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<div class="title">BandMatrix.h</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef EIGEN_BANDMATRIX_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_BANDMATRIX_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span>Eigen { </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> <span class="keyword">namespace </span>internal {</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> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">class </span>BandMatrixBase : <span class="keyword">public</span> EigenBase<Derived></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> {</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keyword">public</span>:</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>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  Flags = internal::traits<Derived>::Flags,</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  CoeffReadCost = internal::traits<Derived>::CoeffReadCost,</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime,</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime,</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime,</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  Supers = internal::traits<Derived>::Supers,</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  Subs = internal::traits<Derived>::Subs,</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  Options = internal::traits<Derived>::Options</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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<Derived>::Scalar Scalar;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keyword">typedef</span> Matrix<Scalar,RowsAtCompileTime,ColsAtCompileTime> DenseMatrixType;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> DenseMatrixType::Index Index;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<Derived>::CoefficientsType CoefficientsType;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keyword">typedef</span> EigenBase<Derived> Base;</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>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  DataRowsAtCompileTime = ((Supers!=<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>) && (Subs!=<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>))</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  ? 1 + Supers + Subs</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  : <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>,</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  SizeAtCompileTime = EIGEN_SIZE_MIN_PREFER_DYNAMIC(RowsAtCompileTime,ColsAtCompileTime)</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  };</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">using</span> <a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">Base::derived</a>;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keyword">using</span> <a class="code" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">Base::rows</a>;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">using</span> <a class="code" href="structEigen_1_1EigenBase.html#aaca1908a5ec508a25ff0a8bca803e5f3">Base::cols</a>;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">inline</span> Index supers()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>().supers(); }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">inline</span> Index subs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>().subs(); }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">inline</span> <span class="keyword">const</span> CoefficientsType& coeffs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>().coeffs(); }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">inline</span> CoefficientsType& coeffs() { <span class="keywordflow">return</span> <a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>().coeffs(); }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">inline</span> Block<CoefficientsType,Dynamic,1> col(Index i)</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>  EIGEN_STATIC_ASSERT((Options&<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>)==0,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  Index start = 0;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  Index len = coeffs().rows();</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">if</span> (i<=supers())</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  start = supers()-i;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  len = (std::min)(<a class="code" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>(),std::max<Index>(0,coeffs().rows() - (supers()-i)));</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i>=<a class="code" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()-subs())</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  len = std::max<Index>(0,coeffs().rows() - (i + 1 - <a class="code" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>() + subs()));</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> Block<CoefficientsType,Dynamic,1>(coeffs(), start, i, len, 1);</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="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">inline</span> Block<CoefficientsType,1,SizeAtCompileTime> diagonal()</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  { <span class="keywordflow">return</span> Block<CoefficientsType,1,SizeAtCompileTime>(coeffs(),supers(),0,1,(std::min)(<a class="code" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>(),<a class="code" href="structEigen_1_1EigenBase.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols</a>())); }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">inline</span> <span class="keyword">const</span> Block<const CoefficientsType,1,SizeAtCompileTime> diagonal()<span class="keyword"> const</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> Block<const CoefficientsType,1,SizeAtCompileTime>(coeffs(),supers(),0,1,(std::min)(<a class="code" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>(),<a class="code" href="structEigen_1_1EigenBase.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols</a>())); }</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>  <span class="keyword">template</span><<span class="keywordtype">int</span> Index> <span class="keyword">struct </span>DiagonalIntReturnType {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  ReturnOpposite = (Options&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bac2a895b4256c681bdaa7cce26ab4e487">SelfAdjoint</a>) && (((Index)>0 && Supers==0) || ((Index)<0 && Subs==0)),</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  Conjugate = ReturnOpposite && NumTraits<Scalar>::IsComplex,</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  ActualIndex = ReturnOpposite ? -Index : Index,</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  DiagonalSize = (RowsAtCompileTime==Dynamic || ColsAtCompileTime==Dynamic)</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  ? Dynamic</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  : (ActualIndex<0</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  ? EIGEN_SIZE_MIN_PREFER_DYNAMIC(ColsAtCompileTime, RowsAtCompileTime + ActualIndex)</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  : EIGEN_SIZE_MIN_PREFER_DYNAMIC(RowsAtCompileTime, ColsAtCompileTime - ActualIndex))</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>  <span class="keyword">typedef</span> Block<CoefficientsType,1, DiagonalSize> BuildType;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::conditional<Conjugate,</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>,BuildType >,</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  BuildType>::type Type;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  };</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keyword">template</span><<span class="keywordtype">int</span> N> <span class="keyword">inline</span> <span class="keyword">typename</span> DiagonalIntReturnType<N>::Type diagonal()</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  {</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">return</span> <span class="keyword">typename</span> DiagonalIntReturnType<N>::BuildType(coeffs(), supers()-N, (std::max)(0,N), 1, diagonalLength(N));</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="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">template</span><<span class="keywordtype">int</span> N> <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keyword">typename</span> DiagonalIntReturnType<N>::Type diagonal()<span class="keyword"> const</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">return</span> <span class="keyword">typename</span> DiagonalIntReturnType<N>::BuildType(coeffs(), supers()-N, (std::max)(0,N), 1, diagonalLength(N));</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keyword">inline</span> Block<CoefficientsType,1,Dynamic> diagonal(Index i)</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  eigen_assert((i<0 && -i<=subs()) || (i>=0 && i<=supers()));</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">return</span> Block<CoefficientsType,1,Dynamic>(coeffs(), supers()-i, std::max<Index>(0,i), 1, diagonalLength(i));</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="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">inline</span> <span class="keyword">const</span> Block<const CoefficientsType,1,Dynamic> diagonal(Index i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  eigen_assert((i<0 && -i<=subs()) || (i>=0 && i<=supers()));</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">return</span> Block<const CoefficientsType,1,Dynamic>(coeffs(), supers()-i, std::max<Index>(0,i), 1, diagonalLength(i));</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest> <span class="keyword">inline</span> <span class="keywordtype">void</span> evalTo(Dest& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  dst.resize(rows(),cols());</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  dst.setZero();</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  dst.diagonal() = diagonal();</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> (Index i=1; i<=supers();++i)</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  dst.diagonal(i) = diagonal(i);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">for</span> (Index i=1; i<=subs();++i)</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  dst.diagonal(-i) = diagonal(-i);</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> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  DenseMatrixType toDenseMatrix()<span class="keyword"> const</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  DenseMatrixType res(rows(),cols());</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  evalTo(res);</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">inline</span> Index diagonalLength(Index i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> i<0 ? (std::min)(cols(),rows()+i) : (std::min)(rows(),cols()-i); }</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> };</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="keyword">template</span><<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols, <span class="keywordtype">int</span> _Supers, <span class="keywordtype">int</span> _Subs, <span class="keywordtype">int</span> _Options></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="keyword">struct </span>traits<BandMatrix<_Scalar,_Rows,_Cols,_Supers,_Subs,_Options> ></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">typedef</span> _Scalar Scalar;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">typedef</span> Dense StorageKind;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">typedef</span> DenseIndex Index;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  CoeffReadCost = NumTraits<Scalar>::ReadCost,</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  RowsAtCompileTime = _Rows,</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  ColsAtCompileTime = _Cols,</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  MaxRowsAtCompileTime = _Rows,</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  MaxColsAtCompileTime = _Cols,</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  Flags = <a class="code" href="group__flags.html#ga64e21b7543bdedce27f013512a4403a3">LvalueBit</a>,</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  Supers = _Supers,</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  Subs = _Subs,</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  Options = _Options,</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  DataRowsAtCompileTime = ((Supers!=<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>) && (Subs!=Dynamic)) ? 1 + Supers + Subs : Dynamic</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>  <span class="keyword">typedef</span> Matrix<Scalar,DataRowsAtCompileTime,ColsAtCompileTime,Options&RowMajor?RowMajor:ColMajor> CoefficientsType;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> };</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="keyword">template</span><<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> Rows, <span class="keywordtype">int</span> Cols, <span class="keywordtype">int</span> Supers, <span class="keywordtype">int</span> Subs, <span class="keywordtype">int</span> Options></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">class </span>BandMatrix : <span class="keyword">public</span> BandMatrixBase<BandMatrix<_Scalar,Rows,Cols,Supers,Subs,Options> ></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> {</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<BandMatrix>::Scalar Scalar;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<BandMatrix>::Index Index;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<BandMatrix>::CoefficientsType CoefficientsType;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">inline</span> BandMatrix(Index rows=Rows, Index cols=Cols, Index supers=Supers, Index subs=Subs)</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  : m_coeffs(1+supers+subs,cols),</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  m_rows(rows), m_supers(supers), m_subs(subs)</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  {</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> </div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_rows.value(); }</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs.cols(); }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keyword">inline</span> Index supers()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_supers.value(); }</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">inline</span> Index subs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_subs.value(); }</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>  <span class="keyword">inline</span> <span class="keyword">const</span> CoefficientsType& coeffs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">inline</span> CoefficientsType& coeffs() { <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  CoefficientsType m_coeffs;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  internal::variable_if_dynamic<Index, Rows> m_rows;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  internal::variable_if_dynamic<Index, Supers> m_supers;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  internal::variable_if_dynamic<Index, Subs> m_subs;</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> <span class="keyword">template</span><<span class="keyword">typename</span> _CoefficientsType,<span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols, <span class="keywordtype">int</span> _Supers, <span class="keywordtype">int</span> _Subs,<span class="keywordtype">int</span> _Options></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="keyword">class </span>BandMatrixWrapper;</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> <span class="keyword">template</span><<span class="keyword">typename</span> _CoefficientsType,<span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols, <span class="keywordtype">int</span> _Supers, <span class="keywordtype">int</span> _Subs,<span class="keywordtype">int</span> _Options></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="keyword">struct </span>traits<BandMatrixWrapper<_CoefficientsType,_Rows,_Cols,_Supers,_Subs,_Options> ></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> {</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> _CoefficientsType::Scalar Scalar;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> _CoefficientsType::StorageKind StorageKind;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> _CoefficientsType::Index Index;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  CoeffReadCost = internal::traits<_CoefficientsType>::CoeffReadCost,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  RowsAtCompileTime = _Rows,</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  ColsAtCompileTime = _Cols,</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  MaxRowsAtCompileTime = _Rows,</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  MaxColsAtCompileTime = _Cols,</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  Flags = <a class="code" href="group__flags.html#ga64e21b7543bdedce27f013512a4403a3">LvalueBit</a>,</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  Supers = _Supers,</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  Subs = _Subs,</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  Options = _Options,</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  DataRowsAtCompileTime = ((Supers!=<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>) && (Subs!=Dynamic)) ? 1 + Supers + Subs : Dynamic</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>  <span class="keyword">typedef</span> _CoefficientsType CoefficientsType;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> };</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="keyword">template</span><<span class="keyword">typename</span> _CoefficientsType,<span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols, <span class="keywordtype">int</span> _Supers, <span class="keywordtype">int</span> _Subs,<span class="keywordtype">int</span> _Options></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="keyword">class </span>BandMatrixWrapper : <span class="keyword">public</span> BandMatrixBase<BandMatrixWrapper<_CoefficientsType,_Rows,_Cols,_Supers,_Subs,_Options> ></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> {</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<BandMatrixWrapper>::Scalar Scalar;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<BandMatrixWrapper>::CoefficientsType CoefficientsType;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<BandMatrixWrapper>::Index Index;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">inline</span> BandMatrixWrapper(<span class="keyword">const</span> CoefficientsType& coeffs, Index rows=_Rows, Index cols=_Cols, Index supers=_Supers, Index subs=_Subs)</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  : m_coeffs(coeffs),</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  m_rows(rows), m_supers(supers), m_subs(subs)</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>  EIGEN_UNUSED_VARIABLE(cols);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="comment">//internal::assert(coeffs.cols()==cols() && (supers()+subs()+1)==coeffs.rows());</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  }</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_rows.value(); }</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs.cols(); }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keyword">inline</span> Index supers()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_supers.value(); }</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">inline</span> Index subs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_subs.value(); }</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keyword">inline</span> <span class="keyword">const</span> CoefficientsType& coeffs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs; }</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>  <span class="keyword">protected</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>  <span class="keyword">const</span> CoefficientsType& m_coeffs;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  internal::variable_if_dynamic<Index, _Rows> m_rows;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  internal::variable_if_dynamic<Index, _Supers> m_supers;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  internal::variable_if_dynamic<Index, _Subs> m_subs;</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> </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Size, <span class="keywordtype">int</span> Options></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="keyword">class </span>TridiagonalMatrix : <span class="keyword">public</span> BandMatrix<Scalar,Size,Size,Options&SelfAdjoint?0:1,1,Options|RowMajor></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> {</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keyword">typedef</span> BandMatrix<Scalar,Size,Size,Options&SelfAdjoint?0:1,1,Options|RowMajor> Base;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Index Index;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  TridiagonalMatrix(Index size = Size) : Base(size,size,Options&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bac2a895b4256c681bdaa7cce26ab4e487">SelfAdjoint</a>?0:1,1) {}</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> </div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keyword">inline</span> <span class="keyword">typename</span> Base::template DiagonalIntReturnType<1>::Type super()</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  { <span class="keywordflow">return</span> Base::template diagonal<1>(); }</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keyword">typename</span> Base::template DiagonalIntReturnType<1>::Type super()<span class="keyword"> const</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> Base::template diagonal<1>(); }</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keyword">inline</span> <span class="keyword">typename</span> Base::template DiagonalIntReturnType<-1>::Type sub()</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  { <span class="keywordflow">return</span> Base::template diagonal<-1>(); }</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keyword">typename</span> Base::template DiagonalIntReturnType<-1>::Type sub()<span class="keyword"> const</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> Base::template diagonal<-1>(); }</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> };</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="preprocessor">#endif // EIGEN_BANDMATRIX_H</span></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">Eigen::RowMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:266</div></div>
<div class="ttc" id="namespaceEigen_html_adc9da5be31bdce40c25a92c27999c0e3"><div class="ttname"><a href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a></div><div class="ttdeci">const int Dynamic</div><div class="ttdef"><b>Definition:</b> Constants.h:21</div></div>
<div class="ttc" id="structEigen_1_1EigenBase_html_aaca1908a5ec508a25ff0a8bca803e5f3"><div class="ttname"><a href="structEigen_1_1EigenBase.html#aaca1908a5ec508a25ff0a8bca803e5f3">Eigen::EigenBase::cols</a></div><div class="ttdeci">Index cols() const </div><div class="ttdef"><b>Definition:</b> EigenBase.h:46</div></div>
<div class="ttc" id="structEigen_1_1EigenBase_html_aa84222add803ad7c9db07dd4dd91d5d9"><div class="ttname"><a href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">Eigen::EigenBase::derived</a></div><div class="ttdeci">Derived & derived()</div><div class="ttdef"><b>Definition:</b> EigenBase.h:34</div></div>
<div class="ttc" id="group__flags_html_ga64e21b7543bdedce27f013512a4403a3"><div class="ttname"><a href="group__flags.html#ga64e21b7543bdedce27f013512a4403a3">Eigen::LvalueBit</a></div><div class="ttdeci">const unsigned int LvalueBit</div><div class="ttdef"><b>Definition:</b> Constants.h:131</div></div>
<div class="ttc" id="group__enums_html_ggab59c1bec446b10af208f977a871d910bac2a895b4256c681bdaa7cce26ab4e487"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910bac2a895b4256c681bdaa7cce26ab4e487">Eigen::SelfAdjoint</a></div><div class="ttdef"><b>Definition:</b> Constants.h:183</div></div>
<div class="ttc" id="structEigen_1_1EigenBase_html_a5552abd83dbd03c85cea6d61fd8875a5"><div class="ttname"><a href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">Eigen::EigenBase::rows</a></div><div class="ttdeci">Index rows() const </div><div class="ttdef"><b>Definition:</b> EigenBase.h:44</div></div>
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