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<?xml version='1.0' encoding='UTF-8' standalone='no'?>
<doxygen xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="compound.xsd" version="1.13.2" xml:lang="en-US">
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<compoundname>scaling.cpp</compoundname>
<includes refid="scaling_8hpp" local="yes">serif/utils/laneemden/scaling.hpp</includes>
<includes local="no">algorithm</includes>
<includes local="no">cmath</includes>
<includes local="no">numbers</includes>
<incdepgraph>
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<label>serif/dimensions/dimensions.hpp</label>
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<label>serif/dimensions/quantities.hpp</label>
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<label>serif/utils/misc/concepts/numeric.hpp</label>
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<label>serif/utils/misc/std_helper/cleaning.hpp</label>
<link refid="cleaning_8hpp"/>
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<node id="24">
<label>serif/utils/misc/terminal/colors.hpp</label>
<link refid="colors_8hpp"/>
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<label>serif/utils/types/strings.hpp</label>
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<innernamespace refid="namespaceserif">serif</innernamespace>
<innernamespace refid="namespaceserif_1_1utils">serif::utils</innernamespace>
<innernamespace refid="namespaceserif_1_1utils_1_1laneemden">serif::utils::laneemden</innernamespace>
<briefdescription>
</briefdescription>
<detaileddescription>
</detaileddescription>
<programlisting>
<codeline lineno="1"><highlight class="preprocessor">#include<sp/>&quot;<ref refid="scaling_8hpp" kindref="compound">serif/utils/laneemden/scaling.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;cmath&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;numbers&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1utils_1_1laneemden" kindref="compound">serif::utils::laneemden</ref><sp/>{</highlight></codeline>
<codeline lineno="8"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="9"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>four_pi<sp/>=<sp/>4.0L<sp/>*<sp/>std::numbers::pi_v&lt;long<sp/>double&gt;;</highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>positive_finite(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>value)<sp/>{</highlight></codeline>
<codeline lineno="13"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::isfinite(value)<sp/>&amp;&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1backend_1_1mfem_1af75f98db90618153ea4ca169945733f7a2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref><sp/>&gt;<sp/>0.0;</highlight></codeline>
<codeline lineno="14"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight></codeline>
<codeline lineno="17"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>finite_surface(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_solution" kindref="compound">Solution</ref><sp/>&amp;solution)<sp/>{</highlight></codeline>
<codeline lineno="18"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::isfinite(solution.n)<sp/>&amp;&amp;<sp/>solution.n<sp/>&gt;=<sp/>0.0<sp/>&amp;&amp;<sp/>solution.surface<sp/>&amp;&amp;<sp/>positive_finite(solution.surface-&gt;xi)<sp/>&amp;&amp;</highlight></codeline>
<codeline lineno="19"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::isfinite(solution.surface-&gt;derivative)<sp/>&amp;&amp;<sp/>solution.surface-&gt;derivative<sp/>&lt;<sp/>0.0;</highlight></codeline>
<codeline lineno="20"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="21"><highlight class="normal"></highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::expected&lt;PhysicalScales,<sp/>std::string&gt;<sp/>make_scales(</highlight></codeline>
<codeline lineno="24"><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/><ref refid="structserif_1_1utils_1_1laneemden_1_1_solution" kindref="compound">Solution</ref><sp/>&amp;solution,<sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>radial_scale,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>central_density,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>gravitational_constant)<sp/>{</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>surface_xi<sp/>=<sp/>solution.surface-&gt;xi;</highlight></codeline>
<codeline lineno="26"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>dimensionless_mass<sp/>=<sp/>-surface_xi<sp/>*<sp/>surface_xi<sp/>*<sp/>solution.surface-&gt;derivative;</highlight></codeline>
<codeline lineno="27"><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/>radius<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(radial_scale<sp/>*<sp/>surface_xi);</highlight></codeline>
<codeline lineno="28"><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/>mass<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(four_pi<sp/>*<sp/>central_density<sp/>*<sp/>radial_scale<sp/>*<sp/>radial_scale<sp/>*<sp/>radial_scale<sp/>*<sp/>dimensionless_mass);</highlight></codeline>
<codeline lineno="29"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>enthalpy<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(four_pi<sp/>*<sp/>gravitational_constant<sp/>*<sp/>central_density<sp/>*<sp/>radial_scale<sp/>*<sp/>radial_scale);</highlight></codeline>
<codeline lineno="30"><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/>alpha<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(radial_scale);</highlight></codeline>
<codeline lineno="31"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!positive_finite(alpha)<sp/>||<sp/>!positive_finite(radius)<sp/>||<sp/>!positive_finite(mass)<sp/>||<sp/>!positive_finite(enthalpy))<sp/>{</highlight></codeline>
<codeline lineno="32"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(</highlight><highlight class="stringliteral">&quot;Lane–Emden<sp/>physical<sp/>scales<sp/>overflow<sp/>or<sp/>underflow;<sp/>choose<sp/>representable<sp/>consistent<sp/>units.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="33"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::optional&lt;double&gt;<sp/>polytropic_constant;</highlight></codeline>
<codeline lineno="35"><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/>(solution.n<sp/>&gt;<sp/>0.0)<sp/>{</highlight></codeline>
<codeline lineno="36"><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/>constant<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(enthalpy<sp/>/<sp/>((solution.n<sp/>+<sp/>1.0L)<sp/>*<sp/>std::pow(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(central_density),<sp/>1.0L<sp/>/<sp/>solution.n)));</highlight></codeline>
<codeline lineno="37"><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_finite(constant))<sp/>{</highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>polytropic_constant<sp/>=<sp/>constant;</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="41"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_physical_scales" kindref="compound">PhysicalScales</ref>{</highlight></codeline>
<codeline lineno="42"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.n<sp/>=<sp/>solution.n,</highlight></codeline>
<codeline lineno="43"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.radial_scale<sp/>=<sp/>alpha,</highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.mass<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::Mass&gt;{mass},</highlight></codeline>
<codeline lineno="45"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.radius<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::Length&gt;{radius},</highlight></codeline>
<codeline lineno="46"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.central_density<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::MassDensity&gt;{central_density},</highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.central_enthalpy<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::SpecificEnthalpy&gt;{enthalpy},</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.gravitational_constant<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::GravitationalConstant&gt;{gravitational_constant},</highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.polytropic_constant<sp/>=<sp/>polytropic_constant</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="53"><highlight class="normal"></highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;PhysicalScales,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1utils_1_1laneemden_1a4c3ea7fb533fd5a9306e993593eb20fc" kindref="member">scale_from_mass</ref>(</highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_solution" kindref="compound">Solution</ref><sp/>&amp;solution,</highlight></codeline>
<codeline lineno="56"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::Mass&gt;<sp/>mass,</highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::MassDensity&gt;<sp/>central_density,</highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::GravitationalConstant&gt;<sp/>gravitational_constant)<sp/>{</highlight></codeline>
<codeline lineno="59"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!finite_surface(solution)<sp/>||<sp/>!positive_finite(mass.value())<sp/>||<sp/>!positive_finite(central_density.value())<sp/>||<sp/>!positive_finite(gravitational_constant.value()))<sp/>{</highlight></codeline>
<codeline lineno="60"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(</highlight><highlight class="stringliteral">&quot;Lane–Emden<sp/>mass<sp/>scaling<sp/>needs<sp/>a<sp/>finite<sp/>surface<sp/>and<sp/>positive<sp/>finite<sp/>mass,<sp/>central<sp/>density,<sp/>and<sp/>G.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="61"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="62"><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">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>xi<sp/>=<sp/>solution.surface-&gt;xi;</highlight></codeline>
<codeline lineno="63"><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">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>dimensionless_mass<sp/>=<sp/>-xi<sp/>*<sp/>xi<sp/>*<sp/>solution.surface-&gt;derivative;</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>alpha<sp/>=<sp/>std::cbrt(mass.value()<sp/>/<sp/>(four_pi<sp/>*<sp/>central_density.value()<sp/>*<sp/>dimensionless_mass));</highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>make_scales(solution,<sp/>alpha,<sp/>central_density.value(),<sp/>gravitational_constant.value());</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="67"><highlight class="normal"></highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;PhysicalScales,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1utils_1_1laneemden_1ab57cad62436b0fcf5cb9df68347b196b" kindref="member">scale_from_enthalpy</ref>(</highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_solution" kindref="compound">Solution</ref><sp/>&amp;solution,</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::SpecificEnthalpy&gt;<sp/>central_enthalpy,</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::MassDensity&gt;<sp/>central_density,</highlight></codeline>
<codeline lineno="72"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::GravitationalConstant&gt;<sp/>gravitational_constant)<sp/>{</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!finite_surface(solution)<sp/>||<sp/>!positive_finite(central_enthalpy.value())<sp/>||<sp/>!positive_finite(central_density.value())<sp/>||<sp/>!positive_finite(gravitational_constant.value()))<sp/>{</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(</highlight><highlight class="stringliteral">&quot;Lane–Emden<sp/>enthalpy<sp/>scaling<sp/>needs<sp/>a<sp/>finite<sp/>surface<sp/>and<sp/>positive<sp/>finite<sp/>enthalpy,<sp/>central<sp/>density,<sp/>and<sp/>G.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><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="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>alpha<sp/>=<sp/>std::sqrt(central_enthalpy.value()<sp/>/<sp/>(four_pi<sp/>*<sp/>gravitational_constant.value()<sp/>*<sp/>central_density.value()));</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>make_scales(solution,<sp/>alpha,<sp/>central_density.value(),<sp/>gravitational_constant.value());</highlight></codeline>
<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="79"><highlight class="normal"></highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;PhysicalScales,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1utils_1_1laneemden_1adf057a3c9420e9b4e92c20c89126d3fd" kindref="member">scale_from_polytropic_constant</ref>(</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_solution" kindref="compound">Solution</ref><sp/>&amp;solution,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>polytropic_constant,</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::MassDensity&gt;<sp/>central_density,</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>dimensions::QuantityValue&lt;dimensions::GravitationalConstant&gt;<sp/>gravitational_constant)<sp/>{</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!finite_surface(solution)<sp/>||<sp/>solution.n<sp/>&lt;=<sp/>0.0<sp/>||<sp/>!positive_finite(polytropic_constant)<sp/>||<sp/>!positive_finite(central_density.value())<sp/>||</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>!positive_finite(gravitational_constant.value()))<sp/>{</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(</highlight><highlight class="stringliteral">&quot;Lane–Emden<sp/>EOS<sp/>scaling<sp/>needs<sp/>n<sp/>&gt;<sp/>0,<sp/>a<sp/>finite<sp/>surface,<sp/>and<sp/>positive<sp/>finite<sp/>K,<sp/>central<sp/>density,<sp/>and<sp/>G.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="88"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>enthalpy<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">((solution.n<sp/>+<sp/>1.0L)<sp/>*<sp/>polytropic_constant<sp/>*<sp/>std::pow(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(central_density.value()),<sp/>1.0L<sp/>/<sp/>solution.n));</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>scales<sp/>=<sp/><ref refid="namespaceserif_1_1utils_1_1laneemden_1ab57cad62436b0fcf5cb9df68347b196b" kindref="member">scale_from_enthalpy</ref>(solution,<sp/>dimensions::QuantityValue&lt;dimensions::SpecificEnthalpy&gt;{enthalpy},<sp/>central_density,<sp/>gravitational_constant);</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(scales)<sp/>{</highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>scales-&gt;polytropic_constant<sp/>=<sp/>polytropic_constant;</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="93"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>scales;</highlight></codeline>
<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="95"><highlight class="normal"></highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/>std::expected&lt;PhysicalSample,<sp/>std::string&gt;<sp/><ref refid="namespaceserif_1_1utils_1_1laneemden_1aec2842a8929dc7a2b5dac2adf8a067b6" kindref="member">evaluate_physical</ref>(</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/><ref refid="structserif_1_1utils_1_1laneemden_1_1_solution" kindref="compound">Solution</ref><sp/>&amp;solution,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_physical_scales" kindref="compound">PhysicalScales</ref><sp/>&amp;scales,<sp/>dimensions::QuantityValue&lt;dimensions::Length&gt;<sp/>radius)<sp/>{</highlight></codeline>
<codeline lineno="98"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!finite_surface(solution)<sp/>||<sp/>solution.n<sp/>!=<sp/>scales.n<sp/>||<sp/>!std::isfinite(radius.value())<sp/>||<sp/>radius.value()<sp/>&lt;<sp/>0.0<sp/>||</highlight></codeline>
<codeline lineno="99"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>!positive_finite(scales.radial_scale)<sp/>||<sp/>!positive_finite(scales.radius.value())<sp/>||<sp/>!positive_finite(scales.mass.value())<sp/>||</highlight></codeline>
<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>!positive_finite(scales.central_density.value())<sp/>||<sp/>!positive_finite(scales.central_enthalpy.value())<sp/>||<sp/>!positive_finite(scales.gravitational_constant.value()))<sp/>{</highlight></codeline>
<codeline lineno="101"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(</highlight><highlight class="stringliteral">&quot;Lane–Emden<sp/>physical<sp/>evaluation<sp/>requires<sp/>matching<sp/>finite-surface<sp/>scales<sp/>and<sp/>a<sp/>finite<sp/>nonnegative<sp/>radius.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="103"><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">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>gravitational_mass<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(scales.gravitational_constant.value())<sp/>*<sp/>scales.mass.value();</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>density<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>pressure<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>enthalpy<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>mass<sp/>=<sp/>scales.mass.value();</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>potential;</highlight></codeline>
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>gravity;</highlight></codeline>
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(radius.value()<sp/>&gt;=<sp/>scales.radius.value())<sp/>{</highlight></codeline>
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>potential<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(-gravitational_mass<sp/>/<sp/>radius.value());</highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>gravity<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(gravitational_mass<sp/>/<sp/>radius.value()<sp/>/<sp/>radius.value());</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="114"><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/>xi<sp/>=<sp/>std::min(radius.value()<sp/>/<sp/>scales.radial_scale,<sp/>solution.surface-&gt;xi);</highlight></codeline>
<codeline lineno="115"><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/>sample<sp/>=<sp/><ref refid="namespaceserif_1_1utils_1_1laneemden_1ac58bd2b83384f8454be7fd0b11cd9332" kindref="member">evaluate</ref>(solution,<sp/>xi);</highlight></codeline>
<codeline lineno="116"><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/>(!sample)<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/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(sample.error());</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>theta<sp/>=<sp/>std::max(0.0,<sp/>sample-&gt;theta);</highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>density<sp/>=<sp/>scales.central_density.value()<sp/>*<sp/>std::pow(theta,<sp/>solution.n);</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>enthalpy<sp/>=<sp/>scales.central_enthalpy.value()<sp/>*<sp/>theta;</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>pressure<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(density)<sp/>*<sp/>enthalpy<sp/>/<sp/>(solution.n<sp/>+<sp/>1.0L));</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>potential<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(-gravitational_mass<sp/>/<sp/>scales.radius.value()<sp/>-<sp/>enthalpy);</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>gravity<sp/>=<sp/>-scales.central_enthalpy.value()<sp/>/<sp/>scales.radial_scale<sp/>*<sp/>sample-&gt;derivative;</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>mass<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(-four_pi<sp/>*<sp/>scales.central_density.value()<sp/>*<sp/>std::pow(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">long</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(scales.radial_scale),<sp/>3)<sp/>*<sp/>xi<sp/>*<sp/>xi<sp/>*<sp/>sample-&gt;derivative);</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="127"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!std::isfinite(density)<sp/>||<sp/>!std::isfinite(pressure)<sp/>||<sp/>!std::isfinite(enthalpy)<sp/>||<sp/>!std::isfinite(potential)<sp/>||<sp/>!std::isfinite(gravity)<sp/>||<sp/>!std::isfinite(mass))<sp/>{</highlight></codeline>
<codeline lineno="128"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::unexpected(</highlight><highlight class="stringliteral">&quot;Lane–Emden<sp/>physical<sp/>fields<sp/>overflow<sp/>in<sp/>the<sp/>supplied<sp/>units.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="129"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1utils_1_1laneemden_1_1_physical_sample" kindref="compound">PhysicalSample</ref>{</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.density<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::MassDensity&gt;{density},</highlight></codeline>
<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.pressure<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::Pressure&gt;{pressure},</highlight></codeline>
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.enthalpy<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::SpecificEnthalpy&gt;{enthalpy},</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.potential<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::GravitationalPotential&gt;{potential},</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.enclosed_mass<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::Mass&gt;{mass},</highlight></codeline>
<codeline lineno="136"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.gravity<sp/>=<sp/>dimensions::QuantityValue&lt;dimensions::Acceleration&gt;{gravity}</highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="138"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="139"><highlight class="normal">}</highlight></codeline>
</programlisting>
<location file="src/lib/serif/utils/laneemden/scaling.cpp"/>
</compounddef>
</doxygen>