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        <childnode refid="9" relation="include">
        </childnode>
      </node>
      <node id="22">
        <label>src/include/serif/backend/mfem/model/volume_actions.hpp</label>
        <link refid="volume__actions_8hpp"/>
        <childnode refid="9" relation="include">
        </childnode>
        <childnode refid="23" relation="include">
        </childnode>
      </node>
      <node id="5">
        <label>src/include/serif/backend/mfem/operators/element_evaluation.hpp</label>
        <link refid="element__evaluation_8hpp"/>
        <childnode refid="6" relation="include">
        </childnode>
        <childnode refid="7" relation="include">
        </childnode>
        <childnode refid="29" relation="include">
        </childnode>
      </node>
      <node id="31">
        <label>src/include/serif/backend/mfem/operators/element_preparation.hpp</label>
        <link refid="element__preparation_8hpp"/>
        <childnode refid="29" relation="include">
        </childnode>
      </node>
      <node id="6">
        <label>src/include/serif/backend/mfem/operators/element_transpose.hpp</label>
        <link refid="element__transpose_8hpp"/>
        <childnode refid="7" relation="include">
        </childnode>
      </node>
      <node id="32">
        <label>src/include/serif/backend/mfem/operators/geometry_derivatives.hpp</label>
        <link refid="geometry__derivatives_8hpp"/>
        <childnode refid="29" relation="include">
        </childnode>
      </node>
      <node id="25">
        <label>src/include/serif/backend/mfem/operators/jacobian_operator.hpp</label>
        <link refid="jacobian__operator_8hpp"/>
        <childnode refid="26" relation="include">
        </childnode>
      </node>
      <node id="1">
        <label>src/include/serif/backend/mfem/operators/operand_evaluation.hpp</label>
        <link refid="operand__evaluation_8hpp"/>
        <childnode refid="2" relation="include">
        </childnode>
        <childnode refid="3" relation="include">
        </childnode>
        <childnode refid="5" relation="include">
        </childnode>
        <childnode refid="31" relation="include">
        </childnode>
        <childnode refid="32" relation="include">
        </childnode>
      </node>
      <node id="7">
        <label>src/include/serif/backend/mfem/operators/volume_application.hpp</label>
        <link refid="volume__application_8hpp"/>
        <childnode refid="8" relation="include">
        </childnode>
        <childnode refid="22" relation="include">
        </childnode>
        <childnode refid="25" relation="include">
        </childnode>
        <childnode refid="27" relation="include">
        </childnode>
      </node>
      <node id="30">
        <label>src/include/serif/backend/mfem/operators/volume_computations.hpp</label>
        <link refid="volume__computations_8hpp"/>
        <childnode refid="26" relation="include">
        </childnode>
        <childnode refid="9" relation="include">
        </childnode>
        <childnode refid="23" relation="include">
        </childnode>
      </node>
      <node id="27">
        <label>src/include/serif/backend/mfem/operators/volume_field_block.hpp</label>
        <link refid="volume__field__block_8hpp"/>
        <childnode refid="9" relation="include">
        </childnode>
        <childnode refid="28" relation="include">
        </childnode>
      </node>
      <node id="29">
        <label>src/include/serif/backend/mfem/operators/volume_stages.hpp</label>
        <link refid="volume__stages_8hpp"/>
        <childnode refid="30" relation="include">
        </childnode>
      </node>
      <node id="19">
        <label>src/include/serif/backend/mfem/solver/admissibility/geometry.hpp</label>
        <link refid="geometry_8hpp"/>
        <childnode refid="14" relation="include">
        </childnode>
      </node>
      <node id="15">
        <label>src/include/serif/backend/mfem/solver/equilibrium.hpp</label>
        <link refid="backend_2mfem_2solver_2equilibrium_8hpp"/>
        <childnode refid="16" relation="include">
        </childnode>
      </node>
      <node id="14">
        <label>src/include/serif/backend/mfem/solver/nonlinear/stellar_problem.hpp</label>
        <link refid="stellar__problem_8hpp"/>
        <childnode refid="15" relation="include">
        </childnode>
      </node>
      <node id="17">
        <label>src/include/serif/solver/continuation/equilibrium.hpp</label>
        <link refid="solver_2continuation_2equilibrium_8hpp"/>
        <childnode refid="18" relation="include">
        </childnode>
      </node>
      <node id="16">
        <label>src/include/serif/solver/equilibrium.hpp</label>
        <link refid="solver_2equilibrium_8hpp"/>
        <childnode refid="17" relation="include">
        </childnode>
        <childnode refid="18" relation="include">
        </childnode>
      </node>
      <node id="18">
        <label>src/include/serif/solver/solver.hpp</label>
        <link refid="solver_2solver_8hpp"/>
      </node>
      <node id="28">
        <label>src/lib/serif/backend/mfem/model/system_selection.cpp</label>
        <link refid="system__selection_8cpp"/>
      </node>
      <node id="4">
        <label>src/lib/serif/backend/mfem/serialize/top.cpp</label>
        <link refid="backend_2mfem_2serialize_2top_8cpp"/>
      </node>
    </invincdepgraph>
    <innerclass refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4" prot="public">serif::operators::backend::mfem::OperandEvaluator&lt; OperandT &gt;</innerclass>
    <innerclass refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_basis_workspace" prot="public">serif::operators::backend::mfem::BasisWorkspace</innerclass>
    <innerclass refid="classserif_1_1operators_1_1backend_1_1mfem_1_1_tensor_basis_cache" prot="public">serif::operators::backend::mfem::TensorBasisCache</innerclass>
    <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;concepts&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;type_traits&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;stdexcept&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;mfem/fem/fe/fe_base.hpp&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;mfem/fem/eltrans.hpp&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="operators_2concepts_8hpp" kindref="compound">serif/operators/concepts.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="basis__evaluation_8hpp" kindref="compound">serif/backend/mfem/discretization/basis_evaluation.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="dof__map_8hpp" kindref="compound">serif/backend/mfem/discretization/dof_map.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="14"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="transformations_8hpp" kindref="compound">serif/backend/mfem/mapping/transformations.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="errors_8hpp" kindref="compound">serif/utils/error/errors.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="16"><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="17"><highlight class="normal"></highlight></codeline>
<codeline lineno="18"><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="19"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">discretization::backend::mfem::BasisEvaluation;</highlight></codeline>
<codeline lineno="20"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">discretization::backend::mfem::BasisWorkspace;</highlight></codeline>
<codeline lineno="21"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1a24da3fc8af225640b2d32c378ef40cde" kindref="member">discretization::backend::mfem::ContractionMode</ref>;</highlight></codeline>
<codeline lineno="22"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7" kindref="member">discretization::backend::mfem::ReferenceOperation</ref>;</highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">discretization::backend::mfem::TensorBasisCache;</highlight></codeline>
<codeline lineno="24"><highlight class="normal"></highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Intentionally<sp/>undefined:<sp/>an<sp/>operation<sp/>tag<sp/>alone<sp/>never<sp/>enables<sp/>evaluation.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="26"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>New<sp/>operations<sp/>must<sp/>supply<sp/>their<sp/>own<sp/>implementation<sp/>and<sp/>linearization<sp/>rules.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="27"><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/>OperandT&gt;</highlight></codeline>
<codeline lineno="28" refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator</ref>;</highlight></codeline>
<codeline lineno="29"><highlight class="normal"></highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;MappedOperand<sp/>OperandT&gt;</highlight></codeline>
<codeline lineno="32" refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator</ref>&lt;OperandT&gt;<sp/>final<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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ad2644eb07fa8f9d9e08e39060e1c2cc8" kindref="member">Term</ref><sp/>=<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT::term_type;</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"><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1ab58e222c3ef402eeceadd03fd04180bf" kindref="member">discretization::forms::OperandValue&lt;OperandT&gt;</ref>;</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">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ad48eb7ec7c862545f5754bb8397b3879" kindref="member">components</ref><sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1a8ff94af3602610b4765e1e1e87aebdb9" kindref="member">discretization::forms::component_count&lt;Value&gt;</ref>;</highlight></codeline>
<codeline lineno="37"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a33da6b35241e0b2b568057b189de2b52" kindref="member">global_scalar</ref><sp/>=<sp/><ref refid="conceptserif_1_1discretization_1_1blocks_1_1_global_scalar_term" kindref="compound">discretization::blocks::GlobalScalarTerm&lt;Term&gt;</ref>;</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ad06275f70a4cf9c93678528590c31282" kindref="member">divergence</ref><sp/>=<sp/>std::same_as&lt;typename<sp/>OperandT::operation_type,<sp/>discretization::forms::Operation::Divergence&gt;;</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1adf859dcc6869f715b75b550862b924c6" kindref="member">vector_copies</ref><sp/>=<sp/>[]<sp/>{</highlight></codeline>
<codeline lineno="40"><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/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a33da6b35241e0b2b568057b189de2b52" kindref="member">global_scalar</ref>)<sp/>{</highlight></codeline>
<codeline lineno="41"><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/></highlight><highlight class="keyword">false</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="42"><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="43"><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/><ref refid="structserif_1_1discretization_1_1blocks_1_1_spatial_term_traits_1aa3a811a918491a87da6ab6b4de6978a3" kindref="member">discretization::blocks::SpatialTermTraits&lt;Term&gt;::rank</ref><sp/>==<sp/>1;</highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}();</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ac0153eb3fedb8ce03f47d653e25ae09a" kindref="member">h1_divergence</ref><sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1adf859dcc6869f715b75b550862b924c6" kindref="member">vector_copies</ref><sp/>&amp;&amp;<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ad06275f70a4cf9c93678528590c31282" kindref="member">divergence</ref>;</highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a19e66801e742713444606acd913bce53" kindref="member">scalar_gradient</ref><sp/>=<sp/><ref refid="conceptserif_1_1operators_1_1_scalar_gradient_operand" kindref="compound">ScalarGradientOperand&lt;OperandT&gt;</ref>;</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a2041df624fb6d09340075fd2d8d69f72" kindref="member">vector_gradient</ref><sp/>=<sp/><ref refid="conceptserif_1_1operators_1_1_vector_gradient_operand" kindref="compound">VectorGradientOperand&lt;OperandT&gt;</ref>;</highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a82694ec5f6f17c744a3fcb74c45e3671" kindref="member">needs_vector_gradient</ref><sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ac0153eb3fedb8ce03f47d653e25ae09a" kindref="member">h1_divergence</ref><sp/>||<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a2041df624fb6d09340075fd2d8d69f72" kindref="member">vector_gradient</ref>;</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</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="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1aee582a4a577491c988994e8ee33642f6" kindref="member">geometry_dependent</ref><sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a82694ec5f6f17c744a3fcb74c45e3671" kindref="member">needs_vector_gradient</ref><sp/>||<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a19e66801e742713444606acd913bce53" kindref="member">scalar_gradient</ref>;</highlight></codeline>
<codeline lineno="51"><highlight class="normal"></highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>H1<sp/>divergence<sp/>and<sp/>gradient<sp/>retain<sp/>G[c,k]<sp/>=<sp/>partial_X_k(u_c)<sp/>in<sp/>component-major<sp/>order.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Only<sp/>divergence<sp/>contracts<sp/>the<sp/>mapped<sp/>gradient<sp/>to<sp/>a<sp/>scalar.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref><sp/>=<sp/>std::conditional_t&lt;needs_vector_gradient,<sp/>std::array&lt;double,<sp/>9&gt;,<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref>&gt;;</highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a51d2bc77c29c4c443e72985619dea060" kindref="member">reference_components</ref><sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a82694ec5f6f17c744a3fcb74c45e3671" kindref="member">needs_vector_gradient</ref><sp/>?<sp/>9<sp/>:<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ad48eb7ec7c862545f5754bb8397b3879" kindref="member">components</ref>;</highlight></codeline>
<codeline lineno="56"><highlight class="normal"></highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a32f04cfc7cd2e1f5c62aa0b37129c2b3" kindref="member">sample_basis</ref>(</highlight></codeline>
<codeline lineno="59"><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/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_map" kindref="compound">discretization::backend::mfem::DofMap</ref>&amp;<sp/>binding,</highlight></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>element,</highlight></codeline>
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::IntegrationRule&amp;<sp/>rule,</highlight></codeline>
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>basis,</highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><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/>cache,</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1a24da3fc8af225640b2d32c378ef40cde" kindref="member">ContractionMode</ref><sp/>mode,</highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::ElementTransformation&amp;<sp/>transformation,</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><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>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="68"><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/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a33da6b35241e0b2b568057b189de2b52" kindref="member">global_scalar</ref>)<sp/>{</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1adbca7b7395309f4915aa9f36c82aed61" kindref="member">set_constant</ref>(rule.GetNPoints());</highlight></codeline>
<codeline lineno="70"><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="71"><highlight class="normal"><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_3_01_operand_t_01_4_1a32f04cfc7cd2e1f5c62aa0b37129c2b3" kindref="member">sample_basis</ref>(*binding.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_map_1ad7309ffab5c37db444ecd53450f3cfdc" kindref="member">space</ref>().GetFE(element),<sp/>rule,<sp/>basis,<sp/>cache,<sp/>mode,<sp/>transformation,<sp/>workspace,<sp/>binding.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_map_1ab9bbd3372044a045d75ce1c9b2bb3097" kindref="member">reconstruction_element</ref>(element));</highlight></codeline>
<codeline lineno="72"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="74"><highlight class="normal"></highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a32f04cfc7cd2e1f5c62aa0b37129c2b3" kindref="member">sample_basis</ref>(</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::FiniteElement&amp;<sp/>element,</highlight></codeline>
<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::IntegrationRule&amp;<sp/>rule,</highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>basis,</highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/><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/>cache,</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1a24da3fc8af225640b2d32c378ef40cde" kindref="member">ContractionMode</ref><sp/>mode,</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::ElementTransformation&amp;<sp/>transformation,</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><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>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="84"><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/><ref refid="structserif_1_1discretization_1_1backend_1_1mfem_1_1_element_reconstruction" kindref="compound">discretization::backend::mfem::ElementReconstruction</ref>*<sp/>reconstruction<sp/>=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/></highlight><highlight class="keyword">requires</highlight><highlight class="normal"><sp/>(!<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a33da6b35241e0b2b568057b189de2b52" kindref="member">global_scalar</ref>)<sp/>{</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1utils_1_1errors" kindref="compound">utils::errors</ref>;</highlight></codeline>
<codeline lineno="87"><highlight class="normal"></highlight></codeline>
<codeline lineno="88"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument&gt;(</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>element.GetRangeType()<sp/>==<sp/>::mfem::FiniteElement::SCALAR<sp/>&amp;&amp;<sp/>element.GetMapType()<sp/>==<sp/>::mfem::FiniteElement::VALUE,</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;Operand<sp/>sampling<sp/>requires<sp/>scalar<sp/>VALUE<sp/>bases<sp/>(one<sp/>or<sp/>three<sp/>copies).&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="92"><highlight class="normal"></highlight></codeline>
<codeline lineno="93"><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/>operation<sp/>=<sp/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a82694ec5f6f17c744a3fcb74c45e3671" kindref="member">needs_vector_gradient</ref><sp/>||<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a19e66801e742713444606acd913bce53" kindref="member">scalar_gradient</ref>)<sp/>?<sp/>ReferenceOperation::gradient<sp/>:<sp/>ReferenceOperation::value;</highlight></codeline>
<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref><sp/>canonical;</highlight></codeline>
<codeline lineno="95"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>canonical.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1a25086f0046e053d2df0f6d32e8e456f5" kindref="member">sample</ref>(element,<sp/>rule,<sp/>operation,<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1adf859dcc6869f715b75b550862b924c6" kindref="member">vector_copies</ref><sp/>?<sp/>3<sp/>:<sp/>1,<sp/>cache,<sp/>mode,<sp/>reconstruction);</highlight></codeline>
<codeline lineno="96"><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/>(!<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1aee582a4a577491c988994e8ee33642f6" kindref="member">geometry_dependent</ref>)<sp/>{</highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis<sp/>=<sp/>std::move(canonical);</highlight></codeline>
<codeline lineno="98"><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="99"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1adc93c0cd241b9602e9a65a5d427cc6fe" kindref="member">reset_from</ref>(canonical,<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a51d2bc77c29c4c443e72985619dea060" kindref="member">reference_components</ref>);</highlight></codeline>
<codeline lineno="100"><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/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/>rule.GetNPoints();<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="101"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>transformation.SetIntPoint(&amp;rule.IntPoint(point));</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1ad739b800579c2b21b04a7edeea871019" kindref="member">map_point</ref>(point,<sp/>canonical,<sp/>[&amp;](const<sp/>::mfem::Vector&amp;<sp/>input,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>output)<sp/>{</highlight></codeline>
<codeline lineno="103"><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/></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_3_01_operand_t_01_4_1a82694ec5f6f17c744a3fcb74c45e3671" kindref="member">needs_vector_gradient</ref>)<sp/>{</highlight></codeline>
<codeline lineno="104"><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/><sp/><sp/><sp/><sp/>const<sp/>::mfem::DenseMatrix&amp;<sp/>inverse<sp/>=<sp/>transformation.InverseJacobian();</highlight></codeline>
<codeline lineno="105"><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/><sp/><sp/><sp/><sp/>output<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="106"><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/><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/>component<sp/>&lt;<sp/>3;<sp/>++component)<sp/>{</highlight></codeline>
<codeline lineno="107"><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/><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/>physical<sp/>=<sp/>0;<sp/>physical<sp/>&lt;<sp/>3;<sp/>++physical)<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/><sp/><sp/><sp/><sp/><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/>reference<sp/>=<sp/>0;<sp/>reference<sp/>&lt;<sp/>3;<sp/>++reference)<sp/>{</highlight></codeline>
<codeline lineno="109"><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/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output[3<sp/>*<sp/>component<sp/>+<sp/>physical]<sp/>+=<sp/>input[3<sp/>*<sp/>component<sp/>+<sp/>reference]<sp/>*<sp/>inverse(reference,<sp/>physical);</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/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="111"><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/><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/><sp/><sp/><sp/><sp/><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/><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="114"><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/><sp/><sp/><sp/><sp/>transformation.InverseJacobian().MultTranspose(input,<sp/>output);</highlight></codeline>
<codeline lineno="115"><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/>}</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>},<sp/>workspace);</highlight></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><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></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="120"><highlight class="normal"></highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a494b2ffa9c68ef4168f7bcfe40613a58" kindref="member">map_basis_point</ref>(</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point,</highlight></codeline>
<codeline lineno="124"><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/><ref refid="structserif_1_1mapping_1_1_mapping_point_context" kindref="compound">mapping::MappingPointContext</ref>&amp;<sp/>context,</highlight></codeline>
<codeline lineno="125"><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/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>reference,</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>result,</highlight></codeline>
<codeline lineno="127"><highlight class="normal"><sp/><sp/><sp/><sp/><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>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="128"><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/><ref refid="structserif_1_1mapping_1_1_mapping_point_variation" kindref="compound">mapping::MappingPointVariation</ref>*<sp/>variation<sp/>=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="129"><highlight class="normal"><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/>result.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1ad739b800579c2b21b04a7edeea871019" kindref="member">map_point</ref>(point,<sp/>reference,<sp/>[&amp;](const<sp/>::mfem::Vector&amp;<sp/>input,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>output)<sp/>{</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><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_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref><sp/>value{};</highlight></codeline>
<codeline lineno="132"><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/>axis<sp/>=<sp/>0;<sp/>axis<sp/>&lt;<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a51d2bc77c29c4c443e72985619dea060" kindref="member">reference_components</ref>;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="133"><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_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(value,<sp/>axis)<sp/>=<sp/>input[axis];</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><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="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/>mapped<sp/>=<sp/>variation<sp/>?<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ae7f8bfcaf836f949422321e53b720901" kindref="member">geometry_variation</ref>(value,<sp/>context,<sp/>*variation)<sp/>:<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1aeaf64b684f87e58cd70d8ecd2c9d7457" kindref="member">physical_value</ref>(value,<sp/>context);</highlight></codeline>
<codeline lineno="136"><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/>axis<sp/>=<sp/>0;<sp/>axis<sp/>&lt;<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ad48eb7ec7c862545f5754bb8397b3879" kindref="member">components</ref>;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output[axis]<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(mapped,<sp/>axis);</highlight></codeline>
<codeline lineno="138"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="139"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>},<sp/>workspace);</highlight></codeline>
<codeline lineno="140"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="141"><highlight class="normal"></highlight></codeline>
<codeline lineno="142"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">/*</highlight></codeline>
<codeline lineno="143"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>For<sp/>a<sp/>scalar<sp/>VALUE<sp/>operand,<sp/>the<sp/>following<sp/>contraction<sp/>evaluates<sp/>a<sp/>scalar</highlight></codeline>
<codeline lineno="144"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>finite-element<sp/>field<sp/>at<sp/>quadrature<sp/>points.<sp/>Vector<sp/>H1<sp/>and<sp/>H(div)<sp/>use<sp/>the</highlight></codeline>
<codeline lineno="145"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>same<sp/>matrix-vector<sp/>product<sp/>with<sp/>its<sp/>component<sp/>copies<sp/>or<sp/>gradient<sp/>bases.</highlight></codeline>
<codeline lineno="146"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="147"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>On<sp/>one<sp/>element,<sp/>the<sp/>field<sp/>is<sp/>represented<sp/>by</highlight></codeline>
<codeline lineno="148"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="149"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/><sp/><sp/><sp/><sp/>ρ_h(ξ)<sp/>=<sp/>∑_{j=1}^{n}<sp/>c_j<sp/>N_j(ξ),</highlight></codeline>
<codeline lineno="150"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="151"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>where<sp/>n<sp/>is<sp/>the<sp/>number<sp/>of<sp/>local<sp/>scalar<sp/>DOFs,<sp/>c_j<sp/>is<sp/>the<sp/>coefficient</highlight></codeline>
<codeline lineno="152"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>associated<sp/>with<sp/>basis<sp/>function<sp/>N_j,<sp/>and<sp/>ξ<sp/>is<sp/>a<sp/>coordinate<sp/>in<sp/>the</highlight></codeline>
<codeline lineno="153"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>canonical<sp/>reference<sp/>element.</highlight></codeline>
<codeline lineno="154"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="155"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>There<sp/>are<sp/>two<sp/>coordinate<sp/>maps<sp/>to<sp/>distinguish:</highlight></codeline>
<codeline lineno="156"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="157"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/><sp/><sp/><sp/><sp/>ξ<sp/>-&gt;<sp/>X:<sp/>MFEM&apos;s<sp/>canonical<sp/>element<sp/>to<sp/>the<sp/>fixed<sp/>computational<sp/>mesh.</highlight></codeline>
<codeline lineno="158"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/><sp/><sp/><sp/><sp/>X<sp/>-&gt;<sp/>x:<sp/>SERiF&apos;s<sp/>additional<sp/>mapping<sp/>to<sp/>physical<sp/>space.</highlight></codeline>
<codeline lineno="159"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="160"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>Here<sp/>ρ_h(ξ)<sp/>denotes<sp/>the<sp/>scalar<sp/>field<sp/>pulled<sp/>back<sp/>to<sp/>the<sp/>canonical</highlight></codeline>
<codeline lineno="161"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>element.<sp/>Its<sp/>basis<sp/>values<sp/>use<sp/>the<sp/>ordinary<sp/>scalar<sp/>VALUE<sp/>mapping.</highlight></codeline>
<codeline lineno="162"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="163"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>sample_basis<sp/>evaluates<sp/>each<sp/>N_j<sp/>at<sp/>every<sp/>quadrature<sp/>point<sp/>ξ_q,</highlight></codeline>
<codeline lineno="164"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>producing<sp/>the<sp/>basis<sp/>evaluation<sp/>matrix</highlight></codeline>
<codeline lineno="165"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="166"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/><sp/><sp/><sp/><sp/>E_qj<sp/>=<sp/>N_j(ξ_q).</highlight></codeline>
<codeline lineno="167"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="168"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>The<sp/>physical<sp/>E<sp/>has<sp/>one<sp/>row<sp/>per<sp/>point<sp/>for<sp/>scalar<sp/>values<sp/>and<sp/>divergences,</highlight></codeline>
<codeline lineno="169"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>and<sp/>three<sp/>rows<sp/>per<sp/>point<sp/>for<sp/>vector<sp/>values.<sp/>Before<sp/>the<sp/>additional<sp/>map,</highlight></codeline>
<codeline lineno="170"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>H1<sp/>divergence<sp/>retains<sp/>nine<sp/>gradient<sp/>entries<sp/>per<sp/>point.<sp/>Vector<sp/>H1<sp/>has<sp/>three<sp/>independent<sp/>component<sp/>copies<sp/>of<sp/>each<sp/>scalar<sp/>basis.</highlight></codeline>
<codeline lineno="171"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="172"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>element_values<sp/>extracts<sp/>this<sp/>element&apos;s<sp/>coefficients<sp/>from<sp/>the<sp/>supported</highlight></codeline>
<codeline lineno="173"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>field<sp/>vector,<sp/>including<sp/>the<sp/>required<sp/>DOF<sp/>sign<sp/>and<sp/>orientation<sp/>handling.</highlight></codeline>
<codeline lineno="174"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>We<sp/>then<sp/>size<sp/>the<sp/>output<sp/>vector<sp/>to<sp/>the<sp/>number<sp/>of<sp/>quadrature<sp/>points.</highlight></codeline>
<codeline lineno="175"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="176"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>Finally,<sp/>evaluate<sp/>performs<sp/>the<sp/>contraction<sp/>represented<sp/>by<sp/>the<sp/>matrix-vector<sp/>product</highlight></codeline>
<codeline lineno="177"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="178"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/><sp/><sp/><sp/><sp/>operand_values<sp/>=<sp/>E<sp/>c,</highlight></codeline>
<codeline lineno="179"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="180"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>using<sp/>either<sp/>the<sp/>dense<sp/>matrix<sp/>or<sp/>equivalent<sp/>tensor<sp/>contractions,</highlight></codeline>
<codeline lineno="181"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="182"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>so<sp/>that</highlight></codeline>
<codeline lineno="183"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="184"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/><sp/><sp/><sp/><sp/>operand_values[q]<sp/>=<sp/>∑_j<sp/>N_j(ξ_q)<sp/>c_j<sp/>=<sp/>ρ_h(ξ_q).</highlight></codeline>
<codeline lineno="185"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*</highlight></codeline>
<codeline lineno="186"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>The<sp/>expansion<sp/>above<sp/>writes<sp/>c_j<sp/>N_j,<sp/>while<sp/>this<sp/>matrix<sp/>product<sp/>writes</highlight></codeline>
<codeline lineno="187"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>N_j<sp/>c_j.<sp/>These<sp/>are<sp/>products<sp/>of<sp/>individual<sp/>scalars,<sp/>whose<sp/>order<sp/>can<sp/>be</highlight></codeline>
<codeline lineno="188"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*<sp/>exchanged.<sp/>Despite<sp/>appearances<sp/>(to<sp/>me<sp/>at<sp/>least)<sp/>we<sp/>are<sp/>not<sp/>exchanging<sp/>a<sp/>matrix<sp/>and<sp/>a<sp/>vector.</highlight></codeline>
<codeline lineno="189"><highlight class="comment"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*/</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="191"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a4343b32b884e81a6422c4af20cc8973a" kindref="member">evaluate</ref>(</highlight></codeline>
<codeline lineno="192"><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/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>basis,</highlight></codeline>
<codeline lineno="193"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>coefficients,</highlight></codeline>
<codeline lineno="194"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,</highlight></codeline>
<codeline lineno="195"><highlight class="normal"><sp/><sp/><sp/><sp/><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>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="196"><highlight class="normal"><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/>basis.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1a2e508b37c9b6219daf7a32087b4796ea" kindref="member">evaluate</ref>(coefficients,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,<sp/>workspace);</highlight></codeline>
<codeline lineno="198"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="199"><highlight class="normal"></highlight></codeline>
<codeline lineno="201"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a51d2fac22e761a23fc9bc5f0d60e4d41" kindref="member">integrate</ref>(</highlight></codeline>
<codeline lineno="202"><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/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>basis,</highlight></codeline>
<codeline lineno="203"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,</highlight></codeline>
<codeline lineno="204"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>result,</highlight></codeline>
<codeline lineno="205"><highlight class="normal"><sp/><sp/><sp/><sp/><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>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="206"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="207"><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/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a33da6b35241e0b2b568057b189de2b52" kindref="member">global_scalar</ref>)<sp/>{</highlight></codeline>
<codeline lineno="208"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1utils_1_1_compensated_sum" kindref="compound">utils::CompensatedSum</ref><sp/>sum;</highlight></codeline>
<codeline lineno="209"><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/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.Size();<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="210"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>sum.<ref refid="classserif_1_1utils_1_1_compensated_sum_1a5f9c2f2ba0132149489425256ec1f4e1" kindref="member">add</ref>(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[point]);</highlight></codeline>
<codeline lineno="211"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="212"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result.SetSize(1);</highlight></codeline>
<codeline lineno="213"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result[0]<sp/>=<sp/>sum.<ref refid="classserif_1_1utils_1_1_compensated_sum_1a139de3cecb63dc3ddf777bbb961a4963" kindref="member">value</ref>();</highlight></codeline>
<codeline lineno="214"><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="215"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>basis.<ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation_1a3790e2ba8fcaf5bb348219ec0758648d" kindref="member">integrate</ref>(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,<sp/>result,<sp/>workspace);</highlight></codeline>
<codeline lineno="216"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="217"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="218"><highlight class="normal"></highlight></codeline>
<codeline lineno="220"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1aa1653449ffd67c24c6344aff2a63fc52" kindref="member">reference_value</ref>(</highlight></codeline>
<codeline lineno="221"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,</highlight></codeline>
<codeline lineno="222"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point</highlight></codeline>
<codeline lineno="223"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="224"><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_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref><sp/>result{};</highlight></codeline>
<codeline lineno="225"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a51d2bc77c29c4c443e72985619dea060" kindref="member">reference_components</ref>;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="226"><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>(result,<sp/>axis)<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[point<sp/>*<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a51d2bc77c29c4c443e72985619dea060" kindref="member">reference_components</ref><sp/>+<sp/>axis];</highlight></codeline>
<codeline lineno="227"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="228"><highlight class="normal"></highlight></codeline>
<codeline lineno="229"><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/>result;</highlight></codeline>
<codeline lineno="230"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="231"><highlight class="normal"></highlight></codeline>
<codeline lineno="233"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1aeaf64b684f87e58cd70d8ecd2c9d7457" kindref="member">physical_value</ref>(</highlight></codeline>
<codeline lineno="234"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref>&amp;<sp/>reference,</highlight></codeline>
<codeline lineno="235"><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/><ref refid="structserif_1_1mapping_1_1_mapping_point_context" kindref="compound">mapping::MappingPointContext</ref>&amp;<sp/>context</highlight></codeline>
<codeline lineno="236"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="237"><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/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ac0153eb3fedb8ce03f47d653e25ae09a" kindref="member">h1_divergence</ref>)<sp/>{</highlight></codeline>
<codeline lineno="238"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1adabdf4efcd0757f644a8cc119ec9c62d" kindref="member">gradient_trace</ref>(reference,<sp/>context.<ref refid="structserif_1_1mapping_1_1_mapping_point_context_1a663226c62eadd0fb35e09007e1c3f639" kindref="member">inverse_mapping_jacobian</ref>);</highlight></codeline>
<codeline lineno="239"><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><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_3_01_operand_t_01_4_1a2041df624fb6d09340075fd2d8d69f72" kindref="member">vector_gradient</ref>)<sp/>{</highlight></codeline>
<codeline lineno="240"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ab89d5ec56722c7dd636e3aea8cceb251" kindref="member">transform_vector_gradient</ref>(reference,<sp/>context.<ref refid="structserif_1_1mapping_1_1_mapping_point_context_1a663226c62eadd0fb35e09007e1c3f639" kindref="member">inverse_mapping_jacobian</ref>);</highlight></codeline>
<codeline lineno="241"><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><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_3_01_operand_t_01_4_1a19e66801e742713444606acd913bce53" kindref="member">scalar_gradient</ref>)<sp/>{</highlight></codeline>
<codeline lineno="242"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a2a33b57688e94021dbfcd7ee260d4e07" kindref="member">transform_gradient</ref>(reference,<sp/>context.<ref refid="structserif_1_1mapping_1_1_mapping_point_context_1a663226c62eadd0fb35e09007e1c3f639" kindref="member">inverse_mapping_jacobian</ref>);</highlight></codeline>
<codeline lineno="243"><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="244"><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/>reference;</highlight></codeline>
<codeline lineno="245"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="246"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="247"><highlight class="normal"></highlight></codeline>
<codeline lineno="249"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ae7f8bfcaf836f949422321e53b720901" kindref="member">geometry_variation</ref>(</highlight></codeline>
<codeline lineno="250"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref>&amp;<sp/>reference,</highlight></codeline>
<codeline lineno="251"><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/><ref refid="structserif_1_1mapping_1_1_mapping_point_context" kindref="compound">mapping::MappingPointContext</ref>&amp;<sp/>context,</highlight></codeline>
<codeline lineno="252"><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/><ref refid="structserif_1_1mapping_1_1_mapping_point_variation" kindref="compound">mapping::MappingPointVariation</ref>&amp;<sp/>variation</highlight></codeline>
<codeline lineno="253"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="254"><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/>(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ac0153eb3fedb8ce03f47d653e25ae09a" kindref="member">h1_divergence</ref>)<sp/>{</highlight></codeline>
<codeline lineno="255"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1adabdf4efcd0757f644a8cc119ec9c62d" kindref="member">gradient_trace</ref>(reference,<sp/>variation.<ref refid="structserif_1_1mapping_1_1_mapping_point_variation_1ad83c24847a9f323eba256d3c75506591" kindref="member">inverse_mapping_jacobian_variation</ref>);</highlight></codeline>
<codeline lineno="256"><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><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_3_01_operand_t_01_4_1a2041df624fb6d09340075fd2d8d69f72" kindref="member">vector_gradient</ref>)<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="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ab89d5ec56722c7dd636e3aea8cceb251" kindref="member">transform_vector_gradient</ref>(reference,<sp/>variation.<ref refid="structserif_1_1mapping_1_1_mapping_point_variation_1ad83c24847a9f323eba256d3c75506591" kindref="member">inverse_mapping_jacobian_variation</ref>);</highlight></codeline>
<codeline lineno="258"><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><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_3_01_operand_t_01_4_1a19e66801e742713444606acd913bce53" kindref="member">scalar_gradient</ref>)<sp/>{</highlight></codeline>
<codeline lineno="259"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a2a33b57688e94021dbfcd7ee260d4e07" kindref="member">transform_gradient</ref>(reference,<sp/>variation.<ref refid="structserif_1_1mapping_1_1_mapping_point_variation_1ad83c24847a9f323eba256d3c75506591" kindref="member">inverse_mapping_jacobian_variation</ref>);</highlight></codeline>
<codeline lineno="260"><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="261"><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/>{};</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/></highlight><highlight class="keyword">private</highlight><highlight class="normal">:</highlight></codeline>
<codeline lineno="267"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ab89d5ec56722c7dd636e3aea8cceb251" kindref="member">transform_vector_gradient</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref>&amp;<sp/>gradient,<sp/>const<sp/>::mfem::DenseMatrix&amp;<sp/>inverse)<sp/></highlight><highlight class="keyword">requires</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a2041df624fb6d09340075fd2d8d69f72" kindref="member">vector_gradient</ref><sp/>{</highlight></codeline>
<codeline lineno="268"><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_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/>result{};</highlight></codeline>
<codeline lineno="269"><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/>component<sp/>&lt;<sp/>3;<sp/>++component)<sp/>{</highlight></codeline>
<codeline lineno="270"><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/>physical<sp/>=<sp/>0;<sp/>physical<sp/>&lt;<sp/>3;<sp/>++physical)<sp/>{</highlight></codeline>
<codeline lineno="271"><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="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>reference<sp/>=<sp/>0;<sp/>reference<sp/>&lt;<sp/>3;<sp/>++reference)<sp/>{</highlight></codeline>
<codeline lineno="272"><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/>result[component][physical]<sp/>+=<sp/>gradient[3<sp/>*<sp/>component<sp/>+<sp/>reference]<sp/>*<sp/>inverse(reference,<sp/>physical);</highlight></codeline>
<codeline lineno="273"><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="274"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="275"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="276"><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/>result;</highlight></codeline>
<codeline lineno="277"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="278"><highlight class="normal"></highlight></codeline>
<codeline lineno="280"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a2a33b57688e94021dbfcd7ee260d4e07" kindref="member">transform_gradient</ref>(</highlight></codeline>
<codeline lineno="281"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref>&amp;<sp/>gradient,</highlight></codeline>
<codeline lineno="282"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::DenseMatrix&amp;<sp/>inverse</highlight></codeline>
<codeline lineno="283"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/></highlight><highlight class="keyword">requires</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a19e66801e742713444606acd913bce53" kindref="member">scalar_gradient</ref><sp/>{</highlight></codeline>
<codeline lineno="284"><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_3_01_operand_t_01_4_1a8605e5c7c0fb2604ce361fdd9b843db5" kindref="member">Value</ref><sp/>result{};</highlight></codeline>
<codeline lineno="285"><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/>physical<sp/>=<sp/>0;<sp/>physical<sp/>&lt;<sp/>3;<sp/>++physical)<sp/>{</highlight></codeline>
<codeline lineno="286"><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/>reference<sp/>=<sp/>0;<sp/>reference<sp/>&lt;<sp/>3;<sp/>++reference)<sp/>{</highlight></codeline>
<codeline lineno="287"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result[physical]<sp/>+=<sp/>inverse(reference,<sp/>physical)<sp/>*<sp/>gradient[reference];</highlight></codeline>
<codeline lineno="288"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="289"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="290"><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/>result;</highlight></codeline>
<codeline lineno="291"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="292"><highlight class="normal"></highlight></codeline>
<codeline lineno="294"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1adabdf4efcd0757f644a8cc119ec9c62d" kindref="member">gradient_trace</ref>(</highlight></codeline>
<codeline lineno="295"><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/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1a3e74dbac3c6a1ba1ed2c42d1ef36bc80" kindref="member">ReferenceValue</ref>&amp;<sp/>gradient,</highlight></codeline>
<codeline lineno="296"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::DenseMatrix&amp;<sp/>inverse</highlight></codeline>
<codeline lineno="297"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>)<sp/></highlight><highlight class="keyword">requires</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator_3_01_operand_t_01_4_1ac0153eb3fedb8ce03f47d653e25ae09a" kindref="member">h1_divergence</ref><sp/>{</highlight></codeline>
<codeline lineno="298"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>result<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="299"><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/>component<sp/>&lt;<sp/>3;<sp/>++component)<sp/>{</highlight></codeline>
<codeline lineno="300"><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="301"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result<sp/>+=<sp/>gradient[3<sp/>*<sp/>component<sp/>+<sp/>derivative]<sp/>*<sp/>inverse(derivative,<sp/>component);</highlight></codeline>
<codeline lineno="302"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="303"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="304"><highlight class="normal"></highlight></codeline>
<codeline lineno="305"><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/>result;</highlight></codeline>
<codeline lineno="306"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="307"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="308"><highlight class="normal"></highlight></codeline>
<codeline lineno="310"><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/>OperandT&gt;</highlight></codeline>
<codeline lineno="311" refid="conceptserif_1_1operators_1_1backend_1_1mfem_1_1_evaluable_operand" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">concept<sp/></highlight><highlight class="normal"><ref refid="conceptserif_1_1operators_1_1backend_1_1mfem_1_1_evaluable_operand" kindref="compound">EvaluableOperand</ref><sp/>=<sp/></highlight><highlight class="keyword">requires</highlight><highlight class="normal">(</highlight></codeline>
<codeline lineno="312"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_map" kindref="compound">discretization::backend::mfem::DofMap</ref>&amp;<sp/>binding,</highlight></codeline>
<codeline lineno="313"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::IntegrationRule&amp;<sp/>rule,</highlight></codeline>
<codeline lineno="314"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::ElementTransformation&amp;<sp/>transformation,</highlight></codeline>
<codeline lineno="315"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>reference_basis,</highlight></codeline>
<codeline lineno="316"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_basis_evaluation" kindref="compound">BasisEvaluation</ref>&amp;<sp/>mapped_basis,</highlight></codeline>
<codeline lineno="317"><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/>cache,</highlight></codeline>
<codeline lineno="318"><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>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="319"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>coefficients,</highlight></codeline>
<codeline lineno="320"><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>&amp;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,</highlight></codeline>
<codeline lineno="321"><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">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;::ReferenceValue</ref>&amp;<sp/>reference_value,</highlight></codeline>
<codeline lineno="322"><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_1mapping_1_1_mapping_point_context" kindref="compound">mapping::MappingPointContext</ref>&amp;<sp/>context,</highlight></codeline>
<codeline lineno="323"><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_1mapping_1_1_mapping_point_variation" kindref="compound">mapping::MappingPointVariation</ref>&amp;<sp/>variation</highlight></codeline>
<codeline lineno="324"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="325"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><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="326"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><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;::ReferenceValue</ref>;</highlight></codeline>
<codeline lineno="327"><highlight class="normal"><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;::components</ref><sp/>}<sp/>-&gt;<sp/>std::convertible_to&lt;int&gt;;</highlight></codeline>
<codeline lineno="328"><highlight class="normal"><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;::reference_components</ref><sp/>}<sp/>-&gt;<sp/>std::convertible_to&lt;int&gt;;</highlight></codeline>
<codeline lineno="329"><highlight class="normal"><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;::geometry_dependent</ref><sp/>}<sp/>-&gt;<sp/>std::convertible_to&lt;bool&gt;;</highlight></codeline>
<codeline lineno="330"><highlight class="normal"><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>(binding,<sp/>0,<sp/>rule,<sp/>mapped_basis,<sp/>cache,<sp/>ContractionMode::automatic,<sp/>transformation,<sp/>workspace)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;void&gt;;</highlight></codeline>
<codeline lineno="331"><highlight class="normal"><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;::evaluate</ref>(reference_basis,<sp/>coefficients,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,<sp/>workspace)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;void&gt;;</highlight></codeline>
<codeline lineno="332"><highlight class="normal"><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;::integrate</ref>(reference_basis,<sp/>coefficients,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>,<sp/>workspace)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;void&gt;;</highlight></codeline>
<codeline lineno="333"><highlight class="normal"><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;::reference_value</ref>(coefficients,<sp/>0)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;typename<sp/>OperandEvaluator&lt;OperandT&gt;::ReferenceValue&gt;;</highlight></codeline>
<codeline lineno="334"><highlight class="normal"><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;::physical_value</ref>(reference_value,<sp/>context)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;typename<sp/>OperandEvaluator&lt;OperandT&gt;::Value&gt;;</highlight></codeline>
<codeline lineno="335"><highlight class="normal"><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;::geometry_variation</ref>(reference_value,<sp/>context,<sp/>variation)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;typename<sp/>OperandEvaluator&lt;OperandT&gt;::Value&gt;;</highlight></codeline>
<codeline lineno="336"><highlight class="normal"><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>(0,<sp/>context,<sp/>reference_basis,<sp/>mapped_basis,<sp/>workspace)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;void&gt;;</highlight></codeline>
<codeline lineno="337"><highlight class="normal"><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>(0,<sp/>context,<sp/>reference_basis,<sp/>mapped_basis,<sp/>workspace,<sp/>&amp;variation)<sp/>}<sp/>-&gt;<sp/>std::same_as&lt;void&gt;;</highlight></codeline>
<codeline lineno="338"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="339"><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/operand_evaluation.hpp"/>
  </compounddef>
</doxygen>