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<codeline lineno="1"><highlight class="preprocessor">#include<sp/>&quot;<ref refid="boundary__trace_8hpp" kindref="compound">serif/backend/mfem/discretization/boundary_trace.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="2"><highlight class="normal"></highlight></codeline>
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<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;limits&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;map&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;vector&gt;</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="9"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem" kindref="compound">serif::discretization::backend::mfem</ref></highlight></codeline>
<codeline lineno="10"><highlight class="normal">{</highlight></codeline>
<codeline lineno="11"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">namespace</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="13"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Stencil<sp/>=<sp/>std::map&lt;int,<sp/>double&gt;;</highlight></codeline>
<codeline lineno="14"><highlight class="normal"></highlight></codeline>
<codeline lineno="16"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/>validate_trace_space(const<sp/>::mfem::FiniteElementSpace&amp;<sp/>space)</highlight></codeline>
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<codeline lineno="20"><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;(space.GetVDim()<sp/>==<sp/>1<sp/>&amp;&amp;<sp/>space.FEColl()-&gt;GetContType()<sp/>==<sp/>::mfem::FiniteElementCollection::CONTINUOUS,<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>requires<sp/>a<sp/>scalar<sp/>H1<sp/>space.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="21"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Array&lt;int&gt;<sp/>dofs;</highlight></codeline>
<codeline lineno="22"><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/>element<sp/>=<sp/>0;<sp/>element<sp/>&lt;<sp/>space.GetNE();<sp/>++element)</highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="24"><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/>finite_element<sp/>=<sp/></highlight><highlight class="keyword">dynamic_cast&lt;</highlight><highlight class="keyword">const<sp/></highlight><highlight class="normal">::mfem::NodalFiniteElement*</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(space.GetFE(element));</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument&gt;(finite_element<sp/>!=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal"><sp/>&amp;&amp;<sp/>finite_element-&gt;GetRangeType()<sp/>==<sp/>::mfem::FiniteElement::SCALAR<sp/>&amp;&amp;<sp/>finite_element-&gt;GetMapType()<sp/>==<sp/>::mfem::FiniteElement::VALUE,<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>requires<sp/>nodal<sp/>scalar<sp/>VALUE<sp/>elements;<sp/>Bernstein<sp/>coefficients<sp/>are<sp/>not<sp/>nodal<sp/>values.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="26"><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/>transformation<sp/>=<sp/>space.GetElementDofs(element,<sp/>dofs);</highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument&gt;(transformation<sp/>==<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal"><sp/>||<sp/>transformation-&gt;IsIdentity(),<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>does<sp/>not<sp/>support<sp/>nonidentity<sp/>scalar<sp/>DOF<sp/>transformations.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_DOF_COUNT,<sp/>std::invalid_argument&gt;(finite_element-&gt;GetNodes().GetNPoints()<sp/>==<sp/>dofs.Size(),<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>requires<sp/>one<sp/>canonical<sp/>node<sp/>per<sp/>element<sp/>coefficient.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="29"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="30"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="31"><highlight class="normal"></highlight></codeline>
<codeline lineno="33"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>Stencil<sp/>sample_stencil(</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">DofMap</ref>&amp;<sp/>input,<sp/>const<sp/>::mfem::FiniteElementSpace*<sp/>space,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>element,<sp/>const<sp/>::mfem::IntegrationPoint&amp;<sp/>point)</highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="35"><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">utils::errors;</highlight></codeline>
<codeline lineno="36"><highlight class="normal"></highlight></codeline>
<codeline lineno="37"><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/>(space<sp/>==<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal">)</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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="keywordflow">return</highlight><highlight class="normal"><sp/>{{0,<sp/>1.0}};</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="41"><highlight class="normal"></highlight></codeline>
<codeline lineno="42"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Array&lt;int&gt;<sp/>dofs;</highlight></codeline>
<codeline lineno="43"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>space-&gt;GetElementDofs(element,<sp/>dofs);</highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Vector<sp/>shape(dofs.Size());</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>space-&gt;GetFE(element)-&gt;CalcShape(point,<sp/>shape);</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Stencil<sp/>stencil;</highlight></codeline>
<codeline lineno="47"><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/>local<sp/>=<sp/>0;<sp/>local<sp/>&lt;<sp/>dofs.Size();<sp/>++local)</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><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/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>encoded<sp/>=<sp/>dofs[local];</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::NON_FINITE_VALUE_ERROR,<sp/>std::invalid_argument&gt;(std::isfinite(shape[local]),<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>produced<sp/>a<sp/>non-finite<sp/>basis<sp/>value.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1geometry_1_1surface_1a739898ab5e92990aaeb57582842b1d1ca42bd4c0819c498d1c1ab622de74d6f82" kindref="member">supported</ref><sp/>=<sp/></highlight><highlight class="keyword">false</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>input.for_each_coefficient(::mfem::FiniteElementSpace::DecodeDof(encoded),<sp/>[&amp;](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>index,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>weight)<sp/>{</highlight></codeline>
<codeline lineno="53"><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_1geometry_1_1surface_1a739898ab5e92990aaeb57582842b1d1ca42bd4c0819c498d1c1ab622de74d6f82" kindref="member">supported</ref><sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>stencil[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>]<sp/>+=<sp/>weight<sp/>*<sp/>(encoded<sp/>&lt;<sp/>0<sp/>?<sp/>-shape[local]<sp/>:<sp/>shape[local]);</highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::NON_FINITE_VALUE_ERROR,<sp/>std::invalid_argument&gt;(std::isfinite(stencil[index]),<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>overflowed<sp/>while<sp/>combining<sp/>repeated<sp/>input<sp/>coefficients.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="56"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_DOMAIN_ERROR,<sp/>std::invalid_argument&gt;(supported,<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>encountered<sp/>an<sp/>input<sp/>coefficient<sp/>outside<sp/>its<sp/>declared<sp/>element<sp/>support.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="59"><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/>stencil;</highlight></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="61"><highlight class="normal"></highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>equivalent_stencils(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Stencil&amp;<sp/>first,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Stencil&amp;<sp/>second)</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::map&lt;int,<sp/>long<sp/>double&gt;<sp/>difference(first.begin(),<sp/>first.end());</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>magnitude<sp/>=<sp/>1.0L;</highlight></codeline>
<codeline lineno="67"><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="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>[column,<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>]<sp/>:<sp/>second)</highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/>difference[column]<sp/>-=<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>;</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>magnitude<sp/>+=<sp/>std::abs(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(<ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>));</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="72"><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">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>tolerance<sp/>=<sp/>128.0L<sp/>*<sp/>std::numeric_limits&lt;double&gt;::epsilon()<sp/>*<sp/>magnitude;</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::ranges::all_of(difference,<sp/>[tolerance](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>entry)</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::abs(entry.second)<sp/>&lt;=<sp/>tolerance;</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="79"><highlight class="normal"></highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/><ref refid="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace_1add0cca20092ddfef27fd8092f57c8bb9" kindref="member">ScalarBoundaryTrace::ScalarBoundaryTrace</ref>(std::shared_ptr&lt;const<sp/>DofSelection&gt;<sp/>rows,<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">DofMap</ref>&amp;<sp/>input,<sp/>std::shared_ptr&lt;const<sp/>::mfem::SparseMatrix&gt;<sp/>interpolation)<sp/>:<sp/>m_rows(std::move(rows)),<sp/>m_binding(input),<sp/>m_interpolation(std::move(interpolation))</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="83"><highlight class="normal"></highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>DofMap&amp;<sp/>ScalarBoundaryTrace::binding()<sp/>const<sp/>noexcept</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>m_binding;</highlight></codeline>
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="88"><highlight class="normal"></highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>DofSelection&amp;<sp/>ScalarBoundaryTrace::rows()<sp/>const<sp/>noexcept</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>*m_rows;</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="93"><highlight class="normal"></highlight></codeline>
<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/>const<sp/>::mfem::SparseMatrix&amp;<sp/>ScalarBoundaryTrace::interpolation()</highlight><highlight class="keyword"><sp/>const</highlight></codeline>
<codeline lineno="95"><highlight class="keyword"><sp/><sp/><sp/><sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>validate();</highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>*m_interpolation;</highlight></codeline>
<codeline lineno="98"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="99"><highlight class="normal"></highlight></codeline>
<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/>ScalarBoundaryTrace::validate()</highlight><highlight class="keyword"><sp/>const</highlight></codeline>
<codeline lineno="101"><highlight class="keyword"><sp/><sp/><sp/><sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>m_rows-&gt;validate();</highlight></codeline>
<codeline lineno="103"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>m_binding.validate();</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="105"><highlight class="normal"></highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/>ScalarBoundaryTrace<sp/>detail::build_boundary_trace(std::shared_ptr&lt;const<sp/>DofSelection&gt;<sp/>rows,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>DofMap&amp;<sp/>input,<sp/>const<sp/>::mfem::FiniteElementSpace*<sp/>input_space)</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</highlight></codeline>
<codeline lineno="109"><highlight class="normal"></highlight></codeline>
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument&gt;(rows<sp/>!=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal"><sp/>&amp;&amp;<sp/>rows-&gt;size()<sp/>&gt;<sp/>0,<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>requires<sp/>a<sp/>nonempty<sp/>residual-node<sp/>selection.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>rows-&gt;validate();</highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>input.validate();</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>DofMap&amp;<sp/>row_binding<sp/>=<sp/>rows-&gt;binding();</highlight></codeline>
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::MISMATCHED_MESHING_MAPS,<sp/>std::invalid_argument&gt;(&amp;row_binding.mesh()<sp/>==<sp/>&amp;input.mesh(),<sp/></highlight><highlight class="stringliteral">&quot;Boundary<sp/>interpolation<sp/>requires<sp/>input<sp/>and<sp/>residual<sp/>bindings<sp/>on<sp/>the<sp/>same<sp/>mesh.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::FiniteElementSpace&amp;<sp/>row_space<sp/>=<sp/>row_binding.space();</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>validate_trace_space(row_space);</highlight></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(input_space<sp/>!=<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal">)</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>validate_trace_space(*input_space);</highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="121"><highlight class="normal"></highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;int&gt;<sp/>selected(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(row_binding.size()),<sp/>-1);</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;Stencil&gt;<sp/>stencils(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(rows-&gt;size()));</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;bool&gt;<sp/>sampled(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(rows-&gt;size()),<sp/></highlight><highlight class="keyword">false</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="125"><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/>row<sp/>=<sp/>0;<sp/>row<sp/>&lt;<sp/>rows-&gt;size();<sp/>++row)</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><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/>selected[rows-&gt;reduced_dofs()[row]]<sp/>=<sp/>row;</highlight></codeline>
<codeline lineno="128"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="129"><highlight class="normal"></highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Array&lt;int&gt;<sp/>dofs;</highlight></codeline>
<codeline lineno="131"><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/>element<sp/>=<sp/>0;<sp/>element<sp/>&lt;<sp/>row_space.GetNE();<sp/>++element)</highlight></codeline>
<codeline lineno="132"><highlight class="normal"><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/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!row_binding.supports(element)<sp/>||<sp/>!input.supports(element))</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">continue</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="136"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>row_space.GetElementDofs(element,<sp/>dofs);</highlight></codeline>
<codeline lineno="138"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::IntegrationRule&amp;<sp/>nodes<sp/>=<sp/>row_space.GetFE(element)-&gt;GetNodes();</highlight></codeline>
<codeline lineno="139"><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/>local<sp/>=<sp/>0;<sp/>local<sp/>&lt;<sp/>dofs.Size();<sp/>++local)</highlight></codeline>
<codeline lineno="140"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="141"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument&gt;(dofs[local]<sp/>&gt;=<sp/>0,<sp/></highlight><highlight class="stringliteral">&quot;Nodal<sp/>residual<sp/>coordinates<sp/>require<sp/>unsigned<sp/>scalar<sp/>H1<sp/>DOFs.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="142"><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/>reduced<sp/>=<sp/>row_binding.reduced_dof(dofs[local]);</highlight></codeline>
<codeline lineno="143"><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="keywordtype">int</highlight><highlight class="normal"><sp/>row<sp/>=<sp/>reduced<sp/>?<sp/>selected[*reduced]<sp/>:<sp/>-1;</highlight></codeline>
<codeline lineno="144"><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/>(row<sp/>&lt;<sp/>0)</highlight></codeline>
<codeline lineno="145"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</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><highlight class="keywordflow">continue</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/>Stencil<sp/>candidate<sp/>=<sp/>sample_stencil(input,<sp/>input_space,<sp/>element,<sp/>nodes.IntPoint(local));</highlight></codeline>
<codeline lineno="149"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_ARGUMENT,<sp/>std::invalid_argument&gt;(!sampled[row]<sp/>||<sp/>equivalent_stencils(stencils[row],<sp/>candidate),<sp/></highlight><highlight class="stringliteral">&quot;Input<sp/>H1<sp/>interpolation<sp/>is<sp/>inconsistent<sp/>between<sp/>incident<sp/>elements<sp/>at<sp/>selected<sp/>residual<sp/>row<sp/>{};<sp/>verify<sp/>compatible<sp/>constrained<sp/>nodal<sp/>spaces.&quot;</highlight><highlight class="normal">,<sp/>row);</highlight></codeline>
<codeline lineno="150"><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/>(!sampled[row])</highlight></codeline>
<codeline lineno="151"><highlight class="normal"><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/>stencils[row]<sp/>=<sp/>std::move(candidate);</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/>sampled[row]<sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">;</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"></highlight></codeline>
<codeline lineno="158"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>interpolation<sp/>=<sp/>std::make_shared&lt;::mfem::SparseMatrix&gt;(rows-&gt;size(),<sp/>input.size());</highlight></codeline>
<codeline lineno="159"><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/>row<sp/>=<sp/>0;<sp/>row<sp/>&lt;<sp/>rows-&gt;size();<sp/>++row)</highlight></codeline>
<codeline lineno="160"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="161"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_DOMAIN_ERROR,<sp/>std::invalid_argument&gt;(sampled[row],<sp/></highlight><highlight class="stringliteral">&quot;Selected<sp/>residual<sp/>node<sp/>{}<sp/>has<sp/>no<sp/>incident<sp/>element<sp/>in<sp/>both<sp/>the<sp/>residual<sp/>and<sp/>input<sp/>supports.&quot;</highlight><highlight class="normal">,<sp/>row);</highlight></codeline>
<codeline lineno="162"><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="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>[column,<sp/>weight]<sp/>:<sp/>stencils[row])</highlight></codeline>
<codeline lineno="163"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="164"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>interpolation-&gt;Add(row,<sp/>column,<sp/>weight);</highlight></codeline>
<codeline lineno="165"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="166"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="167"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>interpolation-&gt;Finalize();</highlight></codeline>
<codeline lineno="168"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>ScalarBoundaryTrace(std::move(rows),<sp/>input,<sp/>std::move(interpolation));</highlight></codeline>
<codeline lineno="169"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="170"><highlight class="normal">}</highlight></codeline>
</programlisting>
<location file="src/lib/serif/backend/mfem/discretization/boundary_trace.cpp"/>
</compounddef>
</doxygen>