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<div class="title">mixed_precision_cg.hpp</div> </div>
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<a href="mixed__precision__cg_8hpp.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="preprocessor">#ifndef VIENNACL_LINALG_MIXED_PRECISION_CG_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_MIXED_PRECISION_CG_HPP_</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</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"> ViennaCL - The Vienna Computing Library</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"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</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> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <map></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 "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</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="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="clear_8hpp.html">viennacl/traits/clear.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="size_8hpp.html">viennacl/traits/size.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="result__of_8hpp.html">viennacl/meta/result_of.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="memory_8hpp.html">viennacl/backend/memory.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="vector__proxy_8hpp.html">viennacl/vector_proxy.hpp</a>"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">namespace </span>linalg</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="l00047"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html"> 47</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html">mixed_precision_cg_tag</a></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ad0f4d72e090336e3e638e6514841ae47"> 56</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ad0f4d72e090336e3e638e6514841ae47">mixed_precision_cg_tag</a>(<span class="keywordtype">double</span> tol = 1e-8, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b">max_iterations</a> = 300, <span class="keywordtype">float</span> inner_tol = 1e-2f) : tol_(tol), iterations_(<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b">max_iterations</a>), inner_tol_(inner_tol) {}</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a848e937573ac5676287f45bcd597e6c0"> 59</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a848e937573ac5676287f45bcd597e6c0">tolerance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tol_; }</div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ae02f0e5429c90b464d59924a31d55616"> 61</a></span>  <span class="keywordtype">float</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ae02f0e5429c90b464d59924a31d55616">inner_tolerance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> inner_tol_; }</div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b"> 63</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b">max_iterations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iterations_; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a17d99c4efd9a09e794088c794b56a13c"> 66</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a17d99c4efd9a09e794088c794b56a13c">iters</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iters_taken_; }</div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a235da03c3d4bd28739cb2a8677a6a5c3"> 67</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a235da03c3d4bd28739cb2a8677a6a5c3">iters</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i)<span class="keyword"> const </span>{ iters_taken_ = i; }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#afb0c3e7b89c1f95d8fc27a5c58faa6f7"> 70</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#afb0c3e7b89c1f95d8fc27a5c58faa6f7">error</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> last_error_; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a08ce2880f2fcf6f0ce9a173f03345a3c"> 72</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a08ce2880f2fcf6f0ce9a173f03345a3c">error</a>(<span class="keywordtype">double</span> e)<span class="keyword"> const </span>{ last_error_ = e; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">double</span> tol_;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> iterations_;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">float</span> inner_tol_;</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="comment">//return values from solver</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keyword">mutable</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> iters_taken_;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">mutable</span> <span class="keywordtype">double</span> last_error_;</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> </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a727542f4624926e74ff52ea5c75d546f"> 96</a></span>  VectorType <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(<span class="keyword">const</span> MatrixType & <a class="code" href="classviennacl_1_1matrix.html">matrix</a>, VectorType <span class="keyword">const</span> & rhs, <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html">mixed_precision_cg_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  {</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">//typedef typename VectorType::value_type ScalarType;</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1cpu__value__type.html#aa015d93f419985879a7c13b09633c5c6">viennacl::result_of::cpu_value_type<VectorType>::type</a> CPU_ScalarType;</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 << "Starting CG" << std::endl;</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> problem_size = <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a>(rhs);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  VectorType result(rhs);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a>(result);</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>  VectorType residual = rhs;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  CPU_ScalarType ip_rr = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(rhs, rhs);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  CPU_ScalarType new_ip_rr = 0;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  CPU_ScalarType norm_rhs_squared = ip_rr;</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>  <span class="keywordflow">if</span> (norm_rhs_squared <= 0) <span class="comment">//solution is zero if RHS norm is zero</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<float></a> residual_low_precision(problem_size, <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs));</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<float></a> result_low_precision(problem_size, <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs));</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<float></a> p_low_precision(problem_size, <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs));</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<float></a> tmp_low_precision(problem_size, <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs));</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordtype">float</span> inner_ip_rr = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(ip_rr);</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordtype">float</span> new_inner_ip_rr = 0;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordtype">float</span> initial_inner_rhs_norm_squared = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(ip_rr);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordtype">float</span> alpha;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordtype">float</span> beta;</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>  <span class="comment">// transfer rhs to single precision:</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  p_low_precision = rhs;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  residual_low_precision = p_low_precision;</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>  <span class="comment">// transfer matrix to single precision:</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<float></a> matrix_low_precision(matrix.size1(), matrix.size2(), matrix.nnz(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs));</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a>(matrix.handle1(), <span class="keyword">const_cast<</span><a class="code" href="classviennacl_1_1backend_1_1mem__handle.html">viennacl::backend::mem_handle</a> &<span class="keyword">></span>(matrix_low_precision.handle1()), 0, 0, matrix_low_precision.handle1().<a class="code" href="classviennacl_1_1backend_1_1mem__handle.html#ac8373f0d899b89c843e14de4cb7a1c4a">raw_size</a>() );</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a>(matrix.handle2(), <span class="keyword">const_cast<</span><a class="code" href="classviennacl_1_1backend_1_1mem__handle.html">viennacl::backend::mem_handle</a> &<span class="keyword">></span>(matrix_low_precision.handle2()), 0, 0, matrix_low_precision.handle2().<a class="code" href="classviennacl_1_1backend_1_1mem__handle.html#ac8373f0d899b89c843e14de4cb7a1c4a">raw_size</a>() );</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>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<CPU_ScalarType></a> matrix_elements_high_precision(const_cast<viennacl::backend::mem_handle &>(matrix.handle()), matrix.nnz(), 0, 1);</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<float></a> matrix_elements_low_precision(matrix_low_precision.handle(), matrix.nnz(), 0, 1);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  matrix_elements_low_precision = matrix_elements_high_precision;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  matrix_low_precision.generate_row_block_information();</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b">max_iterations</a>(); ++i)</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>  tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a17d99c4efd9a09e794088c794b56a13c">iters</a>(i+1);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="comment">// lower precision 'inner iteration'</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  tmp_low_precision = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix_low_precision, p_low_precision);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  alpha = inner_ip_rr / <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(tmp_low_precision, p_low_precision);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  result_low_precision += alpha * p_low_precision;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  residual_low_precision -= alpha * tmp_low_precision;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  new_inner_ip_rr = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(residual_low_precision, residual_low_precision);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  beta = new_inner_ip_rr / inner_ip_rr;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  inner_ip_rr = new_inner_ip_rr;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  p_low_precision = residual_low_precision + beta * p_low_precision;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="comment">// If enough progress has been achieved, update current residual with high precision evaluation</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">// This is effectively a restart of the CG method</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">if</span> (new_inner_ip_rr < tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ae02f0e5429c90b464d59924a31d55616">inner_tolerance</a>() * initial_inner_rhs_norm_squared || i == tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b">max_iterations</a>()-1)</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  residual = result_low_precision; <span class="comment">// reusing residual vector as temporary buffer for conversion. Overwritten below anyway</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  result += residual;</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>  <span class="comment">// residual = b - Ax (without introducing a temporary)</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  residual = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, result);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  residual = rhs - residual;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  new_ip_rr = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(residual, residual);</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">if</span> (new_ip_rr / norm_rhs_squared < tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a848e937573ac5676287f45bcd597e6c0">tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a848e937573ac5676287f45bcd597e6c0">tolerance</a>())<span class="comment">//squared norms involved here</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  p_low_precision = residual;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  result_low_precision.<a class="code" href="classviennacl_1_1vector__base.html#abf5acd243b2b1571cc7a486e89485ca0">clear</a>();</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  residual_low_precision = p_low_precision;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  initial_inner_rhs_norm_squared = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(new_ip_rr);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  inner_ip_rr = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(new_ip_rr);</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="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="comment">//store last error estimate:</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#afb0c3e7b89c1f95d8fc27a5c58faa6f7">error</a>(std::sqrt(new_ip_rr / norm_rhs_squared));</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ab5579a603f93ad9fb66d8ebc358d7d5a"> 190</a></span>  VectorType <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(<span class="keyword">const</span> MatrixType & <a class="code" href="classviennacl_1_1matrix.html">matrix</a>, VectorType <span class="keyword">const</span> & rhs, <a class="code" href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html">mixed_precision_cg_tag</a> <span class="keyword">const</span> & tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>)</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  {</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(matrix, rhs, tag);</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="size_8hpp_html"><div class="ttname"><a href="size_8hpp.html">size.hpp</a></div><div class="ttdoc">Generic size and resize functionality for different vector and matrix types. </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="tools_8hpp_html"><div class="ttname"><a href="tools_8hpp.html">tools.hpp</a></div><div class="ttdoc">Various little tools used here and there in ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_ae02f0e5429c90b464d59924a31d55616"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ae02f0e5429c90b464d59924a31d55616">viennacl::linalg::mixed_precision_cg_tag::inner_tolerance</a></div><div class="ttdeci">float inner_tolerance() const </div><div class="ttdoc">Returns the relative tolerance. </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00061">mixed_precision_cg.hpp:61</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a22ab64b1df12a9da0423e5cad52ea367"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a></div><div class="ttdeci">void clear(VectorType &vec)</div><div class="ttdoc">Generic routine for setting all entries of a vector to zero. This is the version for non-ViennaCL obj...</div><div class="ttdef"><b>Definition:</b> <a href="clear_8hpp_source.html#l00043">clear.hpp:43</a></div></div>
<div class="ttc" id="forwards_8h_html"><div class="ttname"><a href="forwards_8h.html">forwards.h</a></div><div class="ttdoc">This file provides the forward declarations for the main types used within ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ab35950c4374eb3be08a03d852508c01a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a></div><div class="ttdeci">viennacl::enable_if< viennacl::is_stl< typename viennacl::traits::tag_of< VectorT1 >::type >::value, typename VectorT1::value_type >::type inner_prod(VectorT1 const &v1, VectorT2 const &v2)</div><div class="ttdef"><b>Definition:</b> <a href="inner__prod_8hpp_source.html#l00100">inner_prod.hpp:100</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="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="namespaceviennacl_1_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1no__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a></div><div class="ttdoc">A tag class representing the use of no preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00873">forwards.h:873</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_1mixed__precision__cg__tag_html_ab868f1d48b8d1150e994c4b8ce752f1b"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ab868f1d48b8d1150e994c4b8ce752f1b">viennacl::linalg::mixed_precision_cg_tag::max_iterations</a></div><div class="ttdeci">unsigned int max_iterations() const </div><div class="ttdoc">Returns the maximum number of iterations. </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00063">mixed_precision_cg.hpp:63</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_a848e937573ac5676287f45bcd597e6c0"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a848e937573ac5676287f45bcd597e6c0">viennacl::linalg::mixed_precision_cg_tag::tolerance</a></div><div class="ttdeci">double tolerance() const </div><div class="ttdoc">Returns the relative tolerance. </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00059">mixed_precision_cg.hpp:59</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base</a></div><div class="ttdoc">Common base class for dense vectors, vector ranges, and vector slices. </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00104">vector_def.hpp:104</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="clear_8hpp_html"><div class="ttname"><a href="clear_8hpp.html">clear.hpp</a></div><div class="ttdoc">Generic clear functionality for different vector and matrix types. </div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00266">forwards.h:266</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_ad0f4d72e090336e3e638e6514841ae47"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#ad0f4d72e090336e3e638e6514841ae47">viennacl::linalg::mixed_precision_cg_tag::mixed_precision_cg_tag</a></div><div class="ttdeci">mixed_precision_cg_tag(double tol=1e-8, unsigned int max_iterations=300, float inner_tol=1e-2f)</div><div class="ttdoc">The constructor. </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00056">mixed_precision_cg.hpp:56</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_afb0c3e7b89c1f95d8fc27a5c58faa6f7"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#afb0c3e7b89c1f95d8fc27a5c58faa6f7">viennacl::linalg::mixed_precision_cg_tag::error</a></div><div class="ttdeci">double error() const </div><div class="ttdoc">Returns the estimated relative error at the end of the solver run. </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00070">mixed_precision_cg.hpp:70</a></div></div>
<div class="ttc" id="structviennacl_1_1result__of_1_1cpu__value__type_html_aa015d93f419985879a7c13b09633c5c6"><div class="ttname"><a href="structviennacl_1_1result__of_1_1cpu__value__type.html#aa015d93f419985879a7c13b09633c5c6">viennacl::result_of::cpu_value_type::type</a></div><div class="ttdeci">T::ERROR_CANNOT_DEDUCE_CPU_SCALAR_TYPE_FOR_T type</div><div class="ttdef"><b>Definition:</b> <a href="result__of_8hpp_source.html#l00271">result_of.hpp:271</a></div></div>
<div class="ttc" id="vector__proxy_8hpp_html"><div class="ttname"><a href="vector__proxy_8hpp.html">vector_proxy.hpp</a></div><div class="ttdoc">Proxy classes for vectors. </div></div>
<div class="ttc" id="namespaceviennacl_1_1backend_html_a39a91fd7aa68ebf64bd7bfa409732ec0"><div class="ttname"><a href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a></div><div class="ttdeci">void memory_copy(mem_handle const &src_buffer, mem_handle &dst_buffer, vcl_size_t src_offset, vcl_size_t dst_offset, vcl_size_t bytes_to_copy)</div><div class="ttdoc">Copies 'bytes_to_copy' bytes from address 'src_buffer + src_offset' to memory starting at address 'ds...</div><div class="ttdef"><b>Definition:</b> <a href="memory_8hpp_source.html#l00140">memory.hpp:140</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_abf5acd243b2b1571cc7a486e89485ca0"><div class="ttname"><a href="classviennacl_1_1vector__base.html#abf5acd243b2b1571cc7a486e89485ca0">viennacl::vector_base< NumericT >::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Resets all entries to zero. Does not change the size of the vector. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a6707f5dab8f482170d2046a605f46ef8"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a></div><div class="ttdeci">viennacl::context context(T const &t)</div><div class="ttdoc">Returns an ID for the currently active memory domain of an object. </div><div class="ttdef"><b>Definition:</b> <a href="traits_2context_8hpp_source.html#l00040">context.hpp:40</a></div></div>
<div class="ttc" id="classviennacl_1_1backend_1_1mem__handle_html"><div class="ttname"><a href="classviennacl_1_1backend_1_1mem__handle.html">viennacl::backend::mem_handle</a></div><div class="ttdoc">Main abstraction class for multiple memory domains. Represents a buffer in either main RAM...</div><div class="ttdef"><b>Definition:</b> <a href="mem__handle_8hpp_source.html#l00089">mem_handle.hpp:89</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_a235da03c3d4bd28739cb2a8677a6a5c3"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a235da03c3d4bd28739cb2a8677a6a5c3">viennacl::linalg::mixed_precision_cg_tag::iters</a></div><div class="ttdeci">void iters(unsigned int i) const </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00067">mixed_precision_cg.hpp:67</a></div></div>
<div class="ttc" id="classviennacl_1_1backend_1_1mem__handle_html_ac8373f0d899b89c843e14de4cb7a1c4a"><div class="ttname"><a href="classviennacl_1_1backend_1_1mem__handle.html#ac8373f0d899b89c843e14de4cb7a1c4a">viennacl::backend::mem_handle::raw_size</a></div><div class="ttdeci">vcl_size_t raw_size() const </div><div class="ttdoc">Returns the number of bytes of the currently active buffer. </div><div class="ttdef"><b>Definition:</b> <a href="mem__handle_8hpp_source.html#l00230">mem_handle.hpp:230</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix< float ></a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html">viennacl::linalg::mixed_precision_cg_tag</a></div><div class="ttdoc">A tag for the conjugate gradient Used for supplying solver parameters and for dispatching the solve()...</div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00047">mixed_precision_cg.hpp:47</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_a08ce2880f2fcf6f0ce9a173f03345a3c"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a08ce2880f2fcf6f0ce9a173f03345a3c">viennacl::linalg::mixed_precision_cg_tag::error</a></div><div class="ttdeci">void error(double e) const </div><div class="ttdoc">Sets the estimated relative error at the end of the solver run. </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00072">mixed_precision_cg.hpp:72</a></div></div>
<div class="ttc" id="result__of_8hpp_html"><div class="ttname"><a href="result__of_8hpp.html">result_of.hpp</a></div><div class="ttdoc">A collection of compile time type deductions. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1mixed__precision__cg__tag_html_a17d99c4efd9a09e794088c794b56a13c"><div class="ttname"><a href="classviennacl_1_1linalg_1_1mixed__precision__cg__tag.html#a17d99c4efd9a09e794088c794b56a13c">viennacl::linalg::mixed_precision_cg_tag::iters</a></div><div class="ttdeci">unsigned int iters() const </div><div class="ttdoc">Return the number of solver iterations: </div><div class="ttdef"><b>Definition:</b> <a href="mixed__precision__cg_8hpp_source.html#l00066">mixed_precision_cg.hpp:66</a></div></div>
<div class="ttc" id="memory_8hpp_html"><div class="ttname"><a href="memory_8hpp.html">memory.hpp</a></div><div class="ttdoc">Main interface routines for memory management. </div></div>
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