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<div class="title">SparseUtil.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<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>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<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>&#160;<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>&#160;<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>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_SPARSEUTIL_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_SPARSEUTIL_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#ifdef NDEBUG</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_DBG_SPARSE(X)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#else</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_DBG_SPARSE(X) X</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, Op) \</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">template&lt;typename OtherDerived&gt; \</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">EIGEN_STRONG_INLINE Derived&amp; operator Op(const Eigen::SparseMatrixBase&lt;OtherDerived&gt;&amp; other) \</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">{ \</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">  return Base::operator Op(other.derived()); \</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">} \</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">EIGEN_STRONG_INLINE Derived&amp; operator Op(const Derived&amp; other) \</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">{ \</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">  return Base::operator Op(other); \</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">}</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#define EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, Op) \</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">template&lt;typename Other&gt; \</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">EIGEN_STRONG_INLINE Derived&amp; operator Op(const Other&amp; scalar) \</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">{ \</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">  return Base::operator Op(scalar); \</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">}</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATORS(Derived) \</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, =) \</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, +=) \</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, -=) \</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, *=) \</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, /=)</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#define _EIGEN_SPARSE_PUBLIC_INTERFACE(Derived, BaseClass) \</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">  typedef BaseClass Base; \</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">  typedef typename Eigen::internal::traits&lt;Derived &gt;::Scalar Scalar; \</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">  typedef typename Eigen::NumTraits&lt;Scalar&gt;::Real RealScalar; \</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">  typedef typename Eigen::internal::nested&lt;Derived &gt;::type Nested; \</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">  typedef typename Eigen::internal::traits&lt;Derived &gt;::StorageKind StorageKind; \</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">  typedef typename Eigen::internal::traits&lt;Derived &gt;::Index Index; \</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">  enum { RowsAtCompileTime = Eigen::internal::traits&lt;Derived &gt;::RowsAtCompileTime, \</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">        ColsAtCompileTime = Eigen::internal::traits&lt;Derived &gt;::ColsAtCompileTime, \</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">        Flags = Eigen::internal::traits&lt;Derived &gt;::Flags, \</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">        CoeffReadCost = Eigen::internal::traits&lt;Derived &gt;::CoeffReadCost, \</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">        SizeAtCompileTime = Base::SizeAtCompileTime, \</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">        IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">  using Base::derived; \</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">  using Base::const_cast_derived;</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#define EIGEN_SPARSE_PUBLIC_INTERFACE(Derived) \</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">  _EIGEN_SPARSE_PUBLIC_INTERFACE(Derived, Eigen::SparseMatrixBase&lt;Derived &gt;)</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="keyword">const</span> <span class="keywordtype">int</span> CoherentAccessPattern     = 0x1;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="keyword">const</span> <span class="keywordtype">int</span> InnerRandomAccessPattern  = 0x2 | CoherentAccessPattern;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="keyword">const</span> <span class="keywordtype">int</span> OuterRandomAccessPattern  = 0x4 | CoherentAccessPattern;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="keyword">const</span> <span class="keywordtype">int</span> RandomAccessPattern       = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt; <span class="keyword">class </span>SparseMatrixBase;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Flags = 0, <span class="keyword">typename</span> _Index = <span class="keywordtype">int</span>&gt;  <span class="keyword">class </span>SparseMatrix;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Flags = 0, <span class="keyword">typename</span> _Index = <span class="keywordtype">int</span>&gt;  <span class="keyword">class </span>DynamicSparseMatrix;</div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseVector.html">   73</a></span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Flags = 0, <span class="keyword">typename</span> _Index = <span class="keywordtype">int</span>&gt;  <span class="keyword">class </span><a class="code" href="classEigen_1_1SparseVector.html">SparseVector</a>;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Flags = 0, <span class="keyword">typename</span> _Index = <span class="keywordtype">int</span>&gt;  <span class="keyword">class </span><a class="code" href="classEigen_1_1MappedSparseMatrix.html">MappedSparseMatrix</a>;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType, <span class="keywordtype">int</span> Mode&gt;           <span class="keyword">class </span>SparseTriangularView;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> UpLo&gt;  <span class="keyword">class </span><a class="code" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;              <span class="keyword">class </span>SparseDiagonalProduct;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt; <span class="keyword">class </span>SparseView;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;        <span class="keyword">class </span>SparseSparseProduct;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;        <span class="keyword">class </span>SparseTimeDenseProduct;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;        <span class="keyword">class </span>DenseTimeSparseProduct;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">bool</span> Transpose&gt; <span class="keyword">class </span>SparseDenseOuterProduct;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt; <span class="keyword">struct </span>SparseSparseProductReturnType;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;template&lt;typename Lhs, typename Rhs, int InnerSize = internal::traits&lt;Lhs&gt;::ColsAtCompileTime&gt; <span class="keyword">struct </span>DenseSparseProductReturnType;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;template&lt;typename Lhs, typename Rhs, int InnerSize = internal::traits&lt;Lhs&gt;::ColsAtCompileTime&gt; <span class="keyword">struct </span>SparseDenseProductReturnType;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType,<span class="keywordtype">int</span> UpLo&gt; <span class="keyword">class </span>SparseSymmetricPermutationProduct;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T,<span class="keywordtype">int</span> Rows,<span class="keywordtype">int</span> Cols&gt; <span class="keyword">struct </span>sparse_eval;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt; <span class="keyword">struct </span>eval&lt;T,<a class="code" href="structEigen_1_1Sparse.html">Sparse</a>&gt;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  : <span class="keyword">public</span> sparse_eval&lt;T, traits&lt;T&gt;::RowsAtCompileTime,traits&lt;T&gt;::ColsAtCompileTime&gt;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;{};</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T,<span class="keywordtype">int</span> Cols&gt; <span class="keyword">struct </span>sparse_eval&lt;T,1,Cols&gt; {</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Scalar _Scalar;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Index _Index;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseVector.html">SparseVector&lt;_Scalar, RowMajor, _Index&gt;</a> type;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;};</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T,<span class="keywordtype">int</span> Rows&gt; <span class="keyword">struct </span>sparse_eval&lt;T,Rows,1&gt; {</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Scalar _Scalar;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Index _Index;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keyword">typedef</span> SparseVector&lt;_Scalar, ColMajor, _Index&gt; type;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;};</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T,<span class="keywordtype">int</span> Rows,<span class="keywordtype">int</span> Cols&gt; <span class="keyword">struct </span>sparse_eval {</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Scalar _Scalar;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Index _Index;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <span class="keyword">enum</span> { _Options = ((traits&lt;T&gt;::Flags&amp;<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>)==<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a> };</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keyword">typedef</span> SparseMatrix&lt;_Scalar, _Options, _Index&gt; type;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;};</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt; <span class="keyword">struct </span>sparse_eval&lt;T,1,1&gt; {</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Scalar _Scalar;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keyword">typedef</span> Matrix&lt;_Scalar, 1, 1&gt; type;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;};</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt; <span class="keyword">struct </span>plain_matrix_type&lt;T,Sparse&gt;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;{</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Scalar _Scalar;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> traits&lt;T&gt;::Index _Index;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  <span class="keyword">enum</span> { _Options = ((traits&lt;T&gt;::Flags&amp;<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>)==<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a> };</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keyword">typedef</span> SparseMatrix&lt;_Scalar, _Options, _Index&gt; type;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;};</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index=<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>&gt;</div>
<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="classEigen_1_1Triplet.html">  147</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1Triplet.html">Triplet</a></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;{</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  <a class="code" href="classEigen_1_1Triplet.html">Triplet</a>() : m_row(0), m_col(0), m_value(0) {}</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  <a class="code" href="classEigen_1_1Triplet.html">Triplet</a>(<span class="keyword">const</span> Index&amp; i, <span class="keyword">const</span> Index&amp; j, <span class="keyword">const</span> Scalar&amp; v = Scalar(0))</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    : m_row(i), m_col(j), m_value(v)</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  {}</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="classEigen_1_1Triplet.html#aac82d1747008a85ad9b40da9812e7379">  157</a></span>&#160;  <span class="keyword">const</span> Index&amp; <a class="code" href="classEigen_1_1Triplet.html#aac82d1747008a85ad9b40da9812e7379">row</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_row; }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="classEigen_1_1Triplet.html#a5c8deff978911c3cfa7d0aeec07d32d7">  160</a></span>&#160;  <span class="keyword">const</span> Index&amp; <a class="code" href="classEigen_1_1Triplet.html#a5c8deff978911c3cfa7d0aeec07d32d7">col</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_col; }</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="classEigen_1_1Triplet.html#a149ff1275c440f4c880b95d7af07cc6a">  163</a></span>&#160;  <span class="keyword">const</span> Scalar&amp; <a class="code" href="classEigen_1_1Triplet.html#a149ff1275c440f4c880b95d7af07cc6a">value</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  Index m_row, m_col;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  Scalar m_value;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;};</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="preprocessor">#endif // EIGEN_SPARSEUTIL_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="classEigen_1_1Triplet_html_a149ff1275c440f4c880b95d7af07cc6a"><div class="ttname"><a href="classEigen_1_1Triplet.html#a149ff1275c440f4c880b95d7af07cc6a">Eigen::Triplet::value</a></div><div class="ttdeci">const Scalar &amp; value() const </div><div class="ttdef"><b>Definition:</b> SparseUtil.h:163</div></div>
<div class="ttc" id="classEigen_1_1SparseSelfAdjointView_html"><div class="ttname"><a href="classEigen_1_1SparseSelfAdjointView.html">Eigen::SparseSelfAdjointView</a></div><div class="ttdoc">Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix. </div><div class="ttdef"><b>Definition:</b> SparseSelfAdjointView.h:49</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">Eigen::ColMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:264</div></div>
<div class="ttc" id="classEigen_1_1Triplet_html_a5c8deff978911c3cfa7d0aeec07d32d7"><div class="ttname"><a href="classEigen_1_1Triplet.html#a5c8deff978911c3cfa7d0aeec07d32d7">Eigen::Triplet::col</a></div><div class="ttdeci">const Index &amp; col() const </div><div class="ttdef"><b>Definition:</b> SparseUtil.h:160</div></div>
<div class="ttc" id="classEigen_1_1SparseVector_html"><div class="ttname"><a href="classEigen_1_1SparseVector.html">Eigen::SparseVector</a></div><div class="ttdoc">a sparse vector class </div><div class="ttdef"><b>Definition:</b> SparseUtil.h:73</div></div>
<div class="ttc" id="structEigen_1_1Sparse_html"><div class="ttname"><a href="structEigen_1_1Sparse.html">Eigen::Sparse</a></div><div class="ttdef"><b>Definition:</b> SparseCore:32</div></div>
<div class="ttc" id="classEigen_1_1Triplet_html"><div class="ttname"><a href="classEigen_1_1Triplet.html">Eigen::Triplet</a></div><div class="ttdoc">A small structure to hold a non zero as a triplet (i,j,value). </div><div class="ttdef"><b>Definition:</b> SparseUtil.h:147</div></div>
<div class="ttc" id="group__flags_html_ga7bd49e7b260e869e10fb9dc4fd081a85"><div class="ttname"><a href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:53</div></div>
<div class="ttc" id="classEigen_1_1MappedSparseMatrix_html"><div class="ttname"><a href="classEigen_1_1MappedSparseMatrix.html">Eigen::MappedSparseMatrix</a></div><div class="ttdoc">Sparse matrix. </div><div class="ttdef"><b>Definition:</b> MappedSparseMatrix.h:31</div></div>
<div class="ttc" id="classEigen_1_1Triplet_html_aac82d1747008a85ad9b40da9812e7379"><div class="ttname"><a href="classEigen_1_1Triplet.html#aac82d1747008a85ad9b40da9812e7379">Eigen::Triplet::row</a></div><div class="ttdeci">const Index &amp; row() const </div><div class="ttdef"><b>Definition:</b> SparseUtil.h:157</div></div>
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