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<div class="title">matrix-range.cpp</div> </div>
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<div class="contents">
<p>This tutorial explains the use of matrix ranges with simple BLAS level 1 and 2 operations.</p>
<p>We start with including the necessary headers: </p>
<div class="fragment"><div class="line"><span class="comment">// activate ublas support in ViennaCL</span></div>
<div class="line"><span class="preprocessor">#define VIENNACL_WITH_UBLAS</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// System headers</span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="preprocessor">#include <string></span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// ViennaCL headers</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.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"><span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__proxy_8hpp.html">viennacl/matrix_proxy.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// Boost headers</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
</div><!-- fragment --><p> In the <a class="el" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main()</a> routine we set up Boost.uBLAS as well as ViennaCL objects. A few standard operations on submatrices are performed by using the matrix_range<> view available in both libraries. </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="keyword">const</span> <span class="keywordtype">char</span> **)</div>
<div class="line">{</div>
<div class="line"> <span class="comment">// feel free to change this to 'double' if supported by your hardware</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"> <span class="keyword">typedef</span> boost::numeric::ublas::matrix<ScalarType> MatrixType;</div>
<div class="line"></div>
<div class="line"> <span class="keyword">typedef</span> <a name="_a2"></a><a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType, viennacl::row_major></a> VCLMatrixType;</div>
</div><!-- fragment --><p> Setup ublas objects and fill with data: </p>
<div class="fragment"><div class="line">std::size_t dim_large = 5;</div>
<div class="line">std::size_t dim_small = 3;</div>
<div class="line"></div>
<div class="line">MatrixType ublas_A(dim_large, dim_large);</div>
<div class="line">MatrixType ublas_B(dim_small, dim_small);</div>
<div class="line">MatrixType ublas_C(dim_large, dim_small);</div>
<div class="line">MatrixType ublas_D(dim_small, dim_large);</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="keywordflow">for</span> (std::size_t i=0; i<ublas_A.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_A.size2(); ++j)</div>
<div class="line"> ublas_A(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((i+1) + (j+1)*(i+1));</div>
<div class="line"></div>
<div class="line"><span class="keywordflow">for</span> (std::size_t i=0; i<ublas_B.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_B.size2(); ++j)</div>
<div class="line"> ublas_B(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((i+1) + (j+1)*(i+1));</div>
<div class="line"></div>
<div class="line"><span class="keywordflow">for</span> (std::size_t i=0; i<ublas_C.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_C.size2(); ++j)</div>
<div class="line"> ublas_C(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((j+2) + (j+1)*(i+1));</div>
<div class="line"></div>
<div class="line"><span class="keywordflow">for</span> (std::size_t i=0; i<ublas_D.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_D.size2(); ++j)</div>
<div class="line"> ublas_D(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((j+2) + (j+1)*(i+1));</div>
</div><!-- fragment --><p> Extract submatrices using the ranges in ublas </p>
<div class="fragment"><div class="line"><a name="a3"></a><a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a> ublas_r1(0, dim_small); <span class="comment">//the first 'dim_small' entries</span></div>
<div class="line"><a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a> ublas_r2(dim_large - dim_small, dim_large); <span class="comment">//the last 'dim_small' entries</span></div>
<div class="line">boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub1(ublas_A, ublas_r1, ublas_r1); <span class="comment">//upper left part of A</span></div>
<div class="line">boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub2(ublas_A, ublas_r2, ublas_r2); <span class="comment">//lower right part of A</span></div>
<div class="line"></div>
<div class="line">boost::numeric::ublas::matrix_range<MatrixType> ublas_C_sub(ublas_C, ublas_r1, ublas_r1); <span class="comment">//upper left part of C</span></div>
<div class="line">boost::numeric::ublas::matrix_range<MatrixType> ublas_D_sub(ublas_D, ublas_r1, ublas_r1); <span class="comment">//upper left part of D</span></div>
</div><!-- fragment --><p> Setup ViennaCL objects and copy data from uBLAS objects </p>
<div class="fragment"><div class="line">VCLMatrixType vcl_A(dim_large, dim_large);</div>
<div class="line">VCLMatrixType vcl_B(dim_small, dim_small);</div>
<div class="line">VCLMatrixType vcl_C(dim_large, dim_small);</div>
<div class="line">VCLMatrixType vcl_D(dim_small, dim_large);</div>
<div class="line"></div>
<div class="line"><a name="a4"></a><a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_A, vcl_A);</div>
<div class="line"><a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_B, vcl_B);</div>
<div class="line"><a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_C, vcl_C);</div>
<div class="line"><a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_D, vcl_D);</div>
</div><!-- fragment --><p> Extract submatrices using the ranges in ViennaCL. Similar to the code above for uBLAS. </p>
<div class="fragment"><div class="line"><a name="_a5"></a><a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> vcl_r1(0, dim_small); <span class="comment">//the first 'dim_small' entries</span></div>
<div class="line"><a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> vcl_r2(dim_large - dim_small, dim_large); <span class="comment">//the last 'dim_small' entries</span></div>
<div class="line"><a name="_a6"></a><a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_A_sub1(vcl_A, vcl_r1, vcl_r1); <span class="comment">//upper left part of A</span></div>
<div class="line"><a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_A_sub2(vcl_A, vcl_r2, vcl_r2); <span class="comment">//lower right part of A</span></div>
<div class="line"></div>
<div class="line"><a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_C_sub(vcl_C, vcl_r1, vcl_r1); <span class="comment">//upper left part of C</span></div>
<div class="line"><a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_D_sub(vcl_D, vcl_r1, vcl_r1); <span class="comment">//upper left part of D</span></div>
</div><!-- fragment --><p> First use case: Copy from ublas to submatrices and back: </p>
<div class="fragment"><div class="line">ublas_A_sub1 = ublas_B;</div>
<div class="line"><a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_B, vcl_A_sub1);</div>
<div class="line"><a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_A_sub1, ublas_B);</div>
</div><!-- fragment --><p> Second use case: Addition of matrices. </p>
<div class="fragment"><div class="line"><span class="comment">// range to range:</span></div>
<div class="line">ublas_A_sub2 += ublas_A_sub2;</div>
<div class="line">vcl_A_sub2 += vcl_A_sub2;</div>
<div class="line"></div>
<div class="line"><span class="comment">// range to matrix:</span></div>
<div class="line">ublas_B += ublas_A_sub2;</div>
<div class="line">vcl_B += vcl_A_sub2;</div>
</div><!-- fragment --><p> Third use case: Matrix range with matrix-matrix product: </p>
<div class="fragment"><div class="line">ublas_A_sub1 += <a name="a7"></a><a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_C_sub, ublas_D_sub);</div>
<div class="line">vcl_A_sub1 += <a name="a8"></a><a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_C_sub, vcl_D_sub);</div>
</div><!-- fragment --><p> Print result matrices: </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"Result ublas: "</span> << ublas_A << std::endl;</div>
<div class="line">std::cout << <span class="stringliteral">"Result ViennaCL: "</span> << vcl_A << std::endl;</div>
</div><!-- fragment --><p> That's it. Print a success message: </p>
<div class="fragment"><div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"></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">// activate ublas support in ViennaCL</span></div>
<div class="line"><span class="preprocessor">#define VIENNACL_WITH_UBLAS</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// System headers</span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="preprocessor">#include <string></span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// ViennaCL headers</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.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"><span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__proxy_8hpp.html">viennacl/matrix_proxy.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// Boost headers</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</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="keyword">const</span> <span class="keywordtype">char</span> **)</div>
<div class="line">{</div>
<div class="line"> <span class="comment">// feel free to change this to 'double' if supported by your hardware</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"> <span class="keyword">typedef</span> boost::numeric::ublas::matrix<ScalarType> MatrixType;</div>
<div class="line"></div>
<div class="line"> <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType, viennacl::row_major></a> VCLMatrixType;</div>
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<div class="line"> std::size_t dim_large = 5;</div>
<div class="line"> std::size_t dim_small = 3;</div>
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<div class="line"> MatrixType ublas_A(dim_large, dim_large);</div>
<div class="line"> MatrixType ublas_B(dim_small, dim_small);</div>
<div class="line"> MatrixType ublas_C(dim_large, dim_small);</div>
<div class="line"> MatrixType ublas_D(dim_small, dim_large);</div>
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<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t i=0; i<ublas_A.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_A.size2(); ++j)</div>
<div class="line"> ublas_A(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((i+1) + (j+1)*(i+1));</div>
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<div class="line"> <span class="keywordflow">for</span> (std::size_t i=0; i<ublas_B.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_B.size2(); ++j)</div>
<div class="line"> ublas_B(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((i+1) + (j+1)*(i+1));</div>
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<div class="line"> <span class="keywordflow">for</span> (std::size_t i=0; i<ublas_C.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_C.size2(); ++j)</div>
<div class="line"> ublas_C(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((j+2) + (j+1)*(i+1));</div>
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<div class="line"> <span class="keywordflow">for</span> (std::size_t i=0; i<ublas_D.size1(); ++i)</div>
<div class="line"> <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_D.size2(); ++j)</div>
<div class="line"> ublas_D(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((j+2) + (j+1)*(i+1));</div>
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<div class="line"> <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a> ublas_r1(0, dim_small); <span class="comment">//the first 'dim_small' entries</span></div>
<div class="line"> <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a> ublas_r2(dim_large - dim_small, dim_large); <span class="comment">//the last 'dim_small' entries</span></div>
<div class="line"> boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub1(ublas_A, ublas_r1, ublas_r1); <span class="comment">//upper left part of A</span></div>
<div class="line"> boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub2(ublas_A, ublas_r2, ublas_r2); <span class="comment">//lower right part of A</span></div>
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<div class="line"> boost::numeric::ublas::matrix_range<MatrixType> ublas_C_sub(ublas_C, ublas_r1, ublas_r1); <span class="comment">//upper left part of C</span></div>
<div class="line"> boost::numeric::ublas::matrix_range<MatrixType> ublas_D_sub(ublas_D, ublas_r1, ublas_r1); <span class="comment">//upper left part of D</span></div>
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<div class="line"> VCLMatrixType vcl_A(dim_large, dim_large);</div>
<div class="line"> VCLMatrixType vcl_B(dim_small, dim_small);</div>
<div class="line"> VCLMatrixType vcl_C(dim_large, dim_small);</div>
<div class="line"> VCLMatrixType vcl_D(dim_small, dim_large);</div>
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<div class="line"> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_A, vcl_A);</div>
<div class="line"> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_B, vcl_B);</div>
<div class="line"> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_C, vcl_C);</div>
<div class="line"> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_D, vcl_D);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> vcl_r1(0, dim_small); <span class="comment">//the first 'dim_small' entries</span></div>
<div class="line"> <a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> vcl_r2(dim_large - dim_small, dim_large); <span class="comment">//the last 'dim_small' entries</span></div>
<div class="line"> <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_A_sub1(vcl_A, vcl_r1, vcl_r1); <span class="comment">//upper left part of A</span></div>
<div class="line"> <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_A_sub2(vcl_A, vcl_r2, vcl_r2); <span class="comment">//lower right part of A</span></div>
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<div class="line"> <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_C_sub(vcl_C, vcl_r1, vcl_r1); <span class="comment">//upper left part of C</span></div>
<div class="line"> <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<VCLMatrixType></a> vcl_D_sub(vcl_D, vcl_r1, vcl_r1); <span class="comment">//upper left part of D</span></div>
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<div class="line"> ublas_A_sub1 = ublas_B;</div>
<div class="line"> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_B, vcl_A_sub1);</div>
<div class="line"> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_A_sub1, ublas_B);</div>
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<div class="line"> <span class="comment">// range to range:</span></div>
<div class="line"> ublas_A_sub2 += ublas_A_sub2;</div>
<div class="line"> vcl_A_sub2 += vcl_A_sub2;</div>
<div class="line"></div>
<div class="line"> <span class="comment">// range to matrix:</span></div>
<div class="line"> ublas_B += ublas_A_sub2;</div>
<div class="line"> vcl_B += vcl_A_sub2;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> ublas_A_sub1 += <a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_C_sub, ublas_D_sub);</div>
<div class="line"> vcl_A_sub1 += <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_C_sub, vcl_D_sub);</div>
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<div class="line"> std::cout << <span class="stringliteral">"Result ublas: "</span> << ublas_A << std::endl;</div>
<div class="line"> std::cout << <span class="stringliteral">"Result ViennaCL: "</span> << vcl_A << std::endl;</div>
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<div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
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<div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line">}</div>
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