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    </invincdepgraph>
    <innerclass refid="structserif_1_1discretization_1_1functional__space_1_1_rank" prot="public">serif::discretization::functional_space::Rank</innerclass>
    <innerclass refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor" prot="public">serif::discretization::functional_space::SpaceDescriptor</innerclass>
    <innerclass refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space" prot="public">serif::discretization::functional_space::DiscreteFunctionalSpace</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_rank_3_01_r_01_4_01_4" prot="public">std::formatter&lt; serif::discretization::functional_space::Rank&lt; R &gt; &gt;</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_space_descriptor_01_4" prot="public">std::formatter&lt; serif::discretization::functional_space::SpaceDescriptor &gt;</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_discrete_functional_78b19b6a039d41c9bd4413cbbc536dbd" prot="public">std::formatter&lt; serif::discretization::functional_space::DiscreteFunctionalSpace&lt; Space, Order, R &gt; &gt;</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_family_01_4" prot="public">std::formatter&lt; serif::discretization::functional_space::Family &gt;</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_continuity_01_4" prot="public">std::formatter&lt; serif::discretization::functional_space::Continuity &gt;</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_trace_01_4" prot="public">std::formatter&lt; serif::discretization::functional_space::Trace &gt;</innerclass>
    <innerclass refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_mapping_01_4" prot="public">std::formatter&lt; serif::discretization::functional_space::Mapping &gt;</innerclass>
    <innernamespace refid="namespaceserif">serif</innernamespace>
    <innernamespace refid="namespaceserif_1_1discretization">serif::discretization</innernamespace>
    <innernamespace refid="namespaceserif_1_1discretization_1_1functional__space">serif::discretization::functional_space</innernamespace>
    <briefdescription>
<para>This file defines the functional space types used in the discretization framework, including compile-time descriptors and runtime descriptors. </para>
    </briefdescription>
    <detaileddescription>
<para><simplesect kind="author"><para>Emily M. Boudreaux </para>
</simplesect>
</para>
    </detaileddescription>
    <programlisting>
<codeline lineno="1"><highlight class="preprocessor">#pragma<sp/>once</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="2"><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight></codeline>
<codeline lineno="9"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;type_traits&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;format&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="enums_8hpp" kindref="compound">serif/meta/enums.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight></codeline>
<codeline lineno="14" refid="namespaceserif_1_1discretization_1_1functional__space" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1discretization_1_1functional__space" kindref="compound">serif::discretization::functional_space</ref><sp/>{</highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight></codeline>
<codeline lineno="20"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;std::</highlight><highlight class="keywordtype">size_t</highlight><highlight class="normal"><sp/>R&gt;</highlight></codeline>
<codeline lineno="21" refid="structserif_1_1discretization_1_1functional__space_1_1_rank" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1discretization_1_1functional__space_1_1_rank" kindref="compound">Rank</ref><sp/>{</highlight></codeline>
<codeline lineno="22"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/>std::size_t<sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_rank_1a4a7466ad11eda104c5f4dc6a258eb888" kindref="member">value</ref><sp/>=<sp/>R;<sp/></highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="24"><highlight class="normal"></highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">enum<sp/>class</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594" kindref="member">Family</ref><sp/>{</highlight></codeline>
<codeline lineno="35"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594abec25675775e9e0a0d783a5018b463e3" kindref="member">l2</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a346b81a32e7007eccadf60252bb599f0" kindref="member">h1</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="37"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a6e8f220388195916569b1090b37f1586" kindref="member">hdiv</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a7536ab19fae96565f170bdf0d44fb47f" kindref="member">hcurl</ref><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="40"><highlight class="normal"></highlight></codeline>
<codeline lineno="41"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1ac6251caa4914cace463f8fa5540ce62b" kindref="member">Family2StringMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a228074fe1d60918db17444e31b601c2f" kindref="member">meta::enum_to_enum_string_map&lt;Family&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="42"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a179e46e1bb0d677df1ced3b21a4c3000" kindref="member">String2FamilyMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a27a478b13abbbddd3b16dce448ce87fa" kindref="member">meta::enum_to_string_enum_map&lt;Family&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="43"><highlight class="normal"></highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">enum<sp/>class</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2" kindref="member">Continuity</ref><sp/>{</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2a5d0c72e53471642349f8c98884f71177" kindref="member">discontinuous</ref>,<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/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2ad2884efee751eb4746b685827c7efcd9" kindref="member">continuous</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2acc01e9d14a276e8d6043cfb93afdec02" kindref="member">normal_continuous</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2a5cef5968318cec98376e690990d97521" kindref="member">tangential_continuous</ref><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="55"><highlight class="normal"></highlight></codeline>
<codeline lineno="56"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a7d451c2e915be9ade5a07defcd73abce" kindref="member">Continuity2StringMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a228074fe1d60918db17444e31b601c2f" kindref="member">meta::enum_to_enum_string_map&lt;Continuity&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a1e9e7e79984881a2cc18b51d0ca24a71" kindref="member">String2ContinuityMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a27a478b13abbbddd3b16dce448ce87fa" kindref="member">meta::enum_to_string_enum_map&lt;Continuity&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="58"><highlight class="normal"></highlight></codeline>
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">enum<sp/>class</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82a" kindref="member">Trace</ref><sp/>{</highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aa334c4a4c42fdb79d7ebc3e73b517e6f8" kindref="member">none</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aa2063c1608d6e0baf80249c42e2be5804" kindref="member">value</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aafea087517c26fadd409bd4b9dc642555" kindref="member">normal</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aaeee008e363b3d7a6ceb8a6ce8eec1214" kindref="member">tangential</ref><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="68"><highlight class="normal"></highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a18663ffb899c4de2f5d2737cb0db0817" kindref="member">Trace2StringMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a228074fe1d60918db17444e31b601c2f" kindref="member">meta::enum_to_enum_string_map&lt;Trace&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1ac2f005fd8923f3fc6e1579389d54e2ba" kindref="member">String2TraceMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a27a478b13abbbddd3b16dce448ce87fa" kindref="member">meta::enum_to_string_enum_map&lt;Trace&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="71"><highlight class="normal"></highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">enum<sp/>class</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808e" kindref="member">Mapping</ref><sp/>{</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808eaff483d1ff591898a9942916050d2ca3f" kindref="member">identity</ref>,<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808eab0ecbc62272a71e2181b8a0a5db8819a" kindref="member">contravariant_piola</ref>,<sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808ea4235da30cc45a142b5ce7761ac3fbc8f" kindref="member">covariant_piola</ref><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="80"><highlight class="normal"></highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1ab5695c611247978a6ff657bc36419236" kindref="member">Mapping2StringMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a228074fe1d60918db17444e31b601c2f" kindref="member">meta::enum_to_enum_string_map&lt;Mapping&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a3e9d8d852cc8f2e1258c2c51ce9c4313" kindref="member">String2MappingMap</ref><sp/>=<sp/><ref refid="namespaceserif_1_1meta_1a27a478b13abbbddd3b16dce448ce87fa" kindref="member">meta::enum_to_string_enum_map&lt;Mapping&gt;</ref>();<sp/></highlight></codeline>
<codeline lineno="83"><highlight class="normal"></highlight></codeline>
<codeline lineno="87" refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor" kindref="compound">SpaceDescriptor</ref><sp/>final<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/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594" kindref="member">Family</ref><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1acf8b1a5cf45c2913989469246bb719ed" kindref="member">family</ref>;<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2" kindref="member">Continuity</ref><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1a71cf17642b52bb4dd44e7b070319066c" kindref="member">continuity</ref>;<sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82a" kindref="member">Trace</ref><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1a931bc61be3ebf6d224dc363b0ca2d87e" kindref="member">trace</ref>;<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808e" kindref="member">Mapping</ref><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1a76f1256d68801da7cd4c68df6e040fe0" kindref="member">mapping</ref>;<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="93"><highlight class="normal"></highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor" kindref="compound">SpaceDescriptor</ref><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1acb58ec5f3fcddecbb1651363b3712027" kindref="member">L2</ref>{</highlight></codeline>
<codeline lineno="103"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.family<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594abec25675775e9e0a0d783a5018b463e3" kindref="member">Family::l2</ref>,</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.continuity<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2a5d0c72e53471642349f8c98884f71177" kindref="member">Continuity::discontinuous</ref>,</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.trace<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aa334c4a4c42fdb79d7ebc3e73b517e6f8" kindref="member">Trace::none</ref>,</highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.mapping<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808eaff483d1ff591898a9942916050d2ca3f" kindref="member">Mapping::identity</ref></highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="108"><highlight class="normal"></highlight></codeline>
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>SpaceDescriptor<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a3c5757cd4267da94451cb55b7bc70987" kindref="member">H1</ref>{</highlight></codeline>
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.family<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a346b81a32e7007eccadf60252bb599f0" kindref="member">Family::h1</ref>,</highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.continuity<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2ad2884efee751eb4746b685827c7efcd9" kindref="member">Continuity::continuous</ref>,</highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.trace<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aa2063c1608d6e0baf80249c42e2be5804" kindref="member">Trace::value</ref>,</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.mapping<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808eaff483d1ff591898a9942916050d2ca3f" kindref="member">Mapping::identity</ref></highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="123"><highlight class="normal"></highlight></codeline>
<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>SpaceDescriptor<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a1e28519eef37d87e0c603954989beede" kindref="member">Hdiv</ref>{</highlight></codeline>
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.family<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a6e8f220388195916569b1090b37f1586" kindref="member">Family::hdiv</ref>,</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.continuity<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2acc01e9d14a276e8d6043cfb93afdec02" kindref="member">Continuity::normal_continuous</ref>,</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.trace<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aafea087517c26fadd409bd4b9dc642555" kindref="member">Trace::normal</ref>,</highlight></codeline>
<codeline lineno="136"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.mapping<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808eab0ecbc62272a71e2181b8a0a5db8819a" kindref="member">Mapping::contravariant_piola</ref></highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="138"><highlight class="normal"></highlight></codeline>
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>SpaceDescriptor<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a6afd1fc9bf5a38d45b118feccb59bc9f" kindref="member">Hcurl</ref>{</highlight></codeline>
<codeline lineno="148"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.family<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a7536ab19fae96565f170bdf0d44fb47f" kindref="member">Family::hcurl</ref>,</highlight></codeline>
<codeline lineno="149"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.continuity<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2a5cef5968318cec98376e690990d97521" kindref="member">Continuity::tangential_continuous</ref>,</highlight></codeline>
<codeline lineno="150"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.trace<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82aaeee008e363b3d7a6ceb8a6ce8eec1214" kindref="member">Trace::tangential</ref>,</highlight></codeline>
<codeline lineno="151"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>.mapping<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808ea4235da30cc45a142b5ce7761ac3fbc8f" kindref="member">Mapping::covariant_piola</ref></highlight></codeline>
<codeline lineno="152"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="153"><highlight class="normal"></highlight></codeline>
<codeline lineno="163"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;SpaceDescriptor<sp/>Space,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>Order,<sp/>std::</highlight><highlight class="keywordtype">size_t</highlight><highlight class="normal"><sp/>R&gt;</highlight></codeline>
<codeline lineno="164" refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space" kindref="compound">DiscreteFunctionalSpace</ref><sp/>{</highlight></codeline>
<codeline lineno="165"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static_assert</highlight><highlight class="normal">(Order<sp/>&gt;=<sp/>0,<sp/></highlight><highlight class="stringliteral">&quot;Finite-element<sp/>family<sp/>order<sp/>must<sp/>be<sp/>non-negative.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="166"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static_assert</highlight><highlight class="normal">((Space.family<sp/>!=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a6e8f220388195916569b1090b37f1586" kindref="member">Family::hdiv</ref><sp/>&amp;&amp;<sp/>Space.family<sp/>!=<sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594a7536ab19fae96565f170bdf0d44fb47f" kindref="member">Family::hcurl</ref>)<sp/>||<sp/>R<sp/>==<sp/>1,<sp/></highlight><highlight class="stringliteral">&quot;H(div)<sp/>and<sp/>H(curl)<sp/>spaces<sp/>must<sp/>be<sp/>vector-valued.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="167"><highlight class="normal"></highlight></codeline>
<codeline lineno="168"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor" kindref="compound">SpaceDescriptor</ref><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space_1afbd7e2685679147cf70b3d91786d147d" kindref="member">functional_space</ref><sp/>=<sp/>Space;</highlight></codeline>
<codeline lineno="169"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">static</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space_1afc7f0cb4ea0898a0c1f4bfbf6299847e" kindref="member">order</ref><sp/>=<sp/>Order;</highlight></codeline>
<codeline lineno="170"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space_1a73fea6dea89301188799614a70a62f13" kindref="member">rank</ref><sp/>=<sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_rank" kindref="compound">Rank&lt;R&gt;</ref>;</highlight></codeline>
<codeline lineno="171"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="172"><highlight class="normal">}</highlight></codeline>
<codeline lineno="173"><highlight class="normal"></highlight></codeline>
<codeline lineno="177"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;std::</highlight><highlight class="keywordtype">size_t</highlight><highlight class="normal"><sp/>R&gt;</highlight></codeline>
<codeline lineno="178" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_rank_3_01_r_01_4_01_4" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::Rank&lt;R&gt;&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="179"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="180"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_rank_3_01_r_01_4_01_4_1a6dd0542cc6fa7e518e8c0bebdd793276" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_rank" kindref="compound">serif::discretization::functional_space::Rank&lt;R&gt;</ref>&amp;<sp/></highlight><highlight class="comment">/*rank*/</highlight><highlight class="normal">,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</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/>(R<sp/>==<sp/>0)<sp/>{</highlight></codeline>
<codeline lineno="182"><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::formatter&lt;std::string&gt;::format(</highlight><highlight class="stringliteral">&quot;Scalar&quot;</highlight><highlight class="normal">,<sp/>ctx);</highlight></codeline>
<codeline lineno="183"><highlight class="normal"><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/>(R<sp/>==<sp/>1)<sp/>{</highlight></codeline>
<codeline lineno="184"><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::formatter&lt;std::string&gt;::format(</highlight><highlight class="stringliteral">&quot;Vector&quot;</highlight><highlight class="normal">,<sp/>ctx);</highlight></codeline>
<codeline lineno="185"><highlight class="normal"><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/>(R<sp/>&gt;=2)<sp/>{</highlight></codeline>
<codeline lineno="186"><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::formatter&lt;std::string&gt;::format(</highlight><highlight class="stringliteral">&quot;Rank<sp/>&quot;</highlight><highlight class="normal"><sp/>+<sp/>std::to_string(R)<sp/>+<sp/></highlight><highlight class="stringliteral">&quot;<sp/>tensor&quot;</highlight><highlight class="normal">,<sp/>ctx);</highlight></codeline>
<codeline lineno="187"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="188"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="189"><highlight class="normal">};</highlight></codeline>
<codeline lineno="190"><highlight class="normal"></highlight></codeline>
<codeline lineno="194"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;&gt;</highlight></codeline>
<codeline lineno="195" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_space_descriptor_01_4" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::SpaceDescriptor&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="196"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="197"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_space_descriptor_01_4_1a9c0a46a0d2a04d69b10618a1a416f44d" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor" kindref="compound">serif::discretization::functional_space::SpaceDescriptor</ref>&amp;<sp/>space,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="198"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::formatter&lt;std::string&gt;::format(std::format(</highlight><highlight class="stringliteral">&quot;SpaceDescriptor(family={},<sp/>continuity={},<sp/>trace={},<sp/>mapping={})&quot;</highlight><highlight class="normal">,</highlight></codeline>
<codeline lineno="199"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1ac6251caa4914cace463f8fa5540ce62b" kindref="member">serif::discretization::functional_space::Family2StringMap</ref>.at(space.<ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1acf8b1a5cf45c2913989469246bb719ed" kindref="member">family</ref>),</highlight></codeline>
<codeline lineno="200"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a7d451c2e915be9ade5a07defcd73abce" kindref="member">serif::discretization::functional_space::Continuity2StringMap</ref>.at(space.<ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1a71cf17642b52bb4dd44e7b070319066c" kindref="member">continuity</ref>),</highlight></codeline>
<codeline lineno="201"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a18663ffb899c4de2f5d2737cb0db0817" kindref="member">serif::discretization::functional_space::Trace2StringMap</ref>.at(space.<ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1a931bc61be3ebf6d224dc363b0ca2d87e" kindref="member">trace</ref>),</highlight></codeline>
<codeline lineno="202"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1ab5695c611247978a6ff657bc36419236" kindref="member">serif::discretization::functional_space::Mapping2StringMap</ref>.at(space.<ref refid="structserif_1_1discretization_1_1functional__space_1_1_space_descriptor_1a76f1256d68801da7cd4c68df6e040fe0" kindref="member">mapping</ref>)),<sp/>ctx);</highlight></codeline>
<codeline lineno="203"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="204"><highlight class="normal">};</highlight></codeline>
<codeline lineno="205"><highlight class="normal"></highlight></codeline>
<codeline lineno="209"><highlight class="normal"></highlight><highlight class="comment">//<sp/>formatter<sp/>for<sp/>DiscreteFunctionalSpace</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="210"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;serif::discretization::functional_space::SpaceDescriptor<sp/>Space,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>Order,<sp/>std::</highlight><highlight class="keywordtype">size_t</highlight><highlight class="normal"><sp/>R&gt;</highlight></codeline>
<codeline lineno="211" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_discrete_functional_78b19b6a039d41c9bd4413cbbc536dbd" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::DiscreteFunctionalSpace&lt;Space,<sp/>Order,<sp/>R&gt;&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="212"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="213"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_discrete_functional_78b19b6a039d41c9bd4413cbbc536dbd_1a608de04692a50726a1da8c0bb489f955" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space" kindref="compound">serif::discretization::functional_space::DiscreteFunctionalSpace&lt;Space, Order, R&gt;</ref>&amp;<sp/>space,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="214"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::formatter&lt;std::string&gt;::format(std::format(</highlight><highlight class="stringliteral">&quot;DiscreteFunctionalSpace(functional_space={},<sp/>order={},<sp/>rank={})&quot;</highlight><highlight class="normal">,</highlight></codeline>
<codeline lineno="215"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>space.<ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space_1afbd7e2685679147cf70b3d91786d147d" kindref="member">functional_space</ref>,</highlight></codeline>
<codeline lineno="216"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>space.<ref refid="structserif_1_1discretization_1_1functional__space_1_1_discrete_functional_space_1afc7f0cb4ea0898a0c1f4bfbf6299847e" kindref="member">order</ref>,</highlight></codeline>
<codeline lineno="217"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1discretization_1_1functional__space_1_1_rank" kindref="compound">serif::discretization::functional_space::Rank&lt;R&gt;</ref>{}),<sp/>ctx);</highlight></codeline>
<codeline lineno="218"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="219"><highlight class="normal">};</highlight></codeline>
<codeline lineno="220"><highlight class="normal"></highlight></codeline>
<codeline lineno="224"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;&gt;</highlight></codeline>
<codeline lineno="225" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_family_01_4" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::Family&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="226"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="227"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_family_01_4_1a020c7e92d83ea4398ff156235cbf3dc1" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a9cef5bcb37ac268d2f0f2053433f8594" kindref="member">serif::discretization::functional_space::Family</ref>&amp;<sp/>family,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="228"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::formatter&lt;std::string&gt;::format(<ref refid="namespaceserif_1_1discretization_1_1functional__space_1ac6251caa4914cace463f8fa5540ce62b" kindref="member">serif::discretization::functional_space::Family2StringMap</ref>.at(family),<sp/>ctx);</highlight></codeline>
<codeline lineno="229"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="230"><highlight class="normal">};</highlight></codeline>
<codeline lineno="231"><highlight class="normal"></highlight></codeline>
<codeline lineno="235"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;&gt;</highlight></codeline>
<codeline lineno="236" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_continuity_01_4" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::Continuity&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="237"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="238"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_continuity_01_4_1a0eb559cf99c473e7ab8a0af0049751f2" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a4a023144b19edc1f9083dbfc4634fdd2" kindref="member">serif::discretization::functional_space::Continuity</ref>&amp;<sp/>continuity,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="239"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::formatter&lt;std::string&gt;::format(<ref refid="namespaceserif_1_1discretization_1_1functional__space_1a7d451c2e915be9ade5a07defcd73abce" kindref="member">serif::discretization::functional_space::Continuity2StringMap</ref>.at(continuity),<sp/>ctx);</highlight></codeline>
<codeline lineno="240"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="241"><highlight class="normal">};</highlight></codeline>
<codeline lineno="242"><highlight class="normal"></highlight></codeline>
<codeline lineno="246"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;&gt;</highlight></codeline>
<codeline lineno="247" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_trace_01_4" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::Trace&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="248"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="249"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_trace_01_4_1a70bde2bfc786f9a6be8d5ca78a4d1280" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1a128c56423cc3d7e8877c6e21df58b82a" kindref="member">serif::discretization::functional_space::Trace</ref>&amp;<sp/>trace,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="250"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::formatter&lt;std::string&gt;::format(<ref refid="namespaceserif_1_1discretization_1_1functional__space_1a18663ffb899c4de2f5d2737cb0db0817" kindref="member">serif::discretization::functional_space::Trace2StringMap</ref>.at(trace),<sp/>ctx);</highlight></codeline>
<codeline lineno="251"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="252"><highlight class="normal">};</highlight></codeline>
<codeline lineno="253"><highlight class="normal"></highlight></codeline>
<codeline lineno="257"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;&gt;</highlight></codeline>
<codeline lineno="258" refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_mapping_01_4" refkind="compound"><highlight class="normal"></highlight><highlight class="keyword">struct<sp/></highlight><highlight class="normal">std::formatter&lt;<ref refid="namespaceserif" kindref="compound">serif</ref>::discretization::functional_space::Mapping&gt;<sp/>:<sp/>std::formatter&lt;std::string&gt;<sp/>{</highlight></codeline>
<codeline lineno="259"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>FormatContext&gt;</highlight></codeline>
<codeline lineno="260"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="structstd_1_1formatter_3_01serif_1_1discretization_1_1functional__space_1_1_mapping_01_4_1adff2defec21a622be6f9c7aa5d961ba3" kindref="member">format</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1discretization_1_1functional__space_1af7d4ffb524e01c1524394bf2d128808e" kindref="member">serif::discretization::functional_space::Mapping</ref>&amp;<sp/>mapping,<sp/>FormatContext&amp;<sp/>ctx)</highlight><highlight class="keyword"><sp/>const<sp/></highlight><highlight class="normal">{</highlight></codeline>
<codeline lineno="261"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::formatter&lt;std::string&gt;::format(<ref refid="namespaceserif_1_1discretization_1_1functional__space_1ab5695c611247978a6ff657bc36419236" kindref="member">serif::discretization::functional_space::Mapping2StringMap</ref>.at(mapping),<sp/>ctx);</highlight></codeline>
<codeline lineno="262"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="263"><highlight class="normal">};</highlight></codeline>
    </programlisting>
    <location file="src/include/serif/discretization/functional_space/space.hpp"/>
  </compounddef>
</doxygen>