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<div class="title">qr-method-common.hpp</div> </div>
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<a href="qr-method-common_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef VIENNACL_LINALG_QR_METHOD_COMMON_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_QR_METHOD_COMMON_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENCL</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="device_8hpp.html">viennacl/ocl/device.hpp</a>"</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="ocl_2handle_8hpp.html">viennacl/ocl/handle.hpp</a>"</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="kernel_8hpp.html">viennacl/ocl/kernel.hpp</a>"</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="opencl_2kernels_2svd_8hpp.html">viennacl/linalg/opencl/kernels/svd.hpp</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifdef VIENNACL_WITH_CUDA</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="cuda_2matrix__operations_8hpp.html">viennacl/linalg/cuda/matrix_operations.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="result__of_8hpp.html">viennacl/meta/result_of.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></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="comment">//#include <boost/numeric/ublas/vector.hpp></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">//#include <boost/numeric/ublas/io.hpp></span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">namespace </span>viennacl</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> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a5b5cb81b46208cae772a5e0813f02517"> 49</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a5b5cb81b46208cae772a5e0813f02517">SVD_HOUSEHOLDER_UPDATE_QR_KERNEL</a> = <span class="stringliteral">"house_update_QR"</span>;</div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a349e6e78f95ef631a5f2736158766739"> 50</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a349e6e78f95ef631a5f2736158766739">SVD_MATRIX_TRANSPOSE_KERNEL</a> = <span class="stringliteral">"transpose_inplace"</span>;</div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a05717ddd22894376e780b075d59616ed"> 51</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a05717ddd22894376e780b075d59616ed">SVD_INVERSE_SIGNS_KERNEL</a> = <span class="stringliteral">"inverse_signs"</span>;</div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a15bedacb51ec9b425baf52ee7f68bdba"> 52</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a15bedacb51ec9b425baf52ee7f68bdba">SVD_GIVENS_PREV_KERNEL</a> = <span class="stringliteral">"givens_prev"</span>;</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a8477d884683dafc7e6ca04f2e02a1d1f"> 53</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a8477d884683dafc7e6ca04f2e02a1d1f">SVD_FINAL_ITER_UPDATE_KERNEL</a> = <span class="stringliteral">"final_iter_update"</span>;</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a3a439370108ddfa59c2fcb4136b13c8d"> 54</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a3a439370108ddfa59c2fcb4136b13c8d">SVD_UPDATE_QR_COLUMN_KERNEL</a> = <span class="stringliteral">"update_qr_column"</span>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a8e62fa452895c889f7bad9700300994d"> 55</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a8e62fa452895c889f7bad9700300994d">SVD_HOUSEHOLDER_UPDATE_A_LEFT_KERNEL</a> = <span class="stringliteral">"house_update_A_left"</span>;</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ace85ea4095e9e7404b6f77b767ac000f"> 56</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#ace85ea4095e9e7404b6f77b767ac000f">SVD_HOUSEHOLDER_UPDATE_A_RIGHT_KERNEL</a> = <span class="stringliteral">"house_update_A_right"</span>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a04a5ce1f7230502c9d1ee87dcc24c8b4"> 57</a></span> <span class="keyword">const</span> std::string <a class="code" href="namespaceviennacl_1_1linalg.html#a04a5ce1f7230502c9d1ee87dcc24c8b4">SVD_HOUSEHOLDER_UPDATE_QL_KERNEL</a> = <span class="stringliteral">"house_update_QL"</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a> = 1e-10;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> ITER_MAX = 50;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="keyword">template</span> <<span class="keyword">typename</span> SCALARTYPE></div>
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a0737c94fac817b0d0c8444463be7ceb7"> 65</a></span> SCALARTYPE <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a0737c94fac817b0d0c8444463be7ceb7">pythag</a>(SCALARTYPE a, SCALARTYPE b)</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">return</span> std::sqrt(a*a + b*b);</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> </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">template</span> <<span class="keyword">typename</span> SCALARTYPE></div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07"> 71</a></span> SCALARTYPE <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>(SCALARTYPE val)</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="keywordflow">return</span> (val >= 0) ? SCALARTYPE(1) : SCALARTYPE(-1);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// DEPRECATED: Replace with viennacl::linalg::norm_2</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="keyword">template</span> <<span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#ae059c4a3216ff6bdc44110377ce34e88"> 78</a></span> <span class="keyword">typename</span> VectorType::value_type <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae059c4a3216ff6bdc44110377ce34e88">norm_lcl</a>(VectorType <span class="keyword">const</span> & x, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>)</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> {</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keyword">typename</span> VectorType::value_type x_norm = 0.0;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">for</span>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  x_norm += std::pow(x[i], 2);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> std::sqrt(x_norm);</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> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">template</span> <<span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#ae152dd8fd5f272525bac1b843375d329"> 87</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae152dd8fd5f272525bac1b843375d329">normalize</a>(VectorType & x, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>)</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>  <span class="keyword">typename</span> VectorType::value_type x_norm = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae059c4a3216ff6bdc44110377ce34e88">norm_lcl</a>(x, size);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">for</span>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  x[i] /= x_norm;</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> </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> </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">template</span> <<span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a366df7768bf52e820fee364334133db1"> 97</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a366df7768bf52e820fee364334133db1">householder_vector</a>(VectorType & v, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">start</a>)</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorType::value_type <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  ScalarType x_norm = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae059c4a3216ff6bdc44110377ce34e88">norm_lcl</a>(v, v.size());</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  ScalarType alpha = -<a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>(v[start]) * x_norm;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  v[<a class="code" href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">start</a>] += alpha;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae152dd8fd5f272525bac1b843375d329">normalize</a>(v, v.size());</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">template</span> <<span class="keyword">typename</span> SCALARTYPE></div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#aad4cd2951549618c93f74ff26444675f"> 107</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#aad4cd2951549618c93f74ff26444675f">transpose</a>(<a class="code" href="classviennacl_1_1matrix__base.html">matrix_base<SCALARTYPE></a> & A)</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> {</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  (void)A;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENCL</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> & ctx = <span class="keyword">const_cast<</span><a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &<span class="keyword">></span>(viennacl::traits::opencl_handle(A).context());</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>())</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>  <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ab9e831dbb989de8ddc771c949658b514">viennacl::linalg::opencl::kernels::svd<SCALARTYPE, row_major>::init</a>(ctx);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> & kernel = <a class="code" href="namespaceviennacl_1_1ocl.html#a61a73653d92f1eb2ef9c649ec253e29f">viennacl::ocl::get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html">viennacl::linalg::opencl::kernels::svd<SCALARTYPE, row_major>::program_name</a>(), <a class="code" href="namespaceviennacl_1_1linalg.html#a349e6e78f95ef631a5f2736158766739">SVD_MATRIX_TRANSPOSE_KERNEL</a>);</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>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(kernel(A,</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  static_cast<cl_uint>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()),</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  static_cast<cl_uint>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>())</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  )</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  );</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">else</span></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>  <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ab9e831dbb989de8ddc771c949658b514">viennacl::linalg::opencl::kernels::svd<SCALARTYPE, row_major>::init</a>(ctx);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> & kernel = <a class="code" href="namespaceviennacl_1_1ocl.html#a61a73653d92f1eb2ef9c649ec253e29f">viennacl::ocl::get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html">viennacl::linalg::opencl::kernels::svd<SCALARTYPE, column_major>::program_name</a>(), <a class="code" href="namespaceviennacl_1_1linalg.html#a349e6e78f95ef631a5f2736158766739">SVD_MATRIX_TRANSPOSE_KERNEL</a>);</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(kernel(A,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  static_cast<cl_uint>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()),</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  static_cast<cl_uint>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>())</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  )</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  );</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  }</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> }</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a807e733d7bf94d491377fff3905e25d2"> 142</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a807e733d7bf94d491377fff3905e25d2">cdiv</a>(T xr, T xi, T yr, T yi, T& cdivr, T& cdivi)</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>  <span class="comment">// Complex scalar division.</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  T r;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  T d;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">if</span> (std::fabs(yr) > std::fabs(yi))</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  {</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  r = yi / yr;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  d = yr + r * yi;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  cdivr = (xr + r * xi) / d;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  cdivi = (xi - r * xr) / d;</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="keywordflow">else</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  r = yr / yi;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  d = yi + r * yr;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  cdivr = (r * xr + xi) / d;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  cdivi = (r * xi - xr) / d;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">template</span><<span class="keyword">typename</span> SCALARTYPE></div>
<div class="line"><a name="l00165"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a5852aa7527c0599681f1b0fbc753d357"> 165</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5852aa7527c0599681f1b0fbc753d357">prepare_householder_vector</a>(</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="classviennacl_1_1matrix__base.html">matrix_base<SCALARTYPE></a>& A,</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="classviennacl_1_1vector__base.html">vector_base<SCALARTYPE></a>& D,</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>,</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_start,</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> col_start,</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">start</a>,</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordtype">bool</span> is_column</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  )</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">//boost::numeric::ublas::vector<SCALARTYPE> tmp = boost::numeric::ublas::scalar_vector<SCALARTYPE>(size, 0);</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  std::vector<SCALARTYPE> tmp(size);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a0aec751d37dbd7b6d45ea9340fa8a317">copy_vec</a>(A, D, row_start, col_start, is_column);</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">fast_copy</a>(D.<a class="code" href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">begin</a>(), D.<a class="code" href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">begin</a>() + <a class="code" href="namespaceviennacl.html#afad612e26a65487b7e747c18c678ffd9">vcl_ptrdiff_t</a>(size - start), tmp.begin() + <a class="code" href="namespaceviennacl.html#afad612e26a65487b7e747c18c678ffd9">vcl_ptrdiff_t</a>(start));</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>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a366df7768bf52e820fee364334133db1">detail::householder_vector</a>(tmp, start);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">fast_copy</a>(tmp, D);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> }</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> } <span class="comment">//detail</span></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> }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a6ebf6899d6c1c8b7b9d09be872c05aae"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a></div><div class="ttdeci">#define EPS</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00038">bisect.cpp:38</a></div></div>
<div class="ttc" id="device_8hpp_html"><div class="ttname"><a href="device_8hpp.html">device.hpp</a></div><div class="ttdoc">Represents an OpenCL device within ViennaCL. </div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_a61a73653d92f1eb2ef9c649ec253e29f"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#a61a73653d92f1eb2ef9c649ec253e29f">viennacl::ocl::get_kernel</a></div><div class="ttdeci">viennacl::ocl::kernel & get_kernel(std::string const &prog_name, std::string const &kernel_name)</div><div class="ttdoc">Convenience function for getting the kernel for a particular program from the current active context...</div><div class="ttdef"><b>Definition:</b> <a href="backend_8hpp_source.html#l00339">backend.hpp:339</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a05717ddd22894376e780b075d59616ed"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a05717ddd22894376e780b075d59616ed">viennacl::linalg::SVD_INVERSE_SIGNS_KERNEL</a></div><div class="ttdeci">const std::string SVD_INVERSE_SIGNS_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00051">qr-method-common.hpp:51</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a0aec751d37dbd7b6d45ea9340fa8a317"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a0aec751d37dbd7b6d45ea9340fa8a317">viennacl::linalg::copy_vec</a></div><div class="ttdeci">void copy_vec(matrix_base< SCALARTYPE > &A, vector_base< SCALARTYPE > &V, vcl_size_t row_start, vcl_size_t col_start, bool copy_col)</div><div class="ttdoc">This function copies a row or a column from a matrix to a vector. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l00942">matrix_operations.hpp:942</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1kernel_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a></div><div class="ttdoc">Represents an OpenCL kernel within ViennaCL. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00058">kernel.hpp:58</a></div></div>
<div class="ttc" id="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a></div><div class="ttdoc">Manages an OpenCL context and provides the respective convenience functions for creating buffers...</div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00055">context.hpp:55</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a3a439370108ddfa59c2fcb4136b13c8d"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a3a439370108ddfa59c2fcb4136b13c8d">viennacl::linalg::SVD_UPDATE_QR_COLUMN_KERNEL</a></div><div class="ttdeci">const std::string SVD_UPDATE_QR_COLUMN_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00054">qr-method-common.hpp:54</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html"><div class="ttname"><a href="classviennacl_1_1matrix__base.html">viennacl::matrix_base</a></div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00103">matrix_def.hpp:103</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ace85ea4095e9e7404b6f77b767ac000f"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ace85ea4095e9e7404b6f77b767ac000f">viennacl::linalg::SVD_HOUSEHOLDER_UPDATE_A_RIGHT_KERNEL</a></div><div class="ttdeci">const std::string SVD_HOUSEHOLDER_UPDATE_A_RIGHT_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00056">qr-method-common.hpp:56</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a807e733d7bf94d491377fff3905e25d2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a807e733d7bf94d491377fff3905e25d2">viennacl::linalg::detail::cdiv</a></div><div class="ttdeci">void cdiv(T xr, T xi, T yr, T yi, T &cdivr, T &cdivi)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00142">qr-method-common.hpp:142</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a5b5cb81b46208cae772a5e0813f02517"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a5b5cb81b46208cae772a5e0813f02517">viennacl::linalg::SVD_HOUSEHOLDER_UPDATE_QR_KERNEL</a></div><div class="ttdeci">const std::string SVD_HOUSEHOLDER_UPDATE_QR_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00049">qr-method-common.hpp:49</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_aad4cd2951549618c93f74ff26444675f"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#aad4cd2951549618c93f74ff26444675f">viennacl::linalg::detail::transpose</a></div><div class="ttdeci">void transpose(matrix_base< SCALARTYPE > &A)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00107">qr-method-common.hpp:107</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd_html_ab9e831dbb989de8ddc771c949658b514"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ab9e831dbb989de8ddc771c949658b514">viennacl::linalg::opencl::kernels::svd::init</a></div><div class="ttdeci">static void init(viennacl::ocl::context &ctx)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00652">svd.hpp:652</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a5852aa7527c0599681f1b0fbc753d357"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a5852aa7527c0599681f1b0fbc753d357">viennacl::linalg::detail::prepare_householder_vector</a></div><div class="ttdeci">void prepare_householder_vector(matrix_base< SCALARTYPE > &A, vector_base< SCALARTYPE > &D, vcl_size_t size, vcl_size_t row_start, vcl_size_t col_start, vcl_size_t start, bool is_column)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00165">qr-method-common.hpp:165</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_ae152dd8fd5f272525bac1b843375d329"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#ae152dd8fd5f272525bac1b843375d329">viennacl::linalg::detail::normalize</a></div><div class="ttdeci">void normalize(VectorType &x, vcl_size_t size)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00087">qr-method-common.hpp:87</a></div></div>
<div class="ttc" id="opencl_2kernels_2svd_8hpp_html"><div class="ttname"><a href="opencl_2kernels_2svd_8hpp.html">svd.hpp</a></div><div class="ttdoc">OpenCL kernel file for singular value decomposition. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html">viennacl::linalg::opencl::kernels::svd</a></div><div class="ttdoc">Main kernel class for generating OpenCL kernels for singular value decomposition of dense matrices...</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00644">svd.hpp:644</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a762d98e2f912fc534951f25555b6077f"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">viennacl::vector_base::begin</a></div><div class="ttdeci">iterator begin()</div><div class="ttdoc">Returns an iterator pointing to the beginning of the vector (STL like) </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00841">vector.hpp:841</a></div></div>
<div class="ttc" id="ocl_2handle_8hpp_html"><div class="ttname"><a href="ocl_2handle_8hpp.html">handle.hpp</a></div><div class="ttdoc">Implementation of a smart-pointer-like class for handling OpenCL handles. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a68603a1e1ca1bfb6d107831ba5096786"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">viennacl::traits::start</a></div><div class="ttdeci">result_of::size_type< T >::type start(T const &obj)</div><div class="ttdef"><b>Definition:</b> <a href="start_8hpp_source.html#l00044">start.hpp:44</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base</a></div><div class="ttdoc">Common base class for dense vectors, vector ranges, and vector slices. </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00104">vector_def.hpp:104</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a366df7768bf52e820fee364334133db1"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a366df7768bf52e820fee364334133db1">viennacl::linalg::detail::householder_vector</a></div><div class="ttdeci">void householder_vector(VectorType &v, vcl_size_t start)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00097">qr-method-common.hpp:97</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a8e62fa452895c889f7bad9700300994d"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a8e62fa452895c889f7bad9700300994d">viennacl::linalg::SVD_HOUSEHOLDER_UPDATE_A_LEFT_KERNEL</a></div><div class="ttdeci">const std::string SVD_HOUSEHOLDER_UPDATE_A_LEFT_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00055">qr-method-common.hpp:55</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a0737c94fac817b0d0c8444463be7ceb7"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a0737c94fac817b0d0c8444463be7ceb7">viennacl::linalg::detail::pythag</a></div><div class="ttdeci">SCALARTYPE pythag(SCALARTYPE a, SCALARTYPE b)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00065">qr-method-common.hpp:65</a></div></div>
<div class="ttc" id="cuda_2matrix__operations_8hpp_html"><div class="ttname"><a href="cuda_2matrix__operations_8hpp.html">matrix_operations.hpp</a></div><div class="ttdoc">Implementations of dense matrix related operations, including matrix-vector products, using CUDA. </div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_a5f2022f653ea1cf364d20e3ff84dcada"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a></div><div class="ttdeci">void enqueue(KernelType &k, viennacl::ocl::command_queue const &queue)</div><div class="ttdoc">Enqueues a kernel in the provided queue. </div><div class="ttdef"><b>Definition:</b> <a href="enqueue_8hpp_source.html#l00050">enqueue.hpp:50</a></div></div>
<div class="ttc" id="kernel_8hpp_html"><div class="ttname"><a href="kernel_8hpp.html">kernel.hpp</a></div><div class="ttdoc">Representation of an OpenCL kernel in ViennaCL. </div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a15ec879f9e85a6fc209454b0bf137084"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">viennacl::matrix_base::row_major</a></div><div class="ttdeci">bool row_major() const </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00248">matrix_def.hpp:248</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a04a5ce1f7230502c9d1ee87dcc24c8b4"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a04a5ce1f7230502c9d1ee87dcc24c8b4">viennacl::linalg::SVD_HOUSEHOLDER_UPDATE_QL_KERNEL</a></div><div class="ttdeci">const std::string SVD_HOUSEHOLDER_UPDATE_QL_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00057">qr-method-common.hpp:57</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a8477d884683dafc7e6ca04f2e02a1d1f"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a8477d884683dafc7e6ca04f2e02a1d1f">viennacl::linalg::SVD_FINAL_ITER_UPDATE_KERNEL</a></div><div class="ttdeci">const std::string SVD_FINAL_ITER_UPDATE_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00053">qr-method-common.hpp:53</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a349e6e78f95ef631a5f2736158766739"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a349e6e78f95ef631a5f2736158766739">viennacl::linalg::SVD_MATRIX_TRANSPOSE_KERNEL</a></div><div class="ttdeci">const std::string SVD_MATRIX_TRANSPOSE_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00050">qr-method-common.hpp:50</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a00e30fdc61081a73995b54175a91d220"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">viennacl::matrix_base::internal_size2</a></div><div class="ttdeci">size_type internal_size2() const </div><div class="ttdoc">Returns the internal number of columns. Usually required for launching OpenCL kernels only...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00240">matrix_def.hpp:240</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a82018b4e169973bdfb9d3be68ceb5be0"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">viennacl::matrix_base::internal_size1</a></div><div class="ttdeci">size_type internal_size1() const </div><div class="ttdoc">Returns the internal number of rows. Usually required for launching OpenCL kernels only...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00238">matrix_def.hpp:238</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_ae059c4a3216ff6bdc44110377ce34e88"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#ae059c4a3216ff6bdc44110377ce34e88">viennacl::linalg::detail::norm_lcl</a></div><div class="ttdeci">VectorType::value_type norm_lcl(VectorType const &x, vcl_size_t size)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00078">qr-method-common.hpp:78</a></div></div>
<div class="ttc" id="result__of_8hpp_html"><div class="ttname"><a href="result__of_8hpp.html">result_of.hpp</a></div><div class="ttdoc">A collection of compile time type deductions. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a15bedacb51ec9b425baf52ee7f68bdba"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a15bedacb51ec9b425baf52ee7f68bdba">viennacl::linalg::SVD_GIVENS_PREV_KERNEL</a></div><div class="ttdeci">const std::string SVD_GIVENS_PREV_KERNEL</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00052">qr-method-common.hpp:52</a></div></div>
<div class="ttc" id="namespaceviennacl_html_afad612e26a65487b7e747c18c678ffd9"><div class="ttname"><a href="namespaceviennacl.html#afad612e26a65487b7e747c18c678ffd9">viennacl::vcl_ptrdiff_t</a></div><div class="ttdeci">std::ptrdiff_t vcl_ptrdiff_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00076">forwards.h:76</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a7bfa1c9cb0afb4ca0f975e690f4a8f07"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">viennacl::linalg::detail::sign</a></div><div class="ttdeci">SCALARTYPE sign(SCALARTYPE val)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00071">qr-method-common.hpp:71</a></div></div>
<div class="ttc" id="namespaceviennacl_html_aaa5c8726b45bc89a523ca2fa8c42107a"><div class="ttname"><a href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a></div><div class="ttdeci">void fast_copy(const const_vector_iterator< SCALARTYPE, ALIGNMENT > &gpu_begin, const const_vector_iterator< SCALARTYPE, ALIGNMENT > &gpu_end, CPU_ITERATOR cpu_begin)</div></div>
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