\ProvidesPackage{yii-v1}[2024-01-01]

\RequirePackage[utf8]{inputenc} % encodage entree
\RequirePackage{natbib} % bibliography
\RequirePackage[english,french,greek]{babel} % français
\RequirePackage[T1]{fontenc} % encodage sortie
\RequirePackage{amsmath} % maths
\RequirePackage{amssymb} % symbols
\RequirePackage{amsthm} % th, prop etc.
\RequirePackage{xparse} % fonctions
\RequirePackage{geometry} % correction footnote
\RequirePackage{fancyhdr} % entêtes et pied-de-page
\RequirePackage{appendix} % annexes
\RequirePackage{graphicx}  % images
\RequirePackage{xcolor} % couleur
\RequirePackage{mathrsfs} % police maths \mathscr
\RequirePackage{array} % tableau
\RequirePackage{lmodern} % police
\RequirePackage{slantsc} % correction police
\RequirePackage{fix-cm} % correction CM
\RequirePackage{chemfig} % formules chimiques
\RequirePackage[version=4]{mhchem}
\RequirePackage{listings} % code
\RequirePackage{lipsum} % lorem ipsum
\RequirePackage{tikz} % schem
\RequirePackage[RPvoltages, european, straight voltages, cuteinductors]{circuitikz} % circuits
\RequirePackage{tikz-3dplot} % plot 3D
\RequirePackage{esint} % intégrales
\RequirePackage{textgreek} % lettres grecques en roman
\RequirePackage{setspace} %  interlignes
\RequirePackage{paracol} % plusieurs colones
\RequirePackage[bottom]{footmisc} % correction footnote
\RequirePackage{lscape} % format paysage pour une page : environnement landscape (remplacer par le package pdflscape si besoin)
\RequirePackage[arrowdel]{physics} % Un package essentiel
\RequirePackage{afterpage} % pour intégrer le \clearpage dès la fin de page
\RequirePackage{caption}% figure...
\RequirePackage{subcaption}% sous-figures...
\RequirePackage{multirow} % case de plusieurs lignes dans un tableau
\RequirePackage{datetime} % date et heure de compilation
\RequirePackage{pagecolor} % couleur de la page
\RequirePackage{tikzducks} % quark
\RequirePackage{hyperref} % ref. url etc... en dernier !

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                    Paramètres                     %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\definecolor{ym_noir}{HTML}{121212}
\definecolor{ym_blanc}{HTML}{DDDDDD}
\definecolor{ym_bleu}{HTML}{06518E}
\definecolor{ym_bleuc}{HTML}{009EDB}
\definecolor{ym_rouge}{HTML}{ED1C24}
\definecolor{ym_jaune}{HTML}{E8BD0F}
\definecolor{ym_vert}{HTML}{3B795E}
\definecolor{ym_violet}{HTML}{C95BCF}

\colorlet{ym_black}{ym_noir}
\colorlet{ym_white}{ym_blanc}
\colorlet{ym_blue}{ym_bleu}
\colorlet{ym_lblue}{ym_bleuc}
\colorlet{ym_red}{ym_rouge}
\colorlet{ym_yellow}{ym_jaune}
\colorlet{ym_green}{ym_vert}
\colorlet{ym_purple}{ym_violet}

\colorlet{ym_orange}{ym_yellow!60!ym_red}

\setcounter{page}{1}
\setcounter{part}{0}
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{figure}{0}

\def\varwarning{}
\def\vartitle{}
\def\varsubtitle{}
\def\varauthor{}
\def\varinstitution{}
\def\varinstitutionbis{}
\def\varshortinst{}
\def\vardate{}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                      Options                      %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newif\ifFR
\newif\ifpaper

\DeclareOption{light}{
  \colorlet{fg}{black}
  \colorlet{bg}{white}

  \colorlet{fg_froid}{ym_bleu}
  \colorlet{bg_froid}{ym_bleuc}
  \colorlet{fg_chaud}{ym_rouge}
  \colorlet{bg_chaud}{ym_jaune}
  \colorlet{fg_neutre}{ym_vert}
  \colorlet{bg_neutre}{ym_violet}
}


\DeclareOption{dark}{
   \colorlet{fg}{ym_blanc}
   \colorlet{bg}{ym_noir}

   \colorlet{fg_froid}{ym_bleuc}
   \colorlet{bg_froid}{ym_bleu}
   \colorlet{fg_chaud}{ym_jaune}
   \colorlet{bg_chaud}{ym_rouge}
   \colorlet{fg_neutre}{ym_violet}
   \colorlet{bg_neutre}{ym_vert}
   
   \pagecolor{bg}
   \color{fg}
}

\DeclareOption{EN}{
  \FRfalse
  \AtBeginDocument{
    \selectlanguage{english}
  }
  \def\@eqdef{\equiv}
  \def\@name{\text}
  \def\@cste{\mathrm{cst}}
  \def\@TF{FT}
  \def\@VP{PV}
}

\DeclareOption{FR}{
  \FRtrue
  \AtBeginDocument{
    \selectlanguage{french}
  }
  \mathcode`\.="013B % 1.23 --> 1,23
  \def\@eqdef{\overset{\mathrm{def}}{=}}
  \def\@name{\textsc}
  \def\@cste{\mathrm{cste}}
  \def\@TF{TF}
  \def\@VP{VP}
  \captionsetup{labelsep=endash}
}


\DeclareOption{a4paper}{
  \papertrue
  \geometry{a4paper, top=3cm, bottom=3cm, left=3cm, right=3cm, headheight=1cm, headsep=0.5cm}
  \pagestyle{fancy}
  \fancyhead[L]{{\footnotesize \vartitle\\\varsubtitle}}
  \fancyhead[R]{{\footnotesize \varauthor\\\varshortinst}}
  \fancyfoot[C]{\thepage\ / \pageref{LastPage}}
  \fancypagestyle{plain}{\fancyhead{}\renewcommand{\headrule}{}}

  \AddToHook{shipout/background}{%
  \put (1.3cm, -0.3\paperheight){\rotatebox[origin=c]{90}{{\large \normalfont \textbf{\textcolor{red}{\varwarning}}}}}}

  \theoremstyle{plain}
  \newtheorem{propriete}{Propriété}
  \newtheorem{theoreme}{Théorème}
  \newtheorem{theorem}{Theorem}
  \newtheorem{postulat}{Postulat}
  \newtheorem{lemme}{Lemme}
  \newtheorem*{note}{N-B}

  \theoremstyle{definition}
  \newtheorem{definition}{Définition}
  \newtheorem{definition-en}{Definition}
  \newtheorem{exemple}{Exemple}
  \newtheorem{example}{Example}


  \theoremstyle{remark}
  \newtheorem*{remarque}{Remarque}
  \newtheorem*{remark}{Remark}

  \title{\vartitle\\\varsubtitle}
  \author{\varauthor\\\varinstitution\\\varinstitutionbis}
  \date{\vardate}

  \hypersetup{hidelinks, unicode}

  \AddToHook{shipout/lastpage}{\label{LastPage}} 
}

\DeclareOption{Bib-siam}{
  \citestyle{abbrv}
  \bibliographystyle{siam}
}

\DeclareOption{Bib-yii}{
  \citestyle{abbrv}
  \bibliographystyle{yii}
}

\DeclareOption{Bib-aasjournal}{
  \citestyle{aasjournal}
  \bibliographystyle{aasjournal}
}

\DeclareOption{beamer}{
  \paperfalse
  \setbeamercolor{structure}{fg=ym_bleu}
  \setbeamertemplate{page number in head/foot}[framenumber]
  \setbeamertemplate{caption}[numbered]
  \beamertemplatenavigationsymbolsempty

  \title{\vartitle}
  \subtitle{\varsubtitle}
  \author{\varauthor}
  \institute[\varshortinst]{\varinstitution\\\varinstitutionbis}

  \date{\vardate}
}

\DeclareOption{part}{
  \numberwithin{section}{part}
  \renewcommand{\numberline}[1]{#1~}
}

\DeclareOption{default}{
  \def\@G{\mathcal{G}}
  \def\@vect{\va*}
  \def\@u{\vu u_}
  \def\@e{\vu e_}
  \def\@vu{\vu}
}

\DeclareOption{astro}{
  \def\@G{G}
  \def\@vect{\vb}
  \def\@u{\vu u_}
  \def\@e{\vu e_}
  \def\@vu{\vu}
}

\DeclareOption{vb}{
  \def\@vect{\vb}
}

\DeclareOption{vu-u}{
  \def\@u{\vu u_}
  \def\@e{\vu u_}
  \def\@vu{\vu u_}
}

\DeclareOption{vu-e}{
  \def\@u{\vu e_}
  \def\@e{\vu e_}
  \def\@vu{\vu e_}
}

\DeclareOption{vu}{
  \def\@u{\vu}
  \def\@e{\vu}
  \def\@vu{\vu}
}

\DeclareOption{nosc}{
  \renewcommand{\textsc}{\text}
  \def\@name{\text}
}

\ExecuteOptions{EN}
\ExecuteOptions{light}
\ExecuteOptions{default}


\ProcessOptions\relax

\ifFR
  \ifpaper
    \renewcommand{\labelitemi}{---}
    \renewcommand{\labelitemii}{---}
    \renewcommand{\labelitemiii}{---}
    \renewcommand{\labelitemiv}{---}
  \fi
\fi
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                    Paramètres                     %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\setlength\parindent{0cm} % pas d'indentation des paragraphes
\renewcommand{\oiint}{\varoiint} % intégrales

\rmfamily
\DeclareFontShape{T1}{lmr}{b}{sc}{<->ssub*cmr/bx/sc}{}
\DeclareFontShape{T1}{lmr}{bx}{sc}{<->ssub*cmr/bx/sc}{}
\DeclareFontShape{T1}{lmr}{m}{scit}{<->ssub*cmr/m/scit}{}

\numberwithin{equation}{section}
\lstset{frame=single, numbers=left, showstringspaces=false, basicstyle=\footnotesize\ttfamily, breaklines=true, commentstyle=\color{ym_bleu}, keywordstyle=\color{ym_jaune}, stringstyle=\color{ym_vert}, extendedchars=true, literate={à}{{a}}1 {â}{{a}}1 {é}{{e}}1 {è}{{e}}1 {ê}{{e}}1 {ë}{{e}}1 {ï}{{i}}1 {û}{u}1 {ù}{u}1 {î}{i}1 {À}{{A}}1 {ô}{o}1 {ç}{c}1 {Â}{{A}}1 {É}{{E}}1 {È}{{E}}1 {Ê}{{E}}1 {Ë}{{E}}1 {Ï}{{I}}1 {Û}{U}1 {Ù}{U}1 {Î}{I}1 {Ô}{O}1 {Ç}{C}1 {°}{d}1}

\usetikzlibrary{babel}
\usetikzlibrary{decorations.pathmorphing, decorations.markings}
\tikzset{gluon/.style={thick, decorate, decoration={coil, segment length=4pt}}}
\tikzset{boson/.style={thick, decorate, decoration={snake, segment length=8pt}}}
\tikzset{higgs/.style={thick, dashed}}
\tikzset{fermion/.style={thick, postaction={decorate}, decoration={markings,mark=at position 0.55 with {\arrow{latex}}}}}
\tikzset{antifermion/.style={thick, postaction={decorate}, decoration={markings,mark=at position 0.55 with {\arrow{latex reversed}}}}}

% \hypersetup{unicode=false}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                  Greek letters                    %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Missing capital greek letters
\newcommand{\Alpha}{A}
\newcommand{\Beta}{B}
\newcommand{\Epsilon}{E}
\newcommand{\Varpsilon}{\Epsilon}
\newcommand{\Zeta}{Z}
\newcommand{\Eta}{H}
\newcommand{\Vartheta}{\Theta}
\newcommand{\Iota}{I}
\newcommand{\Kappa}{K}
\newcommand{\Mu}{M}
\newcommand{\Nu}{N}
\newcommand{\Omicron}{O}
\newcommand{\Varpi}{\Pi}
\newcommand{\Rho}{R}
\newcommand{\Varrho}{\Rho}
\newcommand{\Tau}{T}
\newcommand{\Varphi}{\Phi}
\newcommand{\Chi}{X}
% Math roman greek letters
\newcommand{\mathalpha}{\text{\normalfont{\textalpha}}}
\newcommand{\mathbeta}{\text{\normalfont{\textbeta}}}
\newcommand{\mathgamma}{\text{\normalfont{\textgamma}}}
\newcommand{\mathdelta}{\text{\normalfont{\textdelta}}}
\newcommand{\mathepsilon}{\text{\normalfont{\textepsilon}}}
\newcommand{\mathvarepsilon}{\text{\normalfont{\textepsilon}}}
\newcommand{\mathzeta}{\text{\normalfont{\textzeta}}}
\newcommand{\matheta}{\text{\normalfont{\texteta}}}
\newcommand{\maththeta}{\text{\normalfont{\texttheta}}}
\newcommand{\mathvartheta}{\text{\normalfont{\texttheta}}}
\newcommand{\mathiota}{\text{\normalfont{\textiota}}}
\newcommand{\mathkappa}{\text{\normalfont{\textkappa}}}
\newcommand{\mathlambda}{\text{\normalfont{\textlambda}}}
\newcommand{\mathmu}{\text{\normalfont{\textmu}}}
\newcommand{\mathnu}{\text{\normalfont{\textnu}}}
\newcommand{\mathomicron}{\text{\normalfont{\textomicron}}}
\newcommand{\mathpi}{\text{\normalfont{\textpi}}}
\newcommand{\mathvarpi}{\text{\normalfont{\textpi}}}
\newcommand{\mathrho}{\text{\normalfont{\textrho}}}
\newcommand{\mathvarrho}{\text{\normalfont{\textrho}}}
\newcommand{\mathsigma}{\text{\normalfont{\textsigma}}}
\newcommand{\mathtau}{\text{\normalfont{\texttau}}}
\newcommand{\mathupsilon}{\text{\normalfont{\textupsilon}}}
\newcommand{\mathphi}{\text{\normalfont{\textphi}}}
\newcommand{\mathvarphi}{\text{\normalfont{\textphi}}}
\newcommand{\mathchi}{\text{\normalfont{\textchi}}}
\newcommand{\mathpsi}{\text{\normalfont{\textpsi}}}
\newcommand{\mathomega}{\text{\normalfont{\textomega}}}
% Math roman capital greek letters
\newcommand{\mathAlpha}{\text{\normalfont{\textAlpha}}}
\newcommand{\mathBeta}{\text{\normalfont{\textBeta}}}
\newcommand{\mathGamma}{\text{\normalfont{\textGamma}}}
\newcommand{\mathDelta}{\text{\normalfont{\textDelta}}}
\newcommand{\mathEpsilon}{\text{\normalfont{\textEpsilon}}}
\newcommand{\mathVarepsilon}{\text{\normalfont{\textEpsilon}}}
\newcommand{\mathZeta}{\text{\normalfont{\textZeta}}}
\newcommand{\mathEta}{\text{\normalfont{\textEta}}}
\newcommand{\mathTheta}{\text{\normalfont{\textTheta}}}
\newcommand{\mathVartheta}{\text{\normalfont{\textTheta}}}
\newcommand{\mathIota}{\text{\normalfont{\textIota}}}
\newcommand{\mathKappa}{\text{\normalfont{\textKappa}}}
\newcommand{\mathLambda}{\text{\normalfont{\textLambda}}}
\newcommand{\mathMu}{\text{\normalfont{\textMu}}}
\newcommand{\mathNu}{\text{\normalfont{\textNu}}}
\newcommand{\mathOmicron}{\text{\normalfont{\textOmicron}}}
\newcommand{\mathPi}{\text{\normalfont{\textPi}}}
\newcommand{\mathVarpi}{\text{\normalfont{\textPi}}}
\newcommand{\mathRho}{\text{\normalfont{\textRho}}}
\newcommand{\mathVarrho}{\text{\normalfont{\textRho}}}
\newcommand{\mathSigma}{\text{\normalfont{\textSigma}}}
\newcommand{\mathTau}{\text{\normalfont{\textTau}}}
\newcommand{\mathUpsilon}{\text{\normalfont{\textUpsilon}}}
\newcommand{\mathPhi}{\text{\normalfont{\textPhi}}}
\newcommand{\mathVarphi}{\text{\normalfont{\textPhi}}}
\newcommand{\mathChi}{\text{\normalfont{\textChi}}}
\newcommand{\mathPsi}{\text{\normalfont{\textPsi}}}
\newcommand{\mathOmega}{\text{\normalfont{\textOmega}}}
% Math bold greek letters
\newcommand{\boldalpha}{\boldsymbol{\alpha}}
\newcommand{\boldbeta}{\boldsymbol{\beta}}
\newcommand{\boldgamma}{\boldsymbol{\gamma}}
\newcommand{\bolddelta}{\boldsymbol{\delta}}
\newcommand{\boldepsilon}{\boldsymbol{\epsilon}}
\newcommand{\boldvarepsilon}{\boldsymbol{\epsilon}}
\newcommand{\boldzeta}{\boldsymbol{\zeta}}
\newcommand{\boldeta}{\boldsymbol{\eta}}
\newcommand{\boldtheta}{\boldsymbol{\theta}}
\newcommand{\boldvartheta}{\boldsymbol{\theta}}
\newcommand{\boldiota}{\boldsymbol{\iota}}
\newcommand{\boldkappa}{\boldsymbol{\kappa}}
\newcommand{\boldlambda}{\boldsymbol{\lambda}}
\newcommand{\boldmu}{\boldsymbol{\mu}}
\newcommand{\boldnu}{\boldsymbol{\nu}}
\newcommand{\boldomicron}{\boldsymbol{\omicron}}
\newcommand{\boldpi}{\boldsymbol{\pi}}
\newcommand{\boldvarpi}{\boldsymbol{\pi}}
\newcommand{\boldrho}{\boldsymbol{\rho}}
\newcommand{\boldvarrho}{\boldsymbol{\rho}}
\newcommand{\boldsigma}{\boldsymbol{\sigma}}
\newcommand{\boldtau}{\boldsymbol{\tau}}
\newcommand{\boldupsilon}{\boldsymbol{\upsilon}}
\newcommand{\boldphi}{\boldsymbol{\phi}}
\newcommand{\boldvarphi}{\boldsymbol{\phi}}
\newcommand{\boldchi}{\boldsymbol{\chi}}
\newcommand{\boldpsi}{\boldsymbol{\psi}}
\newcommand{\boldomega}{\boldsymbol{\omega}}
% Math bold capital greek letters
\newcommand{\boldAlpha}{\boldsymbol{\Alpha}}
\newcommand{\boldBeta}{\boldsymbol{\Beta}}
\newcommand{\boldGamma}{\boldsymbol{\Gamma}}
\newcommand{\boldDelta}{\boldsymbol{\Delta}}
\newcommand{\boldEpsilon}{\boldsymbol{\Epsilon}}
\newcommand{\boldVarepsilon}{\boldsymbol{\Epsilon}}
\newcommand{\boldZeta}{\boldsymbol{\Zeta}}
\newcommand{\boldEta}{\boldsymbol{\Eta}}
\newcommand{\boldTheta}{\boldsymbol{\Theta}}
\newcommand{\boldVartheta}{\boldsymbol{\Theta}}
\newcommand{\boldIota}{\boldsymbol{\Iota}}
\newcommand{\boldKappa}{\boldsymbol{\Kappa}}
\newcommand{\boldLambda}{\boldsymbol{\Lambda}}
\newcommand{\boldMu}{\boldsymbol{\Mu}}
\newcommand{\boldNu}{\boldsymbol{\Nu}}
\newcommand{\boldOmicron}{\boldsymbol{\Omicron}}
\newcommand{\boldPi}{\boldsymbol{\Pi}}
\newcommand{\boldVarpi}{\boldsymbol{\Pi}}
\newcommand{\boldRho}{\boldsymbol{\Rho}}
\newcommand{\boldVarrho}{\boldsymbol{\Rho}}
\newcommand{\boldSigma}{\boldsymbol{\Sigma}}
\newcommand{\boldTau}{\boldsymbol{\Tau}}
\newcommand{\boldUpsilon}{\boldsymbol{\Upsilon}}
\newcommand{\boldPhi}{\boldsymbol{\Phi}}
\newcommand{\boldVarphi}{\boldsymbol{\Phi}}
\newcommand{\boldChi}{\boldsymbol{\Chi}}
\newcommand{\boldPsi}{\boldsymbol{\Psi}}
\newcommand{\boldOmega}{\boldsymbol{\Omega}}
% Text bold roman greek letters
\newcommand{\boldtextalpha}{\textbf{\textalpha}}
\newcommand{\boldtextbeta}{\textbf{\textbeta}}
\newcommand{\boldtextgamma}{\textbf{\textgamma}}
\newcommand{\boldtextdelta}{\textbf{\textdelta}}
\newcommand{\boldtextepsilon}{\textbf{\textepsilon}}
\newcommand{\boldtextvarepsilon}{\textbf{\textepsilon}}
\newcommand{\boldtextzeta}{\textbf{\textzeta}}
\newcommand{\boldtexteta}{\textbf{\texteta}}
\newcommand{\boldtexttheta}{\textbf{\texttheta}}
\newcommand{\boldtextvartheta}{\textbf{\texttheta}}
\newcommand{\boldtextiota}{\textbf{\textiota}}
\newcommand{\boldtextkappa}{\textbf{\textkappa}}
\newcommand{\boldtextlambda}{\textbf{\textlambda}}
\newcommand{\boldtextmu}{\textbf{\textmu}}
\newcommand{\boldtextnu}{\textbf{\textnu}}
\newcommand{\boldtextomicron}{\textbf{\textomicron}}
\newcommand{\boldtextpi}{\textbf{\textpi}}
\newcommand{\boldtextvarpi}{\textbf{\textpi}}
\newcommand{\boldtextrho}{\textbf{\textrho}}
\newcommand{\boldtextvarrho}{\textbf{\textrho}}
\newcommand{\boldtextsigma}{\textbf{\textsigma}}
\newcommand{\boldtexttau}{\textbf{\texttau}}
\newcommand{\boldtextupsilon}{\textbf{\textupsilon}}
\newcommand{\boldtextphi}{\textbf{\textphi}}
\newcommand{\boldtextvarphi}{\textbf{\textphi}}
\newcommand{\boldtextchi}{\textbf{\textchi}}
\newcommand{\boldtextpsi}{\textbf{\textpsi}}
\newcommand{\boldtextomega}{\textbf{\textomega}}
% Text bold roman capital greek letters
\newcommand{\boldtextAlpha}{\textbf{\textAlpha}}
\newcommand{\boldtextBeta}{\textbf{\textBeta}}
\newcommand{\boldtextGamma}{\textbf{\textGamma}}
\newcommand{\boldtextDelta}{\textbf{\textDelta}}
\newcommand{\boldtextEpsilon}{\textbf{\textEpsilon}}
\newcommand{\boldtextVarepsilon}{\textbf{\textEpsilon}}
\newcommand{\boldtextZeta}{\textbf{\textZeta}}
\newcommand{\boldtextEta}{\textbf{\textEta}}
\newcommand{\boldtextTheta}{\textbf{\textTheta}}
\newcommand{\boldtextVartheta}{\textbf{\textTheta}}
\newcommand{\boldtextIota}{\textbf{\textIota}}
\newcommand{\boldtextKappa}{\textbf{\textKappa}}
\newcommand{\boldtextLambda}{\textbf{\textLambda}}
\newcommand{\boldtextMu}{\textbf{\textMu}}
\newcommand{\boldtextNu}{\textbf{\textNu}}
\newcommand{\boldtextOmicron}{\textbf{\textOmicron}}
\newcommand{\boldtextPi}{\textbf{\textPi}}
\newcommand{\boldtextVarpi}{\textbf{\textPi}}
\newcommand{\boldtextRho}{\textbf{\textRho}}
\newcommand{\boldtextVarrho}{\textbf{\textRho}}
\newcommand{\boldtextSigma}{\textbf{\textSigma}}
\newcommand{\boldtextTau}{\textbf{\textTau}}
\newcommand{\boldtextUpsilon}{\textbf{\textUpsilon}}
\newcommand{\boldtextPhi}{\textbf{\textPhi}}
\newcommand{\boldtextVarphi}{\textbf{\textPhi}}
\newcommand{\boldtextChi}{\textbf{\textChi}}
\newcommand{\boldtextPsi}{\textbf{\textPsi}}
\newcommand{\boldtextOmega}{\textbf{\textOmega}}
% Math bold roman greek letters
\newcommand{\boldmathalpha}{\text{\boldtextalpha}}
\newcommand{\boldmathbeta}{\text{\boldtextbeta}}
\newcommand{\boldmathgamma}{\text{\boldtextgamma}}
\newcommand{\boldmathdelta}{\text{\boldtextdelta}}
\newcommand{\boldmathepsilon}{\text{\boldtextepsilon}}
\newcommand{\boldmathvarepsilon}{\text{\boldtextepsilon}}
\newcommand{\boldmathzeta}{\text{\boldtextzeta}}
\newcommand{\boldmatheta}{\text{\boldtexteta}}
\newcommand{\boldmaththeta}{\text{\boldtexttheta}}
\newcommand{\boldmathvartheta}{\text{\boldtexttheta}}
\newcommand{\boldmathiota}{\text{\boldtextiota}}
\newcommand{\boldmathkappa}{\text{\boldtextkappa}}
\newcommand{\boldmathlambda}{\text{\boldtextlambda}}
\newcommand{\boldmathmu}{\text{\boldtextmu}}
\newcommand{\boldmathnu}{\text{\boldtextnu}}
\newcommand{\boldmathomicron}{\text{\boldtextomicron}}
\newcommand{\boldmathpi}{\text{\boldtextpi}}
\newcommand{\boldmathvarpi}{\text{\boldtextpi}}
\newcommand{\boldmathrho}{\text{\boldtextrho}}
\newcommand{\boldmathvarrho}{\text{\boldtextrho}}
\newcommand{\boldmathsigma}{\text{\boldtextsigma}}
\newcommand{\boldmathtau}{\text{\boldtexttau}}
\newcommand{\boldmathupsilon}{\text{\boldtextupsilon}}
\newcommand{\boldmathphi}{\text{\boldtextphi}}
\newcommand{\boldmathvarphi}{\text{\boldtextphi}}
\newcommand{\boldmathchi}{\text{\boldtextchi}}
\newcommand{\boldmathpsi}{\text{\boldtextpsi}}
\newcommand{\boldmathomega}{\text{\boldtextomega}}
% Text bold roman capital greek letters
\newcommand{\boldmathAlpha}{\text{\boldtextAlpha}}
\newcommand{\boldmathBeta}{\text{\boldtextBeta}}
\newcommand{\boldmathGamma}{\text{\boldtextGamma}}
\newcommand{\boldmathDelta}{\text{\boldtextDelta}}
\newcommand{\boldmathEpsilon}{\text{\boldtextEpsilon}}
\newcommand{\boldmathVarepsilon}{\text{\boldtextEpsilon}}
\newcommand{\boldmathZeta}{\text{\boldtextZeta}}
\newcommand{\boldmathEta}{\text{\boldtextEta}}
\newcommand{\boldmathTheta}{\text{\boldtextTheta}}
\newcommand{\boldmathVartheta}{\text{\boldtextTheta}}
\newcommand{\boldmathIota}{\text{\boldtextIota}}
\newcommand{\boldmathKappa}{\text{\boldtextKappa}}
\newcommand{\boldmathLambda}{\text{\boldtextLambda}}
\newcommand{\boldmathMu}{\text{\boldtextMu}}
\newcommand{\boldmathNu}{\text{\boldtextNu}}
\newcommand{\boldmathOmicron}{\text{\boldtextOmicron}}
\newcommand{\boldmathPi}{\text{\boldtextPi}}
\newcommand{\boldmathVarpi}{\text{\boldtextPi}}
\newcommand{\boldmathRho}{\text{\boldtextRho}}
\newcommand{\boldmathVarrho}{\text{\boldtextRho}}
\newcommand{\boldmathSigma}{\text{\boldtextSigma}}
\newcommand{\boldmathTau}{\text{\boldtextTau}}
\newcommand{\boldmathUpsilon}{\text{\boldtextUpsilon}}
\newcommand{\boldmathPhi}{\text{\boldtextPhi}}
\newcommand{\boldmathVarphi}{\text{\boldtextPhi}}
\newcommand{\boldmathChi}{\text{\boldtextChi}}
\newcommand{\boldmathPsi}{\text{\boldtextPsi}}
\newcommand{\boldmathOmega}{\text{\boldtextOmega}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                     Commandes                     %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% basdepage
\newcommand\basdepage[1]{%
  \begingroup
  \renewcommand\thefootnote{}\footnote{#1}%
  \addtocounter{footnote}{-1}%
  \endgroup
}

% blackboard
\newcommand{\ens}[1]{\mathbf{#1}}
\newcommand{\esp}[1]{\mathcal{#1}}
\newcommand{\fk}[1]{\mathfrak{#1}}
\newcommand{\mat}[1]{\mathcal{#1}} % equiv \esp
\newcommand{\N}{\ens{N}}
\newcommand{\Z}{\ens{Z}}
\newcommand{\D}{\ens{D}}
\newcommand{\Q}{\ens{Q}}
\newcommand{\R}{\ens{R}}
\newcommand{\C}{\ens{C}}
\newcommand{\K}{\ens{K}}
\newcommand{\etoile}{^{\displaystyle \ast}}
\newcommand{\adj}{^{\dagger}}
\newcommand{\transp}{^{\top}}
\newcommand{\std}{\text{°}}
\newcommand{\odeg}{\std}
\newcommand{\fonc}[2]{\left\langle {#1},\,{#2}\right\rangle}
\newcommand{\sfonc}[2]{\langle {#1},\,{#2}\rangle}

% opérateurs
\DeclareMathOperator{\pgcd}{pgcd}
\DeclareMathOperator{\Vect}{Vect}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\Image}{Im}
\DeclareMathOperator{\Sp}{Sp}
\DeclareMathOperator{\lap}{\laplacian}
\DeclareMathOperator{\vlap}{\vect{\nabla}^2}
\DeclareMathOperator{\ham}{\mathcal H}
\DeclareMathOperator{\lag}{\mathcal L}
\DeclareMathOperator{\mom}{\mathcal M}
\DeclareMathOperator{\act}{\mathcal S}
\DeclareMathOperator{\lang}{\mathscr L}
\DeclareMathOperator{\card}{card}
\DeclareMathOperator{\p}{\mathbb P}
\DeclareMathOperator{\arctandeux}{arctan2}
\DeclareMathOperator{\dal}{\square}
\DeclareMathOperator{\TF}{\@TF}
\DeclareMathOperator{\FT}{\@TF}
\DeclareMathOperator{\VP}{\@VP}


\newcommand{\vect}[1]{\@vect{#1}}
\newcommand{\rot}{\curl}

\newcommand{\name}{\@name}
\newcommand{\unite}[1]{\mathrm{~#1}}
\newcommand{\unit}[1]{\unite{#1}}
\newcommand{\range}{\text{--}}
\newcommand{\e}{\mathrm{e}}
\newcommand{\im}{\mathrm{i}}
\newcommand{\jm}{\mathrm{j}}
\newcommand{\E}[1]{\times 10^{#1}}
\newcommand{\cqfd}{\hspace*{0pt} \hfill $\square$}
\newcommand{\NA}{\mathcal{N}_\mathrm{A}}
\newcommand{\kB}{k_\mathrm{B}}
\newcommand{\muB}{\mu_\mathrm{B}}
\newcommand{\G}{\@G}
\newcommand{\ul}{\underline}
\newcommand{\ol}{\overline}
\newcommand{\eqdef}{\@eqdef}
\newcommand{\cste}{\@cste}
\newcommand{\cst}{\mathrm{cst}}
\newcommand{\moy}[1]{\left\langle{#1}\right\rangle}
\newcommand{\smoy}[1]{\langle{#1}\rangle}
\newcommand{\mean}[1]{\smoy{#1}}
\newcommand{\smean}[1]{\smoy{#1}}
\newcommand{\ope}[1]{\hat{#1}}
\newcommand{\opevect}[1]{\hat{\vb{#1}}}
\newcommand{\sol}{\odot}
\newcommand{\sun}{\odot}
\newcommand{\ter}{\oplus}
\newcommand{\uma}{\mathrm{u}}
\DeclareDocumentCommand\atom{m g g g}{
  \IfNoValueTF{#2}{\ce{#1}}{
    \IfNoValueTF{#3}{\ce{^{\text{$#2$}}{#1}}}{
      \IfNoValueTF{#4}{\ce{^{\text{$#2$}}_{\text{$#3$}}{#1}}}{
        \ce{^{\text{$#2$}}_{\text{$#3$}}{#1}_{\text{$#4$}}}
      }
    }
  }
}
\DeclareDocumentCommand\underbraceset{m g}{
  \IfNoValueTF{#2}{\underbrace{#1}}{
    \underset{#1}{\underbrace{#2}}
  }
}
% vecteurs unitaires
\newcommand{\ux}{\@u{x}}
\newcommand{\uy}{\@u{y}}
\newcommand{\uz}{\@u{z}}
\newcommand{\ur}{\@u{r}}
\newcommand{\un}{\@u{n}}
\newcommand{\ut}{\@u{t}}
\newcommand{\urho}{\@u{\rho}}
\newcommand{\utheta}{\@u{\theta}}
\newcommand{\uvartheta}{\@u{\vartheta}}
\newcommand{\uphi}{\@u{\phi}}
\newcommand{\uvarphi}{\@u{\varphi}}

\newcommand{\ex}{\@e{x}}
\newcommand{\ey}{\@e{y}}
\newcommand{\ez}{\@e{z}}
\newcommand{\er}{\@e{r}}
\newcommand{\en}{\@e{n}}
\newcommand{\et}{\@e{t}}
\newcommand{\erho}{\@e{\rho}}
\newcommand{\etheta}{\@e{\theta}}
\newcommand{\evartheta}{\@e{\vartheta}}
\newcommand{\ephi}{\@e{\phi}}
\newcommand{\evarphi}{\@e{\varphi}}

\newcommand{\vux}{\@vu{x}}
\newcommand{\vuy}{\@vu{y}}
\newcommand{\vuz}{\@vu{z}}
\newcommand{\vur}{\@vu{r}}
\newcommand{\vun}{\@vu{n}}
\newcommand{\vut}{\@vu{t}}
\newcommand{\vurho}{\@vu{\rho}}
\newcommand{\vutheta}{\@vu{\theta}}
\newcommand{\vuvartheta}{\@vu{\vartheta}}
\newcommand{\vuphi}{\@vu{\phi}}
\newcommand{\vuvarphi}{\@vu{\varphi}}

% d, déron, etc.
\newcommand{\ds}{\deh{s}}
\newcommand{\dx}{\deh{x}}
\newcommand{\dy}{\deh{y}}
\newcommand{\dz}{\deh{z}}
\newcommand{\dt}{\deh{t}}
\newcommand{\dr}{\deh{r}}
\newcommand{\drho}{\deh{\rho}}
\newcommand{\dtheta}{\deh{\theta}}
\newcommand{\dvartheta}{\deh{\vartheta}}
\newcommand{\dphi}{\deh{\phi}}
\newcommand{\dvarphi}{\deh{\varphi}}
\newcommand{\deron}{\partial}
\newcommand{\ddr}{\dd[3]{\vect r}}
\newcommand{\ddp}{\dd[3]{\vect p}}
\newcommand{\ddk}{\dd[3]{\vect k}}

\newcommand{\deh}{\dd}

\def\diffD{\mathrm{D}}
\DeclareDocumentCommand\Differential{ o g d() }{ % Differential 'd'
	% o: optional n for nth differential
	% g: optional argument for readability and to control spacing
	% d: long-form as in d(cos x)
	\IfNoValueTF{#2}{
		\IfNoValueTF{#3}
			{\diffD\IfNoValueTF{#1}{}{^{#1}}}
			{\mathinner{\diffD\IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
		}
		{\mathinner{\diffD\IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}}
	}
\DeclareDocumentCommand\Deh{}{\Differential} % Shorthand for \differential
\DeclareDocumentCommand\Variation{ o g d() }{ % Functional variation
	% o: optional n for nth differential
	% g: optional argument for readability and to control spacing
	% d: long-form as in D(F(g))
	\IfNoValueTF{#2}{
		\IfNoValueTF{#3}
			{\Delta \IfNoValueTF{#1}{}{^{#1}}}
			{\mathinner{\Delta \IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
		}
		{\mathinner{\Delta \IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}}
	}
\DeclareDocumentCommand\Var{}{\Variation} % Shorthand for \differential

\newcommand{\cfill}{\hspace*{0cm}\hfill\hspace*{0cm}}

\newcommand{\ie}{\textit{i.e.}}
\newcommand{\etal}{\textit{et al}}
\newcommand{\eg}{\textit{e.g.}}

\newenvironment{question}[1]{\textbf{Q\,#1.}}{}
\newenvironment{systeme}{\left\{\begin{array}{ll}}{\end{array}\right.} % Attention, l'accolade est bien fermée ici !
\newenvironment{system}{\left\{\begin{array}{ll}}{\end{array}\right.}

\newcommand{\setWarning}[1]{\def\varwarning{{#1}}}
\newcommand{\setTitle}[1]{\def\vartitle{{#1}}}
\newcommand{\setSubTitle}[1]{\def\varsubtitle{{#1}}}
\newcommand{\setAuthor}[1]{\def\varauthor{{#1}}}
\newcommand{\setInstitution}[1]{\def\varinstitution{{#1}}}
\DeclareDocumentCommand\setInstitution{mo}{\def\varinstitution{{#1}}\IfValueT{#2}{\def\varinstitutionbis{{#2}}}}
\newcommand{\setShortInst}[1]{\def\varshortinst{{#1}}}
\newcommand{\setDate}[1]{\def\vardate{{#1}}}

\newcommand{\getWarning}{\varwarning}
\newcommand{\getTitle}{\vartitle}
\newcommand{\getSubTitle}{\varsubtitle}
\newcommand{\getAuthor}{\varauthor}
\newcommand{\getInstitution}{\varinstitution}
\newcommand{\getInstitutionbis}{\varinstitutionbis}
\newcommand{\getShortInst}{\varshortinst}
\newcommand{\getDate}{\vardate}

\newcommand{\setPage}[1]{\setcounter{page}{{#1}}}
\newcommand{\setPart}[1]{\setcounter{part}{{#1}}}
\newcommand{\setSection}[1]{\setcounter{section}{{#1}}}
\newcommand{\setSubSection}[1]{\setcounter{subsection}{{#1}}}
\newcommand{\setSubSubSection}[1]{\setcounter{subsubsection}{{#1}}}
\newcommand{\setFigure}[1]{\setcounter{figure}{{#1}}}


\newcommand{\shorttitle}{
    \maketitle
}

\DeclareDocumentCommand\longtitle{s o m}{
  \thispagestyle{empty}
  \IfBooleanTF{#1}{
    \vspace*{5cm}
  }
  {
    \includegraphics[height=2cm]{{#3}}
    \vspace*{3cm}
  }
  \begin{spacing}{1.7}
    \begin{center}
      {\huge\vartitle}
   
      \vspace*{1cm}
      {\Large\varsubtitle}
    
      \vspace*{1cm}
      {\large\varauthor\\\varinstitution\\\varinstitutionbis}
    
      \vspace*{1cm}
      {\large\vardate}
    \end{center}
  \end{spacing}
  \IfValueT{#2}{
    \vfill
    \begin{center}
      {#2}
    \end{center}
    \vfill
  }
  \newpage
  \tableofcontents
  \newpage
}

% ! AASTeX MACROS
%  These Macros are taken from the AAS TeX macro package version 5.2
%  and are compatible with the macros in the A&A document class
%  version 7.0
%  Include this file in your LaTeX source only if you are not using
%  the AAS TeX macro package or the A&A document class and need to
%  resolve the macro definitions in the TeX/BibTeX entries returned by
%  the ADS abstract service.
%
%  If you plan not to use this file to resolve the journal macros
%  rather than the whole AAS TeX macro package, you should save the
%  file as ``aas_macros.sty'' and then include it in your LaTeX paper
%  by using a construct such as:
%	\documentstyle[11pt,aas_macros]{article}
%
%  For more information on the AASTeX and A&A packages, please see:
%       http://journals.aas.org/authors/aastex.html
%       ftp://ftp.edpsciences.org/pub/aa/readme.html
%  For more information about ADS abstract server, please see:
%       http://adsabs.harvard.edu/ads_abstracts.html
%

% Abbreviations for journals.  The object here is to provide authors
% with convenient shorthands for the most "popular" (often-cited)
% journals; the author can use these markup tags without being concerned
% about the exact form of the journal abbreviation, or its formatting.
% It is up to the keeper of the macros to make sure the macros expand
% to the proper text.  If macro package writers agree to all use the
% same TeX command name, authors only have to remember one thing, and
% the style file will take care of editorial preferences.  This also
% applies when a single journal decides to revamp its abbreviating
% scheme, as happened with the ApJ (Abt 1991).

\let\jnl@style=\rm
\def\ref@jnl#1{{\jnl@style#1}}

\def\aj{\ref@jnl{AJ}}                   % Astronomical Journal
\def\actaa{\ref@jnl{Acta Astron.}}      % Acta Astronomica
\def\araa{\ref@jnl{ARA\&A}}             % Annual Review of Astron and Astrophys
\def\apj{\ref@jnl{ApJ}}                 % Astrophysical Journal
\def\apjl{\ref@jnl{ApJ}}                % Astrophysical Journal, Letters
\def\apjs{\ref@jnl{ApJS}}               % Astrophysical Journal, Supplement
\def\ao{\ref@jnl{Appl.~Opt.}}           % Applied Optics
\def\apss{\ref@jnl{Ap\&SS}}             % Astrophysics and Space Science
\def\aap{\ref@jnl{A\&A}}                % Astronomy and Astrophysics
\def\aapr{\ref@jnl{A\&A~Rev.}}          % Astronomy and Astrophysics Reviews
\def\aaps{\ref@jnl{A\&AS}}              % Astronomy and Astrophysics, Supplement
\def\azh{\ref@jnl{AZh}}                 % Astronomicheskii Zhurnal
\def\baas{\ref@jnl{BAAS}}               % Bulletin of the AAS
\def\bac{\ref@jnl{Bull. astr. Inst. Czechosl.}}
                % Bulletin of the Astronomical Institutes of Czechoslovakia
\def\caa{\ref@jnl{Chinese Astron. Astrophys.}}
                % Chinese Astronomy and Astrophysics
\def\cjaa{\ref@jnl{Chinese J. Astron. Astrophys.}}
                % Chinese Journal of Astronomy and Astrophysics
\def\icarus{\ref@jnl{Icarus}}           % Icarus
\def\jcap{\ref@jnl{J. Cosmology Astropart. Phys.}}
                % Journal of Cosmology and Astroparticle Physics
\def\jrasc{\ref@jnl{JRASC}}             % Journal of the RAS of Canada
\def\memras{\ref@jnl{MmRAS}}            % Memoirs of the RAS
\def\mnras{\ref@jnl{MNRAS}}             % Monthly Notices of the RAS
\def\na{\ref@jnl{New A}}                % New Astronomy
\def\nar{\ref@jnl{New A Rev.}}          % New Astronomy Review
\def\pra{\ref@jnl{Phys.~Rev.~A}}        % Physical Review A: General Physics
\def\prb{\ref@jnl{Phys.~Rev.~B}}        % Physical Review B: Solid State
\def\prc{\ref@jnl{Phys.~Rev.~C}}        % Physical Review C
\def\prd{\ref@jnl{Phys.~Rev.~D}}        % Physical Review D
\def\pre{\ref@jnl{Phys.~Rev.~E}}        % Physical Review E
\def\prl{\ref@jnl{Phys.~Rev.~Lett.}}    % Physical Review Letters
\def\pasa{\ref@jnl{PASA}}               % Publications of the Astron. Soc. of Australia
\def\pasp{\ref@jnl{PASP}}               % Publications of the ASP
\def\pasj{\ref@jnl{PASJ}}               % Publications of the ASJ
\def\rmxaa{\ref@jnl{Rev. Mexicana Astron. Astrofis.}}%
                % Revista Mexicana de Astronomia y Astrofisica
\def\qjras{\ref@jnl{QJRAS}}             % Quarterly Journal of the RAS
\def\skytel{\ref@jnl{S\&T}}             % Sky and Telescope
\def\solphys{\ref@jnl{Sol.~Phys.}}      % Solar Physics
\def\sovast{\ref@jnl{Soviet~Ast.}}      % Soviet Astronomy
\def\ssr{\ref@jnl{Space~Sci.~Rev.}}     % Space Science Reviews
\def\zap{\ref@jnl{ZAp}}                 % Zeitschrift fuer Astrophysik
\def\nat{\ref@jnl{Nature}}              % Nature
\def\iaucirc{\ref@jnl{IAU~Circ.}}       % IAU Cirulars
\def\aplett{\ref@jnl{Astrophys.~Lett.}} % Astrophysics Letters
\def\apspr{\ref@jnl{Astrophys.~Space~Phys.~Res.}}
                % Astrophysics Space Physics Research
\def\bain{\ref@jnl{Bull.~Astron.~Inst.~Netherlands}}
                % Bulletin Astronomical Institute of the Netherlands
\def\fcp{\ref@jnl{Fund.~Cosmic~Phys.}}  % Fundamental Cosmic Physics
\def\gca{\ref@jnl{Geochim.~Cosmochim.~Acta}}   % Geochimica Cosmochimica Acta
\def\grl{\ref@jnl{Geophys.~Res.~Lett.}} % Geophysics Research Letters
\def\jcp{\ref@jnl{J.~Chem.~Phys.}}      % Journal of Chemical Physics
\def\jgr{\ref@jnl{J.~Geophys.~Res.}}    % Journal of Geophysics Research
\def\jqsrt{\ref@jnl{J.~Quant.~Spec.~Radiat.~Transf.}}
                % Journal of Quantitiative Spectroscopy and Radiative Transfer
\def\memsai{\ref@jnl{Mem.~Soc.~Astron.~Italiana}}
                % Mem. Societa Astronomica Italiana
\def\nphysa{\ref@jnl{Nucl.~Phys.~A}}   % Nuclear Physics A
\def\physrep{\ref@jnl{Phys.~Rep.}}   % Physics Reports
\def\physscr{\ref@jnl{Phys.~Scr}}   % Physica Scripta
\def\planss{\ref@jnl{Planet.~Space~Sci.}}   % Planetary Space Science
\def\procspie{\ref@jnl{Proc.~SPIE}}   % Proceedings of the SPIE

\let\astap=\aap
\let\apjlett=\apjl
\let\apjsupp=\apjs
\let\applopt=\ao


\endinput