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<?xml version='1.0' encoding='UTF-8' standalone='no'?>
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<innerclass refid="structserif_1_1solver_1_1preconditioner_1_1keys_1_1_preconditioner" prot="public">serif::solver::preconditioner::keys::Preconditioner</innerclass>
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<codeline lineno="1"><highlight class="preprocessor">#pragma<sp/>once</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="2"><highlight class="normal"></highlight></codeline>
<codeline lineno="3"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;limits&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;vector&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="backend_2mfem_2operators_2linearized__block_8hpp" kindref="compound">serif/backend/mfem/operators/linearized_block.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="linearized__system__view_8hpp" kindref="compound">serif/operators/linearized_system_view.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="system__layout_8hpp" kindref="compound">serif/discretization/blocks/system_layout.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="discretization_2blocks_2keys_8hpp" kindref="compound">serif/discretization/blocks/keys.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="9"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="border_8hpp" kindref="compound">serif/backend/mfem/solver/preconditioner/border.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="computation_8hpp" kindref="compound">serif/utils/dependencies/computation.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight></codeline>
<codeline lineno="12" refid="namespaceserif_1_1solver_1_1preconditioner_1_1keys" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1keys" kindref="compound">serif::solver::preconditioner::keys</ref></highlight></codeline>
<codeline lineno="13"><highlight class="normal">{</highlight></codeline>
<codeline lineno="15"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1keys_1a51c4360b9a88a40c2171089db75a643a" kindref="member">Layout</ref><sp/>=<sp/><ref refid="structserif_1_1discretization_1_1blocks_1_1keys_1_1_layout" kindref="compound">discretization::blocks::keys::Layout</ref>;</highlight></codeline>
<codeline lineno="16" refid="structserif_1_1solver_1_1preconditioner_1_1keys_1_1_preconditioner" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1solver_1_1preconditioner_1_1keys_1_1_preconditioner" kindref="compound">Preconditioner</ref></highlight></codeline>
<codeline lineno="17"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="18"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="19"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>serif::solver::preconditioner::keys</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="20"><highlight class="normal"></highlight></codeline>
<codeline lineno="21"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations" kindref="compound">serif::solver::preconditioner::computations</ref></highlight></codeline>
<codeline lineno="22"><highlight class="normal">{</highlight></codeline>
<codeline lineno="23" refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1_1detail" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1_1detail" kindref="compound">detail</ref></highlight></codeline>
<codeline lineno="24"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Key&gt;</highlight></codeline>
<codeline lineno="26"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1afcae4dbd9e6d48ee20ff826aa3f63d6d" kindref="member">is_physical_block</ref><sp/>=<sp/></highlight><highlight class="keyword">false</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="27"><highlight class="normal"></highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Rows,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Values&gt;</highlight></codeline>
<codeline lineno="29"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1afcae4dbd9e6d48ee20ff826aa3f63d6d" kindref="member">is_physical_block&lt;operators::PhysicalBlock&lt;Rows, Values&gt;</ref>&gt;<sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="30"><highlight class="normal"></highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Keys&gt;</highlight></codeline>
<codeline lineno="32" refid="structserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1_1_physical_sources" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1_1_physical_sources" kindref="compound">PhysicalSources</ref>;</highlight></codeline>
<codeline lineno="33"><highlight class="normal"></highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal">...<sp/>Keys&gt;</highlight></codeline>
<codeline lineno="35" refid="structserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1_1_physical_sources_3_01utils1a1f8ff6c1c7a9455aff8e4b497b2009" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1_1_physical_sources" kindref="compound">PhysicalSources</ref>&lt;<ref refid="namespaceserif_1_1utils" kindref="compound">utils</ref>::dependencies::KeyList&lt;Keys...&gt;&gt;</highlight></codeline>
<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="37"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1solver_1_1preconditioner_1_1computations_1_1detail_1_1_physical_sources_3_01utils1a1f8ff6c1c7a9455aff8e4b497b2009_1a9def84cf9bf7ca3e60d5ac8a0e490051" kindref="member">Type</ref><sp/>=<sp/><ref refid="namespaceserif_1_1utils_1_1dependencies_1a4b225a37465f007a877f89860d3627c1" kindref="member">utils::dependencies::CombinedKeyList&lt;std::conditional_t&lt;is_physical_block&lt;Keys&gt;</ref>,<sp/><ref refid="structserif_1_1utils_1_1dependencies_1_1_key_list" kindref="compound">utils::dependencies::KeyList&lt;Keys&gt;</ref>,<sp/><ref refid="structserif_1_1utils_1_1dependencies_1_1_key_list" kindref="compound">utils::dependencies::KeyList&lt;&gt;</ref>&gt;...&gt;;</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>detail</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="40"><highlight class="normal"></highlight></codeline>
<codeline lineno="42"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;<ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023ea" kindref="member">discretization::blocks::RepresentedValueKind</ref><sp/>Kind,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Layout,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal">...<sp/>Coordinates&gt;</highlight></codeline>
<codeline lineno="43"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a0b5442f7837137f112bc8a5d80956b78" kindref="member">selected_size</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Layout&amp;<sp/>layout,<sp/><ref refid="structserif_1_1utils_1_1dependencies_1_1_key_list" kindref="compound">utils::dependencies::KeyList&lt;Coordinates...&gt;</ref>)</highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::array&lt;std::size_t,<sp/></highlight><highlight class="keyword">sizeof</highlight><highlight class="normal">...(Coordinates)&gt;<sp/>sizes{layout.template<sp/>size&lt;Kind,<sp/>Coordinates&gt;()...};</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1a946d6244b79cf4fad47d07fb97db32e1" kindref="member">discretization::blocks::checked_block_size</ref>(sizes);</highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="48"><highlight class="normal"></highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Key,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Layout&gt;</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;void,<sp/>Failure&gt;<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1af2c8198f4a2f0aaabe4dbcfa97110e1c" kindref="member">validate_physical_layout</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Layout&amp;<sp/>layout,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1operators_1_1backend_1_1mfem_1_1_linearized_block" kindref="compound">operators::backend::mfem::LinearizedBlock</ref>&amp;<sp/>block)</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Kind<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023ea" kindref="member">discretization::blocks::RepresentedValueKind</ref>;</highlight></codeline>
<codeline lineno="54"><highlight class="normal"></highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(<ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a0b5442f7837137f112bc8a5d80956b78" kindref="member">selected_size&lt;Kind::residual&gt;</ref>(layout,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Key::Rows{})<sp/>!=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(block.<ref refid="classserif_1_1operators_1_1backend_1_1mfem_1_1_linearized_block_1a0a2375a3e7be798ae85b265a1919e2d8" kindref="member">action</ref>()-&gt;Height())<sp/>||</highlight></codeline>
<codeline lineno="56"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a0b5442f7837137f112bc8a5d80956b78" kindref="member">selected_size&lt;Kind::value&gt;</ref>(layout,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Key::Values{})<sp/>!=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(block.<ref refid="classserif_1_1operators_1_1backend_1_1mfem_1_1_linearized_block_1a0a2375a3e7be798ae85b265a1919e2d8" kindref="member">action</ref>()-&gt;Width()))</highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(Failure{<ref refid="namespaceserif_1_1utils_1_1errors_1ab04484c13887f78337c2331fb2911346a07ade0bcb07c32f51b8b1c81cda05fbe" kindref="member">utils::errors::SERiFErrorCode::PRECONDITIONER_SIZE_MISMATCH</ref>,</highlight></codeline>
<codeline lineno="59"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;A<sp/>physical<sp/>block<sp/>does<sp/>not<sp/>match<sp/>the<sp/>sizes<sp/>of<sp/>its<sp/>named<sp/>equation<sp/>rows<sp/>and<sp/>unknown<sp/>coordinates.<sp/>Correct<sp/>the<sp/>shared<sp/>layout<sp/>or<sp/>selected<sp/>block.&quot;</highlight><highlight class="normal">});</highlight></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>{};</highlight></codeline>
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="63"><highlight class="normal"></highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;<ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023ea" kindref="member">discretization::blocks::RepresentedValueKind</ref><sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1checks_1ae448d9c52432cf59dd1795980f1829bc" kindref="member">Kind</ref>,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1model_1_1checks_1a25b09ef80aa03c71690f75564edb5cba" kindref="member">Layout</ref>,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal">...<sp/>Coordinates&gt;</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;std::vector&lt;int&gt;,<sp/>Failure&gt;<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a2baa22db93917a92523fc5c5d323db78" kindref="member">ordered_indices</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Layout&amp;<sp/>layout,<sp/>utils::dependencies::KeyList&lt;Coordinates...&gt;)</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::size_t<sp/>count<sp/>=<sp/>layout.template<sp/>total_size&lt;Kind&gt;();</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(count<sp/>&gt;<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(std::numeric_limits&lt;int&gt;::max()))</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(Failure{<ref refid="namespaceserif_1_1utils_1_1errors_1ab04484c13887f78337c2331fb2911346a07ade0bcb07c32f51b8b1c81cda05fbe" kindref="member">utils::errors::SERiFErrorCode::PRECONDITIONER_SIZE_MISMATCH</ref>,<sp/></highlight><highlight class="stringliteral">&quot;Packed<sp/>system<sp/>exceeds<sp/>the<sp/>MFEM<sp/>index<sp/>range.&quot;</highlight><highlight class="normal">});</highlight></codeline>
<codeline lineno="72"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;int&gt;<sp/>indices(count,<sp/>-1);</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>grouped_offset<sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>append<sp/>=<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1model_1_1normalization_1_1detail_1af648340a894464602b52db78f895be2f" kindref="member">Coordinate</ref>&gt;()</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::size_t<sp/>offset<sp/>=<sp/>layout.template<sp/>offset&lt;Kind,<sp/>Coordinate&gt;();</highlight></codeline>
<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::size_t<sp/>size<sp/>=<sp/>layout.template<sp/>size&lt;Kind,<sp/>Coordinate&gt;();</highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>index<sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>&lt;<sp/>size;<sp/>++<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)</highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>indices[offset<sp/>+<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>]<sp/>=<sp/>grouped_offset++;</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>(append.template<sp/>operator()&lt;Coordinates&gt;(),<sp/>...);</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>indices;</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="87"><highlight class="normal"></highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Recipe,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1model_1_1checks_1a25b09ef80aa03c71690f75564edb5cba" kindref="member">Layout</ref>,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal">...<sp/>PhysicalKeys&gt;</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a93a14d176124c789b6d75a9a3a4e4d5c" kindref="member">ordering</ref>(utils::dependencies::KeyList&lt;PhysicalKeys...&gt;)</highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::dependencies;</highlight></codeline>
<codeline lineno="93"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1checks_1ae448d9c52432cf59dd1795980f1829bc" kindref="member">Kind</ref><sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023ea" kindref="member">discretization::blocks::RepresentedValueKind</ref>;</highlight></codeline>
<codeline lineno="94"><highlight class="normal"></highlight></codeline>
<codeline lineno="95"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static_assert</highlight><highlight class="normal">(key_count_v&lt;CombinedKeyList&lt;typename<sp/>Recipe::Rows,<sp/>typename<sp/>Layout::Residuals&gt;&gt;<sp/>==<sp/>key_count_v&lt;typename<sp/>Recipe::Rows&gt;<sp/>&amp;&amp;</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>key_count_v&lt;typename<sp/>Recipe::Rows&gt;<sp/>==<sp/>key_count_v&lt;typename<sp/>Layout::Residuals&gt;,</highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;The<sp/>preconditioner<sp/>must<sp/>cover<sp/>every<sp/>residual<sp/>identity<sp/>exactly<sp/>once.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="98"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static_assert</highlight><highlight class="normal">(key_count_v&lt;CombinedKeyList&lt;typename<sp/>Recipe::Values,<sp/>typename<sp/>Layout::Values&gt;&gt;<sp/>==<sp/>key_count_v&lt;typename<sp/>Recipe::Values&gt;<sp/>&amp;&amp;</highlight></codeline>
<codeline lineno="99"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>key_count_v&lt;typename<sp/>Recipe::Values&gt;<sp/>==<sp/>key_count_v&lt;typename<sp/>Layout::Values&gt;,</highlight></codeline>
<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;The<sp/>preconditioner<sp/>must<sp/>cover<sp/>every<sp/>state<sp/>identity<sp/>exactly<sp/>once.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="101"><highlight class="normal"></highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1utils_1_1dependencies_1a70e11340fa044443fefa79ba7e0c11d5" kindref="member">make_computation</ref>&lt;keys::Preconditioner,<sp/><ref refid="namespaceserif_1_1utils_1_1dependencies_1a22eef682b02dad9de4774e4b68b003ba" kindref="member">InputList</ref>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Recipe::Result,<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1keys_1a51c4360b9a88a40c2171089db75a643a" kindref="member">keys::Layout</ref>,<sp/>PhysicalKeys...&gt;&gt;(</highlight></codeline>
<codeline lineno="103"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>backend::mfem::Inverse&amp;<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a4e68f4ddc06181dc9077cb41a6c795d5" kindref="member">inverse</ref>,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1model_1_1checks_1a25b09ef80aa03c71690f75564edb5cba" kindref="member">Layout</ref>&amp;<sp/>layout,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;...<sp/>blocks)<sp/>-&gt;<sp/>std::expected&lt;backend::mfem::Inverse,<sp/>Failure&gt;</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::expected&lt;void,<sp/>Failure&gt;<sp/>validation;</highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>validate<sp/>=<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Key&gt;(Key,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>block)</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(validation)</highlight></codeline>
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>validation<sp/>=<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1af2c8198f4a2f0aaabe4dbcfa97110e1c" kindref="member">validate_physical_layout&lt;Key&gt;</ref>(layout,<sp/>block);</highlight></codeline>
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>(validate(PhysicalKeys{},<sp/>blocks),<sp/>...);</highlight></codeline>
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!validation)</highlight></codeline>
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(validation.error());</highlight></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>rows<sp/>=<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a2baa22db93917a92523fc5c5d323db78" kindref="member">ordered_indices&lt;Kind::value&gt;</ref>(layout,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Recipe::Values{});</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>columns<sp/>=<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a2baa22db93917a92523fc5c5d323db78" kindref="member">ordered_indices&lt;Kind::residual&gt;</ref>(layout,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Recipe::Rows{});</highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!rows)</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(rows.error());</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!columns)</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(columns.error());</highlight></codeline>
<codeline lineno="127"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="128"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(<ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a4e68f4ddc06181dc9077cb41a6c795d5" kindref="member">inverse</ref>.action-&gt;Height()<sp/>!=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(rows-&gt;size())<sp/>||<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a4e68f4ddc06181dc9077cb41a6c795d5" kindref="member">inverse</ref>.action-&gt;Width()<sp/>!=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(columns-&gt;size()))</highlight></codeline>
<codeline lineno="129"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(Failure{<ref refid="namespaceserif_1_1utils_1_1errors_1ab04484c13887f78337c2331fb2911346a07ade0bcb07c32f51b8b1c81cda05fbe" kindref="member">utils::errors::SERiFErrorCode::PRECONDITIONER_SIZE_MISMATCH</ref>,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>composed<sp/>inverse<sp/>does<sp/>not<sp/>match<sp/>the<sp/>shared<sp/>system<sp/>layout.&quot;</highlight><highlight class="normal">});</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>ordered<sp/>=<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1backend_1_1mfem_1a1422a0bfc41f8a84a960682ed82dc045" kindref="member">backend::mfem::try_restrict_operator</ref>(<ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a4e68f4ddc06181dc9077cb41a6c795d5" kindref="member">inverse</ref>.action,<sp/>*rows,<sp/>*columns);</highlight></codeline>
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!ordered)</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(ordered.error());</highlight></codeline>
<codeline lineno="136"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>backend::mfem::Inverse{.action<sp/>=<sp/>*ordered,<sp/>.contract<sp/>=<sp/><ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1computations_1a4e68f4ddc06181dc9077cb41a6c795d5" kindref="member">inverse</ref>.contract};</highlight></codeline>
<codeline lineno="138"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="139"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="140"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>serif::solver::preconditioner::computations</highlight><highlight class="normal"></highlight></codeline>
</programlisting>
<location file="src/include/serif/backend/mfem/solver/preconditioner/computations/ordering.hpp"/>
</compounddef>
</doxygen>