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<div class="title">direct_solve.cpp</div> </div>
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<a href="direct__solve_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="l00019"></a><span class="lineno"> 19</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">* Benchmark: Direct solve matrix-matrix and matrix-vecotor</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">*</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix__proxy_8hpp.html">viennacl/matrix_proxy.hpp</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="norm__2_8hpp.html">viennacl/linalg/norm_2.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="direct__solve_8hpp.html">viennacl/linalg/direct_solve.hpp</a>"</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="random_8hpp.html">viennacl/tools/random.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="timer_8hpp.html">viennacl/tools/timer.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#adb0225facf93cb5236fe7a5c0bf50f18"> 36</a></span> <span class="preprocessor">#define BENCHMARK_RUNS 10</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"> 38</span> </div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#adec2672386c4eb7d3237505be5cdfb8b"> 39</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="direct__solve_8cpp.html#adec2672386c4eb7d3237505be5cdfb8b">printOps</a>(<span class="keywordtype">double</span> num_ops, <span class="keywordtype">double</span> exec_time)</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  std::cout << <span class="stringliteral">"GFLOPs: "</span> << num_ops / (1000000 * exec_time * 1000) << std::endl;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> }</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</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="l00046"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#aabc64c16d2e1b298f71fb50d4ce3415b"> 46</a></span> <span class="keywordtype">void</span> <a class="code" href="direct__solve_8cpp.html#aabc64c16d2e1b298f71fb50d4ce3415b">fill_matrix</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT></a> & mat)</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="classviennacl_1_1tools_1_1uniform__random__numbers.html">viennacl::tools::uniform_random_numbers<NumericT></a> randomNumber;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < mat.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); ++i)</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < mat.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>(); ++j)</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  mat(i, j) = <span class="keyword">static_cast<</span><a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a><span class="keyword">></span>(-0.5) * randomNumber();</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  mat(i, i) = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0) + <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(2.0) * randomNumber(); <span class="comment">//some extra weight on diagonal for stability</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> }</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="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#a33980228e5f215fd71462379cd1211b9"> 59</a></span> <span class="keywordtype">void</span> <a class="code" href="direct__solve_8cpp.html#a33980228e5f215fd71462379cd1211b9">fill_vector</a>(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> & vec)</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>  <a class="code" href="classviennacl_1_1tools_1_1uniform__random__numbers.html">viennacl::tools::uniform_random_numbers<NumericT></a> randomNumber;</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="keywordflow">for</span> (std::size_t i = 0; i < vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(); ++i)</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  vec(i) = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0) + <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(2.0) * randomNumber(); <span class="comment">//some extra weight on diagonal for stability</span></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> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT,<span class="keyword">typename</span> MatrixT1, <span class="keyword">typename</span> MatrixT2,<span class="keyword">typename</span> MatrixT3, <span class="keyword">typename</span> SolverTag></div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#a76c117307d545decb2480596430b8ed0"> 68</a></span> <span class="keywordtype">void</span> <a class="code" href="direct__solve_8cpp.html#a76c117307d545decb2480596430b8ed0">run_solver_matrix</a>(MatrixT1 <span class="keyword">const</span> & matrix1, MatrixT2 <span class="keyword">const</span> & matrix2,MatrixT3 & result, SolverTag)</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>  std::cout << <span class="stringliteral">"------- Solver tag: "</span> <<SolverTag::name()<<<span class="stringliteral">" ----------"</span> << std::endl;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(matrix1, matrix2, SolverTag());</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>  <a class="code" href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a> timer;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a>();</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> runs=0; runs<<a class="code" href="direct__solve_8cpp.html#adb0225facf93cb5236fe7a5c0bf50f18">BENCHMARK_RUNS</a>; ++runs)</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(matrix1, matrix2, SolverTag());</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>  <span class="keywordtype">double</span> exec_time = timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">get</a>();</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a>();</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  std::cout << <span class="stringliteral">"GPU: "</span>;<a class="code" href="direct__solve_8cpp.html#adec2672386c4eb7d3237505be5cdfb8b">printOps</a>(<span class="keywordtype">double</span>(matrix1.size1() * matrix1.size1() * matrix2.size2()),(static_cast<double>(exec_time) / <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code" href="direct__solve_8cpp.html#adb0225facf93cb5236fe7a5c0bf50f18">BENCHMARK_RUNS</a>)));</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  std::cout << <span class="stringliteral">"GPU: "</span> << double(matrix1.size1() * matrix1.size1() * matrix2.size2() * <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)) / (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(exec_time) / static_cast<double>(BENCHMARK_RUNS)) / 1e9 << <span class="stringliteral">" GB/sec"</span> << std::endl;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  std::cout << <span class="stringliteral">"Execution time: "</span> << exec_time/BENCHMARK_RUNS << std::endl;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  std::cout << <span class="stringliteral">"------- Finnished: "</span> << SolverTag::name() << <span class="stringliteral">" ----------"</span> << std::endl;</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="l00088"></a><span class="lineno"> 88</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT,<span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> VectorT2,<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> SolverTag></div>
<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#ad8c59b30c7fc4da98b394ebe66097547"> 89</a></span> <span class="keywordtype">void</span> <a class="code" href="direct__solve_8cpp.html#ad8c59b30c7fc4da98b394ebe66097547">run_solver_vector</a>(MatrixT <span class="keyword">const</span> & matrix, VectorT2 <span class="keyword">const</span> & vector2,VectorT & result, SolverTag)</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  std::cout << <span class="stringliteral">"------- Solver tag: "</span> <<SolverTag::name()<<<span class="stringliteral">" ----------"</span> << std::endl;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(matrix, vector2, SolverTag());</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a> timer;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</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>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> runs=0; runs<<a class="code" href="direct__solve_8cpp.html#adb0225facf93cb5236fe7a5c0bf50f18">BENCHMARK_RUNS</a>; ++runs)</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(matrix, vector2, SolverTag());</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  }</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">double</span> exec_time = timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">get</a>();</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a>();</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  std::cout << <span class="stringliteral">"GPU: "</span>;<a class="code" href="direct__solve_8cpp.html#adec2672386c4eb7d3237505be5cdfb8b">printOps</a>(<span class="keywordtype">double</span>(matrix.size1() * matrix.size1()),(static_cast<double>(exec_time) / <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code" href="direct__solve_8cpp.html#adb0225facf93cb5236fe7a5c0bf50f18">BENCHMARK_RUNS</a>)));</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  std::cout << <span class="stringliteral">"GPU: "</span><< double(matrix.size1() * matrix.size1() * <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)) / (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(exec_time) / static_cast<double>(BENCHMARK_RUNS)) / 1e9 << <span class="stringliteral">" GB/sec"</span> << std::endl;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  std::cout << <span class="stringliteral">"Execution time: "</span> << exec_time/BENCHMARK_RUNS << std::endl;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  std::cout << <span class="stringliteral">"------- Finished: "</span> << SolverTag::name() << <span class="stringliteral">" ----------"</span> << std::endl;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</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="keyword">template</span><<span class="keyword">typename</span> NumericT,<span class="keyword">typename</span> F_A, <span class="keyword">typename</span> F_B></div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#aa65d2e04f3d59333c77d100f1a63c629"> 111</a></span> <span class="keywordtype">void</span> <a class="code" href="direct__solve_8cpp.html#aa65d2e04f3d59333c77d100f1a63c629">run_benchmark</a>()</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  std::size_t matrix_size = 1500; <span class="comment">//some odd number, not too large</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  std::size_t rhs_num = 153;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, F_A></a> vcl_A(matrix_size, matrix_size);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, F_B></a> vcl_B(matrix_size, rhs_num);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, F_B></a> result(matrix_size, rhs_num);</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>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> vcl_vec_B(matrix_size);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> vcl_vec_result(matrix_size);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="direct__solve_8cpp.html#aabc64c16d2e1b298f71fb50d4ce3415b">fill_matrix</a>(vcl_A);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="direct__solve_8cpp.html#aabc64c16d2e1b298f71fb50d4ce3415b">fill_matrix</a>(vcl_B);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="direct__solve_8cpp.html#a33980228e5f215fd71462379cd1211b9">fill_vector</a>(vcl_vec_B);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  std::cout << <span class="stringliteral">"------- Solve Matrix-Matrix: ----------\n"</span> << std::endl;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  run_solver_matrix<NumericT>(vcl_A,vcl_B,result,<a class="code" href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a>());</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  run_solver_matrix<NumericT>(vcl_A,vcl_B,result,<a class="code" href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a>());</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  run_solver_matrix<NumericT>(vcl_A,vcl_B,result,<a class="code" href="structviennacl_1_1linalg_1_1upper__tag.html">viennacl::linalg::upper_tag</a>());</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  run_solver_matrix<NumericT>(vcl_A,vcl_B,result,<a class="code" href="structviennacl_1_1linalg_1_1unit__upper__tag.html">viennacl::linalg::unit_upper_tag</a>());</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  std::cout << <span class="stringliteral">"------- End Matrix-Matrix: ----------\n"</span> << std::endl;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  std::cout << <span class="stringliteral">"------- Solve Matrix-Vector: ----------\n"</span> << std::endl;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  run_solver_vector<NumericT>(vcl_A,vcl_vec_B,vcl_vec_result,<a class="code" href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a>());</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  run_solver_vector<NumericT>(vcl_A,vcl_vec_B,vcl_vec_result,<a class="code" href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a>());</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  run_solver_vector<NumericT>(vcl_A,vcl_vec_B,vcl_vec_result,<a class="code" href="structviennacl_1_1linalg_1_1upper__tag.html">viennacl::linalg::upper_tag</a>());</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  run_solver_vector<NumericT>(vcl_A,vcl_vec_B,vcl_vec_result,<a class="code" href="structviennacl_1_1linalg_1_1unit__upper__tag.html">viennacl::linalg::unit_upper_tag</a>());</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  std::cout << <span class="stringliteral">"------- End Matrix-Vector: ----------\n"</span> << std::endl;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="direct__solve_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 142</a></span> <span class="keywordtype">int</span> <a class="code" href="direct__solve_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> {</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  std::cout << <span class="stringliteral">" Device Info"</span> << std::endl;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENCL</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  std::cout << <a class="code" href="namespaceviennacl_1_1ocl.html#ac54d59a74deaccec81f64e738b856348">viennacl::ocl::current_device</a>().<a class="code" href="classviennacl_1_1ocl_1_1device.html#a26a424782f982725453808a94763bd19">info</a>() << std::endl;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  std::cout << <span class="stringliteral">"## Benchmark :: Direct solve"</span> << std::endl;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::cout << <span class="stringliteral">" -------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  std::cout << <span class="stringliteral">" # benchmarking single-precision"</span> << std::endl;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  std::cout << <span class="stringliteral">" -------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  run_benchmark<float,viennacl::row_major,viennacl::row_major>();</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENCL</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">if</span> ( <a class="code" href="namespaceviennacl_1_1ocl.html#ac54d59a74deaccec81f64e738b856348">viennacl::ocl::current_device</a>().<a class="code" href="classviennacl_1_1ocl_1_1device.html#a5182025f56c76de6770e26b14165b00a">double_support</a>() )</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> #endif</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  {</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  std::cout << <span class="stringliteral">" -------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  std::cout << <span class="stringliteral">" # benchmarking double-precision"</span> << std::endl;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  std::cout << <span class="stringliteral">" -------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  run_benchmark<double,viennacl::row_major,viennacl::row_major>();</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  }</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> }</div>
<div class="ttc" id="classviennacl_1_1tools_1_1timer_html"><div class="ttname"><a href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a></div><div class="ttdoc">Simple timer class based on gettimeofday (POSIX) or QueryPerformanceCounter (Windows). </div><div class="ttdef"><b>Definition:</b> <a href="timer_8hpp_source.html#l00090">timer.hpp:90</a></div></div>
<div class="ttc" id="direct__solve_8cpp_html_ad8c59b30c7fc4da98b394ebe66097547"><div class="ttname"><a href="direct__solve_8cpp.html#ad8c59b30c7fc4da98b394ebe66097547">run_solver_vector</a></div><div class="ttdeci">void run_solver_vector(MatrixT const &matrix, VectorT2 const &vector2, VectorT &result, SolverTag)</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00089">direct_solve.cpp:89</a></div></div>
<div class="ttc" id="norm__2_8hpp_html"><div class="ttname"><a href="norm__2_8hpp.html">norm_2.hpp</a></div><div class="ttdoc">Generic interface for the l^2-norm. See viennacl/linalg/vector_operations.hpp for implementations...</div></div>
<div class="ttc" id="direct__solve_8cpp_html_a76c117307d545decb2480596430b8ed0"><div class="ttname"><a href="direct__solve_8cpp.html#a76c117307d545decb2480596430b8ed0">run_solver_matrix</a></div><div class="ttdeci">void run_solver_matrix(MatrixT1 const &matrix1, MatrixT2 const &matrix2, MatrixT3 &result, SolverTag)</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00068">direct_solve.cpp:68</a></div></div>
<div class="ttc" id="prod_8hpp_html"><div class="ttname"><a href="prod_8hpp.html">prod.hpp</a></div><div class="ttdoc">Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...</div></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="structviennacl_1_1linalg_1_1lower__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a></div><div class="ttdoc">A tag class representing a lower triangular matrix. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00849">forwards.h:849</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1backend_html_a3707340b27c535438e213e3879b0f0a4"><div class="ttname"><a href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a></div><div class="ttdeci">void finish()</div><div class="ttdoc">Synchronizes the execution. finish() will only return after all compute kernels (CUDA, OpenCL) have completed. </div><div class="ttdef"><b>Definition:</b> <a href="memory_8hpp_source.html#l00054">memory.hpp:54</a></div></div>
<div class="ttc" id="direct__solve_8cpp_html_adb0225facf93cb5236fe7a5c0bf50f18"><div class="ttname"><a href="direct__solve_8cpp.html#adb0225facf93cb5236fe7a5c0bf50f18">BENCHMARK_RUNS</a></div><div class="ttdeci">#define BENCHMARK_RUNS</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00036">direct_solve.cpp:36</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix< NumericT ></a></div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_ac54d59a74deaccec81f64e738b856348"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#ac54d59a74deaccec81f64e738b856348">viennacl::ocl::current_device</a></div><div class="ttdeci">viennacl::ocl::device const & current_device()</div><div class="ttdoc">Convenience function for returning the active device in the current context. </div><div class="ttdef"><b>Definition:</b> <a href="backend_8hpp_source.html#l00351">backend.hpp:351</a></div></div>
<div class="ttc" id="direct__solve_8cpp_html_aabc64c16d2e1b298f71fb50d4ce3415b"><div class="ttname"><a href="direct__solve_8cpp.html#aabc64c16d2e1b298f71fb50d4ce3415b">fill_matrix</a></div><div class="ttdeci">void fill_matrix(viennacl::matrix< NumericT > &mat)</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00046">direct_solve.cpp:46</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a6e9b329b64ac782e6a5687ad2fc47a2a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a></div><div class="ttdeci">VectorT solve(MatrixT const &matrix, VectorT const &rhs, bicgstab_tag const &tag, PreconditionerT const &precond)</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00496">bicgstab.hpp:496</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1device_html_a26a424782f982725453808a94763bd19"><div class="ttname"><a href="classviennacl_1_1ocl_1_1device.html#a26a424782f982725453808a94763bd19">viennacl::ocl::device::info</a></div><div class="ttdeci">std::string info(vcl_size_t indent=0, char indent_char= ' ') const </div><div class="ttdoc">Returns an info string with a few properties of the device. Use full_info() to get all details...</div><div class="ttdef"><b>Definition:</b> <a href="device_8hpp_source.html#l00995">device.hpp:995</a></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="classviennacl_1_1tools_1_1uniform__random__numbers_html"><div class="ttname"><a href="classviennacl_1_1tools_1_1uniform__random__numbers.html">viennacl::tools::uniform_random_numbers</a></div><div class="ttdoc">Random number generator for returning uniformly distributed values in the closed interval [0...</div><div class="ttdef"><b>Definition:</b> <a href="random_8hpp_source.html#l00044">random.hpp:44</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1upper__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1upper__tag.html">viennacl::linalg::upper_tag</a></div><div class="ttdoc">A tag class representing an upper triangular matrix. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00854">forwards.h:854</a></div></div>
<div class="ttc" id="direct__solve_8cpp_html_a33980228e5f215fd71462379cd1211b9"><div class="ttname"><a href="direct__solve_8cpp.html#a33980228e5f215fd71462379cd1211b9">fill_vector</a></div><div class="ttdeci">void fill_vector(viennacl::vector< NumericT > &vec)</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00059">direct_solve.cpp:59</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1device_html_a5182025f56c76de6770e26b14165b00a"><div class="ttname"><a href="classviennacl_1_1ocl_1_1device.html#a5182025f56c76de6770e26b14165b00a">viennacl::ocl::device::double_support</a></div><div class="ttdeci">bool double_support() const </div><div class="ttdoc">ViennaCL convenience function: Returns true if the device supports double precision. </div><div class="ttdef"><b>Definition:</b> <a href="device_8hpp_source.html#l00956">device.hpp:956</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a4348766b3b9cb049f7acd6a795272dbe"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">viennacl::matrix_base::size2</a></div><div class="ttdeci">size_type size2() const </div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00226">matrix_def.hpp:226</a></div></div>
<div class="ttc" id="direct__solve_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="direct__solve_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00142">direct_solve.cpp:142</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< NumericT ></a></div></div>
<div class="ttc" id="direct__solve_8cpp_html_adec2672386c4eb7d3237505be5cdfb8b"><div class="ttname"><a href="direct__solve_8cpp.html#adec2672386c4eb7d3237505be5cdfb8b">printOps</a></div><div class="ttdeci">void printOps(double num_ops, double exec_time)</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00039">direct_solve.cpp:39</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a24e4f5fa27a1af5ad47e52a97c065d68"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">viennacl::matrix_base::size1</a></div><div class="ttdeci">size_type size1() const </div><div class="ttdoc">Returns the number of rows. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00224">matrix_def.hpp:224</a></div></div>
<div class="ttc" id="direct__solve_8hpp_html"><div class="ttname"><a href="direct__solve_8hpp.html">direct_solve.hpp</a></div><div class="ttdoc">Implementations of dense direct solvers are found here. </div></div>
<div class="ttc" id="timer_8hpp_html"><div class="ttname"><a href="timer_8hpp.html">timer.hpp</a></div><div class="ttdoc">A simple, yet (mostly) sufficiently accurate timer for benchmarking and profiling. </div></div>
<div class="ttc" id="matrix__proxy_8hpp_html"><div class="ttname"><a href="matrix__proxy_8hpp.html">matrix_proxy.hpp</a></div><div class="ttdoc">Proxy classes for matrices. </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="random_8hpp_html"><div class="ttname"><a href="random_8hpp.html">random.hpp</a></div><div class="ttdoc">A small collection of sequential random number generators. </div></div>
<div class="ttc" id="direct__solve_8cpp_html_aa65d2e04f3d59333c77d100f1a63c629"><div class="ttname"><a href="direct__solve_8cpp.html#aa65d2e04f3d59333c77d100f1a63c629">run_benchmark</a></div><div class="ttdeci">void run_benchmark()</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8cpp_source.html#l00111">direct_solve.cpp:111</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a15c47ae4326098aeaa4ed6b91fc6df9b"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">viennacl::vector_base::size</a></div><div class="ttdeci">size_type size() const </div><div class="ttdoc">Returns the length of the vector (cf. std::vector) </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00118">vector_def.hpp:118</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1unit__lower__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a></div><div class="ttdoc">A tag class representing a lower triangular matrix with unit diagonal. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00859">forwards.h:859</a></div></div>
<div class="ttc" id="classviennacl_1_1tools_1_1timer_html_af44313f16c89e97704c90b1ebcc17bca"><div class="ttname"><a href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">viennacl::tools::timer::get</a></div><div class="ttdeci">double get() const </div><div class="ttdef"><b>Definition:</b> <a href="timer_8hpp_source.html#l00104">timer.hpp:104</a></div></div>
<div class="ttc" id="classviennacl_1_1tools_1_1timer_html_ac3e360cdcecfb05861baa2800e4f2888"><div class="ttname"><a href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">viennacl::tools::timer::start</a></div><div class="ttdeci">void start()</div><div class="ttdef"><b>Definition:</b> <a href="timer_8hpp_source.html#l00097">timer.hpp:97</a></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>
<div class="ttc" id="structviennacl_1_1linalg_1_1unit__upper__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1unit__upper__tag.html">viennacl::linalg::unit_upper_tag</a></div><div class="ttdoc">A tag class representing an upper triangular matrix with unit diagonal. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00864">forwards.h:864</a></div></div>
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