%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Thanks for your awesome work on the bot, guys! You rock <3
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Package options.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Functionality is the same as adding the options using `[]` before the package
% name, but this way ensures that there are no option clashes if a package is
% loaded more than once.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\PassOptionsToPackage{ T1 }{fontenc}
\PassOptionsToPackage{ utf8x, utf8 }{inputenc}

\PassOptionsToPackage{ a4paper }{geometry}
\PassOptionsToPackage{ indent }{parskip}

\PassOptionsToPackage{ sfdefault, ultralight }{FiraSans}

\PassOptionsToPackage{ ISO }{diffcoeff}
\PassOptionsToPackage{ abbreviations = false }{siunitx}
\PassOptionsToPackage{ version = 4 }{mhchem}

\PassOptionsToPackage{ x11names, table }{xcolor}

\PassOptionsToPackage{ autostyle }{csquotes}
\PassOptionsToPackage{ normalem }{ulem}

\PassOptionsToPackage{ english, french }{babel}
\PassOptionsToPackage{ colorlinks }{hyperref}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Ways to modify and add commands.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ letltxmacro }
\usepackage{ etoolbox }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Clone a command.
\newcommand*{\Let}{\LetLtxMacro}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Clone an environment.
\newcommand{\cloneEnv}[2]{% #1 is cloned into #2
\csletcs{#2}{#1}%
\csletcs{end#2}{end#1}%
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Add content to an existing command.
\newcommand{\prefixMacro}[2]{% #2 is command name, #1 is stuff to add
\csletcs{old@#2}{#2}%
\csdef{#2}{#1 \csuse{old@#2}}%
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Input and output specification.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ fontenc }
\usepackage{ inputenc }
\usepackage{ CJKutf8 }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Add CJ support by default.
\AtBeginDocument{\begin{CJK}{UTF8}{gkai}}
\AtEndDocument{\clearpage\end{CJK}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Page layout and font modifications.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ geometry }
\usepackage{ parskip }
\usepackage{ multicol }
\usepackage{ scrextend }
\usepackage{ anyfontsize }

%% Ignore all `\par` tokens until next letters, like `\ignorespaces`
\makeatletter
\long\def\eat#1{\ignorepars}
\def\ignorepars{\futurelet\next\@ignorepars}
\def\@ignorepars{\ifx\next\par\expandafter\eat\fi}
\makeatother

%% Make `parskip` and `parindent` adapt to the font size.
\makeatletter
\def\@parindent{ 1.5em }
\def\@parskip{ 0.6em plus 0.2em }
\def\resetParSpacing{\parindent\@parindent\parskip\@parskip}
\makeatother

%% New command to resize all text.
\newcommand*{\size}[1]{\KOMAoptions{ fontsize = #1 }\resetParSpacing}

%% Re-enable `\parindent`s and `\parskip`s
\patchcmd{\preview}
  {\ignorespaces} %%% \preview ends with \ignorespaces
  {\resetParSpacing\ignorespaces}
  {}{}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Glyph sets.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Text glyphs.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage[ sfdefault, ultralight ]{ FiraSans }
\input{ArtNouv.fd}
\input{GotIn.fd}
\input{GoudyIn.fd}
\input{Rothdn.fd}
\input{RoyalIn.fd}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Fira Sans changes and fixes.
\makeatletter
\renewcommand*{\oldstylenums}[1]{{\firaoldstyle #1}}
\renewcommand*{\upshape}{%
\not@math@alphabet\upshape\relax%
\fontshape\updefault\selectfont%
}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Add initials switches.
\makeatletter
\newcommand*{\@infamily}{GoudyIn}
\newcommand*{\setInit}[1]{\renewcommand*{\@infamily}{#1}}
\newcommand*{\infamily}{\usefont{U}{\@infamily}{xl}{n}}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Changes to the \ttfamily.
%%%%%%%%%%%%%%%%%%%%
%% Bold = normal.
\makeatletter
\DeclareFontFamily{T1}{cmtt}{\hyphenchar \font\m@ne}
\DeclareFontShape{T1}{cmtt}{m}{n}{
  <-9>    ectt0800
  <9-10>  ectt0900
  <10-12> ectt1000
  <12-17> ectt1200
  <17->   ectt1728
}{}
\DeclareFontShape{T1}{cmtt}{m}{it}{
  <-9>    ecit0800
  <9-10>  ecit0900
  <10-12> ecit1000
  <12-17> ecit1200
  <17->   ecit1728
}{}
\DeclareFontShape{T1}{cmtt}{m}{sl}{
  <-9>    ecst0800
  <9-10>  ecst0900
  <10-12> ecst1000
  <12-17> ecst1200
  <17->   ecst1728
}{}
\DeclareFontShape{T1}{cmtt}{m}{sc}{
  <-9>    ectc0800
  <9-10>  ectc0900
  <10-12> ectc1000
  <12-17> ectc1200
  <17->   ectc1728
}{}
\DeclareFontShape{T1}{cmtt}{bx}{n}{
  <-> ssub * cmtt/m/n
}{}
\DeclareFontShape{T1}{cmtt}{bx}{it}{
  <-> ssub * cmtt/m/it
}{}
\DeclareFontShape{T1}{cmtt}{bx}{sl}{
  <-> ssub * cmtt/m/sl
}{}
\DeclareFontShape{T1}{cmtt}{bx}{sc}{
  <-> ssub * cmtt/m/sc
}{}
%%%%%%%%%%%%%%%%%%%%
%% Small caps.
\Let\old@tt\ttfamily
\renewcommand*{\ttfamily}{\old@tt\scshape}
\makeatother


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Math glyphs.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ MnSymbol }
\usepackage{ mathrsfs }
\usepackage{ eufrak }
\DeclareSymbolFont{bbold}{U}{bbold}{m}{n}
\DeclareSymbolFontAlphabet{\mathbb}{bbold}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Utility macros.
\newcommand{\AddG}[2]{\DeclareMathSymbol{#1}{\mathalpha}{operators}{`#2}}
\newcommand{\Addg}[2]{\DeclareMathSymbol{#1}{\mathord}{bbold}{"#2}}
\makeatletter
\@onlypreamble\AddG
\@onlypreamble\Addg
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Add missing Greek uppercase letters.
\AddG{\Alpha}{A}
\AddG{\Beta}{B}
\AddG{\Epsilon}{E}
\AddG{\Zeta}{Z}
\AddG{\Eta}{H}
\AddG{\Iota}{I}
\AddG{\Kappa}{K}
\AddG{\Mu}{M}
\AddG{\Nu}{N}
\AddG{\Omicron}{O}
\AddG{\Rho}{P}
\AddG{\Tau}{T}
\AddG{\Upsilon}{Y}
\AddG{\Chi}{X}
\DeclareMathSymbol{\omicron}{\mathord}{letters}{`o}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Manually add blackboard glyphs.
\Addg{\bbalpha}{0B}
\Addg{\bbbeta}{0C}
\Addg{\bbgamma}{0D}
\Addg{\bbdelta}{0E}
\Addg{\bbepsilon}{0F}
\Addg{\bbzeta}{10}
\Addg{\bbeta}{11}
\Addg{\bbtheta}{12}
\Addg{\bbiota}{13}
\Addg{\bbkappa}{14}
\Addg{\bblambda}{15}
\Addg{\bbmu}{16}
\Addg{\bbnu}{17}
\Addg{\bbxi}{18}
\Addg{\bbomicron}{6F}
\Addg{\bbpi}{19}
\Addg{\bbrho}{1A}
\Addg{\bbsigma}{1B}
\Addg{\bbtau}{1C}
\Addg{\bbupsilon}{1D}
\Addg{\bbphi}{1E}
\Addg{\bbchi}{1F}
\Addg{\bbpsi}{20}
\Addg{\bbomega}{7F}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Global math modifications and improvements.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ mathtools }
\usepackage{ mleftright }
\usepackage{ IEEEtrantools }

%% Beautiful math everywhere.
\everymath{ \displaystyle }
%% Fix \left ... \right spacings
\mleftright
%% Enable `\(short)intertext` globally
\makeatletter\intertext@\makeatother
%% Switch between tags on left and right sides
\makeatletter
\newcommand{\lTags}{\tagsleft@true}
\newcommand{\rTags}{\tagsleft@false}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Make sub/superscripts better.
\makeatletter
\Let\old@sp\sp
\Let\old@sb\sb
\renewcommand{\sp}[1]{\ifmmode\old@sp{ \fam=-1 #1 }\else\textsuperscript{#1}\fi}
\renewcommand{\sb}[1]{\ifmmode\old@sb{ \fam=-1 #1 }\else\textsubscript{#1}\fi}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Shorthands for commonly-used stuff.
%%%%%%%%%%%%%%%%%%%%
%% Overlaps.
\Let\Llap\mathllap
\Let\Clap\mathclap
\Let\Rlap\mathrlap
%%%%%%%%%%%%%%%%%%%%
%% Substacks.
\newcommand{\Lstack}[1]{\begin{subarray}{l} #1 \end{subarray}}
\newcommand{\Cstack}[1]{\begin{subarray}{c} #1 \end{subarray}}
\newcommand{\Rstack}[1]{\begin{subarray}{r} #1 \end{subarray}}
%%%%%%%%%%%%%%%%%%%%
%% IEEEeqnarrays.
\cloneEnv{IEEEeqnarray}{eqn}
\cloneEnv{IEEEeqnarray*}{eqn*}
\cloneEnv{IEEEeqnarraybox}{eqnbox}
\cloneEnv{IEEEeqnarraybox*}{eqnbox*}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Make brackets behave better.
\makeatletter
\def\@BracContents{}% Globally define the bracket contents to be none
\newcommand{\@BracKern}{\kern-\nulldelimiterspace}% Removes additional whitespace
%
%%%%%%%%%%%%%%%%%%%%
%% Main command.
\newcommand{\Brac}[3]{% #1,#3 = left/right bracket type
\begingroup%
\def\@BracContents{#2}
\mathopen{ \left#1 \vphantom{#2} \@BracKern \right. }% left bracket
#2% content
\mathclose{ \left. \@BracKern \vphantom{#2} \right#3 }% right bracket
\endgroup%
}
%%%%%%%%%%%%%%%%%%%%
%% \middle anywhere!
\Let\old@middle\middle
\renewcommand{\middle}[1]{%
\nonscript\;%
\ifnum\currentgrouptype = 16%
  \old@middle#1%
\else%
  \@middle#1%
\fi%
\nonscript\;%
}
\newcommand{\@middle}[1]{%
{%
\Let\middle\@empty% neutralize \middle inside \@Braccontents
\left. \@BracKern% fake \left
\vphantom{\@BracContents}% set size
\old@middle#1% thing to typeset
\right.\@BracKern% fake \right
}%
}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Boxed expression anywhere.
%% To be completed so that it can be used in IEEEeqnarray
\newcommand{\boxeq}[1]{%
\boxed{ #1 }%
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Fix thickness of the `\underbracket`s.
\makeatletter
\MHInternalSyntaxOn
\def\upbracketfill#1#2{%
  \edef\l_MT_bracketheight_fdim{\the\dimexpr 2\fontdimen8\textfont3}%
  \upbracketend{#1}{#2}%
  \leaders \vrule \@height \z@ \@depth #1 \hfill
  \upbracketend{#1}{#2}%
}
\MHInternalSyntaxOff\showthe\catcode`@
\makeatother


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Additional math macros and symbols.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Brackets and other extensible symbols.
\newcommand{\Rbrac}[1]{\Brac({ #1 })}
\newcommand{\Sbrac}[1]{\Brac[{ #1 }]}
\newcommand{\Cbrac}[1]{\Brac\{{ #1 }\}}
\newcommand{\Abrac}[1]{\Brac\langle{ #1 }\rangle}
\newcommand{\abs}[1]{\Brac\lvert{ #1 }\rvert}
\newcommand{\norm}[1]{\Brac\lVert{ #1 }\rVert}
\newcommand{\floor}[1]{\Brac\lfloor{ #1 }\rfloor}
\newcommand{\ceil}[1]{\Brac\lceil{ #1 }\rceil}
\newcommand{\pair}[2]{\Rbrac{ #1, #2 }}
\newcommand{\bra}[1]{\Brac\langle{ #1 }\rvert}
\newcommand{\ket}[1]{\Brac\lvert{ #1 }\rangle}
\newcommand{\braket}[2]{\Abrac{ #1 \middle\mvert #2 }}
\newcommand{\ketbra}[2]{\ket{ #1 }\bra{ #2 }}
\newcommand{\braopket}[3]{\Abrac{ #1 \middle\mvert #2 \middle\mvert #3 }}\newcommand{\expect}[1]{\Abrac{ #1 }}
%
\newcommand{\oSbrac}[2]{\mathord{ \overbracket{ #1 }\sp{ \Clap{ \text{#2} } } }}
\newcommand{\uSbrac}[2]{\mathord{ \underbracket{ #1 }\sb{ \Clap{ \text{#2} } } }}
\newcommand{\oCbrac}[2]{\mathord{ \overbrace{ #1 }\sp{ \Clap{ \text{#2} } } }}
\newcommand{\uCbrac}[2]{\mathord{ \underbrace{ #1 }\sb{ \Clap{ \text{#2} } } }}
%
\makeatletter
\def\eval@[#1][#2]#3{%
\Brac.{ #3 }\rvert_{ #1 }^{ #2 }%
}
\def\@eval[#1]{\@ifnextchar[%
{\eval@[#1]}%
{\eval@[#1][\relax]}%
}
\def\eval{\@ifnextchar[%
{\@eval}%
{\@eval[\relax]}%
}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Name aliases for easier writing.
%%%%%%%%%%%%%%%%%%%%
%% Relations.
\newcommand{\defeq}{\mathrel{ \coloneq }}
%
\newcommand{\suchthat}{\mathord{ \middle\mvert }}
\Let\given\suchthat
%%%%%%%%%%%%%%%%%%%%
%% Binary operators.
\Let\xtimes\times
\renewcommand{\times}{\mathbin{ \cdot }}
%%%%%%%%%%%%%%%%%%%%
%% Symbols.
%%%%%%%%%%
%%% Calc.
\DeclareMathSymbol{\diffSymb}{\mathord}{operators}{`d}
%%%%%%%%%%
%%% Sets.
\newcommand{\inter}{\mathrel{ \cap }}
\newcommand{\union}{\mathrel{ \cup }}
%
\newcommand{\compl}[1]{\mathord{ #1^{ \complement } }}
%%%%%%%%%%
%%% Stats.
\DeclareMathSymbol{\var}{\mathord}{letters}{`x}
\DeclareMathSymbol{\Rvar}{\mathord}{letters}{`X}
\DeclareMathSymbol{\stdRvar}{\mathord}{letters}{`Z}
%
\DeclareMathSymbol{\NdistSymb}{\mathord}{letters}{`N}
\newcommand{\Ndist}[2]{\operatorname{ \NdistSymb } \pair{ #1 }{ #2 }}
\newcommand{\mean}{\mathord{ \mu }}
\newcommand{\SD}{\mathord{ \sigma }}
\newcommand{\variance}{\SD\sp{ 2 }}
%
\DeclareMathSymbol{\probSymb}{\mathord}{operators}{`p}
\newcommand{\Prob}[1]{\operatorname{ \probSymb } \Rbrac{ #1 }}
\newcommand{\stdProb}[1]{\operatorname{ \Phi } \Rbrac{ #1 }}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Formal notation.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ xfrac }
\usepackage{ diffcoeff }
\usepackage{ esvect }
\usepackage{ siunitx }
\usepackage{ mhchem }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Make `\sfrac` look nice.
\makeatletter
\DeclareInstance{xfrac}{\fira@family}{text}{
  denominator-bot-sep = 0.02em,
  slash-right-kern = -0.05em,
  slash-left-kern = -0.05em
}
\DeclareInstance{xfrac}{mathdefault}{math}{
  numerator-top-sep = 0.2ex,
  slash-right-mkern = -2mu
}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% `diffcoeff` setup and modifications.
%% We need to change each one since they don't inherit from one another :(
\diffdef{}{
  op-symbol = \diffSymb,
  op-order-sep = 0mu,
  subscr-nudge = 0mu,
  long-var-wrap = (dv),
  /-left-delim = \left.,
  /-right-delim = \right\rvert
}
\diffdef{p}{
  subscr-nudge = 0mu,
  long-var-wrap = (dv),
  /-left-delim = \left(,
  /-right-delim = \right)
}
\diffdef{D}{
  subscr-nudge = 0mu,
  long-var-wrap = (dv),
  /-left-delim = \left.,
  /-right-delim = \right\rvert
}
\diffdef{delta}{
  subscr-nudge = 0mu,
  long-var-wrap = (dv),
  /-left-delim = \left.,
  /-right-delim = \right\rvert
}
\diffdef{Delta}{
  op-order-sep = -2mu,
  subscr-nudge = 0mu,
  long-var-wrap = (dv),
  /-left-delim = \left.,
  /-right-delim = \right\rvert
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% `siunitx` declarations.
%% Same behavior as `\ce` from `mhchem`.
\sisetup{
  detect-all,
  math-sf = \mathrm% hack since `\siunitx` thinks that math is also in sans serif.
}
%% Unit specifications.
%\DeclareSIUnit{\molar}{\mole\per\deci\metre\cubed}
\DeclareSIUnit{\molar}{M}
\DeclareSIUnit{\litre}{\liter}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Drawings and graphisms.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ xcolor }
\usepackage{ graphicx }
\usepackage{ tikz }
\usepackage{ chemfig }
\usepackage{ pgfplots }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% `tikz` preparation.
\usetikzlibrary{
  calc,
  arrows.meta,
  decorations.markings,
  patterns.meta,
  bending
}
%% Make the `calc` library usable (doesn't work unless `$` is of catcode 3).
\prefixMacro{\catcode`\$ 3}{tikz@startup@env}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Settings for `chemfig`.
\setchemfig{
  atom sep = 4em,
  angle increment = 30,
  scheme debug = true
}
\setcharge{ debug = true }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Settings for `pgfplots`.
\pgfplotsset{
  compat = 1.17,
  width = \linewidth,
  xlabel = \( x \),
  ylabel = \( y \),
  grid = major,
  clip = false,
  colormap name = viridis,
  3D/.style = {
    zlabel = \( z \),
    shader = faceted interp,
    z buffer = sort,
    3d box,
    every axis plot/.style = {
      surf,
      opacity = 0.7,
    },
  },
  2D/.style = {
    axis lines = middle,
    every axis plot/.style = {
      mesh,
      very thick,
      opacity = 0.7,
    },
  },
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Typesetting.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Tables.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ array }
\usepackage{ booktabs }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Column type declarations.
\newcolumntype{T}{>{\bfseries}{c}}
\newcolumntype{U}{>{\ttfamily}{r}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Fillers.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ mwe }% Loads lipsum, blindtext and graphicx

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Extensions to basic LaTeX typesetting.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ comment }
\usepackage{ csquotes }
\usepackage{ enumitem }
\usepackage{ wrapfig }
\usepackage{ ulem }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% `enumitem` settings.
\setlist[itemize]{
  label = {\( \bullet \)}
}
%% Special `enumitem` page layout (to take less space)
\SetEnumitemKey{rCol}{ before* = {\raggedcolumns} }
\SetEnumitemKey{fCol}{ before* = {\flushcolumns} }
%
\SetEnumitemKey{1Col}{
  before* = {},
  after* = {},
}
\SetEnumitemKey{2Col}{
  before* = \begin{multicols}{2},
  after* = \end{multicols},
}
\SetEnumitemKey{3Col}{
  before* = \begin{multicols}{3},
  after* = \end{multicols},
}
\SetEnumitemKey{4Col}{
  before* = \begin{multicols}{4},
  after* = \end{multicols},
}
\SetEnumitemKey{5Col}{
  before* = \begin{multicols}{5},
  after* = \end{multicols},
}
\SetEnumitemKey{6Col}{
  before* = \begin{multicols}{6},
  after* = \end{multicols},
}
\SetEnumitemKey{7Col}{
  before* = \begin{multicols}{7},
  after* = \end{multicols},
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Prettier `\maketitle`.
\makeatletter
\def\@maketitle{%
  \begingroup\size{ 1.3em }%
  \newpage
  \null
  \vskip 2em%
  \begin{center}%
  \let \footnote \thanks
    {\LARGE\bfseries \@title \par}%
    \vskip 1.5em%
    {\normalsize
      \lineskip .5em%
      \begin{tabular}[t]{c}%
        \@author
      \end{tabular}\par}%
    \vskip 1em%
    {\normalsize \@date}%
  \end{center}%
  \par
  \vskip 1.5em%
  \endgroup}
\makeatother

%% Add starred version for `\emph`.
\makeatletter
\Let\old@emph\emph
\renewcommand{\emph}{\@ifstar\textbf\old@emph}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Additional functionalities.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ lettrine }
\usepackage{ etoc }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% `lettrine` setup.
\renewcommand*{\LettrineFontHook}{\color{RoyalBlue4}\infamily}
\setcounter{DefaultLines}{4}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Style for `etoc`.
%% Filler dots to make it look nice.
\newcommand*{\dotsPage}{%
\nobreak\leaders\hbox{\bfseries\hbox to .75ex {\hss.\hss}}%
\hfill\nobreak\makebox{\bfseries\etocpage}%
\par%
}
%% Nice TOC!
\etocsetstyle{section}
{\normalsize\rmfamily\bfseries\scshape%
\begin{itemize}[ leftmargin = 0pt, label = {} ]}
{\item}
{\etocname\dotsPage}
{\end{itemize}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Global changes and redefinitions.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{ babel }
\usepackage{ hyperref }

%% shorthand to change `babel` languages.
\Let\lang\setlanguage

%% Fix a conflict between `hyperref` and `tikz`.
\def\HyperFirstAtBeginDocument#1{#1}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Changes that are specific to Discord.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\size{ 24pt }%

\newcommand{\fullW}{{%
\par\noindent\hspace{ -15pt }%
\color[HTML]{FDFDFD}\rule{\paperwidth}{0.1pt}\par%
}}

\AfterEndPreamble{%
\catcode`\$ 12%
\pagecolor[HTML]{7deeda}%
\fullW\vspace{ -1.05em }%
}