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<div class="title">spai.cpp</div> </div>
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<a href="spai_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="l00027"></a><span class="lineno"> 27</span> <span class="comment">// enable Boost.uBLAS support</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#define VIENNACL_WITH_UBLAS</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">#ifndef NDEBUG</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor"> #define BOOST_UBLAS_NDEBUG</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#endif</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="comment">// System headers:</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include <utility></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include <stdio.h></span></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> <span class="comment">// ViennaCL headers:</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "<a class="code" href="compressed__matrix_8hpp.html">viennacl/compressed_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "<a class="code" href="inner__prod_8hpp.html">viennacl/linalg/inner_prod.hpp</a>"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</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="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#include "<a class="code" href="matrix__market_8hpp.html">viennacl/io/matrix_market.hpp</a>"</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#include "<a class="code" href="spai_8hpp.html">viennacl/linalg/spai.hpp</a>"</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> <span class="comment">// Boost headers:</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</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="comment">// auxiliary functionality:</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor">#include "<a class="code" href="vector-io_8hpp.html">vector-io.hpp</a>"</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> SolverTagT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="keywordtype">void</span> <a class="code" href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a>(MatrixT <span class="keyword">const</span> & A, VectorT <span class="keyword">const</span> & b, SolverTagT <span class="keyword">const</span> & solver_tag, PreconditionerT <span class="keyword">const</span> & precond)</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>  VectorT result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(A, b, solver_tag, precond);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  std::cout << <span class="stringliteral">" * Solver iterations: "</span> << solver_tag.iters() << std::endl;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  VectorT residual = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A, result);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  residual -= b;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  std::cout << <span class="stringliteral">" * Rel. Residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(b) << std::endl;</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> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> (<span class="keywordtype">int</span>, <span class="keyword">const</span> <span class="keywordtype">char</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>  <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="l00090"></a><span class="lineno"> 90</span>  <span class="keyword">typedef</span> boost::numeric::ublas::compressed_matrix<ScalarType> MatrixType;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keyword">typedef</span> boost::numeric::ublas::vector<ScalarType> VectorType;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType></a> GPUMatrixType;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> GPUVectorType;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENCL</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// Optional: Customize OpenCL backend</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="classviennacl_1_1ocl_1_1platform.html">viennacl::ocl::platform</a> pf = <a class="code" href="namespaceviennacl_1_1ocl.html#ae1e931f6efd155240b33ca440dfcfef5">viennacl::ocl::get_platforms</a>()[0];</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  std::vector<viennacl::ocl::device> <span class="keyword">const</span> & devices = pf.<a class="code" href="classviennacl_1_1ocl_1_1platform.html#afaa563522ebe9ce7b80ef02c40e7fe31">devices</a>();</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>  <span class="comment">// Optional: Set first device to first context:</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#add1725d48cfd159ce187e287369d1cdb">viennacl::ocl::setup_context</a>(0, devices[0]);</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>  <span class="comment">// Optional: Set second device for second context (use the same device for the second context if only one device available):</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">if</span> (devices.size() > 1)</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#add1725d48cfd159ce187e287369d1cdb">viennacl::ocl::setup_context</a>(1, devices[1]);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#add1725d48cfd159ce187e287369d1cdb">viennacl::ocl::setup_context</a>(1, devices[0]);</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 << <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="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx(<a class="code" href="namespaceviennacl_1_1ocl.html#a82c1aba632a7ee0991eee480d5340966">viennacl::ocl::get_context</a>(1));</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  MatrixType M;</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>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceviennacl_1_1io.html#ad934125ed3dbe661e264bcd7d62b1048">viennacl::io::read_matrix_market_file</a>(M, <span class="stringliteral">"../examples/testdata/mat65k.mtx"</span>))</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  std::cerr<<<span class="stringliteral">"ERROR: Could not read matrix file "</span> << std::endl;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</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::cout << <span class="stringliteral">"Size of matrix: "</span> << M.size1() << std::endl;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  std::cout << <span class="stringliteral">"Avg. Entries per row: "</span> << double(M.nnz()) / static_cast<double>(M.size1()) << std::endl;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  VectorType rhs(M.size2());</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<rhs.size(); ++i)</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  rhs(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1);</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  GPUMatrixType gpu_M(M.size1(), M.size2(), ctx);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  GPUVectorType gpu_rhs(M.size1(), ctx);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(M, gpu_M);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(rhs, gpu_rhs);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a> solver_tag(1e-10, 50); <span class="comment">//for simplicity and reasonably short execution times we use only 50 iterations here</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::cout << <span class="stringliteral">"--- Reference 1: Pure BiCGStab on CPU ---"</span> << std::endl;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  VectorType result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(M, rhs, solver_tag);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  std::cout << <span class="stringliteral">" * Solver iterations: "</span> << solver_tag.iters() << std::endl;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  VectorType residual = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(M, result) - rhs;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  std::cout << <span class="stringliteral">" * Rel. Residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(rhs) << std::endl;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  std::cout << <span class="stringliteral">"--- Reference 2: Pure BiCGStab on GPU ---"</span> << std::endl;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  GPUVectorType gpu_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(gpu_M, gpu_rhs, solver_tag);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  std::cout << <span class="stringliteral">" * Solver iterations: "</span> << solver_tag.iters() << std::endl;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  GPUVectorType gpu_residual = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(gpu_M, gpu_result);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  gpu_residual -= gpu_rhs;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  std::cout << <span class="stringliteral">" * Rel. Residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(gpu_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(gpu_rhs) << std::endl;</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> </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  std::cout << <span class="stringliteral">"--- Reference 2: BiCGStab with ILUT on CPU ---"</span> << std::endl;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  std::cout << <span class="stringliteral">" * Preconditioner setup..."</span> << std::endl;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="classviennacl_1_1linalg_1_1ilut__precond.html">viennacl::linalg::ilut_precond<MatrixType></a> ilut(M, <a class="code" href="classviennacl_1_1linalg_1_1ilut__tag.html">viennacl::linalg::ilut_tag</a>());</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  std::cout << <span class="stringliteral">" * Iterative solver run..."</span> << std::endl;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a>(M, rhs, solver_tag, ilut);</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="line"><a name="l00185"></a><span class="lineno"> 185</span>  std::cout << <span class="stringliteral">"--- Test 1: CPU-based SPAI ---"</span> << std::endl;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  std::cout << <span class="stringliteral">" * Preconditioner setup..."</span> << std::endl;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html">viennacl::linalg::spai_precond<MatrixType></a> spai_cpu(M, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">viennacl::linalg::spai_tag</a>(1e-3, 3, 5e-2));</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  std::cout << <span class="stringliteral">" * Iterative solver run..."</span> << std::endl;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a>(M, rhs, solver_tag, spai_cpu);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  std::cout << <span class="stringliteral">"--- Test 2: CPU-based FSPAI ---"</span> << std::endl;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  std::cout << <span class="stringliteral">" * Preconditioner setup..."</span> << std::endl;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="classviennacl_1_1linalg_1_1fspai__precond.html">viennacl::linalg::fspai_precond<MatrixType></a> fspai_cpu(M, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">viennacl::linalg::fspai_tag</a>());</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  std::cout << <span class="stringliteral">" * Iterative solver run..."</span> << std::endl;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <a class="code" href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a>(M, rhs, solver_tag, fspai_cpu);</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  std::cout << <span class="stringliteral">"--- Test 3: GPU-based SPAI ---"</span> << std::endl;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  std::cout << <span class="stringliteral">" * Preconditioner setup..."</span> << std::endl;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html">viennacl::linalg::spai_precond<GPUMatrixType></a> spai_gpu(gpu_M, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">viennacl::linalg::spai_tag</a>(1e-3, 3, 5e-2));</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  std::cout << <span class="stringliteral">" * Iterative solver run..."</span> << std::endl;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a>(gpu_M, gpu_rhs, solver_tag, spai_gpu);</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  std::cout << <span class="stringliteral">"--- Test 4: GPU-based FSPAI ---"</span> << std::endl;</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  std::cout << <span class="stringliteral">" * Preconditioner setup..."</span> << std::endl;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="classviennacl_1_1linalg_1_1fspai__precond.html">viennacl::linalg::fspai_precond<GPUMatrixType></a> fspai_gpu(gpu_M, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">viennacl::linalg::fspai_tag</a>());</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  std::cout << <span class="stringliteral">" * Iterative solver run..."</span> << std::endl;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <a class="code" href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a>(gpu_M, gpu_rhs, solver_tag, fspai_gpu);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ae46f15d01c01f92a153b3f555a15096b"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a></div><div class="ttdeci">T norm_2(std::vector< T, A > const &v1)</div><div class="ttdef"><b>Definition:</b> <a href="norm__2_8hpp_source.html#l00096">norm_2.hpp:96</a></div></div>
<div class="ttc" id="matrix__market_8hpp_html"><div class="ttname"><a href="matrix__market_8hpp.html">matrix_market.hpp</a></div><div class="ttdoc">A reader and writer for the matrix market format is implemented here. </div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_ae1e931f6efd155240b33ca440dfcfef5"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#ae1e931f6efd155240b33ca440dfcfef5">viennacl::ocl::get_platforms</a></div><div class="ttdeci">std::vector< platform > get_platforms()</div><div class="ttdef"><b>Definition:</b> <a href="platform_8hpp_source.html#l00124">platform.hpp:124</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="classviennacl_1_1ocl_1_1platform_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1platform.html">viennacl::ocl::platform</a></div><div class="ttdoc">Wrapper class for an OpenCL platform. </div><div class="ttdef"><b>Definition:</b> <a href="platform_8hpp_source.html#l00045">platform.hpp:45</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="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="classviennacl_1_1ocl_1_1platform_html_afaa563522ebe9ce7b80ef02c40e7fe31"><div class="ttname"><a href="classviennacl_1_1ocl_1_1platform.html#afaa563522ebe9ce7b80ef02c40e7fe31">viennacl::ocl::platform::devices</a></div><div class="ttdeci">std::vector< device > devices(cl_device_type dtype=CL_DEVICE_TYPE_DEFAULT)</div><div class="ttdoc">Returns the available devices of the supplied device type. </div><div class="ttdef"><b>Definition:</b> <a href="platform_8hpp_source.html#l00091">platform.hpp:91</a></div></div>
<div class="ttc" id="bicgstab_8hpp_html"><div class="ttname"><a href="bicgstab_8hpp.html">bicgstab.hpp</a></div><div class="ttdoc">The stabilized bi-conjugate gradient method is implemented here. </div></div>
<div class="ttc" id="vector-io_8hpp_html"><div class="ttname"><a href="vector-io_8hpp.html">vector-io.hpp</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">viennacl::linalg::detail::spai::spai_tag</a></div><div class="ttdoc">A tag for SPAI. </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00064">spai_tag.hpp:64</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="inner__prod_8hpp_html"><div class="ttname"><a href="inner__prod_8hpp.html">inner_prod.hpp</a></div><div class="ttdoc">Generic interface for the computation of inner products. See viennacl/linalg/vector_operations.hpp for implementations. </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="classviennacl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1context.html">viennacl::context</a></div><div class="ttdoc">Represents a generic 'context' similar to an OpenCL context, but is backend-agnostic and thus also su...</div><div class="ttdef"><b>Definition:</b> <a href="context_8hpp_source.html#l00039">context.hpp:39</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_aa18d10f8a90e38bd9ff43c650fc670ef"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a></div><div class="ttdeci">VectorT prod(std::vector< std::vector< T, A1 >, A2 > const &matrix, VectorT const &vector)</div><div class="ttdef"><b>Definition:</b> <a href="prod_8hpp_source.html#l00102">prod.hpp:102</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">viennacl::linalg::detail::spai::fspai_tag</a></div><div class="ttdoc">A tag for FSPAI. Experimental. </div><div class="ttdef"><b>Definition:</b> <a href="fspai_8hpp_source.html#l00071">fspai.hpp:71</a></div></div>
<div class="ttc" id="ilu_8hpp_html"><div class="ttname"><a href="ilu_8hpp.html">ilu.hpp</a></div><div class="ttdoc">Implementations of incomplete factorization preconditioners. Convenience header file. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1fspai__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1fspai__precond.html">viennacl::linalg::fspai_precond</a></div><div class="ttdoc">Implementation of the Factored SParse Approximate Inverse Algorithm for a generic, uBLAS-compatible matrix type. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00189">spai.hpp:189</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1ilut__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1ilut__tag.html">viennacl::linalg::ilut_tag</a></div><div class="ttdoc">A tag for incomplete LU factorization with threshold (ILUT) </div><div class="ttdef"><b>Definition:</b> <a href="ilut_8hpp_source.html#l00045">ilut.hpp:45</a></div></div>
<div class="ttc" id="compressed__matrix_8hpp_html"><div class="ttname"><a href="compressed__matrix_8hpp.html">compressed_matrix.hpp</a></div><div class="ttdoc">Implementation of the compressed_matrix class. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond.html">viennacl::linalg::spai_precond</a></div><div class="ttdoc">Implementation of the SParse Approximate Inverse Algorithm for a generic, uBLAS-compatible matrix typ...</div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00075">spai.hpp:75</a></div></div>
<div class="ttc" id="solver_8cpp_html_afadbea4317c8f42f54d4622cf0a1829f"><div class="ttname"><a href="solver_8cpp.html#afadbea4317c8f42f54d4622cf0a1829f">run_solver</a></div><div class="ttdeci">void run_solver(MatrixType const &matrix, VectorType const &rhs, VectorType const &ref_result, SolverTag const &solver, PrecondTag const &precond, long ops)</div><div class="ttdef"><b>Definition:</b> <a href="solver_8cpp_source.html#l00101">solver.cpp:101</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1ilut__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1ilut__precond.html">viennacl::linalg::ilut_precond</a></div><div class="ttdoc">ILUT preconditioner class, can be supplied to solve()-routines. </div><div class="ttdef"><b>Definition:</b> <a href="ilut_8hpp_source.html#l00352">ilut.hpp:352</a></div></div>
<div class="ttc" id="cg_8hpp_html"><div class="ttname"><a href="cg_8hpp.html">cg.hpp</a></div><div class="ttdoc">The conjugate gradient method is implemented here. </div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< ScalarType ></a></div></div>
<div class="ttc" id="namespaceviennacl_html_a10b7f8cf6b8864a7aa196d670481a453"><div class="ttname"><a href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a></div><div class="ttdeci">void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)</div><div class="ttdoc">Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00150">circulant_matrix.hpp:150</a></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="spai_8hpp_html"><div class="ttname"><a href="spai_8hpp.html">spai.hpp</a></div><div class="ttdoc">Main include file for the sparse approximate inverse preconditioner family (SPAI and FSPAI)...</div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix</a></div><div class="ttdoc">A sparse square matrix in compressed sparse rows format. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00559">compressed_matrix.hpp:559</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a></div><div class="ttdoc">A tag for the stabilized Bi-conjugate gradient solver. Used for supplying solver parameters and for d...</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00047">bicgstab.hpp:47</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1io_html_ad934125ed3dbe661e264bcd7d62b1048"><div class="ttname"><a href="namespaceviennacl_1_1io.html#ad934125ed3dbe661e264bcd7d62b1048">viennacl::io::read_matrix_market_file</a></div><div class="ttdeci">long read_matrix_market_file(MatrixT &mat, const char *file, long index_base=1)</div><div class="ttdoc">Reads a sparse matrix from a file (MatrixMarket format) </div><div class="ttdef"><b>Definition:</b> <a href="matrix__market_8hpp_source.html#l00339">matrix_market.hpp:339</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_a82c1aba632a7ee0991eee480d5340966"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#a82c1aba632a7ee0991eee480d5340966">viennacl::ocl::get_context</a></div><div class="ttdeci">viennacl::ocl::context & get_context(long i)</div><div class="ttdoc">Convenience function for returning the current context. </div><div class="ttdef"><b>Definition:</b> <a href="backend_8hpp_source.html#l00225">backend.hpp:225</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="namespaceviennacl_1_1ocl_html_add1725d48cfd159ce187e287369d1cdb"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#add1725d48cfd159ce187e287369d1cdb">viennacl::ocl::setup_context</a></div><div class="ttdeci">void setup_context(long i, std::vector< cl_device_id > const &devices)</div><div class="ttdoc">Convenience function for setting devices for a context. </div><div class="ttdef"><b>Definition:</b> <a href="backend_8hpp_source.html#l00231">backend.hpp:231</a></div></div>
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