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<div class="title">matrix-free.cpp</div> </div>
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<a href="matrix-free_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="l00031"></a><span class="lineno"> 31</span> <span class="comment">//</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// include necessary system headers</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">//</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">//</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// ViennaCL includes</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">//</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "<a class="code" href="gmres_8hpp.html">viennacl/linalg/gmres.hpp</a>"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">class </span>MyOperator</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  MyOperator(std::size_t N) : N_(N) {}</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// Dispatcher for y = Ax</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordtype">void</span> apply(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="preprocessor">#if defined(VIENNACL_WITH_CUDA)</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceviennacl_1_1traits.html#aad443a796634a9648e19b4156fcd880d">viennacl::traits::active_handle_id</a>(x) == <a class="code" href="namespaceviennacl.html#a00b40450b6b2fd87aad3527d9b2084b8ab58facda25e2c7e20d9fe1b5e62f46d2">viennacl::CUDA_MEMORY</a>)</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  apply_cuda(x, y);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor">#if defined(VIENNACL_WITH_OPENCL)</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceviennacl_1_1traits.html#aad443a796634a9648e19b4156fcd880d">viennacl::traits::active_handle_id</a>(x) == <a class="code" href="namespaceviennacl.html#a00b40450b6b2fd87aad3527d9b2084b8adb37af613f34867568e4f6cf720c68b1">viennacl::OPENCL_MEMORY</a>)</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  apply_opencl(x, y);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="preprocessor">#endif</span></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>  <span class="keywordflow">if</span> (<a class="code" href="namespaceviennacl_1_1traits.html#aad443a796634a9648e19b4156fcd880d">viennacl::traits::active_handle_id</a>(x) == <a class="code" href="namespaceviennacl.html#a00b40450b6b2fd87aad3527d9b2084b8a427356f0fb1b8d32b28f37e36b272df4">viennacl::MAIN_MEMORY</a>)</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  apply_host(x, y);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  }</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>  std::size_t <a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> N_ * N_; }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor">#if defined(VIENNACL_WITH_CUDA)</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordtype">void</span> apply_cuda(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor">#if defined(VIENNACL_WITH_OPENCL)</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">void</span> apply_opencl(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordtype">void</span> apply_host(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  std::size_t N_;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> };</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> {</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>; <span class="comment">// feel free to change to double (and change OpenCL kernel argument types accordingly)</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  std::size_t N = 10;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> rhs = <a class="code" href="structviennacl_1_1scalar__vector.html">viennacl::scalar_vector<ScalarType></a>(N*N, <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(-1));</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  MyOperator<ScalarType> op(N);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(op, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>());</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  std::cout.precision(3);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  std::cout << std::fixed;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  std::cout << <span class="stringliteral">"Result value map: "</span> << std::endl;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  std::cout << std::endl << <span class="stringliteral">"^ y "</span> << std::endl;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<N; ++i)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  std::cout << <span class="stringliteral">"| "</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<N; ++j)</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  std::cout << result[i * N + j] << <span class="stringliteral">" "</span>;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  std::cout << <span class="stringliteral">"*---------------------------------------------> x"</span> << std::endl;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</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">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="keywordtype">void</span> MyOperator<NumericT>::apply_host(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <span class="keyword">const</span> * values_x = viennacl::linalg::host_based::detail::extract_raw_pointer<NumericT>(x.<a class="code" href="classviennacl_1_1vector__base.html#a64e98aea5aa298ad63e3832a04c19648">handle</a>());</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> * values_y = viennacl::linalg::host_based::detail::extract_raw_pointer<NumericT>(y.<a class="code" href="classviennacl_1_1vector__base.html#a64e98aea5aa298ad63e3832a04c19648">handle</a>());</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> dx = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1) / <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(N_ + 1);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> dy = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1) / <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(N_ + 1);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">// feel free to use</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="comment">// #pragma omp parallel for</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="comment">// here</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<N_; ++i)</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<N_; ++j)</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_right = (j < N_ - 1) ? values_x[ i *N_ + j + 1] : 0;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_left = (j > 0 ) ? values_x[ i *N_ + j - 1] : 0;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_top = (i < N_ - 1) ? values_x[(i+1)*N_ + j ] : 0;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_bottom = (i > 0 ) ? values_x[(i-1)*N_ + j ] : 0;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_center = values_x[i*N_ + j];</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  values_y[i*N_ + j] = ((value_right - value_center) / dx - (value_center - value_left) / dx) / dx</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  + ((value_top - value_center) / dy - (value_center - value_bottom) / dy) / dy;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</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> </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="preprocessor">#if defined(VIENNACL_WITH_CUDA)</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> __global__ <span class="keywordtype">void</span> apply_cuda_kernel(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <span class="keyword">const</span> * values_x,</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> * values_y,</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  std::size_t N)</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> {</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> dx = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1) / (N + 1);</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> dy = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1) / (N + 1);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">for</span> (std::size_t i = blockIdx.x; i < N; i += gridDim.x)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">for</span> (std::size_t j = threadIdx.x; j < N; j += blockDim.x)</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_right = (j < N - 1) ? values_x[ i *N + j + 1] : 0;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_left = (j > 0 ) ? values_x[ i *N + j - 1] : 0;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_top = (i < N - 1) ? values_x[(i+1)*N + j ] : 0;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_bottom = (i > 0 ) ? values_x[(i-1)*N + j ] : 0;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value_center = values_x[i*N + j];</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  values_y[i*N + j] = ((value_right - value_center) / dx - (value_center - value_left) / dx) / dx</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  + ((value_top - value_center) / dy - (value_center - value_bottom) / dy) / dy;</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</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="preprocessor">#endif</span></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="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="preprocessor">#if defined(VIENNACL_WITH_CUDA)</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="keywordtype">void</span> MyOperator<NumericT>::apply_cuda(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  apply_cuda_kernel<<<128, 128>>>(<a class="code" href="namespaceviennacl.html#ae7d5db0c2c91be75218db5b52c4d13da">viennacl::cuda_arg</a>(x), <a class="code" href="namespaceviennacl.html#ae7d5db0c2c91be75218db5b52c4d13da">viennacl::cuda_arg</a>(y), N_);</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="preprocessor">#if defined(VIENNACL_WITH_OPENCL)</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> * my_compute_program =</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="stringliteral">"typedef float NumericT; \n"</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="stringliteral">"__kernel void apply_opencl_kernel(__global NumericT const * values_x, \n"</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="stringliteral">" __global NumericT * values_y, \n"</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="stringliteral">" unsigned int N) {\n"</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="stringliteral">" NumericT dx = (NumericT)1 / (N + 1); \n"</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="stringliteral">" NumericT dy = (NumericT)1 / (N + 1); \n"</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> </div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="stringliteral">" for (unsigned int i = get_group_id(0); i < N; i += get_num_groups(0)) \n"</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="stringliteral">" for (unsigned int j = get_local_id(0); j < N; j += get_local_size(0)) { \n"</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="stringliteral">" NumericT value_right = (j < N - 1) ? values_x[ i *N + j + 1] : 0; \n"</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="stringliteral">" NumericT value_left = (j > 0 ) ? values_x[ i *N + j - 1] : 0; \n"</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="stringliteral">" NumericT value_top = (i < N - 1) ? values_x[(i+1)*N + j ] : 0; \n"</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="stringliteral">" NumericT value_bottom = (i > 0 ) ? values_x[(i-1)*N + j ] : 0; \n"</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="stringliteral">" NumericT value_center = values_x[i*N + j]; \n"</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="stringliteral">" values_y[i*N + j] = ((value_right - value_center) / dx - (value_center - value_left) / dx) / dx \n"</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="stringliteral">" + ((value_top - value_center) / dy - (value_center - value_bottom) / dy) / dy; \n"</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="stringliteral">" } \n"</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="stringliteral">" } \n"</span>;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="preprocessor">#if defined(VIENNACL_WITH_OPENCL)</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="keywordtype">void</span> MyOperator<NumericT>::apply_opencl(<a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x, <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> & y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> & ctx = <span class="keyword">const_cast<</span><a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &<span class="keyword">></span>(viennacl::traits::opencl_handle(x).context());</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">static</span> <span class="keywordtype">bool</span> first_run = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">if</span> (first_run) {</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#a9094ac71f0cdf80df698c0c84ebb483d">add_program</a>(my_compute_program, <span class="stringliteral">"my_compute_program"</span>);</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  first_run = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  }</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> & my_kernel = ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(<span class="stringliteral">"my_compute_program"</span>, <span class="stringliteral">"apply_opencl_kernel"</span>);</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(my_kernel(x, y, static_cast<cl_uint>(N_)));</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </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="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="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 &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="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="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="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_html_a00b40450b6b2fd87aad3527d9b2084b8adb37af613f34867568e4f6cf720c68b1"><div class="ttname"><a href="namespaceviennacl.html#a00b40450b6b2fd87aad3527d9b2084b8adb37af613f34867568e4f6cf720c68b1">viennacl::OPENCL_MEMORY</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00349">forwards.h:349</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a6e9b329b64ac782e6a5687ad2fc47a2a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a></div><div class="ttdeci">VectorT solve(MatrixT const &matrix, VectorT const &rhs, bicgstab_tag const &tag, PreconditionerT const &precond)</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00496">bicgstab.hpp:496</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html_a9094ac71f0cdf80df698c0c84ebb483d"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html#a9094ac71f0cdf80df698c0c84ebb483d">viennacl::ocl::context::add_program</a></div><div class="ttdeci">viennacl::ocl::program & add_program(cl_program p, std::string const &prog_name)</div><div class="ttdoc">Adds a program to the context. </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00368">context.hpp:368</a></div></div>
<div class="ttc" id="gmres_8hpp_html"><div class="ttname"><a href="gmres_8hpp.html">gmres.hpp</a></div><div class="ttdoc">Implementations of the generalized minimum residual method are in this file. </div></div>
<div class="ttc" id="namespaceviennacl_html_a00b40450b6b2fd87aad3527d9b2084b8ab58facda25e2c7e20d9fe1b5e62f46d2"><div class="ttname"><a href="namespaceviennacl.html#a00b40450b6b2fd87aad3527d9b2084b8ab58facda25e2c7e20d9fe1b5e62f46d2">viennacl::CUDA_MEMORY</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00350">forwards.h:350</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 & get_kernel(std::string const &program_name, std::string const &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="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base< NumericT ></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_1_1traits_html_aad443a796634a9648e19b4156fcd880d"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aad443a796634a9648e19b4156fcd880d">viennacl::traits::active_handle_id</a></div><div class="ttdeci">viennacl::memory_types active_handle_id(T const &obj)</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_2handle_8hpp_source.html#l00218">handle.hpp:218</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a00b40450b6b2fd87aad3527d9b2084b8a427356f0fb1b8d32b28f37e36b272df4"><div class="ttname"><a href="namespaceviennacl.html#a00b40450b6b2fd87aad3527d9b2084b8a427356f0fb1b8d32b28f37e36b272df4">viennacl::MAIN_MEMORY</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00348">forwards.h:348</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 &k, viennacl::ocl::command_queue const &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="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="structviennacl_1_1scalar__vector_html"><div class="ttname"><a href="structviennacl_1_1scalar__vector.html">viennacl::scalar_vector</a></div><div class="ttdoc">Represents a vector consisting of scalars 's' only, i.e. v[i] = s for all i. To be used as an initial...</div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00087">vector_def.hpp:87</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="classviennacl_1_1linalg_1_1cg__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::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="cg_8hpp_source.html#l00048">cg.hpp:48</a></div></div>
<div class="ttc" id="namespaceviennacl_html_ae7d5db0c2c91be75218db5b52c4d13da"><div class="ttname"><a href="namespaceviennacl.html#ae7d5db0c2c91be75218db5b52c4d13da">viennacl::cuda_arg</a></div><div class="ttdeci">NumericT * cuda_arg(scalar< NumericT > &obj)</div><div class="ttdoc">Convenience helper function for extracting the CUDA handle from a ViennaCL scalar. Non-const version. </div><div class="ttdef"><b>Definition:</b> <a href="linalg_2cuda_2common_8hpp_source.html#l00039">common.hpp:39</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="classviennacl_1_1vector__base_html_a64e98aea5aa298ad63e3832a04c19648"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a64e98aea5aa298ad63e3832a04c19648">viennacl::vector_base::handle</a></div><div class="ttdeci">const handle_type & handle() const </div><div class="ttdoc">Returns the memory handle. </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00128">vector_def.hpp:128</a></div></div>
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