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<div class="title">ArithmeticalDSS.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 ArithmeticalDSS.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 2013/06/28</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 ArithmeticalDSS.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>  </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> // IMPLEMENTATION of inline methods.</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>  </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> // ----------------------- Standard services ------------------------------</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> inline</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> ::ArithmeticalDSS(const Point& aPoint)</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> myF(aPoint), myL(aPoint), </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  myUf(aPoint), myUl(aPoint), </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  myLf(aPoint), myLl(aPoint), </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  myDSL( NumberTraits<TCoordinate>::ZERO, </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  NumberTraits<TCoordinate>::ZERO, </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  NumberTraits<TInteger>::ZERO, </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  NumberTraits<TInteger>::ZERO, </div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  std::make_pair( Vector(NumberTraits<TCoordinate>::ZERO, NumberTraits<TCoordinate>::ZERO), </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  Vector(NumberTraits<TCoordinate>::ZERO, NumberTraits<TCoordinate>::ZERO) ), </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  Vector(NumberTraits<TCoordinate>::ZERO, NumberTraits<TCoordinate>::ZERO) )</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>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> inline</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> ::ArithmeticalDSS(const Coordinate& aA, const Coordinate& aB, </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  const Integer& aLowerBound, const Integer& aUpperBound, </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  const Point& aF, const Point& aL,</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  const Point& aUf, const Point& aUl,</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  const Point& aLf, const Point& aLl, </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  const Steps& aSteps, const Vector& aShift)</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>  myF(aF), myL(aL),</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  myUf(aUf), myUl(aUl), myLf(aLf), myLl(aLl),</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  myDSL( aA, aB, aLowerBound, aUpperBound, aSteps, aShift )</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> {</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> inline</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> ::ArithmeticalDSS(const DSL& aDSL, </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  const Point& aF, const Point& aL,</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  const Point& aUf, const Point& aUl,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  const Point& aLf, const Point& aLl)</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>  myF(aF), myL(aL),</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  myUf(aUf), myUl(aUl), myLf(aLf), myLl(aLl),</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  myDSL( aDSL )</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> {</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> inline</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> ::ArithmeticalDSS(const Coordinate& aA, const Coordinate& aB, </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  const Point& aF, const Point& aL,</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  const Point& aUf, const Point& aUl,</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  const Point& aLf, const Point& aLl)</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>  myF(aF), myL(aL),</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  myUf(aUf), myUl(aUl), myLf(aLf), myLl(aLl),</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  myDSL( aA, aB, DSL::remainder( aA, aB, aUf ) )</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> }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> inline</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> ::ArithmeticalDSS(const Point& aF, const Point& aL, </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  const bool& areOnTheUpperLine)</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  : myDSL( NumberTraits<Coordinate>::ZERO, NumberTraits<Coordinate>::ZERO, NumberTraits<Integer>::ZERO )</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>  typedef DGtal::ArithmeticalDSSFactory<TCoordinate, TInteger, adjacency> Factory; </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 (areOnTheUpperLine)</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  *this = Factory::createPattern(aF, aL); </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  else </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  *this = Factory::createReversedPattern(aF, aL); </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> inline</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> ::ArithmeticalDSS(const DSL& aDSL, const Point& aF, const Point& aL)</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  : myDSL( NumberTraits<Coordinate>::ZERO, NumberTraits<Coordinate>::ZERO, NumberTraits<Integer>::ZERO )</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>  typedef DGtal::ArithmeticalDSSFactory<TCoordinate, TInteger, adjacency> Factory; </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  *this = Factory::createSubsegment(aDSL, aF, aL); </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> inline</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> ::ArithmeticalDSS(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aDSS, </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  const Point& aF, const Point& aL)</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  : myDSL( NumberTraits<Coordinate>::ZERO, NumberTraits<Coordinate>::ZERO, NumberTraits<Integer>::ZERO )</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>  typedef DGtal::ArithmeticalDSSFactory<TCoordinate, TInteger, adjacency> Factory; </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  *this = Factory::createSubsegment(aDSS, aF, aL); </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> template <typename Iterator></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> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> ::ArithmeticalDSS(const Iterator& aItb, const Iterator& aIte)</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  : myDSL( NumberTraits<Coordinate>::ZERO, NumberTraits<Coordinate>::ZERO, NumberTraits<Integer>::ZERO )</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> {</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  if (aItb != aIte)</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>  Iterator it = aItb; </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  //construction from the begin iterator</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  Point p = *it; </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  *this = ArithmeticalDSS(p); </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  //extension</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  for (++it; it != aIte; ++it)</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  extendFront(*it); </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>  else</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>  throw InputException();</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> }</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> inline</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> ::ArithmeticalDSS(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aOther)</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>  myF(aOther.myF), myL(aOther.myL),</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  myUf(aOther.myUf), myUl(aOther.myUl), myLf(aOther.myLf), myLl(aOther.myLl),</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  myDSL(aOther.myDSL)</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>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> inline</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>&</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> ::operator=(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aOther)</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>  if ( this != &aOther )</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>  myF = aOther.myF;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  myL = aOther.myL;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  myUf = aOther.myUf;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  myLf = aOther.myLf;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  myUl = aOther.myUl;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  myLl = aOther.myLl;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  myDSL = aOther.myDSL; </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>  return *this;</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>  </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> inline</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> ::negate() const</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> {</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  return ArithmeticalDSS(-myDSL.myA, -myDSL.myB, </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  -myDSL.myUpperBound, -myDSL.myLowerBound, </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  myL, myF, myLl, myLf, myUl, myUf, </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  std::make_pair(-myDSL.mySteps.first, -myDSL.mySteps.second), </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  -myDSL.myShift); </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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> inline</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> bool</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> ::equalsTo(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aOther) const</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>  return ( (myUf == aOther.myUf) && </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  (myUl == aOther.myUl) && </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  (myLf == aOther.myLf) && </div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  (myLl == aOther.myLl) && </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  (myF == aOther.myF) && </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  (myL == aOther.myL) &&</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  (myDSL.equalsTo(aOther.myDSL)) );</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>  </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> inline</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> bool</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> ::operator==(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aOther) const</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 ( equalsTo(aOther) || equalsTo(aOther.negate()) ); </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> inline</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> bool</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> ::operator!=(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aOther) const</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> {</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  return !( operator==(aOther) ); </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> }</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> inline</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::~ArithmeticalDSS()</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> {</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> }</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  </div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> inline</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> bool</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::isValid() const</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> {</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  return functions::checkAll(*this); </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> inline</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> const typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::DSL&</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::dsl() const</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>  return myDSL; </div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> inline</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Coordinate</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::a() const</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>  return myDSL.a(); </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> inline</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Coordinate</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::b() const</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> {</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  return myDSL.b(); </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> }</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> inline</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::mu() const</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>  return myDSL.mu(); </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> }</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></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> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::omega() const</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> {</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  return myDSL.omega(); </div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> }</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> inline</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Vector</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::shift() const</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> {</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  return myDSL.shift(); </div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> }</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  </div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> inline</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Steps</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::steps() const</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> {</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  return myDSL.steps(); </div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> }</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> inline</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::back() const</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> {</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  return myF; </div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span> }</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> inline</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::front() const</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> {</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  return myL; </div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> inline</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Uf() const</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> {</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  return myUf; </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> }</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  </div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> inline</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Ul() const</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> {</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  return myUl; </div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> }</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> inline</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Lf() const</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> {</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  return myLf; </div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> }</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  </div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> inline</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Ll() const</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> {</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  return myLl; </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> }</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> inline</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::remainder(const Point& aPoint) const</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> {</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  return myDSL.remainder(aPoint); </div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> }</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  </div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> inline</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::orthogonalPosition(const Point& aPoint) const</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> {</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  return myDSL.orthogonalPosition(aPoint); </div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> }</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  </div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> inline</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::Position</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::position(const Point& aPoint) const</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> {</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  return myDSL.position(aPoint); </div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> }</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  </div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> inline</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> bool</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::before(const Point& aP1, const Point& aP2) const</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> {</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  return myDSL.before(aP1, aP2); </div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> }</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> inline</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> bool</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::beforeOrEqual(const Point& aP1, const Point& aP2) const</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> {</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  return myDSL.beforeOrEqual(aP1, aP2); </div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> }</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> inline</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> bool</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::isInDSL(const Point& aPoint) const</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> {</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  return myDSL(aPoint); </div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> }</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  </div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> inline</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> bool</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::isInDSS(const Point& aPoint) const</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span> {</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  if (isInDSL(aPoint))</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  {</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  Integer s = position(aPoint);</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  Integer s1 = position(myF);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  Integer s2 = position(myL);</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  </div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  if (s1 == s2)</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  return (aPoint == myF); </div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  else if (s1 < s2)</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  return ( (s >= s1)&&(s <= s2) );</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  else </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  return ( (s >= s2)&&(s <= s1) );</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  }</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  else </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  return false; </div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> }</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  </div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  </div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> inline</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> bool</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> DGtal::ArithmeticalDSS<TCoordinate,TInteger,adjacency>::isInDSL(const DSL& aDSL) const</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> {</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  </div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  // Test whether the DSL and the DSS belong to the same octant or not</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  typename ArithmeticalDSL<TCoordinate,TInteger,adjacency>::Octant::first_type oc;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  std::vector<Point> LPoints;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  if(!(myDSL.sameOctant(aDSL, &oc)))</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  return false;</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  // Consider the leaning points of 'this'.</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  LPoints.push_back(myUf);</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  LPoints.push_back(myLf);</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  LPoints.push_back(myUl);</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  LPoints.push_back(myLl);</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  </div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  typename std::vector<Point>::const_iterator it = LPoints.begin();</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  Point p;</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  bool inDSL = true;</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  while(it != LPoints.end() && inDSL)</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  {</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  p = *it;</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  if(!aDSL.isInDSL(p))</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  inDSL = false;</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  ++it;</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  }</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  </div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  return inDSL;</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> }</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  </div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  </div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  </div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span> inline</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> bool</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> DGtal::ArithmeticalDSS<TCoordinate,TInteger,adjacency>::isInDSL(const DSL& aDSL, std::vector<Point> &Ulp, std::vector<Point> &Llp, Point &outP) const</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span> {</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  // Test whether the DSL and the DSS belong to the same octant or not</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  typename ArithmeticalDSL<TCoordinate,TInteger,adjacency>::Octant::first_type oc;</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  std::vector<Point> LPoints;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  Ulp.clear(); Llp.clear();</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  outP = Point(0,0);</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  if(!(myDSL.sameOctant(aDSL, &oc)))</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  return false;</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  </div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  // Consider the leaning points of 'this' </div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  LPoints.push_back(myLf);</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  LPoints.push_back(myUf);</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  LPoints.push_back(myLl);</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  LPoints.push_back(myUl);</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  </div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  typename std::vector<Point>::const_iterator it = LPoints.begin();</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  Point p;</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  bool inDSL = true;</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  while(it != LPoints.end() && inDSL)</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  {</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  p = *it;</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  if(!aDSL.isInDSL(p))</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  inDSL = false;</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  else</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  {</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  // store the points of the DSS that are leaning points for the DSL</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  if(aDSL.isUpperLeaningPoint(p))</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  Ulp.push_back(p); </div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  if(aDSL.isLowerLeaningPoint(p))</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  Llp.push_back(p); </div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  ++it;</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  }</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  }</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  </div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  if(!inDSL)</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  outP = *it; </div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  return inDSL;</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> }</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  </div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  </div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  </div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span> inline</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span> ::computeUnion(const ArithmeticalDSS<TCoordinate, TInteger, adjacency>& aOther) const</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span> {</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  </div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  typename ArithmeticalDSL<TCoordinate,TInteger,adjacency>::Octant::first_type oc;</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  bool easyCase;</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  </div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  typedef DGtal::ArithmeticalDSS<TCoordinate,TInteger,adjacency> DSS;</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  typedef DGtal::ArithmeticalDSSFactory<TCoordinate, TInteger, adjacency> Factory;</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  DSS DSSres(Point(0,0)),DSS1(Point(0,0)),DSS2(Point(0,0));</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  </div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  // Test whether the two DSSs belong to the same octant or not</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  if(!(myDSL.sameOctant(aOther.dsl(), &oc)))</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  return ArithmeticalDSS(Point(0,0));</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  </div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  if(beforeOrEqual(myL,aOther.front()))</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  {</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  DSS1 = DSS(*this);</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  DSS2 = DSS(aOther);</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  }</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  else</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  {</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  DSS1 = DSS(aOther);</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  DSS2 = DSS(*this);</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  }</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  </div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  // Test connectivity</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  if(beforeOrEqual(DSS2.back(),DSS1.front()))</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  easyCase = true;</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  else</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  {</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  Vector step = DSS2.back() - DSS1.front(); </div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  Coordinate deviation = DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::norm(step[0], step[1]);</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  </div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  Vector dir;</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  if(oc == 0 || oc == 3 || oc == 4 || oc == 7)</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  dir = Vector(0,1); else dir = Vector(1,0);</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  </div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  DGtal::IntegerComputer<Integer> ic;</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  if (deviation <= NumberTraits<Coordinate>::ONE || ic.dotProduct(step,dir) == NumberTraits<TInteger>::ZERO) </div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  easyCase = true; else easyCase = false;</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  }</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  </div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  </div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  Point newUf, newUl, newLf, newLl;</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  std::vector<Point> LPoints;</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  </div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  // Test whether DSS2 belongs to the DSL supporting DSS1 </div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  std::vector<Point> UlPoints, LlPoints;</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  Point outP;</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  bool inDSL = DSS2.isInDSL(DSS1.dsl(),UlPoints,LlPoints,outP);</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  </div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  if(inDSL) // DSS2 in included in the DSL supporting DSS1</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  {</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  // if DSS1 is totally included into DSS2</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  if(beforeOrEqual(DSS2.back(),DSS1.back()))</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  DSSres = DSS2;</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  else</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  {</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  if(easyCase) // the leaning points are updated in constant time</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  { </div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  // if a upper leaning point of myDSL was found on aOther</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  if(!UlPoints.empty())</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  newUl = UlPoints.back(); // update the last upper leaning point with the furthest leaning point found</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  else</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  newUl = DSS1.Ul();</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  </div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  // if a lower leaning point of myDSL was found on aOther </div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  if(!LlPoints.empty())</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  newLl = LlPoints.back(); // update the last lower leaning point with the furthest leaning point found</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  else</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  newLl = DSS1.Ll();</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  DSSres = ArithmeticalDSS<TCoordinate,TInteger,adjacency>(DSS1.a(),DSS1.b(),DSS1.back(),DSS2.front(),DSS1.Uf(),newUl,DSS1.Lf(),newLl);</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  </div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  }</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  else // leaning points may lie between DSS1 and DSS2</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  DSSres = Factory::createDSS(DSS1.a(),DSS1.b(),DSS1.back(),DSS2.front(),DSS1.Uf());</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  }</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  return DSSres;</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  }</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  </div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  // If DSS2 does not belong to the DSL supporting DSS1, the</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  // remainder of the "out" point is used to infer the two candidate</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  // critical points. </div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  Point aUf, aLf;</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  // Candidate critical points are stored in Lf, Ll, Uf, Ul</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  if(DSS1.remainder(outP)>=(DSS1.dsl()).myUpperBound+1) // lower exterior point -> the slope decreases</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  {</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  aUf = DSS1.Ul();</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  aLf = DSS1.Lf();</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  }</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  else // remainder(outP) < 0: upper exterior point -> the slope increases</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  {</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  aUf = DSS1.Uf();</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  aLf = DSS1.Ll();</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  }</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  </div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  </div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  // Test whether DSS1 belongs to the supporting DSL of DSS2</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  std::vector<Point> UfPoints, LfPoints;</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  inDSL = DSS1.isInDSL(DSS2.dsl(),UfPoints,LfPoints,outP);</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  </div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  if(inDSL) // DSS1 in included in the DSL supporting DSS2</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  {</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  // if DSS1 is totally included into DSS2</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  if(beforeOrEqual(DSS2.back(),DSS1.back()))</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  DSSres = DSS2;</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  else</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  {</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  if(easyCase)</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  {</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  // if a upper leaning point of DSS2 supporting DSL was found on DSS1</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  if(!UfPoints.empty())</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  newUf = UfPoints.front(); // update the first upper leaning point with the first leaning point found</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  else</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  newUf = DSS2.Uf();</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  </div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  // if a lower leaning point of DSS2 supporting DSL was found on DSS1 </div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  if(!LfPoints.empty()) </div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  newLf = LfPoints.front(); // update the first lower leaning point with the first leaning point found</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  else</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  newLf = DSS2.Lf();</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  DSSres = ArithmeticalDSS<TCoordinate,TInteger,adjacency>(DSS2.a(),DSS2.b(),DSS1.back(),DSS2.front(),newUf,DSS2.Ul(),newLf,DSS2.Ll());</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  }</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  else</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  DSSres = Factory::createDSS(DSS2.a(),DSS2.b(),DSS1.back(),DSS2.front(),DSS2.Ul());</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  }</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  return DSSres;</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  } </div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  </div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  // If DSS1 does not belong to the DSL supporting DSS2, the</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  // remainder of the "out" point is used to infer the two candidate</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  // critical points. </div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  Point aUl, aLl;</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  </div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  if(DSS2.remainder(outP)>=(DSS2.dsl()).myUpperBound+1) // lower exterior point -> the slope increases</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  {</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  aUl = DSS2.Uf();</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  aLl = DSS2.Ll();</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  }</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  else // remainder(outP) < 0: upper exterior point -> the slope decreases</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  {</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  aUl = DSS2.Ul();</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  aLl = DSS2.Lf();</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  }</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  </div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  // Four candidate critical points are known in Uf, Lf, Ul, Ll</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  // If only two different candidates, no solution</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  if(aUf==aUl && aLf==aLl)</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  return ArithmeticalDSS(Point(0,0));</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  </div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  // Otherwise, compute the exact critical points </div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  Integer aB = aLl[0]-aLf[0];</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  Integer aA = aLl[1]-aLf[1];</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  Vector shiftRes = DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::shift(aA,aB);</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  Integer aMu = -DSL::remainder(aA,aB,shiftRes) + 1 + DSL::remainder(aA,aB,aLf); </div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  DSL DSLLower(aA,aB,aMu); // DSL defined by the two candidate lower</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  // leaning points</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  </div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  aB = aUl[0]-aUf[0];</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  aA = aUl[1]-aUf[1];</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  aMu = DSL::remainder(aA,aB,aUf);</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  DSL DSLUpper(aA,aB,aMu); // DSL defined by the two candidate upper</div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  // leaning points</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  </div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  bool LPointsInDSL = DSLUpper.isInDSL(aLf) && DSLUpper.isInDSL(aLl);</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  bool UPointsInDSL = DSLLower.isInDSL(aUf) && DSLLower.isInDSL(aUl);</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  </div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  // DSS1 \cup DSS2 is not part of a DSL</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  if((aUf == aUl && !UPointsInDSL) || (aLf==aLl && !LPointsInDSL) || (!LPointsInDSL && !UPointsInDSL)) </div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  return ArithmeticalDSS(Point(0,0));</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  </div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  Integer aRes, bRes;</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  </div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  if(LPointsInDSL && UPointsInDSL)</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  { // four critical points</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  if(DSLUpper.a() != NumberTraits<TInteger>::ZERO || DSLUpper.b() != NumberTraits<TInteger>::ZERO) // a and b may be null</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  // if Ul and Uf are confounded</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  {</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  aRes = DSLUpper.a(); </div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  bRes = DSLUpper.b(); </div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  }</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  else</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  {</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  aRes = DSLLower.a(); </div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  bRes = DSLLower.b(); </div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  }</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  }</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  else</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  { // three critical points only</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  if(LPointsInDSL)</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  {</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  aRes = DSLUpper.a();</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  bRes = DSLUpper.b();</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  // test which one of Lf or Ll is closer from the DSL defined by the two</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  // upper leaning points</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  </div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  if(DSLUpper.remainder(aLf) > DSLUpper.remainder(aLl))</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  aLl = aLf; // Ll is not a critical point</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  else</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  aLf = aLl; // Lf is not a critical point</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  }</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  else // UPointsInDSL == true</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  {</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  aRes = DSLLower.a();</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  bRes = DSLLower.b();</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  // test which one of Uf or Ul is closer from the DSL defined by the two</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  // lower leaning points</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  if(DSLLower.remainder(aUf) < DSLLower.remainder(aUl))</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  aUl = aUf;</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  else</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  aUf = aUl;</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  }</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  }</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  </div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  // if the two DSSs are connected, or DSS1 last point and DSS2 first</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  // point have the same abscissa (or ordinate, depending on the octant) we are done.</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  if(easyCase)</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  return ArithmeticalDSS<TCoordinate, TInteger, adjacency>(aRes,bRes,DSS1.back(),DSS2.front(),aUf,aUl,aLf,aLl);</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  </div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  </div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  // Compute vectors of maximal and minimal slope</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  shiftRes = DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::shift(aRes,bRes);</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  Vector Vup = (aLl-shiftRes) - aUf;</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  Vector Vlow = aUl - (aLf-shiftRes);</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  </div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  typedef DGtal::SternBrocot<TInteger, TInteger> SB; // type of Stern-Brocot tree</div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  typedef typename SB::Fraction Fraction; // type of fraction</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  </div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  DGtal::functors::Abs<TInteger> absComputer;</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  </div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  Integer p = absComputer(Vlow[0])<absComputer(Vlow[1])?absComputer(Vlow[0]):absComputer(Vlow[1]);</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  Integer q = absComputer(Vlow[0])<absComputer(Vlow[1])?absComputer(Vlow[1]):absComputer(Vlow[0]);</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  Fraction low(p,q); // a fraction p/q is such that p>0, q>0 and p<=q </div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  </div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  p = absComputer(Vup[0])<absComputer(Vup[1])?absComputer(Vup[0]):absComputer(Vup[1]);</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  q = absComputer(Vup[0])<absComputer(Vup[1])?absComputer(Vup[1]):absComputer(Vup[0]);</div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  Fraction up(p,q);</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  </div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  // Compute the fraction of smallest denominator between low and up</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  Fraction res = low.simplestFractionInBetween(up);</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  </div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  // Replace the result in the good octant</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  Integer aFinal,bFinal;</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  if(aRes < NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  aFinal = (absComputer(aRes)<absComputer(bRes))?-res.p():-res.q();</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  else</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  aFinal = (absComputer(aRes)<absComputer(bRes))?res.p():res.q();</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  </div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  if(bRes < NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  bFinal = (absComputer(aRes)<absComputer(bRes))?-res.q():-res.p();</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  else</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  bFinal = (absComputer(aRes)<absComputer(bRes))?res.q():res.p();</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  </div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  </div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  if(aUf == aUl)</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  {</div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  DSSres = Factory::createDSS(aFinal,bFinal,DSS1.back(),DSS2.front(),aUf);</div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  }</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  else</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  {</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  typedef SimpleMatrix<Integer,2,2> Matrix;</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  Matrix A; A.clear();</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  A.setComponent(0,0,bFinal);A.setComponent(1,0,aFinal);A.setComponent(0,1,(aUf-aUl)[0]);A.setComponent(1,1,(aUf-aUl)[1]);</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  if(DGtal::SimpleMatrixSpecializations<Matrix,2,2>::determinant(A)>NumberTraits<TInteger>::ZERO) </div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  DSSres = Factory::createDSS(aFinal,bFinal,DSS1.back(),DSS2.front(),aUf);</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  else</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  DSSres = Factory::createDSS(aFinal,bFinal,DSS1.back(),DSS2.front(),aUl);</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  }</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  </div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  return DSSres;</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span> }</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  </div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  </div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span> inline</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span> bool</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::operator()(const Point& aPoint) const</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span> {</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  return isInDSS(aPoint); </div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span> }</div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  </div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span> inline</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::begin() const</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span> {</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  return ConstIterator(&myDSL, myF);</div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span> }</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  </div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span> inline</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::end() const</div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span> {</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  ConstIterator it(&myDSL, myL); </div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  it++; </div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  return it;</div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span> }</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  </div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span> inline</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::ConstReverseIterator</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::rbegin() const</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span> {</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  return ConstReverseIterator( end() );</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span> }</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  </div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span> inline</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span> typename DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::ConstReverseIterator</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::rend() const</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span> {</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  return ConstReverseIterator( begin() );</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span> }</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  </div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span> inline</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span> void</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::selfDisplay ( std::ostream & out ) const</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span> {</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  out << "[ArithmeticalDSS] ";</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  out << myDSL; </div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  out << "from " << myF << " to " << myL << std::endl; </div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  out << "upper leaning points: " << myUf << " " << myUl << std::endl; </div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  out << "lower leaning points: " << myLf << " " << myLl; </div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span> }</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  </div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span> inline</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span> unsigned short int</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span> DGtal::ArithmeticalDSS<TCoordinate, TInteger, adjacency>::</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span> isExtendableFront( const Point& aNewPoint ) const</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span> {</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  Vector step = aNewPoint - myL; </div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  Coordinate deviation = DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::norm(step[0], step[1]);</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  </div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  //if the two last points are confounded OK</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  if (deviation == NumberTraits<Coordinate>::ZERO) </div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  return 9; </div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  </div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  //if the two last points are not connected KO </div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  else if (deviation > NumberTraits<Coordinate>::ONE) </div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  return 0;</div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  </div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  //if the first step does not exist yet OK</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  else if ( (myDSL.mySteps.first[0] == NumberTraits<Coordinate>::ZERO)</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  &&(myDSL.mySteps.first[1] == NumberTraits<Coordinate>::ZERO) ) </div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  return 1; </div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  </div>