MeanField_SERiF/docs/xml/riesz__factors_8cpp.xml

<?xml version='1.0' encoding='UTF-8' standalone='no'?>
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    <compoundname>riesz_factors.cpp</compoundname>
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    <includes local="no">cmath</includes>
    <includes refid="solver_2normalization_2diagonal_8hpp" local="yes">serif/solver/normalization/diagonal.hpp</includes>
    <includes refid="errors_8hpp" local="yes">serif/utils/error/errors.hpp</includes>
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        <label>src/lib/serif/solver/normalization/riesz_factors.cpp</label>
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    <innernamespace refid="namespaceserif">serif</innernamespace>
    <innernamespace refid="namespaceserif_1_1solver">serif::solver</innernamespace>
    <innernamespace refid="namespaceserif_1_1solver_1_1normalization">serif::solver::normalization</innernamespace>
    <briefdescription>
    </briefdescription>
    <detaileddescription>
    </detaileddescription>
    <programlisting>
<codeline lineno="1"><highlight class="preprocessor">#include<sp/>&quot;<ref refid="point__rows_8hpp" kindref="compound">serif/solver/normalization/point_rows.hpp</ref>&quot;</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;cmath&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="solver_2normalization_2diagonal_8hpp" kindref="compound">serif/solver/normalization/diagonal.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="errors_8hpp" kindref="compound">serif/utils/error/errors.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1solver_1_1normalization" kindref="compound">serif::solver::normalization</ref></highlight></codeline>
<codeline lineno="9"><highlight class="normal">{</highlight></codeline>
<codeline lineno="10"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">namespace</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="12"><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_1solver_1_1preconditioner_1_1checks_1ae448d9c52432cf59dd1795980f1829bc" kindref="member">Kind</ref><sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1blocks_1aca74ff25d2168fcdec080e03ebc023ea" kindref="member">discretization::blocks::RepresentedValueKind</ref>;</highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight></codeline>
<codeline lineno="15"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;void,<sp/>std::string&gt;<sp/>validate_scale(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>physical_scale)</highlight></codeline>
<codeline lineno="16"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="17"><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="18"><highlight class="normal"></highlight></codeline>
<codeline lineno="19"><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/>(!std::isfinite(physical_scale)<sp/>||<sp/>physical_scale<sp/>&lt;=<sp/>0.0)</highlight></codeline>
<codeline lineno="20"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="21"><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(format_error_message&lt;SERiFErrorCode::NORMALIZATION_ERROR&gt;(</highlight><highlight class="stringliteral">&quot;A<sp/>physical<sp/>normalization<sp/>scale<sp/>must<sp/>be<sp/>finite<sp/>and<sp/>positive<sp/>(received<sp/>{}).<sp/>Choose<sp/>a<sp/>valid<sp/>reference<sp/>scale.&quot;</highlight><highlight class="normal">,<sp/>physical_scale));</highlight></codeline>
<codeline lineno="22"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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">return</highlight><highlight class="normal"><sp/>{};</highlight></codeline>
<codeline lineno="24"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="25"><highlight class="normal"></highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;void,<sp/>std::string&gt;<sp/>validate_riesz_parameters(Kind<sp/>kind,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>physical_scale)</highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</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="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>valid_scale<sp/>=<sp/>validate_scale(physical_scale);</highlight></codeline>
<codeline lineno="32"><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/>(!valid_scale)</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/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>valid_scale;</highlight></codeline>
<codeline lineno="35"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="36"><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/>(kind<sp/>!=<sp/>Kind::value<sp/>&amp;&amp;<sp/>kind<sp/>!=<sp/>Kind::residual)</highlight></codeline>
<codeline lineno="37"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(format_error_message&lt;SERiFErrorCode::INVALID_ARGUMENT&gt;(</highlight><highlight class="stringliteral">&quot;Riesz<sp/>factors<sp/>require<sp/>a<sp/>value<sp/>or<sp/>residual<sp/>coordinate<sp/>kind.<sp/>Supply<sp/>a<sp/>supported<sp/>RepresentedValueKind.&quot;</highlight><highlight class="normal">));</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>{};</highlight></codeline>
<codeline lineno="41"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="42"><highlight class="normal"></highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::expected&lt;double,<sp/>std::string&gt;<sp/>riesz_factor(</highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>dual,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>metric,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>physical_scale,<sp/>std::size_t<sp/>coordinate)</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</highlight></codeline>
<codeline lineno="47"><highlight class="normal"></highlight></codeline>
<codeline lineno="48"><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/>(!std::isfinite(metric)<sp/>||<sp/>metric<sp/>&lt;=<sp/>0.0)</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/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(format_error_message&lt;SERiFErrorCode::NORMALIZATION_ERROR&gt;(</highlight><highlight class="stringliteral">&quot;Normalization<sp/>metric<sp/>entry<sp/>{}<sp/>must<sp/>be<sp/>finite<sp/>and<sp/>positive<sp/>(received<sp/>{}).<sp/>Use<sp/>a<sp/>valid<sp/>reference<sp/>Gram<sp/>diagonal.&quot;</highlight><highlight class="normal">,<sp/>coordinate,<sp/>metric));</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="52"><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/>root_metric<sp/>=<sp/>std::sqrt(metric);</highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Inverting<sp/>the<sp/>root<sp/>first<sp/>avoids<sp/>overflow<sp/>of<sp/>scale<sp/>*<sp/>root_metric<sp/>when<sp/>its<sp/>reciprocal<sp/>is<sp/>representable.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="54"><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/>factor<sp/>=<sp/>dual<sp/>?<sp/>(1.0<sp/>/<sp/>root_metric)<sp/>/<sp/>physical_scale<sp/>:<sp/>root_metric<sp/>/<sp/>physical_scale;</highlight></codeline>
<codeline lineno="55"><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/>(!std::isfinite(factor)<sp/>||<sp/>factor<sp/>&lt;=<sp/>0.0)</highlight></codeline>
<codeline lineno="56"><highlight class="normal"><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/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(format_error_message&lt;SERiFErrorCode::NORMALIZATION_ERROR&gt;(</highlight><highlight class="stringliteral">&quot;Normalization<sp/>factor<sp/>{}<sp/>is<sp/>not<sp/>representable<sp/>as<sp/>a<sp/>finite<sp/>positive<sp/>double<sp/>for<sp/>metric<sp/>{}<sp/>and<sp/>scale<sp/>{}.<sp/>Change<sp/>the<sp/>reference<sp/>units.&quot;</highlight><highlight class="normal">,<sp/>coordinate,<sp/>metric,<sp/>physical_scale));</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/>factor;</highlight></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="62"><highlight class="normal"></highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;double,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1solver_1_1normalization_1a8e6459e314714cea6cad28808cd4b598" kindref="member">make_riesz_factor</ref>(Kind<sp/>kind,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>metric,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>physical_scale)</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/>{</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/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>valid<sp/>=<sp/>validate_riesz_parameters(kind,<sp/>physical_scale);</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!valid)</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(valid.error());</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>riesz_factor(kind<sp/>==<sp/>Kind::residual,<sp/>metric,<sp/>physical_scale,<sp/>0);</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="72"><highlight class="normal"></highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;std::vector&lt;double&gt;,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1solver_1_1normalization_1ac6e625b3ce743074b92dd17eaef58b9a" kindref="member">make_riesz_factors</ref>(Kind<sp/>kind,<sp/>std::span&lt;const<sp/>double&gt;<sp/>metric,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>physical_scale)</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/>{</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/>valid<sp/>=<sp/>validate_riesz_parameters(kind,<sp/>physical_scale);</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!valid)</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/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(valid.error());</highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="80"><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">bool</highlight><highlight class="normal"><sp/>dual<sp/>=<sp/>kind<sp/>==<sp/>Kind::residual;</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>factors(metric.size());</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>index<sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>&lt;<sp/>metric.size();<sp/>++<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>factor<sp/>=<sp/>riesz_factor(dual,<sp/>metric[index],<sp/>physical_scale,<sp/>index);</highlight></codeline>
<codeline lineno="85"><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/>(!factor)</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="87"><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(factor.error());</highlight></codeline>
<codeline lineno="88"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>factors[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>]<sp/>=<sp/>*factor;</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><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/>factors;</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/>std::expected&lt;std::vector&lt;double&gt;,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1solver_1_1normalization_1a2b4fefc2ef0c9b127e218f1dbcec5996" kindref="member">make_point_replaced_residual_factors</ref>(std::span&lt;const<sp/>double&gt;<sp/>volume_metric,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>volume_scale,<sp/>std::span&lt;const<sp/>int&gt;<sp/>selected_rows,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>point_scale)</highlight></codeline>
<codeline lineno="95"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="96"><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="97"><highlight class="normal"></highlight></codeline>
<codeline lineno="98"><highlight class="normal"><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="keywordtype">double</highlight><highlight class="normal"><sp/>scale<sp/>:<sp/>{volume_scale,<sp/>point_scale})</highlight></codeline>
<codeline lineno="99"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>valid<sp/>=<sp/>validate_scale(scale);</highlight></codeline>
<codeline lineno="101"><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/>(!valid)</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><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/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(valid.error());</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><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/>}</highlight></codeline>
<codeline lineno="106"><highlight class="normal"></highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;bool&gt;<sp/>replaced(volume_metric.size(),<sp/></highlight><highlight class="keyword">false</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><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="keywordtype">int</highlight><highlight class="normal"><sp/>row<sp/>:<sp/>selected_rows)</highlight></codeline>
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="110"><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<sp/>&lt;<sp/>0<sp/>||<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(row)<sp/>&gt;=<sp/>volume_metric.size())</highlight></codeline>
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(format_error_message&lt;SERiFErrorCode::OUT_OF_RANGE_ERROR&gt;(</highlight><highlight class="stringliteral">&quot;Replacement<sp/>normalization<sp/>row<sp/>{}<sp/>lies<sp/>outside<sp/>its<sp/>residual<sp/>coordinate<sp/>of<sp/>size<sp/>{}.<sp/>Use<sp/>the<sp/>physical<sp/>equation&apos;s<sp/>reduced<sp/>row<sp/>selection.&quot;</highlight><highlight class="normal">,<sp/>row,<sp/>volume_metric.size()));</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">if</highlight><highlight class="normal"><sp/>(replaced[row])</highlight></codeline>
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(format_error_message&lt;SERiFErrorCode::INVALID_ARGUMENT&gt;(</highlight><highlight class="stringliteral">&quot;Residual<sp/>row<sp/>{}<sp/>was<sp/>selected<sp/>more<sp/>than<sp/>once<sp/>for<sp/>point<sp/>normalization.<sp/>Supply<sp/>disjoint<sp/>replacement<sp/>rows.&quot;</highlight><highlight class="normal">,<sp/>row));</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/><sp/><sp/><sp/><sp/>replaced[row]<sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="120"><highlight class="normal"></highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>factors(volume_metric.size());</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>row<sp/>=<sp/>0;<sp/>row<sp/>&lt;<sp/>factors.size();<sp/>++row)</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>metric<sp/>=<sp/>replaced[row]<sp/>?<sp/>1.0<sp/>:<sp/>volume_metric[row];</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>scale<sp/>=<sp/>replaced[row]<sp/>?<sp/>point_scale<sp/>:<sp/>volume_scale;</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>factor<sp/>=<sp/>riesz_factor(</highlight><highlight class="keyword">true</highlight><highlight class="normal">,<sp/>metric,<sp/>scale,<sp/>row);</highlight></codeline>
<codeline lineno="127"><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/>(!factor)</highlight></codeline>
<codeline lineno="128"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="129"><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(factor.error());</highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>factors[row]<sp/>=<sp/>*factor;</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/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>factors;</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="135"><highlight class="normal">}</highlight></codeline>
    </programlisting>
    <location file="src/lib/serif/solver/normalization/riesz_factors.cpp"/>
  </compounddef>
</doxygen>