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<div class="title">bisect.cpp</div> </div>
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<a href="tests_2src_2bisect_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// includes, system</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdlib.h></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <string.h></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// includes, project</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="bisect_8hpp.html">viennacl/linalg/bisect.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="bisect__gpu_8hpp.html">viennacl/linalg/bisect_gpu.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="tql2_8hpp.html">viennacl/linalg/tql2.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae"> 38</a></span> <span class="preprocessor">#define EPS 10.0e-4</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c"> 40</a></span> <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// declaration, forward</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">bool</span> <a class="code" href="tests_2src_2bisect_8cpp.html#adc4051332fbb2e2ed482d04b70e3a9ab">runTest</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> mat_size);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="tests_2src_2bisect_8cpp.html#a4ff9461d32b6b78b32e2615bd0fb5363"> 53</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a4ff9461d32b6b78b32e2615bd0fb5363">initInputData</a>(std::vector<NumericT> &diagonal, std::vector<NumericT> &superdiagonal, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> mat_size)</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  srand(278217421);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor">#define RANDOM_VALUES false</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2bisect_8cpp.html#a429ac4051f4f4f60df33112d161f8ca6">RANDOM_VALUES</a> == <span class="keyword">true</span>)</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// Initialize diagonal and superdiagonal elements with random values</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < mat_size; ++i)</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  diagonal[i] = <span class="keyword">static_cast<</span><a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a><span class="keyword">></span>(2.0 * (((double)rand()</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  / (double) RAND_MAX) - 0.5));</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  superdiagonal[i] = <span class="keyword">static_cast<</span><a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a><span class="keyword">></span>(2.0 * (((double)rand()</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  / (double) RAND_MAX) - 0.5));</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  { </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// Initialize diagonal and superdiagonal elements with modulo values</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="comment">// This will cause in many multiple eigenvalues.</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < mat_size; ++i)</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  diagonal[i] = ((<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)(i % 3)) - 4.5f;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  superdiagonal[i] = ((<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)(i % 3)) - 5.5f;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// the first element of s is used as padding on the device (thus the</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// whole vector is copied to the device but the kernels are launched</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// with (s+1) as start address</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  superdiagonal[0] = 0.0f; </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Program main</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 91</a></span> <span class="comment"></span><span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordtype">bool</span> test_result = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// run test for large matrix</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  test_result = <a class="code" href="tests_2src_2bisect_8cpp.html#adc4051332fbb2e2ed482d04b70e3a9ab">runTest</a>(550);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span>(test_result == <span class="keyword">true</span>)</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  std::cout << <span class="stringliteral">"First Test Succeeded!"</span> << std::endl << std::endl;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  }</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  std::cout << <span class="stringliteral">"---TEST FAILED---"</span> << std::endl;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// run test for small matrix</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  test_result = <a class="code" href="tests_2src_2bisect_8cpp.html#adc4051332fbb2e2ed482d04b70e3a9ab">runTest</a>(96);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">if</span>(test_result == <span class="keyword">true</span>)</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  std::cout << std::endl << <span class="stringliteral">"---TEST SUCCESSFULLY COMPLETED---"</span> << std::endl;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  }</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  std::cout << <span class="stringliteral">"---TEST FAILED---"</span> << std::endl;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  }</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="tests_2src_2bisect_8cpp.html#adc4051332fbb2e2ed482d04b70e3a9ab"> 125</a></span> <span class="keywordtype">bool</span> <a class="code" href="tests_2src_2bisect_8cpp.html#adc4051332fbb2e2ed482d04b70e3a9ab">runTest</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> mat_size)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">bool</span> bResult = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  std::vector<NumericT> diagonal(mat_size);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  std::vector<NumericT> superdiagonal(mat_size);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  std::vector<NumericT> eigenvalues_bisect(mat_size);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// -------------Initialize data-------------------</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// Fill the diagonal and superdiagonal elements of the vector</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a4ff9461d32b6b78b32e2615bd0fb5363">initInputData</a>(diagonal, superdiagonal, mat_size);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// -------Start the bisection algorithm------------</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  std::cout << <span class="stringliteral">"Start the bisection algorithm"</span> << std::endl;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  std::cout << <span class="stringliteral">"Matrix size: "</span> << mat_size << std::endl;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  bResult = <a class="code" href="namespaceviennacl_1_1linalg.html#a54d70c731aed90556e228b7f14ac3a52">viennacl::linalg::bisect</a>(diagonal, superdiagonal, eigenvalues_bisect);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="comment">// Exit if an error occured during the execution of the algorithm</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">if</span> (bResult == <span class="keyword">false</span>)</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// ---------------Check the results---------------</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// The results of the bisection algorithm will be checked with the tql algorithm</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="comment">// Initialize Data for tql1 algorithm</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  std::vector<NumericT> diagonal_tql(mat_size);</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  std::vector<NumericT> superdiagonal_tql(mat_size);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  diagonal_tql = diagonal;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  superdiagonal_tql = superdiagonal;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="comment">// Start the tql algorithm</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  std::cout << <span class="stringliteral">"Start the tql algorithm..."</span> << std::endl;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  viennacl::linalg::tql1<NumericT>(mat_size, diagonal_tql, superdiagonal_tql);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="comment">// Ensure that eigenvalues from tql1 algorithm are sorted in ascending order</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::sort(diagonal_tql.begin(), diagonal_tql.end());</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="comment">// Compare the results from the bisection algorithm with the results</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// from the tql algorithm.</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  std::cout << <span class="stringliteral">"Start comparison..."</span> << std::endl;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < mat_size; i++)</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  {</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">if</span> (std::abs(diagonal_tql[i] - eigenvalues_bisect[i]) > <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  {</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  std::cout << std::setprecision(12) << diagonal_tql[i] << <span class="stringliteral">" != "</span> << eigenvalues_bisect[i] << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  }</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> // ------------Print the results---------------</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> std::cout << "mat_size = " << mat_size << std::endl;</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> for (unsigned int i = 0; i < mat_size; ++i)</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="comment"> {</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment"> std::cout << "Eigenvalue " << i << ": \tbisect: " << std::setprecision(14) << eigenvalues_bisect[i] << "\ttql: " << diagonal_tql[i] << std::endl;</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment"> }</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">return</span> bResult;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> }</div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a6ebf6899d6c1c8b7b9d09be872c05aae"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a></div><div class="ttdeci">#define EPS</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00038">bisect.cpp:38</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00091">bisect.cpp:91</a></div></div>
<div class="ttc" id="tql2_8hpp_html"><div class="ttname"><a href="tql2_8hpp.html">tql2.hpp</a></div><div class="ttdoc">Implementation of the tql2-algorithm for eigenvalue computations. </div></div>
<div class="ttc" id="bisect__gpu_8hpp_html"><div class="ttname"><a href="bisect__gpu_8hpp.html">bisect_gpu.hpp</a></div><div class="ttdoc">Implementation of an bisection algorithm for eigenvalues. </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_html_a54d70c731aed90556e228b7f14ac3a52"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a54d70c731aed90556e228b7f14ac3a52">viennacl::linalg::bisect</a></div><div class="ttdeci">std::vector< typename viennacl::result_of::cpu_value_type< typename VectorT::value_type >::type > bisect(VectorT const &alphas, VectorT const &betas)</div><div class="ttdoc">Implementation of the bisect-algorithm for the calculation of the eigenvalues of a tridiagonal matrix...</div><div class="ttdef"><b>Definition:</b> <a href="bisect_8hpp_source.html#l00078">bisect.hpp:78</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_adc4051332fbb2e2ed482d04b70e3a9ab"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#adc4051332fbb2e2ed482d04b70e3a9ab">runTest</a></div><div class="ttdeci">bool runTest(unsigned int mat_size)</div><div class="ttdoc">Run a simple test. </div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00125">bisect.cpp:125</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a4ff9461d32b6b78b32e2615bd0fb5363"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a4ff9461d32b6b78b32e2615bd0fb5363">initInputData</a></div><div class="ttdeci">void initInputData(std::vector< NumericT > &diagonal, std::vector< NumericT > &superdiagonal, unsigned int mat_size)</div><div class="ttdoc">initInputData Initialize the diagonal and superdiagonal elements of the matrix </div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00053">bisect.cpp:53</a></div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a429ac4051f4f4f60df33112d161f8ca6"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a429ac4051f4f4f60df33112d161f8ca6">RANDOM_VALUES</a></div><div class="ttdeci">#define RANDOM_VALUES</div></div>
<div class="ttc" id="bisect_8hpp_html"><div class="ttname"><a href="bisect_8hpp.html">bisect.hpp</a></div><div class="ttdoc">Implementation of the algorithm for finding eigenvalues of a tridiagonal matrix. </div></div>
<div class="ttc" id="scalar_8hpp_html"><div class="ttname"><a href="scalar_8hpp.html">scalar.hpp</a></div><div class="ttdoc">Implementation of the ViennaCL scalar class. </div></div>
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