRShift; </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>  //----------------- main --------------------//</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  bool stop = false; </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  while ( (rV != 0) && (!stop) )</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>  if (rV > 0)</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  {</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>  stop = smartCHNextVertex(aPositionBound, </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  aRemainderBound, </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  L, rL, U, rU, V, rV, </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  lIto, aPositionFunctor, </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  sTruncation, lTruncation); </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  }</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  else</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  { //if (rV < 0)</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  stop = smartCHNextVertex(aPositionBound, </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  aRemainderBound,</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  U, rU, L, rL, V, rV, </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  uIto, aPositionFunctor, </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  lTruncation, sTruncation); </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>  ASSERT( (V[0]*(L-U)[1] - V[1]*(L-U)[0]) == 1 ); //eq. 6 </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  ASSERT( (stop) || ((!stop)&&(rL + rV < aRemainderBound)) ); //eq. 5</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  ASSERT( (stop) || ((!stop)&&(rU + rV >= aRemainderBound)) ); //eq. 5</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  ASSERT( (stop) || ((!stop)&&((aPositionFunctor(L)-aPositionFunctor(aFirstPoint)) < aPositionFunctor(V))) ); //eq. 10</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  ASSERT( (stop) || ((!stop)&&((aPositionFunctor(U)-aPositionFunctor(aFirstPoint)) < aPositionFunctor(V))) ); //eq. 10</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>  return V; </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> }</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>  </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 Position, typename Coordinate, typename PointVector, </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  typename OutputIterator,</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  typename PositionFunctor,</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  typename TruncationFunctor1, typename TruncationFunctor2></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> inline</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> bool</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> DGtal::functions::</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> smartCHNextVertex(const Position& positionBound,</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  const Coordinate& remainderBound,</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  PointVector& X,</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  Coordinate& rX, </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  const PointVector& Y,</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  const Coordinate& rY, </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  PointVector& V, </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  Coordinate& rV,</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  OutputIterator ito,</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  const PositionFunctor& pos, </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  const TruncationFunctor1& f1, </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  const TruncationFunctor2& f2)</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>  ASSERT( rV != NumberTraits<Coordinate>::ZERO ); </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  ASSERT( ((V[0]*(X-Y)[1] - V[1]*(X-Y)[0]) == 1)||</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  ((V[0]*(X-Y)[1] - V[1]*(X-Y)[0]) == -1) ); </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::IncrementableIteratorConcept<OutputIterator> ));</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::WritableIteratorConcept<OutputIterator,PointVector> ));</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>  bool stop = false; </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  Coordinate q = f1(remainderBound - rX, rV); //first ray casting</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  X += V * q;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  if ( pos(X) <= positionBound )</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>  rX += q * rV; </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  *ito++ = X; </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  </div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  q = f2( remainderBound - (rY + rV), (rX - rY) ); //second ray casting</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  V += (X - Y) * q;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  if ( (pos(V) + pos(Y)) <= positionBound ) </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  rV += q * (rX - rY); </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  else</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  {</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  stop = true;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  PointVector XY = (X - Y);</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  V -= (XY) * q;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  q = ( (positionBound - (pos(Y) + pos(V))) / pos(XY) );</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  if (q > 0) </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  V += XY * q; </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  else</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  {</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  stop = true;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  X -= V * q;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  q = ( (positionBound - pos(X)) / pos(V) );</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  ASSERT(q >= 0); </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  if (q > 0)</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>  X += V * q;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  *ito++ = X; </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>  PointVector XY = (X - Y);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  q = ( (positionBound - (pos(Y) + pos(V))) / pos(XY) );</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  if (q > 0) </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  V += XY * q; </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</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>  return stop; </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> }</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> template<typename DSS, typename OutputIterator></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> inline</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> typename DSS::Vector </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> DGtal::functions::</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> reversedSmartCH(const DSS& aDSS, </div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  const typename DSS::Position& aPositionBound, </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  OutputIterator uIto, OutputIterator lIto)</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  ASSERT( aDSS.position(aDSS.back()) <= aPositionBound ); </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  typedef typename DSS::Vector Vector; </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  typedef typename DSS::Position Position; </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  //position functor</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  functors::PositionFunctorFrom2DPoint<Vector,Position> position(aDSS.dsl().shift()); </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  //direction vector</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  Vector v(aDSS.b(), aDSS.a());</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  return reversedSmartCH( aDSS.Uf(), aDSS.Lf()-aDSS.dsl().shift(), v, </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  aDSS.position(aDSS.back()), aPositionBound, </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  position, uIto, lIto ); </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> } </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  </div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> template<typename PointVector, typename Position, </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  typename PositionFunctor, typename OutputIterator></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> inline</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> PointVector </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> DGtal::functions::</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> reversedSmartCH(PointVector U, PointVector L, PointVector V, </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  const Position& aFirstPosition, const Position& aLastPosition, </div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  const PositionFunctor& aPositionFunctor, </div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  OutputIterator uIto, OutputIterator lIto)</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> {</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  BOOST_STATIC_ASSERT(( concepts::ConceptUtils::SameType<Position, typename PositionFunctor::Position>::value )); </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::IncrementableIteratorConcept<OutputIterator> ));</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::WritableIteratorConcept<OutputIterator,PointVector> ));</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  typedef typename PointVector::Coordinate Coordinate; </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  BOOST_STATIC_ASSERT(( concepts::ConceptUtils::SameType<Coordinate, typename PointVector::Coordinate>::value )); </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  ASSERT( aFirstPosition <= aLastPosition ); </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  ASSERT( (V[0]*(L-U)[1] - V[1]*(L-U)[0]) == NumberTraits<Coordinate>::ONE ); //eq. 6 </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  //functors</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  functors::StrictTruncationFunctor<Coordinate> sTruncation; </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  functors::LargeTruncationFunctor<Coordinate> lTruncation; </div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  </div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  //----------------- init --------------------//</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  *lIto++ = L; </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  *uIto++ = U; </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  bool stop = false; </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  if (aPositionFunctor(L) >= aPositionFunctor(U))</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  {</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  if ((aPositionFunctor(U)+aPositionFunctor(V)) <= aLastPosition)</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  stop = true; </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  }</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  else </div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  {</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  if ((aPositionFunctor(L)+aPositionFunctor(V)) <= aLastPosition)</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  stop = true; </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  } </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  //----------------- main --------------------//</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  while ( (aPositionFunctor(L) != aPositionFunctor(U)) && (!stop) )</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  { </div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  if (aPositionFunctor(L) > aPositionFunctor(U))</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  {</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  stop = smartCHPreviousVertex(L, U, V, aFirstPosition, aLastPosition, </div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  lIto, aPositionFunctor, sTruncation, lTruncation); </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  else</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  {</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  stop = smartCHPreviousVertex(U, L, V, aFirstPosition, aLastPosition, </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  uIto, aPositionFunctor, sTruncation, lTruncation); </div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  }</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  </div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  return V; </div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> }</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> template<typename PointVector, typename Position, </div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  typename OutputIterator, </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  typename TruncationFunctor1, typename TruncationFunctor2, </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  typename PositionFunctor></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> inline</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> bool </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> DGtal::functions::</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> smartCHPreviousVertex(PointVector& X, const PointVector& Y, PointVector& V, </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  const Position& aFirstPosition, const Position& aLastPosition, </div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  OutputIterator ito, </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  const PositionFunctor& pos,</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  const TruncationFunctor1& f1, </div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  const TruncationFunctor2& f2)</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> {</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::IncrementableIteratorConcept<OutputIterator> ));</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  BOOST_CONCEPT_ASSERT(( boost_concepts::WritableIteratorConcept<OutputIterator,PointVector> ));</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  typedef PointVector Vector; </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  </div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  //pre-conditions</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  ASSERT(pos(X) > pos(Y)); </div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  ASSERT((pos(X)-aFirstPosition) < pos(V)); //eq 10</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  ASSERT((pos(Y)-aFirstPosition) < pos(V)); //eq 10</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  bool stop = false; </div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  </div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  //update V</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  Vector XY = X-Y; </div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  Position q = f1( (aFirstPosition+pos(V)-pos(Y)), pos(XY) ); </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  ASSERT(q > 0); </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  V -= q * XY; </div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  ASSERT(pos(V) <= (pos(X)-aFirstPosition)); //eq 9 (NB: equality at position 0)</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  if (pos(Y) + pos(V) > aLastPosition)</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  {</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  //update X</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  q = f2((pos(X)-aFirstPosition), pos(V)); </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  ASSERT(q >= 0); </div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  X -= q * V; </div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  ASSERT((pos(X)-aFirstPosition) < pos(V)); //eq 10</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  if (pos(X) + pos(V) <= aLastPosition)</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  { //X can be increased</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  stop = true; </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  q = (aLastPosition - (pos(X) + pos(V))) / pos(V);</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  X += q * V; </div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  }</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  *ito++ = X; </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  }</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  else</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  {</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  stop = true;</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  //V can be increased</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  q = (aLastPosition - (pos(Y) + pos(V)) ) / pos(XY); </div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  ASSERT(q >= 0); </div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  V += q * XY;</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  //update X</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  q = f2( (pos(X) - pos(Y)), pos(V) ); </div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  if (q >= 0) </div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  {</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  X -= q * V; </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  *ito++ = X;</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  }</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  //there is nothing else to do</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  ASSERT(pos(X) <= aLastPosition); </div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  ASSERT(pos(Y) <= aLastPosition); </div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  ASSERT(pos(Y) + pos(V) <= aLastPosition); </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  }</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  </div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  return stop; </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> }</div>
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