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<div class="title">BlasUtil.h</div> </div>
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<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) 2009-2010 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_BLASUTIL_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_BLASUTIL_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="comment">// This file contains many lightweight helper classes used to</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// implement and control fast level 2 and level 3 BLAS-like routines.</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> <span class="keyword">namespace </span>Eigen {</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> <span class="keyword">namespace </span>internal {</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="comment">// forward declarations</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">template</span><<span class="keyword">typename</span> LhsScalar, <span class="keyword">typename</span> RhsScalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> mr, <span class="keywordtype">int</span> nr, <span class="keywordtype">bool</span> ConjugateLhs=false, <span class="keywordtype">bool</span> ConjugateRhs=false></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">struct </span>gebp_kernel;</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> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> nr, <span class="keywordtype">int</span> StorageOrder, <span class="keywordtype">bool</span> Conjugate = false, <span class="keywordtype">bool</span> PanelMode=false></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">struct </span>gemm_pack_rhs;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> Pack1, <span class="keywordtype">int</span> Pack2, <span class="keywordtype">int</span> StorageOrder, <span class="keywordtype">bool</span> Conjugate = false, <span class="keywordtype">bool</span> PanelMode = false></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">struct </span>gemm_pack_lhs;</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> <span class="keyword">template</span><</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keyword">typename</span> Index,</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keyword">typename</span> LhsScalar, <span class="keywordtype">int</span> LhsStorageOrder, <span class="keywordtype">bool</span> ConjugateLhs,</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keyword">typename</span> RhsScalar, <span class="keywordtype">int</span> RhsStorageOrder, <span class="keywordtype">bool</span> ConjugateRhs,</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordtype">int</span> ResStorageOrder></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">struct </span>general_matrix_matrix_product;</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> <span class="keyword">template</span><<span class="keyword">typename</span> Index, <span class="keyword">typename</span> LhsScalar, <span class="keywordtype">int</span> LhsStorageOrder, <span class="keywordtype">bool</span> ConjugateLhs, <span class="keyword">typename</span> RhsScalar, <span class="keywordtype">bool</span> ConjugateRhs, <span class="keywordtype">int</span> Version=Specialized></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">struct </span>general_matrix_vector_product;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </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> <span class="keyword">template</span><<span class="keywordtype">bool</span> Conjugate> <span class="keyword">struct </span>conj_if;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">template</span><> <span class="keyword">struct </span>conj_if<true> {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keyword">inline</span> T operator()(<span class="keyword">const</span> T& x) { <span class="keywordflow">return</span> numext::conj(x); }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">inline</span> T pconj(<span class="keyword">const</span> T& x) { <span class="keywordflow">return</span> internal::pconj(x); }</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> </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">template</span><> <span class="keyword">struct </span>conj_if<false> {</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">inline</span> <span class="keyword">const</span> T& operator()(<span class="keyword">const</span> T& x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">inline</span> <span class="keyword">const</span> T& pconj(<span class="keyword">const</span> T& x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> };</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar> <span class="keyword">struct </span>conj_helper<Scalar,Scalar,false,false></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  EIGEN_STRONG_INLINE Scalar pmadd(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y, <span class="keyword">const</span> Scalar& c)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pmadd(x,y,c); }</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  EIGEN_STRONG_INLINE Scalar pmul(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pmul(x,y); }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> };</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">template</span><<span class="keyword">typename</span> RealScalar> <span class="keyword">struct </span>conj_helper<std::complex<RealScalar>, std::complex<RealScalar>, false,true></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">typedef</span> std::complex<RealScalar> Scalar;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  EIGEN_STRONG_INLINE Scalar pmadd(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y, <span class="keyword">const</span> Scalar& c)<span class="keyword"> const</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> c + pmul(x,y); }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  EIGEN_STRONG_INLINE Scalar pmul(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> Scalar(numext::real(x)*numext::real(y) + numext::imag(x)*numext::imag(y), numext::imag(x)*numext::real(y) - numext::real(x)*numext::imag(y)); }</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> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">template</span><<span class="keyword">typename</span> RealScalar> <span class="keyword">struct </span>conj_helper<std::complex<RealScalar>, std::complex<RealScalar>, true,false></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>  <span class="keyword">typedef</span> std::complex<RealScalar> Scalar;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  EIGEN_STRONG_INLINE Scalar pmadd(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y, <span class="keyword">const</span> Scalar& c)<span class="keyword"> const</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> c + pmul(x,y); }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  EIGEN_STRONG_INLINE Scalar pmul(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> Scalar(numext::real(x)*numext::real(y) + numext::imag(x)*numext::imag(y), numext::real(x)*numext::imag(y) - numext::imag(x)*numext::real(y)); }</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> <span class="keyword">template</span><<span class="keyword">typename</span> RealScalar> <span class="keyword">struct </span>conj_helper<std::complex<RealScalar>, std::complex<RealScalar>, true,true></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">typedef</span> std::complex<RealScalar> Scalar;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  EIGEN_STRONG_INLINE Scalar pmadd(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y, <span class="keyword">const</span> Scalar& c)<span class="keyword"> const</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> c + pmul(x,y); }</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>  EIGEN_STRONG_INLINE Scalar pmul(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> Scalar& y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> Scalar(numext::real(x)*numext::real(y) - numext::imag(x)*numext::imag(y), - numext::real(x)*numext::imag(y) - numext::imag(x)*numext::real(y)); }</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> };</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">template</span><<span class="keyword">typename</span> RealScalar,<span class="keywordtype">bool</span> Conj> <span class="keyword">struct </span>conj_helper<std::complex<RealScalar>, RealScalar, Conj,false></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">typedef</span> std::complex<RealScalar> Scalar;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  EIGEN_STRONG_INLINE Scalar pmadd(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> RealScalar& y, <span class="keyword">const</span> Scalar& c)<span class="keyword"> const</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> padd(c, pmul(x,y)); }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  EIGEN_STRONG_INLINE Scalar pmul(<span class="keyword">const</span> Scalar& x, <span class="keyword">const</span> RealScalar& y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> conj_if<Conj>()(x)*y; }</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> <span class="keyword">template</span><<span class="keyword">typename</span> RealScalar,<span class="keywordtype">bool</span> Conj> <span class="keyword">struct </span>conj_helper<RealScalar, std::complex<RealScalar>, false,Conj></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">typedef</span> std::complex<RealScalar> Scalar;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  EIGEN_STRONG_INLINE Scalar pmadd(<span class="keyword">const</span> RealScalar& x, <span class="keyword">const</span> Scalar& y, <span class="keyword">const</span> Scalar& c)<span class="keyword"> const</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> padd(c, pmul(x,y)); }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  EIGEN_STRONG_INLINE Scalar pmul(<span class="keyword">const</span> RealScalar& x, <span class="keyword">const</span> Scalar& y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> x*conj_if<Conj>()(y); }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> };</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="keyword">template</span><<span class="keyword">typename</span> From,<span class="keyword">typename</span> To> <span class="keyword">struct </span>get_factor {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">static</span> EIGEN_STRONG_INLINE To run(<span class="keyword">const</span> From& x) { <span class="keywordflow">return</span> x; }</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> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar> <span class="keyword">struct </span>get_factor<Scalar,typename NumTraits<Scalar>::Real> {</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keyword">typename</span> NumTraits<Scalar>::Real run(<span class="keyword">const</span> Scalar& x) { <span class="keywordflow">return</span> numext::real(x); }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> };</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> <span class="comment">// Lightweight helper class to access matrix coefficients.</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// Yes, this is somehow redundant with Map<>, but this version is much much lighter,</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// and so I hope better compilation performance (time and code quality).</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> StorageOrder></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">class </span>blas_data_mapper</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  blas_data_mapper(Scalar* data, Index stride) : m_data(data), m_stride(stride) {}</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  EIGEN_STRONG_INLINE Scalar& operator()(Index i, Index j)</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  { <span class="keywordflow">return</span> m_data[StorageOrder==<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> ? j + i*m_stride : i + j*m_stride]; }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  Scalar* EIGEN_RESTRICT m_data;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  Index m_stride;</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="comment">// lightweight helper class to access matrix coefficients (const version)</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> StorageOrder></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">class </span>const_blas_data_mapper</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>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  const_blas_data_mapper(<span class="keyword">const</span> Scalar* data, Index stride) : m_data(data), m_stride(stride) {}</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar& operator()(Index i, Index j)<span class="keyword"> const</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> m_data[StorageOrder==<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> ? j + i*m_stride : i + j*m_stride]; }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">const</span> Scalar* EIGEN_RESTRICT m_data;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  Index m_stride;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> };</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="comment">/* Helper class to analyze the factors of a Product expression.</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="comment"> * In particular it allows to pop out operator-, scalar multiples,</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="comment"> * and conjugate */</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="keyword">template</span><<span class="keyword">typename</span> XprType> <span class="keyword">struct </span>blas_traits</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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> traits<XprType>::Scalar Scalar;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">typedef</span> <span class="keyword">const</span> XprType& ExtractType;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keyword">typedef</span> XprType _ExtractType;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  IsComplex = NumTraits<Scalar>::IsComplex,</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  IsTransposed = <span class="keyword">false</span>,</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  NeedToConjugate = <span class="keyword">false</span>,</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  HasUsableDirectAccess = ( (int(XprType::Flags)&<a class="code" href="group__flags.html#ga54c3b872f5a14e7e0d3d6539b704ea67">DirectAccessBit</a>)</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  && ( <span class="keywordtype">bool</span>(XprType::IsVectorAtCompileTime)</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  || int(inner_stride_at_compile_time<XprType>::ret) == 1)</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  ) ? 1 : 0</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  };</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<bool(HasUsableDirectAccess),</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  ExtractType,</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">typename</span> _ExtractType::PlainObject</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  >::type DirectLinearAccessType;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keyword">static</span> <span class="keyword">inline</span> ExtractType extract(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keyword">const</span> Scalar extractScalarFactor(<span class="keyword">const</span> XprType&) { <span class="keywordflow">return</span> Scalar(1); }</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> <span class="comment">// pop conjugate</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NestedXpr></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">struct </span>blas_traits<CwiseUnaryOp<scalar_conjugate_op<Scalar>, NestedXpr> ></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  : blas_traits<NestedXpr></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keyword">typedef</span> blas_traits<NestedXpr> Base;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keyword">typedef</span> CwiseUnaryOp<scalar_conjugate_op<Scalar>, NestedXpr> XprType;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::ExtractType ExtractType;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  IsComplex = NumTraits<Scalar>::IsComplex,</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  NeedToConjugate = Base::NeedToConjugate ? 0 : IsComplex</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  };</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keyword">static</span> <span class="keyword">inline</span> ExtractType extract(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> Base::extract(x.nestedExpression()); }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keyword">static</span> <span class="keyword">inline</span> Scalar extractScalarFactor(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> conj(Base::extractScalarFactor(x.nestedExpression())); }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> };</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// pop scalar multiple</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NestedXpr></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="keyword">struct </span>blas_traits<CwiseUnaryOp<scalar_multiple_op<Scalar>, NestedXpr> ></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  : blas_traits<NestedXpr></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> blas_traits<NestedXpr> Base;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keyword">typedef</span> CwiseUnaryOp<scalar_multiple_op<Scalar>, NestedXpr> XprType;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::ExtractType ExtractType;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">static</span> <span class="keyword">inline</span> ExtractType extract(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> Base::extract(x.nestedExpression()); }</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">static</span> <span class="keyword">inline</span> Scalar extractScalarFactor(<span class="keyword">const</span> XprType& x)</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  { <span class="keywordflow">return</span> x.functor().m_other * Base::extractScalarFactor(x.nestedExpression()); }</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> </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// pop opposite</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NestedXpr></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">struct </span>blas_traits<CwiseUnaryOp<scalar_opposite_op<Scalar>, NestedXpr> ></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  : blas_traits<NestedXpr></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>  <span class="keyword">typedef</span> blas_traits<NestedXpr> Base;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">typedef</span> CwiseUnaryOp<scalar_opposite_op<Scalar>, NestedXpr> XprType;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::ExtractType ExtractType;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">static</span> <span class="keyword">inline</span> ExtractType extract(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> Base::extract(x.nestedExpression()); }</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">static</span> <span class="keyword">inline</span> Scalar extractScalarFactor(<span class="keyword">const</span> XprType& x)</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  { <span class="keywordflow">return</span> - Base::extractScalarFactor(x.nestedExpression()); }</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> };</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// pop/push transpose</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="keyword">template</span><<span class="keyword">typename</span> NestedXpr></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">struct </span>blas_traits<Transpose<NestedXpr> ></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  : blas_traits<NestedXpr></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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> NestedXpr::Scalar Scalar;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">typedef</span> blas_traits<NestedXpr> Base;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">typedef</span> Transpose<NestedXpr> XprType;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">typedef</span> Transpose<const typename Base::_ExtractType> ExtractType; <span class="comment">// const to get rid of a compile error; anyway blas traits are only used on the RHS</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">typedef</span> Transpose<const typename Base::_ExtractType> _ExtractType;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<bool(Base::HasUsableDirectAccess),</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  ExtractType,</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">typename</span> ExtractType::PlainObject</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  >::type DirectLinearAccessType;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  IsTransposed = Base::IsTransposed ? 0 : 1</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  };</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">static</span> <span class="keyword">inline</span> ExtractType extract(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> Base::extract(x.nestedExpression()); }</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">static</span> <span class="keyword">inline</span> Scalar extractScalarFactor(<span class="keyword">const</span> XprType& x) { <span class="keywordflow">return</span> Base::extractScalarFactor(x.nestedExpression()); }</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> <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="keyword">struct </span>blas_traits<const T></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  : blas_traits<T></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> {};</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> template<typename T, bool HasUsableDirectAccess=blas_traits<T>::HasUsableDirectAccess></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="keyword">struct </span>extract_data_selector {</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">typename</span> T::Scalar* run(<span class="keyword">const</span> T& m)</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  {</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">return</span> blas_traits<T>::extract(m).data();</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  }</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> };</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">struct </span>extract_data_selector<T,false> {</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">static</span> <span class="keyword">typename</span> T::Scalar* run(<span class="keyword">const</span> T&) { <span class="keywordflow">return</span> 0; }</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> };</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">const</span> <span class="keyword">typename</span> T::Scalar* extract_data(<span class="keyword">const</span> T& m)</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="keywordflow">return</span> extract_data_selector<T>::run(m);</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="comment">// end namespace internal</span></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> } <span class="comment">// end namespace Eigen</span></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> <span class="preprocessor">#endif // EIGEN_BLASUTIL_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="group__flags_html_ga54c3b872f5a14e7e0d3d6539b704ea67"><div class="ttname"><a href="group__flags.html#ga54c3b872f5a14e7e0d3d6539b704ea67">Eigen::DirectAccessBit</a></div><div class="ttdeci">const unsigned int DirectAccessBit</div><div class="ttdef"><b>Definition:</b> Constants.h:142</div></div>
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