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<div id="projectname">ViennaCL - The Vienna Computing Library
 <span id="projectnumber">1.7.1</span>
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<div id="projectbrief">Free open-source GPU-accelerated linear algebra and solver library.</div>
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<div class="title">iterative-mtl4.cpp</div> </div>
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<p>The following tutorial shows how to use the iterative solvers in ViennaCL with objects from the <a href="http://www.mtl4.org/">MTL4 Library</a> directly.</p>
<dl class="section note"><dt>Note</dt><dd>MTL4 provides iterative solvers through the ITK library. You might also want to check these.</dd></dl>
<p>We begin with including the necessary headers: </p>
<div class="fragment"><div class="line"><span class="comment">// include necessary system headers</span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// MTL4 headers</span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/mtl/mtl.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/itl/itl.hpp></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// Must be set prior to any ViennaCL includes if you want to use ViennaCL algorithms on Eigen objects</span></div>
<div class="line"><span class="preprocessor">#define VIENNACL_WITH_MTL4 1</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// ViennaCL includes</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="gmres_8hpp.html">viennacl/linalg/gmres.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__market_8hpp.html">viennacl/io/matrix_market.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// Some helper functions for this tutorial:</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="vector-io_8hpp.html">vector-io.hpp</a>"</span></div>
</div><!-- fragment --><p> In the following we run the CG method, the BiCGStab method, and the GMRES method with MTL4 types directly. First, the matrices are set up, then the respective solvers are called. </p>
<div class="fragment"><div class="line"><span class="keywordtype">int</span> <a name="a0"></a><a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span>, <span class="keywordtype">char</span> *[])</div>
<div class="line">{</div>
<div class="line"> <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a name="a1"></a><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"></div>
<div class="line"> mtl::compressed2D<ScalarType> mtl4_matrix;</div>
<div class="line"> mtl4_matrix.change_dim(65025, 65025);</div>
<div class="line"> set_to_zero(mtl4_matrix);</div>
<div class="line"></div>
<div class="line"> mtl::dense_vector<ScalarType> mtl4_rhs(65025, 1.0);</div>
<div class="line"> mtl::dense_vector<ScalarType> mtl4_result(65025, 0.0);</div>
<div class="line"> mtl::dense_vector<ScalarType> mtl4_residual(65025, 0.0);</div>
</div><!-- fragment --><p> Read system from file </p>
<div class="fragment"><div class="line">mtl::io::matrix_market_istream(<span class="stringliteral">"../examples/testdata/mat65k.mtx"</span>) >> mtl4_matrix;</div>
</div><!-- fragment --><p> Conjugate Gradient (CG) solver: </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"----- Running CG -----"</span> << std::endl;</div>
<div class="line">mtl4_result = <a name="a2"></a><a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(mtl4_matrix, mtl4_rhs, <a name="_a3"></a><a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>());</div>
<div class="line"></div>
<div class="line">mtl4_residual = mtl4_matrix * mtl4_result - mtl4_rhs;</div>
<div class="line">std::cout << <span class="stringliteral">"Relative residual: "</span> << <a name="a4"></a><a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_rhs) << std::endl;</div>
</div><!-- fragment --><p> Stabilized Bi-Conjugate Gradient (BiCGStab) solver: </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"----- Running BiCGStab -----"</span> << std::endl;</div>
<div class="line">mtl4_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(mtl4_matrix, mtl4_rhs, <a name="_a5"></a><a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>());</div>
<div class="line"></div>
<div class="line">mtl4_residual = mtl4_matrix * mtl4_result - mtl4_rhs;</div>
<div class="line">std::cout << <span class="stringliteral">"Relative residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_rhs) << std::endl;</div>
</div><!-- fragment --><p> Generalized Minimum Residual (GMRES) solver: </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"----- Running GMRES -----"</span> << std::endl;</div>
<div class="line">mtl4_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(mtl4_matrix, mtl4_rhs, <a name="_a6"></a><a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>());</div>
<div class="line"></div>
<div class="line">mtl4_residual = mtl4_matrix * mtl4_result - mtl4_rhs;</div>
<div class="line">std::cout << <span class="stringliteral">"Relative residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_rhs) << std::endl;</div>
</div><!-- fragment --><p> That's it. Print a success message and exit. </p>
<div class="fragment"><div class="line"> std::cout << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"> std::cout << std::endl;</div>
<div class="line">}</div>
</div><!-- fragment --> <h2>Full Example Code</h2>
<div class="fragment"><div class="line"><span class="comment">/* =========================================================================</span></div>
<div class="line"><span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><span class="comment"> TU Wien.</span></div>
<div class="line"><span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> -----------------</span></div>
<div class="line"><span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><span class="comment"> -----------------</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><span class="comment">============================================================================= */</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// include necessary system headers</span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// MTL4 headers</span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/mtl/mtl.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/itl/itl.hpp></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// Must be set prior to any ViennaCL includes if you want to use ViennaCL algorithms on Eigen objects</span></div>
<div class="line"><span class="preprocessor">#define VIENNACL_WITH_MTL4 1</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// ViennaCL includes</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="gmres_8hpp.html">viennacl/linalg/gmres.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__market_8hpp.html">viennacl/io/matrix_market.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// Some helper functions for this tutorial:</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="vector-io_8hpp.html">vector-io.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span>, <span class="keywordtype">char</span> *[])</div>
<div class="line">{</div>
<div class="line"> <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"></div>
<div class="line"> mtl::compressed2D<ScalarType> mtl4_matrix;</div>
<div class="line"> mtl4_matrix.change_dim(65025, 65025);</div>
<div class="line"> set_to_zero(mtl4_matrix);</div>
<div class="line"></div>
<div class="line"> mtl::dense_vector<ScalarType> mtl4_rhs(65025, 1.0);</div>
<div class="line"> mtl::dense_vector<ScalarType> mtl4_result(65025, 0.0);</div>
<div class="line"> mtl::dense_vector<ScalarType> mtl4_residual(65025, 0.0);</div>
<div class="line"></div>
<div class="line"> mtl::io::matrix_market_istream(<span class="stringliteral">"../examples/testdata/mat65k.mtx"</span>) >> mtl4_matrix;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"----- Running CG -----"</span> << std::endl;</div>
<div class="line"> mtl4_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(mtl4_matrix, mtl4_rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>());</div>
<div class="line"></div>
<div class="line"> mtl4_residual = mtl4_matrix * mtl4_result - mtl4_rhs;</div>
<div class="line"> std::cout << <span class="stringliteral">"Relative residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_rhs) << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"----- Running BiCGStab -----"</span> << std::endl;</div>
<div class="line"> mtl4_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(mtl4_matrix, mtl4_rhs, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>());</div>
<div class="line"></div>
<div class="line"> mtl4_residual = mtl4_matrix * mtl4_result - mtl4_rhs;</div>
<div class="line"> std::cout << <span class="stringliteral">"Relative residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_rhs) << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"----- Running GMRES -----"</span> << std::endl;</div>
<div class="line"> mtl4_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(mtl4_matrix, mtl4_rhs, <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>());</div>
<div class="line"></div>
<div class="line"> mtl4_residual = mtl4_matrix * mtl4_result - mtl4_rhs;</div>
<div class="line"> std::cout << <span class="stringliteral">"Relative residual: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(mtl4_rhs) << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"> std::cout << std::endl;</div>
<div class="line">}</div>
<div class="line"></div>
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