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<div class="title">bisect.cpp</div> </div>
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<a href="examples_2tutorial_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="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// System headers</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdlib.h></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <stdio.h></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <string.h></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> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// ViennaCL headers</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> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="bisect__gpu_8hpp.html">viennacl/linalg/bisect_gpu.hpp</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</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"> 40</span> </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</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="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> mat_size)</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> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  srand(278217421);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordtype">bool</span> randomValues = <span class="keyword">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> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span>(randomValues == <span class="keyword">true</span>)</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// Initialize diagonal and superdiagonal elements with random values</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</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="l00065"></a><span class="lineno"> 65</span>  {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</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="l00067"></a><span class="lineno"> 67</span>  / (double) RAND_MAX) - 0.5));</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</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="l00069"></a><span class="lineno"> 69</span>  / (double) RAND_MAX) - 0.5));</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>  }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// Initialize diagonal and superdiagonal elements with modulo values</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// This will cause in many multiple eigenvalues.</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</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="l00078"></a><span class="lineno"> 78</span>  {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  diagonal[i] = ((<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)(i % 8)) - 4.5f;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  superdiagonal[i] = ((<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)(i % 5)) - 4.5f;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</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="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// whole vector is copied to the device but the kernels are launched</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// with (s+1) as start address</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  superdiagonal[0] = 0.0f;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</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="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="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordtype">bool</span> bResult = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> mat_size = 30;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  std::vector<NumericT> diagonal(mat_size);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  std::vector<NumericT> superdiagonal(mat_size);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  std::vector<NumericT> eigenvalues_bisect(mat_size);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a4ff9461d32b6b78b32e2615bd0fb5363">initInputData</a>(diagonal, superdiagonal, mat_size);</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> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  std::cout << <span class="stringliteral">"Start the bisection algorithm"</span> << std::endl;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</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="l00118"></a><span class="lineno"> 118</span>  std::cout << std::endl << <span class="stringliteral">"---TUTORIAL COMPLETED---"</span> << std::endl;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> // ------------Print the results---------------</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> std::cout << "mat_size = " << mat_size << std::endl;</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> for (unsigned int i = 0; i < mat_size; ++i)</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> {</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> std::cout << "Eigenvalue " << i << ": " << std::setprecision(8) << eigenvalues_bisect[i] << std::endl;</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> }</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  exit(bResult == <span class="keyword">true</span> ? EXIT_SUCCESS : EXIT_FAILURE);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="ttc" id="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </div></div>
<div class="ttc" id="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="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_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="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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