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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">fft.cpp</div> </div>
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<div class="contents">
<p>This tutorial showcasts FFT functionality.</p>
<dl class="section note"><dt>Note</dt><dd>The FFT module is experimental in ViennaCL. The API might change in future versions.</dd></dl>
<p>We start with including the respective 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"><span class="preprocessor">#include <vector></span></div>
<div class="line"><span class="preprocessor">#include <cmath></span></div>
<div class="line"><span class="preprocessor">#include <complex></span></div>
<div class="line"><span class="preprocessor">#include <fstream></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// include basic scalar and vector types of ViennaCL</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// include FFT routines</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="fft_8hpp.html">viennacl/fft.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="fft__operations_8hpp.html">viennacl/linalg/fft_operations.hpp</a>"</span></div>
</div><!-- fragment --><p> In the <a class="el" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main()</a>-routine we create a few vectors and matrices and then run FFT on them. </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>()</div>
<div class="line">{</div>
<div class="line"> <span class="comment">// Feel free to change this type definition to double if your gpu supports that</span></div>
<div class="line"> <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a name="a1"></a><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"></div>
<div class="line"> <span class="comment">// Create vectors of eight complex values (represented as pairs of floating point values: [real_0, imag_0, real_1, imag_1, etc.])</span></div>
<div class="line"> <a name="_a2"></a><a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> input_vec(16);</div>
<div class="line"> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> output_vec(16);</div>
<div class="line"> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> input2_vec(16);</div>
<div class="line"></div>
<div class="line"> <a name="_a3"></a><a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> m(4, 8);</div>
<div class="line"> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> o(4, 8);</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t i = 0; i < m.<a name="a4"></a><a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); i++)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t s = 0; s < m.<a name="a5"></a><a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>(); s++)</div>
<div class="line"> m(i, s) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>((i + s) / 2);</div>
</div><!-- fragment --><p> Fill the vectors and matrices with values by using operator(). Use <a class="el" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453" title="Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...">viennacl::copy()</a> for larger data! </p>
<div class="fragment"><div class="line"><span class="keywordflow">for</span> (std::size_t i = 0; i < input_vec.<a name="a6"></a><a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(); ++i)</div>
<div class="line">{</div>
<div class="line"> <span class="keywordflow">if</span> (i % 2 == 0)</div>
<div class="line"> {</div>
<div class="line"> input_vec(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i / 2); <span class="comment">// even indices represent real part</span></div>
<div class="line"> input2_vec(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i / 2);</div>
<div class="line"> } <span class="keywordflow">else</span></div>
<div class="line"> input_vec(i) = 0; <span class="comment">// odd indices represent imaginary part</span></div>
<div class="line">}</div>
</div><!-- fragment --><p> Compute the FFT and store result in 'output_vec' </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Computing FFT Matrix"</span> << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"><a name="a7"></a><a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(m, o);</div>
<div class="line">std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"Transpose"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"><a name="a8"></a><a class="code" href="namespaceviennacl_1_1linalg.html#ae829451e793471ca5e8751cf89fec950">viennacl::linalg::transpose</a>(m, o);</div>
<div class="line"><span class="comment">//viennacl::linalg::transpose(m);</span></div>
<div class="line">std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"></div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
</div><!-- fragment --><p> Compute the FFT using the Bluestein algorithm (usually faster, but higher memory footprint) </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Computing FFT bluestein"</span> << std::endl;</div>
<div class="line"><span class="comment">// Print the vector</span></div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"><a name="a9"></a><a class="code" href="namespaceviennacl_1_1linalg.html#a4da8975bfe53f8a05145c8b44410ab27">viennacl::linalg::bluestein</a>(input_vec, output_vec, 0);</div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
</div><!-- fragment --><p> Computing the standard radix-FFT for a vector </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Computing FFT "</span> << std::endl;</div>
<div class="line"><span class="comment">// Print the vector</span></div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"><a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(input_vec, output_vec);</div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
</div><!-- fragment --><p> Computing the standard inverse radix-FFT for a vector </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Computing inverse FFT..."</span> << std::endl;</div>
<div class="line"><span class="comment">//viennacl::ifft(output_vec, input_vec); // either store result into output_vec</span></div>
<div class="line">viennacl::inplace_ifft(output_vec); <span class="comment">// or compute in-place</span></div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
</div><!-- fragment --><p> Convert a real vector to an interleaved complex vector and back. Entries with even indices represent real parts, odd indices imaginary parts. </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Computing real to complex..."</span> << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="a10"></a><a class="code" href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a>(input_vec, output_vec, input_vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() / 2); <span class="comment">// or compute in-place</span></div>
<div class="line">std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line">std::cout << <span class="stringliteral">"Computing complex to real..."</span> << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><span class="comment">//viennacl::ifft(output_vec, input_vec); // either store result into output_vec</span></div>
<div class="line"><a name="a11"></a><a class="code" href="namespaceviennacl_1_1linalg.html#a45f767da9ec63fd7e37c1fae58dc2727">viennacl::linalg::complex_to_real</a>(input_vec, output_vec, input_vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() / 2); <span class="comment">// or compute in-place</span></div>
<div class="line">std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
</div><!-- fragment --><p> Point-wise multiplication of two complex vectors. </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Computing multiply complex"</span> << std::endl;</div>
<div class="line"><span class="comment">// Print the vector</span></div>
<div class="line">std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"input2_vec: "</span> << input2_vec << std::endl;</div>
<div class="line"><a name="a12"></a><a class="code" href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a>(input_vec, input2_vec, output_vec);</div>
<div class="line">std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
</div><!-- fragment --><p> That's it. </p>
<div class="fragment"><div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</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"><span class="preprocessor">#include <vector></span></div>
<div class="line"><span class="preprocessor">#include <cmath></span></div>
<div class="line"><span class="preprocessor">#include <complex></span></div>
<div class="line"><span class="preprocessor">#include <fstream></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// include basic scalar and vector types of ViennaCL</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// include FFT routines</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="fft_8hpp.html">viennacl/fft.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="fft__operations_8hpp.html">viennacl/linalg/fft_operations.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>()</div>
<div class="line">{</div>
<div class="line"> <span class="comment">// Feel free to change this type definition to double if your gpu supports that</span></div>
<div class="line"> <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"></div>
<div class="line"> <span class="comment">// Create vectors of eight complex values (represented as pairs of floating point values: [real_0, imag_0, real_1, imag_1, etc.])</span></div>
<div class="line"> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> input_vec(16);</div>
<div class="line"> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> output_vec(16);</div>
<div class="line"> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> input2_vec(16);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> m(4, 8);</div>
<div class="line"> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> o(4, 8);</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t i = 0; i < m.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); i++)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t s = 0; s < m.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>(); s++)</div>
<div class="line"> m(i, s) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>((i + s) / 2);</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t i = 0; i < input_vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(); ++i)</div>
<div class="line"> {</div>
<div class="line"> <span class="keywordflow">if</span> (i % 2 == 0)</div>
<div class="line"> {</div>
<div class="line"> input_vec(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i / 2); <span class="comment">// even indices represent real part</span></div>
<div class="line"> input2_vec(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i / 2);</div>
<div class="line"> } <span class="keywordflow">else</span></div>
<div class="line"> input_vec(i) = 0; <span class="comment">// odd indices represent imaginary part</span></div>
<div class="line"> }</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing FFT Matrix"</span> << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"> <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(m, o);</div>
<div class="line"> std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"Transpose"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> <a class="code" href="namespaceviennacl_1_1linalg.html#ae829451e793471ca5e8751cf89fec950">viennacl::linalg::transpose</a>(m, o);</div>
<div class="line"> <span class="comment">//viennacl::linalg::transpose(m);</span></div>
<div class="line"> std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing FFT bluestein"</span> << std::endl;</div>
<div class="line"> <span class="comment">// Print the vector</span></div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"> <a class="code" href="namespaceviennacl_1_1linalg.html#a4da8975bfe53f8a05145c8b44410ab27">viennacl::linalg::bluestein</a>(input_vec, output_vec, 0);</div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing FFT "</span> << std::endl;</div>
<div class="line"> <span class="comment">// Print the vector</span></div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"> <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(input_vec, output_vec);</div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing inverse FFT..."</span> << std::endl;</div>
<div class="line"> <span class="comment">//viennacl::ifft(output_vec, input_vec); // either store result into output_vec</span></div>
<div class="line"> viennacl::inplace_ifft(output_vec); <span class="comment">// or compute in-place</span></div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing real to complex..."</span> << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> <a class="code" href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a>(input_vec, output_vec, input_vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() / 2); <span class="comment">// or compute in-place</span></div>
<div class="line"> std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing complex to real..."</span> << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> <span class="comment">//viennacl::ifft(output_vec, input_vec); // either store result into output_vec</span></div>
<div class="line"> <a class="code" href="namespaceviennacl_1_1linalg.html#a45f767da9ec63fd7e37c1fae58dc2727">viennacl::linalg::complex_to_real</a>(input_vec, output_vec, input_vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() / 2); <span class="comment">// or compute in-place</span></div>
<div class="line"> std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"Computing multiply complex"</span> << std::endl;</div>
<div class="line"> <span class="comment">// Print the vector</span></div>
<div class="line"> std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"input2_vec: "</span> << input2_vec << std::endl;</div>
<div class="line"> <a class="code" href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a>(input_vec, input2_vec, output_vec);</div>
<div class="line"> std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line">}</div>
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