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)

docs/latex/harmonics_8cpp.tex

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+\doxysection{src/lib/serif/geometry/deformation/harmonics.cpp File Reference}
+\hypertarget{harmonics_8cpp}{}\label{harmonics_8cpp}\index{src/lib/serif/geometry/deformation/harmonics.cpp@{src/lib/serif/geometry/deformation/harmonics.cpp}}
+{\ttfamily \#include "{}serif/geometry/deformation/detail/harmonics.\+hpp"{}}\newline
+{\ttfamily \#include $<$algorithm$>$}\newline
+{\ttfamily \#include $<$cmath$>$}\newline
+{\ttfamily \#include $<$cstdint$>$}\newline
+{\ttfamily \#include $<$limits$>$}\newline
+{\ttfamily \#include $<$numbers$>$}\newline
+Include dependency graph for harmonics.\+cpp\+:\nopagebreak
+\begin{figure}[H]
+\begin{center}
+\leavevmode
+\includegraphics[width=350pt]{harmonics_8cpp__incl}
+\end{center}
+\end{figure}
+\doxysubsubsection*{Namespaces}
+\begin{DoxyCompactItemize}
+\item 
+namespace \mbox{\hyperlink{namespaceserif}{serif}}
+\item 
+namespace \mbox{\hyperlink{namespaceserif_1_1geometry}{serif\+::geometry}}
+\item 
+namespace \mbox{\hyperlink{namespaceserif_1_1geometry_1_1deformation}{serif\+::geometry\+::deformation}}
+\item 
+namespace \mbox{\hyperlink{namespaceserif_1_1geometry_1_1deformation_1_1detail}{serif\+::geometry\+::deformation\+::detail}}
+\end{DoxyCompactItemize}
+\doxysubsubsection*{Functions}
+\begin{DoxyCompactItemize}
+\item 
+std\+::expected$<$ std\+::vector$<$ \mbox{\hyperlink{structserif_1_1geometry_1_1deformation_1_1_spherical_harmonic_mode}{Spherical\+Harmonic\+Mode}} $>$, \mbox{\hyperlink{structserif_1_1geometry_1_1deformation_1_1_deformation_failure}{Deformation\+Failure}} $>$ \mbox{\hyperlink{namespaceserif_1_1geometry_1_1deformation_1_1detail_a2b90b4a4ff8a4b85379079d55b2eb3b1}{serif\+::geometry\+::deformation\+::detail\+::make\+\_\+harmonic\+\_\+modes}} (const \mbox{\hyperlink{structserif_1_1geometry_1_1deformation_1_1_spherical_harmonic_surface}{Spherical\+Harmonic\+Surface}} \&model, std\+::size\+\_\+t node\+\_\+count)
+\begin{DoxyCompactList}\small\item\em Validate harmonic cutoffs before allocating a basis or enumerating modes. \end{DoxyCompactList}\item 
+std\+::expected$<$ std\+::vector$<$ double $>$, \mbox{\hyperlink{structserif_1_1geometry_1_1deformation_1_1_deformation_failure}{Deformation\+Failure}} $>$ \mbox{\hyperlink{namespaceserif_1_1geometry_1_1deformation_1_1detail_a02c8c6fceb651f31e86585b8a794562a}{serif\+::geometry\+::deformation\+::detail\+::sample\+\_\+harmonic\+\_\+basis}} (const \mbox{\hyperlink{structserif_1_1geometry_1_1deformation_1_1_spherical_harmonic_surface}{Spherical\+Harmonic\+Surface}} \&model, std\+::span$<$ const \mbox{\hyperlink{structserif_1_1geometry_1_1deformation_1_1_spherical_harmonic_mode}{Spherical\+Harmonic\+Mode}} $>$ modes, std\+::span$<$ const std\+::array$<$ double, 3 $>$ $>$ directions)
+\begin{DoxyCompactList}\small\item\em Use normalized Legendre recurrence to avoid factorial growth while preserving the Condon–\+Shortley phase. \end{DoxyCompactList}\item 
+\mbox{\hyperlink{namespaceserif_1_1geometry_1_1deformation_a08306ee593c172f4877facc061e98f97}{Deformation\+Status}} \mbox{\hyperlink{namespaceserif_1_1geometry_1_1deformation_1_1detail_a7628b540a8b43925a269627be0e1f8a7}{serif\+::geometry\+::deformation\+::detail\+::check\+\_\+independent\+\_\+harmonics}} (std\+::span$<$ const double $>$ basis, std\+::size\+\_\+t node\+\_\+count, std\+::size\+\_\+t mode\+\_\+count)
+\begin{DoxyCompactList}\small\item\em Check sampled rank on a private copy, leaving physical coefficients and basis normalization unchanged. \end{DoxyCompactList}\end{DoxyCompactItemize}