MeanField_SERiF/docs/xml/utils_2serialize_2top_8cpp.xml

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        <name>SERIF_TOP_METADATA</name>
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<codeline lineno="1"><highlight class="preprocessor">#include<sp/>&quot;<ref refid="utils_2serialize_2top_8hpp" kindref="compound">serif/utils/serialize/top.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;algorithm&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;atomic&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cerrno&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;chrono&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cmath&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cstdio&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="9"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;cstring&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;fstream&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;iomanip&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;limits&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;locale&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="14"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;numbers&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;stdexcept&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="16"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;string&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="17"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;utility&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="18"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;vector&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="19"><highlight class="normal"></highlight><highlight class="preprocessor">#if<sp/>defined(__linux__)</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="20"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;fcntl.h&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="21"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;sys/syscall.h&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="22"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;unistd.h&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="23"><highlight class="normal"></highlight><highlight class="preprocessor">#endif</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="24"><highlight class="normal"></highlight></codeline>
<codeline lineno="25"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1utils_1_1serialize" kindref="compound">serif::utils::serialize</ref><sp/>{</highlight></codeline>
<codeline lineno="26"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>pi<sp/>=<sp/>std::numbers::pi;</highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Matrix<sp/>=<sp/>std::vector&lt;std::vector&lt;double&gt;&gt;;</highlight></codeline>
<codeline lineno="29"><highlight class="normal"></highlight></codeline>
<codeline lineno="30"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">Failure<sp/>{<sp/>Error<sp/>error;<sp/>};</highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/>[[noreturn]]<sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/>fail(std::string<sp/>path,<sp/>std::string<sp/>message)<sp/>{</highlight></codeline>
<codeline lineno="32"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">throw</highlight><highlight class="normal"><sp/>Failure{<ref refid="structserif_1_1utils_1_1serialize_1_1_error" kindref="compound">Error</ref>{std::move(path),<sp/>std::move(message)}};</highlight></codeline>
<codeline lineno="33"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>checked(<ref refid="namespaceserif_1_1utils_1_1serialize_1ace9e0af29889a767ef1c95a09a4b7265" kindref="member">Result&lt;double&gt;</ref><sp/>value,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::string&amp;<sp/>path)<sp/>{</highlight></codeline>
<codeline lineno="35"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!value)<sp/>{</highlight></codeline>
<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(path<sp/>+<sp/>(<ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>.error().path.empty()<sp/>?<sp/></highlight><highlight class="stringliteral">&quot;&quot;</highlight><highlight class="normal"><sp/>:<sp/></highlight><highlight class="stringliteral">&quot;/&quot;</highlight><highlight class="normal"><sp/>+<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>.error().path),<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>.error().message);</highlight></codeline>
<codeline lineno="37"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!std::isfinite(*value))<sp/>{<sp/>fail(path,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>source<sp/>returned<sp/>a<sp/>nonfinite<sp/>value.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>*<ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>;</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="41"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>positive(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>value)<sp/>{<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::isfinite(value)<sp/>&amp;&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>&gt;<sp/>0.;<sp/>}</highlight></codeline>
<codeline lineno="42"><highlight class="normal"></highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>legendre(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>mu,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>degree)<sp/>{</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>result(degree<sp/>+<sp/>1,<sp/>1.);</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(degree)<sp/>{<sp/>result[1]<sp/>=<sp/>mu;<sp/>}</highlight></codeline>
<codeline lineno="47"><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/>l<sp/>=<sp/>2;<sp/>l<sp/>&lt;=<sp/>degree;<sp/>++l)<sp/>{</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result[l]<sp/>=<sp/>((2*l<sp/>-<sp/>1)*mu*result[l-1]<sp/>-<sp/>(l-1)*result[l-2])/l;</highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/>std::pair&lt;std::vector&lt;double&gt;,<sp/>std::vector&lt;double&gt;&gt;<sp/>gauss(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>count)<sp/>{</highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>nodes(count),<sp/>weights(count);</highlight></codeline>
<codeline lineno="54"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/>(count+1)/2;<sp/>++i)<sp/>{</highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>x<sp/>=<sp/>std::cos(pi*(i+.75)/(count+.5));</highlight></codeline>
<codeline lineno="56"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>derivative<sp/>=<sp/>0.;</highlight></codeline>
<codeline lineno="57"><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/>step<sp/>=<sp/>0;<sp/>step<sp/>&lt;<sp/>100;<sp/>++step)<sp/>{</highlight></codeline>
<codeline lineno="58"><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/>p<sp/>=<sp/>legendre(x,<sp/>count);</highlight></codeline>
<codeline lineno="59"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>derivative<sp/>=<sp/>count*(x*p[count]-p[count-1])/(x*x-1.);</highlight></codeline>
<codeline lineno="60"><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/>next<sp/>=<sp/>x-p[count]/derivative;</highlight></codeline>
<codeline lineno="61"><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(next-x)<sp/>&lt;=<sp/>4*std::numeric_limits&lt;double&gt;::epsilon())<sp/>{</highlight></codeline>
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>x<sp/>=<sp/>next;</highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">final</highlight><highlight class="normal"><sp/>=<sp/>legendre(x,<sp/>count);</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>derivative<sp/>=<sp/>count*(x*</highlight><highlight class="keyword">final</highlight><highlight class="normal">[count]-</highlight><highlight class="keyword">final</highlight><highlight class="normal">[count-1])/(x*x-1.);</highlight></codeline>
<codeline lineno="65"><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="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>x<sp/>=<sp/>next;</highlight></codeline>
<codeline lineno="68"><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/>(step<sp/>==<sp/>99)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;options/angular_points&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Gauss-Legendre<sp/>nodes<sp/>did<sp/>not<sp/>converge.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>nodes[i]<sp/>=<sp/>-x;<sp/>nodes[count-1-i]<sp/>=<sp/>x;</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>weights[i]<sp/>=<sp/>weights[count-1-i]<sp/>=<sp/>2./((1-x*x)*derivative*derivative);</highlight></codeline>
<codeline lineno="72"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>{std::move(nodes),<sp/>std::move(weights)};</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>reconstruct(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/>coefficients,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>mu)<sp/>{</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>p<sp/>=<sp/>legendre(mu,<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(coefficients.size())-1);</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><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/>sum<sp/>=<sp/>0.;</highlight></codeline>
<codeline lineno="78"><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/>l<sp/>=<sp/>0;<sp/>l<sp/>&lt;<sp/>coefficients.size();<sp/>l<sp/>+=<sp/>2)<sp/>{</highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>sum<sp/>+=<sp/>coefficients[l]*std::sqrt((2.*l+1)/(4*pi))*p[l];</highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(sum);</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>project(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/>values,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/>mu,</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/>weights,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>degree)<sp/>{</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;long<sp/>double&gt;<sp/>sums(degree+1,<sp/>0.);</highlight></codeline>
<codeline lineno="86"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;<sp/>mu.size();<sp/>++j)<sp/>{</highlight></codeline>
<codeline lineno="87"><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/>p<sp/>=<sp/>legendre(mu[j],<sp/>degree);</highlight></codeline>
<codeline lineno="88"><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/>l<sp/>=<sp/>0;<sp/>l<sp/>&lt;=<sp/>degree;<sp/>l<sp/>+=<sp/>2)<sp/>{<sp/>sums[l]<sp/>+=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[j]*weights[j]*p[l];<sp/>}</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>result(degree+1,<sp/>0.);</highlight></codeline>
<codeline lineno="91"><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/>l<sp/>=<sp/>0;<sp/>l<sp/>&lt;=<sp/>degree;<sp/>l<sp/>+=<sp/>2)<sp/>{</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result[l]<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(sums[l])*std::sqrt(pi*(2*l+1));</highlight></codeline>
<codeline lineno="93"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="95"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/>Matrix<sp/>derivative_matrix(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/>zeta)<sp/>{</highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>count<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(zeta.size());</highlight></codeline>
<codeline lineno="98"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Matrix<sp/>result(count,<sp/>std::vector&lt;double&gt;(count));</highlight></codeline>
<codeline lineno="99"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/>count;<sp/>++i)<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="keywordtype">double</highlight><highlight class="normal"><sp/>wi<sp/>=<sp/>(i%2<sp/>?<sp/>-1.<sp/>:<sp/>1.)*(i==0<sp/>||<sp/>i==count-1<sp/>?<sp/>.5<sp/>:<sp/>1.);</highlight></codeline>
<codeline lineno="101"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;<sp/>count;<sp/>++j)<sp/>{</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><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(i<sp/>==<sp/>j)<sp/>{<sp/></highlight><highlight class="keywordflow">continue</highlight><highlight class="normal">;<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="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>wj<sp/>=<sp/>(j%2<sp/>?<sp/>-1.<sp/>:<sp/>1.)*(j==0<sp/>||<sp/>j==count-1<sp/>?<sp/>.5<sp/>:<sp/>1.);</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result[i][j]<sp/>=<sp/>(wj/wi)/(zeta[i]-zeta[j]);</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"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/>Matrix<sp/>differentiate(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Matrix&amp;<sp/>values,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Matrix&amp;<sp/>derivative)<sp/>{</highlight></codeline>
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Matrix<sp/>result(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.size(),<sp/>std::vector&lt;double&gt;(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.front().size()));</highlight></codeline>
<codeline lineno="111"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.size();<sp/>++i)<sp/>{</highlight></codeline>
<codeline lineno="112"><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/>(std::size_t<sp/>l<sp/>=<sp/>0;<sp/>l<sp/>&lt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[i].size();<sp/>l<sp/>+=<sp/>2)<sp/>{</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>sum<sp/>=<sp/>0.;</highlight></codeline>
<codeline lineno="114"><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/>(std::size_t<sp/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.size();<sp/>++j)<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/><sp/><sp/><sp/><sp/>sum<sp/>+=<sp/>derivative[i][j]*(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[j][l]-<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[i][l]);</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></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result[i][l]<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(sum);</highlight></codeline>
<codeline lineno="118"><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::isfinite(result[i][l]))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;enthalpy_et_der&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;A<sp/>radial<sp/>spectral<sp/>derivative<sp/>is<sp/>nonfinite.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">TemporaryDirectory<sp/>{</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::filesystem::path<sp/>path;</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>~TemporaryDirectory()<sp/>{<sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!path.empty())<sp/>{<sp/>std::error_code<sp/>error;<sp/>std::filesystem::remove_all(path,<sp/>error);<sp/>}<sp/>}</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="127"><highlight class="normal"><sp/><sp/><sp/><sp/>std::ofstream<sp/>open_output(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::filesystem::path&amp;<sp/>path)<sp/>{</highlight></codeline>
<codeline lineno="128"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::ofstream<sp/>output(path);</highlight></codeline>
<codeline lineno="129"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output.imbue(std::locale::classic());</highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>std::scientific<sp/>&lt;&lt;<sp/>std::setprecision(std::numeric_limits&lt;double&gt;::max_digits10);</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!output)<sp/>{<sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Could<sp/>not<sp/>create<sp/>TOP<sp/>output<sp/>file.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>output;</highlight></codeline>
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/>close_output(std::ofstream&amp;<sp/>output,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::filesystem::path&amp;<sp/>path)<sp/>{</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output.close();</highlight></codeline>
<codeline lineno="136"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!output)<sp/>{<sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Could<sp/>not<sp/>finish<sp/>writing<sp/>TOP<sp/>output<sp/>file.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="139"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/>publish(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::filesystem::path&amp;<sp/>temporary,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::filesystem::path&amp;<sp/>path)<sp/>{</highlight></codeline>
<codeline lineno="140"><highlight class="normal"></highlight><highlight class="preprocessor">#if<sp/>defined(__APPLE__)</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="141"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(::renamex_np(temporary.c_str(),<sp/>path.c_str(),<sp/>RENAME_EXCL)<sp/>==<sp/>0)<sp/>{<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal">;<sp/>}</highlight></codeline>
<codeline lineno="142"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Could<sp/>not<sp/>publish<sp/>TOP<sp/>directory<sp/>without<sp/>replacement:<sp/>&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::string{std::strerror(errno)});</highlight></codeline>
<codeline lineno="143"><highlight class="normal"></highlight><highlight class="preprocessor">#elif<sp/>defined(__linux__)<sp/>&amp;&amp;<sp/>defined(SYS_renameat2)</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="144"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(::syscall(SYS_renameat2,<sp/>AT_FDCWD,<sp/>temporary.c_str(),<sp/>AT_FDCWD,<sp/>path.c_str(),<sp/>1U)<sp/>==<sp/>0)<sp/>{<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal">;<sp/>}</highlight></codeline>
<codeline lineno="145"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Could<sp/>not<sp/>publish<sp/>TOP<sp/>directory<sp/>without<sp/>replacement:<sp/>&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::string{std::strerror(errno)});</highlight></codeline>
<codeline lineno="146"><highlight class="normal"></highlight><highlight class="preprocessor">#else</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Atomic<sp/>directory<sp/>publication<sp/>without<sp/>replacement<sp/>is<sp/>unavailable<sp/>on<sp/>this<sp/>platform.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="148"><highlight class="normal"></highlight><highlight class="preprocessor">#endif</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="149"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="150"><highlight class="normal">}</highlight></codeline>
<codeline lineno="151"><highlight class="normal"></highlight></codeline>
<codeline lineno="152"><highlight class="normal"><ref refid="namespaceserif_1_1utils_1_1serialize_1ace9e0af29889a767ef1c95a09a4b7265" kindref="member">Result&lt;TopExportReport&gt;</ref><sp/><ref refid="namespaceserif_1_1utils_1_1serialize_1ac247352aee3417238eda1bf573f1b197" kindref="member">export_top</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::filesystem::path&amp;<sp/>requested_path,</highlight></codeline>
<codeline lineno="153"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1serialize_1_1_top_polytrope_source" kindref="compound">TopPolytropeSource</ref>&amp;<sp/>source,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1serialize_1_1_top_export_options" kindref="compound">TopExportOptions</ref>&amp;<sp/>options)<sp/>{</highlight></codeline>
<codeline lineno="154"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">try</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="155"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(requested_path.empty()<sp/>||<sp/>requested_path.filename().empty()<sp/>||<sp/>requested_path.filename()==</highlight><highlight class="stringliteral">&quot;.&quot;</highlight><highlight class="normal"><sp/>||<sp/>requested_path.filename()==</highlight><highlight class="stringliteral">&quot;..&quot;</highlight><highlight class="normal">)<sp/>{</highlight></codeline>
<codeline lineno="156"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(requested_path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Specify<sp/>a<sp/>new<sp/>model<sp/>directory,<sp/>not<sp/>an<sp/>empty<sp/>path<sp/>or<sp/>parent<sp/>directory.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="157"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="158"><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/>path<sp/>=<sp/>std::filesystem::absolute(requested_path).lexically_normal();</highlight></codeline>
<codeline lineno="159"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(std::filesystem::symlink_status(path).type()<sp/>!=<sp/>std::filesystem::file_type::not_found)<sp/>{</highlight></codeline>
<codeline lineno="160"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;TOP<sp/>export<sp/>refuses<sp/>to<sp/>replace<sp/>an<sp/>existing<sp/>destination.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="161"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="162"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!std::filesystem::is_directory(path.parent_path()))<sp/>{<sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>output<sp/>parent<sp/>directory<sp/>does<sp/>not<sp/>exist.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="163"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(options.radial_points<sp/>&lt;<sp/>4<sp/>||<sp/>options.radial_points<sp/>&gt;<sp/>4096)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;options/radial_points&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Use<sp/>between<sp/>4<sp/>and<sp/>4096<sp/>radial<sp/>points.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="164"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(options.maximum_degree<sp/>&lt;<sp/>0<sp/>||<sp/>options.maximum_degree<sp/>&gt;<sp/>512<sp/>||<sp/>options.maximum_degree%2)<sp/>{</highlight></codeline>
<codeline lineno="165"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;options/maximum_degree&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>maximum<sp/>harmonic<sp/>degree<sp/>must<sp/>be<sp/>even<sp/>and<sp/>between<sp/>0<sp/>and<sp/>512.&quot;</highlight><highlight class="normal">);</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/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(options.angular_points<sp/>&lt;<sp/>std::max(2,<sp/>options.maximum_degree+1)<sp/>||<sp/>options.angular_points<sp/>&gt;<sp/>4096)<sp/>{</highlight></codeline>
<codeline lineno="168"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;options/angular_points&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Angular<sp/>quadrature<sp/>requires<sp/>at<sp/>least<sp/>maximum_degree+1<sp/>points<sp/>and<sp/>between<sp/>2<sp/>and<sp/>4096<sp/>points.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="169"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="170"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(options.azimuthal_points<sp/>&lt;<sp/>4<sp/>||<sp/>options.azimuthal_points<sp/>&gt;<sp/>1024)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;options/azimuthal_points&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Use<sp/>between<sp/>4<sp/>and<sp/>1024<sp/>azimuthal<sp/>samples.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="171"><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="keyword">auto</highlight><highlight class="normal">&amp;<sp/>[name,<sp/>value]<sp/>:<sp/>{std::pair{</highlight><highlight class="stringliteral">&quot;relative_symmetry_tolerance&quot;</highlight><highlight class="normal">,<sp/>options.relative_symmetry_tolerance},</highlight></codeline>
<codeline lineno="172"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight><highlight class="stringliteral">&quot;relative_surface_tolerance&quot;</highlight><highlight class="normal">,<sp/>options.relative_surface_tolerance},</highlight></codeline>
<codeline lineno="173"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight><highlight class="stringliteral">&quot;relative_surface_projection_tolerance&quot;</highlight><highlight class="normal">,<sp/>options.relative_surface_projection_tolerance}})<sp/>{</highlight></codeline>
<codeline lineno="174"><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(value)<sp/>||<sp/>value<sp/>&lt;<sp/>0.)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;options/&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::string{name},<sp/></highlight><highlight class="stringliteral">&quot;Tolerance<sp/>must<sp/>be<sp/>finite<sp/>and<sp/>nonnegative.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="175"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="176"><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="keyword">auto</highlight><highlight class="normal">&amp;<sp/>[name,<sp/>value]<sp/>:<sp/>{std::pair{</highlight><highlight class="stringliteral">&quot;polytropic_index&quot;</highlight><highlight class="normal">,<sp/>source.polytropic_index},</highlight></codeline>
<codeline lineno="177"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight><highlight class="stringliteral">&quot;gravitational_constant&quot;</highlight><highlight class="normal">,<sp/>source.gravitational_constant},<sp/>{</highlight><highlight class="stringliteral">&quot;mass&quot;</highlight><highlight class="normal">,<sp/>source.mass},</highlight></codeline>
<codeline lineno="178"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight><highlight class="stringliteral">&quot;central_density&quot;</highlight><highlight class="normal">,<sp/>source.central_density},<sp/>{</highlight><highlight class="stringliteral">&quot;central_enthalpy&quot;</highlight><highlight class="normal">,<sp/>source.central_enthalpy}})<sp/>{</highlight></codeline>
<codeline lineno="179"><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/>(!positive(value))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source/&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::string{name},<sp/></highlight><highlight class="stringliteral">&quot;This<sp/>physical<sp/>scale<sp/>must<sp/>be<sp/>finite<sp/>and<sp/>positive.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="180"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="181"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(source.polytropic_index<sp/>&lt;<sp/>1.)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source/polytropic_index&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;TOP&apos;s<sp/>vacuum<sp/>polytrope<sp/>equations<sp/>require<sp/>n&gt;=1<sp/>in<sp/>this<sp/>exporter.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="182"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!std::isfinite(source.angular_velocity))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source/angular_velocity&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Angular<sp/>velocity<sp/>must<sp/>be<sp/>finite.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="183"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!source.surface_radius<sp/>||<sp/>!source.enthalpy)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Both<sp/>surface-radius<sp/>and<sp/>enthalpy<sp/>sampling<sp/>callbacks<sp/>are<sp/>required.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="184"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1utils_1_1serialize_1_1_top_export_report" kindref="compound">TopExportReport</ref><sp/>report{.directory=path,<sp/>.radial_points=options.radial_points,<sp/>.maximum_degree=options.maximum_degree,</highlight></codeline>
<codeline lineno="185"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.angular_points=options.angular_points,<sp/>.azimuthal_points=options.azimuthal_points};</highlight></codeline>
<codeline lineno="186"><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/>[mu,<sp/>weights]<sp/>=<sp/>gauss(options.angular_points);</highlight></codeline>
<codeline lineno="187"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>radii<sp/>=<sp/>[&amp;](</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>cosine)<sp/>{</highlight></codeline>
<codeline lineno="188"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="189"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.reserve(2*options.azimuthal_points);</highlight></codeline>
<codeline lineno="190"><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">double</highlight><highlight class="normal"><sp/>sign<sp/>:<sp/>{1.,<sp/>-1.})<sp/>{</highlight></codeline>
<codeline lineno="191"><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/>k<sp/>=<sp/>0;<sp/>k<sp/>&lt;<sp/>options.azimuthal_points;<sp/>++k)<sp/>{</highlight></codeline>
<codeline lineno="192"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>phi<sp/>=<sp/>2*pi*k/options.azimuthal_points;</highlight></codeline>
<codeline lineno="193"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>=<sp/>checked(source.surface_radius(sign*cosine,<sp/>phi),<sp/></highlight><highlight class="stringliteral">&quot;source/surface_radius&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="194"><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/>(value<sp/>&lt;=<sp/>0.)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source/surface_radius&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>surface<sp/>must<sp/>be<sp/>star-shaped<sp/>with<sp/>positive<sp/>radius<sp/>in<sp/>every<sp/>sampled<sp/>direction.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="195"><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_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.push_back(value);</highlight></codeline>
<codeline lineno="196"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="197"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="198"><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/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="199"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="200"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>mean<sp/>=<sp/>[](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>)<sp/>{</highlight></codeline>
<codeline lineno="201"><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/>sum<sp/>=<sp/>0.;<sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>value<sp/>:<sp/>values)<sp/>{<sp/>sum<sp/>+=<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>;<sp/>}</highlight></codeline>
<codeline lineno="202"><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><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(sum/<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.size());</highlight></codeline>
<codeline lineno="203"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="204"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.source_equatorial_radius<sp/>=<sp/>mean(radii(0.));</highlight></codeline>
<codeline lineno="205"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.source_polar_radius<sp/>=<sp/>mean(radii(1.));</highlight></codeline>
<codeline lineno="206"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>surface_samples<sp/>=<sp/>[&amp;](</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>cosine)<sp/>{</highlight></codeline>
<codeline lineno="207"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref><sp/>=<sp/>radii(cosine);</highlight></codeline>
<codeline lineno="208"><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/>average<sp/>=<sp/>mean(values);</highlight></codeline>
<codeline lineno="209"><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">double</highlight><highlight class="normal"><sp/>value<sp/>:<sp/>values)<sp/>{</highlight></codeline>
<codeline lineno="210"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.maximum_relative_surface_symmetry_error<sp/>=<sp/>std::max(report.maximum_relative_surface_symmetry_error,</highlight></codeline>
<codeline lineno="211"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::abs(value-average)/report.source_equatorial_radius);</highlight></codeline>
<codeline lineno="212"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="213"><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/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="214"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="215"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Matrix<sp/>radius_values;</highlight></codeline>
<codeline lineno="216"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>surface_means;</highlight></codeline>
<codeline lineno="217"><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">double</highlight><highlight class="normal"><sp/>cosine<sp/>:<sp/>mu)<sp/>{</highlight></codeline>
<codeline lineno="218"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>radius_values.push_back(surface_samples(cosine));</highlight></codeline>
<codeline lineno="219"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>surface_means.push_back(mean(radius_values.back()));</highlight></codeline>
<codeline lineno="220"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="221"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>surface_coefficients<sp/>=<sp/>project(surface_means,<sp/>mu,<sp/>weights,<sp/>options.maximum_degree);</highlight></codeline>
<codeline lineno="222"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.equatorial_radius<sp/>=<sp/>reconstruct(surface_coefficients,<sp/>0.);</highlight></codeline>
<codeline lineno="223"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.polar_radius<sp/>=<sp/>reconstruct(surface_coefficients,<sp/>1.);</highlight></codeline>
<codeline lineno="224"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!positive(report.equatorial_radius)<sp/>||<sp/>!positive(report.polar_radius))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;domains_boundaries&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Projected<sp/>equatorial<sp/>and<sp/>polar<sp/>radii<sp/>must<sp/>be<sp/>positive.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="225"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.minimum_mapping_derivative<sp/>=<sp/>std::numeric_limits&lt;double&gt;::infinity();</highlight></codeline>
<codeline lineno="226"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>mapping_check<sp/>=<sp/>[&amp;](</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>radius)<sp/>{</highlight></codeline>
<codeline lineno="227"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>A&apos;(zeta)<sp/>ranges<sp/>from<sp/>zero<sp/>to<sp/>15/8,<sp/>so<sp/>this<sp/>is<sp/>the<sp/>exact<sp/>radial<sp/>minimum.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="228"><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/>minimum<sp/>=<sp/>std::min(report.polar_radius,</highlight></codeline>
<codeline lineno="229"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.polar_radius<sp/>+<sp/>1.875*(radius-report.polar_radius))/report.equatorial_radius;</highlight></codeline>
<codeline lineno="230"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.minimum_mapping_derivative<sp/>=<sp/>std::min(report.minimum_mapping_derivative,<sp/>minimum);</highlight></codeline>
<codeline lineno="231"><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/>(!positive(minimum))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;domains_boundaries&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>source<sp/>or<sp/>projected<sp/>surface<sp/>gives<sp/>a<sp/>nonpositive<sp/>TOP<sp/>mapping<sp/>derivative.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="232"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="233"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;=<sp/>2*options.angular_points;<sp/>++j)<sp/>{</highlight></codeline>
<codeline lineno="234"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>cosine<sp/>=<sp/>std::cos(pi*j/(2*options.angular_points));</highlight></codeline>
<codeline lineno="235"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref><sp/>=<sp/>surface_samples(cosine);</highlight></codeline>
<codeline lineno="236"><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/>projected<sp/>=<sp/>reconstruct(surface_coefficients,<sp/>cosine);</highlight></codeline>
<codeline lineno="237"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!positive(projected))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;domains_boundaries&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Projected<sp/>surface<sp/>radius<sp/>must<sp/>stay<sp/>positive.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="238"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>mapping_check(projected);</highlight></codeline>
<codeline lineno="239"><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">double</highlight><highlight class="normal"><sp/>value<sp/>:<sp/>values)<sp/>{<sp/>mapping_check(value);<sp/>}</highlight></codeline>
<codeline lineno="240"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.maximum_relative_surface_projection_error<sp/>=<sp/>std::max(report.maximum_relative_surface_projection_error,</highlight></codeline>
<codeline lineno="241"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::abs(projected-mean(values))/report.source_equatorial_radius);</highlight></codeline>
<codeline lineno="242"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="243"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(report.maximum_relative_surface_symmetry_error<sp/>&gt;<sp/>options.relative_symmetry_tolerance)<sp/>{</highlight></codeline>
<codeline lineno="244"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;source/surface_radius&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Surface<sp/>axisymmetry<sp/>or<sp/>equatorial-symmetry<sp/>defect<sp/>exceeds<sp/>relative_symmetry_tolerance.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="245"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="246"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(report.maximum_relative_surface_projection_error<sp/>&gt;<sp/>options.relative_surface_projection_tolerance)<sp/>{</highlight></codeline>
<codeline lineno="247"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;domains_boundaries&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Surface<sp/>harmonic<sp/>truncation<sp/>exceeds<sp/>relative_surface_projection_tolerance;<sp/>increase<sp/>maximum_degree<sp/>or<sp/>angular_points.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="248"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="249"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.flattening<sp/>=<sp/>1.-report.polar_radius/report.equatorial_radius;</highlight></codeline>
<codeline lineno="250"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.angular_frequency_unit<sp/>=<sp/>std::sqrt(4*pi*source.gravitational_constant*source.central_density);</highlight></codeline>
<codeline lineno="251"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.lambda<sp/>=<sp/>std::pow(report.angular_frequency_unit*report.equatorial_radius,<sp/>2)/source.central_enthalpy;</highlight></codeline>
<codeline lineno="252"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.alpha<sp/>=<sp/>4*pi*source.central_density*std::pow(report.equatorial_radius,<sp/>3)/(3*source.mass);</highlight></codeline>
<codeline lineno="253"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.rotation<sp/>=<sp/>source.angular_velocity*report.equatorial_radius/std::sqrt(source.central_enthalpy);</highlight></codeline>
<codeline lineno="254"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.rotation_over_kepler<sp/>=<sp/>source.angular_velocity*std::sqrt(std::pow(report.equatorial_radius,<sp/>3)/(source.gravitational_constant*source.mass));</highlight></codeline>
<codeline lineno="255"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!positive(report.angular_frequency_unit)<sp/>||<sp/>!positive(report.lambda)<sp/>||<sp/>!positive(report.alpha)</highlight></codeline>
<codeline lineno="256"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>||<sp/>!std::isfinite(report.rotation)<sp/>||<sp/>!std::isfinite(report.rotation_over_kepler))<sp/>{</highlight></codeline>
<codeline lineno="257"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;lambda_eps&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Physical<sp/>normalization<sp/>overflowed<sp/>or<sp/>underflowed.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="258"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="259"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/>zeta(options.radial_points);</highlight></codeline>
<codeline lineno="260"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/>options.radial_points;<sp/>++i)<sp/>{<sp/>zeta[i]<sp/>=<sp/>.5*(1-std::cos(pi*i/(options.radial_points-1)));<sp/>}</highlight></codeline>
<codeline lineno="261"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>zeta.front()<sp/>=<sp/>0.;<sp/>zeta.back()<sp/>=<sp/>1.;</highlight></codeline>
<codeline lineno="262"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.minimum_enthalpy<sp/>=<sp/>std::numeric_limits&lt;double&gt;::infinity();</highlight></codeline>
<codeline lineno="263"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>enthalpy_samples<sp/>=<sp/>[&amp;](</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>i,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>cosine,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::vector&lt;double&gt;&amp;<sp/>surfaces)<sp/>{</highlight></codeline>
<codeline lineno="264"><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/>z<sp/>=<sp/>zeta[i],<sp/>a<sp/>=<sp/>(5*z*z*z-3*std::pow(z,<sp/>5))/2;</highlight></codeline>
<codeline lineno="265"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="266"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.reserve(surfaces.size());</highlight></codeline>
<codeline lineno="267"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="268"><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">double</highlight><highlight class="normal"><sp/>sign<sp/>:<sp/>{1.,<sp/>-1.})<sp/>{</highlight></codeline>
<codeline lineno="269"><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/>k<sp/>=<sp/>0;<sp/>k<sp/>&lt;<sp/>options.azimuthal_points;<sp/>++k)<sp/>{</highlight></codeline>
<codeline lineno="270"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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/>i==options.radial_points-1<sp/>?<sp/>surfaces[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>]<sp/>:</highlight></codeline>
<codeline lineno="271"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.polar_radius*z+a*(surfaces[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>]-report.polar_radius);</highlight></codeline>
<codeline lineno="272"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>raw<sp/>=<sp/>checked(source.enthalpy(radius,<sp/>sign*cosine,<sp/>2*pi*k/options.azimuthal_points),</highlight></codeline>
<codeline lineno="273"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;source/enthalpy/radial_&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::to_string(i))/source.central_enthalpy;</highlight></codeline>
<codeline lineno="274"><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(raw))<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source/enthalpy&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Normalized<sp/>enthalpy<sp/>is<sp/>nonfinite.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="275"><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/>(i==options.radial_points-1)<sp/>{</highlight></codeline>
<codeline lineno="276"><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/>report.maximum_relative_surface_enthalpy<sp/>=<sp/>std::max(report.maximum_relative_surface_enthalpy,<sp/>std::abs(raw));</highlight></codeline>
<codeline lineno="277"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(std::abs(raw)<sp/>&gt;<sp/>options.relative_surface_tolerance)<sp/>{</highlight></codeline>
<codeline lineno="278"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;source/enthalpy/surface&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;TOP&apos;s<sp/>vacuum<sp/>surface<sp/>requires<sp/>zero<sp/>enthalpy<sp/>within<sp/>relative_surface_tolerance.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="279"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="280"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(raw<sp/>&lt;=<sp/>0.)<sp/>{</highlight></codeline>
<codeline lineno="281"><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/>fail(</highlight><highlight class="stringliteral">&quot;source/enthalpy/radial_&quot;</highlight><highlight class="normal">+std::to_string(i),<sp/></highlight><highlight class="stringliteral">&quot;TOP<sp/>requires<sp/>strictly<sp/>positive<sp/>interior<sp/>enthalpy<sp/>for<sp/>its<sp/>logarithmic<sp/>derivatives.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="282"><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="283"><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/>(i==0<sp/>&amp;&amp;<sp/>std::abs(raw-1.)<sp/>&gt;<sp/>1e-8)<sp/>{<sp/>fail(</highlight><highlight class="stringliteral">&quot;source/central_enthalpy&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;The<sp/>supplied<sp/>central<sp/>enthalpy<sp/>does<sp/>not<sp/>match<sp/>the<sp/>source<sp/>center.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="284"><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_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.push_back(raw);</highlight></codeline>
<codeline lineno="285"><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_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>;</highlight></codeline>
<codeline lineno="286"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="287"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="288"><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/>average<sp/>=<sp/>mean(values);</highlight></codeline>
<codeline lineno="289"><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">double</highlight><highlight class="normal"><sp/>value<sp/>:<sp/>values)<sp/>{</highlight></codeline>
<codeline lineno="290"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.maximum_relative_enthalpy_symmetry_error<sp/>=<sp/>std::max(report.maximum_relative_enthalpy_symmetry_error,<sp/>std::abs(value-average));</highlight></codeline>
<codeline lineno="291"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="292"><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/>(report.maximum_relative_enthalpy_symmetry_error<sp/>&gt;<sp/>options.relative_symmetry_tolerance)<sp/>{</highlight></codeline>
<codeline lineno="293"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;source/enthalpy&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Enthalpy<sp/>axisymmetry<sp/>or<sp/>equatorial-symmetry<sp/>defect<sp/>exceeds<sp/>relative_symmetry_tolerance.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="294"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="295"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>The<sp/>vacuum<sp/>boundary<sp/>is<sp/>imposed<sp/>only<sp/>after<sp/>measuring<sp/>and<sp/>accepting<sp/>its<sp/>source<sp/>defect.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="296"><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/>result<sp/>=<sp/>i==options.radial_points-1<sp/>?<sp/>0.<sp/>:<sp/>average;</highlight></codeline>
<codeline lineno="297"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.minimum_enthalpy<sp/>=<sp/>std::min(report.minimum_enthalpy,<sp/>result);</highlight></codeline>
<codeline lineno="298"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>result;</highlight></codeline>
<codeline lineno="299"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="300"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Matrix<sp/>coefficients;</highlight></codeline>
<codeline lineno="301"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>coefficients.reserve(options.radial_points);</highlight></codeline>
<codeline lineno="302"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/>options.radial_points;<sp/>++i)<sp/>{</highlight></codeline>
<codeline lineno="303"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;double&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="304"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;<sp/>options.angular_points;<sp/>++j)<sp/>{<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.push_back(enthalpy_samples(i,<sp/>mu[j],<sp/>radius_values[j]));<sp/>}</highlight></codeline>
<codeline lineno="305"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>coefficients.push_back(project(values,<sp/>mu,<sp/>weights,<sp/>options.maximum_degree));</highlight></codeline>
<codeline lineno="306"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;<sp/>options.angular_points;<sp/>++j)<sp/>{</highlight></codeline>
<codeline lineno="307"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>report.maximum_relative_enthalpy_projection_error<sp/>=<sp/>std::max(report.maximum_relative_enthalpy_projection_error,</highlight></codeline>
<codeline lineno="308"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::abs(reconstruct(coefficients.back(),<sp/>mu[j])-values[j]));</highlight></codeline>
<codeline lineno="309"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="310"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="311"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Include<sp/>poles<sp/>and<sp/>equator<sp/>in<sp/>physical<sp/>boundary/symmetry<sp/>checks,<sp/>independently<sp/>of<sp/>Gauss<sp/>nodes.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="312"><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">double</highlight><highlight class="normal"><sp/>cosine<sp/>:<sp/>{0.,<sp/>1.})<sp/>{</highlight></codeline>
<codeline lineno="313"><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/>surfaces<sp/>=<sp/>surface_samples(cosine);</highlight></codeline>
<codeline lineno="314"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/>options.radial_points;<sp/>++i)<sp/>{<sp/>enthalpy_samples(i,<sp/>cosine,<sp/>surfaces);<sp/>}</highlight></codeline>
<codeline lineno="315"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="316"><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/>derivative<sp/>=<sp/>derivative_matrix(zeta);</highlight></codeline>
<codeline lineno="317"><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/>first<sp/>=<sp/>differentiate(coefficients,<sp/>derivative);</highlight></codeline>
<codeline lineno="318"><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/>second<sp/>=<sp/>differentiate(first,<sp/>derivative);</highlight></codeline>
<codeline lineno="319"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>TOP<sp/>uses<sp/>h_zeta_theta/h_zeta<sp/>at<sp/>the<sp/>surface,<sp/>so<sp/>a<sp/>flat<sp/>or<sp/>outward-increasing</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="320"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>exported<sp/>profile<sp/>cannot<sp/>be<sp/>handed<sp/>to<sp/>that<sp/>reader<sp/>even<sp/>when<sp/>all<sp/>samples<sp/>are<sp/>finite.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="321"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;=<sp/>2*options.angular_points;<sp/>++j)<sp/>{</highlight></codeline>
<codeline lineno="322"><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/>slope<sp/>=<sp/>reconstruct(first.back(),<sp/>std::cos(pi*j/(2*options.angular_points)));</highlight></codeline>
<codeline lineno="323"><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(slope)<sp/>||<sp/>slope<sp/>&gt;=<sp/>-128*std::numeric_limits&lt;double&gt;::epsilon())<sp/>{</highlight></codeline>
<codeline lineno="324"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;enthalpy_et_der/surface_derivative&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;TOP<sp/>requires<sp/>strictly<sp/>negative,<sp/>nonvanishing<sp/>surface<sp/>enthalpy<sp/>derivative;<sp/>refine<sp/>the<sp/>export<sp/>or<sp/>source<sp/>model.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="325"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="326"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="327"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>TOP<sp/>takes<sp/>abs(h)<sp/>silently<sp/>and<sp/>divides<sp/>by<sp/>h.<sp/>Reject<sp/>nonpositive<sp/>projection<sp/>values<sp/>before<sp/>either<sp/>operation.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="328"><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/>i<sp/>=<sp/>0;<sp/>i<sp/>&lt;<sp/>options.radial_points-1;<sp/>++i)<sp/>{</highlight></codeline>
<codeline lineno="329"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;=<sp/>2*options.angular_points;<sp/>++j)<sp/>{</highlight></codeline>
<codeline lineno="330"><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/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>=<sp/>reconstruct(coefficients[i],<sp/>std::cos(pi*j/(2*options.angular_points)));</highlight></codeline>
<codeline lineno="331"><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/>(!positive(value))<sp/>{</highlight></codeline>
<codeline lineno="332"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>fail(</highlight><highlight class="stringliteral">&quot;enthalpy_et_der&quot;</highlight><highlight class="normal">,<sp/></highlight><highlight class="stringliteral">&quot;Harmonic<sp/>projection<sp/>creates<sp/>nonpositive<sp/>interior<sp/>enthalpy;<sp/>increase<sp/>angular<sp/>resolution.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="333"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="334"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="335"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="336"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(source.roundoff_density_clamps)<sp/>{<sp/>report.roundoff_density_clamps<sp/>=<sp/>source.roundoff_density_clamps();<sp/>}</highlight></codeline>
<codeline lineno="337"><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">double</highlight><highlight class="normal">&amp;<sp/>coefficient<sp/>:<sp/>surface_coefficients)<sp/>{<sp/>coefficient<sp/>/=<sp/>report.equatorial_radius;<sp/>}</highlight></codeline>
<codeline lineno="338"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>TemporaryDirectory<sp/>temporary;</highlight></codeline>
<codeline lineno="339"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/>std::atomic&lt;unsigned<sp/>long<sp/>long&gt;<sp/>sequence{0};</highlight></codeline>
<codeline lineno="340"><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/>attempt<sp/>=<sp/>0;<sp/>attempt<sp/>&lt;<sp/>100;<sp/>++attempt)<sp/>{</highlight></codeline>
<codeline lineno="341"><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/>suffix<sp/>=<sp/>std::to_string(std::chrono::steady_clock::now().time_since_epoch().count())<sp/>+<sp/></highlight><highlight class="stringliteral">&quot;-&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::to_string(sequence++);</highlight></codeline>
<codeline lineno="342"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>candidate<sp/>=<sp/>path.parent_path()/(</highlight><highlight class="stringliteral">&quot;.&quot;</highlight><highlight class="normal">+path.filename().</highlight><highlight class="keywordtype">string</highlight><highlight class="normal">()+</highlight><highlight class="stringliteral">&quot;.top-tmp-&quot;</highlight><highlight class="normal">+suffix);</highlight></codeline>
<codeline lineno="343"><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::filesystem::create_directory(candidate))<sp/>{<sp/>temporary.path=std::move(candidate);<sp/></highlight><highlight class="keywordflow">break</highlight><highlight class="normal">;<sp/>}</highlight></codeline>
<codeline lineno="344"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="345"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(temporary.path.empty())<sp/>{<sp/>fail(path.string(),<sp/></highlight><highlight class="stringliteral">&quot;Could<sp/>not<sp/>reserve<sp/>a<sp/>temporary<sp/>TOP<sp/>directory.&quot;</highlight><highlight class="normal">);<sp/>}</highlight></codeline>
<codeline lineno="346"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="347"><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/>file<sp/>=<sp/>temporary.path/</highlight><highlight class="stringliteral">&quot;lambda_eps&quot;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="348"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>output<sp/>=<sp/>open_output(file);</highlight></codeline>
<codeline lineno="349"><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">double</highlight><highlight class="normal"><sp/>value<sp/>:<sp/>{report.lambda,<sp/>report.flattening,<sp/>report.alpha,<sp/>0.,<sp/>source.polytropic_index,</highlight></codeline>
<codeline lineno="350"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>source.polytropic_index,<sp/>report.rotation,<sp/>report.rotation_over_kepler})<sp/>{<sp/>output<sp/>&lt;&lt;<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;<sp/>}</highlight></codeline>
<codeline lineno="351"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>options.radial_points<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="352"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>close_output(output,<sp/>file);</highlight></codeline>
<codeline lineno="353"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="354"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="355"><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/>file<sp/>=<sp/>temporary.path/</highlight><highlight class="stringliteral">&quot;domains_boundaries&quot;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="356"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>output<sp/>=<sp/>open_output(file);</highlight></codeline>
<codeline lineno="357"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>options.maximum_degree<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="358"><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/>l<sp/>=<sp/>0;<sp/>l<sp/>&lt;=<sp/>options.maximum_degree;<sp/>++l)<sp/>{<sp/>output<sp/>&lt;&lt;<sp/>0.<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;<sp/>&apos;</highlight><highlight class="normal">;<sp/>}<sp/>output<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="359"><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">double</highlight><highlight class="normal"><sp/>value<sp/>:<sp/>surface_coefficients)<sp/>{<sp/>output<sp/>&lt;&lt;<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;<sp/>&apos;</highlight><highlight class="normal">;<sp/>}<sp/>output<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="360"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>close_output(output,<sp/>file);</highlight></codeline>
<codeline lineno="361"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="362"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="363"><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/>file<sp/>=<sp/>temporary.path/</highlight><highlight class="stringliteral">&quot;enthalpy_et_der&quot;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="364"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>output<sp/>=<sp/>open_output(file);</highlight></codeline>
<codeline lineno="365"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>options.radial_points<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;<sp/>&apos;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>options.maximum_degree+1<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="366"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;enthalpy<sp/>in<sp/>physical<sp/>space:<sp/>(one<sp/>hemisphere)\n&quot;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="367"><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/>physical_mu<sp/>=<sp/>gauss(options.maximum_degree+1).first;</highlight></codeline>
<codeline lineno="368"><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/>j<sp/>=<sp/>0;<sp/>j<sp/>&lt;=<sp/>options.maximum_degree/2;<sp/>++j)<sp/>{</highlight></codeline>
<codeline lineno="369"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>j+1<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="370"><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="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>row<sp/>:<sp/>coefficients)<sp/>{<sp/>output<sp/>&lt;&lt;<sp/>reconstruct(row,<sp/>physical_mu[j])<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;<sp/>}</highlight></codeline>
<codeline lineno="371"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="372"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>block<sp/>=<sp/>[&amp;](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">char</highlight><highlight class="normal">*<sp/>label,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Matrix&amp;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>)<sp/>{</highlight></codeline>
<codeline lineno="373"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>label<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="374"><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/>l<sp/>=<sp/>0;<sp/>l<sp/>&lt;=<sp/>options.maximum_degree;<sp/>l<sp/>+=<sp/>2)<sp/>{</highlight></codeline>
<codeline lineno="375"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/>l<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;<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/>row<sp/>:<sp/>values)<sp/>{<sp/>output<sp/>&lt;&lt;<sp/>row[l]<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;<sp/>}</highlight></codeline>
<codeline lineno="376"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="377"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="378"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>block(</highlight><highlight class="stringliteral">&quot;enthalpy<sp/>in<sp/>legendre<sp/>space:<sp/>l=0,2,4...lmax&quot;</highlight><highlight class="normal">,<sp/>coefficients);</highlight></codeline>
<codeline lineno="379"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>block(</highlight><highlight class="stringliteral">&quot;first<sp/>radial<sp/>derivative<sp/>in<sp/>legendre<sp/>space&quot;</highlight><highlight class="normal">,<sp/>first);</highlight></codeline>
<codeline lineno="380"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>block(</highlight><highlight class="stringliteral">&quot;second<sp/>radial<sp/>derivative<sp/>in<sp/>legendre<sp/>space&quot;</highlight><highlight class="normal">,<sp/>second);</highlight></codeline>
<codeline lineno="381"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>close_output(output,<sp/>file);</highlight></codeline>
<codeline lineno="382"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="383"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="384"><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/>file<sp/>=<sp/>temporary.path/</highlight><highlight class="stringliteral">&quot;metadata.txt&quot;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="385"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>output<sp/>=<sp/>open_output(file);</highlight></codeline>
<codeline lineno="386"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;SERiF<sp/>TOP<sp/>poly_ester<sp/>export<sp/>version<sp/>1\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="387"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Coordinates:<sp/>zeta=(1-cos(pi*i/(nr-1)))/2;<sp/>mu=cos(theta)<sp/>relative<sp/>to<sp/>the<sp/>source<sp/>rotation<sp/>axis.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="388"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Basis:<sp/>Y_l0=sqrt((2*l+1)/(4*pi))*P_l(mu);<sp/>even<sp/>l<sp/>only.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="389"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Projection:<sp/>source<sp/>surface<sp/>and<sp/>enthalpy<sp/>are<sp/>averaged<sp/>over<sp/>azimuth<sp/>and<sp/>both<sp/>hemispheres,<sp/>then<sp/>projected<sp/>at<sp/>common<sp/>surface-fitted<sp/>zeta.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="390"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Physical<sp/>sampling<sp/>map:<sp/>r=Rp*zeta+(5*zeta^3-3*zeta^5)/2*(source_surface_radius-Rp).\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="391"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;TOP<sp/>replaces<sp/>source_surface_radius<sp/>with<sp/>its<sp/>harmonic<sp/>projection;<sp/>this<sp/>is<sp/>a<sp/>recorded<sp/>geometry<sp/>approximation,<sp/>not<sp/>an<sp/>exact<sp/>FE<sp/>remap.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="392"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Derivatives:<sp/>Chebyshev<sp/>interpolation<sp/>derivatives<sp/>at<sp/>fixed<sp/>angle;<sp/>export<sp/>refinement<sp/>is<sp/>required<sp/>before<sp/>interpreting<sp/>mode<sp/>accuracy.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="393"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Surface:<sp/>accepted<sp/>source<sp/>enthalpy<sp/>defect<sp/>is<sp/>recorded,<sp/>then<sp/>boundary<sp/>enthalpy<sp/>is<sp/>set<sp/>to<sp/>zero.<sp/>Interior<sp/>values<sp/>are<sp/>not<sp/>clipped.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="394"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Enthalpy<sp/>projection<sp/>diagnostic:<sp/>maximum<sp/>Gauss-node<sp/>error<sp/>of<sp/>the<sp/>averaged<sp/>H/Hc<sp/>after<sp/>vacuum-boundary<sp/>normalization;<sp/>the<sp/>source<sp/>surface<sp/>defect<sp/>is<sp/>reported<sp/>separately.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="395"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Diagnostic<sp/>units:<sp/>enthalpy<sp/>and<sp/>its<sp/>defects<sp/>are<sp/>normalized<sp/>by<sp/>central_enthalpy;<sp/>radial<sp/>mapping<sp/>derivative<sp/>by<sp/>equatorial_radius.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="396"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Frequency:<sp/>TOP<sp/>angular<sp/>frequency<sp/>times<sp/>angular_frequency_unit<sp/>gives<sp/>source-unit<sp/>angular<sp/>frequency;<sp/>divide<sp/>by<sp/>2*pi<sp/>for<sp/>cyclic<sp/>frequency.\n&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="397"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;Gamma1<sp/>is<sp/>selected<sp/>by<sp/>TOP&apos;s<sp/>equation<sp/>set,<sp/>not<sp/>by<sp/>these<sp/>files.<sp/>Diagnostic<sp/>maxima<sp/>are<sp/>sampled,<sp/>not<sp/>rigorous<sp/>global<sp/>bounds.\n&quot;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="398"><highlight class="normal"></highlight><highlight class="preprocessor">#define<sp/>SERIF_TOP_METADATA(member)<sp/>output<sp/>&lt;&lt;<sp/>#member<sp/>&lt;&lt;<sp/>&quot;<sp/>&quot;<sp/>&lt;&lt;<sp/>report.member<sp/>&lt;&lt;<sp/>&apos;\n&apos;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="399"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(radial_points);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(maximum_degree);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(angular_points);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(azimuthal_points);</highlight></codeline>
<codeline lineno="400"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(source_equatorial_radius);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(source_polar_radius);</highlight></codeline>
<codeline lineno="401"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(equatorial_radius);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(polar_radius);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(lambda);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(flattening);</highlight></codeline>
<codeline lineno="402"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(alpha);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(rotation);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(rotation_over_kepler);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(angular_frequency_unit);</highlight></codeline>
<codeline lineno="403"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(maximum_relative_surface_symmetry_error);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(maximum_relative_enthalpy_symmetry_error);</highlight></codeline>
<codeline lineno="404"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(maximum_relative_surface_projection_error);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(maximum_relative_enthalpy_projection_error);</highlight></codeline>
<codeline lineno="405"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(maximum_relative_surface_enthalpy);</highlight></codeline>
<codeline lineno="406"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(minimum_mapping_derivative);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(minimum_enthalpy);<sp/><ref refid="utils_2serialize_2top_8cpp_1a791904e1c6a5c51515b3aaedb52f7c44" kindref="member">SERIF_TOP_METADATA</ref>(roundoff_density_clamps);</highlight></codeline>
<codeline lineno="407"><highlight class="normal"></highlight><highlight class="preprocessor">#undef<sp/>SERIF_TOP_METADATA</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="408"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>output<sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;polytropic_index<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>source.polytropic_index<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;gravitational_constant<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>source.gravitational_constant<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="409"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;mass<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>source.mass<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;angular_velocity<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>source.angular_velocity<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="410"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;central_density<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>source.central_density<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;central_enthalpy<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>source.central_enthalpy<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="411"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;relative_symmetry_tolerance<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>options.relative_symmetry_tolerance<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="412"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;relative_surface_tolerance<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>options.relative_surface_tolerance<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="413"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&lt;&lt;<sp/></highlight><highlight class="stringliteral">&quot;relative_surface_projection_tolerance<sp/>&quot;</highlight><highlight class="normal"><sp/>&lt;&lt;<sp/>options.relative_surface_projection_tolerance<sp/>&lt;&lt;<sp/></highlight><highlight class="charliteral">&apos;\n&apos;</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="414"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>close_output(output,<sp/>file);</highlight></codeline>
<codeline lineno="415"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="416"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>publish(temporary.path,<sp/>path);</highlight></codeline>
<codeline lineno="417"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>temporary.path.clear();</highlight></codeline>
<codeline lineno="418"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>report;</highlight></codeline>
<codeline lineno="419"><highlight class="normal"><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">catch</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>Failure&amp;<sp/>failure)<sp/>{</highlight></codeline>
<codeline lineno="420"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(<ref refid="namespaceserif_1_1solver_1_1preconditioner_1_1backend_1_1mfem_1_1detail_1a707023cbec2faf9488d727eb98373bbe" kindref="member">failure</ref>.error);</highlight></codeline>
<codeline lineno="421"><highlight class="normal"><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">catch</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::exception&amp;<sp/>error)<sp/>{</highlight></codeline>
<codeline lineno="422"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(<ref refid="structserif_1_1utils_1_1serialize_1_1_error" kindref="compound">Error</ref>{requested_path.string(),<sp/>error.what()});</highlight></codeline>
<codeline lineno="423"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="424"><highlight class="normal">}</highlight></codeline>
<codeline lineno="425"><highlight class="normal">}</highlight></codeline>
    </programlisting>
    <location file="src/lib/serif/utils/serialize/top.cpp"/>
  </compounddef>
</doxygen>