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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 ArithmeticalDSL.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 ArithmeticalDSL.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::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> ::ArithmeticalDSL(const Coordinate& aA, const Coordinate& aB, </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  const Integer& aLowerBound, const Integer& aUpperBound, </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  const Steps& aSteps, const Vector& aShift)</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  :</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  mySteps(aSteps), myShift(aShift), </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  myA(aA), myB(aB), </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  myLowerBound(aLowerBound), myUpperBound(aUpperBound)</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> }</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> inline</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> ::ArithmeticalDSL(const Coordinate& aA, const Coordinate& aB, </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  const Integer& aMu)</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  :</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  mySteps( DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::steps(aA, aB) ), </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  myShift( DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::shift(aA, aB) ),</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  myA(aA), myB(aB), </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  myLowerBound( aMu ), </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  myUpperBound( aMu )</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  if ( (aA != 0)&&(aB !=0 ) )</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  myUpperBound = aMu + remainder( myShift ) - NumberTraits<Integer>::ONE; </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> inline</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> ::ArithmeticalDSL(const ArithmeticalDSL<TCoordinate, TInteger, adjacency>& aOther)</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>  mySteps(aOther.mySteps), myShift(aOther.myShift),</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  myA(aOther.myA), myB(aOther.myB), </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  myLowerBound(aOther.myLowerBound), myUpperBound(aOther.myUpperBound)</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> {}</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> inline</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>&</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> ::operator=(const ArithmeticalDSL<TCoordinate, TInteger, adjacency>& aOther)</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>  if ( this != &aOther )</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>  myA = aOther.myA;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  myB = aOther.myB;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  myLowerBound = aOther.myLowerBound;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  myUpperBound = aOther.myUpperBound;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  mySteps = aOther.mySteps; </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  myShift = aOther.myShift; </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  return *this;</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>  </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> inline</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> ::negate() const</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  return DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>(-myA, -myB, -myUpperBound, -myLowerBound, </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  std::make_pair(-mySteps.first, -mySteps.second), </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  -myShift); </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> inline</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> bool</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> ::equalsTo(const ArithmeticalDSL<TCoordinate, TInteger, adjacency>& aOther) const</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> {</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  return ( (myA == aOther.myA) && </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  (myB == aOther.myB) && </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  (myLowerBound == aOther.myLowerBound) && </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  (myUpperBound == aOther.myUpperBound) );</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  //NB: other redondant members are not tested</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> }</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> inline</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> bool</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> ::operator==(const ArithmeticalDSL<TCoordinate, TInteger, adjacency>& aOther) const</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>  return ( equalsTo(aOther) || equalsTo(aOther.negate()) ); </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> }</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> inline</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> bool</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> ::operator!=(const ArithmeticalDSL<TCoordinate, TInteger, adjacency>& aOther) const</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> {</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  return !( operator==(aOther) ); </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> inline</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> bool</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> ::sameOctant( const ArithmeticalDSL & aOther, typename ArithmeticalDSL<TCoordinate, TInteger,adjacency>::Octant::first_type *theOctant ) const </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  Octant octantThis, octantOther;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  octantThis = this->octant();</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  octantOther = aOther.octant();</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  if(octantThis.first==octantOther.first || octantThis.first==octantOther.second)</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  {</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  *theOctant = octantThis.first;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  return true;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  }</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  else</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  if(octantThis.second==octantOther.first || octantThis.second == octantOther.second)</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>  *theOctant = octantThis.second;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  return true;</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>  else</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  return false;</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> } </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> // ----------------------------------------------------------------------------</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> inline</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> typename DGtal::ArithmeticalDSL<TCoordinate,TInteger,adjacency>::Octant</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> DGtal::ArithmeticalDSL<TCoordinate,TInteger, adjacency></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> ::octant() const</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  Octant res;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  if (myB== NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  if (myA == NumberTraits<TInteger>::ZERO) </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  { //no octant</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  res = std::make_pair(-1,-1);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  else if (myA > NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  { //octant 1,2</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  res = std::make_pair(1,2);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  else // (myA < 0)</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  { //octant 5,6</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  res = std::make_pair(5,6);</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  } </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>  else if (myB> NumberTraits<TInteger>::ZERO)</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>  if (myA == NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  { //octant 0,7</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  res = std::make_pair(0,7);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  }</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  else if (myA > NumberTraits<TInteger>::ZERO)</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>  if (myB== myA)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  { //octant 0,1</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  res = std::make_pair(0,1);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  }</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  else if (myB> myA)</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  { //octant 0</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  res = std::make_pair(0,0);</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>  else // (myB< myA)</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  { //octant 1</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  res = std::make_pair(1,1);</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  }</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  else //(myA < 0)</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  { </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  if (myB== -myA)</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  {</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  res = std::make_pair(6,7);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  else if (myB> -myA)</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  { //octant 7</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  res = std::make_pair(7,7);</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>  else // (myB< -myA)</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  { //octant 6</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  res = std::make_pair(6,6);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  }</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  } </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  else // (myB< 0)</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  { </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  if (myA == NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  { //octant 3,4</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  res = std::make_pair(3,4);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  else if (myA > NumberTraits<TInteger>::ZERO)</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  {</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  if (-myB == myA)</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  res = std::make_pair(2,3);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  }</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  else if (-myB > myA)</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  { //octant 3</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  res = std::make_pair(3,3);</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  }</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  else // (-myB < myA)</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  { //octant 2</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  res = std::make_pair(2,2);</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>  else // (myA < 0)</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  {</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  if (-myB== -myA)</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  {</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  res = std::make_pair(4,5);</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>  else if (-myB> -myA)</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  { //octant 4</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  res = std::make_pair(4,4);</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>  else // (-myB< -myA)</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  { //octant 5</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  res = std::make_pair(5,5);</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  }</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>  }</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>  return res;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  </div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> }</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  </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> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::~ArithmeticalDSL()</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> {</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> inline</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> bool</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::isValid() const</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> {</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  bool flagIsValid; //'true' if valid, 'false' otherwise </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>  if ( (myA != 0) || (myB != 0) )</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>  Integer gcd = IntegerComputer<Coordinate>::staticGcd(myA, myB); </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  if (gcd != NumberTraits<Coordinate>::ONE) </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  flagIsValid = false; //a,b must be relatively prime</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  else if (!checkShiftAndSteps())</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  flagIsValid = false; //redondant parameters must be consistent</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  else </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  flagIsValid = true; </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  }</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  else </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  flagIsValid = false; //a and b cannot be both null</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>  return flagIsValid; </div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> }</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> inline</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> bool</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::checkShiftAndSteps() const</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>  ASSERT( (myA != 0) || (myB != 0) ); </div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  bool flagIsValid; //'true' if valid, 'false' otherwise</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  </div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  if (mySteps != DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::steps(myA, myB))</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  flagIsValid = false; </div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  else if (myShift != DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::shift(myA, myB))</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  flagIsValid = false; </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  else if ( ( (mySteps.second[0] != NumberTraits<Coordinate>::ZERO)</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  ||(mySteps.second[1] != NumberTraits<Coordinate>::ZERO) )</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  &&( (mySteps.first - mySteps.second) != myShift ) )</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  flagIsValid = false;</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  else if ( remainder( myShift ) != (myUpperBound - myLowerBound + NumberTraits<Integer>::ONE) )</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  flagIsValid = false; </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  else </div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  flagIsValid = true; </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>  return flagIsValid; </div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> }</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  </div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> inline</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Coordinate</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::a() const</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>  return myA; </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> }</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  </div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> inline</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Coordinate</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::b() const</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>  return myB; </div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> }</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> inline</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::mu() const</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>  return myLowerBound; </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> }</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> inline</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::omega() const</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>  return remainder(myShift); </div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> }</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> inline</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Position</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::patternLength() const</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>  return ( -static_cast<Position>(myShift[1]) * static_cast<Position>(myB)</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  +static_cast<Position>(myShift[0]) * static_cast<Position>(myA) );</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> }</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> inline</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Vector</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::shift() const</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>  return myShift; </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> }</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> inline</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Steps</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::steps() const</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>  return mySteps; </div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> }</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  </div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> inline</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::remainder(const Coordinate& aA, </div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  const Coordinate& aB, </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  const Point& aPoint)</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> {</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  return static_cast<Integer>(aA) * static_cast<Integer>(aPoint[0])</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  - static_cast<Integer>(aB) * static_cast<Integer>(aPoint[1]);</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>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> inline</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::remainder(const Point& aPoint) const</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> {</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  return DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::remainder(myA, myB, aPoint); </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>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> inline</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::orthogonalPosition(const Point& aPoint) const</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> {</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  return static_cast<Integer>(myB) * static_cast<Integer>(aPoint[0])</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  + static_cast<Integer>(myA) * static_cast<Integer>(aPoint[1]);</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> }</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> inline</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Position</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::position(const Point& aPoint) const</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> {</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  return ( -static_cast<Position>(myShift[1]) * static_cast<Position>(aPoint[0])</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  +static_cast<Position>(myShift[0]) * static_cast<Position>(aPoint[1]) );</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>  </div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> inline</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::getPoint() const</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span> {</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  ASSERT( omega() != NumberTraits<Integer>::ZERO );</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  Integer shiftRemainder = omega(); </div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  Integer q = ( myLowerBound / shiftRemainder ); </div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  if ( (myLowerBound >= NumberTraits<Integer>::ZERO)</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  &&(myLowerBound != (q * shiftRemainder)) )</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  q++; </div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  Point origin = toCoordinate(q) * myShift;</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>  ASSERT( position(origin) == NumberTraits<Position>::ZERO ); </div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  ASSERT( isInDSL(origin) ); </div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  </div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  return origin; </div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> }</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> inline</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Point</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::getPoint(const Position& aPosition) const</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span> {</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  ASSERT( omega() != NumberTraits<Integer>::ZERO );</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  </div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  Integer shiftRemainder = omega();</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  Point startingPoint = static_cast<Coordinate>(aPosition) * mySteps.first;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  Integer bound = (myLowerBound-remainder(startingPoint)); </div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  Integer q = ( bound / shiftRemainder ); </div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  if ( (bound >= NumberTraits<Integer>::ZERO)</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  &&(bound != (q * shiftRemainder)) )</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  q++; </div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  Point res = startingPoint + (toCoordinate(q) * myShift);</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  </div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  ASSERT( position(res) == aPosition ); </div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  ASSERT( isInDSL(res) );</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  </div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  return res; </div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> }</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> inline</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> bool</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::before(const Point& aP1, const Point& aP2) const</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>  return ( position( aP1 ) < position( aP2 ) ); </div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> }</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  </div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span> inline</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> bool</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::beforeOrEqual(const Point& aP1, const Point& aP2) const</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span> {</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  return ( position( aP1 ) <= position( aP2 ) ); </div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> }</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  </div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span> inline</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span> bool</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::isInDSL(const Point& aPoint) const</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span> {</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  Integer r = remainder(aPoint);</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  return ( (r >= myLowerBound)&&(r <= myUpperBound) );</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span> }</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  </div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  </div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span> //------------------------------------------------------------------------------</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span> inline</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span> bool</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> DGtal::ArithmeticalDSL<TCoordinate,TInteger,adjacency>::isUpperLeaningPoint(const Point& aPoint) const</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> {</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  return (remainder(aPoint)==myLowerBound);</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span> }</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  </div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> //----------------------------------------------------------------------------</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span> inline</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span> bool</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span> DGtal::ArithmeticalDSL<TCoordinate,TInteger,adjacency>::isLowerLeaningPoint(const Point& aPoint) const</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>  return (remainder(aPoint)==myUpperBound);</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span> }</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  </div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span> inline</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> bool</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::operator()(const Point& aPoint) const</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span> {</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  return isInDSL(aPoint); </div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span> }</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  </div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span> inline</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::begin(const Point& aPoint) const</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>  ASSERT( isInDSL(aPoint) ); </div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  return ConstIterator(this, aPoint);</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>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> inline</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::end(const Point& aPoint) const</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span> {</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  ASSERT( isInDSL(aPoint) ); </div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  ConstIterator it(this, aPoint); </div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  it++; </div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  return it;</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span> inline</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstReverseIterator</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::rbegin(const Point& aPoint) const</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span> {</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  ASSERT( isInDSL(aPoint) ); </div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  return ConstReverseIterator( end(aPoint) );</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>  </div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> inline</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstReverseIterator</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::rend(const Point& aPoint) const</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>  ASSERT( isInDSL(aPoint) ); </div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  return ConstReverseIterator( begin(aPoint) );</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> }</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span> inline</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> void</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::selfDisplay ( std::ostream & out ) const</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> {</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  out << "[ArithmeticalDSL] ";</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  out << "(" << myA << "," << myB << "," << myLowerBound << "," << omega() << ")" << std::endl; </div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  out << "by steps " << mySteps.first << " " << mySteps.second << std::endl; </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>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span> inline</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Coordinate</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::toCoordinate(const Integer& aI)</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>  return DGtal::detail::toCoordinateImpl<Integer, Coordinate>::cast(aI); </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>  </div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> // Iterators services //</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span> inline</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::ConstIterator()</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  : myDSLPtr(0), myCurrentPoint()</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span> {</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span> }</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span> inline</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span> ::ConstIterator( const ArithmeticalDSL* aDSL, const Point& aPoint )</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  : myDSLPtr(aDSL), myCurrentPoint(aPoint)</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>  myQuantityToAdd = myDSLPtr->remainder(myDSLPtr->mySteps.first);</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  myQuantityToRemove = myQuantityToAdd - myDSLPtr->remainder(myDSLPtr->mySteps.second); </div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  myCurrentRemainder = myDSLPtr->remainder( myCurrentPoint ); </div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span> }</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  </div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span> inline</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> ConstIterator( const ConstIterator & aOther )</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  : myDSLPtr( aOther.myDSLPtr ), myCurrentPoint( aOther.myCurrentPoint ),</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  myQuantityToAdd( aOther.myQuantityToAdd ), </div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  myQuantityToRemove( aOther.myQuantityToRemove ), </div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  myCurrentRemainder( aOther.myCurrentRemainder ) </div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span> { } </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span> inline</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator& </div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span> operator= ( const ConstIterator & aOther ) </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 (this != &aOther)</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  {</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  myDSLPtr = aOther.myDSLPtr; </div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  myCurrentPoint = aOther.myCurrentPoint; </div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  myQuantityToAdd = aOther.myQuantityToAdd; </div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  myQuantityToRemove = aOther.myQuantityToRemove; </div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  myCurrentRemainder = aOther.myCurrentRemainder; </div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  }</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  return *this; </div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span> }</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  </div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span> inline</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::~ConstIterator()</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span> {</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span> }</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  </div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span> inline</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Integer</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::remainder() const </div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span> {</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  return myCurrentRemainder; </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>  </div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span> inline</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Point const</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::dereference() const </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>  return myCurrentPoint; </div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span> inline</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> void</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::increment()</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>  myCurrentRemainder += myQuantityToAdd; </div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  if ( myCurrentRemainder <= myDSLPtr->myUpperBound )</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  {</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  myCurrentPoint += myDSLPtr->mySteps.first; </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>  else</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  {</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  myCurrentRemainder -= myQuantityToRemove; </div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  myCurrentPoint += myDSLPtr->mySteps.second; </div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  }</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span> }</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  </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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span> inline</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span> void</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::decrement()</div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span> {</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  myCurrentRemainder -= myQuantityToAdd; </div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  if ( myCurrentRemainder >= myDSLPtr->myLowerBound )</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  {</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  myCurrentPoint -= myDSLPtr->mySteps.first; </div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  }</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  else</div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  {</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  myCurrentRemainder += myQuantityToRemove; </div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  myCurrentPoint -= myDSLPtr->mySteps.second; </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> }</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  </div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span> inline</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span> bool</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator::</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span> equal(const ConstIterator& aOther) const</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span> {</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  ASSERT( myDSLPtr == aOther.myDSLPtr );</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  return myCurrentPoint == aOther.myCurrentPoint;</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span> }</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span> inline</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span> void</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span> ::advance(const Position& aShift)</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span> {</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  myCurrentPoint = myDSLPtr->getPoint( myDSLPtr->position(myCurrentPoint) + aShift ); </div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span> }</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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span> inline</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span> typename DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::Position</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> DGtal::ArithmeticalDSL<TCoordinate, TInteger, adjacency>::ConstIterator</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> ::distance_to(const ConstIterator& aOther) const</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>  return ( myDSLPtr->position(aOther.myCurrentPoint) - myDSLPtr->position(myCurrentPoint) ); </div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span> }</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  </div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span> // Aliases //</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  </div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span> template <typename TCoordinate, typename TI></div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span> inline</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span> DGtal::StandardDSL<TCoordinate, TI>::</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span> StandardDSL(const Coordinate& aA, </div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  const Coordinate& aB,</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  const Integer& aMu) </div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  : Super(aA, aB, aMu) </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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span> template <typename TCoordinate, typename TI></div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span> inline</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span> DGtal::StandardDSL<TCoordinate, TI>::</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span> StandardDSL ( const StandardDSL & aOther )</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  : Super( aOther ) </div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span> {} </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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span> template <typename TCoordinate, typename TI></div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span> inline</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span> DGtal::StandardDSL<TCoordinate, TI>& </div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span> DGtal::StandardDSL<TCoordinate, TI>::</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span> operator= ( const StandardDSL & aOther )</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span> {</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  if (this != & aOther)</div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  Super::operator=( aOther );</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  return *this; </div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span> }</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  </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> template <typename TCoordinate, typename TI></div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span> inline</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span> DGtal::NaiveDSL<TCoordinate, TI>::</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span> NaiveDSL(const Coordinate& aA, </div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  const Coordinate& aB,</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  const Integer& aMu)</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  : Super(aA, aB, aMu) </div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span> {}</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  </div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span> template <typename TCoordinate, typename TI></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span> inline</div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span> DGtal::NaiveDSL<TCoordinate, TI>::</div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span> NaiveDSL ( const NaiveDSL & aOther )</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  : Super( aOther ) </div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span> {} </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> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span> template <typename TCoordinate, typename TI></div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span> inline</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span> DGtal::NaiveDSL<TCoordinate, TI>& </div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span> DGtal::NaiveDSL<TCoordinate, TI>::</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span> operator= ( const NaiveDSL & aOther )</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span> {</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  if (this != & aOther)</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  Super::operator=( aOther );</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  return *this; </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>  </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> // Implementation of inline functions //</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> template <typename TCoordinate, typename TInteger, unsigned short adjacency></div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span> inline</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span> std::ostream&</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span> DGtal::operator<< ( std::ostream & out, </div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  const ArithmeticalDSL<TCoordinate, TInteger, adjacency> & object )</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>  object.selfDisplay( out );</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  return out;</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> // //</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  </div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  </div>
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