MeanField_SERiF/docs/xml/radial__locator_8cpp.xml

<?xml version='1.0' encoding='UTF-8' standalone='no'?>
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  <compounddef id="radial__locator_8cpp" kind="file" language="C++">
    <compoundname>radial_locator.cpp</compoundname>
    <includes local="no">algorithm</includes>
    <includes local="no">cmath</includes>
    <includes local="no">limits</includes>
    <includes local="yes">mfem/mesh/mesh.hpp</includes>
    <includes refid="radial__locator_8hpp" local="yes">serif/backend/mfem/geometry/deformation/detail/radial_locator.hpp</includes>
    <incdepgraph>
      <node id="6">
        <label>serif/backend/mfem/geometry/deformation/detail/radial_locator.hpp</label>
        <link refid="radial__locator_8hpp"/>
        <childnode refid="7" relation="include">
        </childnode>
        <childnode refid="8" relation="include">
        </childnode>
        <childnode refid="9" relation="include">
        </childnode>
      </node>
      <node id="9">
        <label>serif/geometry/deformation/failure.hpp</label>
        <link refid="geometry_2deformation_2failure_8hpp"/>
        <childnode refid="10" relation="include">
        </childnode>
        <childnode refid="11" relation="include">
        </childnode>
      </node>
      <node id="1">
        <label>src/lib/serif/backend/mfem/geometry/deformation/radial_locator.cpp</label>
        <link refid="radial__locator_8cpp"/>
        <childnode refid="2" relation="include">
        </childnode>
        <childnode refid="3" relation="include">
        </childnode>
        <childnode refid="4" relation="include">
        </childnode>
        <childnode refid="5" relation="include">
        </childnode>
        <childnode refid="6" relation="include">
        </childnode>
      </node>
      <node id="2">
        <label>algorithm</label>
      </node>
      <node id="3">
        <label>cmath</label>
      </node>
      <node id="10">
        <label>expected</label>
      </node>
      <node id="4">
        <label>limits</label>
      </node>
      <node id="7">
        <label>mfem/fem/intrules.hpp</label>
      </node>
      <node id="8">
        <label>mfem/linalg/vector.hpp</label>
      </node>
      <node id="5">
        <label>mfem/mesh/mesh.hpp</label>
      </node>
      <node id="11">
        <label>string</label>
      </node>
    </incdepgraph>
    <innernamespace refid="namespaceserif">serif</innernamespace>
    <innernamespace refid="namespaceserif_1_1geometry">serif::geometry</innernamespace>
    <innernamespace refid="namespaceserif_1_1geometry_1_1deformation">serif::geometry::deformation</innernamespace>
    <innernamespace refid="namespaceserif_1_1geometry_1_1deformation_1_1backend">serif::geometry::deformation::backend</innernamespace>
    <innernamespace refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem">serif::geometry::deformation::backend::mfem</innernamespace>
    <innernamespace refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail">serif::geometry::deformation::backend::mfem::detail</innernamespace>
    <briefdescription>
    </briefdescription>
    <detaileddescription>
    </detaileddescription>
    <programlisting>
<codeline lineno="1"><highlight class="preprocessor">#include<sp/>&lt;algorithm&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="2"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cmath&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="3"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;limits&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;mfem/mesh/mesh.hpp&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="radial__locator_8hpp" kindref="compound">serif/backend/mfem/geometry/deformation/detail/radial_locator.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail" kindref="compound">serif::geometry::deformation::backend::mfem::detail</ref><sp/>{</highlight></codeline>
<codeline lineno="8"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail_1a6e6de6a39085122a94b23c06512e48e8" kindref="member">logical_radius</ref>(const<sp/>::mfem::Vector&amp;<sp/>position)<sp/>{</highlight></codeline>
<codeline lineno="9"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>radius<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="10"><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/>component<sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref><sp/>&lt;<sp/>position.Size();<sp/>++<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>)<sp/>{</highlight></codeline>
<codeline lineno="11"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>radius<sp/>=<sp/>std::max(radius,<sp/>std::abs(position[component]));</highlight></codeline>
<codeline lineno="12"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="13"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>radius;</highlight></codeline>
<codeline lineno="14"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight></codeline>
<codeline lineno="16"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;double,<sp/>DeformationFailure&gt;<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail_1af74cbfc2f3db601dcb00258dace52361" kindref="member">boundary_logical_radius</ref>(::mfem::Mesh&amp;<sp/>mesh,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>attribute)<sp/>{</highlight></codeline>
<codeline lineno="17"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>minimum<sp/>=<sp/>std::numeric_limits&lt;double&gt;::infinity();</highlight></codeline>
<codeline lineno="18"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>maximum<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="19"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>samples<sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="20"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Vector<sp/>position(3);</highlight></codeline>
<codeline lineno="21"><highlight class="normal"></highlight></codeline>
<codeline lineno="22"><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/>boundary<sp/>=<sp/>0;<sp/>boundary<sp/>&lt;<sp/>mesh.GetNBE();<sp/>++boundary)<sp/>{</highlight></codeline>
<codeline lineno="23"><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/>(mesh.GetBdrAttribute(boundary)<sp/>!=<sp/>attribute)<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="keywordflow">continue</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="26"><highlight class="normal"></highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::ElementTransformation*<sp/>transformation<sp/>=<sp/>mesh.GetBdrElementTransformation(boundary);</highlight></codeline>
<codeline lineno="28"><highlight class="normal"></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/>geometry<sp/>=<sp/>mesh.GetBdrElementGeometry(boundary);</highlight></codeline>
<codeline lineno="30"><highlight class="normal"></highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(geometry<sp/>!=<sp/>::mfem::Geometry::SQUARE<sp/>||<sp/>transformation<sp/>==<sp/></highlight><highlight class="keyword">nullptr</highlight><highlight class="normal">)<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/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(DeformationFailure{.reason<sp/>=<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1abff36c0dd3d8b9c916a2e928ab69a871ad73416fa06a45d748a7c8d4349054cbb" kindref="member">DeformationFailureReason::incompatible_discretization</ref>,<sp/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>logical<sp/>radial<sp/>foliation<sp/>requires<sp/>quadrilateral<sp/>shell<sp/>elements.&quot;</highlight><highlight class="normal">,<sp/>.element<sp/>=<sp/>boundary});</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"></highlight></codeline>
<codeline lineno="35"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::IntegrationRule*<sp/>vertices<sp/>=<sp/>::mfem::Geometries.GetVertices(geometry);</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">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>vertex<sp/>=<sp/>0;<sp/>vertex<sp/>&lt;<sp/>vertices-&gt;GetNPoints();<sp/>++vertex)<sp/>{</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>transformation-&gt;Transform(vertices-&gt;IntPoint(vertex),<sp/>position);</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">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/>3;<sp/>++<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>)<sp/>{</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/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!std::isfinite(position[component]))<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/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(DeformationFailure{.reason<sp/>=<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1abff36c0dd3d8b9c916a2e928ab69a871a4013d0a2d04acba5257678a15922a094" kindref="member">DeformationFailureReason::non_finite</ref>,<sp/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;A<sp/>logical<sp/>boundary<sp/>vertex<sp/>is<sp/>non-finite.&quot;</highlight><highlight class="normal">,<sp/>.element<sp/>=<sp/>boundary,<sp/>.point<sp/>=<sp/>vertex});</highlight></codeline>
<codeline lineno="42"><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="43"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>radius<sp/>=<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail_1a6e6de6a39085122a94b23c06512e48e8" kindref="member">logical_radius</ref>(position);</highlight></codeline>
<codeline lineno="45"><highlight class="normal"></highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>minimum<sp/>=<sp/>std::min(minimum,<sp/>radius);</highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>maximum<sp/>=<sp/>std::max(maximum,<sp/>radius);</highlight></codeline>
<codeline lineno="48"><highlight class="normal"></highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>++samples;</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><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></codeline>
<codeline lineno="52"><highlight class="normal"></highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(samples<sp/>==<sp/>0<sp/>||<sp/>!(minimum<sp/>&gt;<sp/>0.0)<sp/>||<sp/>maximum<sp/>-<sp/>minimum<sp/>&gt;<sp/>1.0e-12<sp/>*<sp/>std::max(1.0,<sp/>maximum))<sp/>{</highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(DeformationFailure{.reason<sp/>=<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1abff36c0dd3d8b9c916a2e928ab69a871a146816aaee11d5a21b09baac60c9812e" kindref="member">DeformationFailureReason::invalid_geometry</ref>,<sp/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;A<sp/>required<sp/>logical<sp/>boundary<sp/>is<sp/>absent<sp/>or<sp/>is<sp/>not<sp/>a<sp/>positive<sp/>constant<sp/>L-infinity-radius<sp/>shell.&quot;</highlight><highlight class="normal">});</highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="56"><highlight class="normal"></highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>0.5<sp/>*<sp/>(minimum<sp/>+<sp/>maximum);</highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="59"><highlight class="normal"></highlight></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;LocatedBoundaryPoint,<sp/>DeformationFailure&gt;<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail_1a82e9f8756275515ac2ba12399df8680a" kindref="member">locate_boundary_point</ref>(::mfem::Mesh&amp;<sp/>mesh,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>attribute,<sp/>const<sp/>::mfem::Vector&amp;<sp/>target)<sp/>{</highlight></codeline>
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail_1_1_located_boundary_point" kindref="compound">LocatedBoundaryPoint</ref><sp/>best{.boundary_element<sp/>=<sp/>-1,<sp/>.point<sp/>=<sp/>{}};</highlight></codeline>
<codeline lineno="62"><highlight class="normal"></highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>best_residual<sp/>=<sp/>std::numeric_limits&lt;double&gt;::infinity();</highlight></codeline>
<codeline lineno="64"><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">double</highlight><highlight class="normal"><sp/>tolerance<sp/>=<sp/>2.0e-11<sp/>*<sp/>std::max(1.0,<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1_1backend_1_1mfem_1_1detail_1a6e6de6a39085122a94b23c06512e48e8" kindref="member">logical_radius</ref>(target));</highlight></codeline>
<codeline lineno="65"><highlight class="normal"></highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::Vector<sp/>transformed(3),<sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9" kindref="member">residual</ref>(3);</highlight></codeline>
<codeline lineno="67"><highlight class="normal"></highlight></codeline>
<codeline lineno="68"><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/>boundary<sp/>=<sp/>0;<sp/>boundary<sp/>&lt;<sp/>mesh.GetNBE();<sp/>++boundary)<sp/>{</highlight></codeline>
<codeline lineno="69"><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/>(mesh.GetBdrAttribute(boundary)<sp/>!=<sp/>attribute)<sp/>{</highlight></codeline>
<codeline lineno="70"><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="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="72"><highlight class="normal"></highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::ElementTransformation*<sp/>transformation<sp/>=<sp/>mesh.GetBdrElementTransformation(boundary);</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>::mfem::IntegrationPoint<sp/>point<sp/>=<sp/>::mfem::Geometries.GetCenter(::mfem::Geometry::SQUARE);</highlight></codeline>
<codeline lineno="75"><highlight class="normal"></highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>nonsingular<sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="77"><highlight class="normal"></highlight></codeline>
<codeline lineno="78"><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/>iteration<sp/>=<sp/>0;<sp/>iteration<sp/>&lt;<sp/>8;<sp/>++iteration)<sp/>{</highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>transformation-&gt;Transform(point,<sp/>transformed);</highlight></codeline>
<codeline lineno="80"><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_1blocks_1aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9" kindref="member">residual</ref><sp/>=<sp/>target;</highlight></codeline>
<codeline lineno="81"><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_1blocks_1aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9" kindref="member">residual</ref><sp/>-=<sp/>transformed;</highlight></codeline>
<codeline lineno="82"><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/>(<ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9" kindref="member">residual</ref>.Norml2()<sp/>&lt;=<sp/>tolerance)<sp/>{</highlight></codeline>
<codeline lineno="83"><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">break</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="85"><highlight class="normal"></highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>transformation-&gt;SetIntPoint(&amp;point);</highlight></codeline>
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::DenseMatrix&amp;<sp/>jacobian<sp/>=<sp/>transformation-&gt;Jacobian();</highlight></codeline>
<codeline lineno="88"><highlight class="normal"><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/>normal00<sp/>=<sp/>0.0,<sp/>normal01<sp/>=<sp/>0.0,<sp/>normal11<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><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/>right0<sp/>=<sp/>0.0,<sp/>right1<sp/>=<sp/>0.0;</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="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/>3;<sp/>++<ref refid="namespaceserif_1_1discretization_1_1forms_1aa4daa912e2157d80dc731a6ce2349dfe" kindref="member">component</ref>)<sp/>{</highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>normal00<sp/>+=<sp/>jacobian(component,<sp/>0)<sp/>*<sp/>jacobian(component,<sp/>0);</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>normal01<sp/>+=<sp/>jacobian(component,<sp/>0)<sp/>*<sp/>jacobian(component,<sp/>1);</highlight></codeline>
<codeline lineno="93"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>normal11<sp/>+=<sp/>jacobian(component,<sp/>1)<sp/>*<sp/>jacobian(component,<sp/>1);</highlight></codeline>
<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>right0<sp/>+=<sp/>jacobian(component,<sp/>0)<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9" kindref="member">residual</ref>(component);</highlight></codeline>
<codeline lineno="95"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>right1<sp/>+=<sp/>jacobian(component,<sp/>1)<sp/>*<sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9" kindref="member">residual</ref>(component);</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="97"><highlight class="normal"></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><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>determinant<sp/>=<sp/>normal00<sp/>*<sp/>normal11<sp/>-<sp/>normal01<sp/>*<sp/>normal01;</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/>(!(std::abs(determinant)<sp/>&gt;<sp/>std::numeric_limits&lt;double&gt;::epsilon()))<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/>nonsingular<sp/>=<sp/></highlight><highlight class="keyword">false</highlight><highlight class="normal">;</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/></highlight><highlight class="keywordflow">break</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/>point.x<sp/>+=<sp/>(normal11<sp/>*<sp/>right0<sp/>-<sp/>normal01<sp/>*<sp/>right1)<sp/>/<sp/>determinant;</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>point.y<sp/>+=<sp/>(normal00<sp/>*<sp/>right1<sp/>-<sp/>normal01<sp/>*<sp/>right0)<sp/>/<sp/>determinant;</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="106"><highlight class="normal"></highlight></codeline>
<codeline lineno="107"><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/>(!nonsingular<sp/>||<sp/>!::mfem::Geometry::CheckPoint(::mfem::Geometry::SQUARE,<sp/>point,<sp/>1.0e-10))<sp/>{</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">continue</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="110"><highlight class="normal"></highlight></codeline>
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>transformation-&gt;Transform(point,<sp/>transformed);</highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>transformed<sp/>-=<sp/>target;</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>norm<sp/>=<sp/>transformed.Norml2();</highlight></codeline>
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(norm<sp/>&lt;=<sp/>tolerance<sp/>&amp;&amp;<sp/>norm<sp/>&lt;<sp/>best_residual)<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/>best<sp/>=<sp/>{.boundary_element<sp/>=<sp/>boundary,<sp/>.point<sp/>=<sp/>point};</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>best_residual<sp/>=<sp/>norm;</highlight></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="119"><highlight class="normal"></highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(best.boundary_element<sp/>&lt;<sp/>0)<sp/>{</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(DeformationFailure{.reason<sp/>=<sp/><ref refid="namespaceserif_1_1geometry_1_1deformation_1abff36c0dd3d8b9c916a2e928ab69a871a9a8a2ae86e6fce17b9be87ec37249370" kindref="member">DeformationFailureReason::unresolved_surface</ref>,<sp/>.message<sp/>=<sp/></highlight><highlight class="stringliteral">&quot;No<sp/>logical<sp/>quadrilateral<sp/>contains<sp/>a<sp/>radial<sp/>projection<sp/>onto<sp/>the<sp/>required<sp/>shell.&quot;</highlight><highlight class="normal">});</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="123"><highlight class="normal"></highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>best;</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="126"><highlight class="normal">}</highlight></codeline>
    </programlisting>
    <location file="src/lib/serif/backend/mfem/geometry/deformation/radial_locator.cpp"/>
  </compounddef>
</doxygen>