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<link refid="type__list_8hpp"/>
</node>
<node id="30">
<label>serif/utils/user_options/mapping/compactification/kelvin.hpp</label>
<link refid="utils_2user__options_2mapping_2compactification_2kelvin_8hpp"/>
</node>
<node id="99">
<label>serif/utils/user_options/mapping/domain_mapper.hpp</label>
<link refid="utils_2user__options_2mapping_2domain__mapper_8hpp"/>
</node>
<node id="33">
<label>algorithm</label>
</node>
<node id="2">
<label>array</label>
</node>
<node id="3">
<label>cmath</label>
</node>
<node id="55">
<label>compare</label>
</node>
<node id="48">
<label>concepts</label>
</node>
<node id="61">
<label>cstddef</label>
</node>
<node id="17">
<label>cstdint</label>
</node>
<node id="39">
<label>cstdio</label>
</node>
<node id="43">
<label>cstdlib</label>
</node>
<node id="46">
<label>exception</label>
</node>
<node id="4">
<label>expected</label>
</node>
<node id="38">
<label>format</label>
</node>
<node id="50">
<label>iostream</label>
</node>
<node id="34">
<label>limits</label>
</node>
<node id="26">
<label>magic_enum/magic_enum_all.hpp</label>
</node>
<node id="6">
<label>memory</label>
</node>
<node id="73">
<label>mfem/fem/eltrans.hpp</label>
</node>
<node id="14">
<label>mfem/fem/fe/fe_base.hpp</label>
</node>
<node id="35">
<label>mfem/fem/fe/fe_h1.hpp</label>
</node>
<node id="36">
<label>mfem/fem/fe/fe_l2.hpp</label>
</node>
<node id="15">
<label>mfem/fem/fespace.hpp</label>
</node>
<node id="8">
<label>mfem/fem/intrules.hpp</label>
</node>
<node id="84">
<label>mfem/fem/pfespace.hpp</label>
</node>
<node id="10">
<label>mfem/linalg/densemat.hpp</label>
</node>
<node id="12">
<label>mfem/linalg/vector.hpp</label>
</node>
<node id="16">
<label>mfem/mesh/mesh.hpp</label>
</node>
<node id="69">
<label>nameof.hpp</label>
</node>
<node id="63">
<label>numeric</label>
</node>
<node id="83">
<label>optional</label>
</node>
<node id="62">
<label>span</label>
</node>
<node id="72">
<label>stdexcept</label>
</node>
<node id="40">
<label>string</label>
</node>
<node id="19">
<label>string_view</label>
</node>
<node id="56">
<label>tuple</label>
</node>
<node id="25">
<label>type_traits</label>
</node>
<node id="44">
<label>unistd.h</label>
</node>
<node id="21">
<label>unordered_map</label>
</node>
<node id="22">
<label>utility</label>
</node>
<node id="7">
<label>vector</label>
</node>
<node id="41">
<label>version</label>
</node>
</incdepgraph>
<invincdepgraph>
<node id="19">
<label>src/compile_time_checks/serif/model/scalar_row.cpp</label>
<link refid="compile__time__checks_2serif_2model_2scalar__row_8cpp"/>
</node>
<node id="9">
<label>src/compile_time_checks/serif/model/state.cpp</label>
<link refid="state_8cpp"/>
</node>
<node id="4">
<label>src/compile_time_checks/serif/operators/computation_owners.cpp</label>
<link refid="computation__owners_8cpp"/>
</node>
<node id="5">
<label>src/include/serif/backend/mfem/model/computations/interior.hpp</label>
<link refid="interior_8hpp"/>
<childnode refid="6" relation="include">
</childnode>
<childnode refid="16" relation="include">
</childnode>
<childnode refid="17" relation="include">
</childnode>
<childnode refid="7" relation="include">
</childnode>
</node>
<node id="6">
<label>src/include/serif/backend/mfem/model/computations/potential_infinity.hpp</label>
<link refid="potential__infinity_8hpp"/>
<childnode refid="7" relation="include">
</childnode>
</node>
<node id="16">
<label>src/include/serif/backend/mfem/model/computations/pressure_boundary.hpp</label>
<link refid="model_2computations_2pressure__boundary_8hpp"/>
<childnode refid="7" relation="include">
</childnode>
</node>
<node id="18">
<label>src/include/serif/backend/mfem/model/computations/scalar_row.hpp</label>
<link refid="computations_2scalar__row_8hpp"/>
<childnode refid="19" relation="include">
</childnode>
<childnode refid="5" relation="include">
</childnode>
</node>
<node id="17">
<label>src/include/serif/backend/mfem/model/computations/surface_potential.hpp</label>
<link refid="backend_2mfem_2model_2computations_2surface__potential_8hpp"/>
<childnode refid="7" relation="include">
</childnode>
</node>
<node id="8">
<label>src/include/serif/backend/mfem/model/equilibrium.hpp</label>
<link refid="backend_2mfem_2model_2equilibrium_8hpp"/>
<childnode refid="9" relation="include">
</childnode>
<childnode refid="10" relation="include">
</childnode>
</node>
<node id="7">
<label>src/include/serif/backend/mfem/model/graph.hpp</label>
<link refid="backend_2mfem_2model_2graph_8hpp"/>
<childnode refid="8" relation="include">
</childnode>
<childnode refid="15" relation="include">
</childnode>
</node>
<node id="1">
<label>src/include/serif/backend/mfem/operators/geometry_derivatives.hpp</label>
<link refid="geometry__derivatives_8hpp"/>
<childnode refid="2" relation="include">
</childnode>
</node>
<node id="3">
<label>src/include/serif/backend/mfem/operators/volume_computations.hpp</label>
<link refid="volume__computations_8hpp"/>
<childnode refid="4" relation="include">
</childnode>
<childnode refid="5" relation="include">
</childnode>
<childnode refid="18" relation="include">
</childnode>
</node>
<node id="2">
<label>src/include/serif/backend/mfem/operators/volume_stages.hpp</label>
<link refid="volume__stages_8hpp"/>
<childnode refid="3" relation="include">
</childnode>
</node>
<node id="15">
<label>src/include/serif/backend/mfem/solver/admissibility/geometry.hpp</label>
<link refid="geometry_8hpp"/>
<childnode refid="10" relation="include">
</childnode>
</node>
<node id="11">
<label>src/include/serif/backend/mfem/solver/equilibrium.hpp</label>
<link refid="backend_2mfem_2solver_2equilibrium_8hpp"/>
<childnode refid="12" relation="include">
</childnode>
</node>
<node id="10">
<label>src/include/serif/backend/mfem/solver/nonlinear/stellar_problem.hpp</label>
<link refid="stellar__problem_8hpp"/>
<childnode refid="11" relation="include">
</childnode>
</node>
<node id="13">
<label>src/include/serif/solver/continuation/equilibrium.hpp</label>
<link refid="solver_2continuation_2equilibrium_8hpp"/>
<childnode refid="14" relation="include">
</childnode>
</node>
<node id="12">
<label>src/include/serif/solver/equilibrium.hpp</label>
<link refid="solver_2equilibrium_8hpp"/>
<childnode refid="13" relation="include">
</childnode>
<childnode refid="14" relation="include">
</childnode>
</node>
<node id="14">
<label>src/include/serif/solver/solver.hpp</label>
<link refid="solver_2solver_8hpp"/>
</node>
</invincdepgraph>
<innernamespace refid="namespaceserif">serif</innernamespace>
<innernamespace refid="namespaceserif_1_1operators">serif::operators</innernamespace>
<innernamespace refid="namespaceserif_1_1operators_1_1backend">serif::operators::backend</innernamespace>
<innernamespace refid="namespaceserif_1_1operators_1_1backend_1_1mfem">serif::operators::backend::mfem</innernamespace>
<briefdescription>
</briefdescription>
<detaileddescription>
</detaileddescription>
<programlisting>
<codeline lineno="1"><highlight class="preprocessor">#pragma<sp/>once</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="2"><highlight class="normal"></highlight></codeline>
<codeline lineno="3"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;array&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cmath&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;expected&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="element__data_8hpp" kindref="compound">serif/backend/mfem/operators/element_data.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="operand__evaluation_8hpp" kindref="compound">serif/backend/mfem/operators/operand_evaluation.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="9"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="rejection_8hpp" kindref="compound">serif/backend/mfem/operators/rejection.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="backend_2mfem_2operators_2workspace_8hpp" kindref="compound">serif/backend/mfem/operators/workspace.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="operators_2plan_8hpp" kindref="compound">serif/operators/plan.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="backend_2mfem_2mapping_2domain__mapper_8hpp" kindref="compound">serif/backend/mfem/mapping/domain_mapper.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="parallel_8hpp" kindref="compound">serif/backend/mfem/shared/parallel.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="14"><highlight class="normal"></highlight></codeline>
<codeline lineno="15"><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="17"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>Equation,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Contribution&gt;</highlight></codeline>
<codeline lineno="18"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a577897a42fe8c789145e4b735d9bc13e" kindref="member">geometry_integrand_variation</ref>(</highlight></codeline>
<codeline lineno="19"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_data" kindref="compound">ElementData</ref>&lt;EquationPlan&lt;Equation&gt;::operand_count&gt;&amp;<sp/>data,</highlight></codeline>
<codeline lineno="20"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point,</highlight></codeline>
<codeline lineno="21"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::VolumeMappingContext&amp;<sp/>context,</highlight></codeline>
<codeline lineno="22"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::VolumeMappingVariation&amp;<sp/>variation</highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="24"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;Equation&gt;;</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Test<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;equations::TestOperandOf&lt;Contribution&gt;</ref>&gt;;</highlight></codeline>
<codeline lineno="26"><highlight class="normal"></highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Test::Value<sp/>result{};</highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>output<sp/>=<sp/>0;<sp/>output<sp/>&lt;<sp/>Test::components;<sp/>++output)<sp/>{</highlight></codeline>
<codeline lineno="29"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>row<sp/>=<sp/>point<sp/>*<sp/>Test::components<sp/>+<sp/>output;</highlight></codeline>
<codeline lineno="30"><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/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>=<sp/>data.weighted_residual[row]<sp/>*<sp/>variation.weight_variation<sp/>/<sp/>context.quadrature.physical_integration_weight;</highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>axis<sp/>=<sp/>0;<sp/>axis<sp/>&lt;<sp/>3;<sp/>++axis)<sp/>{</highlight></codeline>
<codeline lineno="32"><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_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>+=<sp/>data.weighted_position_derivative(row,<sp/>axis)<sp/>*<sp/>variation.mapping.physical_position_variation[axis];</highlight></codeline>
<codeline lineno="33"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="34"><highlight class="normal"><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/>output)<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>;</highlight></codeline>
<codeline lineno="35"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::template<sp/>for_each_input&lt;Contribution&gt;([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Operand&gt;(Operand,<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="37"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Evaluator<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;Operand&gt;</ref>;</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(Evaluator::geometry_dependent)<sp/>{</highlight></codeline>
<codeline lineno="39"><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/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>delta<sp/>=<sp/>Evaluator::geometry_variation(</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Evaluator::reference_value(*data.reference_operand_values[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>point),<sp/>context.mapping,<sp/>variation.mapping</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></codeline>
<codeline lineno="42"><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/>output<sp/>=<sp/>0;<sp/>output<sp/>&lt;<sp/>Test::components;<sp/>++output)<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/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>input<sp/>=<sp/>0;<sp/>input<sp/>&lt;<sp/>Evaluator::components;<sp/>++input)<sp/>{</highlight></codeline>
<codeline lineno="44"><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/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(result,<sp/>output)<sp/>+=<sp/>data.weighted_field_derivatives(</highlight></codeline>
<codeline lineno="45"><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/>point<sp/>*<sp/>Test::components<sp/>+<sp/>output,<sp/>Plan::template<sp/>component_offset&lt;Operand&gt;()<sp/>+<sp/>input</highlight></codeline>
<codeline lineno="46"><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/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(delta,<sp/>input);</highlight></codeline>
<codeline lineno="47"><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="48"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="53"><highlight class="normal"></highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>Equation,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Contribution&gt;</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;::mfem::DenseMatrix,<sp/>PreparationRejection&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a00398afa05ef5a99a38c2e2324a9f973" kindref="member">element_geometry_derivatives</ref>(</highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_element_data" kindref="compound">ElementData</ref>&lt;EquationPlan&lt;Equation&gt;::operand_count&gt;&amp;<sp/>data,</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>discretization::backend::mfem::DofMap&amp;<sp/>displacement_binding,</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::FiniteElementSpace&amp;<sp/>compactification_space,</highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::DomainMapper&amp;<sp/>mapper,</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Test<sp/>=<sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_operand_evaluator" kindref="compound">OperandEvaluator&lt;equations::TestOperandOf&lt;Contribution&gt;</ref>&gt;;</highlight></codeline>
<codeline lineno="72"><highlight class="normal"></highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>element<sp/>=<sp/>*displacement_binding.space().GetFE(data.element);</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.element_values<sp/>=<sp/>data.geometry-&gt;displacement;</highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>base<sp/>=<sp/><ref refid="namespaceserif_1_1mapping_1a89488756ce19ff5351dfbeb4235849c3" kindref="member">mapping::element_displacement_data_from_element_vdofs</ref>(element,<sp/>workspace.element_values);</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::ElementCompactificationData<sp/>compactification(</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>*compactification_space.GetFE(data.element),<sp/>data.geometry-&gt;compactification</highlight></codeline>
<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::ElementMappingData<sp/>mapping_data{base,<sp/>compactification};</highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::IsoparametricTransformation<sp/>transformation;</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a8e0e78d02ab6c49ae588644e579bed79" kindref="member">::serif::utils::parallel::element_transformation</ref>(*displacement_binding.space().GetMesh(),<sp/>data.element,<sp/>transformation);</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>points<sp/>=<sp/>data.basis-&gt;rule-&gt;GetNPoints();</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::DenseMatrix<sp/>result(points<sp/>*<sp/>Test::reference_components,<sp/>12);</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>mapping::DMReferenceDisplacementSample<sp/>sample{workspace.displacement_value,<sp/>workspace.displacement_gradient};</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>mapping::CompactificationPointData<sp/>compactification_sample;</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::DenseMatrix<sp/>inverse_mesh_jacobian(3);</highlight></codeline>
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>point<sp/>=<sp/>0;<sp/>point<sp/>&lt;<sp/>points;<sp/>++point)<sp/>{</highlight></codeline>
<codeline lineno="88"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.geometry-&gt;mapping.load(point,<sp/>workspace.mapping_context);</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>All<sp/>twelve<sp/>directions<sp/>share<sp/>the<sp/>inverse<sp/>fixed-mesh<sp/>Jacobian,<sp/>the<sp/>compactification<sp/>sample</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>and<sp/>the<sp/>physical<sp/>test<sp/>values<sp/>at<sp/>this<sp/>point.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Mult(workspace.mapping_context.quadrature.J_element_to_physical_inverse,</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.mapping_context.mapping.mapping_jacobian,<sp/>inverse_mesh_jacobian);</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/>mapping::CompactificationPointData*<sp/>fixed_sample<sp/>=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="94"><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/>(workspace.mapping_context.mapping.compactified)<sp/>{</highlight></codeline>
<codeline lineno="95"><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/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>status<sp/>=<sp/>mapper.evaluate_compactification_coordinate(</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>compactification,<sp/>transformation,<sp/>data.basis-&gt;rule-&gt;IntPoint(point),</highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.mapping_workspace,<sp/>compactification_sample,<sp/>&amp;inverse_mesh_jacobian</highlight></codeline>
<codeline lineno="98"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(status<sp/>!=<sp/><ref refid="namespaceserif_1_1mapping_1a4d8ed5ebf76c79667efd6777f3ee3b97ac9f1a6384b1c466d4612f513bd8e13ea" kindref="member">mapping::MappingStatus::VALID</ref>)<sp/>{</highlight></codeline>
<codeline lineno="100"><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">return</highlight><highlight class="normal"><sp/>std::unexpected(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="101"><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/>.reason<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba2fa399f11879d3347f324fe703fb9f97" kindref="member">PreparationRejectionReason::MAPPING</ref>,<sp/>.mapping_status<sp/>=<sp/>status,</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/><sp/><sp/><sp/><sp/>.element<sp/>=<sp/>data.element,<sp/>.quadrature_point<sp/>=<sp/>point,</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/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;Invalid<sp/>fixed<sp/>compactification<sp/>sample<sp/>for<sp/>an<sp/>equation<sp/>derivative.&quot;</highlight><highlight class="normal"></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/>});</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fixed_sample<sp/>=<sp/>&amp;compactification_sample;</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;typename<sp/>Test::Value,<sp/>Test::reference_components&gt;<sp/>tests;</highlight></codeline>
<codeline lineno="109"><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/>test_component<sp/>=<sp/>0;<sp/>test_component<sp/>&lt;<sp/>Test::reference_components;<sp/>++test_component)<sp/>{</highlight></codeline>
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Test::ReferenceValue<sp/>reference{};</highlight></codeline>
<codeline lineno="111"><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>(reference,<sp/>test_component)<sp/>=<sp/>1.0;</highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>tests[test_component]<sp/>=<sp/>Test::physical_value(reference,<sp/>workspace.mapping_context.mapping);</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>component<sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref><sp/>&lt;<sp/>12;<sp/>++<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>)<sp/>{</highlight></codeline>
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.displacement_value<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.displacement_gradient<sp/>=<sp/>0.0;</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><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(component<sp/>%<sp/>4<sp/>==<sp/>0)<sp/>{</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.displacement_value[<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref><sp/>/<sp/>4]<sp/>=<sp/>1.0;</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><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="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.displacement_gradient(component<sp/>/<sp/>4,<sp/>component<sp/>%<sp/>4<sp/>-<sp/>1)<sp/>=<sp/>1.0;</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>status<sp/>=<sp/>mapper.evaluate_volume_direction_variation(</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>mapping_data,<sp/>base,<sp/>transformation,<sp/>data.basis-&gt;rule-&gt;IntPoint(point),</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.mapping_context,<sp/>workspace.mapping_workspace,<sp/>workspace.mapping_variation,<sp/>sample,<sp/>fixed_sample,</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>inverse_mesh_jacobian</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>);</highlight></codeline>
<codeline lineno="127"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(status<sp/>!=<sp/><ref refid="namespaceserif_1_1mapping_1a4d8ed5ebf76c79667efd6777f3ee3b97ac9f1a6384b1c466d4612f513bd8e13ea" kindref="member">mapping::MappingStatus::VALID</ref>)<sp/>{</highlight></codeline>
<codeline lineno="128"><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">return</highlight><highlight class="normal"><sp/>std::unexpected(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="129"><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/>.reason<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba2fa399f11879d3347f324fe703fb9f97" kindref="member">PreparationRejectionReason::MAPPING</ref>,<sp/>.mapping_status<sp/>=<sp/>status,</highlight></codeline>
<codeline lineno="130"><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/>.element<sp/>=<sp/>data.element,<sp/>.quadrature_point<sp/>=<sp/>point,</highlight></codeline>
<codeline lineno="131"><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/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;Invalid<sp/>local<sp/>displacement<sp/>derivative<sp/>of<sp/>an<sp/>equation.&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="132"><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="133"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</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><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>physics<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a577897a42fe8c789145e4b735d9bc13e" kindref="member">geometry_integrand_variation&lt;Equation, Contribution&gt;</ref>(</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data,<sp/>point,<sp/>workspace.mapping_context,<sp/>workspace.mapping_variation</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></codeline>
<codeline lineno="137"><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/>test_component<sp/>=<sp/>0;<sp/>test_component<sp/>&lt;<sp/>Test::reference_components;<sp/>++test_component)<sp/>{</highlight></codeline>
<codeline lineno="138"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Test::ReferenceValue<sp/>reference{};</highlight></codeline>
<codeline lineno="139"><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>(reference,<sp/>test_component)<sp/>=<sp/>1.0;</highlight></codeline>
<codeline lineno="140"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>test<sp/>=<sp/>tests[test_component];</highlight></codeline>
<codeline lineno="141"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>test_variation<sp/>=<sp/>Test::geometry_variation(reference,<sp/>workspace.mapping_context.mapping,<sp/>workspace.mapping_variation.mapping);</highlight></codeline>
<codeline lineno="142"><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="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="143"><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/>output<sp/>=<sp/>0;<sp/>output<sp/>&lt;<sp/>Test::components;<sp/>++output)<sp/>{</highlight></codeline>
<codeline lineno="144"><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/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>+=<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(test,<sp/>output)<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(physics,<sp/>output)</highlight></codeline>
<codeline lineno="145"><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/>data.weighted_residual[point<sp/>*<sp/>Test::components<sp/>+<sp/>output]<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">discretization::forms::component</ref>(test_variation,<sp/>output);</highlight></codeline>
<codeline lineno="146"><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="147"><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">if</highlight><highlight class="normal"><sp/>(!std::isfinite(value))<sp/>{</highlight></codeline>
<codeline lineno="148"><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">return</highlight><highlight class="normal"><sp/>std::unexpected(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_preparation_rejection" kindref="compound">PreparationRejection</ref>{</highlight></codeline>
<codeline lineno="149"><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/>.reason<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a0e2d3476ce9bd0fbfb31bcbaac8032bba84418f7bf291a48bf2af58f248595ebf" kindref="member">PreparationRejectionReason::NON_FINITE</ref>,<sp/>.element<sp/>=<sp/>data.element,</highlight></codeline>
<codeline lineno="150"><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/>.quadrature_point<sp/>=<sp/>point,<sp/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;Non-finite<sp/>local<sp/>displacement<sp/>derivative<sp/>of<sp/>an<sp/>equation.&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="151"><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="152"><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="153"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result(point<sp/>*<sp/>Test::reference_components<sp/>+<sp/>test_component,<sp/>component)<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>;</highlight></codeline>
<codeline lineno="154"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="155"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="156"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="157"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="158"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="159"><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/geometry_derivatives.hpp"/>
</compounddef>
</doxygen>