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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<div class="header">
  <div class="headertitle">
<div class="title">svd.hpp</div>  </div>
</div><!--header-->
<div class="contents">
<a href="opencl_2kernels_2svd_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>&#160;<span class="preprocessor">#ifndef VIENNACL_LINALG_OPENCL_KERNELS_SVD_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define VIENNACL_LINALG_OPENCL_KERNELS_SVD_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">   Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">                            Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">                            TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<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>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">                            -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">                  ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">                            -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<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>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<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>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<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>&#160;<span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="kernel_8hpp.html">viennacl/ocl/kernel.hpp</a>&quot;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="platform_8hpp.html">viennacl/ocl/platform.hpp</a>&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="ocl_2utils_8hpp.html">viennacl/ocl/utils.hpp</a>&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;{</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="keyword">namespace </span>opencl</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;{</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">namespace </span>kernels</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;{</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2b6175d3f83cd821e06daab3ac1ad466">   38</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2b6175d3f83cd821e06daab3ac1ad466">generate_svd_bidiag_pack</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;{</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void bidiag_pack(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  source.append(<span class="stringliteral">&quot;  __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* D, \n&quot;</span>);</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  source.append(<span class="stringliteral">&quot;  __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* S, \n&quot;</span>);</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  source.append(<span class="stringliteral">&quot;  uint size1, \n&quot;</span>);</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  source.append(<span class="stringliteral">&quot;  uint size2, \n&quot;</span>);</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  source.append(<span class="stringliteral">&quot;  uint stride \n&quot;</span>);</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  source.append(<span class="stringliteral">&quot;) { \n&quot;</span>);</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  source.append(<span class="stringliteral">&quot;  uint size = min(size1, size2); \n&quot;</span>);</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  source.append(<span class="stringliteral">&quot;  if(get_global_id(0) == 0) \n&quot;</span>);</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  source.append(<span class="stringliteral">&quot;    S[0] = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      source.append(<span class="stringliteral">&quot;  for(uint i = get_global_id(0); i &lt; size ; i += get_global_size(0)) { \n&quot;</span>);</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      source.append(<span class="stringliteral">&quot;    D[i] = A[i*stride + i]; \n&quot;</span>);</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      source.append(<span class="stringliteral">&quot;    S[i + 1] = (i + 1 &lt; size2) ? A[i*stride + (i + 1)] : 0; \n&quot;</span>);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    {</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      source.append(<span class="stringliteral">&quot;  for(uint i = get_global_id(0); i &lt; size ; i += get_global_size(0)) { \n&quot;</span>);</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      source.append(<span class="stringliteral">&quot;    D[i] = A[i*stride + i]; \n&quot;</span>);</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      source.append(<span class="stringliteral">&quot;    S[i + 1] = (i + 1 &lt; size2) ? A[i + (i + 1) * stride] : 0; \n&quot;</span>);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  source.append(<span class="stringliteral">&quot;  } \n&quot;</span>);</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;}</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a198d151faa9ed845841dd6e54c4d1720">   68</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a198d151faa9ed845841dd6e54c4d1720">generate_svd_col_reduce_lcl_array</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</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="comment">// calculates a sum of local array elements</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  source.append(<span class="stringliteral">&quot;void col_reduce_lcl_array(__local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* sums, uint lcl_id, uint lcl_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  source.append(<span class="stringliteral">&quot;    uint step = lcl_sz &gt;&gt; 1; \n&quot;</span>);</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  source.append(<span class="stringliteral">&quot;    while (step &gt; 0) { \n&quot;</span>);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  source.append(<span class="stringliteral">&quot;        if (lcl_id &lt; step) { \n&quot;</span>);</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  source.append(<span class="stringliteral">&quot;            sums[lcl_id] += sums[lcl_id + step]; \n&quot;</span>);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  source.append(<span class="stringliteral">&quot;        step &gt;&gt;= 1; \n&quot;</span>);</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;}</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</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> StringType&gt;</div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71cf92278b63ea07b23d70621e64221e">   85</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71cf92278b63ea07b23d70621e64221e">generate_svd_copy_col</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;{</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  <span class="comment">// probably, this is a ugly way</span></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void copy_col(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* V, \n&quot;</span>);</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint row_start, \n&quot;</span>);</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint col_start, \n&quot;</span>);</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint size, \n&quot;</span>);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint stride \n&quot;</span>);</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  source.append(<span class="stringliteral">&quot;                       ) { \n&quot;</span>);</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</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;      source.append(<span class="stringliteral">&quot;    for(uint i = row_start + glb_id; i &lt; size; i += glb_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      source.append(<span class="stringliteral">&quot;        V[i - row_start] = A[i * stride + col_start]; \n&quot;</span>);</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    }</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <span class="keywordflow">else</span></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;      source.append(<span class="stringliteral">&quot;    for(uint i = row_start + glb_id; i &lt; size; i += glb_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      source.append(<span class="stringliteral">&quot;        V[i - row_start] = A[i + col_start * stride]; \n&quot;</span>);</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</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> StringType&gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ac6a619337d349abc2e69236f4bba7416">  114</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ac6a619337d349abc2e69236f4bba7416">generate_svd_copy_row</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;{</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <span class="comment">// probably, this is too</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void copy_row(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* V, \n&quot;</span>);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint row_start, \n&quot;</span>);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint col_start, \n&quot;</span>);</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint size, \n&quot;</span>);</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  source.append(<span class="stringliteral">&quot;                       uint stride \n&quot;</span>);</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  source.append(<span class="stringliteral">&quot;                       ) { \n&quot;</span>);</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = col_start + glb_id; i &lt; size; i += glb_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      source.append(<span class="stringliteral">&quot;        V[i - col_start] = A[row_start * stride + i]; \n&quot;</span>);</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    }</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    {</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = col_start + glb_id; i &lt; size; i += glb_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      source.append(<span class="stringliteral">&quot;        V[i - col_start] = A[row_start + i * stride]; \n&quot;</span>);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    }</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;}</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa02c92f95d3fa5183013ce74756249cd">  143</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa02c92f95d3fa5183013ce74756249cd">generate_svd_final_iter_update</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;{</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void final_iter_update(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  source.append(<span class="stringliteral">&quot;                                uint stride, \n&quot;</span>);</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  source.append(<span class="stringliteral">&quot;                                uint n, \n&quot;</span>);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  source.append(<span class="stringliteral">&quot;                                uint last_n, \n&quot;</span>);</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  source.append(<span class="stringliteral">&quot;                                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; q, \n&quot;</span>);</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  source.append(<span class="stringliteral">&quot;                                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; p \n&quot;</span>);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  source.append(<span class="stringliteral">&quot;                                ) \n&quot;</span>);</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  source.append(<span class="stringliteral">&quot;{ \n&quot;</span>);</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  source.append(<span class="stringliteral">&quot;    for (uint px = glb_id; px &lt; last_n; px += glb_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  source.append(<span class="stringliteral">&quot;    { \n&quot;</span>);</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; v_in = A[n * stride + px]; \n&quot;</span>);</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; z = A[(n - 1) * stride + px]; \n&quot;</span>);</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;  source.append(<span class="stringliteral">&quot;        A[(n - 1) * stride + px] = q * z + p * v_in; \n&quot;</span>);</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  source.append(<span class="stringliteral">&quot;        A[n * stride + px] = q * v_in - p * z; \n&quot;</span>);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;}</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3e7ada351d176c2c90a63032f3eabdcf">  167</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3e7ada351d176c2c90a63032f3eabdcf">generate_svd_givens_next</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</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;  source.append(<span class="stringliteral">&quot;__kernel void givens_next(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* matr, \n&quot;</span>);</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;  source.append(<span class="stringliteral">&quot;                            __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* cs, \n&quot;</span>);</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  source.append(<span class="stringliteral">&quot;                            __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* ss, \n&quot;</span>);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint size, \n&quot;</span>);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint stride, \n&quot;</span>);</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint start_i, \n&quot;</span>);</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint end_i \n&quot;</span>);</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  source.append(<span class="stringliteral">&quot;                            ) \n&quot;</span>);</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;  source.append(<span class="stringliteral">&quot;{ \n&quot;</span>);</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  source.append(<span class="stringliteral">&quot;    uint j = glb_id; \n&quot;</span>);</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  source.append(<span class="stringliteral">&quot;    __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; cs_lcl[256]; \n&quot;</span>);</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;  source.append(<span class="stringliteral">&quot;    __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss_lcl[256]; \n&quot;</span>);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    {</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;      source.append(<span class="stringliteral">&quot;    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; x = (j &lt; size) ? matr[(end_i + 1) + j * stride] : 0; \n&quot;</span>);</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;      source.append(<span class="stringliteral">&quot;    uint elems_num = end_i - start_i + 1; \n&quot;</span>);</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;      source.append(<span class="stringliteral">&quot;    uint block_num = (elems_num + lcl_sz - 1) / lcl_sz; \n&quot;</span>);</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint block_id = 0; block_id &lt; block_num; block_id++) \n&quot;</span>);</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      source.append(<span class="stringliteral">&quot;    { \n&quot;</span>);</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;      source.append(<span class="stringliteral">&quot;        uint to = min(elems_num - block_id * lcl_sz, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;      source.append(<span class="stringliteral">&quot;        if(lcl_id &lt; to) \n&quot;</span>);</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;      source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;      source.append(<span class="stringliteral">&quot;            cs_lcl[lcl_id] = cs[end_i - (lcl_id + block_id * lcl_sz)]; \n&quot;</span>);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;      source.append(<span class="stringliteral">&quot;            ss_lcl[lcl_id] = ss[end_i - (lcl_id + block_id * lcl_sz)]; \n&quot;</span>);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;      source.append(<span class="stringliteral">&quot;        if(j &lt; size) \n&quot;</span>);</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;      source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;      source.append(<span class="stringliteral">&quot;            for(uint ind = 0; ind &lt; to; ind++) \n&quot;</span>);</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;      source.append(<span class="stringliteral">&quot;            { \n&quot;</span>);</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;      source.append(<span class="stringliteral">&quot;                uint i = end_i - (ind + block_id * lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;      source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; z = matr[i + j * stride]; \n&quot;</span>);</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;      source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; cs_val = cs_lcl[ind]; \n&quot;</span>);</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;      source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss_val = ss_lcl[ind]; \n&quot;</span>);</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      source.append(<span class="stringliteral">&quot;                matr[(i + 1) + j * stride] = x * cs_val + z * ss_val; \n&quot;</span>);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      source.append(<span class="stringliteral">&quot;                x = -x * ss_val + z * cs_val; \n&quot;</span>);</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      source.append(<span class="stringliteral">&quot;            } \n&quot;</span>);</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;      source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      source.append(<span class="stringliteral">&quot;    if(j &lt; size) \n&quot;</span>);</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      source.append(<span class="stringliteral">&quot;        matr[(start_i) + j * stride] = x; \n&quot;</span>);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;    }</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;    {</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;      source.append(<span class="stringliteral">&quot;    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; x = (j &lt; size) ? matr[(end_i + 1) * stride + j] : 0; \n&quot;</span>);</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;      source.append(<span class="stringliteral">&quot;    uint elems_num = end_i - start_i + 1; \n&quot;</span>);</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;      source.append(<span class="stringliteral">&quot;    uint block_num = (elems_num + lcl_sz - 1) / lcl_sz; \n&quot;</span>);</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint block_id = 0; block_id &lt; block_num; block_id++) \n&quot;</span>);</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;      source.append(<span class="stringliteral">&quot;    { \n&quot;</span>);</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;      source.append(<span class="stringliteral">&quot;        uint to = min(elems_num - block_id * lcl_sz, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;      source.append(<span class="stringliteral">&quot;        if(lcl_id &lt; to) \n&quot;</span>);</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;      source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      source.append(<span class="stringliteral">&quot;            cs_lcl[lcl_id] = cs[end_i - (lcl_id + block_id * lcl_sz)]; \n&quot;</span>);</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      source.append(<span class="stringliteral">&quot;            ss_lcl[lcl_id] = ss[end_i - (lcl_id + block_id * lcl_sz)]; \n&quot;</span>);</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;      source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;      source.append(<span class="stringliteral">&quot;        if(j &lt; size) \n&quot;</span>);</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;      source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;      source.append(<span class="stringliteral">&quot;            for(uint ind = 0; ind &lt; to; ind++) \n&quot;</span>);</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;      source.append(<span class="stringliteral">&quot;            { \n&quot;</span>);</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;      source.append(<span class="stringliteral">&quot;                uint i = end_i - (ind + block_id * lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;      source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; z = matr[i * stride + j]; \n&quot;</span>);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;      source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; cs_val = cs_lcl[ind]; \n&quot;</span>);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;      source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss_val = ss_lcl[ind]; \n&quot;</span>);</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;      source.append(<span class="stringliteral">&quot;                matr[(i + 1) * stride + j] = x * cs_val + z * ss_val; \n&quot;</span>);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;      source.append(<span class="stringliteral">&quot;                x = -x * ss_val + z * cs_val; \n&quot;</span>);</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;      source.append(<span class="stringliteral">&quot;            } \n&quot;</span>);</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;      source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;      source.append(<span class="stringliteral">&quot;    if(j &lt; size) \n&quot;</span>);</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;      source.append(<span class="stringliteral">&quot;        matr[(start_i) * stride + j] = x; \n&quot;</span>);</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    }</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;}</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00272"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#afb2fe1df86a78f4f2f97742f6b463b29">  272</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#afb2fe1df86a78f4f2f97742f6b463b29">generate_svd_givens_prev</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;{</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void givens_prev(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* matr, \n&quot;</span>);</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;  source.append(<span class="stringliteral">&quot;                            __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* cs, \n&quot;</span>);</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;  source.append(<span class="stringliteral">&quot;                            __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* ss, \n&quot;</span>);</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint size, \n&quot;</span>);</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint stride, \n&quot;</span>);</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint start_i, \n&quot;</span>);</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint end_i \n&quot;</span>);</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;  source.append(<span class="stringliteral">&quot;                            ) \n&quot;</span>);</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;  source.append(<span class="stringliteral">&quot;{ \n&quot;</span>);</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  source.append(<span class="stringliteral">&quot;    uint j = glb_id; \n&quot;</span>);</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;  source.append(<span class="stringliteral">&quot;    __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; cs_lcl[256]; \n&quot;</span>);</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  source.append(<span class="stringliteral">&quot;    __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss_lcl[256]; \n&quot;</span>);</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;  source.append(<span class="stringliteral">&quot;    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; x = (j &lt; size) ? matr[(start_i - 1) * stride + j] : 0; \n&quot;</span>);</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  source.append(<span class="stringliteral">&quot;    uint elems_num = end_i - start_i; \n&quot;</span>);</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  source.append(<span class="stringliteral">&quot;    uint block_num = (elems_num + lcl_sz - 1) / lcl_sz; \n&quot;</span>);</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  source.append(<span class="stringliteral">&quot;    for (uint block_id = 0; block_id &lt; block_num; block_id++) \n&quot;</span>);</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;  source.append(<span class="stringliteral">&quot;    { \n&quot;</span>);</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;  source.append(<span class="stringliteral">&quot;        uint to = min(elems_num - block_id * lcl_sz, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;  source.append(<span class="stringliteral">&quot;        if (lcl_id &lt; to) \n&quot;</span>);</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;  source.append(<span class="stringliteral">&quot;            cs_lcl[lcl_id] = cs[lcl_id + start_i + block_id * lcl_sz]; \n&quot;</span>);</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  source.append(<span class="stringliteral">&quot;            ss_lcl[lcl_id] = ss[lcl_id + start_i + block_id * lcl_sz]; \n&quot;</span>);</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;  source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;  source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;  source.append(<span class="stringliteral">&quot;        if (j &lt; size) \n&quot;</span>);</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;  source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;  source.append(<span class="stringliteral">&quot;            for (uint ind = 0; ind &lt; to; ind++) \n&quot;</span>);</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;  source.append(<span class="stringliteral">&quot;            { \n&quot;</span>);</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;  source.append(<span class="stringliteral">&quot;                uint i = ind + start_i + block_id * lcl_sz; \n&quot;</span>);</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;  source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; z = matr[i * stride + j]; \n&quot;</span>);</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;  source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; cs_val = cs_lcl[ind];//cs[i]; \n&quot;</span>);</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;  source.append(<span class="stringliteral">&quot;                &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss_val = ss_lcl[ind];//ss[i]; \n&quot;</span>);</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;  source.append(<span class="stringliteral">&quot;                matr[(i - 1) * stride + j] = x * cs_val + z * ss_val; \n&quot;</span>);</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;  source.append(<span class="stringliteral">&quot;                x = -x * ss_val + z * cs_val; \n&quot;</span>);</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  source.append(<span class="stringliteral">&quot;            } \n&quot;</span>);</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;  source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;  source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;  source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;  source.append(<span class="stringliteral">&quot;    if (j &lt; size) \n&quot;</span>);</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  source.append(<span class="stringliteral">&quot;        matr[(end_i - 1) * stride + j] = x; \n&quot;</span>);</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;}</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00334"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2314bf6a3ca995899978c2504eacdb4b">  334</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2314bf6a3ca995899978c2504eacdb4b">generate_svd_house_update_A_left</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;{</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void house_update_A_left( \n&quot;</span>);</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;  source.append(<span class="stringliteral">&quot;                        __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  source.append(<span class="stringliteral">&quot;                        __constant &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* V, \n&quot;</span>); <span class="comment">//householder vector</span></div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint row_start, \n&quot;</span>);</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint col_start, \n&quot;</span>);</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size1, \n&quot;</span>);</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size2, \n&quot;</span>);</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint stride, \n&quot;</span>);</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;  source.append(<span class="stringliteral">&quot;                        __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* sums \n&quot;</span>);</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;  source.append(<span class="stringliteral">&quot;                        ) { \n&quot;</span>);</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;  source.append(<span class="stringliteral">&quot;    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;      <span class="comment">// doing it in slightly different way to avoid cache misses</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;    {</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = glb_id + col_start; i &lt; size2; i += glb_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;      source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = row_start; j &lt; size1; j++) ss = ss + (V[j] * A[j * stride + i]); \n&quot;</span>);</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = row_start; j &lt; size1; j++) \n&quot;</span>);</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;      source.append(<span class="stringliteral">&quot;            A[j * stride + i] = A[j * stride + i] - (2 * V[j] * ss); \n&quot;</span>);</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;    }</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;    {</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = glb_id + col_start; i &lt; size2; i += glb_sz) { \n&quot;</span>);</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;      source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = row_start; j &lt; size1; j++) ss = ss + (V[j] * A[j + i * stride]); \n&quot;</span>);</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = row_start; j &lt; size1; j++) \n&quot;</span>);</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;      source.append(<span class="stringliteral">&quot;            A[j + i * stride] = A[j + i * stride] - (2 * V[j] * ss); \n&quot;</span>);</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    }</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;}</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00382"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a986156e7f4ee31480fbe542ec4890c46">  382</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a986156e7f4ee31480fbe542ec4890c46">generate_svd_house_update_A_right</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;{</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void house_update_A_right( \n&quot;</span>);</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;  source.append(<span class="stringliteral">&quot;                        __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;  source.append(<span class="stringliteral">&quot;                        __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* V, \n&quot;</span>); <span class="comment">// householder vector</span></div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint row_start, \n&quot;</span>);</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint col_start, \n&quot;</span>);</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size1, \n&quot;</span>);</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size2, \n&quot;</span>);</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint stride, \n&quot;</span>);</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;  source.append(<span class="stringliteral">&quot;                        __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* sums \n&quot;</span>);</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  source.append(<span class="stringliteral">&quot;                        ) { \n&quot;</span>);</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;  source.append(<span class="stringliteral">&quot;    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;      <span class="comment">// update of A matrix</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;    {</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = grp_id + row_start; i &lt; size1; i += grp_nm) { \n&quot;</span>);</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;      source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size2; j += lcl_sz) ss = ss + (V[j] * A[i * stride + j]); \n&quot;</span>);</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;      source.append(<span class="stringliteral">&quot;        sums[lcl_id] = ss; \n&quot;</span>);</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;      source.append(<span class="stringliteral">&quot;        col_reduce_lcl_array(sums, lcl_id, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;      source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; sum_Av = sums[0]; \n&quot;</span>);</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size2; j += lcl_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;      source.append(<span class="stringliteral">&quot;            A[i * stride + j] = A[i * stride + j] - (2 * V[j] * sum_Av); \n&quot;</span>);</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;    }</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    {</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = grp_id + row_start; i &lt; size1; i += grp_nm) { \n&quot;</span>);</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;      source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size2; j += lcl_sz) ss = ss + (V[j] * A[i + j * stride]); \n&quot;</span>);</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;      source.append(<span class="stringliteral">&quot;        sums[lcl_id] = ss; \n&quot;</span>);</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;      source.append(<span class="stringliteral">&quot;        col_reduce_lcl_array(sums, lcl_id, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;      source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; sum_Av = sums[0]; \n&quot;</span>);</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size2; j += lcl_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;      source.append(<span class="stringliteral">&quot;            A[i + j * stride] = A[i + j * stride] - (2 * V[j] * sum_Av); \n&quot;</span>);</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    }</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;}</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00449"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a8506b81f8f6e700161e4a67d4f2c8dc2">  449</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a8506b81f8f6e700161e4a67d4f2c8dc2">generate_svd_house_update_QL</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string, <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a>)</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;{</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void house_update_QL(\n&quot;</span>);</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;  source.append(<span class="stringliteral">&quot;                        __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* QL, \n&quot;</span>);</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;  source.append(<span class="stringliteral">&quot;                        __constant &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* V, \n&quot;</span>); <span class="comment">//householder vector</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size1, \n&quot;</span>);</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint strideQ, \n&quot;</span>);</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;  source.append(<span class="stringliteral">&quot;                        __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* sums \n&quot;</span>);</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;  source.append(<span class="stringliteral">&quot;                        ) { \n&quot;</span>);</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;  source.append(<span class="stringliteral">&quot;    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;  <span class="keywordflow">if</span>(is_row_major)</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;    {</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = grp_id; i &lt; size1; i += grp_nm) { \n&quot;</span>);</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;      source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size1; j += lcl_sz) ss = ss + (V[j] * QL[i * strideQ + j]); \n&quot;</span>);</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;      source.append(<span class="stringliteral">&quot;        sums[lcl_id] = ss; \n&quot;</span>);</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;      source.append(<span class="stringliteral">&quot;        col_reduce_lcl_array(sums, lcl_id, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;      source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; sum_Qv = sums[0]; \n&quot;</span>);</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size1; j += lcl_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;      source.append(<span class="stringliteral">&quot;            QL[i * strideQ + j] = QL[i * strideQ + j] - (2 * V[j] * sum_Qv); \n&quot;</span>);</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;    }</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    {</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;      source.append(<span class="stringliteral">&quot;    for(uint i = grp_id; i &lt; size1; i += grp_nm) { \n&quot;</span>);</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;      source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size1; j += lcl_sz) ss = ss + (V[j] * QL[i + j * strideQ]); \n&quot;</span>);</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;      source.append(<span class="stringliteral">&quot;        sums[lcl_id] = ss; \n&quot;</span>);</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;      source.append(<span class="stringliteral">&quot;        col_reduce_lcl_array(sums, lcl_id, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;      source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;      source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; sum_Qv = sums[0]; \n&quot;</span>);</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;      source.append(<span class="stringliteral">&quot;        for(uint j = lcl_id; j &lt; size1; j += lcl_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;      source.append(<span class="stringliteral">&quot;            QL[i + j * strideQ] = QL[i + j * strideQ] - (2 * V[j] * sum_Qv); \n&quot;</span>);</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;    }</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;}</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00508"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa6d359797763e880a73bd22c1f87fc10">  508</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa6d359797763e880a73bd22c1f87fc10">generate_svd_house_update_QR</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;{</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void house_update_QR( \n&quot;</span>);</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;  source.append(<span class="stringliteral">&quot;                        __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* QR, \n&quot;</span>);</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  source.append(<span class="stringliteral">&quot;                        __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* V, \n&quot;</span>); <span class="comment">// householder vector</span></div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size1, \n&quot;</span>);</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint size2, \n&quot;</span>);</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;  source.append(<span class="stringliteral">&quot;                        uint strideQ, \n&quot;</span>);</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  source.append(<span class="stringliteral">&quot;                        __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* sums \n&quot;</span>);</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;  source.append(<span class="stringliteral">&quot;                        ) { \n&quot;</span>);</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  source.append(<span class="stringliteral">&quot;    uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;  source.append(<span class="stringliteral">&quot;    uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;  source.append(<span class="stringliteral">&quot;   &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;      <span class="comment">// update of QR matrix</span></div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;      <span class="comment">// Actually, we are calculating a transpose of right matrix. This allows to avoid cache</span></div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;      <span class="comment">// misses.</span></div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;  source.append(<span class="stringliteral">&quot;    for (uint i = grp_id; i &lt; size2; i += grp_nm) { \n&quot;</span>);</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;  source.append(<span class="stringliteral">&quot;        ss = 0; \n&quot;</span>);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;  source.append(<span class="stringliteral">&quot;        for (uint j = lcl_id; j &lt; size2; j += lcl_sz) ss = ss + (V[j] * QR[i * strideQ + j]); \n&quot;</span>);</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;  source.append(<span class="stringliteral">&quot;        sums[lcl_id] = ss; \n&quot;</span>);</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;  source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;  source.append(<span class="stringliteral">&quot;        col_reduce_lcl_array(sums, lcl_id, lcl_sz); \n&quot;</span>);</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;  source.append(<span class="stringliteral">&quot;        barrier(CLK_LOCAL_MEM_FENCE); \n&quot;</span>);</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;  source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; sum_Qv = sums[0]; \n&quot;</span>);</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;  source.append(<span class="stringliteral">&quot;        for (uint j = lcl_id; j &lt; size2; j += lcl_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;  source.append(<span class="stringliteral">&quot;            QR[i * strideQ + j] = QR[i * strideQ + j] - (2 * V[j] * sum_Qv); \n&quot;</span>);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;  source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;}</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00549"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd1b7bfd307875135e20920575174e4e">  549</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd1b7bfd307875135e20920575174e4e">generate_svd_inverse_signs</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;{</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void inverse_signs(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* v, \n&quot;</span>);</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;  source.append(<span class="stringliteral">&quot;                            __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* signs, \n&quot;</span>);</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint size, \n&quot;</span>);</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;  source.append(<span class="stringliteral">&quot;                            uint stride \n&quot;</span>);</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  source.append(<span class="stringliteral">&quot;                            ) \n&quot;</span>);</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  source.append(<span class="stringliteral">&quot;{ \n&quot;</span>);</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id_x = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id_y = get_global_id(1); \n&quot;</span>);</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;  source.append(<span class="stringliteral">&quot;    if ((glb_id_x &lt; size) &amp;&amp; (glb_id_y &lt; size)) \n&quot;</span>);</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;  source.append(<span class="stringliteral">&quot;        v[glb_id_x * stride + glb_id_y] *= signs[glb_id_x]; \n&quot;</span>);</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;}</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00567"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abb44553f086222188bf3d0413bcc634c">  567</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abb44553f086222188bf3d0413bcc634c">generate_svd_transpose_inplace</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;{</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void transpose_inplace(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* input, \n&quot;</span>);</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;  source.append(<span class="stringliteral">&quot;                        unsigned int row_num, \n&quot;</span>);</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;  source.append(<span class="stringliteral">&quot;                        unsigned int col_num) { \n&quot;</span>);</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;  source.append(<span class="stringliteral">&quot;    unsigned int size = row_num * col_num; \n&quot;</span>);</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;  source.append(<span class="stringliteral">&quot;    for (unsigned int i = get_global_id(0); i &lt; size; i+= get_global_size(0)) { \n&quot;</span>);</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;  source.append(<span class="stringliteral">&quot;        unsigned int row = i / col_num; \n&quot;</span>);</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;  source.append(<span class="stringliteral">&quot;        unsigned int col = i - row*col_num; \n&quot;</span>);</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;  source.append(<span class="stringliteral">&quot;        unsigned int new_pos = col * row_num + row; \n&quot;</span>);</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;          <span class="comment">//new_pos = (col &lt; row) ? 0 : 1;</span></div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;          <span class="comment">//input[i] = new_pos;</span></div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;  source.append(<span class="stringliteral">&quot;        if (i &lt; new_pos) { \n&quot;</span>);</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;  source.append(<span class="stringliteral">&quot;            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; val = input[i]; \n&quot;</span>);</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;  source.append(<span class="stringliteral">&quot;            input[i] = input[new_pos]; \n&quot;</span>);</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;  source.append(<span class="stringliteral">&quot;            input[new_pos] = val; \n&quot;</span>);</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;  source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;  source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;}</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringT&gt;</div>
<div class="line"><a name="l00594"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a94f9fe10c3a77798a44a0dcce9480e1b">  594</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a94f9fe10c3a77798a44a0dcce9480e1b">generate_svd_update_qr_column</a>(StringT &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;{</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;  source.append(<span class="stringliteral">&quot;__kernel void update_qr_column(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* A, \n&quot;</span>);</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;  source.append(<span class="stringliteral">&quot;                               uint stride, \n&quot;</span>);</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;  source.append(<span class="stringliteral">&quot;                               __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;* buf, \n&quot;</span>);</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;  source.append(<span class="stringliteral">&quot;                               int m, \n&quot;</span>);</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;  source.append(<span class="stringliteral">&quot;                               int n, \n&quot;</span>);</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;  source.append(<span class="stringliteral">&quot;                               int last_n) \n&quot;</span>);</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;  source.append(<span class="stringliteral">&quot;{ \n&quot;</span>);</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;  source.append(<span class="stringliteral">&quot;    uint glb_sz = get_global_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;  source.append(<span class="stringliteral">&quot;    for (int i = glb_id; i &lt; last_n; i += glb_sz) \n&quot;</span>);</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;  source.append(<span class="stringliteral">&quot;    { \n&quot;</span>);</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;  source.append(<span class="stringliteral">&quot;        &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; a_ik = A[m * stride + i], a_ik_1, a_ik_2; \n&quot;</span>);</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;  source.append(<span class="stringliteral">&quot;        a_ik_1 = A[(m + 1) * stride + i]; \n&quot;</span>);</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;  source.append(<span class="stringliteral">&quot;        for (int k = m; k &lt; n; k++) \n&quot;</span>);</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;  source.append(<span class="stringliteral">&quot;        { \n&quot;</span>);</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;  source.append(<span class="stringliteral">&quot;            bool notlast = (k != n - 1); \n&quot;</span>);</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;  source.append(<span class="stringliteral">&quot;            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; p = buf[5 * k] * a_ik + buf[5 * k + 1] * a_ik_1; \n&quot;</span>);</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;  source.append(<span class="stringliteral">&quot;            if (notlast) \n&quot;</span>);</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  source.append(<span class="stringliteral">&quot;            { \n&quot;</span>);</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;  source.append(<span class="stringliteral">&quot;                a_ik_2 = A[(k + 2) * stride + i]; \n&quot;</span>);</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;  source.append(<span class="stringliteral">&quot;                p = p + buf[5 * k + 2] * a_ik_2; \n&quot;</span>);</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;  source.append(<span class="stringliteral">&quot;                a_ik_2 = a_ik_2 - p * buf[5 * k + 4]; \n&quot;</span>);</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;  source.append(<span class="stringliteral">&quot;            } \n&quot;</span>);</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;  source.append(<span class="stringliteral">&quot;            A[k * stride + i] = a_ik - p; \n&quot;</span>);</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;  source.append(<span class="stringliteral">&quot;            a_ik_1 = a_ik_1 - p * buf[5 * k + 3]; \n&quot;</span>);</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;  source.append(<span class="stringliteral">&quot;            a_ik = a_ik_1; \n&quot;</span>);</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;  source.append(<span class="stringliteral">&quot;            a_ik_1 = a_ik_2; \n&quot;</span>);</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;  source.append(<span class="stringliteral">&quot;        } \n&quot;</span>);</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;  source.append(<span class="stringliteral">&quot;        A[n * stride + i] = a_ik; \n&quot;</span>);</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;  source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;  source.append(<span class="stringliteral">&quot;} \n&quot;</span>);</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;}</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;<span class="comment">// main kernel class</span></div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;<span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixLayout = row_major&gt;</div>
<div class="line"><a name="l00644"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html">  644</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html">svd</a></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;{</div>
<div class="line"><a name="l00646"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ac9fd3775814c9ae28a138391f8463de0">  646</a></span>&#160;  <span class="keyword">static</span> std::string <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ac9fd3775814c9ae28a138391f8463de0">program_name</a>()</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;  {</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;    <span class="keywordtype">bool</span> is_row = <a class="code" href="structviennacl_1_1is__row__major.html">viennacl::is_row_major&lt;MatrixLayout&gt;::value</a>;</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;    <span class="keywordflow">return</span> (<a class="code" href="structviennacl_1_1ocl_1_1type__to__string.html">viennacl::ocl::type_to_string&lt;NumericT&gt;::apply</a>() + <span class="stringliteral">&quot;_svd_&quot;</span>) + (is_row ? <span class="stringliteral">&quot;row&quot;</span> : <span class="stringliteral">&quot;col&quot;</span>);</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;  }</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;</div>
<div class="line"><a name="l00652"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ab9e831dbb989de8ddc771c949658b514">  652</a></span>&#160;  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ab9e831dbb989de8ddc771c949658b514">init</a>(<a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &amp; ctx)</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;  {</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;    <span class="keyword">static</span> std::map&lt;cl_context, bool&gt; init_done;</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;    <span class="keywordflow">if</span> (!init_done[ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#a611d95b11db04230f63e37bfeae911db">handle</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#a5074caaee700015fc2d3b03540b01673">get</a>()])</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;    {</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;      <a class="code" href="structviennacl_1_1ocl_1_1_d_o_u_b_l_e___p_r_e_c_i_s_i_o_n___c_h_e_c_k_e_r.html#ae23d18c854e1df43cd329a5c1fdd6d9f">viennacl::ocl::DOUBLE_PRECISION_CHECKER&lt;NumericT&gt;::apply</a>(ctx);</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;      std::string numeric_string = <a class="code" href="structviennacl_1_1ocl_1_1type__to__string.html">viennacl::ocl::type_to_string&lt;NumericT&gt;::apply</a>();</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;      <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1is__row__major.html">is_row_major</a> = <a class="code" href="structviennacl_1_1is__row__major.html">viennacl::is_row_major&lt;MatrixLayout&gt;::value</a>;</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;      std::string source;</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;      source.reserve(1024);</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;      viennacl::ocl::append_double_precision_pragma&lt;NumericT&gt;(ctx, source);</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;      <span class="comment">// only generate for floating points (forces error for integers)</span></div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;      <span class="keywordflow">if</span> (numeric_string == <span class="stringliteral">&quot;float&quot;</span> || numeric_string == <span class="stringliteral">&quot;double&quot;</span>)</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;      {</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;        <span class="comment">//helper function used by multiple kernels:</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a198d151faa9ed845841dd6e54c4d1720">generate_svd_col_reduce_lcl_array</a>(source, numeric_string);</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;        <span class="comment">//kernels:</span></div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2b6175d3f83cd821e06daab3ac1ad466">generate_svd_bidiag_pack</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71cf92278b63ea07b23d70621e64221e">generate_svd_copy_col</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ac6a619337d349abc2e69236f4bba7416">generate_svd_copy_row</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa02c92f95d3fa5183013ce74756249cd">generate_svd_final_iter_update</a>(source, numeric_string);</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3e7ada351d176c2c90a63032f3eabdcf">generate_svd_givens_next</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#afb2fe1df86a78f4f2f97742f6b463b29">generate_svd_givens_prev</a>(source, numeric_string);</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2314bf6a3ca995899978c2504eacdb4b">generate_svd_house_update_A_left</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a986156e7f4ee31480fbe542ec4890c46">generate_svd_house_update_A_right</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a8506b81f8f6e700161e4a67d4f2c8dc2">generate_svd_house_update_QL</a>(source, numeric_string, is_row_major);</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa6d359797763e880a73bd22c1f87fc10">generate_svd_house_update_QR</a>(source, numeric_string);</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd1b7bfd307875135e20920575174e4e">generate_svd_inverse_signs</a>(source, numeric_string);</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abb44553f086222188bf3d0413bcc634c">generate_svd_transpose_inplace</a>(source, numeric_string);</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a94f9fe10c3a77798a44a0dcce9480e1b">generate_svd_update_qr_column</a>(source, numeric_string);</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;      }</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;      std::string prog_name = <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ac9fd3775814c9ae28a138391f8463de0">program_name</a>();</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;<span class="preprocessor">      #ifdef VIENNACL_BUILD_INFO</span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;      std::cout &lt;&lt; <span class="stringliteral">&quot;Creating program &quot;</span> &lt;&lt; prog_name &lt;&lt; std::endl;</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="preprocessor">      #endif</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;      ctx.add_program(source, prog_name);</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;      init_done[ctx.handle().get()] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;    } <span class="comment">//if</span></div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;  } <span class="comment">//init</span></div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;};</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;}  <span class="comment">// namespace kernels</span></div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;}  <span class="comment">// namespace opencl</span></div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;}  <span class="comment">// namespace linalg</span></div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;}  <span class="comment">// namespace viennacl</span></div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;</div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_ac6a619337d349abc2e69236f4bba7416"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ac6a619337d349abc2e69236f4bba7416">viennacl::linalg::opencl::kernels::generate_svd_copy_row</a></div><div class="ttdeci">void generate_svd_copy_row(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00114">svd.hpp:114</a></div></div>
<div class="ttc" id="platform_8hpp_html"><div class="ttname"><a href="platform_8hpp.html">platform.hpp</a></div><div class="ttdoc">Implements a OpenCL platform within ViennaCL. </div></div>
<div class="ttc" id="structviennacl_1_1is__row__major_html"><div class="ttname"><a href="structviennacl_1_1is__row__major.html">viennacl::is_row_major</a></div><div class="ttdoc">Helper class for checking whether a matrix has a row-major layout. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00484">forwards.h:484</a></div></div>
<div class="ttc" id="tools_8hpp_html"><div class="ttname"><a href="tools_8hpp.html">tools.hpp</a></div><div class="ttdoc">Various little tools used here and there in ViennaCL. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a2b6175d3f83cd821e06daab3ac1ad466"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2b6175d3f83cd821e06daab3ac1ad466">viennacl::linalg::opencl::kernels::generate_svd_bidiag_pack</a></div><div class="ttdeci">void generate_svd_bidiag_pack(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00038">svd.hpp:38</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_aa02c92f95d3fa5183013ce74756249cd"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa02c92f95d3fa5183013ce74756249cd">viennacl::linalg::opencl::kernels::generate_svd_final_iter_update</a></div><div class="ttdeci">void generate_svd_final_iter_update(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00143">svd.hpp:143</a></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_1_1opencl_1_1kernels_html_a94f9fe10c3a77798a44a0dcce9480e1b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a94f9fe10c3a77798a44a0dcce9480e1b">viennacl::linalg::opencl::kernels::generate_svd_update_qr_column</a></div><div class="ttdeci">void generate_svd_update_qr_column(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00594">svd.hpp:594</a></div></div>
<div class="ttc" id="ocl_2utils_8hpp_html"><div class="ttname"><a href="ocl_2utils_8hpp.html">utils.hpp</a></div><div class="ttdoc">Provides OpenCL-related utilities. </div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd_html_ac9fd3775814c9ae28a138391f8463de0"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1svd.html#ac9fd3775814c9ae28a138391f8463de0">viennacl::linalg::opencl::kernels::svd::program_name</a></div><div class="ttdeci">static std::string program_name()</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00646">svd.hpp:646</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_acd1b7bfd307875135e20920575174e4e"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd1b7bfd307875135e20920575174e4e">viennacl::linalg::opencl::kernels::generate_svd_inverse_signs</a></div><div class="ttdeci">void generate_svd_inverse_signs(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00549">svd.hpp:549</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 &amp;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="classviennacl_1_1ocl_1_1context_html_a611d95b11db04230f63e37bfeae911db"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html#a611d95b11db04230f63e37bfeae911db">viennacl::ocl::context::handle</a></div><div class="ttdeci">const viennacl::ocl::handle&lt; cl_context &gt; &amp; handle() const </div><div class="ttdoc">Returns the context handle. </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00611">context.hpp:611</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_aa6d359797763e880a73bd22c1f87fc10"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aa6d359797763e880a73bd22c1f87fc10">viennacl::linalg::opencl::kernels::generate_svd_house_update_QR</a></div><div class="ttdeci">void generate_svd_house_update_QR(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00508">svd.hpp:508</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_abb44553f086222188bf3d0413bcc634c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abb44553f086222188bf3d0413bcc634c">viennacl::linalg::opencl::kernels::generate_svd_transpose_inplace</a></div><div class="ttdeci">void generate_svd_transpose_inplace(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00567">svd.hpp:567</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_afb2fe1df86a78f4f2f97742f6b463b29"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#afb2fe1df86a78f4f2f97742f6b463b29">viennacl::linalg::opencl::kernels::generate_svd_givens_prev</a></div><div class="ttdeci">void generate_svd_givens_prev(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00272">svd.hpp:272</a></div></div>
<div class="ttc" id="structviennacl_1_1ocl_1_1_d_o_u_b_l_e___p_r_e_c_i_s_i_o_n___c_h_e_c_k_e_r_html_ae23d18c854e1df43cd329a5c1fdd6d9f"><div class="ttname"><a href="structviennacl_1_1ocl_1_1_d_o_u_b_l_e___p_r_e_c_i_s_i_o_n___c_h_e_c_k_e_r.html#ae23d18c854e1df43cd329a5c1fdd6d9f">viennacl::ocl::DOUBLE_PRECISION_CHECKER::apply</a></div><div class="ttdeci">static void apply(viennacl::ocl::context const &amp;)</div><div class="ttdef"><b>Definition:</b> <a href="ocl_2utils_8hpp_source.html#l00040">utils.hpp:40</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1handle_html_a5074caaee700015fc2d3b03540b01673"><div class="ttname"><a href="classviennacl_1_1ocl_1_1handle.html#a5074caaee700015fc2d3b03540b01673">viennacl::ocl::handle::get</a></div><div class="ttdeci">const OCL_TYPE &amp; get() const </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2handle_8hpp_source.html#l00191">handle.hpp:191</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="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a986156e7f4ee31480fbe542ec4890c46"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a986156e7f4ee31480fbe542ec4890c46">viennacl::linalg::opencl::kernels::generate_svd_house_update_A_right</a></div><div class="ttdeci">void generate_svd_house_update_A_right(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00382">svd.hpp:382</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="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a198d151faa9ed845841dd6e54c4d1720"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a198d151faa9ed845841dd6e54c4d1720">viennacl::linalg::opencl::kernels::generate_svd_col_reduce_lcl_array</a></div><div class="ttdeci">void generate_svd_col_reduce_lcl_array(StringT &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00068">svd.hpp:68</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a71cf92278b63ea07b23d70621e64221e"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71cf92278b63ea07b23d70621e64221e">viennacl::linalg::opencl::kernels::generate_svd_copy_col</a></div><div class="ttdeci">void generate_svd_copy_col(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00085">svd.hpp:85</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a8506b81f8f6e700161e4a67d4f2c8dc2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a8506b81f8f6e700161e4a67d4f2c8dc2">viennacl::linalg::opencl::kernels::generate_svd_house_update_QL</a></div><div class="ttdeci">void generate_svd_house_update_QL(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00449">svd.hpp:449</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a3e7ada351d176c2c90a63032f3eabdcf"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3e7ada351d176c2c90a63032f3eabdcf">viennacl::linalg::opencl::kernels::generate_svd_givens_next</a></div><div class="ttdeci">void generate_svd_givens_next(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00167">svd.hpp:167</a></div></div>
<div class="ttc" id="structviennacl_1_1ocl_1_1type__to__string_html"><div class="ttname"><a href="structviennacl_1_1ocl_1_1type__to__string.html">viennacl::ocl::type_to_string</a></div><div class="ttdoc">Helper class for converting a type to its string representation. </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2utils_8hpp_source.html#l00057">utils.hpp:57</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a2314bf6a3ca995899978c2504eacdb4b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2314bf6a3ca995899978c2504eacdb4b">viennacl::linalg::opencl::kernels::generate_svd_house_update_A_left</a></div><div class="ttdeci">void generate_svd_house_update_A_left(StringType &amp;source, std::string const &amp;numeric_string, bool is_row_major)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2svd_8hpp_source.html#l00334">svd.hpp:334</a></div></div>
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