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<div class="header">
  <div class="headertitle">
<div class="title">bisect.hpp</div>  </div>
</div><!--header-->
<div class="contents">
<a href="opencl_2kernels_2bisect_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_BISECT_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define VIENNACL_LINALG_OPENCL_KERNELS_BISECT_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;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</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="l00033"></a><span class="lineno">   33</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="l00034"></a><span class="lineno">   34</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="l00035"></a><span class="lineno">   35</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="l00036"></a><span class="lineno">   36</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="linalg_2opencl_2common_8hpp.html">viennacl/linalg/opencl/common.hpp</a>&quot;</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">// declaration, forward</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;{</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;{</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="keyword">namespace </span>opencl</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;{</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">namespace </span>kernels</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;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a5dda99b34ad4350282b37e516ad43d90">   50</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a5dda99b34ad4350282b37e516ad43d90">generate_bisect_kernel_config</a>(StringType &amp; source)</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  {</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="comment">/* Global configuration parameter */</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    source.append(<span class="stringliteral">&quot;     #define  VIENNACL_BISECT_MAX_THREADS_BLOCK                256\n&quot;</span>);</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    source.append(<span class="stringliteral">&quot;     #define  VIENNACL_BISECT_MAX_SMALL_MATRIX                 256\n&quot;</span>);</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    source.append(<span class="stringliteral">&quot;     #define  VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX   256\n&quot;</span>);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    source.append(<span class="stringliteral">&quot;     #define  VIENNACL_BISECT_MIN_ABS_INTERVAL                 5.0e-37\n&quot;</span>);</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</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;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  <span class="comment">// Compute the next lower power of two of n</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  <span class="comment">// n    number for which next higher power of two is seeked</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a7b378daca265ef32c0cab788bc5d6fda">   66</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a7b378daca265ef32c0cab788bc5d6fda">generate_bisect_kernel_floorPow2</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  {</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  source.append(<span class="stringliteral">&quot;     inline int  \n&quot;</span>);</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  source.append(<span class="stringliteral">&quot;     floorPow2(int n)  \n&quot;</span>);</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0);  \n&quot;</span>);</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// early out if already power of two</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  source.append(<span class="stringliteral">&quot;         if (0 == (n &amp; (n-1)))  \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;  source.append(<span class="stringliteral">&quot;             return n;  \n&quot;</span>);</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  source.append(<span class="stringliteral">&quot;         int exp;  \n&quot;</span>);</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  source.append(<span class="stringliteral">&quot;         frexp(( &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; )n, &amp;exp);  \n&quot;</span>);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  source.append(<span class="stringliteral">&quot;         return (1 &lt;&lt; (exp - 1));  \n&quot;</span>);</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  }</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  <span class="comment">// Compute the next higher power of two of n</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="comment">// n  number for which next higher power of two is seeked</span></div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a930bf5582d6407ead9532a49a51714be">   99</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a930bf5582d6407ead9532a49a51714be">generate_bisect_kernel_ceilPow2</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  {</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;  source.append(<span class="stringliteral">&quot;     inline int  \n&quot;</span>);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  source.append(<span class="stringliteral">&quot;     ceilPow2(int n)  \n&quot;</span>);</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</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;      <span class="comment">// early out if already power of two</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  source.append(<span class="stringliteral">&quot;         if (0 == (n &amp; (n-1)))  \n&quot;</span>);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  source.append(<span class="stringliteral">&quot;             return n;  \n&quot;</span>);</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  source.append(<span class="stringliteral">&quot;         int exp;  \n&quot;</span>);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  source.append(<span class="stringliteral">&quot;         frexp(( &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; )n, &amp;exp);  \n&quot;</span>);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  source.append(<span class="stringliteral">&quot;         return (1 &lt;&lt; exp);  \n&quot;</span>);</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="comment">// Compute midpoint of interval [\a left, \a right] avoiding overflow if possible</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="comment">// left     left  / lower limit of interval</span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="comment">// right    right / upper limit of interval</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71b55d82d86e52a36f7a980e1e1cb60f">  133</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71b55d82d86e52a36f7a980e1e1cb60f">generate_bisect_kernel_computeMidpoint</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  source.append(<span class="stringliteral">&quot;     inline &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; \n&quot;</span>);</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  source.append(<span class="stringliteral">&quot;     computeMidpoint(const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left,\n&quot;</span>);</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  source.append(<span class="stringliteral">&quot;       const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;  right)  \n&quot;</span>);</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;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;  mid;  \n&quot;</span>);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  source.append(<span class="stringliteral">&quot;         if (sign(left) == sign(right))  \n&quot;</span>);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  source.append(<span class="stringliteral">&quot;             mid = left + (right - left) * 0.5f;  \n&quot;</span>);</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  source.append(<span class="stringliteral">&quot;         else  \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;             mid = (left + right) * 0.5f;  \n&quot;</span>);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \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;         return mid;  \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;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  }</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  <span class="comment">// Check if interval converged and store appropriately</span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  <span class="comment">// addr           address where to store the information of the interval</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <span class="comment">// s_left         shared memory storage for left interval limits</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="comment">// s_right        shared memory storage for right interval limits</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="comment">// s_left_count   shared memory storage for number of eigenvalues less than left interval limits</span></div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="comment">// s_right_count  shared memory storage for number of eigenvalues less than right interval limits</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;  <span class="comment">// left           lower limit of interval</span></div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  <span class="comment">// right          upper limit of interval</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;  <span class="comment">// left_count     eigenvalues less than \a left</span></div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  <span class="comment">// right_count    eigenvalues less than \a right</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  <span class="comment">// precision      desired precision for eigenvalues</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00178"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a567689e2cd00785a357a79c9f38eab65">  178</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a567689e2cd00785a357a79c9f38eab65">generate_bisect_kernel_storeInterval</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  {</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  source.append(<span class="stringliteral">&quot;     \n&quot;</span>);</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  source.append(<span class="stringliteral">&quot;     storeInterval(unsigned int addr,  \n&quot;</span>);</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; * s_left,   \n&quot;</span>);</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; * s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local unsigned int * s_left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local unsigned int * s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;  source.append(<span class="stringliteral">&quot;                    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left,   \n&quot;</span>);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  source.append(<span class="stringliteral">&quot;                    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right,  \n&quot;</span>);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  source.append(<span class="stringliteral">&quot;                   unsigned int left_count, \n&quot;</span>);</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  source.append(<span class="stringliteral">&quot;                   unsigned int right_count,  \n&quot;</span>);</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;  precision)  \n&quot;</span>);</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  source.append(<span class="stringliteral">&quot;         s_left_count[addr] = left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  source.append(<span class="stringliteral">&quot;         s_right_count[addr] = right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;      <span class="comment">// check if interval converged</span></div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; t0 = fabs(right - left);  \n&quot;</span>);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;  source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; t1 = max(fabs(left), fabs(right)) * precision;  \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;         if (t0 &lt;= max(( &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; )VIENNACL_BISECT_MIN_ABS_INTERVAL, t1))  \n&quot;</span>);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;          <span class="comment">// compute mid point</span></div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;  source.append(<span class="stringliteral">&quot;              &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; lambda = computeMidpoint(left, right);  \n&quot;</span>);</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;          <span class="comment">// mark as converged</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[addr] = lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[addr] = lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;  source.append(<span class="stringliteral">&quot;         else  \n&quot;</span>);</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;          <span class="comment">// store current limits</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[addr] = left;  \n&quot;</span>);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[addr] = right;  \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;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  }</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00228"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aff62149c62908e2fa37bfbf85a4a5cdf">  228</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aff62149c62908e2fa37bfbf85a4a5cdf">generate_bisect_kernel_storeIntervalShort</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</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;  source.append(<span class="stringliteral">&quot;     \n&quot;</span>);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  source.append(<span class="stringliteral">&quot;     storeIntervalShort(unsigned int addr,  \n&quot;</span>);</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; * s_left,   \n&quot;</span>);</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; * s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local unsigned short * s_left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  source.append(<span class="stringliteral">&quot;                   __local unsigned short * s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  source.append(<span class="stringliteral">&quot;                    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left,   \n&quot;</span>);</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  source.append(<span class="stringliteral">&quot;                    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right,  \n&quot;</span>);</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  source.append(<span class="stringliteral">&quot;                   unsigned int left_count, \n&quot;</span>);</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;  source.append(<span class="stringliteral">&quot;                   unsigned int right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  source.append(<span class="stringliteral">&quot;                    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;  precision)  \n&quot;</span>);</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;  source.append(<span class="stringliteral">&quot;         s_left_count[addr] = left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;  source.append(<span class="stringliteral">&quot;         s_right_count[addr] = right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;      <span class="comment">// check if interval converged</span></div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; t0 = fabs(right - left);  \n&quot;</span>);</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; t1 = max(fabs(left), fabs(right)) * precision;  \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;         if (t0 &lt;= max(( &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; )VIENNACL_BISECT_MIN_ABS_INTERVAL, t1))  \n&quot;</span>);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;          <span class="comment">// compute mid point</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;  source.append(<span class="stringliteral">&quot;              &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; lambda = computeMidpoint(left, right);  \n&quot;</span>);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;          <span class="comment">// mark as converged</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[addr] = lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[addr] = lambda;  \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;         else  \n&quot;</span>);</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \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;          <span class="comment">// store current limits</span></div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[addr] = left;  \n&quot;</span>);</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[addr] = right;  \n&quot;</span>);</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;  }</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;  <span class="comment">// Compute number of eigenvalues that are smaller than x given a symmetric,</span></div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;  <span class="comment">// real, and tridiagonal matrix</span></div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;  <span class="comment">// g_d                   diagonal elements stored in global memory</span></div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;  <span class="comment">// g_s                   superdiagonal elements stored in global memory</span></div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;  <span class="comment">// n                     size of matrix</span></div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  <span class="comment">// x                     value for which the number of eigenvalues that are smaller is sought</span></div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="comment">// tid                   thread identified (e.g. threadIdx.x or gtid)</span></div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;  <span class="comment">// num_intervals_active  number of active intervals / threads that currently process an interval</span></div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  <span class="comment">// s_d                   scratch space to store diagonal entries of the tridiagonal matrix in shared memory</span></div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;  <span class="comment">// s_s                   scratch space to store superdiagonal entries of the tridiagonal matrix in shared memory</span></div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;  <span class="comment">// converged             flag if the current thread is already converged (that is count does not have to be computed)</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00295"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd7b8f4a45a0a33a994c89589efd9cf0">  295</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd7b8f4a45a0a33a994c89589efd9cf0">generate_bisect_kernel_computeNumSmallerEigenvals</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  {</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;  source.append(<span class="stringliteral">&quot;     inline unsigned int  \n&quot;</span>);</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  source.append(<span class="stringliteral">&quot;     computeNumSmallerEigenvals(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_d,   \n&quot;</span>);</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;  source.append(<span class="stringliteral">&quot;                                __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_s,   \n&quot;</span>);</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;  source.append(<span class="stringliteral">&quot;                                const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;  source.append(<span class="stringliteral">&quot;                                const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; x,         \n&quot;</span>);</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;  source.append(<span class="stringliteral">&quot;                                const unsigned int tid,  \n&quot;</span>);</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  source.append(<span class="stringliteral">&quot;                                const unsigned int num_intervals_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;  source.append(<span class="stringliteral">&quot;                                __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_d,  \n&quot;</span>);</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  source.append(<span class="stringliteral">&quot;                                __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_s,  \n&quot;</span>);</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;  source.append(<span class="stringliteral">&quot;                                unsigned int converged  \n&quot;</span>);</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;  source.append(<span class="stringliteral">&quot;                               )  \n&quot;</span>);</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;</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; delta = 1.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;  source.append(<span class="stringliteral">&quot;         unsigned int count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;  source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \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;      <span class="comment">// read data into shared memory</span></div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;  source.append(<span class="stringliteral">&quot;         if (lcl_id &lt; n)  \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;             s_d[lcl_id] = *(g_d + lcl_id);  \n&quot;</span>);</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;  source.append(<span class="stringliteral">&quot;             s_s[lcl_id] = *(g_s + lcl_id - 1);  \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;</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;      <span class="comment">// perform loop only for active threads</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;  source.append(<span class="stringliteral">&quot;         if ((tid &lt; num_intervals_active) &amp;&amp; (0 == converged))  \n&quot;</span>);</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;          <span class="comment">// perform (optimized) Gaussian elimination to determine the number</span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;          <span class="comment">// of eigenvalues that are smaller than n</span></div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;  source.append(<span class="stringliteral">&quot;             for (unsigned int k = 0; k &lt; n; ++k)  \n&quot;</span>);</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;  source.append(<span class="stringliteral">&quot;                 delta = s_d[k] - x - (s_s[k] * s_s[k]) / delta;  \n&quot;</span>);</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;  source.append(<span class="stringliteral">&quot;                 count += (delta &lt; 0) ? 1 : 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;  source.append(<span class="stringliteral">&quot;         } \n&quot;</span>); <span class="comment">// end if thread currently processing an interval</span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;  source.append(<span class="stringliteral">&quot;         return count;  \n&quot;</span>);</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;</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;</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;  <span class="comment">// Compute number of eigenvalues that are smaller than x given a symmetric,</span></div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;  <span class="comment">// real, and tridiagonal matrix</span></div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;  <span class="comment">// g_d                   diagonal elements stored in global memory</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;  <span class="comment">// g_s                   superdiagonal elements stored in global memory</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;  <span class="comment">// n                     size of matrix</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;  <span class="comment">// x                     value for which the number of eigenvalues that are smaller is seeked</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;  <span class="comment">// tid                   thread identified (e.g. threadIdx.x or gtid)</span></div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;  <span class="comment">// num_intervals_active  number of active intervals / threads that currently process an interval</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;  <span class="comment">// s_d                   scratch space to store diagonal entries of the tridiagonal matrix in shared memory</span></div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;  <span class="comment">// s_s                   scratch space to store superdiagonal entries of the tridiagonal matrix in shared memory</span></div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;  <span class="comment">// converged             flag if the current thread is already converged (that is count does not have to be computed)</span></div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ae8638f026e01f96697536552db93212f">  367</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ae8638f026e01f96697536552db93212f">generate_bisect_kernel_computeNumSmallerEigenvalsLarge</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;  {</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;  source.append(<span class="stringliteral">&quot;     inline unsigned int  \n&quot;</span>);</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;  source.append(<span class="stringliteral">&quot;     computeNumSmallerEigenvalsLarge(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_d,   \n&quot;</span>);</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;  source.append(<span class="stringliteral">&quot;                                __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_s,   \n&quot;</span>);</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;  source.append(<span class="stringliteral">&quot;                                const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;  source.append(<span class="stringliteral">&quot;                                const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; x,         \n&quot;</span>);</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;  source.append(<span class="stringliteral">&quot;                                const unsigned int tid,  \n&quot;</span>);</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;  source.append(<span class="stringliteral">&quot;                                const unsigned int num_intervals_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;  source.append(<span class="stringliteral">&quot;                                __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_d,  \n&quot;</span>);</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;  source.append(<span class="stringliteral">&quot;                                __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_s,  \n&quot;</span>);</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  source.append(<span class="stringliteral">&quot;                                unsigned int converged  \n&quot;</span>);</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  source.append(<span class="stringliteral">&quot;                               )  \n&quot;</span>);</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;  source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; delta = 1.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;  source.append(<span class="stringliteral">&quot;         unsigned int count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;  source.append(<span class="stringliteral">&quot;         unsigned int rem = n;  \n&quot;</span>);</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;      <span class="comment">// do until whole diagonal and superdiagonal has been loaded and processed</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  source.append(<span class="stringliteral">&quot;         for (unsigned int i = 0; i &lt; n; i += lcl_sz)  \n&quot;</span>);</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;  source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;          <span class="comment">// read new chunk of data into shared memory</span></div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;  source.append(<span class="stringliteral">&quot;             if ((i + lcl_id) &lt; n)  \n&quot;</span>);</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;  source.append(<span class="stringliteral">&quot;                 s_d[lcl_id] = *(g_d + i + lcl_id);  \n&quot;</span>);</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;  source.append(<span class="stringliteral">&quot;                 s_s[lcl_id] = *(g_s + i + lcl_id - 1);  \n&quot;</span>);</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;  source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</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;</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;  source.append(<span class="stringliteral">&quot;             if (tid &lt; num_intervals_active)  \n&quot;</span>);</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;              <span class="comment">// perform (optimized) Gaussian elimination to determine the number</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;              <span class="comment">// of eigenvalues that are smaller than n</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;  source.append(<span class="stringliteral">&quot;                 for (unsigned int k = 0; k &lt; min(rem,lcl_sz); ++k)  \n&quot;</span>);</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;  source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;  source.append(<span class="stringliteral">&quot;                     delta = s_d[k] - x - (s_s[k] * s_s[k]) / delta;  \n&quot;</span>);</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;                  <span class="comment">// delta = (abs( delta) &lt; (1.0e-10)) ? -(1.0e-10) : delta;</span></div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;  source.append(<span class="stringliteral">&quot;                     count += (delta &lt; 0) ? 1 : 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;  source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;  source.append(<span class="stringliteral">&quot;             } \n&quot;</span>); <span class="comment">// end if thread currently processing an interval</span></div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  source.append(<span class="stringliteral">&quot;             rem -= lcl_sz;  \n&quot;</span>);</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</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;         return count;  \n&quot;</span>);</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \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;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;  }</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;  <span class="comment">// Store all non-empty intervals resulting from the subdivision of the interval</span></div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;  <span class="comment">// currently processed by the thread</span></div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;  <span class="comment">// addr                     base address for storing intervals</span></div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;  <span class="comment">// num_threads_active       number of threads / intervals in current sweep</span></div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;  <span class="comment">// s_left                   shared memory storage for left interval limits</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;  <span class="comment">// s_right                  shared memory storage for right interval limits</span></div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;  <span class="comment">// s_left_count             shared memory storage for number of eigenvalues less than left interval limits</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;  <span class="comment">// s_right_count            shared memory storage for number of eigenvalues less than right interval limits</span></div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;  <span class="comment">// left                     lower limit of interval</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;  <span class="comment">// mid                      midpoint of interval</span></div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;  <span class="comment">// right                    upper limit of interval</span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;  <span class="comment">// left_count               eigenvalues less than \a left</span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;  <span class="comment">// mid_count                eigenvalues less than \a mid</span></div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;  <span class="comment">// right_count              eigenvalues less than \a right</span></div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;  <span class="comment">// precision                desired precision for eigenvalues</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;  <span class="comment">// compact_second_chunk     shared mem flag if second chunk is used and ergo requires compaction</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;  <span class="comment">// s_compaction_list_exc    helper array for stream compaction, s_compaction_list_exc[tid] = 1 when the thread generated two child intervals</span></div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;  <span class="comment">// is_active_interval       mark is thread has a second non-empty child interval</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00456"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aad695fe296aa9e3b6a0dc4c472ad0cd3">  456</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aad695fe296aa9e3b6a0dc4c472ad0cd3">generate_bisect_kernel_storeNonEmptyIntervals</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;  {</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;  source.append(<span class="stringliteral">&quot;     storeNonEmptyIntervals(unsigned int addr,  \n&quot;</span>);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;  source.append(<span class="stringliteral">&quot;                            const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,   \n&quot;</span>);</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *s_left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left, \n &quot;</span>);</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; mid,  \n&quot;</span>);</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;  source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right,\n&quot;</span>);</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;  source.append(<span class="stringliteral">&quot;                            const unsigned int left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;  source.append(<span class="stringliteral">&quot;                            const unsigned int mid_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;  source.append(<span class="stringliteral">&quot;                            const unsigned int right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;  source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; precision,  \n&quot;</span>);</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *is_active_second)  \n&quot;</span>);</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;      <span class="comment">// check if both child intervals are valid</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;  source.append(<span class="stringliteral">&quot;         if ((left_count != mid_count) &amp;&amp; (mid_count != right_count))  \n&quot;</span>);</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</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;          <span class="comment">// store the left interval</span></div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;  source.append(<span class="stringliteral">&quot;             storeInterval(addr, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;  source.append(<span class="stringliteral">&quot;                           left, mid, left_count, mid_count, precision);  \n&quot;</span>);</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;          <span class="comment">// mark that a second interval has been generated, only stored after</span></div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;          <span class="comment">// stream compaction of second chunk</span></div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;  source.append(<span class="stringliteral">&quot;             *is_active_second = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;  source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[lcl_id] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;  source.append(<span class="stringliteral">&quot;             *compact_second_chunk = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;  source.append(<span class="stringliteral">&quot;         else  \n&quot;</span>);</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;          <span class="comment">// only one non-empty child interval</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;          <span class="comment">// mark that no second child</span></div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;  source.append(<span class="stringliteral">&quot;             *is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;  source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[lcl_id] = 0;  \n&quot;</span>);</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="comment">// store the one valid child interval</span></div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;  source.append(<span class="stringliteral">&quot;             if (left_count != mid_count)  \n&quot;</span>);</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;  source.append(<span class="stringliteral">&quot;                 storeInterval(addr, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;  source.append(<span class="stringliteral">&quot;                               left, mid, left_count, mid_count, precision);  \n&quot;</span>);</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;  source.append(<span class="stringliteral">&quot;             else  \n&quot;</span>);</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;  source.append(<span class="stringliteral">&quot;                 storeInterval(addr, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  source.append(<span class="stringliteral">&quot;                               mid, right, mid_count, right_count, precision);  \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;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  }</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;</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00531"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a1caa05ae768ebecd644418202f23cb3b">  531</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a1caa05ae768ebecd644418202f23cb3b">generate_bisect_kernel_storeNonEmptyIntervalsLarge</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;  {</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;      source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;      source.append(<span class="stringliteral">&quot;     storeNonEmptyIntervalsLarge(unsigned int addr,  \n&quot;</span>);</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;      source.append(<span class="stringliteral">&quot;                            const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;      source.append(<span class="stringliteral">&quot;                            __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,   \n&quot;</span>);</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;      source.append(<span class="stringliteral">&quot;                            __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;      source.append(<span class="stringliteral">&quot;                            __local unsigned short *s_left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;      source.append(<span class="stringliteral">&quot;                            __local unsigned short *s_right_count,  \n&quot;</span>);</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; left, \n &quot;</span>);</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;      source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid,  \n&quot;</span>);</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;      source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right,\n&quot;</span>);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;      source.append(<span class="stringliteral">&quot;                            const unsigned int left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;      source.append(<span class="stringliteral">&quot;                            const unsigned int mid_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;      source.append(<span class="stringliteral">&quot;                            const unsigned int right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;      source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; epsilon,  \n&quot;</span>);</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;      source.append(<span class="stringliteral">&quot;                            __local unsigned int *compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;      source.append(<span class="stringliteral">&quot;                            __local unsigned short *s_compaction_list,  \n&quot;</span>);</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;      source.append(<span class="stringliteral">&quot;                            unsigned int *is_active_second)  \n&quot;</span>);</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;          <span class="comment">// check if both child intervals are valid</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;      source.append(<span class="stringliteral">&quot;         if ((left_count != mid_count) &amp;&amp; (mid_count != right_count))  \n&quot;</span>);</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;      source.append(<span class="stringliteral">&quot;             storeIntervalShort(addr, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;      source.append(<span class="stringliteral">&quot;                           left, mid, left_count, mid_count, epsilon);  \n&quot;</span>);</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;      source.append(<span class="stringliteral">&quot;             *is_active_second = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[lcl_id] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;      source.append(<span class="stringliteral">&quot;             *compact_second_chunk = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;      source.append(<span class="stringliteral">&quot;         else  \n&quot;</span>);</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;              <span class="comment">// only one non-empty child interval</span></div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;              <span class="comment">// mark that no second child</span></div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;      source.append(<span class="stringliteral">&quot;             *is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[lcl_id] = 0;  \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;              <span class="comment">// store the one valid child interval</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;      source.append(<span class="stringliteral">&quot;             if (left_count != mid_count)  \n&quot;</span>);</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;      source.append(<span class="stringliteral">&quot;                 storeIntervalShort(addr, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;      source.append(<span class="stringliteral">&quot;                               left, mid, left_count, mid_count, epsilon);  \n&quot;</span>);</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;      source.append(<span class="stringliteral">&quot;             else  \n&quot;</span>);</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;      source.append(<span class="stringliteral">&quot;                 storeIntervalShort(addr, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;      source.append(<span class="stringliteral">&quot;                               mid, right, mid_count, right_count, epsilon);  \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;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</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="l00594"></a><span class="lineno">  594</span>&#160;  <span class="comment">// Create indices for compaction, that is process \a s_compaction_list_exc</span></div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;  <span class="comment">// which is 1 for intervals that generated a second child and 0 otherwise</span></div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;  <span class="comment">// and create for each of the non-zero elements the index where the new</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;  <span class="comment">// interval belongs to in a compact representation of all generated second children</span></div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;  <span class="comment">// s_compaction_list_exc      list containing the flags which threads generated two children</span></div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;  <span class="comment">// num_threads_compaction     number of threads to employ for compaction</span></div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00604"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af493d04690d488d12a9e8b5b671bfce2">  604</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af493d04690d488d12a9e8b5b671bfce2">generate_bisect_kernel_createIndicesCompaction</a>(StringType &amp; source)</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;       \n&quot;</span>);</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;  source.append(<span class="stringliteral">&quot;     createIndicesCompaction(__local unsigned int *s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;  source.append(<span class="stringliteral">&quot;                             unsigned int num_threads_compaction)  \n&quot;</span>);</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;</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;         unsigned int offset = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;     <span class="comment">// if(tid == 0)</span></div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;       <span class="comment">// printf(&quot;num_threads_compaction = %u\n&quot;, num_threads_compaction);</span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;      <span class="comment">// higher levels of scan tree</span></div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;  source.append(<span class="stringliteral">&quot;         for (int d = (num_threads_compaction &gt;&gt; 1); d &gt; 0; d &gt;&gt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;  source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;  source.append(<span class="stringliteral">&quot;             if (tid &lt; d)  \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;                 unsigned int  ai = offset*(2*tid+1)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  bi = offset*(2*tid+2)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;  source.append(<span class="stringliteral">&quot;              \n&quot;</span>);</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;  source.append(<span class="stringliteral">&quot;                 s_compaction_list_exc[bi] =   s_compaction_list_exc[bi]  \n&quot;</span>);</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;  source.append(<span class="stringliteral">&quot;                                               + s_compaction_list_exc[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</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;  source.append(<span class="stringliteral">&quot;             offset &lt;&lt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;      <span class="comment">// traverse down tree: first down to level 2 across</span></div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;  source.append(<span class="stringliteral">&quot;         for (int d = 2; d &lt; num_threads_compaction; d &lt;&lt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</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">  646</span>&#160;  source.append(<span class="stringliteral">&quot;             offset &gt;&gt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;  source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;  source.append(<span class="stringliteral">&quot;             if (tid &lt; (d-1))  \n&quot;</span>);</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</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">  652</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(tid+1) - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  bi = ai + (offset &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;  source.append(<span class="stringliteral">&quot;                 s_compaction_list_exc[bi] =   s_compaction_list_exc[bi]  \n&quot;</span>);</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;  source.append(<span class="stringliteral">&quot;                                               + s_compaction_list_exc[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;  source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</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;</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="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00667"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a46499210dd90f5a0c50806ea5db1a185">  667</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a46499210dd90f5a0c50806ea5db1a185">generate_bisect_kernel_createIndicesCompactionShort</a>(StringType &amp; source)</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;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;  source.append(<span class="stringliteral">&quot;     createIndicesCompactionShort(__local unsigned short *s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;  source.append(<span class="stringliteral">&quot;                             unsigned int num_threads_compaction)  \n&quot;</span>);</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;  source.append(<span class="stringliteral">&quot;         unsigned int offset = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;      <span class="comment">// higher levels of scan tree</span></div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;  source.append(<span class="stringliteral">&quot;         for (int d = (num_threads_compaction &gt;&gt; 1); d &gt; 0; d &gt;&gt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</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;  source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;  source.append(<span class="stringliteral">&quot;             if (tid &lt; d)  \n&quot;</span>);</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(2*tid+1)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  bi = offset*(2*tid+2)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;  source.append(<span class="stringliteral">&quot;              \n&quot;</span>);</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;  source.append(<span class="stringliteral">&quot;                 s_compaction_list_exc[bi] =   s_compaction_list_exc[bi]  \n&quot;</span>);</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;  source.append(<span class="stringliteral">&quot;                                               + s_compaction_list_exc[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;  source.append(<span class="stringliteral">&quot;             offset &lt;&lt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;      <span class="comment">// traverse down tree: first down to level 2 across</span></div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;  source.append(<span class="stringliteral">&quot;         for (int d = 2; d &lt; num_threads_compaction; d &lt;&lt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  source.append(<span class="stringliteral">&quot;             offset &gt;&gt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;  source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;  source.append(<span class="stringliteral">&quot;             if (tid &lt; (d-1))  \n&quot;</span>);</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(tid+1) - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;  source.append(<span class="stringliteral">&quot;                 unsigned int  bi = ai + (offset &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;  source.append(<span class="stringliteral">&quot;                 s_compaction_list_exc[bi] =   s_compaction_list_exc[bi]  \n&quot;</span>);</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;  source.append(<span class="stringliteral">&quot;                                               + s_compaction_list_exc[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;  source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;  }</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;  <span class="comment">// Perform stream compaction for second child intervals</span></div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;  <span class="comment">// s_left              shared memory storage for left interval limits</span></div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;  <span class="comment">// s_right             shared memory storage for right interval limits</span></div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;  <span class="comment">// s_left_count        shared memory storage for number of eigenvalues less than left interval limits</span></div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;  <span class="comment">// s_right_count       shared memory storage for number of eigenvalues less than right interval limits</span></div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;  <span class="comment">// mid                 midpoint of current interval (left of new interval)</span></div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;  <span class="comment">// right               upper limit of interval</span></div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;  <span class="comment">// mid_count           eigenvalues less than \a mid</span></div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;  <span class="comment">// s_compaction_list   list containing the indices where the data has to be stored</span></div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;  <span class="comment">// num_threads_active  number of active threads / intervals</span></div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;  <span class="comment">// is_active_interval  mark is thread has a second non-empty child interval</span></div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00743"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3b5db806d7e384d6384205815cb49f6e">  743</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3b5db806d7e384d6384205815cb49f6e">generate_bisect_kernel_compactIntervals</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;  {</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;  source.append(<span class="stringliteral">&quot;     compactIntervals(__local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,  \n&quot;</span>);</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right, \n&quot;</span>);</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local unsigned int *s_left_count, \n&quot;</span>);</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local unsigned int *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;  source.append(<span class="stringliteral">&quot;                       &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid,  \n&quot;</span>);</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;  source.append(<span class="stringliteral">&quot;                       &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right, \n&quot;</span>);</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;  source.append(<span class="stringliteral">&quot;                      unsigned int mid_count, unsigned int right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local unsigned int *s_compaction_list,  \n&quot;</span>);</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;  source.append(<span class="stringliteral">&quot;                      unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;  source.append(<span class="stringliteral">&quot;                      unsigned int is_active_second)  \n&quot;</span>);</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;      <span class="comment">// perform compaction / copy data for all threads where the second</span></div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;      <span class="comment">// child is not dead</span></div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;  source.append(<span class="stringliteral">&quot;         if ((tid &lt; num_threads_active) &amp;&amp; (1 == is_active_second))  \n&quot;</span>);</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;  source.append(<span class="stringliteral">&quot;             unsigned int addr_w = num_threads_active + s_compaction_list[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[addr_w] = mid;  \n&quot;</span>);</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[addr_w] = right;  \n&quot;</span>);</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left_count[addr_w] = mid_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right_count[addr_w] = right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;  }</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00783"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a4b8d5d1e1da364345b4846035dde7c">  783</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a4b8d5d1e1da364345b4846035dde7c">generate_bisect_kernel_compactIntervalsShort</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;  {</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;  source.append(<span class="stringliteral">&quot;     compactIntervalsShort(__local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,  \n&quot;</span>);</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local unsigned short *s_left_count, \n&quot;</span>);</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local unsigned short *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;  source.append(<span class="stringliteral">&quot;                      &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid,   \n&quot;</span>);</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;  source.append(<span class="stringliteral">&quot;                      &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right, \n&quot;</span>);</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;  source.append(<span class="stringliteral">&quot;                      unsigned int mid_count, unsigned int right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;  source.append(<span class="stringliteral">&quot;                      __local unsigned short *s_compaction_list,  \n&quot;</span>);</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;  source.append(<span class="stringliteral">&quot;                      unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;  source.append(<span class="stringliteral">&quot;                      unsigned int is_active_second)  \n&quot;</span>);</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;      <span class="comment">// perform compaction / copy data for all threads where the second</span></div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;      <span class="comment">// child is not dead</span></div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;  source.append(<span class="stringliteral">&quot;         if ((tid &lt; num_threads_active) &amp;&amp; (1 == is_active_second))  \n&quot;</span>);</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;  source.append(<span class="stringliteral">&quot;             unsigned int addr_w = num_threads_active + s_compaction_list[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[addr_w] = mid;  \n&quot;</span>);</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[addr_w] = right;  \n&quot;</span>);</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left_count[addr_w] = mid_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right_count[addr_w] = right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;  }</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00822"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3bf5e9e8c82f0301f0866dce841a8118">  822</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3bf5e9e8c82f0301f0866dce841a8118">generate_bisect_kernel_storeIntervalConverged</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;  {</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;  source.append(<span class="stringliteral">&quot;     storeIntervalConverged( __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,   \n&quot;</span>);</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,   \n&quot;</span>);</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *s_left_count, \n&quot;</span>);</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;  source.append(<span class="stringliteral">&quot;                            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *left,   \n&quot;</span>);</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;  source.append(<span class="stringliteral">&quot;                            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *mid,   \n&quot;</span>);</div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;  source.append(<span class="stringliteral">&quot;                            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *right,   \n&quot;</span>);</div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *left_count,     \n&quot;</span>);</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *mid_count,      \n&quot;</span>);</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *right_count,     \n&quot;</span>);</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;  source.append(<span class="stringliteral">&quot;                            const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *is_active_second)  \n&quot;</span>);</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int multiplicity = *right_count - *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;      <span class="comment">// check multiplicity of eigenvalue</span></div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;  source.append(<span class="stringliteral">&quot;         if (1 == multiplicity)  \n&quot;</span>);</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;          <span class="comment">// just re-store intervals, simple eigenvalue</span></div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[tid] = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[tid] = *right;  \n&quot;</span>);</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left_count[tid] = *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right_count[tid] = *right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;  source.append(<span class="stringliteral">&quot;             \n&quot;</span>);</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;          <span class="comment">// mark that no second child / clear</span></div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;  source.append(<span class="stringliteral">&quot;             *is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;  source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;  source.append(<span class="stringliteral">&quot;         else  \n&quot;</span>);</div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;          <span class="comment">// number of eigenvalues after the split less than mid</span></div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;  source.append(<span class="stringliteral">&quot;             *mid_count = *left_count + (multiplicity &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;          <span class="comment">// store left interval</span></div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[tid] = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[tid] = *right;  \n&quot;</span>);</div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left_count[tid] = *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right_count[tid] = *mid_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;  source.append(<span class="stringliteral">&quot;             *mid = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;          <span class="comment">// mark that second child interval exists</span></div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;  source.append(<span class="stringliteral">&quot;             *is_active_second = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;  source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[tid] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;  source.append(<span class="stringliteral">&quot;             *compact_second_chunk = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;  }</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00890"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abc6b25fb3693f18d024c5a1615852428">  890</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abc6b25fb3693f18d024c5a1615852428">generate_bisect_kernel_storeIntervalConvergedShort</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;  {</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;  source.append(<span class="stringliteral">&quot;     storeIntervalConvergedShort(__local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,   \n&quot;</span>);</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,   \n&quot;</span>);</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned short *s_left_count, \n&quot;</span>);</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned short *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;  source.append(<span class="stringliteral">&quot;                            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *left,   \n&quot;</span>);</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;  source.append(<span class="stringliteral">&quot;                            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *mid,   \n&quot;</span>);</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;  source.append(<span class="stringliteral">&quot;                            &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *right,   \n&quot;</span>);</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *left_count,     \n&quot;</span>);</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *mid_count,      \n&quot;</span>);</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *right_count,     \n&quot;</span>);</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned short *s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;  source.append(<span class="stringliteral">&quot;                            __local unsigned int *compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;  source.append(<span class="stringliteral">&quot;                            const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;  source.append(<span class="stringliteral">&quot;                            unsigned int *is_active_second)  \n&quot;</span>);</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;  source.append(<span class="stringliteral">&quot;         const unsigned int multiplicity = *right_count - *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;      <span class="comment">// check multiplicity of eigenvalue</span></div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;  source.append(<span class="stringliteral">&quot;         if (1 == multiplicity)  \n&quot;</span>);</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;          <span class="comment">// just re-store intervals, simple eigenvalue</span></div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[tid] = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[tid] = *right;  \n&quot;</span>);</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left_count[tid] = *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right_count[tid] = *right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;  source.append(<span class="stringliteral">&quot;             \n&quot;</span>);</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;</div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;          <span class="comment">// mark that no second child / clear</span></div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;  source.append(<span class="stringliteral">&quot;             *is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;  source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;  source.append(<span class="stringliteral">&quot;         else  \n&quot;</span>);</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;</div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;          <span class="comment">// number of eigenvalues after the split less than mid</span></div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;  source.append(<span class="stringliteral">&quot;             *mid_count = *left_count + (multiplicity &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;</div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;          <span class="comment">// store left interval</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left[tid] = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right[tid] = *right;  \n&quot;</span>);</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;  source.append(<span class="stringliteral">&quot;             s_left_count[tid] = *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;  source.append(<span class="stringliteral">&quot;             s_right_count[tid] = *mid_count;  \n&quot;</span>);</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;  source.append(<span class="stringliteral">&quot;             *mid = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;          <span class="comment">// mark that second child interval exists</span></div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;  source.append(<span class="stringliteral">&quot;             *is_active_second = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;  source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[tid] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;  source.append(<span class="stringliteral">&quot;             *compact_second_chunk = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;  source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;  }</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;  <span class="comment">// Subdivide interval if active and not already converged</span></div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;  <span class="comment">// tid                    id of thread</span></div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;  <span class="comment">// s_left                 shared memory storage for left interval limits</span></div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;  <span class="comment">// s_right                shared memory storage for right interval limits</span></div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;  <span class="comment">// s_left_count           shared memory storage for number of eigenvalues less than left interval limits</span></div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;  <span class="comment">// s_right_count          shared memory storage for number of eigenvalues less than right interval limits</span></div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;  <span class="comment">// num_threads_active     number of active threads in warp</span></div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;  <span class="comment">// left                   lower limit of interval</span></div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;  <span class="comment">// right                  upper limit of interval</span></div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;  <span class="comment">// left_count             eigenvalues less than \a left</span></div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;  <span class="comment">// right_count            eigenvalues less than \a right</span></div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;  <span class="comment">// all_threads_converged  shared memory flag if all threads are converged</span></div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;</div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l00971"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af691d922a1d82dbc23382b2b3042366b">  971</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af691d922a1d82dbc23382b2b3042366b">generate_bisect_kernel_subdivideActiveInterval</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;  {</div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;  source.append(<span class="stringliteral">&quot;     subdivideActiveIntervalMulti(const unsigned int tid,  \n&quot;</span>);</div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,    \n&quot;</span>);</div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,   \n&quot;</span>);</div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local unsigned int *s_left_count,   \n&quot;</span>);</div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local unsigned int *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;  source.append(<span class="stringliteral">&quot;                             const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;  source.append(<span class="stringliteral">&quot;                              &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *left,   \n&quot;</span>);</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;  source.append(<span class="stringliteral">&quot;                              &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *right,   \n&quot;</span>);</div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;  source.append(<span class="stringliteral">&quot;                             unsigned int *left_count, unsigned int *right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;  source.append(<span class="stringliteral">&quot;                              &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *mid,    \n&quot;</span>);</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;  source.append(<span class="stringliteral">&quot;                              __local unsigned int *all_threads_converged)  \n&quot;</span>);</div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;</div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;      <span class="comment">// for all active threads</span></div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;  source.append(<span class="stringliteral">&quot;         if (tid &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;</div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;  source.append(<span class="stringliteral">&quot;             *left = s_left[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;  source.append(<span class="stringliteral">&quot;             *right = s_right[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;  source.append(<span class="stringliteral">&quot;             *left_count = s_left_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;  source.append(<span class="stringliteral">&quot;             *right_count = s_right_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;          <span class="comment">// check if thread already converged</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;  source.append(<span class="stringliteral">&quot;             if (*left != *right)  \n&quot;</span>);</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;</div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;  source.append(<span class="stringliteral">&quot;                 *mid = computeMidpoint(*left, *right);  \n&quot;</span>);</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;  source.append(<span class="stringliteral">&quot;                 *all_threads_converged = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;  source.append(<span class="stringliteral">&quot;             else if ((*right_count - *left_count) &gt; 1)  \n&quot;</span>);</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;              <span class="comment">// mark as not converged if multiple eigenvalues enclosed</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;              <span class="comment">// duplicate interval in storeIntervalsConverged()</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;  source.append(<span class="stringliteral">&quot;                 *all_threads_converged = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;  source.append(<span class="stringliteral">&quot;         }    \n&quot;</span>);</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;  <span class="comment">// end for all active threads</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;  }</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01023"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a364186fe09148b1b12c83a472f19d745"> 1023</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a364186fe09148b1b12c83a472f19d745">generate_bisect_kernel_subdivideActiveIntervalShort</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;  {</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;  source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;  source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;  source.append(<span class="stringliteral">&quot;     subdivideActiveIntervalShort(const unsigned int tid,  \n&quot;</span>);</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,    \n&quot;</span>);</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,   \n&quot;</span>);</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local unsigned short *s_left_count,   \n&quot;</span>);</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local unsigned short *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;  source.append(<span class="stringliteral">&quot;                             const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;  source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *left,   \n&quot;</span>);</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;  source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *right,   \n&quot;</span>);</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;  source.append(<span class="stringliteral">&quot;                             unsigned int *left_count, unsigned int *right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;  source.append(<span class="stringliteral">&quot;                             &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *mid,    \n&quot;</span>);</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;  source.append(<span class="stringliteral">&quot;                             __local unsigned int *all_threads_converged)  \n&quot;</span>);</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;  source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;  source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;  source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;  source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;      <span class="comment">// for all active threads</span></div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;  source.append(<span class="stringliteral">&quot;         if (tid &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;  source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;  source.append(<span class="stringliteral">&quot;             *left = s_left[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;  source.append(<span class="stringliteral">&quot;             *right = s_right[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;  source.append(<span class="stringliteral">&quot;             *left_count = s_left_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;  source.append(<span class="stringliteral">&quot;             *right_count = s_right_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;          <span class="comment">// check if thread already converged</span></div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;  source.append(<span class="stringliteral">&quot;             if (*left != *right)  \n&quot;</span>);</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;  source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;  source.append(<span class="stringliteral">&quot;                 *mid = computeMidpoint(*left, *right);  \n&quot;</span>);</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;  source.append(<span class="stringliteral">&quot;                 *all_threads_converged = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;  source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;  source.append(<span class="stringliteral">&quot;         }    \n&quot;</span>);</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;  <span class="comment">// end for all active threads</span></div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;  source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160;  }</div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;  <span class="comment">// end of utilities</span></div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;  <span class="comment">// start of kernels</span></div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;</div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;</div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;  <span class="comment">// Bisection to find eigenvalues of a real, symmetric, and tridiagonal matrix</span></div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;  <span class="comment">// g_d             diagonal elements in global memory</span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;  <span class="comment">// g_s             superdiagonal elements in global elements (stored so that the element *(g_s - 1) can be accessed an equals 0</span></div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;  <span class="comment">// n               size of matrix</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;  <span class="comment">// lg              lower bound of input interval (e.g. Gerschgorin interval)</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;  <span class="comment">// ug              upper bound of input interval (e.g. Gerschgorin interval)</span></div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;  <span class="comment">// lg_eig_count    number of eigenvalues that are smaller than \a lg</span></div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;  <span class="comment">// lu_eig_count    number of eigenvalues that are smaller than \a lu</span></div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;  <span class="comment">// epsilon         desired accuracy of eigenvalues to compute</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="comment"></span>  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01085"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a983cf94c8567dab6900a9d5f936bcb2f"> 1085</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a983cf94c8567dab6900a9d5f936bcb2f">generate_bisect_kernel_bisectKernel</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;  {</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;      source.append(<span class="stringliteral">&quot;     __kernel  \n&quot;</span>);</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;      source.append(<span class="stringliteral">&quot;     bisectKernelSmall(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_d,   \n&quot;</span>);</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;      source.append(<span class="stringliteral">&quot;                  __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_s,   \n&quot;</span>);</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;      source.append(<span class="stringliteral">&quot;                  const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;      source.append(<span class="stringliteral">&quot;                  __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left,   \n&quot;</span>);</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;      source.append(<span class="stringliteral">&quot;                  __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;      source.append(<span class="stringliteral">&quot;                  __global unsigned int *g_left_count, __global unsigned int *g_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;      source.append(<span class="stringliteral">&quot;                  const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; lg,  \n&quot;</span>);</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;      source.append(<span class="stringliteral">&quot;                  const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ug,  \n&quot;</span>);</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;      source.append(<span class="stringliteral">&quot;                  const unsigned int lg_eig_count, const unsigned int ug_eig_count, \n&quot;</span>);</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;      source.append(<span class="stringliteral">&quot;                  &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; epsilon  \n&quot;</span>);</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;      source.append(<span class="stringliteral">&quot;                 )  \n&quot;</span>);</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;      source.append(<span class="stringliteral">&quot;         g_s = g_s + 1; \n&quot;</span>);</div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;          <span class="comment">// intervals (store left and right because the subdivision tree is in general</span></div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;          <span class="comment">// not dense</span></div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; s_left[VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX];  \n&quot;</span>);</div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; s_right[VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX];  \n&quot;</span>);</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;          <span class="comment">// number of eigenvalues that are smaller than s_left / s_right</span></div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;          <span class="comment">// (correspondence is realized via indices)</span></div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  s_left_count[VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX];  \n&quot;</span>);</div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  s_right_count[VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX];  \n&quot;</span>);</div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;          <span class="comment">// helper for stream compaction</span></div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  \n&quot;</span>);</div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;      source.append(<span class="stringliteral">&quot;           s_compaction_list[VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;</div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;          <span class="comment">// state variables for whole block</span></div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;          <span class="comment">// if 0 then compaction of second chunk of child intervals is not necessary</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;          <span class="comment">// (because all intervals had exactly one non-dead child)</span></div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int compact_second_chunk;  \n&quot;</span>);</div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int all_threads_converged;  \n&quot;</span>);</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;          <span class="comment">// number of currently active threads</span></div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int num_threads_active;  \n&quot;</span>);</div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;          <span class="comment">// number of threads to use for stream compaction</span></div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int num_threads_compaction;  \n&quot;</span>);</div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;          <span class="comment">// helper for exclusive scan</span></div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned int *s_compaction_list_exc = s_compaction_list + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;          <span class="comment">// variables for currently processed interval</span></div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;          <span class="comment">// left and right limit of active interval</span></div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;      source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;      source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int left_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int right_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;          <span class="comment">// midpoint of active interval</span></div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;      source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;          <span class="comment">// number of eigenvalues smaller then mid</span></div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int mid_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;          <span class="comment">// affected from compaction</span></div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;      source.append(<span class="stringliteral">&quot;         s_compaction_list[lcl_id] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;      source.append(<span class="stringliteral">&quot;         s_left[lcl_id] = 0.0;  \n&quot;</span>);</div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160;      source.append(<span class="stringliteral">&quot;         s_right[lcl_id] = 0.0;  \n&quot;</span>);</div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;      source.append(<span class="stringliteral">&quot;         s_left_count[lcl_id] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;      source.append(<span class="stringliteral">&quot;         s_right_count[lcl_id] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160;</div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;</div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;          <span class="comment">// set up initial configuration</span></div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == lcl_id)  \n&quot;</span>);</div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left[0] = lg;  \n&quot;</span>);</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right[0] = ug;  \n&quot;</span>);</div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left_count[0] = lg_eig_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right_count[0] = ug_eig_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;</div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;      source.append(<span class="stringliteral">&quot;             compact_second_chunk = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;      source.append(<span class="stringliteral">&quot;             num_threads_active = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;</div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;      source.append(<span class="stringliteral">&quot;             num_threads_compaction = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;</div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;          <span class="comment">// for all active threads read intervals from the last level</span></div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;          <span class="comment">// the number of (worst case) active threads per level l is 2^l</span></div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;</div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;      source.append(<span class="stringliteral">&quot;         while (true)  \n&quot;</span>);</div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;</div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160;      source.append(<span class="stringliteral">&quot;             all_threads_converged = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160;</div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;      source.append(<span class="stringliteral">&quot;             is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160;      source.append(<span class="stringliteral">&quot;             subdivideActiveIntervalMulti(lcl_id,  \n&quot;</span>);</div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;      source.append(<span class="stringliteral">&quot;                                     s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160;      source.append(<span class="stringliteral">&quot;                                     num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &amp;left, &amp;right, &amp;left_count, &amp;right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &amp;mid, &amp;all_threads_converged);  \n&quot;</span>);</div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160;   <span class="comment">//   source.append(&quot;             output[lcl_id] = s_left;  \n&quot;);</span></div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;</div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;              <span class="comment">// check if done</span></div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;      source.append(<span class="stringliteral">&quot;             if (1 == all_threads_converged)  \n&quot;</span>);</div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;      source.append(<span class="stringliteral">&quot;                 break;  \n&quot;</span>);</div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;</div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;</div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;              <span class="comment">// compute number of eigenvalues smaller than mid</span></div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;              <span class="comment">// use all threads for reading the necessary matrix data from global</span></div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;              <span class="comment">// memory</span></div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;              <span class="comment">// use s_left and s_right as scratch space for diagonal and</span></div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;              <span class="comment">// superdiagonal of matrix</span></div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;      source.append(<span class="stringliteral">&quot;             mid_count = computeNumSmallerEigenvals(g_d, g_s, n, mid,  \n&quot;</span>);</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;      source.append(<span class="stringliteral">&quot;                                                    lcl_id, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;      source.append(<span class="stringliteral">&quot;                                                    s_left, s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;      source.append(<span class="stringliteral">&quot;                                                    (left == right));  \n&quot;</span>);</div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;              <span class="comment">// store intervals</span></div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;              <span class="comment">// for all threads store the first child interval in a continuous chunk of</span></div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;              <span class="comment">// memory, and the second child interval -- if it exists -- in a second</span></div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;              <span class="comment">// chunk; it is likely that all threads reach convergence up to</span></div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;              <span class="comment">// \a epsilon at the same level; furthermore, for higher level most / all</span></div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;              <span class="comment">// threads will have only one child, storing the first child compactly will</span></div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;              <span class="comment">// (first) avoid to perform a compaction step on the first chunk, (second)</span></div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;              <span class="comment">// make it for higher levels (when all threads / intervals have</span></div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;              <span class="comment">// exactly one child)  unnecessary to perform a compaction of the second</span></div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;              <span class="comment">// chunk</span></div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;      source.append(<span class="stringliteral">&quot;             if (lcl_id &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160;</div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;      source.append(<span class="stringliteral">&quot;                 if (left != right)  \n&quot;</span>);</div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160;</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;                      <span class="comment">// store intervals</span></div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;      source.append(<span class="stringliteral">&quot;                     storeNonEmptyIntervals(lcl_id, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;      source.append(<span class="stringliteral">&quot;                                            s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;      source.append(<span class="stringliteral">&quot;                                            left, mid, right,  \n&quot;</span>);</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;      source.append(<span class="stringliteral">&quot;                                            left_count, mid_count, right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;      source.append(<span class="stringliteral">&quot;                                            epsilon, &amp;compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;      source.append(<span class="stringliteral">&quot;                                            s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;      source.append(<span class="stringliteral">&quot;                 else  \n&quot;</span>);</div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;</div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;      source.append(<span class="stringliteral">&quot;                     storeIntervalConverged(s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;left, &amp;mid, &amp;right,  \n&quot;</span>);</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;left_count, &amp;mid_count, &amp;right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;      source.append(<span class="stringliteral">&quot;                                            s_compaction_list_exc, &amp;compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;      source.append(<span class="stringliteral">&quot;                                            num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;</div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;              <span class="comment">// necessary so that compact_second_chunk is up-to-date</span></div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;</div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;              <span class="comment">// perform compaction of chunk where second children are stored</span></div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160;              <span class="comment">// scan of (num_threads_actieigenvaluesve / 2) elements, thus at most</span></div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160;              <span class="comment">// (num_threads_active / 4) threads are needed</span></div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;      source.append(<span class="stringliteral">&quot;             if (compact_second_chunk &gt; 0)  \n&quot;</span>);</div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;</div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;      source.append(<span class="stringliteral">&quot;                 createIndicesCompaction(s_compaction_list_exc, num_threads_compaction);  \n&quot;</span>);</div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;</div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160;      source.append(<span class="stringliteral">&quot;                 compactIntervals(s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;      source.append(<span class="stringliteral">&quot;                                  mid, right, mid_count, right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;      source.append(<span class="stringliteral">&quot;                                  s_compaction_list, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;      source.append(<span class="stringliteral">&quot;                                  is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;</div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;      source.append(<span class="stringliteral">&quot;             if (0 == lcl_id)  \n&quot;</span>);</div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;</div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;                  <span class="comment">// update number of active threads with result of reduction</span></div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;      source.append(<span class="stringliteral">&quot;                 num_threads_active += s_compaction_list[num_threads_active];  \n&quot;</span>);</div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;      source.append(<span class="stringliteral">&quot;                 num_threads_compaction = ceilPow2(num_threads_active);  \n&quot;</span>);</div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;</div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;      source.append(<span class="stringliteral">&quot;                 compact_second_chunk = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160;</div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;          <span class="comment">// write resulting intervals to global mem</span></div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160;          <span class="comment">// for all threads write if they have been converged to an eigenvalue to</span></div>
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;          <span class="comment">// a separate array</span></div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;</div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;          <span class="comment">// at most n valid intervals</span></div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160;      source.append(<span class="stringliteral">&quot;         if (lcl_id &lt; n)  \n&quot;</span>);</div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160;              <span class="comment">// intervals converged so left and right limit are identical</span></div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;      source.append(<span class="stringliteral">&quot;             g_left[lcl_id]  = s_left[lcl_id];  \n&quot;</span>);</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;              <span class="comment">// left count is sufficient to have global order</span></div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160;      source.append(<span class="stringliteral">&quot;             g_left_count[lcl_id]  = s_left_count[lcl_id];  \n&quot;</span>);</div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;     }</div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;  <span class="comment">// Perform second step of bisection algorithm for large matrices for intervals that after the first step contained more than one eigenvalue</span></div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;  <span class="comment">// g_d              diagonal elements of symmetric, tridiagonal matrix</span></div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;  <span class="comment">// g_s              superdiagonal elements of symmetric, tridiagonal matrix</span></div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;  <span class="comment">// n                matrix size</span></div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;  <span class="comment">// blocks_mult      start addresses of blocks of intervals that are processed by one block of threads, each of the intervals contains more than one eigenvalue</span></div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;  <span class="comment">// blocks_mult_sum  total number of eigenvalues / singleton intervals in one block of intervals</span></div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;  <span class="comment">// g_left           left limits of intervals</span></div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;  <span class="comment">// g_right          right limits of intervals</span></div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;  <span class="comment">// g_left_count     number of eigenvalues less than left limits</span></div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;  <span class="comment">// g_right_count    number of eigenvalues less than right limits</span></div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;  <span class="comment">// g_lambda         final eigenvalue</span></div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;  <span class="comment">// g_pos            index of eigenvalue (in ascending order)</span></div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;  <span class="comment">// precision         desired precision of eigenvalues</span></div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01317"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a616e5afb93ae1f2c59fcb93aa99a53"> 1317</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a616e5afb93ae1f2c59fcb93aa99a53">generate_bisect_kernel_bisectKernelLarge_MultIntervals</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;  {</div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;      source.append(<span class="stringliteral">&quot;     __kernel  \n&quot;</span>);</div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;      source.append(<span class="stringliteral">&quot;     bisectKernelLarge_MultIntervals(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_d,   \n&quot;</span>);</div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_s,   \n&quot;</span>);</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;      source.append(<span class="stringliteral">&quot;                                     const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global unsigned int *blocks_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global unsigned int *blocks_mult_sum,  \n&quot;</span>);</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left,   \n&quot;</span>);</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global unsigned int *g_left_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global unsigned int *g_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global  &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_lambda, \n&quot;</span>);</div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;      source.append(<span class="stringliteral">&quot;                                     __global unsigned int *g_pos,  \n&quot;</span>);</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; precision  \n&quot;</span>);</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;      source.append(<span class="stringliteral">&quot;                                    )  \n&quot;</span>);</div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;      source.append(<span class="stringliteral">&quot;         g_s = g_s + 1; \n&quot;</span>);</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;</div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160;      source.append(<span class="stringliteral">&quot;       const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;          <span class="comment">// left and right limits of interval</span></div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; s_left[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK];  \n&quot;</span>);</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; s_right[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK];  \n&quot;</span>);</div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;</div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;          <span class="comment">// number of eigenvalues smaller than interval limits</span></div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  s_left_count[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK];  \n&quot;</span>);</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  s_right_count[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK];  \n&quot;</span>);</div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;</div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;          <span class="comment">// helper array for chunk compaction of second chunk</span></div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  s_compaction_list[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;          <span class="comment">// compaction list helper for exclusive scan</span></div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned int *s_compaction_list_exc = s_compaction_list + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;</div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160;          <span class="comment">// flag if all threads are converged</span></div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  all_threads_converged;  \n&quot;</span>);</div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160;          <span class="comment">// number of active threads</span></div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  num_threads_active;  \n&quot;</span>);</div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160;          <span class="comment">// number of threads to employ for compaction</span></div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  num_threads_compaction;  \n&quot;</span>);</div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;          <span class="comment">// flag if second chunk has to be compacted</span></div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int compact_second_chunk;  \n&quot;</span>);</div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160;</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;          <span class="comment">// parameters of block of intervals processed by this block of threads</span></div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  c_block_start;  \n&quot;</span>);</div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  c_block_end;  \n&quot;</span>);</div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  c_block_offset_output;  \n&quot;</span>);</div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;</div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;          <span class="comment">// midpoint of currently active interval of the thread</span></div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;          <span class="comment">// number of eigenvalues smaller than \a mid</span></div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  mid_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;          <span class="comment">// current interval parameter</span></div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  left_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  right_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;          <span class="comment">// helper for compaction, keep track which threads have a second child</span></div>
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160;</div>
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE);            \n&quot;</span>);</div>
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160;</div>
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160;          <span class="comment">// initialize common start conditions</span></div>
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;</div>
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;      source.append(<span class="stringliteral">&quot;             c_block_start = blocks_mult[grp_id];  \n&quot;</span>);</div>
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;      source.append(<span class="stringliteral">&quot;             c_block_end = blocks_mult[grp_id + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160;      source.append(<span class="stringliteral">&quot;             c_block_offset_output = blocks_mult_sum[grp_id];  \n&quot;</span>);</div>
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;      source.append(<span class="stringliteral">&quot;               \n&quot;</span>);</div>
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160;</div>
<div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160;      source.append(<span class="stringliteral">&quot;             num_threads_active = c_block_end - c_block_start;  \n&quot;</span>);</div>
<div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[0] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160;      source.append(<span class="stringliteral">&quot;             num_threads_compaction = ceilPow2(num_threads_active);  \n&quot;</span>);</div>
<div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;</div>
<div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160;      source.append(<span class="stringliteral">&quot;             all_threads_converged = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;      source.append(<span class="stringliteral">&quot;             compact_second_chunk = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160;      source.append(<span class="stringliteral">&quot;          s_left_count [tid] = 42;  \n&quot;</span>);</div>
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160;      source.append(<span class="stringliteral">&quot;          s_right_count[tid] = 42;  \n&quot;</span>);</div>
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160;      source.append(<span class="stringliteral">&quot;          s_left_count [tid + VIENNACL_BISECT_MAX_THREADS_BLOCK] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160;      source.append(<span class="stringliteral">&quot;          s_right_count[tid + VIENNACL_BISECT_MAX_THREADS_BLOCK] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160;</div>
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160;          <span class="comment">// read data into shared memory</span></div>
<div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160;</div>
<div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left[tid]  = g_left[c_block_start + tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right[tid] = g_right[c_block_start + tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left_count[tid]  = g_left_count[c_block_start + tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right_count[tid] = g_right_count[c_block_start + tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160;      source.append(<span class="stringliteral">&quot;               \n&quot;</span>);</div>
<div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160;      source.append(<span class="stringliteral">&quot;        \n&quot;</span>);</div>
<div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int iter = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160;          <span class="comment">// do until all threads converged</span></div>
<div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160;      source.append(<span class="stringliteral">&quot;         while (true)  \n&quot;</span>);</div>
<div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160;      source.append(<span class="stringliteral">&quot;             iter++;  \n&quot;</span>);</div>
<div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160;              <span class="comment">//for (int iter=0; iter &lt; 0; iter++) {</span></div>
<div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[lcl_id] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[lcl_id + lcl_sz] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;</div>
<div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;              <span class="comment">// subdivide interval if currently active and not already converged</span></div>
<div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160;      source.append(<span class="stringliteral">&quot;             subdivideActiveIntervalMulti(tid, s_left, s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;      source.append(<span class="stringliteral">&quot;                                     s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;      source.append(<span class="stringliteral">&quot;                                     num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &amp;left, &amp;right, &amp;left_count, &amp;right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &amp;mid, &amp;all_threads_converged);  \n&quot;</span>);</div>
<div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;</div>
<div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160;              <span class="comment">// stop if all eigenvalues have been found</span></div>
<div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160;      source.append(<span class="stringliteral">&quot;             if (1 == all_threads_converged)  \n&quot;</span>);</div>
<div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160;      source.append(<span class="stringliteral">&quot;                  \n&quot;</span>);</div>
<div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160;      source.append(<span class="stringliteral">&quot;                 break;  \n&quot;</span>);</div>
<div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160;</div>
<div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160;              <span class="comment">// compute number of eigenvalues smaller than mid for active and not</span></div>
<div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160;              <span class="comment">// converged intervals, use all threads for loading data from gmem and</span></div>
<div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160;              <span class="comment">// s_left and s_right as scratch space to store the data load from gmem</span></div>
<div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>&#160;              <span class="comment">// in shared memory</span></div>
<div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160;      source.append(<span class="stringliteral">&quot;             mid_count = computeNumSmallerEigenvalsLarge(g_d, g_s, n,  \n&quot;</span>);</div>
<div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         mid, tid, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01452"></a><span class="lineno"> 1452</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         s_left, s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         (left == right));  \n&quot;</span>);</div>
<div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>&#160;      source.append(<span class="stringliteral">&quot;                                                \n&quot;</span>);</div>
<div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160;</div>
<div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160;      source.append(<span class="stringliteral">&quot;                   \n&quot;</span>);</div>
<div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160;                  <span class="comment">// store intervals</span></div>
<div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>&#160;      source.append(<span class="stringliteral">&quot;                 if (left != right)  \n&quot;</span>);</div>
<div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160;</div>
<div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160;      source.append(<span class="stringliteral">&quot;                     storeNonEmptyIntervals(tid, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160;      source.append(<span class="stringliteral">&quot;                                            s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160;      source.append(<span class="stringliteral">&quot;                                            left, mid, right,  \n&quot;</span>);</div>
<div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>&#160;      source.append(<span class="stringliteral">&quot;                                            left_count, mid_count, right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160;      source.append(<span class="stringliteral">&quot;                                            precision, &amp;compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160;      source.append(<span class="stringliteral">&quot;                                            s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160;      source.append(<span class="stringliteral">&quot;                      \n&quot;</span>);</div>
<div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160;      source.append(<span class="stringliteral">&quot;                 else  \n&quot;</span>);</div>
<div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160;</div>
<div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160;      source.append(<span class="stringliteral">&quot;                     storeIntervalConverged(s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01477"></a><span class="lineno"> 1477</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;left, &amp;mid, &amp;right,  \n&quot;</span>);</div>
<div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;left_count, &amp;mid_count, &amp;right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>&#160;      source.append(<span class="stringliteral">&quot;                                            s_compaction_list_exc, &amp;compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l01480"></a><span class="lineno"> 1480</span>&#160;      source.append(<span class="stringliteral">&quot;                                            num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>&#160;      source.append(<span class="stringliteral">&quot;                                            &amp;is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l01482"></a><span class="lineno"> 1482</span>&#160;      source.append(<span class="stringliteral">&quot;                   \n&quot;</span>);</div>
<div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>&#160;</div>
<div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01487"></a><span class="lineno"> 1487</span>&#160;</div>
<div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>&#160;              <span class="comment">// compact second chunk of intervals if any of the threads generated</span></div>
<div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>&#160;              <span class="comment">// two child intervals</span></div>
<div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>&#160;      source.append(<span class="stringliteral">&quot;             if (1 == compact_second_chunk)  \n&quot;</span>);</div>
<div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01492"></a><span class="lineno"> 1492</span>&#160;</div>
<div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>&#160;      source.append(<span class="stringliteral">&quot;                 createIndicesCompaction(s_compaction_list_exc, num_threads_compaction);  \n&quot;</span>);</div>
<div class="line"><a name="l01494"></a><span class="lineno"> 1494</span>&#160;      source.append(<span class="stringliteral">&quot;                 compactIntervals(s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>&#160;      source.append(<span class="stringliteral">&quot;                                  mid, right, mid_count, right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>&#160;      source.append(<span class="stringliteral">&quot;                                  s_compaction_list, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>&#160;      source.append(<span class="stringliteral">&quot;                                  is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160;</div>
<div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160;</div>
<div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>&#160;              <span class="comment">// update state variables</span></div>
<div class="line"><a name="l01503"></a><span class="lineno"> 1503</span>&#160;      source.append(<span class="stringliteral">&quot;             if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>&#160;      source.append(<span class="stringliteral">&quot;                 num_threads_active += s_compaction_list[num_threads_active];  \n&quot;</span>);</div>
<div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>&#160;      source.append(<span class="stringliteral">&quot;                 num_threads_compaction = ceilPow2(num_threads_active);  \n&quot;</span>);</div>
<div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>&#160;</div>
<div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160;      source.append(<span class="stringliteral">&quot;                 compact_second_chunk = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>&#160;      source.append(<span class="stringliteral">&quot;                 all_threads_converged = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160;</div>
<div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>&#160;</div>
<div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160;              <span class="comment">// clear</span></div>
<div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[lcl_id] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list_exc[lcl_id + lcl_sz] = 0;   \n&quot;</span>);</div>
<div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>&#160;      source.append(<span class="stringliteral">&quot;               \n&quot;</span>);</div>
<div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>&#160;      source.append(<span class="stringliteral">&quot;             if (num_threads_compaction &gt; lcl_sz)              \n&quot;</span>);</div>
<div class="line"><a name="l01519"></a><span class="lineno"> 1519</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>&#160;      source.append(<span class="stringliteral">&quot;               break;  \n&quot;</span>);</div>
<div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160;</div>
<div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160;</div>
<div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160;</div>
<div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>); <span class="comment">// end until all threads converged</span></div>
<div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160;</div>
<div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160;          <span class="comment">// write data back to global memory</span></div>
<div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>&#160;</div>
<div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>&#160;      source.append(<span class="stringliteral">&quot;             unsigned int addr = c_block_offset_output + tid;  \n&quot;</span>);</div>
<div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>&#160;      source.append(<span class="stringliteral">&quot;               \n&quot;</span>);</div>
<div class="line"><a name="l01534"></a><span class="lineno"> 1534</span>&#160;      source.append(<span class="stringliteral">&quot;             g_lambda[addr]  = s_left[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160;      source.append(<span class="stringliteral">&quot;             g_pos[addr]   = s_right_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160;  }</div>
<div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160;</div>
<div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>&#160;</div>
<div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160;  <span class="comment">// Determine eigenvalues for large matrices for intervals that after the first step contained one eigenvalue</span></div>
<div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>&#160;  <span class="comment">// g_d            diagonal elements of symmetric, tridiagonal matrix</span></div>
<div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>&#160;  <span class="comment">// g_s            superdiagonal elements of symmetric, tridiagonal matrix</span></div>
<div class="line"><a name="l01546"></a><span class="lineno"> 1546</span>&#160;  <span class="comment">// n              matrix size</span></div>
<div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>&#160;  <span class="comment">// num_intervals  total number of intervals containing one eigenvalue after the first step</span></div>
<div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160;  <span class="comment">// g_left         left interval limits</span></div>
<div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>&#160;  <span class="comment">// g_right        right interval limits</span></div>
<div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>&#160;  <span class="comment">// g_pos          index of interval / number of intervals that are smaller than right interval limit</span></div>
<div class="line"><a name="l01551"></a><span class="lineno"> 1551</span>&#160;  <span class="comment">// precision      desired precision of eigenvalues</span></div>
<div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01555"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a48bea4f56f9bc4d20db56ab72fb31238"> 1555</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a48bea4f56f9bc4d20db56ab72fb31238">generate_bisect_kernel_bisectKernelLarge_OneIntervals</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>&#160;  {</div>
<div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>&#160;      source.append(<span class="stringliteral">&quot;     __kernel  \n&quot;</span>);</div>
<div class="line"><a name="l01558"></a><span class="lineno"> 1558</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01559"></a><span class="lineno"> 1559</span>&#160;      source.append(<span class="stringliteral">&quot;     bisectKernelLarge_OneIntervals(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_d,   \n&quot;</span>);</div>
<div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>&#160;      source.append(<span class="stringliteral">&quot;                                    __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_s,    \n&quot;</span>);</div>
<div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>&#160;      source.append(<span class="stringliteral">&quot;                                    const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>&#160;      source.append(<span class="stringliteral">&quot;                                    unsigned int num_intervals,  \n&quot;</span>);</div>
<div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>&#160;      source.append(<span class="stringliteral">&quot;                                    __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left,  \n&quot;</span>);</div>
<div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>&#160;      source.append(<span class="stringliteral">&quot;                                    __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>&#160;      source.append(<span class="stringliteral">&quot;                                    __global unsigned int *g_pos,  \n&quot;</span>);</div>
<div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>&#160;      source.append(<span class="stringliteral">&quot;                                    &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; precision)  \n&quot;</span>);</div>
<div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>&#160;      source.append(<span class="stringliteral">&quot;         g_s = g_s + 1; \n&quot;</span>);</div>
<div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01570"></a><span class="lineno"> 1570</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>&#160;      source.append(<span class="stringliteral">&quot;         const unsigned int gtid = (lcl_sz * grp_id) + lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; s_left_scratch[VIENNACL_BISECT_MAX_THREADS_BLOCK];  \n&quot;</span>);</div>
<div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; s_right_scratch[VIENNACL_BISECT_MAX_THREADS_BLOCK];  \n&quot;</span>);</div>
<div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>&#160;          <span class="comment">// active interval of thread</span></div>
<div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>&#160;          <span class="comment">// left and right limit of current interval</span></div>
<div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>&#160;      source.append(<span class="stringliteral">&quot;          &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left, right;  \n&quot;</span>);</div>
<div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>&#160;          <span class="comment">// number of threads smaller than the right limit (also corresponds to the</span></div>
<div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>&#160;          <span class="comment">// global index of the eigenvalues contained in the active interval)</span></div>
<div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>&#160;          <span class="comment">// flag if current thread converged</span></div>
<div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int converged = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>&#160;          <span class="comment">// midpoint when current interval is subdivided</span></div>
<div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>&#160;          <span class="comment">// number of eigenvalues less than mid</span></div>
<div class="line"><a name="l01588"></a><span class="lineno"> 1588</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int mid_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>&#160;</div>
<div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>&#160;          <span class="comment">// read data from global memory</span></div>
<div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>&#160;      source.append(<span class="stringliteral">&quot;         if (gtid &lt; num_intervals)  \n&quot;</span>);</div>
<div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>&#160;      source.append(<span class="stringliteral">&quot;             left = g_left[gtid];  \n&quot;</span>);</div>
<div class="line"><a name="l01594"></a><span class="lineno"> 1594</span>&#160;      source.append(<span class="stringliteral">&quot;             right = g_right[gtid];  \n&quot;</span>);</div>
<div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>&#160;      source.append(<span class="stringliteral">&quot;             right_count = g_pos[gtid];  \n&quot;</span>);</div>
<div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01597"></a><span class="lineno"> 1597</span>&#160;          <span class="comment">// flag to determine if all threads converged to eigenvalue</span></div>
<div class="line"><a name="l01598"></a><span class="lineno"> 1598</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int  converged_all_threads;  \n&quot;</span>);</div>
<div class="line"><a name="l01599"></a><span class="lineno"> 1599</span>&#160;          <span class="comment">// initialized shared flag</span></div>
<div class="line"><a name="l01600"></a><span class="lineno"> 1600</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == lcl_id)  \n&quot;</span>);</div>
<div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>&#160;      source.append(<span class="stringliteral">&quot;             converged_all_threads = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>&#160;          <span class="comment">// process until all threads converged to an eigenvalue</span></div>
<div class="line"><a name="l01606"></a><span class="lineno"> 1606</span>&#160;      source.append(<span class="stringliteral">&quot;         while (true)  \n&quot;</span>);</div>
<div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>&#160;      source.append(<span class="stringliteral">&quot;             converged_all_threads = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>&#160;              <span class="comment">// update midpoint for all active threads</span></div>
<div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>&#160;      source.append(<span class="stringliteral">&quot;             if ((gtid &lt; num_intervals) &amp;&amp; (0 == converged))  \n&quot;</span>);</div>
<div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01612"></a><span class="lineno"> 1612</span>&#160;      source.append(<span class="stringliteral">&quot;                 mid = computeMidpoint(left, right);  \n&quot;</span>);</div>
<div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01614"></a><span class="lineno"> 1614</span>&#160;              <span class="comment">// find number of eigenvalues that are smaller than midpoint</span></div>
<div class="line"><a name="l01615"></a><span class="lineno"> 1615</span>&#160;      source.append(<span class="stringliteral">&quot;             mid_count = computeNumSmallerEigenvalsLarge(g_d, g_s, n,  \n&quot;</span>);</div>
<div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         mid, gtid, num_intervals,  \n&quot;</span>);</div>
<div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         s_left_scratch,  \n&quot;</span>);</div>
<div class="line"><a name="l01618"></a><span class="lineno"> 1618</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         s_right_scratch,  \n&quot;</span>);</div>
<div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         converged);  \n&quot;</span>);</div>
<div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01621"></a><span class="lineno"> 1621</span>&#160;              <span class="comment">// for all active threads</span></div>
<div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>&#160;      source.append(<span class="stringliteral">&quot;             if ((gtid &lt; num_intervals) &amp;&amp; (0 == converged))  \n&quot;</span>);</div>
<div class="line"><a name="l01623"></a><span class="lineno"> 1623</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01624"></a><span class="lineno"> 1624</span>&#160;                  <span class="comment">// update intervals -- always one child interval survives</span></div>
<div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>&#160;      source.append(<span class="stringliteral">&quot;                 if (right_count == mid_count)  \n&quot;</span>);</div>
<div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01627"></a><span class="lineno"> 1627</span>&#160;      source.append(<span class="stringliteral">&quot;                     right = mid;  \n&quot;</span>);</div>
<div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>&#160;      source.append(<span class="stringliteral">&quot;                 else  \n&quot;</span>);</div>
<div class="line"><a name="l01630"></a><span class="lineno"> 1630</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>&#160;      source.append(<span class="stringliteral">&quot;                     left = mid;  \n&quot;</span>);</div>
<div class="line"><a name="l01632"></a><span class="lineno"> 1632</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01633"></a><span class="lineno"> 1633</span>&#160;                  <span class="comment">// check for convergence</span></div>
<div class="line"><a name="l01634"></a><span class="lineno"> 1634</span>&#160;      source.append(<span class="stringliteral">&quot;                 &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; t0 = right - left;  \n&quot;</span>);</div>
<div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>&#160;      source.append(<span class="stringliteral">&quot;                 &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; t1 = max(fabs(right), fabs(left)) * precision;  \n&quot;</span>);</div>
<div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>&#160;</div>
<div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>&#160;      source.append(<span class="stringliteral">&quot;                 if (t0 &lt; min(precision, t1))  \n&quot;</span>);</div>
<div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>&#160;      source.append(<span class="stringliteral">&quot;                     &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; lambda = computeMidpoint(left, right);  \n&quot;</span>);</div>
<div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>&#160;      source.append(<span class="stringliteral">&quot;                     left = lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>&#160;      source.append(<span class="stringliteral">&quot;                     right = lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>&#160;</div>
<div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>&#160;      source.append(<span class="stringliteral">&quot;                     converged = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>&#160;      source.append(<span class="stringliteral">&quot;                 else  \n&quot;</span>);</div>
<div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>&#160;      source.append(<span class="stringliteral">&quot;                     converged_all_threads = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>&#160;      source.append(<span class="stringliteral">&quot;             if (1 == converged_all_threads)  \n&quot;</span>);</div>
<div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>&#160;      source.append(<span class="stringliteral">&quot;                 break;  \n&quot;</span>);</div>
<div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>&#160;          <span class="comment">// write data back to global memory</span></div>
<div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01659"></a><span class="lineno"> 1659</span>&#160;      source.append(<span class="stringliteral">&quot;         if (gtid &lt; num_intervals)  \n&quot;</span>);</div>
<div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01661"></a><span class="lineno"> 1661</span>&#160;              <span class="comment">// intervals converged so left and right interval limit are both identical</span></div>
<div class="line"><a name="l01662"></a><span class="lineno"> 1662</span>&#160;              <span class="comment">// and identical to the eigenvalue</span></div>
<div class="line"><a name="l01663"></a><span class="lineno"> 1663</span>&#160;      source.append(<span class="stringliteral">&quot;             g_left[gtid] = left;  \n&quot;</span>);</div>
<div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01665"></a><span class="lineno"> 1665</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01666"></a><span class="lineno"> 1666</span>&#160;  }</div>
<div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>&#160;</div>
<div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>&#160;  <span class="comment">// Write data to global memory</span></div>
<div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l01672"></a><span class="lineno"> 1672</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01673"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aaf9b91abeeeaf47b193c4a8a3d92af79"> 1673</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aaf9b91abeeeaf47b193c4a8a3d92af79">generate_bisect_kernel_writeToGmem</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>&#160;  {</div>
<div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>&#160;      source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l01676"></a><span class="lineno"> 1676</span>&#160;      source.append(<span class="stringliteral">&quot;     void writeToGmem(const unsigned int tid, const unsigned int tid_2,  \n&quot;</span>);</div>
<div class="line"><a name="l01677"></a><span class="lineno"> 1677</span>&#160;      source.append(<span class="stringliteral">&quot;                      const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01678"></a><span class="lineno"> 1678</span>&#160;      source.append(<span class="stringliteral">&quot;                      const unsigned int num_blocks_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left_one,    \n&quot;</span>);</div>
<div class="line"><a name="l01680"></a><span class="lineno"> 1680</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right_one,   \n&quot;</span>);</div>
<div class="line"><a name="l01681"></a><span class="lineno"> 1681</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global unsigned int *g_pos_one,  \n&quot;</span>);</div>
<div class="line"><a name="l01682"></a><span class="lineno"> 1682</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left_mult,   \n&quot;</span>);</div>
<div class="line"><a name="l01683"></a><span class="lineno"> 1683</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01684"></a><span class="lineno"> 1684</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global unsigned int *g_left_count_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01685"></a><span class="lineno"> 1685</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global unsigned int *g_right_count_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01686"></a><span class="lineno"> 1686</span>&#160;      source.append(<span class="stringliteral">&quot;                      __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,    \n&quot;</span>);</div>
<div class="line"><a name="l01687"></a><span class="lineno"> 1687</span>&#160;      source.append(<span class="stringliteral">&quot;                      __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l01688"></a><span class="lineno"> 1688</span>&#160;      source.append(<span class="stringliteral">&quot;                      __local unsigned short *s_left_count, __local unsigned short *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01689"></a><span class="lineno"> 1689</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global unsigned int *g_blocks_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01690"></a><span class="lineno"> 1690</span>&#160;      source.append(<span class="stringliteral">&quot;                      __global unsigned int *g_blocks_mult_sum,  \n&quot;</span>);</div>
<div class="line"><a name="l01691"></a><span class="lineno"> 1691</span>&#160;      source.append(<span class="stringliteral">&quot;                      __local unsigned short *s_compaction_list,  \n&quot;</span>);</div>
<div class="line"><a name="l01692"></a><span class="lineno"> 1692</span>&#160;      source.append(<span class="stringliteral">&quot;                      __local unsigned short *s_cl_helper,  \n&quot;</span>);</div>
<div class="line"><a name="l01693"></a><span class="lineno"> 1693</span>&#160;      source.append(<span class="stringliteral">&quot;                      unsigned int offset_mult_lambda  \n&quot;</span>);</div>
<div class="line"><a name="l01694"></a><span class="lineno"> 1694</span>&#160;      source.append(<span class="stringliteral">&quot;                     )  \n&quot;</span>);</div>
<div class="line"><a name="l01695"></a><span class="lineno"> 1695</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01696"></a><span class="lineno"> 1696</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01697"></a><span class="lineno"> 1697</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01698"></a><span class="lineno"> 1698</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01699"></a><span class="lineno"> 1699</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01700"></a><span class="lineno"> 1700</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01701"></a><span class="lineno"> 1701</span>&#160;</div>
<div class="line"><a name="l01702"></a><span class="lineno"> 1702</span>&#160;</div>
<div class="line"><a name="l01703"></a><span class="lineno"> 1703</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid &lt; offset_mult_lambda)  \n&quot;</span>);</div>
<div class="line"><a name="l01704"></a><span class="lineno"> 1704</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01705"></a><span class="lineno"> 1705</span>&#160;</div>
<div class="line"><a name="l01706"></a><span class="lineno"> 1706</span>&#160;      source.append(<span class="stringliteral">&quot;             g_left_one[tid] = s_left[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01707"></a><span class="lineno"> 1707</span>&#160;      source.append(<span class="stringliteral">&quot;             g_right_one[tid] = s_right[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01708"></a><span class="lineno"> 1708</span>&#160;              <span class="comment">// right count can be used to order eigenvalues without sorting</span></div>
<div class="line"><a name="l01709"></a><span class="lineno"> 1709</span>&#160;      source.append(<span class="stringliteral">&quot;             g_pos_one[tid] = s_right_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01710"></a><span class="lineno"> 1710</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01711"></a><span class="lineno"> 1711</span>&#160;      source.append(<span class="stringliteral">&quot;         else  \n&quot;</span>);</div>
<div class="line"><a name="l01712"></a><span class="lineno"> 1712</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01713"></a><span class="lineno"> 1713</span>&#160;</div>
<div class="line"><a name="l01714"></a><span class="lineno"> 1714</span>&#160;      source.append(<span class="stringliteral">&quot;               \n&quot;</span>);</div>
<div class="line"><a name="l01715"></a><span class="lineno"> 1715</span>&#160;      source.append(<span class="stringliteral">&quot;             g_left_mult[tid - offset_mult_lambda] = s_left[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01716"></a><span class="lineno"> 1716</span>&#160;      source.append(<span class="stringliteral">&quot;             g_right_mult[tid - offset_mult_lambda] = s_right[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01717"></a><span class="lineno"> 1717</span>&#160;      source.append(<span class="stringliteral">&quot;             g_left_count_mult[tid - offset_mult_lambda] = s_left_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01718"></a><span class="lineno"> 1718</span>&#160;      source.append(<span class="stringliteral">&quot;             g_right_count_mult[tid - offset_mult_lambda] = s_right_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01719"></a><span class="lineno"> 1719</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01720"></a><span class="lineno"> 1720</span>&#160;</div>
<div class="line"><a name="l01721"></a><span class="lineno"> 1721</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01722"></a><span class="lineno"> 1722</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01723"></a><span class="lineno"> 1723</span>&#160;</div>
<div class="line"><a name="l01724"></a><span class="lineno"> 1724</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid_2 &lt; offset_mult_lambda)  \n&quot;</span>);</div>
<div class="line"><a name="l01725"></a><span class="lineno"> 1725</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01726"></a><span class="lineno"> 1726</span>&#160;</div>
<div class="line"><a name="l01727"></a><span class="lineno"> 1727</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_left_one[tid_2] = s_left[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01728"></a><span class="lineno"> 1728</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_right_one[tid_2] = s_right[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01729"></a><span class="lineno"> 1729</span>&#160;                  <span class="comment">// right count can be used to order eigenvalues without sorting</span></div>
<div class="line"><a name="l01730"></a><span class="lineno"> 1730</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_pos_one[tid_2] = s_right_count[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01731"></a><span class="lineno"> 1731</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01732"></a><span class="lineno"> 1732</span>&#160;      source.append(<span class="stringliteral">&quot;             else  \n&quot;</span>);</div>
<div class="line"><a name="l01733"></a><span class="lineno"> 1733</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01734"></a><span class="lineno"> 1734</span>&#160;</div>
<div class="line"><a name="l01735"></a><span class="lineno"> 1735</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_left_mult[tid_2 - offset_mult_lambda] = s_left[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01736"></a><span class="lineno"> 1736</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_right_mult[tid_2 - offset_mult_lambda] = s_right[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01737"></a><span class="lineno"> 1737</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_left_count_mult[tid_2 - offset_mult_lambda] = s_left_count[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01738"></a><span class="lineno"> 1738</span>&#160;      source.append(<span class="stringliteral">&quot;                 g_right_count_mult[tid_2 - offset_mult_lambda] = s_right_count[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01739"></a><span class="lineno"> 1739</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01740"></a><span class="lineno"> 1740</span>&#160;</div>
<div class="line"><a name="l01741"></a><span class="lineno"> 1741</span>&#160;      source.append(<span class="stringliteral">&quot;    } \n&quot;</span>);      <span class="comment">// end writing out data</span></div>
<div class="line"><a name="l01742"></a><span class="lineno"> 1742</span>&#160;</div>
<div class="line"><a name="l01743"></a><span class="lineno"> 1743</span>&#160;          source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01744"></a><span class="lineno"> 1744</span>&#160;</div>
<div class="line"><a name="l01745"></a><span class="lineno"> 1745</span>&#160;          <span class="comment">// note that s_cl_blocking = s_compaction_list + 1;, that is by writing out</span></div>
<div class="line"><a name="l01746"></a><span class="lineno"> 1746</span>&#160;          <span class="comment">// s_compaction_list we write the exclusive scan result</span></div>
<div class="line"><a name="l01747"></a><span class="lineno"> 1747</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid &lt;= num_blocks_mult)  \n&quot;</span>);</div>
<div class="line"><a name="l01748"></a><span class="lineno"> 1748</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01749"></a><span class="lineno"> 1749</span>&#160;      source.append(<span class="stringliteral">&quot;             g_blocks_mult[tid] = s_compaction_list[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01750"></a><span class="lineno"> 1750</span>&#160;      source.append(<span class="stringliteral">&quot;             g_blocks_mult_sum[tid] = s_cl_helper[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01751"></a><span class="lineno"> 1751</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01752"></a><span class="lineno"> 1752</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt;= num_blocks_mult)  \n&quot;</span>);</div>
<div class="line"><a name="l01753"></a><span class="lineno"> 1753</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01754"></a><span class="lineno"> 1754</span>&#160;      source.append(<span class="stringliteral">&quot;             g_blocks_mult[tid_2] = s_compaction_list[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01755"></a><span class="lineno"> 1755</span>&#160;      source.append(<span class="stringliteral">&quot;             g_blocks_mult_sum[tid_2] = s_cl_helper[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01756"></a><span class="lineno"> 1756</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01757"></a><span class="lineno"> 1757</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01758"></a><span class="lineno"> 1758</span>&#160;  }</div>
<div class="line"><a name="l01759"></a><span class="lineno"> 1759</span>&#160;</div>
<div class="line"><a name="l01761"></a><span class="lineno"> 1761</span>&#160;  <span class="comment">// Perform final stream compaction before writing data to global memory</span></div>
<div class="line"><a name="l01763"></a><span class="lineno"> 1763</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l01764"></a><span class="lineno"> 1764</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01765"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a54eb8a1e8a9e0077bd6b5108a62c5d19"> 1765</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a54eb8a1e8a9e0077bd6b5108a62c5d19">generate_bisect_kernel_compactStreamsFinal</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l01766"></a><span class="lineno"> 1766</span>&#160;  {</div>
<div class="line"><a name="l01767"></a><span class="lineno"> 1767</span>&#160;      source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l01768"></a><span class="lineno"> 1768</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01769"></a><span class="lineno"> 1769</span>&#160;      source.append(<span class="stringliteral">&quot;     compactStreamsFinal(const unsigned int tid, const unsigned int tid_2,  \n&quot;</span>);</div>
<div class="line"><a name="l01770"></a><span class="lineno"> 1770</span>&#160;      source.append(<span class="stringliteral">&quot;                         const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01771"></a><span class="lineno"> 1771</span>&#160;      source.append(<span class="stringliteral">&quot;                         __local unsigned int *offset_mult_lambda,  \n&quot;</span>);</div>
<div class="line"><a name="l01772"></a><span class="lineno"> 1772</span>&#160;      source.append(<span class="stringliteral">&quot;                         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_left,    \n&quot;</span>);</div>
<div class="line"><a name="l01773"></a><span class="lineno"> 1773</span>&#160;      source.append(<span class="stringliteral">&quot;                         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *s_right,   \n&quot;</span>);</div>
<div class="line"><a name="l01774"></a><span class="lineno"> 1774</span>&#160;      source.append(<span class="stringliteral">&quot;                         __local unsigned short *s_left_count,   __local unsigned short *s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01775"></a><span class="lineno"> 1775</span>&#160;      source.append(<span class="stringliteral">&quot;                         __local unsigned short *s_cl_one,       __local unsigned short *s_cl_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l01776"></a><span class="lineno"> 1776</span>&#160;      source.append(<span class="stringliteral">&quot;                         __local unsigned short *s_cl_blocking,  __local unsigned short *s_cl_helper,  \n&quot;</span>);</div>
<div class="line"><a name="l01777"></a><span class="lineno"> 1777</span>&#160;      source.append(<span class="stringliteral">&quot;                         unsigned int is_one_lambda, unsigned int is_one_lambda_2,  \n&quot;</span>);</div>
<div class="line"><a name="l01778"></a><span class="lineno"> 1778</span>&#160;      source.append(<span class="stringliteral">&quot;                         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *left,    \n&quot;</span>);</div>
<div class="line"><a name="l01779"></a><span class="lineno"> 1779</span>&#160;      source.append(<span class="stringliteral">&quot;                         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *right,    \n&quot;</span>);</div>
<div class="line"><a name="l01780"></a><span class="lineno"> 1780</span>&#160;      source.append(<span class="stringliteral">&quot;                         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *left_2,    \n&quot;</span>);</div>
<div class="line"><a name="l01781"></a><span class="lineno"> 1781</span>&#160;      source.append(<span class="stringliteral">&quot;                         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *right_2,    \n&quot;</span>);</div>
<div class="line"><a name="l01782"></a><span class="lineno"> 1782</span>&#160;      source.append(<span class="stringliteral">&quot;                         unsigned int *left_count, unsigned int *right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l01783"></a><span class="lineno"> 1783</span>&#160;      source.append(<span class="stringliteral">&quot;                         unsigned int *left_count_2, unsigned int *right_count_2,  \n&quot;</span>);</div>
<div class="line"><a name="l01784"></a><span class="lineno"> 1784</span>&#160;      source.append(<span class="stringliteral">&quot;                         unsigned int c_block_iend, unsigned int c_sum_block,  \n&quot;</span>);</div>
<div class="line"><a name="l01785"></a><span class="lineno"> 1785</span>&#160;      source.append(<span class="stringliteral">&quot;                         unsigned int c_block_iend_2, unsigned int c_sum_block_2  \n&quot;</span>);</div>
<div class="line"><a name="l01786"></a><span class="lineno"> 1786</span>&#160;      source.append(<span class="stringliteral">&quot;                        )  \n&quot;</span>);</div>
<div class="line"><a name="l01787"></a><span class="lineno"> 1787</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01788"></a><span class="lineno"> 1788</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01789"></a><span class="lineno"> 1789</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01790"></a><span class="lineno"> 1790</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01791"></a><span class="lineno"> 1791</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01792"></a><span class="lineno"> 1792</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01793"></a><span class="lineno"> 1793</span>&#160;</div>
<div class="line"><a name="l01794"></a><span class="lineno"> 1794</span>&#160;          <span class="comment">// cache data before performing compaction</span></div>
<div class="line"><a name="l01795"></a><span class="lineno"> 1795</span>&#160;      source.append(<span class="stringliteral">&quot;         *left = s_left[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01796"></a><span class="lineno"> 1796</span>&#160;      source.append(<span class="stringliteral">&quot;         *right = s_right[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01797"></a><span class="lineno"> 1797</span>&#160;</div>
<div class="line"><a name="l01798"></a><span class="lineno"> 1798</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01799"></a><span class="lineno"> 1799</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01800"></a><span class="lineno"> 1800</span>&#160;      source.append(<span class="stringliteral">&quot;             *left_2 = s_left[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01801"></a><span class="lineno"> 1801</span>&#160;      source.append(<span class="stringliteral">&quot;             *right_2 = s_right[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01802"></a><span class="lineno"> 1802</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01803"></a><span class="lineno"> 1803</span>&#160;</div>
<div class="line"><a name="l01804"></a><span class="lineno"> 1804</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01805"></a><span class="lineno"> 1805</span>&#160;</div>
<div class="line"><a name="l01806"></a><span class="lineno"> 1806</span>&#160;          <span class="comment">// determine addresses for intervals containing multiple eigenvalues and</span></div>
<div class="line"><a name="l01807"></a><span class="lineno"> 1807</span>&#160;          <span class="comment">// addresses for blocks of intervals</span></div>
<div class="line"><a name="l01808"></a><span class="lineno"> 1808</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int ptr_w = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01809"></a><span class="lineno"> 1809</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int ptr_w_2 = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01810"></a><span class="lineno"> 1810</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int ptr_blocking_w = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01811"></a><span class="lineno"> 1811</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int ptr_blocking_w_2 = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l01812"></a><span class="lineno"> 1812</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01813"></a><span class="lineno"> 1813</span>&#160;      source.append(<span class="stringliteral">&quot;          \n&quot;</span>);</div>
<div class="line"><a name="l01814"></a><span class="lineno"> 1814</span>&#160;</div>
<div class="line"><a name="l01815"></a><span class="lineno"> 1815</span>&#160;      source.append(<span class="stringliteral">&quot;         ptr_w = (1 == is_one_lambda) ? s_cl_one[tid]  \n&quot;</span>);</div>
<div class="line"><a name="l01816"></a><span class="lineno"> 1816</span>&#160;      source.append(<span class="stringliteral">&quot;                 : s_cl_mult[tid] + *offset_mult_lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l01817"></a><span class="lineno"> 1817</span>&#160;</div>
<div class="line"><a name="l01818"></a><span class="lineno"> 1818</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 != c_block_iend)  \n&quot;</span>);</div>
<div class="line"><a name="l01819"></a><span class="lineno"> 1819</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01820"></a><span class="lineno"> 1820</span>&#160;      source.append(<span class="stringliteral">&quot;             ptr_blocking_w = s_cl_blocking[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01821"></a><span class="lineno"> 1821</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01822"></a><span class="lineno"> 1822</span>&#160;</div>
<div class="line"><a name="l01823"></a><span class="lineno"> 1823</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01824"></a><span class="lineno"> 1824</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01825"></a><span class="lineno"> 1825</span>&#160;      source.append(<span class="stringliteral">&quot;             ptr_w_2 = (1 == is_one_lambda_2) ? s_cl_one[tid_2]  \n&quot;</span>);</div>
<div class="line"><a name="l01826"></a><span class="lineno"> 1826</span>&#160;      source.append(<span class="stringliteral">&quot;                       : s_cl_mult[tid_2] + *offset_mult_lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l01827"></a><span class="lineno"> 1827</span>&#160;</div>
<div class="line"><a name="l01828"></a><span class="lineno"> 1828</span>&#160;      source.append(<span class="stringliteral">&quot;             if (0 != c_block_iend_2)  \n&quot;</span>);</div>
<div class="line"><a name="l01829"></a><span class="lineno"> 1829</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01830"></a><span class="lineno"> 1830</span>&#160;      source.append(<span class="stringliteral">&quot;                 ptr_blocking_w_2 = s_cl_blocking[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01831"></a><span class="lineno"> 1831</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01832"></a><span class="lineno"> 1832</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01833"></a><span class="lineno"> 1833</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01834"></a><span class="lineno"> 1834</span>&#160;      source.append(<span class="stringliteral">&quot;          \n&quot;</span>);</div>
<div class="line"><a name="l01835"></a><span class="lineno"> 1835</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01836"></a><span class="lineno"> 1836</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01837"></a><span class="lineno"> 1837</span>&#160;          <span class="comment">// store compactly in shared mem</span></div>
<div class="line"><a name="l01838"></a><span class="lineno"> 1838</span>&#160;      source.append(<span class="stringliteral">&quot;           if(tid &lt; num_threads_active) \n&quot;</span>);</div>
<div class="line"><a name="l01839"></a><span class="lineno"> 1839</span>&#160;      source.append(<span class="stringliteral">&quot;           { \n &quot;</span>);</div>
<div class="line"><a name="l01840"></a><span class="lineno"> 1840</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left[ptr_w] = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l01841"></a><span class="lineno"> 1841</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right[ptr_w] = *right;  \n&quot;</span>);</div>
<div class="line"><a name="l01842"></a><span class="lineno"> 1842</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left_count[ptr_w] = *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01843"></a><span class="lineno"> 1843</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right_count[ptr_w] = *right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01844"></a><span class="lineno"> 1844</span>&#160;      source.append(<span class="stringliteral">&quot;           } \n &quot;</span>);</div>
<div class="line"><a name="l01845"></a><span class="lineno"> 1845</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01846"></a><span class="lineno"> 1846</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01847"></a><span class="lineno"> 1847</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01848"></a><span class="lineno"> 1848</span>&#160;      source.append(<span class="stringliteral">&quot;         if(tid == 1)  \n&quot;</span>);</div>
<div class="line"><a name="l01849"></a><span class="lineno"> 1849</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01850"></a><span class="lineno"> 1850</span>&#160;      source.append(<span class="stringliteral">&quot;           s_left[ptr_w] = *left;  \n&quot;</span>);</div>
<div class="line"><a name="l01851"></a><span class="lineno"> 1851</span>&#160;      source.append(<span class="stringliteral">&quot;           s_right[ptr_w] = *right;  \n&quot;</span>);</div>
<div class="line"><a name="l01852"></a><span class="lineno"> 1852</span>&#160;      source.append(<span class="stringliteral">&quot;           s_left_count[ptr_w] = *left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01853"></a><span class="lineno"> 1853</span>&#160;      source.append(<span class="stringliteral">&quot;           s_right_count[ptr_w] = *right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l01854"></a><span class="lineno"> 1854</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01855"></a><span class="lineno"> 1855</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01856"></a><span class="lineno"> 1856</span>&#160;      source.append(<span class="stringliteral">&quot;               if (0 != c_block_iend)  \n&quot;</span>);</div>
<div class="line"><a name="l01857"></a><span class="lineno"> 1857</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01858"></a><span class="lineno"> 1858</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_blocking[ptr_blocking_w + 1] = c_block_iend - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01859"></a><span class="lineno"> 1859</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_helper[ptr_blocking_w + 1] = c_sum_block;  \n&quot;</span>);</div>
<div class="line"><a name="l01860"></a><span class="lineno"> 1860</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01861"></a><span class="lineno"> 1861</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l01862"></a><span class="lineno"> 1862</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l01863"></a><span class="lineno"> 1863</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01864"></a><span class="lineno"> 1864</span>&#160;              <span class="comment">// store compactly in shared mem</span></div>
<div class="line"><a name="l01865"></a><span class="lineno"> 1865</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left[ptr_w_2] = *left_2;  \n&quot;</span>);</div>
<div class="line"><a name="l01866"></a><span class="lineno"> 1866</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right[ptr_w_2] = *right_2;  \n&quot;</span>);</div>
<div class="line"><a name="l01867"></a><span class="lineno"> 1867</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left_count[ptr_w_2] = *left_count_2;  \n&quot;</span>);</div>
<div class="line"><a name="l01868"></a><span class="lineno"> 1868</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right_count[ptr_w_2] = *right_count_2;  \n&quot;</span>);</div>
<div class="line"><a name="l01869"></a><span class="lineno"> 1869</span>&#160;</div>
<div class="line"><a name="l01870"></a><span class="lineno"> 1870</span>&#160;      source.append(<span class="stringliteral">&quot;             if (0 != c_block_iend_2)  \n&quot;</span>);</div>
<div class="line"><a name="l01871"></a><span class="lineno"> 1871</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01872"></a><span class="lineno"> 1872</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_blocking[ptr_blocking_w_2 + 1] = c_block_iend_2 - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01873"></a><span class="lineno"> 1873</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_helper[ptr_blocking_w_2 + 1] = c_sum_block_2;  \n&quot;</span>);</div>
<div class="line"><a name="l01874"></a><span class="lineno"> 1874</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01875"></a><span class="lineno"> 1875</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01876"></a><span class="lineno"> 1876</span>&#160;</div>
<div class="line"><a name="l01877"></a><span class="lineno"> 1877</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01878"></a><span class="lineno"> 1878</span>&#160;  }</div>
<div class="line"><a name="l01879"></a><span class="lineno"> 1879</span>&#160;</div>
<div class="line"><a name="l01880"></a><span class="lineno"> 1880</span>&#160;</div>
<div class="line"><a name="l01881"></a><span class="lineno"> 1881</span>&#160;</div>
<div class="line"><a name="l01883"></a><span class="lineno"> 1883</span>&#160;  <span class="comment">// Compute addresses to obtain compact list of block start addresses</span></div>
<div class="line"><a name="l01885"></a><span class="lineno"> 1885</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l01886"></a><span class="lineno"> 1886</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01887"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a26f080eb7ea68f015e49a438fc379234"> 1887</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a26f080eb7ea68f015e49a438fc379234">generate_bisect_kernel_scanCompactBlocksStartAddress</a>(StringType &amp; source)</div>
<div class="line"><a name="l01888"></a><span class="lineno"> 1888</span>&#160;  {</div>
<div class="line"><a name="l01889"></a><span class="lineno"> 1889</span>&#160;      source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l01890"></a><span class="lineno"> 1890</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01891"></a><span class="lineno"> 1891</span>&#160;      source.append(<span class="stringliteral">&quot;     scanCompactBlocksStartAddress(const unsigned int tid, const unsigned int tid_2,  \n&quot;</span>);</div>
<div class="line"><a name="l01892"></a><span class="lineno"> 1892</span>&#160;      source.append(<span class="stringliteral">&quot;                                   const unsigned int num_threads_compaction,  \n&quot;</span>);</div>
<div class="line"><a name="l01893"></a><span class="lineno"> 1893</span>&#160;      source.append(<span class="stringliteral">&quot;                                   __local unsigned short *s_cl_blocking,  \n&quot;</span>);</div>
<div class="line"><a name="l01894"></a><span class="lineno"> 1894</span>&#160;      source.append(<span class="stringliteral">&quot;                                   __local unsigned short *s_cl_helper  \n&quot;</span>);</div>
<div class="line"><a name="l01895"></a><span class="lineno"> 1895</span>&#160;      source.append(<span class="stringliteral">&quot;                                  )  \n&quot;</span>);</div>
<div class="line"><a name="l01896"></a><span class="lineno"> 1896</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01897"></a><span class="lineno"> 1897</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01898"></a><span class="lineno"> 1898</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01899"></a><span class="lineno"> 1899</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01900"></a><span class="lineno"> 1900</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01901"></a><span class="lineno"> 1901</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01902"></a><span class="lineno"> 1902</span>&#160;</div>
<div class="line"><a name="l01903"></a><span class="lineno"> 1903</span>&#160;          <span class="comment">// prepare for second step of block generation: compaction of the block</span></div>
<div class="line"><a name="l01904"></a><span class="lineno"> 1904</span>&#160;          <span class="comment">// list itself to efficiently write out these</span></div>
<div class="line"><a name="l01905"></a><span class="lineno"> 1905</span>&#160;      source.append(<span class="stringliteral">&quot;         s_cl_blocking[tid] = s_cl_helper[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l01906"></a><span class="lineno"> 1906</span>&#160;</div>
<div class="line"><a name="l01907"></a><span class="lineno"> 1907</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_compaction)  \n&quot;</span>);</div>
<div class="line"><a name="l01908"></a><span class="lineno"> 1908</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01909"></a><span class="lineno"> 1909</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_blocking[tid_2] = s_cl_helper[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l01910"></a><span class="lineno"> 1910</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01911"></a><span class="lineno"> 1911</span>&#160;</div>
<div class="line"><a name="l01912"></a><span class="lineno"> 1912</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01913"></a><span class="lineno"> 1913</span>&#160;</div>
<div class="line"><a name="l01914"></a><span class="lineno"> 1914</span>&#160;          <span class="comment">// additional scan to compact s_cl_blocking that permits to generate a</span></div>
<div class="line"><a name="l01915"></a><span class="lineno"> 1915</span>&#160;          <span class="comment">// compact list of eigenvalue blocks each one containing about</span></div>
<div class="line"><a name="l01916"></a><span class="lineno"> 1916</span>&#160;          <span class="comment">// VIENNACL_BISECT_MAX_THREADS_BLOCK eigenvalues (so that each of these blocks may be</span></div>
<div class="line"><a name="l01917"></a><span class="lineno"> 1917</span>&#160;          <span class="comment">// processed by one thread block in a subsequent processing step</span></div>
<div class="line"><a name="l01918"></a><span class="lineno"> 1918</span>&#160;</div>
<div class="line"><a name="l01919"></a><span class="lineno"> 1919</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int offset = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01920"></a><span class="lineno"> 1920</span>&#160;</div>
<div class="line"><a name="l01921"></a><span class="lineno"> 1921</span>&#160;          <span class="comment">// build scan tree</span></div>
<div class="line"><a name="l01922"></a><span class="lineno"> 1922</span>&#160;      source.append(<span class="stringliteral">&quot;         for (int d = (num_threads_compaction &gt;&gt; 1); d &gt; 0; d &gt;&gt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l01923"></a><span class="lineno"> 1923</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01924"></a><span class="lineno"> 1924</span>&#160;</div>
<div class="line"><a name="l01925"></a><span class="lineno"> 1925</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01926"></a><span class="lineno"> 1926</span>&#160;</div>
<div class="line"><a name="l01927"></a><span class="lineno"> 1927</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; d)  \n&quot;</span>);</div>
<div class="line"><a name="l01928"></a><span class="lineno"> 1928</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01929"></a><span class="lineno"> 1929</span>&#160;</div>
<div class="line"><a name="l01930"></a><span class="lineno"> 1930</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(2*tid+1)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l01931"></a><span class="lineno"> 1931</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  bi = offset*(2*tid+2)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l01932"></a><span class="lineno"> 1932</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_blocking[bi] = s_cl_blocking[bi] + s_cl_blocking[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l01933"></a><span class="lineno"> 1933</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01934"></a><span class="lineno"> 1934</span>&#160;</div>
<div class="line"><a name="l01935"></a><span class="lineno"> 1935</span>&#160;      source.append(<span class="stringliteral">&quot;             offset &lt;&lt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01936"></a><span class="lineno"> 1936</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01937"></a><span class="lineno"> 1937</span>&#160;</div>
<div class="line"><a name="l01938"></a><span class="lineno"> 1938</span>&#160;          <span class="comment">// traverse down tree: first down to level 2 across</span></div>
<div class="line"><a name="l01939"></a><span class="lineno"> 1939</span>&#160;      source.append(<span class="stringliteral">&quot;         for (int d = 2; d &lt; num_threads_compaction; d &lt;&lt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l01940"></a><span class="lineno"> 1940</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01941"></a><span class="lineno"> 1941</span>&#160;</div>
<div class="line"><a name="l01942"></a><span class="lineno"> 1942</span>&#160;      source.append(<span class="stringliteral">&quot;             offset &gt;&gt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01943"></a><span class="lineno"> 1943</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01944"></a><span class="lineno"> 1944</span>&#160;</div>
<div class="line"><a name="l01945"></a><span class="lineno"> 1945</span>&#160;              <span class="comment">//</span></div>
<div class="line"><a name="l01946"></a><span class="lineno"> 1946</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; (d-1))  \n&quot;</span>);</div>
<div class="line"><a name="l01947"></a><span class="lineno"> 1947</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01948"></a><span class="lineno"> 1948</span>&#160;</div>
<div class="line"><a name="l01949"></a><span class="lineno"> 1949</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(tid+1) - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01950"></a><span class="lineno"> 1950</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  bi = ai + (offset &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l01951"></a><span class="lineno"> 1951</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_blocking[bi] = s_cl_blocking[bi] + s_cl_blocking[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l01952"></a><span class="lineno"> 1952</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01953"></a><span class="lineno"> 1953</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l01954"></a><span class="lineno"> 1954</span>&#160;</div>
<div class="line"><a name="l01955"></a><span class="lineno"> 1955</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l01956"></a><span class="lineno"> 1956</span>&#160;</div>
<div class="line"><a name="l01957"></a><span class="lineno"> 1957</span>&#160;</div>
<div class="line"><a name="l01958"></a><span class="lineno"> 1958</span>&#160;  }</div>
<div class="line"><a name="l01959"></a><span class="lineno"> 1959</span>&#160;</div>
<div class="line"><a name="l01960"></a><span class="lineno"> 1960</span>&#160;</div>
<div class="line"><a name="l01962"></a><span class="lineno"> 1962</span>&#160;  <span class="comment">// Perform scan to obtain number of eigenvalues before a specific block</span></div>
<div class="line"><a name="l01964"></a><span class="lineno"> 1964</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l01965"></a><span class="lineno"> 1965</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l01966"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ab8b686504d2dc5d3936226fe6ab4e3f4"> 1966</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ab8b686504d2dc5d3936226fe6ab4e3f4">generate_bisect_kernel_scanSumBlocks</a>(StringType &amp; source)</div>
<div class="line"><a name="l01967"></a><span class="lineno"> 1967</span>&#160;  {</div>
<div class="line"><a name="l01968"></a><span class="lineno"> 1968</span>&#160;      source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l01969"></a><span class="lineno"> 1969</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l01970"></a><span class="lineno"> 1970</span>&#160;      source.append(<span class="stringliteral">&quot;     scanSumBlocks(const unsigned int tid, const unsigned int tid_2,  \n&quot;</span>);</div>
<div class="line"><a name="l01971"></a><span class="lineno"> 1971</span>&#160;      source.append(<span class="stringliteral">&quot;                   const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l01972"></a><span class="lineno"> 1972</span>&#160;      source.append(<span class="stringliteral">&quot;                   const unsigned int num_threads_compaction,  \n&quot;</span>);</div>
<div class="line"><a name="l01973"></a><span class="lineno"> 1973</span>&#160;      source.append(<span class="stringliteral">&quot;                   __local unsigned short *s_cl_blocking,  \n&quot;</span>);</div>
<div class="line"><a name="l01974"></a><span class="lineno"> 1974</span>&#160;      source.append(<span class="stringliteral">&quot;                   __local unsigned short *s_cl_helper)  \n&quot;</span>);</div>
<div class="line"><a name="l01975"></a><span class="lineno"> 1975</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l01976"></a><span class="lineno"> 1976</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01977"></a><span class="lineno"> 1977</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01978"></a><span class="lineno"> 1978</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l01979"></a><span class="lineno"> 1979</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l01980"></a><span class="lineno"> 1980</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l01981"></a><span class="lineno"> 1981</span>&#160;</div>
<div class="line"><a name="l01982"></a><span class="lineno"> 1982</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int offset = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l01983"></a><span class="lineno"> 1983</span>&#160;</div>
<div class="line"><a name="l01984"></a><span class="lineno"> 1984</span>&#160;          <span class="comment">// first step of scan to build the sum of elements within each block</span></div>
<div class="line"><a name="l01985"></a><span class="lineno"> 1985</span>&#160;          <span class="comment">// build up tree</span></div>
<div class="line"><a name="l01986"></a><span class="lineno"> 1986</span>&#160;      source.append(<span class="stringliteral">&quot;         for (int d = num_threads_compaction &gt;&gt; 1; d &gt; 0; d &gt;&gt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l01987"></a><span class="lineno"> 1987</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l01988"></a><span class="lineno"> 1988</span>&#160;</div>
<div class="line"><a name="l01989"></a><span class="lineno"> 1989</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l01990"></a><span class="lineno"> 1990</span>&#160;</div>
<div class="line"><a name="l01991"></a><span class="lineno"> 1991</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; d)  \n&quot;</span>);</div>
<div class="line"><a name="l01992"></a><span class="lineno"> 1992</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l01993"></a><span class="lineno"> 1993</span>&#160;</div>
<div class="line"><a name="l01994"></a><span class="lineno"> 1994</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int ai = offset*(2*tid+1)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l01995"></a><span class="lineno"> 1995</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int bi = offset*(2*tid+2)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l01996"></a><span class="lineno"> 1996</span>&#160;</div>
<div class="line"><a name="l01997"></a><span class="lineno"> 1997</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_blocking[bi] += s_cl_blocking[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l01998"></a><span class="lineno"> 1998</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l01999"></a><span class="lineno"> 1999</span>&#160;</div>
<div class="line"><a name="l02000"></a><span class="lineno"> 2000</span>&#160;      source.append(<span class="stringliteral">&quot;             offset *= 2;  \n&quot;</span>);</div>
<div class="line"><a name="l02001"></a><span class="lineno"> 2001</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02002"></a><span class="lineno"> 2002</span>&#160;</div>
<div class="line"><a name="l02003"></a><span class="lineno"> 2003</span>&#160;          <span class="comment">// first step of scan to build the sum of elements within each block</span></div>
<div class="line"><a name="l02004"></a><span class="lineno"> 2004</span>&#160;          <span class="comment">// traverse down tree</span></div>
<div class="line"><a name="l02005"></a><span class="lineno"> 2005</span>&#160;      source.append(<span class="stringliteral">&quot;         for (int d = 2; d &lt; (num_threads_compaction - 1); d &lt;&lt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l02006"></a><span class="lineno"> 2006</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02007"></a><span class="lineno"> 2007</span>&#160;</div>
<div class="line"><a name="l02008"></a><span class="lineno"> 2008</span>&#160;      source.append(<span class="stringliteral">&quot;             offset &gt;&gt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02009"></a><span class="lineno"> 2009</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02010"></a><span class="lineno"> 2010</span>&#160;</div>
<div class="line"><a name="l02011"></a><span class="lineno"> 2011</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; (d-1))  \n&quot;</span>);</div>
<div class="line"><a name="l02012"></a><span class="lineno"> 2012</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02013"></a><span class="lineno"> 2013</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int ai = offset*(tid+1) - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02014"></a><span class="lineno"> 2014</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int bi = ai + (offset &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l02015"></a><span class="lineno"> 2015</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_blocking[bi] += s_cl_blocking[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l02016"></a><span class="lineno"> 2016</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02017"></a><span class="lineno"> 2017</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02018"></a><span class="lineno"> 2018</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02019"></a><span class="lineno"> 2019</span>&#160;</div>
<div class="line"><a name="l02020"></a><span class="lineno"> 2020</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l02021"></a><span class="lineno"> 2021</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02022"></a><span class="lineno"> 2022</span>&#160;</div>
<div class="line"><a name="l02023"></a><span class="lineno"> 2023</span>&#160;              <span class="comment">// move last element of scan to last element that is valid</span></div>
<div class="line"><a name="l02024"></a><span class="lineno"> 2024</span>&#160;              <span class="comment">// necessary because the number of threads employed for scan is a power</span></div>
<div class="line"><a name="l02025"></a><span class="lineno"> 2025</span>&#160;              <span class="comment">// of two and not necessarily the number of active threasd</span></div>
<div class="line"><a name="l02026"></a><span class="lineno"> 2026</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_helper[num_threads_active - 1] =  \n&quot;</span>);</div>
<div class="line"><a name="l02027"></a><span class="lineno"> 2027</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_helper[num_threads_compaction - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02028"></a><span class="lineno"> 2028</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_blocking[num_threads_active - 1] =  \n&quot;</span>);</div>
<div class="line"><a name="l02029"></a><span class="lineno"> 2029</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_blocking[num_threads_compaction - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02030"></a><span class="lineno"> 2030</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02031"></a><span class="lineno"> 2031</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l02032"></a><span class="lineno"> 2032</span>&#160;</div>
<div class="line"><a name="l02033"></a><span class="lineno"> 2033</span>&#160;</div>
<div class="line"><a name="l02034"></a><span class="lineno"> 2034</span>&#160;  }</div>
<div class="line"><a name="l02035"></a><span class="lineno"> 2035</span>&#160;</div>
<div class="line"><a name="l02037"></a><span class="lineno"> 2037</span>&#160;  <span class="comment">// Perform initial scan for compaction of intervals containing one and</span></div>
<div class="line"><a name="l02038"></a><span class="lineno"> 2038</span>&#160;  <span class="comment">// multiple eigenvalues; also do initial scan to build blocks</span></div>
<div class="line"><a name="l02040"></a><span class="lineno"> 2040</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l02041"></a><span class="lineno"> 2041</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l02042"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a49cc986d68fd621ccf5d358d8ebf3faf"> 2042</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a49cc986d68fd621ccf5d358d8ebf3faf">generate_bisect_kernel_scanInitial</a>(StringType &amp; source)</div>
<div class="line"><a name="l02043"></a><span class="lineno"> 2043</span>&#160;  {</div>
<div class="line"><a name="l02044"></a><span class="lineno"> 2044</span>&#160;      source.append(<span class="stringliteral">&quot;       \n&quot;</span>);</div>
<div class="line"><a name="l02045"></a><span class="lineno"> 2045</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l02046"></a><span class="lineno"> 2046</span>&#160;      source.append(<span class="stringliteral">&quot;     scanInitial(const unsigned int tid, const unsigned int tid_2, const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l02047"></a><span class="lineno"> 2047</span>&#160;      source.append(<span class="stringliteral">&quot;                 const unsigned int num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l02048"></a><span class="lineno"> 2048</span>&#160;      source.append(<span class="stringliteral">&quot;                 const unsigned int num_threads_compaction,  \n&quot;</span>);</div>
<div class="line"><a name="l02049"></a><span class="lineno"> 2049</span>&#160;      source.append(<span class="stringliteral">&quot;                 __local unsigned short *s_cl_one, __local unsigned short *s_cl_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02050"></a><span class="lineno"> 2050</span>&#160;      source.append(<span class="stringliteral">&quot;                 __local unsigned short *s_cl_blocking, __local unsigned short *s_cl_helper  \n&quot;</span>);</div>
<div class="line"><a name="l02051"></a><span class="lineno"> 2051</span>&#160;      source.append(<span class="stringliteral">&quot;                )  \n&quot;</span>);</div>
<div class="line"><a name="l02052"></a><span class="lineno"> 2052</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l02053"></a><span class="lineno"> 2053</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l02054"></a><span class="lineno"> 2054</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l02055"></a><span class="lineno"> 2055</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l02056"></a><span class="lineno"> 2056</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l02057"></a><span class="lineno"> 2057</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l02058"></a><span class="lineno"> 2058</span>&#160;</div>
<div class="line"><a name="l02059"></a><span class="lineno"> 2059</span>&#160;</div>
<div class="line"><a name="l02060"></a><span class="lineno"> 2060</span>&#160;          <span class="comment">// perform scan to compactly write out the intervals containing one and</span></div>
<div class="line"><a name="l02061"></a><span class="lineno"> 2061</span>&#160;          <span class="comment">// multiple eigenvalues</span></div>
<div class="line"><a name="l02062"></a><span class="lineno"> 2062</span>&#160;          <span class="comment">// also generate tree for blocking of intervals containing multiple</span></div>
<div class="line"><a name="l02063"></a><span class="lineno"> 2063</span>&#160;          <span class="comment">// eigenvalues</span></div>
<div class="line"><a name="l02064"></a><span class="lineno"> 2064</span>&#160;</div>
<div class="line"><a name="l02065"></a><span class="lineno"> 2065</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int offset = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02066"></a><span class="lineno"> 2066</span>&#160;</div>
<div class="line"><a name="l02067"></a><span class="lineno"> 2067</span>&#160;          <span class="comment">// build scan tree</span></div>
<div class="line"><a name="l02068"></a><span class="lineno"> 2068</span>&#160;      source.append(<span class="stringliteral">&quot;         for (int d = (num_threads_compaction &gt;&gt; 1); d &gt; 0; d &gt;&gt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l02069"></a><span class="lineno"> 2069</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02070"></a><span class="lineno"> 2070</span>&#160;</div>
<div class="line"><a name="l02071"></a><span class="lineno"> 2071</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02072"></a><span class="lineno"> 2072</span>&#160;</div>
<div class="line"><a name="l02073"></a><span class="lineno"> 2073</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; d)  \n&quot;</span>);</div>
<div class="line"><a name="l02074"></a><span class="lineno"> 2074</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02075"></a><span class="lineno"> 2075</span>&#160;</div>
<div class="line"><a name="l02076"></a><span class="lineno"> 2076</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(2*tid+1);  \n&quot;</span>);</div>
<div class="line"><a name="l02077"></a><span class="lineno"> 2077</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  bi = offset*(2*tid+2)-1;  \n&quot;</span>);</div>
<div class="line"><a name="l02078"></a><span class="lineno"> 2078</span>&#160;</div>
<div class="line"><a name="l02079"></a><span class="lineno"> 2079</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_one[bi] = s_cl_one[bi] + s_cl_one[ai - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02080"></a><span class="lineno"> 2080</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_mult[bi] = s_cl_mult[bi] + s_cl_mult[ai - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02081"></a><span class="lineno"> 2081</span>&#160;</div>
<div class="line"><a name="l02082"></a><span class="lineno"> 2082</span>&#160;                  <span class="comment">// s_cl_helper is binary and zero for an internal node and 1 for a</span></div>
<div class="line"><a name="l02083"></a><span class="lineno"> 2083</span>&#160;                  <span class="comment">// root node of a tree corresponding to a block</span></div>
<div class="line"><a name="l02084"></a><span class="lineno"> 2084</span>&#160;                  <span class="comment">// s_cl_blocking contains the number of nodes in each sub-tree at each</span></div>
<div class="line"><a name="l02085"></a><span class="lineno"> 2085</span>&#160;                  <span class="comment">// iteration, the data has to be kept to compute the total number of</span></div>
<div class="line"><a name="l02086"></a><span class="lineno"> 2086</span>&#160;                  <span class="comment">// eigenvalues per block that, in turn, is needed to efficiently</span></div>
<div class="line"><a name="l02087"></a><span class="lineno"> 2087</span>&#160;                  <span class="comment">// write out data in the second step</span></div>
<div class="line"><a name="l02088"></a><span class="lineno"> 2088</span>&#160;      source.append(<span class="stringliteral">&quot;                 if ((s_cl_helper[ai - 1] != 1) || (s_cl_helper[bi] != 1))  \n&quot;</span>);</div>
<div class="line"><a name="l02089"></a><span class="lineno"> 2089</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l02090"></a><span class="lineno"> 2090</span>&#160;</div>
<div class="line"><a name="l02091"></a><span class="lineno"> 2091</span>&#160;                      <span class="comment">// check how many childs are non terminated</span></div>
<div class="line"><a name="l02092"></a><span class="lineno"> 2092</span>&#160;      source.append(<span class="stringliteral">&quot;                     if (s_cl_helper[ai - 1] == 1)  \n&quot;</span>);</div>
<div class="line"><a name="l02093"></a><span class="lineno"> 2093</span>&#160;      source.append(<span class="stringliteral">&quot;                     {  \n&quot;</span>);</div>
<div class="line"><a name="l02094"></a><span class="lineno"> 2094</span>&#160;                          <span class="comment">// mark as terminated</span></div>
<div class="line"><a name="l02095"></a><span class="lineno"> 2095</span>&#160;      source.append(<span class="stringliteral">&quot;                         s_cl_helper[bi] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02096"></a><span class="lineno"> 2096</span>&#160;      source.append(<span class="stringliteral">&quot;                     }  \n&quot;</span>);</div>
<div class="line"><a name="l02097"></a><span class="lineno"> 2097</span>&#160;      source.append(<span class="stringliteral">&quot;                     else if (s_cl_helper[bi] == 1)  \n&quot;</span>);</div>
<div class="line"><a name="l02098"></a><span class="lineno"> 2098</span>&#160;      source.append(<span class="stringliteral">&quot;                     {  \n&quot;</span>);</div>
<div class="line"><a name="l02099"></a><span class="lineno"> 2099</span>&#160;                          <span class="comment">// mark as terminated</span></div>
<div class="line"><a name="l02100"></a><span class="lineno"> 2100</span>&#160;      source.append(<span class="stringliteral">&quot;                         s_cl_helper[ai - 1] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02101"></a><span class="lineno"> 2101</span>&#160;      source.append(<span class="stringliteral">&quot;                     }  \n&quot;</span>);</div>
<div class="line"><a name="l02102"></a><span class="lineno"> 2102</span>&#160;      source.append(<span class="stringliteral">&quot;               else      \n&quot;</span>);   <span class="comment">// both childs are non-terminated</span></div>
<div class="line"><a name="l02103"></a><span class="lineno"> 2103</span>&#160;      source.append(<span class="stringliteral">&quot;                     {  \n&quot;</span>);</div>
<div class="line"><a name="l02104"></a><span class="lineno"> 2104</span>&#160;</div>
<div class="line"><a name="l02105"></a><span class="lineno"> 2105</span>&#160;      source.append(<span class="stringliteral">&quot;                         unsigned int temp = s_cl_blocking[bi] + s_cl_blocking[ai - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02106"></a><span class="lineno"> 2106</span>&#160;</div>
<div class="line"><a name="l02107"></a><span class="lineno"> 2107</span>&#160;      source.append(<span class="stringliteral">&quot;                         if (temp &gt; (n &gt; 512 ? VIENNACL_BISECT_MAX_THREADS_BLOCK : VIENNACL_BISECT_MAX_THREADS_BLOCK / 2))  \n&quot;</span>);</div>
<div class="line"><a name="l02108"></a><span class="lineno"> 2108</span>&#160;      source.append(<span class="stringliteral">&quot;                         {  \n&quot;</span>);</div>
<div class="line"><a name="l02109"></a><span class="lineno"> 2109</span>&#160;</div>
<div class="line"><a name="l02110"></a><span class="lineno"> 2110</span>&#160;                              <span class="comment">// the two child trees have to form separate blocks, terminate trees</span></div>
<div class="line"><a name="l02111"></a><span class="lineno"> 2111</span>&#160;      source.append(<span class="stringliteral">&quot;                             s_cl_helper[ai - 1] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02112"></a><span class="lineno"> 2112</span>&#160;      source.append(<span class="stringliteral">&quot;                             s_cl_helper[bi] = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02113"></a><span class="lineno"> 2113</span>&#160;      source.append(<span class="stringliteral">&quot;                         }  \n&quot;</span>);</div>
<div class="line"><a name="l02114"></a><span class="lineno"> 2114</span>&#160;      source.append(<span class="stringliteral">&quot;                         else  \n&quot;</span>);</div>
<div class="line"><a name="l02115"></a><span class="lineno"> 2115</span>&#160;      source.append(<span class="stringliteral">&quot;                         {  \n&quot;</span>);</div>
<div class="line"><a name="l02116"></a><span class="lineno"> 2116</span>&#160;                              <span class="comment">// build up tree by joining subtrees</span></div>
<div class="line"><a name="l02117"></a><span class="lineno"> 2117</span>&#160;      source.append(<span class="stringliteral">&quot;                             s_cl_blocking[bi] = temp;  \n&quot;</span>);</div>
<div class="line"><a name="l02118"></a><span class="lineno"> 2118</span>&#160;      source.append(<span class="stringliteral">&quot;                             s_cl_blocking[ai - 1] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02119"></a><span class="lineno"> 2119</span>&#160;      source.append(<span class="stringliteral">&quot;                         }  \n&quot;</span>);</div>
<div class="line"><a name="l02120"></a><span class="lineno"> 2120</span>&#160;      source.append(<span class="stringliteral">&quot;                     }  \n&quot;</span>);</div>
<div class="line"><a name="l02121"></a><span class="lineno"> 2121</span>&#160;      source.append(<span class="stringliteral">&quot;            } \n&quot;</span>); <span class="comment">// end s_cl_helper update</span></div>
<div class="line"><a name="l02122"></a><span class="lineno"> 2122</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02123"></a><span class="lineno"> 2123</span>&#160;      source.append(<span class="stringliteral">&quot;             offset &lt;&lt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02124"></a><span class="lineno"> 2124</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02125"></a><span class="lineno"> 2125</span>&#160;</div>
<div class="line"><a name="l02126"></a><span class="lineno"> 2126</span>&#160;</div>
<div class="line"><a name="l02127"></a><span class="lineno"> 2127</span>&#160;          <span class="comment">// traverse down tree, this only for stream compaction, not for block</span></div>
<div class="line"><a name="l02128"></a><span class="lineno"> 2128</span>&#160;          <span class="comment">// construction</span></div>
<div class="line"><a name="l02129"></a><span class="lineno"> 2129</span>&#160;      source.append(<span class="stringliteral">&quot;         for (int d = 2; d &lt; num_threads_compaction; d &lt;&lt;= 1)  \n&quot;</span>);</div>
<div class="line"><a name="l02130"></a><span class="lineno"> 2130</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02131"></a><span class="lineno"> 2131</span>&#160;      source.append(<span class="stringliteral">&quot;             offset &gt;&gt;= 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02132"></a><span class="lineno"> 2132</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02133"></a><span class="lineno"> 2133</span>&#160;              <span class="comment">//</span></div>
<div class="line"><a name="l02134"></a><span class="lineno"> 2134</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; (d-1))  \n&quot;</span>);</div>
<div class="line"><a name="l02135"></a><span class="lineno"> 2135</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02136"></a><span class="lineno"> 2136</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  ai = offset*(tid+1) - 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02137"></a><span class="lineno"> 2137</span>&#160;      source.append(<span class="stringliteral">&quot;                 unsigned int  bi = ai + (offset &gt;&gt; 1);  \n&quot;</span>);</div>
<div class="line"><a name="l02138"></a><span class="lineno"> 2138</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_one[bi] = s_cl_one[bi] + s_cl_one[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l02139"></a><span class="lineno"> 2139</span>&#160;      source.append(<span class="stringliteral">&quot;                 s_cl_mult[bi] = s_cl_mult[bi] + s_cl_mult[ai];  \n&quot;</span>);</div>
<div class="line"><a name="l02140"></a><span class="lineno"> 2140</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02141"></a><span class="lineno"> 2141</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02142"></a><span class="lineno"> 2142</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l02143"></a><span class="lineno"> 2143</span>&#160;  }</div>
<div class="line"><a name="l02144"></a><span class="lineno"> 2144</span>&#160;</div>
<div class="line"><a name="l02146"></a><span class="lineno"> 2146</span>&#160;  <span class="comment">// Bisection to find eigenvalues of a real, symmetric, and tridiagonal matrix</span></div>
<div class="line"><a name="l02147"></a><span class="lineno"> 2147</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l02148"></a><span class="lineno"> 2148</span>&#160;  <span class="comment">// g_d           diagonal elements in global memory</span></div>
<div class="line"><a name="l02149"></a><span class="lineno"> 2149</span>&#160;  <span class="comment">// g_s           superdiagonal elements in global elements (stored so that the element *(g_s - 1) can be accessed an equals 0</span></div>
<div class="line"><a name="l02150"></a><span class="lineno"> 2150</span>&#160;  <span class="comment">// n             size of matrix</span></div>
<div class="line"><a name="l02151"></a><span class="lineno"> 2151</span>&#160;  <span class="comment">// lg            lower bound of input interval (e.g. Gerschgorin interval)</span></div>
<div class="line"><a name="l02152"></a><span class="lineno"> 2152</span>&#160;  <span class="comment">// ug            upper bound of input interval (e.g. Gerschgorin interval)</span></div>
<div class="line"><a name="l02153"></a><span class="lineno"> 2153</span>&#160;  <span class="comment">// lg_eig_count  number of eigenvalues that are smaller than \a lg</span></div>
<div class="line"><a name="l02154"></a><span class="lineno"> 2154</span>&#160;  <span class="comment">// lu_eig_count  number of eigenvalues that are smaller than \a lu</span></div>
<div class="line"><a name="l02155"></a><span class="lineno"> 2155</span>&#160;  <span class="comment">// epsilon       desired accuracy of eigenvalues to compute</span></div>
<div class="line"><a name="l02157"></a><span class="lineno"> 2157</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l02158"></a><span class="lineno"> 2158</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> StringType&gt;</div>
<div class="line"><a name="l02159"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a4b1c1b444ac75cf63c74841f757f3be1"> 2159</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a4b1c1b444ac75cf63c74841f757f3be1">generate_bisect_kernel_bisectKernelLarge</a>(StringType &amp; source, std::string <span class="keyword">const</span> &amp; numeric_string)</div>
<div class="line"><a name="l02160"></a><span class="lineno"> 2160</span>&#160;  {</div>
<div class="line"><a name="l02161"></a><span class="lineno"> 2161</span>&#160;      source.append(<span class="stringliteral">&quot;     __kernel  \n&quot;</span>);</div>
<div class="line"><a name="l02162"></a><span class="lineno"> 2162</span>&#160;      source.append(<span class="stringliteral">&quot;     void  \n&quot;</span>);</div>
<div class="line"><a name="l02163"></a><span class="lineno"> 2163</span>&#160;      source.append(<span class="stringliteral">&quot;     bisectKernelLarge(__global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_d,    \n&quot;</span>);</div>
<div class="line"><a name="l02164"></a><span class="lineno"> 2164</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_s,    \n&quot;</span>);</div>
<div class="line"><a name="l02165"></a><span class="lineno"> 2165</span>&#160;      source.append(<span class="stringliteral">&quot;                       const unsigned int n,  \n&quot;</span>);</div>
<div class="line"><a name="l02166"></a><span class="lineno"> 2166</span>&#160;      source.append(<span class="stringliteral">&quot;                       const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; lg,     \n&quot;</span>);</div>
<div class="line"><a name="l02167"></a><span class="lineno"> 2167</span>&#160;      source.append(<span class="stringliteral">&quot;                       const &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; ug,     \n&quot;</span>);</div>
<div class="line"><a name="l02168"></a><span class="lineno"> 2168</span>&#160;      source.append(<span class="stringliteral">&quot;                       const unsigned int lg_eig_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02169"></a><span class="lineno"> 2169</span>&#160;      source.append(<span class="stringliteral">&quot;                       const unsigned int ug_eig_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02170"></a><span class="lineno"> 2170</span>&#160;      source.append(<span class="stringliteral">&quot;                       &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; epsilon,  \n&quot;</span>);</div>
<div class="line"><a name="l02171"></a><span class="lineno"> 2171</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_num_one,  \n&quot;</span>);</div>
<div class="line"><a name="l02172"></a><span class="lineno"> 2172</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_num_blocks_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02173"></a><span class="lineno"> 2173</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left_one,    \n&quot;</span>);</div>
<div class="line"><a name="l02174"></a><span class="lineno"> 2174</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right_one,   \n&quot;</span>);</div>
<div class="line"><a name="l02175"></a><span class="lineno"> 2175</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_pos_one,  \n&quot;</span>);</div>
<div class="line"><a name="l02176"></a><span class="lineno"> 2176</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_left_mult,   \n&quot;</span>);</div>
<div class="line"><a name="l02177"></a><span class="lineno"> 2177</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; *g_right_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02178"></a><span class="lineno"> 2178</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_left_count_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02179"></a><span class="lineno"> 2179</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_right_count_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02180"></a><span class="lineno"> 2180</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_blocks_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02181"></a><span class="lineno"> 2181</span>&#160;      source.append(<span class="stringliteral">&quot;                       __global unsigned int *g_blocks_mult_sum  \n&quot;</span>);</div>
<div class="line"><a name="l02182"></a><span class="lineno"> 2182</span>&#160;      source.append(<span class="stringliteral">&quot;                      )  \n&quot;</span>);</div>
<div class="line"><a name="l02183"></a><span class="lineno"> 2183</span>&#160;      source.append(<span class="stringliteral">&quot;     {  \n&quot;</span>);</div>
<div class="line"><a name="l02184"></a><span class="lineno"> 2184</span>&#160;      source.append(<span class="stringliteral">&quot;         g_s = g_s + 1; \n&quot;</span>);</div>
<div class="line"><a name="l02185"></a><span class="lineno"> 2185</span>&#160;      source.append(<span class="stringliteral">&quot;         uint glb_id = get_global_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l02186"></a><span class="lineno"> 2186</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_id = get_group_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l02187"></a><span class="lineno"> 2187</span>&#160;      source.append(<span class="stringliteral">&quot;         uint grp_nm = get_num_groups(0); \n&quot;</span>);</div>
<div class="line"><a name="l02188"></a><span class="lineno"> 2188</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_id = get_local_id(0); \n&quot;</span>);</div>
<div class="line"><a name="l02189"></a><span class="lineno"> 2189</span>&#160;      source.append(<span class="stringliteral">&quot;         uint lcl_sz = get_local_size(0); \n&quot;</span>);</div>
<div class="line"><a name="l02190"></a><span class="lineno"> 2190</span>&#160;</div>
<div class="line"><a name="l02191"></a><span class="lineno"> 2191</span>&#160;      source.append(<span class="stringliteral">&quot;         const unsigned int tid = lcl_id;  \n&quot;</span>);</div>
<div class="line"><a name="l02192"></a><span class="lineno"> 2192</span>&#160;</div>
<div class="line"><a name="l02193"></a><span class="lineno"> 2193</span>&#160;          <span class="comment">// intervals (store left and right because the subdivision tree is in general</span></div>
<div class="line"><a name="l02194"></a><span class="lineno"> 2194</span>&#160;          <span class="comment">// not dense</span></div>
<div class="line"><a name="l02195"></a><span class="lineno"> 2195</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;  s_left[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02196"></a><span class="lineno"> 2196</span>&#160;      source.append(<span class="stringliteral">&quot;         __local &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot;  s_right[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02197"></a><span class="lineno"> 2197</span>&#160;</div>
<div class="line"><a name="l02198"></a><span class="lineno"> 2198</span>&#160;          <span class="comment">// number of eigenvalues that are smaller than s_left / s_right</span></div>
<div class="line"><a name="l02199"></a><span class="lineno"> 2199</span>&#160;          <span class="comment">// (correspondence is realized via indices)</span></div>
<div class="line"><a name="l02200"></a><span class="lineno"> 2200</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned short  s_left_count[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02201"></a><span class="lineno"> 2201</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned short  s_right_count[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02202"></a><span class="lineno"> 2202</span>&#160;</div>
<div class="line"><a name="l02203"></a><span class="lineno"> 2203</span>&#160;          <span class="comment">// helper for stream compaction</span></div>
<div class="line"><a name="l02204"></a><span class="lineno"> 2204</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned short  s_compaction_list[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02205"></a><span class="lineno"> 2205</span>&#160;</div>
<div class="line"><a name="l02206"></a><span class="lineno"> 2206</span>&#160;          <span class="comment">// state variables for whole block</span></div>
<div class="line"><a name="l02207"></a><span class="lineno"> 2207</span>&#160;          <span class="comment">// if 0 then compaction of second chunk of child intervals is not necessary</span></div>
<div class="line"><a name="l02208"></a><span class="lineno"> 2208</span>&#160;          <span class="comment">// (because all intervals had exactly one non-dead child)</span></div>
<div class="line"><a name="l02209"></a><span class="lineno"> 2209</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int compact_second_chunk;  \n&quot;</span>);</div>
<div class="line"><a name="l02210"></a><span class="lineno"> 2210</span>&#160;          <span class="comment">// if 1 then all threads are converged</span></div>
<div class="line"><a name="l02211"></a><span class="lineno"> 2211</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int all_threads_converged;  \n&quot;</span>);</div>
<div class="line"><a name="l02212"></a><span class="lineno"> 2212</span>&#160;</div>
<div class="line"><a name="l02213"></a><span class="lineno"> 2213</span>&#160;          <span class="comment">// number of currently active threads</span></div>
<div class="line"><a name="l02214"></a><span class="lineno"> 2214</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int num_threads_active;  \n&quot;</span>);</div>
<div class="line"><a name="l02215"></a><span class="lineno"> 2215</span>&#160;</div>
<div class="line"><a name="l02216"></a><span class="lineno"> 2216</span>&#160;          <span class="comment">// number of threads to use for stream compaction</span></div>
<div class="line"><a name="l02217"></a><span class="lineno"> 2217</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int num_threads_compaction;  \n&quot;</span>);</div>
<div class="line"><a name="l02218"></a><span class="lineno"> 2218</span>&#160;</div>
<div class="line"><a name="l02219"></a><span class="lineno"> 2219</span>&#160;          <span class="comment">// helper for exclusive scan</span></div>
<div class="line"><a name="l02220"></a><span class="lineno"> 2220</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned short *s_compaction_list_exc = s_compaction_list + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02221"></a><span class="lineno"> 2221</span>&#160;</div>
<div class="line"><a name="l02222"></a><span class="lineno"> 2222</span>&#160;          <span class="comment">// variables for currently processed interval</span></div>
<div class="line"><a name="l02223"></a><span class="lineno"> 2223</span>&#160;          <span class="comment">// left and right limit of active interval</span></div>
<div class="line"><a name="l02224"></a><span class="lineno"> 2224</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l02225"></a><span class="lineno"> 2225</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; right = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l02226"></a><span class="lineno"> 2226</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int left_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02227"></a><span class="lineno"> 2227</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int right_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02228"></a><span class="lineno"> 2228</span>&#160;          <span class="comment">// midpoint of active interval</span></div>
<div class="line"><a name="l02229"></a><span class="lineno"> 2229</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; mid = 0.0f;  \n&quot;</span>);</div>
<div class="line"><a name="l02230"></a><span class="lineno"> 2230</span>&#160;          <span class="comment">// number of eigenvalues smaller then mid</span></div>
<div class="line"><a name="l02231"></a><span class="lineno"> 2231</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int mid_count = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02232"></a><span class="lineno"> 2232</span>&#160;          <span class="comment">// helper for stream compaction (tracking of threads generating second child)</span></div>
<div class="line"><a name="l02233"></a><span class="lineno"> 2233</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02234"></a><span class="lineno"> 2234</span>&#160;</div>
<div class="line"><a name="l02235"></a><span class="lineno"> 2235</span>&#160;          <span class="comment">// initialize lists</span></div>
<div class="line"><a name="l02236"></a><span class="lineno"> 2236</span>&#160;      source.append(<span class="stringliteral">&quot;         s_compaction_list[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02237"></a><span class="lineno"> 2237</span>&#160;      source.append(<span class="stringliteral">&quot;         s_left[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02238"></a><span class="lineno"> 2238</span>&#160;      source.append(<span class="stringliteral">&quot;         s_right[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02239"></a><span class="lineno"> 2239</span>&#160;      source.append(<span class="stringliteral">&quot;         s_left_count[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02240"></a><span class="lineno"> 2240</span>&#160;      source.append(<span class="stringliteral">&quot;         s_right_count[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02241"></a><span class="lineno"> 2241</span>&#160;</div>
<div class="line"><a name="l02242"></a><span class="lineno"> 2242</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02243"></a><span class="lineno"> 2243</span>&#160;</div>
<div class="line"><a name="l02244"></a><span class="lineno"> 2244</span>&#160;          <span class="comment">// set up initial configuration</span></div>
<div class="line"><a name="l02245"></a><span class="lineno"> 2245</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l02246"></a><span class="lineno"> 2246</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02247"></a><span class="lineno"> 2247</span>&#160;</div>
<div class="line"><a name="l02248"></a><span class="lineno"> 2248</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left[0] = lg;  \n&quot;</span>);</div>
<div class="line"><a name="l02249"></a><span class="lineno"> 2249</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right[0] = ug;  \n&quot;</span>);</div>
<div class="line"><a name="l02250"></a><span class="lineno"> 2250</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left_count[0] = lg_eig_count;  \n&quot;</span>);</div>
<div class="line"><a name="l02251"></a><span class="lineno"> 2251</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right_count[0] = ug_eig_count;  \n&quot;</span>);</div>
<div class="line"><a name="l02252"></a><span class="lineno"> 2252</span>&#160;</div>
<div class="line"><a name="l02253"></a><span class="lineno"> 2253</span>&#160;      source.append(<span class="stringliteral">&quot;             compact_second_chunk = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02254"></a><span class="lineno"> 2254</span>&#160;      source.append(<span class="stringliteral">&quot;             num_threads_active = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02255"></a><span class="lineno"> 2255</span>&#160;</div>
<div class="line"><a name="l02256"></a><span class="lineno"> 2256</span>&#160;      source.append(<span class="stringliteral">&quot;             num_threads_compaction = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02257"></a><span class="lineno"> 2257</span>&#160;</div>
<div class="line"><a name="l02258"></a><span class="lineno"> 2258</span>&#160;      source.append(<span class="stringliteral">&quot;             all_threads_converged = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02259"></a><span class="lineno"> 2259</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02260"></a><span class="lineno"> 2260</span>&#160;</div>
<div class="line"><a name="l02261"></a><span class="lineno"> 2261</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02262"></a><span class="lineno"> 2262</span>&#160;</div>
<div class="line"><a name="l02263"></a><span class="lineno"> 2263</span>&#160;          <span class="comment">// for all active threads read intervals from the last level</span></div>
<div class="line"><a name="l02264"></a><span class="lineno"> 2264</span>&#160;          <span class="comment">// the number of (worst case) active threads per level l is 2^l</span></div>
<div class="line"><a name="l02265"></a><span class="lineno"> 2265</span>&#160;          <span class="comment">// determine coarse intervals. On these intervals the kernel for one or for multiple eigenvalues</span></div>
<div class="line"><a name="l02266"></a><span class="lineno"> 2266</span>&#160;          <span class="comment">// will be executed in the second step</span></div>
<div class="line"><a name="l02267"></a><span class="lineno"> 2267</span>&#160;      source.append(<span class="stringliteral">&quot;    while( true )    \n&quot;</span>);</div>
<div class="line"><a name="l02268"></a><span class="lineno"> 2268</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02269"></a><span class="lineno"> 2269</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02270"></a><span class="lineno"> 2270</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[tid + VIENNACL_BISECT_MAX_THREADS_BLOCK] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02271"></a><span class="lineno"> 2271</span>&#160;      source.append(<span class="stringliteral">&quot;             s_compaction_list[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02272"></a><span class="lineno"> 2272</span>&#160;      source.append(<span class="stringliteral">&quot;             subdivideActiveIntervalShort(tid, s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02273"></a><span class="lineno"> 2273</span>&#160;      source.append(<span class="stringliteral">&quot;                                     num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l02274"></a><span class="lineno"> 2274</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &amp;left, &amp;right, &amp;left_count, &amp;right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02275"></a><span class="lineno"> 2275</span>&#160;      source.append(<span class="stringliteral">&quot;                                     &amp;mid, &amp;all_threads_converged);  \n&quot;</span>);</div>
<div class="line"><a name="l02276"></a><span class="lineno"> 2276</span>&#160;</div>
<div class="line"><a name="l02277"></a><span class="lineno"> 2277</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02278"></a><span class="lineno"> 2278</span>&#160;</div>
<div class="line"><a name="l02279"></a><span class="lineno"> 2279</span>&#160;              <span class="comment">// check if done</span></div>
<div class="line"><a name="l02280"></a><span class="lineno"> 2280</span>&#160;      source.append(<span class="stringliteral">&quot;             if (1 == all_threads_converged)  \n&quot;</span>);</div>
<div class="line"><a name="l02281"></a><span class="lineno"> 2281</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02282"></a><span class="lineno"> 2282</span>&#160;      source.append(<span class="stringliteral">&quot;                 break;  \n&quot;</span>);</div>
<div class="line"><a name="l02283"></a><span class="lineno"> 2283</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02284"></a><span class="lineno"> 2284</span>&#160;</div>
<div class="line"><a name="l02285"></a><span class="lineno"> 2285</span>&#160;              <span class="comment">// compute number of eigenvalues smaller than mid</span></div>
<div class="line"><a name="l02286"></a><span class="lineno"> 2286</span>&#160;              <span class="comment">// use all threads for reading the necessary matrix data from global</span></div>
<div class="line"><a name="l02287"></a><span class="lineno"> 2287</span>&#160;              <span class="comment">// memory</span></div>
<div class="line"><a name="l02288"></a><span class="lineno"> 2288</span>&#160;              <span class="comment">// use s_left and s_right as scratch space for diagonal and</span></div>
<div class="line"><a name="l02289"></a><span class="lineno"> 2289</span>&#160;              <span class="comment">// superdiagonal of matrix</span></div>
<div class="line"><a name="l02290"></a><span class="lineno"> 2290</span>&#160;      source.append(<span class="stringliteral">&quot;             mid_count = computeNumSmallerEigenvalsLarge(g_d, g_s, n,  \n&quot;</span>);</div>
<div class="line"><a name="l02291"></a><span class="lineno"> 2291</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         mid, lcl_id,  \n&quot;</span>);</div>
<div class="line"><a name="l02292"></a><span class="lineno"> 2292</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l02293"></a><span class="lineno"> 2293</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         s_left, s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l02294"></a><span class="lineno"> 2294</span>&#160;      source.append(<span class="stringliteral">&quot;                                                         (left == right));  \n&quot;</span>);</div>
<div class="line"><a name="l02295"></a><span class="lineno"> 2295</span>&#160;</div>
<div class="line"><a name="l02296"></a><span class="lineno"> 2296</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02297"></a><span class="lineno"> 2297</span>&#160;</div>
<div class="line"><a name="l02298"></a><span class="lineno"> 2298</span>&#160;              <span class="comment">// store intervals</span></div>
<div class="line"><a name="l02299"></a><span class="lineno"> 2299</span>&#160;              <span class="comment">// for all threads store the first child interval in a continuous chunk of</span></div>
<div class="line"><a name="l02300"></a><span class="lineno"> 2300</span>&#160;              <span class="comment">// memory, and the second child interval -- if it exists -- in a second</span></div>
<div class="line"><a name="l02301"></a><span class="lineno"> 2301</span>&#160;              <span class="comment">// chunk; it is likely that all threads reach convergence up to</span></div>
<div class="line"><a name="l02302"></a><span class="lineno"> 2302</span>&#160;              <span class="comment">// \a epsilon at the same level; furthermore, for higher level most / all</span></div>
<div class="line"><a name="l02303"></a><span class="lineno"> 2303</span>&#160;              <span class="comment">// threads will have only one child, storing the first child compactly will</span></div>
<div class="line"><a name="l02304"></a><span class="lineno"> 2304</span>&#160;              <span class="comment">// (first) avoid to perform a compaction step on the first chunk, (second)</span></div>
<div class="line"><a name="l02305"></a><span class="lineno"> 2305</span>&#160;              <span class="comment">// make it for higher levels (when all threads / intervals have</span></div>
<div class="line"><a name="l02306"></a><span class="lineno"> 2306</span>&#160;              <span class="comment">// exactly one child)  unnecessary to perform a compaction of the second</span></div>
<div class="line"><a name="l02307"></a><span class="lineno"> 2307</span>&#160;              <span class="comment">// chunk</span></div>
<div class="line"><a name="l02308"></a><span class="lineno"> 2308</span>&#160;      source.append(<span class="stringliteral">&quot;             if (tid &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l02309"></a><span class="lineno"> 2309</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02310"></a><span class="lineno"> 2310</span>&#160;</div>
<div class="line"><a name="l02311"></a><span class="lineno"> 2311</span>&#160;      source.append(<span class="stringliteral">&quot;                 if (left != right)  \n&quot;</span>);</div>
<div class="line"><a name="l02312"></a><span class="lineno"> 2312</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l02313"></a><span class="lineno"> 2313</span>&#160;</div>
<div class="line"><a name="l02314"></a><span class="lineno"> 2314</span>&#160;                      <span class="comment">// store intervals</span></div>
<div class="line"><a name="l02315"></a><span class="lineno"> 2315</span>&#160;      source.append(<span class="stringliteral">&quot;                     storeNonEmptyIntervalsLarge(tid, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l02316"></a><span class="lineno"> 2316</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 s_left, s_right,  \n&quot;</span>);</div>
<div class="line"><a name="l02317"></a><span class="lineno"> 2317</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02318"></a><span class="lineno"> 2318</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 left, mid, right,  \n&quot;</span>);</div>
<div class="line"><a name="l02319"></a><span class="lineno"> 2319</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 left_count, mid_count, right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02320"></a><span class="lineno"> 2320</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 epsilon, &amp;compact_second_chunk,  \n&quot;</span>);</div>
<div class="line"><a name="l02321"></a><span class="lineno"> 2321</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 s_compaction_list_exc,  \n&quot;</span>);</div>
<div class="line"><a name="l02322"></a><span class="lineno"> 2322</span>&#160;      source.append(<span class="stringliteral">&quot;                                                 &amp;is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l02323"></a><span class="lineno"> 2323</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l02324"></a><span class="lineno"> 2324</span>&#160;      source.append(<span class="stringliteral">&quot;                 else  \n&quot;</span>);</div>
<div class="line"><a name="l02325"></a><span class="lineno"> 2325</span>&#160;      source.append(<span class="stringliteral">&quot;                 {  \n&quot;</span>);</div>
<div class="line"><a name="l02326"></a><span class="lineno"> 2326</span>&#160;</div>
<div class="line"><a name="l02327"></a><span class="lineno"> 2327</span>&#160;                      <span class="comment">// re-write converged interval (has to be stored again because s_left</span></div>
<div class="line"><a name="l02328"></a><span class="lineno"> 2328</span>&#160;                      <span class="comment">// and s_right are used as scratch space for</span></div>
<div class="line"><a name="l02329"></a><span class="lineno"> 2329</span>&#160;                      <span class="comment">// computeNumSmallerEigenvalsLarge()</span></div>
<div class="line"><a name="l02330"></a><span class="lineno"> 2330</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_left[tid] = left;  \n&quot;</span>);</div>
<div class="line"><a name="l02331"></a><span class="lineno"> 2331</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_right[tid] = left;  \n&quot;</span>);</div>
<div class="line"><a name="l02332"></a><span class="lineno"> 2332</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_left_count[tid] = left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l02333"></a><span class="lineno"> 2333</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_right_count[tid] = right_count;  \n&quot;</span>);</div>
<div class="line"><a name="l02334"></a><span class="lineno"> 2334</span>&#160;</div>
<div class="line"><a name="l02335"></a><span class="lineno"> 2335</span>&#160;      source.append(<span class="stringliteral">&quot;                     is_active_second = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02336"></a><span class="lineno"> 2336</span>&#160;      source.append(<span class="stringliteral">&quot;                 }  \n&quot;</span>);</div>
<div class="line"><a name="l02337"></a><span class="lineno"> 2337</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02338"></a><span class="lineno"> 2338</span>&#160;</div>
<div class="line"><a name="l02339"></a><span class="lineno"> 2339</span>&#160;              <span class="comment">// necessary so that compact_second_chunk is up-to-date</span></div>
<div class="line"><a name="l02340"></a><span class="lineno"> 2340</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02341"></a><span class="lineno"> 2341</span>&#160;</div>
<div class="line"><a name="l02342"></a><span class="lineno"> 2342</span>&#160;              <span class="comment">// perform compaction of chunk where second children are stored</span></div>
<div class="line"><a name="l02343"></a><span class="lineno"> 2343</span>&#160;              <span class="comment">// scan of (num_threads_active / 2) elements, thus at most</span></div>
<div class="line"><a name="l02344"></a><span class="lineno"> 2344</span>&#160;              <span class="comment">// (num_threads_active / 4) threads are needed</span></div>
<div class="line"><a name="l02345"></a><span class="lineno"> 2345</span>&#160;      source.append(<span class="stringliteral">&quot;             if (compact_second_chunk &gt; 0)  \n&quot;</span>);</div>
<div class="line"><a name="l02346"></a><span class="lineno"> 2346</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02347"></a><span class="lineno"> 2347</span>&#160;</div>
<div class="line"><a name="l02348"></a><span class="lineno"> 2348</span>&#160;                  <span class="comment">// create indices for compaction</span></div>
<div class="line"><a name="l02349"></a><span class="lineno"> 2349</span>&#160;      source.append(<span class="stringliteral">&quot;                 createIndicesCompactionShort(s_compaction_list_exc, num_threads_compaction);  \n&quot;</span>);</div>
<div class="line"><a name="l02350"></a><span class="lineno"> 2350</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02351"></a><span class="lineno"> 2351</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02352"></a><span class="lineno"> 2352</span>&#160;      source.append(<span class="stringliteral">&quot;               \n&quot;</span>);</div>
<div class="line"><a name="l02353"></a><span class="lineno"> 2353</span>&#160;      source.append(<span class="stringliteral">&quot;        if (compact_second_chunk &gt; 0)               \n&quot;</span>);</div>
<div class="line"><a name="l02354"></a><span class="lineno"> 2354</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02355"></a><span class="lineno"> 2355</span>&#160;      source.append(<span class="stringliteral">&quot;                 compactIntervalsShort(s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02356"></a><span class="lineno"> 2356</span>&#160;      source.append(<span class="stringliteral">&quot;                                  mid, right, mid_count, right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02357"></a><span class="lineno"> 2357</span>&#160;      source.append(<span class="stringliteral">&quot;                                  s_compaction_list, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l02358"></a><span class="lineno"> 2358</span>&#160;      source.append(<span class="stringliteral">&quot;                                  is_active_second);  \n&quot;</span>);</div>
<div class="line"><a name="l02359"></a><span class="lineno"> 2359</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02360"></a><span class="lineno"> 2360</span>&#160;</div>
<div class="line"><a name="l02361"></a><span class="lineno"> 2361</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02362"></a><span class="lineno"> 2362</span>&#160;</div>
<div class="line"><a name="l02363"></a><span class="lineno"> 2363</span>&#160;              <span class="comment">// update state variables</span></div>
<div class="line"><a name="l02364"></a><span class="lineno"> 2364</span>&#160;      source.append(<span class="stringliteral">&quot;             if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l02365"></a><span class="lineno"> 2365</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02366"></a><span class="lineno"> 2366</span>&#160;</div>
<div class="line"><a name="l02367"></a><span class="lineno"> 2367</span>&#160;                  <span class="comment">// update number of active threads with result of reduction</span></div>
<div class="line"><a name="l02368"></a><span class="lineno"> 2368</span>&#160;      source.append(<span class="stringliteral">&quot;                 num_threads_active += s_compaction_list[num_threads_active];  \n&quot;</span>);</div>
<div class="line"><a name="l02369"></a><span class="lineno"> 2369</span>&#160;      source.append(<span class="stringliteral">&quot;                 num_threads_compaction = ceilPow2(num_threads_active);  \n&quot;</span>);</div>
<div class="line"><a name="l02370"></a><span class="lineno"> 2370</span>&#160;</div>
<div class="line"><a name="l02371"></a><span class="lineno"> 2371</span>&#160;      source.append(<span class="stringliteral">&quot;                 compact_second_chunk = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02372"></a><span class="lineno"> 2372</span>&#160;      source.append(<span class="stringliteral">&quot;                 all_threads_converged = 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02373"></a><span class="lineno"> 2373</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02374"></a><span class="lineno"> 2374</span>&#160;      source.append(<span class="stringliteral">&quot;             barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02375"></a><span class="lineno"> 2375</span>&#160;      source.append(<span class="stringliteral">&quot;             if (num_threads_compaction &gt; lcl_sz)  \n&quot;</span>);</div>
<div class="line"><a name="l02376"></a><span class="lineno"> 2376</span>&#160;      source.append(<span class="stringliteral">&quot;             {  \n&quot;</span>);</div>
<div class="line"><a name="l02377"></a><span class="lineno"> 2377</span>&#160;      source.append(<span class="stringliteral">&quot;                 break;  \n&quot;</span>);</div>
<div class="line"><a name="l02378"></a><span class="lineno"> 2378</span>&#160;      source.append(<span class="stringliteral">&quot;             }  \n&quot;</span>);</div>
<div class="line"><a name="l02379"></a><span class="lineno"> 2379</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02380"></a><span class="lineno"> 2380</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02381"></a><span class="lineno"> 2381</span>&#160;</div>
<div class="line"><a name="l02382"></a><span class="lineno"> 2382</span>&#160;          <span class="comment">// generate two lists of intervals; one with intervals that contain one</span></div>
<div class="line"><a name="l02383"></a><span class="lineno"> 2383</span>&#160;          <span class="comment">// eigenvalue (or are converged), and one with intervals that need further</span></div>
<div class="line"><a name="l02384"></a><span class="lineno"> 2384</span>&#160;          <span class="comment">// subdivision</span></div>
<div class="line"><a name="l02385"></a><span class="lineno"> 2385</span>&#160;</div>
<div class="line"><a name="l02386"></a><span class="lineno"> 2386</span>&#160;          <span class="comment">// perform two scans in parallel</span></div>
<div class="line"><a name="l02387"></a><span class="lineno"> 2387</span>&#160;</div>
<div class="line"><a name="l02388"></a><span class="lineno"> 2388</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int left_count_2;  \n&quot;</span>);</div>
<div class="line"><a name="l02389"></a><span class="lineno"> 2389</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int right_count_2;  \n&quot;</span>);</div>
<div class="line"><a name="l02390"></a><span class="lineno"> 2390</span>&#160;</div>
<div class="line"><a name="l02391"></a><span class="lineno"> 2391</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int tid_2 = tid + lcl_sz;  \n&quot;</span>);</div>
<div class="line"><a name="l02392"></a><span class="lineno"> 2392</span>&#160;</div>
<div class="line"><a name="l02393"></a><span class="lineno"> 2393</span>&#160;          <span class="comment">// cache in per thread registers so that s_left_count and s_right_count</span></div>
<div class="line"><a name="l02394"></a><span class="lineno"> 2394</span>&#160;          <span class="comment">// can be used for scans</span></div>
<div class="line"><a name="l02395"></a><span class="lineno"> 2395</span>&#160;      source.append(<span class="stringliteral">&quot;         left_count = s_left_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l02396"></a><span class="lineno"> 2396</span>&#160;      source.append(<span class="stringliteral">&quot;         right_count = s_right_count[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l02397"></a><span class="lineno"> 2397</span>&#160;</div>
<div class="line"><a name="l02398"></a><span class="lineno"> 2398</span>&#160;          <span class="comment">// some threads have to cache data for two intervals</span></div>
<div class="line"><a name="l02399"></a><span class="lineno"> 2399</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l02400"></a><span class="lineno"> 2400</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02401"></a><span class="lineno"> 2401</span>&#160;      source.append(<span class="stringliteral">&quot;             left_count_2 = s_left_count[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l02402"></a><span class="lineno"> 2402</span>&#160;      source.append(<span class="stringliteral">&quot;             right_count_2 = s_right_count[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l02403"></a><span class="lineno"> 2403</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02404"></a><span class="lineno"> 2404</span>&#160;</div>
<div class="line"><a name="l02405"></a><span class="lineno"> 2405</span>&#160;          <span class="comment">// compaction list for intervals containing one and multiple eigenvalues</span></div>
<div class="line"><a name="l02406"></a><span class="lineno"> 2406</span>&#160;          <span class="comment">// do not affect first element for exclusive scan</span></div>
<div class="line"><a name="l02407"></a><span class="lineno"> 2407</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned short  *s_cl_one = s_left_count + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02408"></a><span class="lineno"> 2408</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned short  *s_cl_mult = s_right_count + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02409"></a><span class="lineno"> 2409</span>&#160;</div>
<div class="line"><a name="l02410"></a><span class="lineno"> 2410</span>&#160;          <span class="comment">// compaction list for generating blocks of intervals containing multiple</span></div>
<div class="line"><a name="l02411"></a><span class="lineno"> 2411</span>&#160;          <span class="comment">// eigenvalues</span></div>
<div class="line"><a name="l02412"></a><span class="lineno"> 2412</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned short  *s_cl_blocking = s_compaction_list_exc;  \n&quot;</span>);</div>
<div class="line"><a name="l02413"></a><span class="lineno"> 2413</span>&#160;          <span class="comment">// helper compaction list for generating blocks of intervals</span></div>
<div class="line"><a name="l02414"></a><span class="lineno"> 2414</span>&#160;      source.append(<span class="stringliteral">&quot;         __local unsigned short  s_cl_helper[2 * VIENNACL_BISECT_MAX_THREADS_BLOCK + 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02415"></a><span class="lineno"> 2415</span>&#160;</div>
<div class="line"><a name="l02416"></a><span class="lineno"> 2416</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l02417"></a><span class="lineno"> 2417</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02418"></a><span class="lineno"> 2418</span>&#160;              <span class="comment">// set to 0 for exclusive scan</span></div>
<div class="line"><a name="l02419"></a><span class="lineno"> 2419</span>&#160;      source.append(<span class="stringliteral">&quot;             s_left_count[0] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02420"></a><span class="lineno"> 2420</span>&#160;      source.append(<span class="stringliteral">&quot;             s_right_count[0] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02421"></a><span class="lineno"> 2421</span>&#160;      source.append(<span class="stringliteral">&quot;              \n&quot;</span>);</div>
<div class="line"><a name="l02422"></a><span class="lineno"> 2422</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02423"></a><span class="lineno"> 2423</span>&#160;</div>
<div class="line"><a name="l02424"></a><span class="lineno"> 2424</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02425"></a><span class="lineno"> 2425</span>&#160;</div>
<div class="line"><a name="l02426"></a><span class="lineno"> 2426</span>&#160;          <span class="comment">// flag if interval contains one or multiple eigenvalues</span></div>
<div class="line"><a name="l02427"></a><span class="lineno"> 2427</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int is_one_lambda = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02428"></a><span class="lineno"> 2428</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int is_one_lambda_2 = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02429"></a><span class="lineno"> 2429</span>&#160;</div>
<div class="line"><a name="l02430"></a><span class="lineno"> 2430</span>&#160;          <span class="comment">// number of eigenvalues in the interval</span></div>
<div class="line"><a name="l02431"></a><span class="lineno"> 2431</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int multiplicity = right_count - left_count;  \n&quot;</span>);</div>
<div class="line"><a name="l02432"></a><span class="lineno"> 2432</span>&#160;      source.append(<span class="stringliteral">&quot;         is_one_lambda = (1 == multiplicity);  \n&quot;</span>);</div>
<div class="line"><a name="l02433"></a><span class="lineno"> 2433</span>&#160;</div>
<div class="line"><a name="l02434"></a><span class="lineno"> 2434</span>&#160;      source.append(<span class="stringliteral">&quot;         s_cl_one[tid] = is_one_lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l02435"></a><span class="lineno"> 2435</span>&#160;      source.append(<span class="stringliteral">&quot;         s_cl_mult[tid] = (! is_one_lambda);  \n&quot;</span>);</div>
<div class="line"><a name="l02436"></a><span class="lineno"> 2436</span>&#160;</div>
<div class="line"><a name="l02437"></a><span class="lineno"> 2437</span>&#160;          <span class="comment">// (note: s_cl_blocking is non-zero only where s_cl_mult[] is non-zero)</span></div>
<div class="line"><a name="l02438"></a><span class="lineno"> 2438</span>&#160;      source.append(<span class="stringliteral">&quot;         s_cl_blocking[tid] = (1 == is_one_lambda) ? 0 : multiplicity;  \n&quot;</span>);</div>
<div class="line"><a name="l02439"></a><span class="lineno"> 2439</span>&#160;      source.append(<span class="stringliteral">&quot;         s_cl_helper[tid] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02440"></a><span class="lineno"> 2440</span>&#160;</div>
<div class="line"><a name="l02441"></a><span class="lineno"> 2441</span>&#160;      source.append(<span class="stringliteral">&quot;         if (tid_2 &lt; num_threads_active)  \n&quot;</span>);</div>
<div class="line"><a name="l02442"></a><span class="lineno"> 2442</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02443"></a><span class="lineno"> 2443</span>&#160;</div>
<div class="line"><a name="l02444"></a><span class="lineno"> 2444</span>&#160;      source.append(<span class="stringliteral">&quot;             unsigned int multiplicity = right_count_2 - left_count_2;  \n&quot;</span>);</div>
<div class="line"><a name="l02445"></a><span class="lineno"> 2445</span>&#160;      source.append(<span class="stringliteral">&quot;             is_one_lambda_2 = (1 == multiplicity);  \n&quot;</span>);</div>
<div class="line"><a name="l02446"></a><span class="lineno"> 2446</span>&#160;</div>
<div class="line"><a name="l02447"></a><span class="lineno"> 2447</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_one[tid_2] = is_one_lambda_2;  \n&quot;</span>);</div>
<div class="line"><a name="l02448"></a><span class="lineno"> 2448</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_mult[tid_2] = (! is_one_lambda_2);  \n&quot;</span>);</div>
<div class="line"><a name="l02449"></a><span class="lineno"> 2449</span>&#160;</div>
<div class="line"><a name="l02450"></a><span class="lineno"> 2450</span>&#160;              <span class="comment">// (note: s_cl_blocking is non-zero only where s_cl_mult[] is non-zero)</span></div>
<div class="line"><a name="l02451"></a><span class="lineno"> 2451</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_blocking[tid_2] = (1 == is_one_lambda_2) ? 0 : multiplicity;  \n&quot;</span>);</div>
<div class="line"><a name="l02452"></a><span class="lineno"> 2452</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_helper[tid_2] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02453"></a><span class="lineno"> 2453</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02454"></a><span class="lineno"> 2454</span>&#160;      source.append(<span class="stringliteral">&quot;         else if (tid_2 &lt; (2 * (n &gt; 512 ? VIENNACL_BISECT_MAX_THREADS_BLOCK : VIENNACL_BISECT_MAX_THREADS_BLOCK / 2) + 1))  \n&quot;</span>);</div>
<div class="line"><a name="l02455"></a><span class="lineno"> 2455</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02456"></a><span class="lineno"> 2456</span>&#160;</div>
<div class="line"><a name="l02457"></a><span class="lineno"> 2457</span>&#160;              <span class="comment">// clear</span></div>
<div class="line"><a name="l02458"></a><span class="lineno"> 2458</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_blocking[tid_2] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02459"></a><span class="lineno"> 2459</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_helper[tid_2] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02460"></a><span class="lineno"> 2460</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02461"></a><span class="lineno"> 2461</span>&#160;</div>
<div class="line"><a name="l02462"></a><span class="lineno"> 2462</span>&#160;</div>
<div class="line"><a name="l02463"></a><span class="lineno"> 2463</span>&#160;      source.append(<span class="stringliteral">&quot;         scanInitial(tid, tid_2, n, num_threads_active, num_threads_compaction,  \n&quot;</span>);</div>
<div class="line"><a name="l02464"></a><span class="lineno"> 2464</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_cl_one, s_cl_mult, s_cl_blocking, s_cl_helper);  \n&quot;</span>);</div>
<div class="line"><a name="l02465"></a><span class="lineno"> 2465</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l02466"></a><span class="lineno"> 2466</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02467"></a><span class="lineno"> 2467</span>&#160;</div>
<div class="line"><a name="l02468"></a><span class="lineno"> 2468</span>&#160;      source.append(<span class="stringliteral">&quot;         scanSumBlocks(tid, tid_2, num_threads_active,  \n&quot;</span>);</div>
<div class="line"><a name="l02469"></a><span class="lineno"> 2469</span>&#160;      source.append(<span class="stringliteral">&quot;                       num_threads_compaction, s_cl_blocking, s_cl_helper);  \n&quot;</span>);</div>
<div class="line"><a name="l02470"></a><span class="lineno"> 2470</span>&#160;</div>
<div class="line"><a name="l02471"></a><span class="lineno"> 2471</span>&#160;          <span class="comment">// end down sweep of scan</span></div>
<div class="line"><a name="l02472"></a><span class="lineno"> 2472</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02473"></a><span class="lineno"> 2473</span>&#160;</div>
<div class="line"><a name="l02474"></a><span class="lineno"> 2474</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  c_block_iend = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02475"></a><span class="lineno"> 2475</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  c_block_iend_2 = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02476"></a><span class="lineno"> 2476</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  c_sum_block = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02477"></a><span class="lineno"> 2477</span>&#160;      source.append(<span class="stringliteral">&quot;         unsigned int  c_sum_block_2 = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02478"></a><span class="lineno"> 2478</span>&#160;</div>
<div class="line"><a name="l02479"></a><span class="lineno"> 2479</span>&#160;          <span class="comment">// for each thread / interval that corresponds to root node of interval block</span></div>
<div class="line"><a name="l02480"></a><span class="lineno"> 2480</span>&#160;          <span class="comment">// store start address of block and total number of eigenvalues in all blocks</span></div>
<div class="line"><a name="l02481"></a><span class="lineno"> 2481</span>&#160;          <span class="comment">// before this block (particular thread is irrelevant, constraint is to</span></div>
<div class="line"><a name="l02482"></a><span class="lineno"> 2482</span>&#160;          <span class="comment">// have a subset of threads so that one and only one of them is in each</span></div>
<div class="line"><a name="l02483"></a><span class="lineno"> 2483</span>&#160;          <span class="comment">// interval)</span></div>
<div class="line"><a name="l02484"></a><span class="lineno"> 2484</span>&#160;      source.append(<span class="stringliteral">&quot;         if (1 == s_cl_helper[tid])  \n&quot;</span>);</div>
<div class="line"><a name="l02485"></a><span class="lineno"> 2485</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02486"></a><span class="lineno"> 2486</span>&#160;</div>
<div class="line"><a name="l02487"></a><span class="lineno"> 2487</span>&#160;      source.append(<span class="stringliteral">&quot;             c_block_iend = s_cl_mult[tid] + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02488"></a><span class="lineno"> 2488</span>&#160;      source.append(<span class="stringliteral">&quot;             c_sum_block = s_cl_blocking[tid];  \n&quot;</span>);</div>
<div class="line"><a name="l02489"></a><span class="lineno"> 2489</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02490"></a><span class="lineno"> 2490</span>&#160;</div>
<div class="line"><a name="l02491"></a><span class="lineno"> 2491</span>&#160;      source.append(<span class="stringliteral">&quot;         if (1 == s_cl_helper[tid_2])  \n&quot;</span>);</div>
<div class="line"><a name="l02492"></a><span class="lineno"> 2492</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02493"></a><span class="lineno"> 2493</span>&#160;</div>
<div class="line"><a name="l02494"></a><span class="lineno"> 2494</span>&#160;      source.append(<span class="stringliteral">&quot;             c_block_iend_2 = s_cl_mult[tid_2] + 1;  \n&quot;</span>);</div>
<div class="line"><a name="l02495"></a><span class="lineno"> 2495</span>&#160;      source.append(<span class="stringliteral">&quot;             c_sum_block_2 = s_cl_blocking[tid_2];  \n&quot;</span>);</div>
<div class="line"><a name="l02496"></a><span class="lineno"> 2496</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02497"></a><span class="lineno"> 2497</span>&#160;</div>
<div class="line"><a name="l02498"></a><span class="lineno"> 2498</span>&#160;      source.append(<span class="stringliteral">&quot;         scanCompactBlocksStartAddress(tid, tid_2, num_threads_compaction,  \n&quot;</span>);</div>
<div class="line"><a name="l02499"></a><span class="lineno"> 2499</span>&#160;      source.append(<span class="stringliteral">&quot;                                       s_cl_blocking, s_cl_helper);  \n&quot;</span>);</div>
<div class="line"><a name="l02500"></a><span class="lineno"> 2500</span>&#160;</div>
<div class="line"><a name="l02501"></a><span class="lineno"> 2501</span>&#160;</div>
<div class="line"><a name="l02502"></a><span class="lineno"> 2502</span>&#160;          <span class="comment">// finished second scan for s_cl_blocking</span></div>
<div class="line"><a name="l02503"></a><span class="lineno"> 2503</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02504"></a><span class="lineno"> 2504</span>&#160;</div>
<div class="line"><a name="l02505"></a><span class="lineno"> 2505</span>&#160;          <span class="comment">// determine the global results</span></div>
<div class="line"><a name="l02506"></a><span class="lineno"> 2506</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int num_blocks_mult;  \n&quot;</span>);</div>
<div class="line"><a name="l02507"></a><span class="lineno"> 2507</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int num_mult;  \n&quot;</span>);</div>
<div class="line"><a name="l02508"></a><span class="lineno"> 2508</span>&#160;      source.append(<span class="stringliteral">&quot;         __local  unsigned int offset_mult_lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l02509"></a><span class="lineno"> 2509</span>&#160;</div>
<div class="line"><a name="l02510"></a><span class="lineno"> 2510</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l02511"></a><span class="lineno"> 2511</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02512"></a><span class="lineno"> 2512</span>&#160;</div>
<div class="line"><a name="l02513"></a><span class="lineno"> 2513</span>&#160;      source.append(<span class="stringliteral">&quot;             num_blocks_mult = s_cl_blocking[num_threads_active - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02514"></a><span class="lineno"> 2514</span>&#160;      source.append(<span class="stringliteral">&quot;             offset_mult_lambda = s_cl_one[num_threads_active - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02515"></a><span class="lineno"> 2515</span>&#160;      source.append(<span class="stringliteral">&quot;             num_mult = s_cl_mult[num_threads_active - 1];  \n&quot;</span>);</div>
<div class="line"><a name="l02516"></a><span class="lineno"> 2516</span>&#160;</div>
<div class="line"><a name="l02517"></a><span class="lineno"> 2517</span>&#160;      source.append(<span class="stringliteral">&quot;             *g_num_one = offset_mult_lambda;  \n&quot;</span>);</div>
<div class="line"><a name="l02518"></a><span class="lineno"> 2518</span>&#160;      source.append(<span class="stringliteral">&quot;             *g_num_blocks_mult = num_blocks_mult;  \n&quot;</span>);</div>
<div class="line"><a name="l02519"></a><span class="lineno"> 2519</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02520"></a><span class="lineno"> 2520</span>&#160;</div>
<div class="line"><a name="l02521"></a><span class="lineno"> 2521</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02522"></a><span class="lineno"> 2522</span>&#160;</div>
<div class="line"><a name="l02523"></a><span class="lineno"> 2523</span>&#160;      source.append(<span class="stringliteral">&quot;         &quot;</span>); source.append(numeric_string); source.append(<span class="stringliteral">&quot; left_2, right_2;  \n&quot;</span>);</div>
<div class="line"><a name="l02524"></a><span class="lineno"> 2524</span>&#160;      source.append(<span class="stringliteral">&quot;         --s_cl_one;  \n&quot;</span>);</div>
<div class="line"><a name="l02525"></a><span class="lineno"> 2525</span>&#160;      source.append(<span class="stringliteral">&quot;         --s_cl_mult;  \n&quot;</span>);</div>
<div class="line"><a name="l02526"></a><span class="lineno"> 2526</span>&#160;      source.append(<span class="stringliteral">&quot;         --s_cl_blocking;  \n&quot;</span>);</div>
<div class="line"><a name="l02527"></a><span class="lineno"> 2527</span>&#160;      source.append(<span class="stringliteral">&quot;           \n&quot;</span>);</div>
<div class="line"><a name="l02528"></a><span class="lineno"> 2528</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02529"></a><span class="lineno"> 2529</span>&#160;      source.append(<span class="stringliteral">&quot;         compactStreamsFinal(tid, tid_2, num_threads_active, &amp;offset_mult_lambda,  \n&quot;</span>);</div>
<div class="line"><a name="l02530"></a><span class="lineno"> 2530</span>&#160;      source.append(<span class="stringliteral">&quot;                             s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02531"></a><span class="lineno"> 2531</span>&#160;      source.append(<span class="stringliteral">&quot;                             s_cl_one, s_cl_mult, s_cl_blocking, s_cl_helper,  \n&quot;</span>);</div>
<div class="line"><a name="l02532"></a><span class="lineno"> 2532</span>&#160;      source.append(<span class="stringliteral">&quot;                             is_one_lambda, is_one_lambda_2,  \n&quot;</span>);</div>
<div class="line"><a name="l02533"></a><span class="lineno"> 2533</span>&#160;      source.append(<span class="stringliteral">&quot;                             &amp;left, &amp;right, &amp;left_2, &amp;right_2,  \n&quot;</span>);</div>
<div class="line"><a name="l02534"></a><span class="lineno"> 2534</span>&#160;      source.append(<span class="stringliteral">&quot;                             &amp;left_count, &amp;right_count, &amp;left_count_2, &amp;right_count_2,  \n&quot;</span>);</div>
<div class="line"><a name="l02535"></a><span class="lineno"> 2535</span>&#160;      source.append(<span class="stringliteral">&quot;                             c_block_iend, c_sum_block, c_block_iend_2, c_sum_block_2  \n&quot;</span>);</div>
<div class="line"><a name="l02536"></a><span class="lineno"> 2536</span>&#160;      source.append(<span class="stringliteral">&quot;                            );  \n&quot;</span>);</div>
<div class="line"><a name="l02537"></a><span class="lineno"> 2537</span>&#160;</div>
<div class="line"><a name="l02538"></a><span class="lineno"> 2538</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02539"></a><span class="lineno"> 2539</span>&#160;</div>
<div class="line"><a name="l02540"></a><span class="lineno"> 2540</span>&#160;          <span class="comment">// final adjustment before writing out data to global memory</span></div>
<div class="line"><a name="l02541"></a><span class="lineno"> 2541</span>&#160;      source.append(<span class="stringliteral">&quot;         if (0 == tid)  \n&quot;</span>);</div>
<div class="line"><a name="l02542"></a><span class="lineno"> 2542</span>&#160;      source.append(<span class="stringliteral">&quot;         {  \n&quot;</span>);</div>
<div class="line"><a name="l02543"></a><span class="lineno"> 2543</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_blocking[num_blocks_mult] = num_mult;  \n&quot;</span>);</div>
<div class="line"><a name="l02544"></a><span class="lineno"> 2544</span>&#160;      source.append(<span class="stringliteral">&quot;             s_cl_helper[0] = 0;  \n&quot;</span>);</div>
<div class="line"><a name="l02545"></a><span class="lineno"> 2545</span>&#160;      source.append(<span class="stringliteral">&quot;         }  \n&quot;</span>);</div>
<div class="line"><a name="l02546"></a><span class="lineno"> 2546</span>&#160;</div>
<div class="line"><a name="l02547"></a><span class="lineno"> 2547</span>&#160;      source.append(<span class="stringliteral">&quot;         barrier(CLK_LOCAL_MEM_FENCE)  ;  \n&quot;</span>);</div>
<div class="line"><a name="l02548"></a><span class="lineno"> 2548</span>&#160;</div>
<div class="line"><a name="l02549"></a><span class="lineno"> 2549</span>&#160;          <span class="comment">// write to global memory</span></div>
<div class="line"><a name="l02550"></a><span class="lineno"> 2550</span>&#160;      source.append(<span class="stringliteral">&quot;         writeToGmem(tid, tid_2, num_threads_active, num_blocks_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02551"></a><span class="lineno"> 2551</span>&#160;      source.append(<span class="stringliteral">&quot;                     g_left_one, g_right_one, g_pos_one,  \n&quot;</span>);</div>
<div class="line"><a name="l02552"></a><span class="lineno"> 2552</span>&#160;      source.append(<span class="stringliteral">&quot;                     g_left_mult, g_right_mult, g_left_count_mult, g_right_count_mult,  \n&quot;</span>);</div>
<div class="line"><a name="l02553"></a><span class="lineno"> 2553</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_left, s_right, s_left_count, s_right_count,  \n&quot;</span>);</div>
<div class="line"><a name="l02554"></a><span class="lineno"> 2554</span>&#160;      source.append(<span class="stringliteral">&quot;                     g_blocks_mult, g_blocks_mult_sum,  \n&quot;</span>);</div>
<div class="line"><a name="l02555"></a><span class="lineno"> 2555</span>&#160;      source.append(<span class="stringliteral">&quot;                     s_compaction_list, s_cl_helper, offset_mult_lambda);  \n&quot;</span>);</div>
<div class="line"><a name="l02556"></a><span class="lineno"> 2556</span>&#160;      source.append(<span class="stringliteral">&quot;                       \n&quot;</span>);</div>
<div class="line"><a name="l02557"></a><span class="lineno"> 2557</span>&#160;</div>
<div class="line"><a name="l02558"></a><span class="lineno"> 2558</span>&#160;      source.append(<span class="stringliteral">&quot;     }  \n&quot;</span>);</div>
<div class="line"><a name="l02559"></a><span class="lineno"> 2559</span>&#160;  }</div>
<div class="line"><a name="l02560"></a><span class="lineno"> 2560</span>&#160;</div>
<div class="line"><a name="l02561"></a><span class="lineno"> 2561</span>&#160;  <span class="comment">// main kernel class</span></div>
<div class="line"><a name="l02565"></a><span class="lineno"> 2565</span>&#160;<span class="comment"></span>  <span class="keyword">template</span> &lt;<span class="keyword">class</span> NumericT&gt;</div>
<div class="line"><a name="l02566"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html"> 2566</a></span>&#160;  <span class="keyword">struct </span><a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html">bisect_kernel</a></div>
<div class="line"><a name="l02567"></a><span class="lineno"> 2567</span>&#160;  {</div>
<div class="line"><a name="l02568"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html#aa1828c35426f5bc0e0a6362485b3abd5"> 2568</a></span>&#160;    <span class="keyword">static</span> std::string <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html#aa1828c35426f5bc0e0a6362485b3abd5">program_name</a>()</div>
<div class="line"><a name="l02569"></a><span class="lineno"> 2569</span>&#160;    {</div>
<div class="line"><a name="l02570"></a><span class="lineno"> 2570</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;_bisect_kernel&quot;</span>;</div>
<div class="line"><a name="l02571"></a><span class="lineno"> 2571</span>&#160;    }</div>
<div class="line"><a name="l02572"></a><span class="lineno"> 2572</span>&#160;</div>
<div class="line"><a name="l02573"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html#aa40f65d3b3f9c310df10e21ef3f6cbc1"> 2573</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_1bisect__kernel.html#aa40f65d3b3f9c310df10e21ef3f6cbc1">init</a>(<a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &amp; ctx)</div>
<div class="line"><a name="l02574"></a><span class="lineno"> 2574</span>&#160;    {</div>
<div class="line"><a name="l02575"></a><span class="lineno"> 2575</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="l02576"></a><span class="lineno"> 2576</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="l02577"></a><span class="lineno"> 2577</span>&#160;</div>
<div class="line"><a name="l02578"></a><span class="lineno"> 2578</span>&#160;      <span class="keyword">static</span> std::map&lt;cl_context, bool&gt; init_done;</div>
<div class="line"><a name="l02579"></a><span class="lineno"> 2579</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="l02580"></a><span class="lineno"> 2580</span>&#160;      {</div>
<div class="line"><a name="l02581"></a><span class="lineno"> 2581</span>&#160;        std::string source;</div>
<div class="line"><a name="l02582"></a><span class="lineno"> 2582</span>&#160;        source.reserve(8192);</div>
<div class="line"><a name="l02583"></a><span class="lineno"> 2583</span>&#160;</div>
<div class="line"><a name="l02584"></a><span class="lineno"> 2584</span>&#160;        viennacl::ocl::append_double_precision_pragma&lt;NumericT&gt;(ctx, source);</div>
<div class="line"><a name="l02585"></a><span class="lineno"> 2585</span>&#160;</div>
<div class="line"><a name="l02586"></a><span class="lineno"> 2586</span>&#160;        <span class="comment">// only generate for floating points (forces error for integers)</span></div>
<div class="line"><a name="l02587"></a><span class="lineno"> 2587</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="l02588"></a><span class="lineno"> 2588</span>&#160;        {</div>
<div class="line"><a name="l02589"></a><span class="lineno"> 2589</span>&#160;          <span class="comment">//functions used from bisect_util.cpp</span></div>
<div class="line"><a name="l02590"></a><span class="lineno"> 2590</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a5dda99b34ad4350282b37e516ad43d90">generate_bisect_kernel_config</a>(source);</div>
<div class="line"><a name="l02591"></a><span class="lineno"> 2591</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a7b378daca265ef32c0cab788bc5d6fda">generate_bisect_kernel_floorPow2</a>(source, numeric_string);</div>
<div class="line"><a name="l02592"></a><span class="lineno"> 2592</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a930bf5582d6407ead9532a49a51714be">generate_bisect_kernel_ceilPow2</a>(source, numeric_string);</div>
<div class="line"><a name="l02593"></a><span class="lineno"> 2593</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71b55d82d86e52a36f7a980e1e1cb60f">generate_bisect_kernel_computeMidpoint</a>(source, numeric_string);</div>
<div class="line"><a name="l02594"></a><span class="lineno"> 2594</span>&#160;</div>
<div class="line"><a name="l02595"></a><span class="lineno"> 2595</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a567689e2cd00785a357a79c9f38eab65">generate_bisect_kernel_storeInterval</a>(source, numeric_string);</div>
<div class="line"><a name="l02596"></a><span class="lineno"> 2596</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aff62149c62908e2fa37bfbf85a4a5cdf">generate_bisect_kernel_storeIntervalShort</a>(source, numeric_string);</div>
<div class="line"><a name="l02597"></a><span class="lineno"> 2597</span>&#160;</div>
<div class="line"><a name="l02598"></a><span class="lineno"> 2598</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd7b8f4a45a0a33a994c89589efd9cf0">generate_bisect_kernel_computeNumSmallerEigenvals</a>(source, numeric_string);</div>
<div class="line"><a name="l02599"></a><span class="lineno"> 2599</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ae8638f026e01f96697536552db93212f">generate_bisect_kernel_computeNumSmallerEigenvalsLarge</a>(source, numeric_string);</div>
<div class="line"><a name="l02600"></a><span class="lineno"> 2600</span>&#160;</div>
<div class="line"><a name="l02601"></a><span class="lineno"> 2601</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aad695fe296aa9e3b6a0dc4c472ad0cd3">generate_bisect_kernel_storeNonEmptyIntervals</a>(source, numeric_string);</div>
<div class="line"><a name="l02602"></a><span class="lineno"> 2602</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a1caa05ae768ebecd644418202f23cb3b">generate_bisect_kernel_storeNonEmptyIntervalsLarge</a>(source, numeric_string);</div>
<div class="line"><a name="l02603"></a><span class="lineno"> 2603</span>&#160;</div>
<div class="line"><a name="l02604"></a><span class="lineno"> 2604</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af493d04690d488d12a9e8b5b671bfce2">generate_bisect_kernel_createIndicesCompaction</a>(source);</div>
<div class="line"><a name="l02605"></a><span class="lineno"> 2605</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a46499210dd90f5a0c50806ea5db1a185">generate_bisect_kernel_createIndicesCompactionShort</a>(source);</div>
<div class="line"><a name="l02606"></a><span class="lineno"> 2606</span>&#160;</div>
<div class="line"><a name="l02607"></a><span class="lineno"> 2607</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3b5db806d7e384d6384205815cb49f6e">generate_bisect_kernel_compactIntervals</a>(source, numeric_string);</div>
<div class="line"><a name="l02608"></a><span class="lineno"> 2608</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a4b8d5d1e1da364345b4846035dde7c">generate_bisect_kernel_compactIntervalsShort</a>(source, numeric_string);</div>
<div class="line"><a name="l02609"></a><span class="lineno"> 2609</span>&#160;</div>
<div class="line"><a name="l02610"></a><span class="lineno"> 2610</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3bf5e9e8c82f0301f0866dce841a8118">generate_bisect_kernel_storeIntervalConverged</a>(source, numeric_string);</div>
<div class="line"><a name="l02611"></a><span class="lineno"> 2611</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abc6b25fb3693f18d024c5a1615852428">generate_bisect_kernel_storeIntervalConvergedShort</a>(source, numeric_string);</div>
<div class="line"><a name="l02612"></a><span class="lineno"> 2612</span>&#160;</div>
<div class="line"><a name="l02613"></a><span class="lineno"> 2613</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af691d922a1d82dbc23382b2b3042366b">generate_bisect_kernel_subdivideActiveInterval</a>(source, numeric_string);</div>
<div class="line"><a name="l02614"></a><span class="lineno"> 2614</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a364186fe09148b1b12c83a472f19d745">generate_bisect_kernel_subdivideActiveIntervalShort</a>(source, numeric_string);</div>
<div class="line"><a name="l02615"></a><span class="lineno"> 2615</span>&#160;</div>
<div class="line"><a name="l02616"></a><span class="lineno"> 2616</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a983cf94c8567dab6900a9d5f936bcb2f">generate_bisect_kernel_bisectKernel</a>(source, numeric_string);</div>
<div class="line"><a name="l02617"></a><span class="lineno"> 2617</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a616e5afb93ae1f2c59fcb93aa99a53">generate_bisect_kernel_bisectKernelLarge_MultIntervals</a>(source, numeric_string);</div>
<div class="line"><a name="l02618"></a><span class="lineno"> 2618</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a48bea4f56f9bc4d20db56ab72fb31238">generate_bisect_kernel_bisectKernelLarge_OneIntervals</a>(source, numeric_string);</div>
<div class="line"><a name="l02619"></a><span class="lineno"> 2619</span>&#160;</div>
<div class="line"><a name="l02620"></a><span class="lineno"> 2620</span>&#160;</div>
<div class="line"><a name="l02621"></a><span class="lineno"> 2621</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aaf9b91abeeeaf47b193c4a8a3d92af79">generate_bisect_kernel_writeToGmem</a>(source, numeric_string);</div>
<div class="line"><a name="l02622"></a><span class="lineno"> 2622</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a54eb8a1e8a9e0077bd6b5108a62c5d19">generate_bisect_kernel_compactStreamsFinal</a>(source, numeric_string);</div>
<div class="line"><a name="l02623"></a><span class="lineno"> 2623</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a26f080eb7ea68f015e49a438fc379234">generate_bisect_kernel_scanCompactBlocksStartAddress</a>(source);</div>
<div class="line"><a name="l02624"></a><span class="lineno"> 2624</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ab8b686504d2dc5d3936226fe6ab4e3f4">generate_bisect_kernel_scanSumBlocks</a>(source);</div>
<div class="line"><a name="l02625"></a><span class="lineno"> 2625</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a49cc986d68fd621ccf5d358d8ebf3faf">generate_bisect_kernel_scanInitial</a>(source);</div>
<div class="line"><a name="l02626"></a><span class="lineno"> 2626</span>&#160;          <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a4b1c1b444ac75cf63c74841f757f3be1">generate_bisect_kernel_bisectKernelLarge</a>(source, numeric_string);</div>
<div class="line"><a name="l02627"></a><span class="lineno"> 2627</span>&#160;</div>
<div class="line"><a name="l02628"></a><span class="lineno"> 2628</span>&#160;</div>
<div class="line"><a name="l02629"></a><span class="lineno"> 2629</span>&#160;        }</div>
<div class="line"><a name="l02630"></a><span class="lineno"> 2630</span>&#160;</div>
<div class="line"><a name="l02631"></a><span class="lineno"> 2631</span>&#160;        std::string prog_name = <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html#aa1828c35426f5bc0e0a6362485b3abd5">program_name</a>();</div>
<div class="line"><a name="l02632"></a><span class="lineno"> 2632</span>&#160;<span class="preprocessor">        #ifdef VIENNACL_BUILD_INFO</span></div>
<div class="line"><a name="l02633"></a><span class="lineno"> 2633</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="l02634"></a><span class="lineno"> 2634</span>&#160;<span class="preprocessor">        #endif</span></div>
<div class="line"><a name="l02635"></a><span class="lineno"> 2635</span>&#160;        ctx.add_program(source, prog_name);</div>
<div class="line"><a name="l02636"></a><span class="lineno"> 2636</span>&#160;        init_done[ctx.handle().get()] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l02637"></a><span class="lineno"> 2637</span>&#160;      } <span class="comment">//if</span></div>
<div class="line"><a name="l02638"></a><span class="lineno"> 2638</span>&#160;    } <span class="comment">//init</span></div>
<div class="line"><a name="l02639"></a><span class="lineno"> 2639</span>&#160;  };</div>
<div class="line"><a name="l02640"></a><span class="lineno"> 2640</span>&#160;}</div>
<div class="line"><a name="l02641"></a><span class="lineno"> 2641</span>&#160;}</div>
<div class="line"><a name="l02642"></a><span class="lineno"> 2642</span>&#160;}</div>
<div class="line"><a name="l02643"></a><span class="lineno"> 2643</span>&#160;}</div>
<div class="line"><a name="l02644"></a><span class="lineno"> 2644</span>&#160;</div>
<div class="line"><a name="l02645"></a><span class="lineno"> 2645</span>&#160;<span class="preprocessor">#endif // #ifndef _BISECT_KERNEL_LARGE_H_</span></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a2a616e5afb93ae1f2c59fcb93aa99a53"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a616e5afb93ae1f2c59fcb93aa99a53">viennacl::linalg::opencl::kernels::generate_bisect_kernel_bisectKernelLarge_MultIntervals</a></div><div class="ttdeci">void generate_bisect_kernel_bisectKernelLarge_MultIntervals(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01317">bisect.hpp:1317</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_aaf9b91abeeeaf47b193c4a8a3d92af79"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aaf9b91abeeeaf47b193c4a8a3d92af79">viennacl::linalg::opencl::kernels::generate_bisect_kernel_writeToGmem</a></div><div class="ttdeci">void generate_bisect_kernel_writeToGmem(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01673">bisect.hpp:1673</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel_html_aa40f65d3b3f9c310df10e21ef3f6cbc1"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html#aa40f65d3b3f9c310df10e21ef3f6cbc1">viennacl::linalg::opencl::kernels::bisect_kernel::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_2bisect_8hpp_source.html#l02573">bisect.hpp:2573</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a983cf94c8567dab6900a9d5f936bcb2f"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a983cf94c8567dab6900a9d5f936bcb2f">viennacl::linalg::opencl::kernels::generate_bisect_kernel_bisectKernel</a></div><div class="ttdeci">void generate_bisect_kernel_bisectKernel(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01085">bisect.hpp:1085</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_af691d922a1d82dbc23382b2b3042366b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af691d922a1d82dbc23382b2b3042366b">viennacl::linalg::opencl::kernels::generate_bisect_kernel_subdivideActiveInterval</a></div><div class="ttdeci">void generate_bisect_kernel_subdivideActiveInterval(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00971">bisect.hpp:971</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a7b378daca265ef32c0cab788bc5d6fda"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a7b378daca265ef32c0cab788bc5d6fda">viennacl::linalg::opencl::kernels::generate_bisect_kernel_floorPow2</a></div><div class="ttdeci">void generate_bisect_kernel_floorPow2(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00066">bisect.hpp:66</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a4b1c1b444ac75cf63c74841f757f3be1"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a4b1c1b444ac75cf63c74841f757f3be1">viennacl::linalg::opencl::kernels::generate_bisect_kernel_bisectKernelLarge</a></div><div class="ttdeci">void generate_bisect_kernel_bisectKernelLarge(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l02159">bisect.hpp:2159</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="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a46499210dd90f5a0c50806ea5db1a185"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a46499210dd90f5a0c50806ea5db1a185">viennacl::linalg::opencl::kernels::generate_bisect_kernel_createIndicesCompactionShort</a></div><div class="ttdeci">void generate_bisect_kernel_createIndicesCompactionShort(StringType &amp;source)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00667">bisect.hpp:667</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_a54eb8a1e8a9e0077bd6b5108a62c5d19"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a54eb8a1e8a9e0077bd6b5108a62c5d19">viennacl::linalg::opencl::kernels::generate_bisect_kernel_compactStreamsFinal</a></div><div class="ttdeci">void generate_bisect_kernel_compactStreamsFinal(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01765">bisect.hpp:1765</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_a3b5db806d7e384d6384205815cb49f6e"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3b5db806d7e384d6384205815cb49f6e">viennacl::linalg::opencl::kernels::generate_bisect_kernel_compactIntervals</a></div><div class="ttdeci">void generate_bisect_kernel_compactIntervals(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00743">bisect.hpp:743</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="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a2a4b8d5d1e1da364345b4846035dde7c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a2a4b8d5d1e1da364345b4846035dde7c">viennacl::linalg::opencl::kernels::generate_bisect_kernel_compactIntervalsShort</a></div><div class="ttdeci">void generate_bisect_kernel_compactIntervalsShort(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00783">bisect.hpp:783</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_abc6b25fb3693f18d024c5a1615852428"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#abc6b25fb3693f18d024c5a1615852428">viennacl::linalg::opencl::kernels::generate_bisect_kernel_storeIntervalConvergedShort</a></div><div class="ttdeci">void generate_bisect_kernel_storeIntervalConvergedShort(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00890">bisect.hpp:890</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="linalg_2opencl_2common_8hpp_html"><div class="ttname"><a href="linalg_2opencl_2common_8hpp.html">common.hpp</a></div><div class="ttdoc">Common implementations shared by OpenCL-based operations. </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="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_af493d04690d488d12a9e8b5b671bfce2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#af493d04690d488d12a9e8b5b671bfce2">viennacl::linalg::opencl::kernels::generate_bisect_kernel_createIndicesCompaction</a></div><div class="ttdeci">void generate_bisect_kernel_createIndicesCompaction(StringType &amp;source)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00604">bisect.hpp:604</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel_html_aa1828c35426f5bc0e0a6362485b3abd5"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html#aa1828c35426f5bc0e0a6362485b3abd5">viennacl::linalg::opencl::kernels::bisect_kernel::program_name</a></div><div class="ttdeci">static std::string program_name()</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l02568">bisect.hpp:2568</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="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a930bf5582d6407ead9532a49a51714be"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a930bf5582d6407ead9532a49a51714be">viennacl::linalg::opencl::kernels::generate_bisect_kernel_ceilPow2</a></div><div class="ttdeci">void generate_bisect_kernel_ceilPow2(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00099">bisect.hpp:99</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a26f080eb7ea68f015e49a438fc379234"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a26f080eb7ea68f015e49a438fc379234">viennacl::linalg::opencl::kernels::generate_bisect_kernel_scanCompactBlocksStartAddress</a></div><div class="ttdeci">void generate_bisect_kernel_scanCompactBlocksStartAddress(StringType &amp;source)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01887">bisect.hpp:1887</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_ae8638f026e01f96697536552db93212f"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ae8638f026e01f96697536552db93212f">viennacl::linalg::opencl::kernels::generate_bisect_kernel_computeNumSmallerEigenvalsLarge</a></div><div class="ttdeci">void generate_bisect_kernel_computeNumSmallerEigenvalsLarge(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00367">bisect.hpp:367</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a71b55d82d86e52a36f7a980e1e1cb60f"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a71b55d82d86e52a36f7a980e1e1cb60f">viennacl::linalg::opencl::kernels::generate_bisect_kernel_computeMidpoint</a></div><div class="ttdeci">void generate_bisect_kernel_computeMidpoint(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00133">bisect.hpp:133</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_aad695fe296aa9e3b6a0dc4c472ad0cd3"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aad695fe296aa9e3b6a0dc4c472ad0cd3">viennacl::linalg::opencl::kernels::generate_bisect_kernel_storeNonEmptyIntervals</a></div><div class="ttdeci">void generate_bisect_kernel_storeNonEmptyIntervals(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00456">bisect.hpp:456</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a5dda99b34ad4350282b37e516ad43d90"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a5dda99b34ad4350282b37e516ad43d90">viennacl::linalg::opencl::kernels::generate_bisect_kernel_config</a></div><div class="ttdeci">void generate_bisect_kernel_config(StringType &amp;source)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00050">bisect.hpp:50</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a364186fe09148b1b12c83a472f19d745"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a364186fe09148b1b12c83a472f19d745">viennacl::linalg::opencl::kernels::generate_bisect_kernel_subdivideActiveIntervalShort</a></div><div class="ttdeci">void generate_bisect_kernel_subdivideActiveIntervalShort(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01023">bisect.hpp:1023</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_acd7b8f4a45a0a33a994c89589efd9cf0"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#acd7b8f4a45a0a33a994c89589efd9cf0">viennacl::linalg::opencl::kernels::generate_bisect_kernel_computeNumSmallerEigenvals</a></div><div class="ttdeci">void generate_bisect_kernel_computeNumSmallerEigenvals(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00295">bisect.hpp:295</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_aff62149c62908e2fa37bfbf85a4a5cdf"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#aff62149c62908e2fa37bfbf85a4a5cdf">viennacl::linalg::opencl::kernels::generate_bisect_kernel_storeIntervalShort</a></div><div class="ttdeci">void generate_bisect_kernel_storeIntervalShort(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00228">bisect.hpp:228</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_ab8b686504d2dc5d3936226fe6ab4e3f4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#ab8b686504d2dc5d3936226fe6ab4e3f4">viennacl::linalg::opencl::kernels::generate_bisect_kernel_scanSumBlocks</a></div><div class="ttdeci">void generate_bisect_kernel_scanSumBlocks(StringType &amp;source)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01966">bisect.hpp:1966</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a49cc986d68fd621ccf5d358d8ebf3faf"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a49cc986d68fd621ccf5d358d8ebf3faf">viennacl::linalg::opencl::kernels::generate_bisect_kernel_scanInitial</a></div><div class="ttdeci">void generate_bisect_kernel_scanInitial(StringType &amp;source)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l02042">bisect.hpp:2042</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a1caa05ae768ebecd644418202f23cb3b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a1caa05ae768ebecd644418202f23cb3b">viennacl::linalg::opencl::kernels::generate_bisect_kernel_storeNonEmptyIntervalsLarge</a></div><div class="ttdeci">void generate_bisect_kernel_storeNonEmptyIntervalsLarge(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00531">bisect.hpp:531</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_a567689e2cd00785a357a79c9f38eab65"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a567689e2cd00785a357a79c9f38eab65">viennacl::linalg::opencl::kernels::generate_bisect_kernel_storeInterval</a></div><div class="ttdeci">void generate_bisect_kernel_storeInterval(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00178">bisect.hpp:178</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1bisect__kernel.html">viennacl::linalg::opencl::kernels::bisect_kernel</a></div><div class="ttdoc">Main kernel class for the generation of the bisection kernels and utilities. </div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l02566">bisect.hpp:2566</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a48bea4f56f9bc4d20db56ab72fb31238"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a48bea4f56f9bc4d20db56ab72fb31238">viennacl::linalg::opencl::kernels::generate_bisect_kernel_bisectKernelLarge_OneIntervals</a></div><div class="ttdeci">void generate_bisect_kernel_bisectKernelLarge_OneIntervals(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l01555">bisect.hpp:1555</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels_html_a3bf5e9e8c82f0301f0866dce841a8118"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1kernels.html#a3bf5e9e8c82f0301f0866dce841a8118">viennacl::linalg::opencl::kernels::generate_bisect_kernel_storeIntervalConverged</a></div><div class="ttdeci">void generate_bisect_kernel_storeIntervalConverged(StringType &amp;source, std::string const &amp;numeric_string)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2bisect_8hpp_source.html#l00822">bisect.hpp:822</a></div></div>
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