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MeanField_SERiF/docs/latex/namespaceserif_1_1equations.tex
Emily Boudreaux 6b57738330 docs(docs): built docs
Note for now much of the docs is LLM written. This was done to save time and focus on code development. The docs have been LOOSLEY reviewed. However, the code itself has been either fully written by hand or fully reviewed. Therefore, the docs should at the moment be seen as a loose resource rather than authoratiative (and this is on top of the general ability for docs to drift)
2026-11-09 14:09:44 -05:00

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\doxysection{serif\+::equations Namespace Reference}
\hypertarget{namespaceserif_1_1equations}{}\label{namespaceserif_1_1equations}\index{serif::equations@{serif::equations}}
\doxysubsubsection*{Classes}
\begin{DoxyCompactItemize}
\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_angular_momentum_constraint}{Angular\+Momentum\+Constraint}}
\begin{DoxyCompactList}\small\item\em Angular momentum constraint equation, which enforces a global constraint on the total angular momentum of a system. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_barotropic_density_balance}{Barotropic\+Density\+Balance}}
\begin{DoxyCompactList}\small\item\em Enforce A(rho) -\/ A(rho\+\_\+surface) + Phi -\/ Omega\texorpdfstring{$^\wedge$}{\string^}2 Psi -\/ U\+\_\+surface = 0 using density test values. This closure assumes a connected barotrope in rigid rotation. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_barycenter_constraint}{Barycenter\+Constraint}}
\begin{DoxyCompactList}\small\item\em Fix one component of integral rho (x-\/center)/\+M\+\_\+target. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contribution}{Contribution}}
\begin{DoxyCompactList}\small\item\em A helper struct for authoring equations with fewer lines of boiler-\/plate. The idea here is that every equation must report certain members so that the backend can inspect at compile time. An author could certainly write these members themselves, but the \doxylink{structserif_1_1equations_1_1_contribution}{Contribution} struct auto generates those members based on its template parameters. Therefore, by inheriting from the \doxylink{structserif_1_1equations_1_1_contribution}{Contribution} struct an equation author can avoid writing those members themselves. Note that while this is inheritance it is still a compile-\/time relation. \doxylink{structserif_1_1equations_1_1_contribution}{Contribution} does not add any runtime overhead to the equation. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contributions}{Contributions}}
\begin{DoxyCompactList}\small\item\em Helper struct to pack a list of contributions into a tuple. This is used to define the set of contributions of an equation. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contributions_3_01_t_00_01std_1_1void__t_3_01decltype_07std_1_1decl671b42e5568b3715d07217eb0f34ce32}{Contributions$<$ T, std\+::void\+\_\+t$<$ decltype(std\+::declval$<$ const T \& $>$().\+contributions())$>$ $>$}}
\begin{DoxyCompactList}\small\item\em Specialization of \doxylink{structserif_1_1equations_1_1_contributions}{Contributions} for types that have the contributions() method. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contribution_support}{Contribution\+Support}}
\begin{DoxyCompactList}\small\item\em Helper alias to extract the support type for a given contribution. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contribution_support_3_01_t_00_01std_1_1void__t_3_01typename_01_t_1_1_support_01_4_01_4}{Contribution\+Support$<$ T, std\+::void\+\_\+t$<$ typename T\+::\+Support $>$ $>$}}
\begin{DoxyCompactList}\small\item\em Specialization of \doxylink{structserif_1_1equations_1_1_contribution_support}{Contribution\+Support} for types that have a Support member type. This allows us to extract the support type from contributions or equations that define a Support type. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contribution_tuple}{Contribution\+Tuple}}
\begin{DoxyCompactList}\small\item\em Type representing the contributions of an equation. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_contribution_tuple_3_01std_1_1tuple_3_01_ts_8_8_8_01_4_00_01std_1_1e282a2c4b2ce56d3b5a3d2dda19385da}{Contribution\+Tuple$<$ std\+::tuple$<$ Ts... $>$, std\+::void\+\_\+t$<$ decltype(std\+::tuple\+\_\+cat(std\+::declval$<$ typename Contributions$<$ std\+::remove\+\_\+cvref\+\_\+t$<$ Ts $>$ $>$\+::type $>$()...))$>$ $>$}}
\begin{DoxyCompactList}\small\item\em Specialization of \doxylink{structserif_1_1equations_1_1_contribution_tuple}{Contribution\+Tuple} for tuples of contributions. This allows us to extract the contributions from a tuple of contributions. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_equation_point}{Equation\+Point}}
\begin{DoxyCompactList}\small\item\em A struct to represent the values of operands at a given point in space. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_equation_registry}{Equation\+Registry}}
\begin{DoxyCompactList}\small\item\em A compile-\/time registry of equations. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_mass_normalization}{Mass\+Normalization}}
\begin{DoxyCompactList}\small\item\em Mass normalization equation, which enforces a global constraint on the total mass of a system. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_operand_values}{Operand\+Values}}
\begin{DoxyCompactList}\small\item\em A helper struct to store the values of operands. There is some convention here, specifically if OutputT is void then this struct represents the values of the operands, otherwise it represents the local derivatives of the operands with respect to OutputT. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_operand_values_3_01utils_1_1types_1_1_type_list_3_01_operands_8_8_8_01_4_00_01_output_t_01_4}{Operand\+Values$<$ utils\+::types\+::\+Type\+List$<$ Operands... $>$, Output\+T $>$}}
\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_point_linearization}{Point\+Linearization}}
\begin{DoxyCompactList}\small\item\em A struct to represent the linearization of a pointwise equation at a given point in space. This includes the residual and the local derivatives of the operands with respect to the test operand value, as well as the local derivative of the test operand value with respect to position. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_point_mass_companion}{Point\+Mass\+Companion}}
\begin{DoxyCompactList}\small\item\em The potential -\/G M\+\_\+c/\texorpdfstring{$\vert$}{|}x -\/ x\+\_\+c\texorpdfstring{$\vert$}{|} of a point-\/mass companion outside the star. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_primal_poisson_balance}{Primal\+Poisson\+Balance}}
\begin{DoxyCompactList}\small\item\em Solve Delta(\+Phi) = 4 pi G rho with one conforming scalar potential field. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_rigid_rotation}{Rigid\+Rotation}}
\begin{DoxyCompactList}\small\item\em A class that implements rigid rotation, providing methods to compute the centrifugal potential, its gradient, and its Hessian. \end{DoxyCompactList}\item
class \mbox{\hyperlink{classserif_1_1equations_1_1_surface_potential_balance}{Surface\+Potential\+Balance}}
\begin{DoxyCompactList}\small\item\em Set the effective potential to one unknown level on the selected isobar. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_test_operand_traits}{Test\+Operand\+Traits}}
\begin{DoxyCompactList}\small\item\em A helper struct to extract the test operand type from a contribution or equation. This is used to determine the test type of an equation or contribution. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_test_operand_traits_3_01_t_00_01std_1_1void__t_3_01typename_01_t_1_1_test_operand_01_4_01_4}{Test\+Operand\+Traits$<$ T, std\+::void\+\_\+t$<$ typename T\+::\+Test\+Operand $>$ $>$}}
\begin{DoxyCompactList}\small\item\em Specialization of \doxylink{structserif_1_1equations_1_1_test_operand_traits}{Test\+Operand\+Traits} for types that have a Test\+Operand member type. This allows us to extract the test operand type from contributions or equations that define a Test\+Operand type. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_valid_contributions}{Valid\+Contributions}}
\begin{DoxyCompactList}\small\item\em A compile-\/time check to ensure that a tuple of contributions is valid for a given residual row type. This is the default false specialization. \end{DoxyCompactList}\item
struct \mbox{\hyperlink{structserif_1_1equations_1_1_valid_contributions_3_01_row_t_00_01std_1_1tuple_3_01_c_8_8_8_01_4_01_4}{Valid\+Contributions$<$ Row\+T, std\+::tuple$<$ C... $>$ $>$}}
\end{DoxyCompactItemize}
\doxysubsubsection*{Concepts}
\begin{DoxyCompactItemize}
\item
concept \mbox{\hyperlink{conceptserif_1_1equations_1_1_point_equation}{Point\+Equation}}
\begin{DoxyCompactList}\small\item\em A concept that defines the requirements for a pointwise equation. \end{DoxyCompactList}\item
concept \mbox{\hyperlink{conceptserif_1_1equations_1_1_equation}{Equation}}
\begin{DoxyCompactList}\small\item\em A concept that defines the requirements for a valid SERiF equation. \end{DoxyCompactList}\end{DoxyCompactItemize}
\doxysubsubsection*{Typedefs}
\begin{DoxyCompactItemize}
\item
{\footnotesize template$<$typename T$>$ }\\using \mbox{\hyperlink{namespaceserif_1_1equations_ab3b0f61ca51136b0ddf4d868ebdfd8df}{Test\+Operand\+Of}} = \mbox{\hyperlink{structserif_1_1equations_1_1_test_operand_traits}{Test\+Operand\+Traits}}$<$T$>$\+::type
\begin{DoxyCompactList}\small\item\em Helper alias to extract the test operand type from a contribution or equation. \end{DoxyCompactList}\item
{\footnotesize template$<$typename T$>$ }\\using \mbox{\hyperlink{namespaceserif_1_1equations_a7e2dbba73c1ee1b682885f1c178eb9f6}{Support\+Of}} = \mbox{\hyperlink{structserif_1_1equations_1_1_contribution_support}{Contribution\+Support}}$<$T$>$\+::type
\begin{DoxyCompactList}\small\item\em Helper alias to extract the support type for a given contribution. \end{DoxyCompactList}\item
{\footnotesize template$<$typename T$>$ }\\using \mbox{\hyperlink{namespaceserif_1_1equations_a3d8c1500d535f29fe360f0ab31ac55e3}{Contributions\+Of}} = \mbox{\hyperlink{structserif_1_1equations_1_1_contributions}{Contributions}}$<$std\+::remove\+\_\+cvref\+\_\+t$<$T$>$$>$\+::type
\begin{DoxyCompactList}\small\item\em Helper alias to extract the contributions (\doxylink{structserif_1_1equations_1_1_test_operand_traits}{type}) of some type T. \end{DoxyCompactList}\end{DoxyCompactItemize}
\doxysubsection{Typedef Documentation}
\Hypertarget{namespaceserif_1_1equations_a3d8c1500d535f29fe360f0ab31ac55e3}\index{serif::equations@{serif::equations}!ContributionsOf@{ContributionsOf}}
\index{ContributionsOf@{ContributionsOf}!serif::equations@{serif::equations}}
\doxysubsubsection{\texorpdfstring{ContributionsOf}{ContributionsOf}}
{\footnotesize\ttfamily \label{namespaceserif_1_1equations_a3d8c1500d535f29fe360f0ab31ac55e3}
template$<$typename T$>$ \\
using \mbox{\hyperlink{namespaceserif_1_1equations_a3d8c1500d535f29fe360f0ab31ac55e3}{serif\+::equations\+::\+Contributions\+Of}} = \mbox{\hyperlink{structserif_1_1equations_1_1_contributions}{Contributions}}$<$std\+::remove\+\_\+cvref\+\_\+t$<$T$>$$>$\+::type}
Helper alias to extract the contributions (\doxylink{structserif_1_1equations_1_1_test_operand_traits}{type}) of some type T.
\begin{DoxyTemplParams}{Template Parameters}
{\em T} & The type to extract the contributions from \\
\hline
\end{DoxyTemplParams}
\Hypertarget{namespaceserif_1_1equations_a7e2dbba73c1ee1b682885f1c178eb9f6}\index{serif::equations@{serif::equations}!SupportOf@{SupportOf}}
\index{SupportOf@{SupportOf}!serif::equations@{serif::equations}}
\doxysubsubsection{\texorpdfstring{SupportOf}{SupportOf}}
{\footnotesize\ttfamily \label{namespaceserif_1_1equations_a7e2dbba73c1ee1b682885f1c178eb9f6}
template$<$typename T$>$ \\
using \mbox{\hyperlink{namespaceserif_1_1equations_a7e2dbba73c1ee1b682885f1c178eb9f6}{serif\+::equations\+::\+Support\+Of}} = \mbox{\hyperlink{structserif_1_1equations_1_1_contribution_support}{Contribution\+Support}}$<$T$>$\+::type}
Helper alias to extract the support type for a given contribution.
\begin{DoxyTemplParams}{Template Parameters}
{\em T} & The type to extract the support type from \\
\hline
\end{DoxyTemplParams}
\Hypertarget{namespaceserif_1_1equations_ab3b0f61ca51136b0ddf4d868ebdfd8df}\index{serif::equations@{serif::equations}!TestOperandOf@{TestOperandOf}}
\index{TestOperandOf@{TestOperandOf}!serif::equations@{serif::equations}}
\doxysubsubsection{\texorpdfstring{TestOperandOf}{TestOperandOf}}
{\footnotesize\ttfamily \label{namespaceserif_1_1equations_ab3b0f61ca51136b0ddf4d868ebdfd8df}
template$<$typename T$>$ \\
using \mbox{\hyperlink{namespaceserif_1_1equations_ab3b0f61ca51136b0ddf4d868ebdfd8df}{serif\+::equations\+::\+Test\+Operand\+Of}} = \mbox{\hyperlink{structserif_1_1equations_1_1_test_operand_traits}{Test\+Operand\+Traits}}$<$T$>$\+::type}
Helper alias to extract the test operand type from a contribution or equation.
\begin{DoxyTemplParams}{Template Parameters}
{\em T} & The type to extract the test operand from \\
\hline
\end{DoxyTemplParams}