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<div class="title">bisect_kernel_small.hpp</div>  </div>
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<a href="bisect__kernel__small_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_CUDA_BISECT_KERNEL_SMALL_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define VIENNACL_LINALG_CUDA_BISECT_KERNEL_SMALL_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="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">// includes, project</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="config_8hpp.html">viennacl/linalg/detail/bisect/config.hpp</a>&quot;</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="linalg_2detail_2bisect_2util_8hpp.html">viennacl/linalg/detail/bisect/util.hpp</a>&quot;</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">// additional kernel</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="bisect__util_8hpp.html">viennacl/linalg/cuda/bisect_util.hpp</a>&quot;</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;{</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;{</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keyword">namespace </span>cuda</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;{</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> NumericT&gt;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;__global__</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="keywordtype">void</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1cuda.html#ae1ae935d24431741a0bde81526ff1e03">   61</a></span>&#160;<a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#ae1ae935d24431741a0bde81526ff1e03">bisectKernelSmall</a>(<span class="keyword">const</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> *g_d, <span class="keyword">const</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> *g_s, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> n,</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;             <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> * g_left, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> *g_right,</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;             <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *g_left_count, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *g_right_count,</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;             <span class="keyword">const</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> lg, <span class="keyword">const</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> ug,</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;             <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> lg_eig_count, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ug_eig_count,</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;             <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> epsilon</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;{</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="comment">// intervals (store left and right because the subdivision tree is in general</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="comment">// not dense</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    __shared__  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>  s_left[<a class="code" href="config_8hpp.html#a62bb16be6604cdcfdf2e6e9026876cc7">VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</a>];</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    __shared__  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>  s_right[<a class="code" href="config_8hpp.html#a62bb16be6604cdcfdf2e6e9026876cc7">VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</a>];</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="comment">// number of eigenvalues that are smaller than s_left / s_right</span></div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <span class="comment">// (correspondence is realized via indices)</span></div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>  s_left_count[<a class="code" href="config_8hpp.html#a62bb16be6604cdcfdf2e6e9026876cc7">VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</a>];</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>  s_right_count[<a class="code" href="config_8hpp.html#a62bb16be6604cdcfdf2e6e9026876cc7">VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</a>];</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">// helper for stream compaction</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span></div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    s_compaction_list[<a class="code" href="config_8hpp.html#a62bb16be6604cdcfdf2e6e9026876cc7">VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</a> + 1];</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="comment">// state variables for whole block</span></div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</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="l00085"></a><span class="lineno">   85</span>&#160;    <span class="comment">// (because all intervals had exactly one non-dead child)</span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> compact_second_chunk;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> all_threads_converged;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <span class="comment">// number of currently active threads</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> num_threads_active;</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;    <span class="comment">// number of threads to use for stream compaction</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    __shared__  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> num_threads_compaction;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="comment">// helper for exclusive scan</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *s_compaction_list_exc = s_compaction_list + 1;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="comment">// variables for currently processed interval</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    <span class="comment">// left and right limit of active interval</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>  left = 0.0f;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>  right = 0.0f;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> left_count = 0;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> right_count = 0;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="comment">// midpoint of active interval</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>  mid = 0.0f;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="comment">// number of eigenvalues smaller then mid</span></div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> mid_count = 0;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    <span class="comment">// affected from compaction</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>  is_active_second = 0;</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;    s_compaction_list[threadIdx.x] = 0;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    s_left[threadIdx.x] = 0;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    s_right[threadIdx.x] = 0;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    s_left_count[threadIdx.x] = 0;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    s_right_count[threadIdx.x] = 0;</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;    __syncthreads();</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="comment">// set up initial configuration</span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keywordflow">if</span> (0 == threadIdx.x)</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;        s_left[0] = lg;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        s_right[0] = ug;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        s_left_count[0] = lg_eig_count;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        s_right_count[0] = ug_eig_count;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        compact_second_chunk = 0;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        num_threads_active = 1;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        num_threads_compaction = 1;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    <span class="comment">// for all active threads read intervals from the last level</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</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="l00136"></a><span class="lineno">  136</span>&#160;    <span class="keywordflow">while</span> (<span class="keyword">true</span>)</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    {</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        all_threads_converged = 1;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        __syncthreads();</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        is_active_second = 0;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#ad7ca33ef6ba189bd07de41dccce1ce61">subdivideActiveIntervalMulti</a>(threadIdx.x,</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                                s_left, s_right, s_left_count, s_right_count,</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                                num_threads_active,</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                                left, right, left_count, right_count,</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                                mid, all_threads_converged);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        __syncthreads();</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="comment">// check if done</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        <span class="keywordflow">if</span> (1 == all_threads_converged)</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        {</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            <span class="keywordflow">break</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;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        __syncthreads();</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;        <span class="comment">// compute number of eigenvalues smaller than mid</span></div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        <span class="comment">// use all threads for reading the necessary matrix data from global</span></div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        <span class="comment">// memory</span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        <span class="comment">// use s_left and s_right as scratch space for diagonal and</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        <span class="comment">// superdiagonal of matrix</span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        mid_count = <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#ab24a81a05b199c53894e2dcc6f9b54fa">computeNumSmallerEigenvals</a>(g_d, g_s, n, mid,</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                                               threadIdx.x, num_threads_active,</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                                               s_left, s_right,</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                                               (left == right));</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        __syncthreads();</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        <span class="comment">// store intervals</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</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="l00173"></a><span class="lineno">  173</span>&#160;        <span class="comment">// memory, and the second child interval -- if it exists -- in a second</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <span class="comment">// chunk; it is likely that all threads reach convergence up to</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        <span class="comment">// \a epsilon at the same level; furthermore, for higher level most / all</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        <span class="comment">// threads will have only one child, storing the first child compactly will</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        <span class="comment">// (first) avoid to perform a compaction step on the first chunk, (second)</span></div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        <span class="comment">// make it for higher levels (when all threads / intervals have</span></div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;        <span class="comment">// exactly one child)  unnecessary to perform a compaction of the second</span></div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="comment">// chunk</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <span class="keywordflow">if</span> (threadIdx.x &lt; num_threads_active)</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        {</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;            <span class="keywordflow">if</span> (left != right)</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;            {</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                <span class="comment">// store intervals</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#ae31db36470d0165a7358dad4853ff492">storeNonEmptyIntervals</a>(threadIdx.x, num_threads_active,</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;                                       s_left, s_right, s_left_count, s_right_count,</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;                                       left, mid, right,</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;                                       left_count, mid_count, right_count,</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;                                       epsilon, compact_second_chunk,</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                                       s_compaction_list_exc,</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;                                       is_active_second);</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            }</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;            {</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;                <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#a63d480d679a9c6380f3c9373c419f962">storeIntervalConverged</a>(s_left, s_right, s_left_count, s_right_count,</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                                       left, mid, right,</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                                       left_count, mid_count, right_count,</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                                       s_compaction_list_exc, compact_second_chunk,</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                                       num_threads_active,</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;                                       is_active_second);</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;        }</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        <span class="comment">// necessary so that compact_second_chunk is up-to-date</span></div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        __syncthreads();</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">// perform compaction of chunk where second children are stored</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        <span class="comment">// scan of (num_threads_active / 2) elements, thus at most</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        <span class="comment">// (num_threads_active / 4) threads are needed</span></div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        <span class="keywordflow">if</span> (compact_second_chunk &gt; 0)</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;        {</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#a66880730e6885754d21e620a9739ade3">createIndicesCompaction</a>(s_compaction_list_exc, num_threads_compaction);</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#a89a2e3afeaf5480586bd14999ec60393">compactIntervals</a>(s_left, s_right, s_left_count, s_right_count,</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;                             mid, right, mid_count, right_count,</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;                             s_compaction_list, num_threads_active,</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;                             is_active_second);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;        }</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;        __syncthreads();</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="keywordflow">if</span> (0 == threadIdx.x)</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;        {</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;            <span class="comment">// update number of active threads with result of reduction</span></div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;            num_threads_active += s_compaction_list[num_threads_active];</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;            num_threads_compaction = <a class="code" href="namespaceviennacl_1_1linalg_1_1cuda.html#a4c8d9251fff091344ae4f64dd6485fe2">ceilPow2</a>(num_threads_active);</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;            compact_second_chunk = 0;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;        }</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;        __syncthreads();</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    }</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    __syncthreads();</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    <span class="comment">// write resulting intervals to global mem</span></div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</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="l00246"></a><span class="lineno">  246</span>&#160;    <span class="comment">// a separate array</span></div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;    <span class="comment">// at most n valid intervals</span></div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;    <span class="keywordflow">if</span> (threadIdx.x &lt; n)</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    {</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">// intervals converged so left and right limit are identical</span></div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        g_left[threadIdx.x]  = s_left[threadIdx.x];</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        <span class="comment">// left count is sufficient to have global order</span></div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        g_left_count[threadIdx.x]  = s_left_count[threadIdx.x];</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;    }</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;}</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;} <span class="comment">// namespace cuda</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;} <span class="comment">// namespace linalg</span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;} <span class="comment">// namespace viennacl</span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="preprocessor">#endif // #ifndef _BISECT_KERNEL_SMALL_H_</span></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_ae1ae935d24431741a0bde81526ff1e03"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#ae1ae935d24431741a0bde81526ff1e03">viennacl::linalg::cuda::bisectKernelSmall</a></div><div class="ttdeci">__global__ void bisectKernelSmall(const NumericT *g_d, const NumericT *g_s, const unsigned int n, NumericT *g_left, NumericT *g_right, unsigned int *g_left_count, unsigned int *g_right_count, const NumericT lg, const NumericT ug, const unsigned int lg_eig_count, const unsigned int ug_eig_count, NumericT epsilon)</div><div class="ttdoc">Bisection to find eigenvalues of a real, symmetric, and tridiagonal matrix. </div><div class="ttdef"><b>Definition:</b> <a href="bisect__kernel__small_8hpp_source.html#l00061">bisect_kernel_small.hpp:61</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_a66880730e6885754d21e620a9739ade3"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#a66880730e6885754d21e620a9739ade3">viennacl::linalg::cuda::createIndicesCompaction</a></div><div class="ttdeci">__device__ void createIndicesCompaction(T *s_compaction_list_exc, unsigned int num_threads_compaction)</div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00373">bisect_util.hpp:373</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_ab24a81a05b199c53894e2dcc6f9b54fa"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#ab24a81a05b199c53894e2dcc6f9b54fa">viennacl::linalg::cuda::computeNumSmallerEigenvals</a></div><div class="ttdeci">__device__ unsigned int computeNumSmallerEigenvals(const NumericT *g_d, const NumericT *g_s, const unsigned int n, const NumericT x, const unsigned int tid, const unsigned int num_intervals_active, NumericT *s_d, NumericT *s_s, unsigned int converged)</div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00177">bisect_util.hpp:177</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_ae31db36470d0165a7358dad4853ff492"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#ae31db36470d0165a7358dad4853ff492">viennacl::linalg::cuda::storeNonEmptyIntervals</a></div><div class="ttdeci">__device__ void storeNonEmptyIntervals(unsigned int addr, const unsigned int num_threads_active, NumericT *s_left, NumericT *s_right, T *s_left_count, T *s_right_count, NumericT left, NumericT mid, NumericT right, const S left_count, const S mid_count, const S right_count, NumericT precision, unsigned int &amp;compact_second_chunk, T *s_compaction_list_exc, unsigned int &amp;is_active_second)</div><div class="ttdoc">Store all non-empty intervals resulting from the subdivision of the interval currently processed by t...</div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00309">bisect_util.hpp:309</a></div></div>
<div class="ttc" id="linalg_2detail_2bisect_2util_8hpp_html"><div class="ttname"><a href="linalg_2detail_2bisect_2util_8hpp.html">util.hpp</a></div><div class="ttdoc">Utility functions. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_a4c8d9251fff091344ae4f64dd6485fe2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#a4c8d9251fff091344ae4f64dd6485fe2">viennacl::linalg::cuda::ceilPow2</a></div><div class="ttdeci">__device__ int ceilPow2(int n)</div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00066">bisect_util.hpp:66</a></div></div>
<div class="ttc" id="bisect__util_8hpp_html"><div class="ttname"><a href="bisect__util_8hpp.html">bisect_util.hpp</a></div></div>
<div class="ttc" id="config_8hpp_html"><div class="ttname"><a href="config_8hpp.html">config.hpp</a></div><div class="ttdoc">Global configuration parameters. </div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_a89a2e3afeaf5480586bd14999ec60393"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#a89a2e3afeaf5480586bd14999ec60393">viennacl::linalg::cuda::compactIntervals</a></div><div class="ttdeci">__device__ void compactIntervals(NumericT *s_left, NumericT *s_right, T *s_left_count, T *s_right_count, NumericT mid, NumericT right, unsigned int mid_count, unsigned int right_count, T *s_compaction_list, unsigned int num_threads_active, unsigned int is_active_second)</div><div class="ttdoc">Perform stream compaction for second child intervals. </div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00440">bisect_util.hpp:440</a></div></div>
<div class="ttc" id="config_8hpp_html_a62bb16be6604cdcfdf2e6e9026876cc7"><div class="ttname"><a href="config_8hpp.html#a62bb16be6604cdcfdf2e6e9026876cc7">VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</a></div><div class="ttdeci">#define VIENNACL_BISECT_MAX_THREADS_BLOCK_SMALL_MATRIX</div><div class="ttdef"><b>Definition:</b> <a href="config_8hpp_source.html#l00038">config.hpp:38</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_ad7ca33ef6ba189bd07de41dccce1ce61"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#ad7ca33ef6ba189bd07de41dccce1ce61">viennacl::linalg::cuda::subdivideActiveIntervalMulti</a></div><div class="ttdeci">__device__ void subdivideActiveIntervalMulti(const unsigned int tid, NumericT *s_left, NumericT *s_right, T *s_left_count, T *s_right_count, const unsigned int num_threads_active, NumericT &amp;left, NumericT &amp;right, unsigned int &amp;left_count, unsigned int &amp;right_count, NumericT &amp;mid, unsigned int &amp;all_threads_converged)</div><div class="ttdoc">Subdivide interval if active and not already converged. </div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00529">bisect_util.hpp:529</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1cuda_html_a63d480d679a9c6380f3c9373c419f962"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1cuda.html#a63d480d679a9c6380f3c9373c419f962">viennacl::linalg::cuda::storeIntervalConverged</a></div><div class="ttdeci">__device__ void storeIntervalConverged(NumericT *s_left, NumericT *s_right, T *s_left_count, T *s_right_count, NumericT &amp;left, NumericT &amp;mid, NumericT &amp;right, S &amp;left_count, S &amp;mid_count, S &amp;right_count, T *s_compaction_list_exc, unsigned int &amp;compact_second_chunk, const unsigned int num_threads_active, unsigned int &amp;is_active_second)</div><div class="ttdef"><b>Definition:</b> <a href="bisect__util_8hpp_source.html#l00465">bisect_util.hpp:465</a></div></div>
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