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 <span id="projectnumber">1.7.1</span>
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<div id="projectbrief">Free open-source GPU-accelerated linear algebra and solver library.</div>
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<div class="title">qr.cpp</div> </div>
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<a href="benchmarks_2qr_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"><a class="line" href="benchmarks_2qr_8cpp.html#af9d2311f8dd8c5536101e46f1351df56"> 18</a></span> <span class="preprocessor">#define VIENNACL_WITH_UBLAS</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#ifndef NDEBUG</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="benchmarks_2qr_8cpp.html#a8de3ed741dadc9c979a4ff17c0a9116e"> 20</a></span> <span class="preprocessor"> #define NDEBUG</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <utility></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <stdio.h></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <sys/time.h></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <time.h></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="comment">/*#include "viennacl/scalar.hpp"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">#include "viennacl/matrix.hpp"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">#include "viennacl/compressed_matrix.hpp"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">#include "viennacl/linalg/cg.hpp"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">#include "viennacl/linalg/prod.hpp"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">#include "viennacl/linalg/inner_prod.hpp"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">#include "viennacl/linalg/ilu.hpp"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">#include "viennacl/linalg/norm_2.hpp"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">#include "viennacl/io/matrix_market.hpp"*/</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "<a class="code" href="qr_8hpp.html">viennacl/linalg/qr.hpp</a>"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </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> <span class="comment">//typedef viennacl::compressed_matrix<float> SparseMatrix;</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">using namespace </span>boost::numeric::ublas;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">//using namespace viennacl::linalg;</span></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> </div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="benchmarks_2qr_8cpp.html#ac0f2228420376f4db7e1274f2b41667c"> 53</a></span> <span class="keywordtype">int</span> <a class="code" href="benchmarks_2qr_8cpp.html#ac0f2228420376f4db7e1274f2b41667c">main</a> (<span class="keywordtype">int</span> argc, <span class="keyword">const</span> <span class="keywordtype">char</span> * argv[])</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>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">typedef</span> boost::numeric::ublas::matrix<ScalarType, boost::numeric::ublas::column_major> MatrixType;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">typedef</span> boost::numeric::ublas::vector<ScalarType> VectorType;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a> timer;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordtype">double</span> elapsed;</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>  std::size_t rows = 1800;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  std::size_t cols = 1800;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordtype">double</span> num_ops_qr = 2.0 * cols * cols * (rows - cols/3.0);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">double</span> num_ops_recovery = 4.0 * (rows*rows*cols - rows*cols*cols + cols*cols*cols);</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>  MatrixType A(rows, cols);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  MatrixType Q(rows, rows);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  MatrixType R(rows, cols);</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">for</span> (std::size_t i=0; i<rows; ++i)</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">for</span> (std::size_t j=0; j<cols; ++j)</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>  A(i,j) = 1.0 + (i + 1)*(j+1);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  R(i,j) = 0.0;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<rows; ++j)</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>  Q(i,j) = 0.0;</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> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">//std::cout << "A: " << A << std::endl;</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  std::vector<ScalarType> betas = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa50a771c3604ad3913905871d54176f4">viennacl::linalg::block_qr</a>(A);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">//std::vector<ScalarType> betas = viennacl::linalg::qr(A);</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  elapsed = timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">get</a>();</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  std::cout << <span class="stringliteral">"Time for QR on CPU: "</span> << elapsed << std::endl;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  std::cout << <span class="stringliteral">"Estimated GFLOPs: "</span> << 2e-9 * num_ops_qr/ elapsed << std::endl;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </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="comment">//std::cout << "Inplace QR-factored A: " << A << std::endl;</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>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a76fc8bf8f5a20c576b7ddbad32d3e56d">viennacl::linalg::recoverQ</a>(A, betas, Q, R);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  elapsed = timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">get</a>();</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  std::cout << <span class="stringliteral">"Time for Q-recovery on CPU: "</span> << elapsed << std::endl;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  std::cout << <span class="stringliteral">"Estimated GFLOPs: "</span> << 2e-9 * num_ops_recovery / elapsed << 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="comment">/*std::cout << "R after recovery: " << R << std::endl;</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> std::cout << "Q after recovery: " << Q << std::endl;</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> std::cout << "Q*Q^T: " << prod(Q, trans(Q)) << std::endl;</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"></span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> std::cout << "Q * R: " << prod(Q, R) << std::endl;*/</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="keywordflow">return</span> EXIT_SUCCESS;</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="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="benchmarks_2qr_8cpp_html_ac0f2228420376f4db7e1274f2b41667c"><div class="ttname"><a href="benchmarks_2qr_8cpp.html#ac0f2228420376f4db7e1274f2b41667c">main</a></div><div class="ttdeci">int main(int argc, const char *argv[])</div><div class="ttdef"><b>Definition:</b> <a href="benchmarks_2qr_8cpp_source.html#l00053">qr.cpp:53</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a76fc8bf8f5a20c576b7ddbad32d3e56d"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a76fc8bf8f5a20c576b7ddbad32d3e56d">viennacl::linalg::recoverQ</a></div><div class="ttdeci">void recoverQ(MatrixType const &A, VectorType const &betas, MatrixType &Q, MatrixType &R)</div><div class="ttdef"><b>Definition:</b> <a href="qr_8hpp_source.html#l00564">qr.hpp:564</a></div></div>
<div class="ttc" id="qr_8hpp_html"><div class="ttname"><a href="qr_8hpp.html">qr.hpp</a></div><div class="ttdoc">Provides a QR factorization using a block-based approach. </div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_aa50a771c3604ad3913905871d54176f4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa50a771c3604ad3913905871d54176f4">viennacl::linalg::detail::spai::block_qr</a></div><div class="ttdeci">void block_qr(std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, block_matrix &g_A_I_J_vcl, block_vector &g_bv_vcl, std::vector< cl_uint > &g_is_update, viennacl::context ctx)</div><div class="ttdoc">Inplace QR factorization via Householder reflections c.f. Gene H. Golub, Charles F. Van Loan "Matrix Computations" 3rd edition p.224 performed on GPU. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00428">qr.hpp:428</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>
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