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<div class="title">direct_solve.hpp</div>  </div>
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<a href="opencl_2direct__solve_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>&#160;<span class="preprocessor">#ifndef VIENNACL_LINALG_OPENCL_DIRECT_SOLVE_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define VIENNACL_LINALG_OPENCL_DIRECT_SOLVE_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">   Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">                            Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">                            TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<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>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">                            -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">                  ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">                            -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<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>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<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>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<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>&#160;<span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>&quot;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="kernel_8hpp.html">viennacl/ocl/kernel.hpp</a>&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="device_8hpp.html">viennacl/ocl/device.hpp</a>&quot;</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="ocl_2handle_8hpp.html">viennacl/ocl/handle.hpp</a>&quot;</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="matrix__solve_8hpp.html">viennacl/linalg/opencl/kernels/matrix_solve.hpp</a>&quot;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="linalg_2opencl_2kernels_2matrix_8hpp.html">viennacl/linalg/opencl/kernels/matrix.hpp</a>&quot;</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;{</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;{</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="keyword">namespace </span>opencl</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;{</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;{</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">   42</a></span>&#160;  <span class="keyword">inline</span> cl_uint <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">get_option_for_solver_tag</a>(<a class="code" href="structviennacl_1_1linalg_1_1upper__tag.html">viennacl::linalg::upper_tag</a>)      { <span class="keywordflow">return</span> 0; }</div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a9d003d00f2cab87b7bc7ebdd472bf1f2">   43</a></span>&#160;  <span class="keyword">inline</span> cl_uint <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">get_option_for_solver_tag</a>(<a class="code" href="structviennacl_1_1linalg_1_1unit__upper__tag.html">viennacl::linalg::unit_upper_tag</a>) { <span class="keywordflow">return</span> (1 &lt;&lt; 0); }</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a78416d62615725d511d7cdbd74e3235b">   44</a></span>&#160;  <span class="keyword">inline</span> cl_uint <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">get_option_for_solver_tag</a>(<a class="code" href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a>)      { <span class="keywordflow">return</span> (1 &lt;&lt; 2); }</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a3b425cc7c38c19cc16f34eb0c349a3e2">   45</a></span>&#160;  <span class="keyword">inline</span> cl_uint <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">get_option_for_solver_tag</a>(<a class="code" href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a>) { <span class="keywordflow">return</span> (1 &lt;&lt; 2) | (1 &lt;&lt; 0); }</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixT1, <span class="keyword">typename</span> MatrixT2, <span class="keyword">typename</span> KernelT&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#ac213c5f1e1f1b9d18e7b94acb9e17279">   48</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#ac213c5f1e1f1b9d18e7b94acb9e17279">inplace_solve_impl</a>(MatrixT1 <span class="keyword">const</span> &amp; A, MatrixT2 &amp; B, KernelT &amp; k)</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(k(viennacl::traits::opencl_handle(A),</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ae601425decc5f1a8763ab5272e9e492f">viennacl::traits::start1</a>(A)),         cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ac53fc8cc9836953dc87aaaaa56f382c2">viennacl::traits::start2</a>(A)),</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a53a39f11907d9098e6f144c87998fe5e">viennacl::traits::stride1</a>(A)),        cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ace596004f16c075adbfcd329e6c60e91">viennacl::traits::stride2</a>(A)),</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a>(A)),          cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a>(A)),</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aedc426f055f1b4c5d00111cc8a46e50d">viennacl::traits::internal_size1</a>(A)), cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a2cd7269b5d00b5ebadab1c4b5a94a7c1">viennacl::traits::internal_size2</a>(A)),</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             viennacl::traits::opencl_handle(B),</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ae601425decc5f1a8763ab5272e9e492f">viennacl::traits::start1</a>(B)),         cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ac53fc8cc9836953dc87aaaaa56f382c2">viennacl::traits::start2</a>(B)),</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a53a39f11907d9098e6f144c87998fe5e">viennacl::traits::stride1</a>(B)),        cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ace596004f16c075adbfcd329e6c60e91">viennacl::traits::stride2</a>(B)),</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a>(B)),          cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a>(B)),</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aedc426f055f1b4c5d00111cc8a46e50d">viennacl::traits::internal_size1</a>(B)), cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a2cd7269b5d00b5ebadab1c4b5a94a7c1">viennacl::traits::internal_size2</a>(B))</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                            )</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                          );</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;}</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment">// Note: By convention, all size checks are performed in the calling frontend. No need to double-check here.</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> SolverTagT&gt;</div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl.html#ac90a3dca0595b15ae04662bddb6cf57c">   77</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl.html#ac90a3dca0595b15ae04662bddb6cf57c">inplace_solve</a>(<a class="code" href="classviennacl_1_1matrix__base.html">matrix_base&lt;NumericT&gt;</a> <span class="keyword">const</span> &amp; A,</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                   <a class="code" href="classviennacl_1_1matrix__base.html">matrix_base&lt;NumericT&gt;</a> &amp; B,</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                   SolverTagT)</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;{</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &amp; ctx = <span class="keyword">const_cast&lt;</span><a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &amp;<span class="keyword">&gt;</span>(viennacl::traits::opencl_handle(A).context());</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  std::string program_name;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="keywordflow">if</span> (A.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>() &amp;&amp; B.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>())</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  {</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1matrix__solve.html">viennacl::linalg::opencl::kernels::matrix_solve&lt;NumericT, row_major, row_major&gt;</a>    KernelClass;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    KernelClass::init(ctx);</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    program_name = KernelClass::program_name();</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (A.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>() &amp;&amp; !B.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>())</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1matrix__solve.html">viennacl::linalg::opencl::kernels::matrix_solve&lt;NumericT, row_major, column_major&gt;</a>    KernelClass;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    KernelClass::init(ctx);</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    program_name = KernelClass::program_name();</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  }</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!A.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>() &amp;&amp; B.<a class="code" href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">row_major</a>())</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1matrix__solve.html">viennacl::linalg::opencl::kernels::matrix_solve&lt;NumericT, column_major, row_major&gt;</a>    KernelClass;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    KernelClass::init(ctx);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    program_name = KernelClass::program_name();</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  }</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  {</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1matrix__solve.html">viennacl::linalg::opencl::kernels::matrix_solve&lt;NumericT, column_major, column_major&gt;</a>    KernelClass;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    KernelClass::init(ctx);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    program_name = KernelClass::program_name();</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  }</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  std::stringstream ss;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  ss &lt;&lt; SolverTagT::name();</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  ss &lt;&lt; <span class="stringliteral">&quot;_solve&quot;</span>;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> &amp; k = ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(program_name, ss.str());</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  k.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, B.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() * k.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>());</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#ac213c5f1e1f1b9d18e7b94acb9e17279">detail::inplace_solve_impl</a>(A, B, k);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;}</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">//  Solve on vector</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> SOLVERTAG&gt;</div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1opencl.html#ad6cf7d9d8b5ccaf3088350c4b9168dc5">  126</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl.html#ac90a3dca0595b15ae04662bddb6cf57c">inplace_solve</a>(<a class="code" href="classviennacl_1_1matrix__base.html">matrix_base&lt;NumericT&gt;</a> <span class="keyword">const</span> &amp; A,</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                   <a class="code" href="classviennacl_1_1vector__base.html">vector_base&lt;NumericT&gt;</a>       &amp; x,</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                   SOLVERTAG)</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;{</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  cl_uint options = <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">detail::get_option_for_solver_tag</a>(SOLVERTAG());</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> &amp; k = <a class="code" href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#aa42a34c8e153495ac317c599824123d4">detail::legacy_kernel_for_matrix</a>(A,  <span class="stringliteral">&quot;triangular_substitute_inplace&quot;</span>);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  k.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, k.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>());</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(k(viennacl::traits::opencl_handle(A),</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ae601425decc5f1a8763ab5272e9e492f">viennacl::traits::start1</a>(A)),         cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ac53fc8cc9836953dc87aaaaa56f382c2">viennacl::traits::start2</a>(A)),</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a53a39f11907d9098e6f144c87998fe5e">viennacl::traits::stride1</a>(A)),        cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#ace596004f16c075adbfcd329e6c60e91">viennacl::traits::stride2</a>(A)),</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a>(A)),          cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a>(A)),</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aedc426f055f1b4c5d00111cc8a46e50d">viennacl::traits::internal_size1</a>(A)), cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a2cd7269b5d00b5ebadab1c4b5a94a7c1">viennacl::traits::internal_size2</a>(A)),</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                           viennacl::traits::opencl_handle(x),</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">viennacl::traits::start</a>(x)),</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#a09997870f4802fa5d4ac2c43cf4020d1">viennacl::traits::stride</a>(x)),</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                           cl_uint(<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a>(x)),</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                           options</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                          )</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                        );</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;} <span class="comment">//namespace opencl</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;} <span class="comment">//namespace linalg</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;} <span class="comment">//namespace viennacl</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="device_8hpp_html"><div class="ttname"><a href="device_8hpp.html">device.hpp</a></div><div class="ttdoc">Represents an OpenCL device within ViennaCL. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a53a39f11907d9098e6f144c87998fe5e"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a53a39f11907d9098e6f144c87998fe5e">viennacl::traits::stride1</a></div><div class="ttdeci">result_of::size_type&lt; matrix_base&lt; NumericT &gt; &gt;::type stride1(matrix_base&lt; NumericT &gt; const &amp;s)</div><div class="ttdef"><b>Definition:</b> <a href="stride_8hpp_source.html#l00055">stride.hpp:55</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1kernel_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a></div><div class="ttdoc">Represents an OpenCL kernel within ViennaCL. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00058">kernel.hpp:58</a></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="namespaceviennacl_1_1traits_html_aedc426f055f1b4c5d00111cc8a46e50d"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aedc426f055f1b4c5d00111cc8a46e50d">viennacl::traits::internal_size1</a></div><div class="ttdeci">vcl_size_t internal_size1(matrix_base&lt; NumericT &gt; const &amp;mat)</div><div class="ttdoc">Helper routine for obtaining the internal number of entries per row of a ViennaCL matrix...</div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00386">size.hpp:386</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1kernel_html_ae2b841c487f9ddbfcfb6297d648e2d7f"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">viennacl::ocl::kernel::local_work_size</a></div><div class="ttdeci">size_type local_work_size(int index=0) const </div><div class="ttdoc">Returns the local work size at the respective dimension. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00742">kernel.hpp:742</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa756f5d6820722094cae0d8b9bb6d5e2"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a></div><div class="ttdeci">vcl_size_t size1(MatrixType const &amp;mat)</div><div class="ttdoc">Generic routine for obtaining the number of rows of a matrix (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00163">size.hpp:163</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1lower__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a></div><div class="ttdoc">A tag class representing a lower triangular matrix. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00849">forwards.h:849</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a></div><div class="ttdoc">Manages an OpenCL context and provides the respective convenience functions for creating buffers...</div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00055">context.hpp:55</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a2cd7269b5d00b5ebadab1c4b5a94a7c1"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a2cd7269b5d00b5ebadab1c4b5a94a7c1">viennacl::traits::internal_size2</a></div><div class="ttdeci">vcl_size_t internal_size2(matrix_base&lt; NumericT &gt; const &amp;mat)</div><div class="ttdoc">Helper routine for obtaining the internal number of entries per column of a ViennaCL matrix...</div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00394">size.hpp:394</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html"><div class="ttname"><a href="classviennacl_1_1matrix__base.html">viennacl::matrix_base&lt; NumericT &gt;</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a09997870f4802fa5d4ac2c43cf4020d1"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a09997870f4802fa5d4ac2c43cf4020d1">viennacl::traits::stride</a></div><div class="ttdeci">result_of::size_type&lt; viennacl::vector_base&lt; T &gt; &gt;::type stride(viennacl::vector_base&lt; T &gt; const &amp;s)</div><div class="ttdef"><b>Definition:</b> <a href="stride_8hpp_source.html#l00045">stride.hpp:45</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_ae601425decc5f1a8763ab5272e9e492f"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#ae601425decc5f1a8763ab5272e9e492f">viennacl::traits::start1</a></div><div class="ttdeci">result_of::size_type&lt; T &gt;::type start1(T const &amp;obj)</div><div class="ttdef"><b>Definition:</b> <a href="start_8hpp_source.html#l00065">start.hpp:65</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1detail_html_a64f1e9f297e72762dd45b29214ae71fd"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#a64f1e9f297e72762dd45b29214ae71fd">viennacl::linalg::opencl::detail::get_option_for_solver_tag</a></div><div class="ttdeci">cl_uint get_option_for_solver_tag(viennacl::linalg::upper_tag)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2direct__solve_8hpp_source.html#l00042">direct_solve.hpp:42</a></div></div>
<div class="ttc" id="matrix__solve_8hpp_html"><div class="ttname"><a href="matrix__solve_8hpp.html">matrix_solve.hpp</a></div><div class="ttdoc">OpenCL kernel file for dense matrix solves with multiple right hand side (BLAS level 3) ...</div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a3658e7c29ac0f60a20cb5871f5b5fd98"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a></div><div class="ttdeci">result_of::size_type&lt; MatrixType &gt;::type size2(MatrixType const &amp;mat)</div><div class="ttdoc">Generic routine for obtaining the number of columns of a matrix (ViennaCL, uBLAS, etc...</div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00201">size.hpp:201</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1detail_html_ac213c5f1e1f1b9d18e7b94acb9e17279"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#ac213c5f1e1f1b9d18e7b94acb9e17279">viennacl::linalg::opencl::detail::inplace_solve_impl</a></div><div class="ttdeci">void inplace_solve_impl(MatrixT1 const &amp;A, MatrixT2 &amp;B, KernelT &amp;k)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2direct__solve_8hpp_source.html#l00048">direct_solve.hpp:48</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 &amp;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="namespaceviennacl_1_1traits_html_ac53fc8cc9836953dc87aaaaa56f382c2"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#ac53fc8cc9836953dc87aaaaa56f382c2">viennacl::traits::start2</a></div><div class="ttdeci">result_of::size_type&lt; T &gt;::type start2(T const &amp;obj)</div><div class="ttdef"><b>Definition:</b> <a href="start_8hpp_source.html#l00084">start.hpp:84</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html_afe68ad8c2df449f40f45db6605038946"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">viennacl::ocl::context::get_kernel</a></div><div class="ttdeci">viennacl::ocl::kernel &amp; get_kernel(std::string const &amp;program_name, std::string const &amp;kernel_name)</div><div class="ttdoc">Convenience function for retrieving the kernel of a program directly from the context. </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00605">context.hpp:605</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1upper__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1upper__tag.html">viennacl::linalg::upper_tag</a></div><div class="ttdoc">A tag class representing an upper triangular matrix. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00854">forwards.h:854</a></div></div>
<div class="ttc" id="ocl_2handle_8hpp_html"><div class="ttname"><a href="ocl_2handle_8hpp.html">handle.hpp</a></div><div class="ttdoc">Implementation of a smart-pointer-like class for handling OpenCL handles. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a68603a1e1ca1bfb6d107831ba5096786"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">viennacl::traits::start</a></div><div class="ttdeci">result_of::size_type&lt; T &gt;::type start(T const &amp;obj)</div><div class="ttdef"><b>Definition:</b> <a href="start_8hpp_source.html#l00044">start.hpp:44</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&lt; NumericT &gt;</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1matrix__solve_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1matrix__solve.html">viennacl::linalg::opencl::kernels::matrix_solve</a></div><div class="ttdoc">Main kernel class for the generation of matrix solve kernels. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__solve_8hpp_source.html#l00130">matrix_solve.hpp:130</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a4348766b3b9cb049f7acd6a795272dbe"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">viennacl::matrix_base::size2</a></div><div class="ttdeci">size_type size2() const </div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00226">matrix_def.hpp:226</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_ace596004f16c075adbfcd329e6c60e91"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#ace596004f16c075adbfcd329e6c60e91">viennacl::traits::stride2</a></div><div class="ttdeci">result_of::size_type&lt; matrix_base&lt; NumericT &gt; &gt;::type stride2(matrix_base&lt; NumericT &gt; const &amp;s)</div><div class="ttdef"><b>Definition:</b> <a href="stride_8hpp_source.html#l00065">stride.hpp:65</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_html_ac90a3dca0595b15ae04662bddb6cf57c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl.html#ac90a3dca0595b15ae04662bddb6cf57c">viennacl::linalg::opencl::inplace_solve</a></div><div class="ttdeci">void inplace_solve(matrix_base&lt; NumericT &gt; const &amp;A, matrix_base&lt; NumericT &gt; &amp;B, SolverTagT)</div><div class="ttdoc">Direct inplace solver for dense triangular systems. Matlab notation: A \ B. </div><div class="ttdef"><b>Definition:</b> <a href="opencl_2direct__solve_8hpp_source.html#l00077">direct_solve.hpp:77</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1opencl_1_1detail_html_aa42a34c8e153495ac317c599824123d4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1opencl_1_1detail.html#aa42a34c8e153495ac317c599824123d4">viennacl::linalg::opencl::detail::legacy_kernel_for_matrix</a></div><div class="ttdeci">viennacl::ocl::kernel &amp; legacy_kernel_for_matrix(matrix_base&lt; NumericT &gt; const &amp;M, std::string const &amp;kernel_name)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2matrix__operations_8hpp_source.html#l00100">matrix_operations.hpp:100</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_a5f2022f653ea1cf364d20e3ff84dcada"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a></div><div class="ttdeci">void enqueue(KernelType &amp;k, viennacl::ocl::command_queue const &amp;queue)</div><div class="ttdoc">Enqueues a kernel in the provided queue. </div><div class="ttdef"><b>Definition:</b> <a href="enqueue_8hpp_source.html#l00050">enqueue.hpp:50</a></div></div>
<div class="ttc" id="kernel_8hpp_html"><div class="ttname"><a href="kernel_8hpp.html">kernel.hpp</a></div><div class="ttdoc">Representation of an OpenCL kernel in ViennaCL. </div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a15ec879f9e85a6fc209454b0bf137084"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a15ec879f9e85a6fc209454b0bf137084">viennacl::matrix_base::row_major</a></div><div class="ttdeci">bool row_major() const </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00248">matrix_def.hpp:248</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1unit__lower__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a></div><div class="ttdoc">A tag class representing a lower triangular matrix with unit diagonal. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00859">forwards.h:859</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1kernel_html_a0144c18ae9f07722e5b5697335b7cff5"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">viennacl::ocl::kernel::global_work_size</a></div><div class="ttdeci">size_type global_work_size(int index=0) const </div><div class="ttdoc">Returns the global work size at the respective dimension. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00751">kernel.hpp:751</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1unit__upper__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1unit__upper__tag.html">viennacl::linalg::unit_upper_tag</a></div><div class="ttdoc">A tag class representing an upper triangular matrix with unit diagonal. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00864">forwards.h:864</a></div></div>
<div class="ttc" id="linalg_2opencl_2kernels_2matrix_8hpp_html"><div class="ttname"><a href="linalg_2opencl_2kernels_2matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Runtime generation of OpenCL kernels for matrix operations. </div></div>
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