MeanField_SERiF/docs/xml/element__preparation_8hpp.xml

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        <childnode refid="5" relation="include">
        </childnode>
      </node>
      <node id="17">
        <label>src/include/serif/backend/mfem/model/computations/surface_potential.hpp</label>
        <link refid="backend_2mfem_2model_2computations_2surface__potential_8hpp"/>
        <childnode refid="7" relation="include">
        </childnode>
      </node>
      <node id="8">
        <label>src/include/serif/backend/mfem/model/equilibrium.hpp</label>
        <link refid="backend_2mfem_2model_2equilibrium_8hpp"/>
        <childnode refid="9" relation="include">
        </childnode>
        <childnode refid="10" relation="include">
        </childnode>
      </node>
      <node id="7">
        <label>src/include/serif/backend/mfem/model/graph.hpp</label>
        <link refid="backend_2mfem_2model_2graph_8hpp"/>
        <childnode refid="8" relation="include">
        </childnode>
        <childnode refid="15" relation="include">
        </childnode>
      </node>
      <node id="1">
        <label>src/include/serif/backend/mfem/operators/element_preparation.hpp</label>
        <link refid="element__preparation_8hpp"/>
        <childnode refid="2" relation="include">
        </childnode>
      </node>
      <node id="3">
        <label>src/include/serif/backend/mfem/operators/volume_computations.hpp</label>
        <link refid="volume__computations_8hpp"/>
        <childnode refid="4" relation="include">
        </childnode>
        <childnode refid="5" relation="include">
        </childnode>
        <childnode refid="18" relation="include">
        </childnode>
      </node>
      <node id="2">
        <label>src/include/serif/backend/mfem/operators/volume_stages.hpp</label>
        <link refid="volume__stages_8hpp"/>
        <childnode refid="3" relation="include">
        </childnode>
      </node>
      <node id="15">
        <label>src/include/serif/backend/mfem/solver/admissibility/geometry.hpp</label>
        <link refid="geometry_8hpp"/>
        <childnode refid="10" relation="include">
        </childnode>
      </node>
      <node id="11">
        <label>src/include/serif/backend/mfem/solver/equilibrium.hpp</label>
        <link refid="backend_2mfem_2solver_2equilibrium_8hpp"/>
        <childnode refid="12" relation="include">
        </childnode>
      </node>
      <node id="10">
        <label>src/include/serif/backend/mfem/solver/nonlinear/stellar_problem.hpp</label>
        <link refid="stellar__problem_8hpp"/>
        <childnode refid="11" relation="include">
        </childnode>
      </node>
      <node id="13">
        <label>src/include/serif/solver/continuation/equilibrium.hpp</label>
        <link refid="solver_2continuation_2equilibrium_8hpp"/>
        <childnode refid="14" relation="include">
        </childnode>
      </node>
      <node id="12">
        <label>src/include/serif/solver/equilibrium.hpp</label>
        <link refid="solver_2equilibrium_8hpp"/>
        <childnode refid="13" relation="include">
        </childnode>
        <childnode refid="14" relation="include">
        </childnode>
      </node>
      <node id="14">
        <label>src/include/serif/solver/solver.hpp</label>
        <link refid="solver_2solver_8hpp"/>
      </node>
    </invincdepgraph>
    <innernamespace refid="namespaceserif">serif</innernamespace>
    <innernamespace refid="namespaceserif_1_1operators">serif::operators</innernamespace>
    <innernamespace refid="namespaceserif_1_1operators_1_1backend">serif::operators::backend</innernamespace>
    <innernamespace refid="namespaceserif_1_1operators_1_1backend_1_1mfem">serif::operators::backend::mfem</innernamespace>
    <briefdescription>
    </briefdescription>
    <detaileddescription>
    </detaileddescription>
    <programlisting>
<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;array&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cmath&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;expected&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;memory&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;utility&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight></codeline>
<codeline lineno="9"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="backend_2mfem_2mapping_2domain__mapper_8hpp" kindref="compound">serif/backend/mfem/mapping/domain_mapper.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="element__data_8hpp" kindref="compound">serif/backend/mfem/operators/element_data.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="operand__evaluation_8hpp" kindref="compound">serif/backend/mfem/operators/operand_evaluation.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="quadrature_8hpp" kindref="compound">serif/backend/mfem/operators/quadrature.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="rejection_8hpp" kindref="compound">serif/backend/mfem/operators/rejection.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="14"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="term__coefficients_8hpp" kindref="compound">serif/backend/mfem/discretization/term_coefficients.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="backend_2mfem_2operators_2workspace_8hpp" kindref="compound">serif/backend/mfem/operators/workspace.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="16"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="parallel_8hpp" kindref="compound">serif/backend/mfem/shared/parallel.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="17"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="compensated__sum_8hpp" kindref="compound">serif/utils/misc/compensated_sum.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="18"><highlight class="normal"></highlight></codeline>
<codeline lineno="19"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem" kindref="compound">serif::operators::backend::mfem</ref><sp/>{</highlight></codeline>
<codeline lineno="21"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;</highlight></codeline>
<codeline lineno="22"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;ElementBasis&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;,<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1aae99912ed787738eb526084e3e5a505a" kindref="member">sample_element_basis</ref>(</highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>ContributionT&amp;<sp/>equation,</highlight></codeline>
<codeline lineno="24"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>element,</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap&amp;<sp/>row,</highlight></codeline>
<codeline lineno="26"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap&amp;<sp/>displacement_binding,</highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::array&lt;</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap*,<sp/>EquationPlan&lt;EquationT&gt;::column_count&gt;&amp;<sp/>columns,</highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::DomainMapper&amp;<sp/>mapper,</highlight></codeline>
<codeline lineno="29"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::quadrature::Policy&amp;<sp/>policy,</highlight></codeline>
<codeline lineno="30"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_tensor_basis_cache" kindref="compound">TensorBasisCache</ref>&amp;<sp/>basis_cache,</highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1a24da3fc8af225640b2d32c378ef40cde" kindref="member">ContractionMode</ref><sp/>contraction_mode</highlight></codeline>
<codeline lineno="32"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="33"><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_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Test<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;equations::TestOperandOf&lt;ContributionT&gt;</ref>&gt;;</highlight></codeline>
<codeline lineno="35"><highlight class="normal"></highlight></codeline>
<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>transformation<sp/>=<sp/>*displacement_binding.space().GetElementTransformation(element);</highlight></codeline>
<codeline lineno="37"><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">&amp;<sp/>displacement_element<sp/>=<sp/>*displacement_binding.space().GetFE(element);</highlight></codeline>
<codeline lineno="38"><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/>mapping_kind<sp/>=<sp/>mapper.is_compactified_element(transformation)<sp/>?<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a41f6d96b8d77bc2944e8b328062e5efaab2c6de510d584484d74c9aa9f8fa9f04" kindref="member">discretization::quadrature::MappingKind::kelvin</ref><sp/>:<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a41f6d96b8d77bc2944e8b328062e5efaa958153f1b8b96ec4c4eb2147429105d9" kindref="member">discretization::quadrature::MappingKind::general</ref>;</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_basis" kindref="compound">ElementBasis&lt;Plan::operand_count&gt;</ref><sp/>basis{</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.element<sp/>=<sp/>element</highlight></codeline>
<codeline lineno="41"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="42"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>reconstruction_order<sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="43"><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/>include_reconstruction<sp/>=<sp/>[&amp;](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>binding)<sp/>{</highlight></codeline>
<codeline lineno="44"><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/>(binding.reconstruction_element(element)<sp/>!=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal">)<sp/>{</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>reconstruction_order<sp/>=<sp/>std::max(reconstruction_order,<sp/>binding.reconstruction()-&gt;integration_order_increment());</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>include_reconstruction(row);</highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;ContributionT&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t)<sp/>{</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>include_reconstruction(*columns[Plan::template<sp/>column_index&lt;OperandT&gt;()]);</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.rule<sp/>=<sp/>&amp;<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2cd890040bb3dcb69a51fd4189c855ff" kindref="member">equation_rule&lt;EquationT&gt;</ref>(equation,<sp/>policy,<sp/>transformation,<sp/>displacement_element,<sp/>mapping_kind,<sp/>reconstruction_order);</highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.reference_geometry.reserve(basis.rule-&gt;GetNPoints());</highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/>basis.rule-&gt;GetNPoints();<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="55"><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/>geometry<sp/>=<sp/><ref refid="namespaceserif_1_1mapping_1a8935271a2117c2232be8306651d5ce9f" kindref="member">mapping::sample_fixed_mesh_geometry</ref>(transformation,<sp/>basis.rule-&gt;IntPoint(point));</highlight></codeline>
<codeline lineno="56"><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/>(!geometry)<sp/>{</highlight></codeline>
<codeline lineno="57"><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(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba2fa399f11879d3347f324fe703fb9f97" kindref="member">PreparationRejectionReason::MAPPING</ref>,<sp/>geometry.error(),<sp/>element,<sp/>point,<sp/></highlight><highlight class="stringliteral">&quot;Invalid<sp/>reference<sp/>mesh<sp/>geometry.&quot;</highlight><highlight class="normal"></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></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.reference_geometry.push_back(std::move(*geometry));</highlight></codeline>
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_workspace" kindref="compound">BasisWorkspace</ref><sp/>workspace;</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Test::sample_basis(row,<sp/>element,<sp/>*basis.rule,<sp/>basis.reference_test_basis,<sp/>basis_cache,<sp/>contraction_mode,<sp/>transformation,<sp/>workspace);</highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.displacement_basis.sample(</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>displacement_element,<sp/>*basis.rule,<sp/>ReferenceOperation::value_and_gradient,<sp/>3,<sp/>basis_cache,<sp/>contraction_mode</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;ContributionT&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static_assert</highlight><highlight class="normal">(<ref refid="conceptserif_1_1operators_1_1backend_1_1mfem_1_1_evaluable_operand" kindref="compound">EvaluableOperand&lt;OperandT&gt;</ref>,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>MFEM<sp/>operator<sp/>has<sp/>no<sp/>evaluator<sp/>for<sp/>this<sp/>operand.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="70"><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">&amp;<sp/>binding<sp/>=<sp/>*columns[Plan::template<sp/>column_index&lt;OperandT&gt;()];</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;::sample_basis</ref>(</highlight></codeline>
<codeline lineno="72"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>binding,<sp/>element,<sp/>*basis.rule,<sp/>basis.reference_operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>basis_cache,<sp/>contraction_mode,<sp/>transformation,<sp/>workspace</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="75"><highlight class="normal"></highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>basis;</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="78"><highlight class="normal"></highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/>EvaluableOperand<sp/>OperandT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>BindingT&gt;</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">requires</highlight><highlight class="normal"><sp/>std::same_as&lt;typename<sp/>BindingT::Term,<sp/>typename<sp/>OperandT::term_type&gt;</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/>sample_element_operand(</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_basis" kindref="compound">ElementBasis</ref>&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;&amp;<sp/>basis,</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_coefficient_view" kindref="compound">CoefficientView&lt;BindingT&gt;</ref>&amp;<sp/>input,</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap::Elements&amp;<sp/>elements,</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="88"><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_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>=<sp/>equations::OperandValues&lt;typename<sp/>Plan::Operands&gt;::template<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index&lt;OperandT&gt;</ref>();</highlight></codeline>
<codeline lineno="90"><highlight class="normal"></highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>elements.element_values(basis.element,<sp/>input.values,<sp/>workspace.element_values);</highlight></codeline>
<codeline lineno="93"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;::evaluate</ref>(basis.reference_operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>workspace.element_values,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,<sp/>workspace.basis);</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="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="97"><highlight class="normal"></highlight></codeline>
<codeline lineno="99"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;</highlight></codeline>
<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;ElementGeometry&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;,<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a9dd074ac465b21038ed683e3f714c69e" kindref="member">map_element_geometry</ref>(</highlight></codeline>
<codeline lineno="101"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_basis" kindref="compound">ElementBasis</ref>&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;&amp;<sp/>basis,</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap&amp;<sp/>displacement_binding,</highlight></codeline>
<codeline lineno="103"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap::Elements&amp;<sp/>displacement_elements,</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>displacement,</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_mapping_coefficients" kindref="compound">MappingCoefficients</ref>&amp;<sp/>compactification,</highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::DomainMapper&amp;<sp/>mapper,</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="109"><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_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Test<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;equations::TestOperandOf&lt;ContributionT&gt;</ref>&gt;;</highlight></codeline>
<codeline lineno="111"><highlight class="normal"></highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_geometry" kindref="compound">ElementGeometry&lt;Plan::operand_count&gt;</ref><sp/>geometry;</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(Test::geometry_dependent)<sp/>{</highlight></codeline>
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.test_basis.reset_from(basis.reference_test_basis,<sp/>Test::components);</highlight></codeline>
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.test_basis<sp/>=<sp/>basis.reference_test_basis;</highlight></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;ContributionT&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="119"><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">Evaluator<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;</ref>;</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/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(Evaluator::geometry_dependent)<sp/>{</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>].reset_from(basis.reference_operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>Evaluator::components);</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>]<sp/>=<sp/>basis.reference_operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>];</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="126"><highlight class="normal"></highlight></codeline>
<codeline lineno="127"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>displacement_elements.element_values(basis.element,<sp/>displacement,<sp/>geometry.displacement);</highlight></codeline>
<codeline lineno="128"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Array&lt;int&gt;<sp/>compactification_dofs;</highlight></codeline>
<codeline lineno="129"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>A<sp/>local<sp/>DofTransformation<sp/>keeps<sp/>concurrent<sp/>element<sp/>loops<sp/>off<sp/>the<sp/>space&apos;s<sp/>shared<sp/>one.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::DofTransformation<sp/>compactification_transform;</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>compactification.binding.GetElementVDofs(basis.element,<sp/>compactification_dofs,<sp/>compactification_transform);</highlight></codeline>
<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>compactification.values.GetSubVector(compactification_dofs,<sp/>geometry.compactification);</highlight></codeline>
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(compactification_transform.GetDofTransformation()<sp/>!=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal">)<sp/>{</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>compactification_transform.InvTransformPrimal(geometry.compactification);</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="136"><highlight class="normal"></highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.displacement_basis.evaluate(geometry.displacement,<sp/>workspace.displacement_samples,<sp/>workspace.basis);</highlight></codeline>
<codeline lineno="138"><highlight class="normal"></highlight></codeline>
<codeline lineno="139"><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">&amp;<sp/>displacement_element<sp/>=<sp/>*displacement_binding.space().GetFE(basis.element);</highlight></codeline>
<codeline lineno="140"><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/>displacement_data<sp/>=<sp/><ref refid="namespaceserif_1_1mapping_1a89488756ce19ff5351dfbeb4235849c3" kindref="member">mapping::element_displacement_data_from_element_vdofs</ref>(displacement_element,<sp/>geometry.displacement);</highlight></codeline>
<codeline lineno="141"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::ElementCompactificationData<sp/>compactification_data(</highlight></codeline>
<codeline lineno="142"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*compactification.binding.GetFE(basis.element),<sp/>geometry.compactification</highlight></codeline>
<codeline lineno="143"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="144"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::ElementMappingData<sp/>mapping_data{displacement_data,<sp/>compactification_data};</highlight></codeline>
<codeline lineno="145"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::IsoparametricTransformation<sp/>transformation;</highlight></codeline>
<codeline lineno="146"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a8e0e78d02ab6c49ae588644e579bed79" kindref="member">::serif::utils::parallel::element_transformation</ref>(*displacement_binding.space().GetMesh(),<sp/>basis.element,<sp/>transformation);</highlight></codeline>
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point_count<sp/>=<sp/>basis.rule-&gt;GetNPoints();</highlight></codeline>
<codeline lineno="148"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.mapping.set_size(point_count,<sp/>3);</highlight></codeline>
<codeline lineno="149"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/>point_count;<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="150"><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/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>axis<sp/>=<sp/>0;<sp/>axis<sp/>&lt;<sp/>3;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="151"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.displacement_value[axis]<sp/>=<sp/>workspace.displacement_samples[12<sp/>*<sp/>point<sp/>+<sp/>4<sp/>*<sp/>axis];</highlight></codeline>
<codeline lineno="152"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>derivative<sp/>=<sp/>0;<sp/>derivative<sp/>&lt;<sp/>3;<sp/>++derivative)<sp/>{</highlight></codeline>
<codeline lineno="153"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.displacement_gradient(axis,<sp/>derivative)<sp/>=<sp/>workspace.displacement_samples[12<sp/>*<sp/>point<sp/>+<sp/>4<sp/>*<sp/>axis<sp/>+<sp/>derivative<sp/>+<sp/>1];</highlight></codeline>
<codeline lineno="154"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="155"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="156"><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/>mapping::DMReferenceDisplacementSample<sp/>sample{workspace.displacement_value,<sp/>workspace.displacement_gradient};</highlight></codeline>
<codeline lineno="157"><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/>status<sp/>=<sp/>mapper.evaluate_volume(</highlight></codeline>
<codeline lineno="158"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>mapping_data,<sp/>transformation,<sp/>basis.rule-&gt;IntPoint(point),</highlight></codeline>
<codeline lineno="159"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.mapping_workspace,<sp/>workspace.mapping_context,<sp/>&amp;sample,<sp/>&amp;basis.reference_geometry[point]</highlight></codeline>
<codeline lineno="160"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="161"><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/>(status<sp/>!=<sp/><ref refid="namespaceserif_1_1mapping_1a4d8ed5ebf76c79667efd6777f3ee3b97ac9f1a6384b1c466d4612f513bd8e13ea" kindref="member">mapping::MappingStatus::VALID</ref>)<sp/>{</highlight></codeline>
<codeline lineno="162"><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(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="163"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba2fa399f11879d3347f324fe703fb9f97" kindref="member">PreparationRejectionReason::MAPPING</ref>,<sp/>status,<sp/>basis.element,<sp/>point,<sp/></highlight><highlight class="stringliteral">&quot;Invalid<sp/>equation<sp/>geometry.&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="164"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="165"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="166"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.mapping.store(point,<sp/>workspace.mapping_context);</highlight></codeline>
<codeline lineno="167"><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">&amp;<sp/>context<sp/>=<sp/>workspace.mapping_context.mapping;</highlight></codeline>
<codeline lineno="168"><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/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(Test::geometry_dependent)<sp/>{</highlight></codeline>
<codeline lineno="169"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Test::map_basis_point(point,<sp/>context,<sp/>basis.reference_test_basis,<sp/>geometry.test_basis,<sp/>workspace.basis);</highlight></codeline>
<codeline lineno="170"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="171"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;ContributionT&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="172"><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/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;::geometry_dependent</ref>)<sp/>{</highlight></codeline>
<codeline lineno="173"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;::map_basis_point</ref>(point,<sp/>context,<sp/>basis.reference_operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>geometry.operand_basis[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>workspace.basis);</highlight></codeline>
<codeline lineno="174"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="175"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="176"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="177"><highlight class="normal"></highlight></codeline>
<codeline lineno="178"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>geometry;</highlight></codeline>
<codeline lineno="179"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="180"><highlight class="normal"></highlight></codeline>
<codeline lineno="182"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;EvaluableOperand<sp/>OperandT,<sp/>std::</highlight><highlight class="keywordtype">size_t</highlight><highlight class="normal"><sp/>Count&gt;</highlight></codeline>
<codeline lineno="183"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a9a1337dfa4833a9bc4e82b7ccb854e1c" kindref="member">map_element_operand</ref>(</highlight></codeline>
<codeline lineno="184"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>reference,</highlight></codeline>
<codeline lineno="185"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_geometry" kindref="compound">ElementGeometry&lt;Count&gt;</ref>&amp;<sp/>geometry,</highlight></codeline>
<codeline lineno="186"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="187"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="188"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Evaluator<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;</ref>;</highlight></codeline>
<codeline lineno="189"><highlight class="normal"></highlight></codeline>
<codeline lineno="190"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point_count<sp/>=<sp/>geometry.mapping.get_point_count();</highlight></codeline>
<codeline lineno="191"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>(point_count<sp/>*<sp/>Evaluator::components);</highlight></codeline>
<codeline lineno="192"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/>point_count;<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="193"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>geometry.mapping.load(point,<sp/>workspace.mapping_context);</highlight></codeline>
<codeline lineno="194"><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/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>=<sp/>Evaluator::physical_value(</highlight></codeline>
<codeline lineno="195"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Evaluator::reference_value(reference,<sp/>point),<sp/>workspace.mapping_context.mapping</highlight></codeline>
<codeline lineno="196"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="197"><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/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>component<sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref><sp/>&lt;<sp/>Evaluator::components;<sp/>++<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>)<sp/>{</highlight></codeline>
<codeline lineno="198"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[point<sp/>*<sp/>Evaluator::components<sp/>+<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>]<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(value,<sp/>component);</highlight></codeline>
<codeline lineno="199"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="200"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="201"><highlight class="normal"></highlight></codeline>
<codeline lineno="202"><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_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="203"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="204"><highlight class="normal"></highlight></codeline>
<codeline lineno="206"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;</highlight></codeline>
<codeline lineno="207"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>equations::EquationPoint&lt;typename<sp/>ContributionT::Operands&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2f7469f8875093c32fdb0730a9e75604" kindref="member">element_equation_point</ref>(</highlight></codeline>
<codeline lineno="208"><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::shared_ptr&lt;const<sp/>::mfem::Vector&gt;,<sp/>EquationPlan&lt;EquationT&gt;::operand_count&gt;&amp;<sp/>physical_values,</highlight></codeline>
<codeline lineno="209"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::MappingPointContext&amp;<sp/>context,</highlight></codeline>
<codeline lineno="210"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point</highlight></codeline>
<codeline lineno="211"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="212"><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_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="213"><highlight class="normal"></highlight></codeline>
<codeline lineno="214"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>equations::EquationPoint&lt;typename<sp/>ContributionT::Operands&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="215"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;ContributionT&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="216"><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">Evaluator<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;</ref>;</highlight></codeline>
<codeline lineno="217"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.fields.template<sp/>get&lt;OperandT&gt;();</highlight></codeline>
<codeline lineno="218"><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/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>component<sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref><sp/>&lt;<sp/>Evaluator::components;<sp/>++<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>)<sp/>{</highlight></codeline>
<codeline lineno="219"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(value,<sp/>component)<sp/>=<sp/>(*physical_values[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>])[point<sp/>*<sp/>Evaluator::components<sp/>+<sp/>component];</highlight></codeline>
<codeline lineno="220"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="221"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="222"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>axis<sp/>=<sp/>0;<sp/>axis<sp/>&lt;<sp/>3;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="223"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.position[axis]<sp/>=<sp/>context.physical_position[axis];</highlight></codeline>
<codeline lineno="224"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="225"><highlight class="normal"></highlight></codeline>
<codeline lineno="226"><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_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="227"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="228"><highlight class="normal"></highlight></codeline>
<codeline lineno="230"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;</highlight></codeline>
<codeline lineno="231"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a275adf143a0f3539c599195444ad2f28" kindref="member">store_element_linearization</ref>(</highlight></codeline>
<codeline lineno="232"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>equations::PointLinearization&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT::Operands,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator</ref>&lt;<ref refid="namespaceserif_1_1equations_1ab3b0f61ca51136b0ddf4d868ebdfd8df" kindref="member">equations::TestOperandOf&lt;ContributionT&gt;</ref>&gt;::Value&gt;&amp;<sp/>physics,</highlight></codeline>
<codeline lineno="233"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point,</highlight></codeline>
<codeline lineno="234"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>weight,</highlight></codeline>
<codeline lineno="235"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_data" kindref="compound">ElementData</ref>&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;&amp;<sp/>data</highlight></codeline>
<codeline lineno="236"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="237"><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_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="238"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Test<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;equations::TestOperandOf&lt;ContributionT&gt;</ref>&gt;;</highlight></codeline>
<codeline lineno="239"><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_1utils_1_1serialize_1ace9e0af29889a767ef1c95a09a4b7265" kindref="member">Result</ref><sp/>=<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Test::Value;</highlight></codeline>
<codeline lineno="240"><highlight class="normal"></highlight></codeline>
<codeline lineno="241"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>finite<sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="242"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>output<sp/>=<sp/>0;<sp/>output<sp/>&lt;<sp/>Test::components;<sp/>++output)<sp/>{</highlight></codeline>
<codeline lineno="243"><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="keywordtype">int</highlight><highlight class="normal"><sp/>row_index<sp/>=<sp/>point<sp/>*<sp/>Test::components<sp/>+<sp/>output;</highlight></codeline>
<codeline lineno="244"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.weighted_residual[row_index]<sp/>=<sp/>weight<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(physics.residual,<sp/>output);</highlight></codeline>
<codeline lineno="245"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>finite<sp/>=<sp/>finite<sp/>&amp;&amp;<sp/>std::isfinite(data.weighted_residual[row_index]);</highlight></codeline>
<codeline lineno="246"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;ContributionT&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t)<sp/>{</highlight></codeline>
<codeline lineno="247"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Input<sp/>=<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;OperandT&gt;::Value</ref>;</highlight></codeline>
<codeline lineno="248"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>input<sp/>=<sp/>0;<sp/>input<sp/>&lt;<sp/>OperandEvaluator&lt;OperandT&gt;::components;<sp/>++input)<sp/>{</highlight></codeline>
<codeline lineno="249"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>derivative<sp/>=<sp/>data.weighted_field_derivatives(row_index,<sp/>Plan::template<sp/>component_offset&lt;OperandT&gt;()<sp/>+<sp/>input);</highlight></codeline>
<codeline lineno="250"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>derivative<sp/>=<sp/>weight<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1a2adce8ae20f5f99c4302d9446cad1ebb" kindref="member">discretization::forms::derivative_component&lt;Result, Input&gt;</ref>(</highlight></codeline>
<codeline lineno="251"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>physics.field_derivatives.template<sp/>get&lt;OperandT&gt;(),<sp/>output,<sp/>input</highlight></codeline>
<codeline lineno="252"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="253"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>finite<sp/>=<sp/>finite<sp/>&amp;&amp;<sp/>std::isfinite(derivative);</highlight></codeline>
<codeline lineno="254"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="255"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="256"><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/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>axis<sp/>=<sp/>0;<sp/>axis<sp/>&lt;<sp/>3;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="257"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>derivative<sp/>=<sp/>data.weighted_position_derivative(row_index,<sp/>axis);</highlight></codeline>
<codeline lineno="258"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>derivative<sp/>=<sp/>weight<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1a2adce8ae20f5f99c4302d9446cad1ebb" kindref="member">discretization::forms::derivative_component&lt;Result, discretization::forms::VectorValue&gt;</ref>(</highlight></codeline>
<codeline lineno="259"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>physics.position_derivative,<sp/>output,<sp/>axis</highlight></codeline>
<codeline lineno="260"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="261"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>finite<sp/>=<sp/>finite<sp/>&amp;&amp;<sp/>std::isfinite(derivative);</highlight></codeline>
<codeline lineno="262"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="263"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="264"><highlight class="normal"></highlight></codeline>
<codeline lineno="265"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>finite;</highlight></codeline>
<codeline lineno="266"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="267"><highlight class="normal"></highlight></codeline>
<codeline lineno="269"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;</highlight></codeline>
<codeline lineno="270"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;ElementData&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;,<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a4376f45934e12dad416909d04ea1fc37" kindref="member">evaluate_element_equation</ref>(</highlight></codeline>
<codeline lineno="271"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>ContributionT&amp;<sp/>equation,</highlight></codeline>
<codeline lineno="272"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>coefficient,</highlight></codeline>
<codeline lineno="273"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::shared_ptr&lt;</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_basis" kindref="compound">ElementBasis</ref>&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;&gt;<sp/>basis,</highlight></codeline>
<codeline lineno="274"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::shared_ptr&lt;</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_geometry" kindref="compound">ElementGeometry</ref>&lt;EquationPlan&lt;EquationT&gt;::operand_count&gt;&gt;<sp/>geometry,</highlight></codeline>
<codeline lineno="275"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;std::shared_ptr&lt;const<sp/>::mfem::Vector&gt;,<sp/>EquationPlan&lt;EquationT&gt;::operand_count&gt;<sp/>reference_values,</highlight></codeline>
<codeline lineno="276"><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::shared_ptr&lt;const<sp/>::mfem::Vector&gt;,<sp/>EquationPlan&lt;EquationT&gt;::operand_count&gt;&amp;<sp/>physical_values,</highlight></codeline>
<codeline lineno="277"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="278"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="279"><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_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="280"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Test<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;equations::TestOperandOf&lt;ContributionT&gt;</ref>&gt;;</highlight></codeline>
<codeline lineno="281"><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_1utils_1_1serialize_1ace9e0af29889a767ef1c95a09a4b7265" kindref="member">Result</ref><sp/>=<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Test::Value;</highlight></codeline>
<codeline lineno="282"><highlight class="normal"></highlight></codeline>
<codeline lineno="283"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_data" kindref="compound">ElementData&lt;Plan::operand_count&gt;</ref><sp/>data{</highlight></codeline>
<codeline lineno="284"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.element<sp/>=<sp/>basis-&gt;element,</highlight></codeline>
<codeline lineno="285"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.basis<sp/>=<sp/>std::move(basis),</highlight></codeline>
<codeline lineno="286"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.geometry<sp/>=<sp/>std::move(geometry),</highlight></codeline>
<codeline lineno="287"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.reference_operand_values<sp/>=<sp/>std::move(reference_values)</highlight></codeline>
<codeline lineno="288"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="289"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point_count<sp/>=<sp/>data.<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_data_1a93bbf84580d26dcf1072488f247818b5" kindref="member">basis</ref>-&gt;rule-&gt;GetNPoints();</highlight></codeline>
<codeline lineno="290"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.weighted_residual.SetSize(point_count<sp/>*<sp/>Test::components);</highlight></codeline>
<codeline lineno="291"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.weighted_field_derivatives.SetSize(point_count<sp/>*<sp/>Test::components,<sp/>Plan::component_count);</highlight></codeline>
<codeline lineno="292"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.weighted_field_derivatives<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="293"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.weighted_position_derivative.SetSize(point_count<sp/>*<sp/>Test::components,<sp/>3);</highlight></codeline>
<codeline lineno="294"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>utils::CompensatedSum<sp/>element_validation;</highlight></codeline>
<codeline lineno="295"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/>point_count;<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="296"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.geometry-&gt;mapping.load(point,<sp/>workspace.mapping_context);</highlight></codeline>
<codeline lineno="297"><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/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref><sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2f7469f8875093c32fdb0730a9e75604" kindref="member">element_equation_point&lt;EquationT, ContributionT&gt;</ref>(</highlight></codeline>
<codeline lineno="298"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>physical_values,<sp/>workspace.mapping_context.mapping,<sp/>point</highlight></codeline>
<codeline lineno="299"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="300"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>equations::PointLinearization&lt;typename<sp/>ContributionT::Operands,<sp/>Result&gt;<sp/>physics;</highlight></codeline>
<codeline lineno="301"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">try</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="302"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>physics<sp/>=<sp/>equation.evaluate(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>);</highlight></codeline>
<codeline lineno="303"><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/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">requires</highlight><highlight class="normal"><sp/>{<sp/>equation.validate_integral(0.0);<sp/>})<sp/>{</highlight></codeline>
<codeline lineno="304"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Physical<sp/>admissibility<sp/>is<sp/>independent<sp/>of<sp/>equation<sp/>arithmetic<sp/>coefficients.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="305"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>element_validation.add(</highlight></codeline>
<codeline lineno="306"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.mapping_context.quadrature.physical_integration_weight<sp/>*<sp/>equation.validation_integrand(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,<sp/>physics)</highlight></codeline>
<codeline lineno="307"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="308"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="309"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">catch</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::domain_error&amp;<sp/>error)<sp/>{</highlight></codeline>
<codeline lineno="310"><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(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="311"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba4d77939baa7fa6dc4045b2a7ced3ac48" kindref="member">PreparationRejectionReason::EQUATION</ref>,<sp/><ref refid="namespaceserif_1_1mapping_1a4d8ed5ebf76c79667efd6777f3ee3b97ac9f1a6384b1c466d4612f513bd8e13ea" kindref="member">mapping::MappingStatus::VALID</ref>,<sp/>data.element,<sp/>point,<sp/>error.what()</highlight></codeline>
<codeline lineno="312"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="313"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="314"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Geometry<sp/>variations<sp/>still<sp/>need<sp/>the<sp/>unscaled<sp/>physical<sp/>integration<sp/>weight.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="315"><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="keywordtype">double</highlight><highlight class="normal"><sp/>weight<sp/>=<sp/>coefficient<sp/>*<sp/>workspace.mapping_context.quadrature.physical_integration_weight;</highlight></codeline>
<codeline lineno="316"><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_1operators_1_1backend_1_1mfem_1a275adf143a0f3539c599195444ad2f28" kindref="member">store_element_linearization&lt;EquationT, ContributionT&gt;</ref>(physics,<sp/>point,<sp/>weight,<sp/>data))<sp/>{</highlight></codeline>
<codeline lineno="317"><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(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="318"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba84418f7bf291a48bf2af58f248595ebf" kindref="member">PreparationRejectionReason::NON_FINITE</ref>,<sp/><ref refid="namespaceserif_1_1mapping_1a4d8ed5ebf76c79667efd6777f3ee3b97ac9f1a6384b1c466d4612f513bd8e13ea" kindref="member">mapping::MappingStatus::VALID</ref>,</highlight></codeline>
<codeline lineno="319"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.element,<sp/>point,<sp/></highlight><highlight class="stringliteral">&quot;Non-finite<sp/>equation<sp/>integrand<sp/>or<sp/>derivative.&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="320"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="321"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="322"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="323"><highlight class="normal"></highlight></codeline>
<codeline lineno="324"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.validation_integral<sp/>=<sp/>element_validation.value();</highlight></codeline>
<codeline lineno="325"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>data;</highlight></codeline>
<codeline lineno="326"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="327"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>serif::operators::backend::mfem</highlight><highlight class="normal"></highlight></codeline>
    </programlisting>
    <location file="src/include/serif/backend/mfem/operators/element_preparation.hpp"/>
  </compounddef>
</doxygen>