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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">spai-dynamic.hpp File Reference</div> </div>
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<p>Implementation of a dynamic SPAI. Provides the routines for automatic pattern updates Experimental.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include <utility></code><br/>
<code>#include <iostream></code><br/>
<code>#include <fstream></code><br/>
<code>#include <string></code><br/>
<code>#include <algorithm></code><br/>
<code>#include <vector></code><br/>
<code>#include <math.h></code><br/>
<code>#include <map></code><br/>
<code>#include "boost/numeric/ublas/vector.hpp"</code><br/>
<code>#include "boost/numeric/ublas/matrix.hpp"</code><br/>
<code>#include "boost/numeric/ublas/matrix_proxy.hpp"</code><br/>
<code>#include "boost/numeric/ublas/vector_proxy.hpp"</code><br/>
<code>#include "boost/numeric/ublas/storage.hpp"</code><br/>
<code>#include "boost/numeric/ublas/io.hpp"</code><br/>
<code>#include "boost/numeric/ublas/lu.hpp"</code><br/>
<code>#include "boost/numeric/ublas/triangular.hpp"</code><br/>
<code>#include "boost/numeric/ublas/matrix_expression.hpp"</code><br/>
<code>#include "<a class="el" href="prod_8hpp_source.html">viennacl/linalg/prod.hpp</a>"</code><br/>
<code>#include "<a class="el" href="matrix_8hpp_source.html">viennacl/matrix.hpp</a>"</code><br/>
<code>#include "<a class="el" href="compressed__matrix_8hpp_source.html">viennacl/compressed_matrix.hpp</a>"</code><br/>
<code>#include "<a class="el" href="sparse__matrix__operations_8hpp_source.html">viennacl/linalg/sparse_matrix_operations.hpp</a>"</code><br/>
<code>#include "<a class="el" href="matrix__operations_8hpp_source.html">viennacl/linalg/matrix_operations.hpp</a>"</code><br/>
<code>#include "<a class="el" href="scalar_8hpp_source.html">viennacl/scalar.hpp</a>"</code><br/>
<code>#include "<a class="el" href="cg_8hpp_source.html">viennacl/linalg/cg.hpp</a>"</code><br/>
<code>#include "<a class="el" href="inner__prod_8hpp_source.html">viennacl/linalg/inner_prod.hpp</a>"</code><br/>
<code>#include "<a class="el" href="ilu_8hpp_source.html">viennacl/linalg/ilu.hpp</a>"</code><br/>
<code>#include "<a class="el" href="backend_8hpp_source.html">viennacl/ocl/backend.hpp</a>"</code><br/>
<code>#include "<a class="el" href="block__matrix_8hpp_source.html">viennacl/linalg/detail/spai/block_matrix.hpp</a>"</code><br/>
<code>#include "<a class="el" href="block__vector_8hpp_source.html">viennacl/linalg/detail/spai/block_vector.hpp</a>"</code><br/>
<code>#include "<a class="el" href="detail_2spai_2qr_8hpp_source.html">viennacl/linalg/detail/spai/qr.hpp</a>"</code><br/>
<code>#include "<a class="el" href="spai-static_8hpp_source.html">viennacl/linalg/detail/spai/spai-static.hpp</a>"</code><br/>
<code>#include "<a class="el" href="detail_2spai_2spai_8hpp_source.html">viennacl/linalg/detail/spai/spai.hpp</a>"</code><br/>
<code>#include "<a class="el" href="spai__tag_8hpp_source.html">viennacl/linalg/detail/spai/spai_tag.hpp</a>"</code><br/>
<code>#include "<a class="el" href="opencl_2kernels_2spai_8hpp_source.html">viennacl/linalg/opencl/kernels/spai.hpp</a>"</code><br/>
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<p><a href="spai-dynamic_8hpp_source.html">Go to the source code of this file.</a></p>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html">viennacl::linalg::detail::spai::CompareSecond</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Helper functor for comparing std::pair<> based on the second member. <a href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html#details">More...</a><br/></td></tr>
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<tr class="memdesc:namespaceviennacl_1_1linalg_1_1detail_1_1spai"><td class="mdescLeft"> </td><td class="mdescRight">Implementation namespace for sparse approximate inverse preconditioner. <br/></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a4ed76d80fb1f213aa6ac3df4756a173a"><td class="memTemplParams" colspan="2">template<typename MatrixT > </td></tr>
<tr class="memitem:a4ed76d80fb1f213aa6ac3df4756a173a"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4ed76d80fb1f213aa6ac3df4756a173a">viennacl::linalg::detail::spai::composeNewR</a> (MatrixT const &A, MatrixT const &R_n, MatrixT &R)</td></tr>
<tr class="memdesc:a4ed76d80fb1f213aa6ac3df4756a173a"><td class="mdescLeft"> </td><td class="mdescRight">Composition of new matrix R, that is going to be used in Least Square problem solving. <a href="#a4ed76d80fb1f213aa6ac3df4756a173a">More...</a><br/></td></tr>
<tr class="separator:a4ed76d80fb1f213aa6ac3df4756a173a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a04f2cf7cafff244de64e0f5e54507963"><td class="memTemplParams" colspan="2">template<typename VectorT > </td></tr>
<tr class="memitem:a04f2cf7cafff244de64e0f5e54507963"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04f2cf7cafff244de64e0f5e54507963">viennacl::linalg::detail::spai::composeNewVector</a> (VectorT const &v_n, VectorT &v)</td></tr>
<tr class="memdesc:a04f2cf7cafff244de64e0f5e54507963"><td class="mdescLeft"> </td><td class="mdescRight">Composition of new vector of coefficients beta from QR factorizations(necessary for Q recovery) <a href="#a04f2cf7cafff244de64e0f5e54507963">More...</a><br/></td></tr>
<tr class="separator:a04f2cf7cafff244de64e0f5e54507963"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a76346f2d37c99cdda3737ad76942bdb2"><td class="memTemplParams" colspan="2">template<typename SparseVectorT , typename NumericT > </td></tr>
<tr class="memitem:a76346f2d37c99cdda3737ad76942bdb2"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a76346f2d37c99cdda3737ad76942bdb2">viennacl::linalg::detail::spai::sparse_norm_2</a> (SparseVectorT const &v, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> &norm)</td></tr>
<tr class="memdesc:a76346f2d37c99cdda3737ad76942bdb2"><td class="mdescLeft"> </td><td class="mdescRight">Computation of Euclidean norm for sparse vector. <a href="#a76346f2d37c99cdda3737ad76942bdb2">More...</a><br/></td></tr>
<tr class="separator:a76346f2d37c99cdda3737ad76942bdb2"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa76c2d795781c203de394c73c62b0420"><td class="memTemplParams" colspan="2">template<typename SparseVectorT , typename NumericT > </td></tr>
<tr class="memitem:aa76c2d795781c203de394c73c62b0420"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa76c2d795781c203de394c73c62b0420">viennacl::linalg::detail::spai::sparse_inner_prod</a> (SparseVectorT const &<a class="el" href="global__variables_8cpp.html#a1d3b09c2337808223ca760c55bdf5414">v1</a>, SparseVectorT const &<a class="el" href="global__variables_8cpp.html#a9b48d95dbfbe8e26ae8911c753406d37">v2</a>, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> &res_v)</td></tr>
<tr class="memdesc:aa76c2d795781c203de394c73c62b0420"><td class="mdescLeft"> </td><td class="mdescRight">Dot product of two sparse vectors. <a href="#aa76c2d795781c203de394c73c62b0420">More...</a><br/></td></tr>
<tr class="separator:aa76c2d795781c203de394c73c62b0420"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae53274082aa46458002bff392267fbaa"><td class="memTemplParams" colspan="2">template<typename SparseVectorT , typename NumericT > </td></tr>
<tr class="memitem:ae53274082aa46458002bff392267fbaa"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae53274082aa46458002bff392267fbaa">viennacl::linalg::detail::spai::buildAugmentedIndexSet</a> (std::vector< SparseVectorT > const &A_v_c, SparseVectorT const &res, std::vector< unsigned int > &J, std::vector< unsigned int > &J_u, spai_tag const &tag)</td></tr>
<tr class="memdesc:ae53274082aa46458002bff392267fbaa"><td class="mdescLeft"> </td><td class="mdescRight">Building a new set of column indices J_u, cf. Kallischko dissertation p.31. <a href="#ae53274082aa46458002bff392267fbaa">More...</a><br/></td></tr>
<tr class="separator:ae53274082aa46458002bff392267fbaa"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8ec10e331a15985f8d5fd3891332d60d"><td class="memTemplParams" colspan="2">template<typename SparseVectorT > </td></tr>
<tr class="memitem:a8ec10e331a15985f8d5fd3891332d60d"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8ec10e331a15985f8d5fd3891332d60d">viennacl::linalg::detail::spai::buildNewRowSet</a> (std::vector< SparseVectorT > const &A_v_c, std::vector< unsigned int > const &I, std::vector< unsigned int > const &J_n, std::vector< unsigned int > &I_n)</td></tr>
<tr class="memdesc:a8ec10e331a15985f8d5fd3891332d60d"><td class="mdescLeft"> </td><td class="mdescRight">Building a new indices to current set of row indices I_n, cf. Kallischko dissertation p.32. <a href="#a8ec10e331a15985f8d5fd3891332d60d">More...</a><br/></td></tr>
<tr class="separator:a8ec10e331a15985f8d5fd3891332d60d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a453c8768ecde4b09adaff9e130d8f3ed"><td class="memTemplParams" colspan="2">template<typename MatrixT > </td></tr>
<tr class="memitem:a453c8768ecde4b09adaff9e130d8f3ed"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a453c8768ecde4b09adaff9e130d8f3ed">viennacl::linalg::detail::spai::QRBlockComposition</a> (MatrixT const &A_I_J, MatrixT const &A_I_J_u, MatrixT &A_I_u_J_u)</td></tr>
<tr class="memdesc:a453c8768ecde4b09adaff9e130d8f3ed"><td class="mdescLeft"> </td><td class="mdescRight">Composition of new block for QR factorization cf. Kallischko dissertation p.82, figure 4.7. <a href="#a453c8768ecde4b09adaff9e130d8f3ed">More...</a><br/></td></tr>
<tr class="separator:a453c8768ecde4b09adaff9e130d8f3ed"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8a63d610aebbcd68a76468e22e33ac83"><td class="memTemplParams" colspan="2">template<typename SparseMatrixT , typename SparseVectorT , typename DenseMatrixT , typename VectorT > </td></tr>
<tr class="memitem:a8a63d610aebbcd68a76468e22e33ac83"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83">viennacl::linalg::detail::spai::block_update</a> (SparseMatrixT const &A, std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > &g_res, std::vector< bool > &g_is_update, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, std::vector< VectorT > &g_b_v, std::vector< DenseMatrixT > &g_A_I_J, spai_tag const &tag)</td></tr>
<tr class="memdesc:a8a63d610aebbcd68a76468e22e33ac83"><td class="mdescLeft"> </td><td class="mdescRight">CPU-based dynamic update for SPAI preconditioner. <a href="#a8a63d610aebbcd68a76468e22e33ac83">More...</a><br/></td></tr>
<tr class="separator:a8a63d610aebbcd68a76468e22e33ac83"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a030bd1b3e7fb96ca912e86e190e7cb9a"><td class="memTemplParams" colspan="2">template<typename NumericT > </td></tr>
<tr class="memitem:a030bd1b3e7fb96ca912e86e190e7cb9a"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a030bd1b3e7fb96ca912e86e190e7cb9a">viennacl::linalg::detail::spai::block_q_multiplication</a> (std::vector< std::vector< unsigned int > > const &g_J_u, std::vector< std::vector< unsigned int > > const &g_I, block_matrix &g_A_I_J_vcl, block_vector &g_bv_vcl, block_matrix &g_A_I_J_u_vcl, std::vector< cl_uint > &g_is_update, <a class="el" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</td></tr>
<tr class="memdesc:a030bd1b3e7fb96ca912e86e190e7cb9a"><td class="mdescLeft"> </td><td class="mdescRight">Performs multiplication Q'*A(I, \tilde J) on GPU. <a href="#a030bd1b3e7fb96ca912e86e190e7cb9a">More...</a><br/></td></tr>
<tr class="separator:a030bd1b3e7fb96ca912e86e190e7cb9a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab97e4f8849c15f3dea55584f4a1fcc85"><td class="memTemplParams" colspan="2">template<typename SizeT > </td></tr>
<tr class="memitem:ab97e4f8849c15f3dea55584f4a1fcc85"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab97e4f8849c15f3dea55584f4a1fcc85">viennacl::linalg::detail::spai::assemble_qr_row_inds</a> (std::vector< std::vector< SizeT > > const &g_I, std::vector< std::vector< SizeT > > const &g_J, std::vector< std::vector< SizeT > > const &g_I_u, std::vector< std::vector< SizeT > > &g_I_q)</td></tr>
<tr class="memdesc:ab97e4f8849c15f3dea55584f4a1fcc85"><td class="mdescLeft"> </td><td class="mdescRight">Assembly of container of index row sets: I_q, row indices for new "QR block". <a href="#ab97e4f8849c15f3dea55584f4a1fcc85">More...</a><br/></td></tr>
<tr class="separator:ab97e4f8849c15f3dea55584f4a1fcc85"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2a6a2326a67eed3c453880e1a9887b55"><td class="memTemplParams" colspan="2">template<typename NumericT > </td></tr>
<tr class="memitem:a2a6a2326a67eed3c453880e1a9887b55"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a2a6a2326a67eed3c453880e1a9887b55">viennacl::linalg::detail::spai::assemble_qr_block</a> (std::vector< std::vector< unsigned int > > const &g_J, std::vector< std::vector< unsigned int > > const &g_I, std::vector< std::vector< unsigned int > > const &g_J_u, std::vector< std::vector< unsigned int > > const &g_I_u, std::vector< std::vector< unsigned int > > &g_I_q, block_matrix &g_A_I_J_u_vcl, <a class="el" href="classviennacl_1_1ocl_1_1handle.html">viennacl::ocl::handle</a>< cl_mem > &matrix_dimensions, block_matrix &g_A_I_u_J_u_vcl, std::vector< cl_uint > &g_is_update, bool is_empty_block, <a class="el" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</td></tr>
<tr class="memdesc:a2a6a2326a67eed3c453880e1a9887b55"><td class="mdescLeft"> </td><td class="mdescRight">Performs assembly for new QR block. <a href="#a2a6a2326a67eed3c453880e1a9887b55">More...</a><br/></td></tr>
<tr class="separator:a2a6a2326a67eed3c453880e1a9887b55"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ada295fb9ae10dcc0bc6728be3c006cd4"><td class="memTemplParams" colspan="2">template<typename NumericT > </td></tr>
<tr class="memitem:ada295fb9ae10dcc0bc6728be3c006cd4"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada295fb9ae10dcc0bc6728be3c006cd4">viennacl::linalg::detail::spai::assemble_r</a> (std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, block_matrix &g_A_I_J_vcl, block_matrix &g_A_I_J_u_vcl, block_matrix &g_A_I_u_J_u_vcl, block_vector &g_bv_vcl, block_vector &g_bv_vcl_u, std::vector< cl_uint > &g_is_update, <a class="el" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</td></tr>
<tr class="memdesc:ada295fb9ae10dcc0bc6728be3c006cd4"><td class="mdescLeft"> </td><td class="mdescRight">Performs assembly for new R matrix on GPU. <a href="#ada295fb9ae10dcc0bc6728be3c006cd4">More...</a><br/></td></tr>
<tr class="separator:ada295fb9ae10dcc0bc6728be3c006cd4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aac7edbe83326cd05affc0ac8e68c6a2d"><td class="memTemplParams" colspan="2">template<typename NumericT , unsigned int AlignmentV, typename SparseVectorT > </td></tr>
<tr class="memitem:aac7edbe83326cd05affc0ac8e68c6a2d"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aac7edbe83326cd05affc0ac8e68c6a2d">viennacl::linalg::detail::spai::block_update</a> (<a class="el" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix</a>< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, AlignmentV > const &A, std::vector< SparseVectorT > const &A_v_c, std::vector< cl_uint > &g_is_update, std::vector< SparseVectorT > &g_res, std::vector< std::vector< unsigned int > > &g_J, std::vector< std::vector< unsigned int > > &g_I, block_matrix &g_A_I_J_vcl, block_vector &g_bv_vcl, spai_tag const &tag)</td></tr>
<tr class="memdesc:aac7edbe83326cd05affc0ac8e68c6a2d"><td class="mdescLeft"> </td><td class="mdescRight">GPU-based block update. <a href="#aac7edbe83326cd05affc0ac8e68c6a2d">More...</a><br/></td></tr>
<tr class="separator:aac7edbe83326cd05affc0ac8e68c6a2d"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of a dynamic SPAI. Provides the routines for automatic pattern updates Experimental. </p>
<p>SPAI code contributed by Nikolay Lukash </p>
<p>Definition in file <a class="el" href="spai-dynamic_8hpp_source.html">spai-dynamic.hpp</a>.</p>
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