%[TLP:CLEAR]
% MANCHOT
%
% Manchot is an Astrophysics package aNd Class to Help writing dOcuments in Tex 
% (MANCHOT)
%
%@ Author: Moussouni, Yaël (MSc student; yael.moussouni@etu.unistra.fr)
%@ Institution:  Université de Strasbourg, CNRS, Observatoire astronomique
%                de Strasbourg, UMR 7550, F-67000 Strasbourg, France
%@ Date: 2025-05-03
%
% Licence:
% MSc2 Internship: SMACS Cluster
% Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
% 
% package_commands.tex
% Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
% 
% This program is free software: you can redistribute it and/or modify 
% it under the terms of the GNU General Public License as published by 
% the Free Software Foundation; either version 3 of the License, or 
% (at your option) any later version.
% 
% This program is distributed in the hope that it will be useful, 
% but WITHOUT ANY WARRANTY; without even the implied warranty of 
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 
% GNU General Public License for more details.
% 
% You should have received a copy of the GNU General Public License 
% along with this program. If not, see www.gnu.org/licenses/.

% Vectors
\let\vect\vb
\let\rot\curl

% Set and spaces
\newcommand{\set}[1]{\mathbf{#1}} % set (in bold)
\newcommand{\spc}[1]{\mathcal{#1}} % space (in cal)
\newcommand{\N}{\set{N}}
\newcommand{\Z}{\set{Z}}
\newcommand{\D}{\set{D}}
\newcommand{\Q}{\set{Q}}
\newcommand{\R}{\set{R}}
\newcommand{\C}{\set{C}}
\newcommand{\K}{\set{K}}

\newcommand{\intqty}[1]{\left[\!\left[{#1}\right]\!\right]}

% Quantities
\newcommand{\lag}{\mathcal{L}}
\newcommand{\ham}{\mathcal{H}}
\newcommand{\mom}{\mathcal{M}}

% Symbols
\newcommand{\odeg}{\text{°}}
\newcommand{\omin}{\text{'}}
\newcommand{\osec}{\text{''}}
\let\transp\top
\let\Sun\odot
\let\sun\odot
\let\Earth\oplus
\let\earth\oplus

% Operators
\DeclareMathOperator{\Sp}{Sp}
\DeclareMathOperator{\Image}{Im}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\arctantwo}{arctan2}
\DeclareMathOperator{\argmin}{\arg\min}
\DeclareMathOperator{\argmax}{\arg\max}
\let\FT\yii@FT
\let\lap\laplacian % Physics alias

% Probability
\DeclareMathOperator{\p}{\mathbb{P}}
\DeclareMathOperator{\pO}{\mathbb{O}}
\DeclareMathOperator{\pF}{\mathbb{F}}
\DeclareMathOperator{\pdf}{\mathbb{F'}}
\DeclareMathOperator{\pE}{\mathbb{E}}
\DeclareMathOperator{\pV}{\mathbb{V}}
\DeclareMathOperator{\normal}{\mathcal{N}}
\DeclareMathOperator{\binomial}{\mathcal{B}}
\DeclareMathOperator{\poisson}{\mathcal{P}}

% Constants
\newcommand{\im}{\mathrm{i}}
\newcommand{\jm}{\mathrm{j}}
\newcommand{\e}{\mathrm{e}}
\newcommand{\NA}{\mathcal{N}_\mathrm{A}}
\newcommand{\kB}{k_\mathrm{B}}
\newcommand{\muB}{\mu_\mathrm{B}}
\newcommand{\cst}{\mathrm{cst}}
\newcommand{\uma}{\mathrm{u}}

% Unitary vectors
\newcommand{\ux}{\vu u_x}
\newcommand{\uy}{\vu u_y}
\newcommand{\uz}{\vu u_z}
\newcommand{\ur}{\vu u_r}
\newcommand{\un}{\vu u_n}
\newcommand{\ut}{\vu u_t}
\newcommand{\urho}{\vu u_\rho}
\newcommand{\uvarrho}{\vu u_\varrho}
\newcommand{\utheta}{\vu u_\theta}
\newcommand{\uvartheta}{\vu u_\vartheta}
\newcommand{\uphi}{\vu u_\phi}
\newcommand{\uvarphi}{\vu u_\varphi}

\newcommand{\ex}{\vu e_x}
\newcommand{\ey}{\vu e_y}
\newcommand{\ez}{\vu e_z}
\newcommand{\er}{\vu e_r}
\newcommand{\en}{\vu e_n}
\newcommand{\et}{\vu e_t}
\newcommand{\erho}{\vu e_\rho}
\newcommand{\evarrho}{\vu e_\varrho}
\newcommand{\etheta}{\vu e_\theta}
\newcommand{\evartheta}{\vu e_\vartheta}
\newcommand{\ephi}{\vu e_\phi}
\newcommand{\evarphi}{\vu 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{\boldsymbol{\rho}}}
\newcommand{\vuvarrho}{\vu{\boldsymbol{\varrho}}}
\newcommand{\vutheta}{\vu{\boldsymbol{\theta}}}
\newcommand{\vuvartheta}{\vu{\boldsymbol{\vartheta}}}
\newcommand{\vuphi}{\vu{\boldsymbol{\phi}}}
\newcommand{\vuvarphi}{\vu{\boldsymbol{\varphi}}}

% Differential elements
\newcommand{\ds}{\dd{s}}
\newcommand{\dx}{\dd{x}}
\newcommand{\dy}{\dd{y}}
\newcommand{\dz}{\dd{z}}
\newcommand{\dt}{\dd{t}}
\newcommand{\dr}{\dd{r}}
\newcommand{\drho}{\dd{\rho}}
\newcommand{\dvarrho}{\dd{\varrho}}
\newcommand{\dtheta}{\dd{\theta}}
\newcommand{\dvartheta}{\dd{\vartheta}}
\newcommand{\dphi}{\dd{\phi}}
\newcommand{\dvarphi}{\dd{\varphi}}
\newcommand{\deron}{\partial}
\newcommand{\ddr}{\dd[3]{\vect r}}
\newcommand{\ddp}{\dd[3]{\vect p}}
\newcommand{\ddk}{\dd[3]{\vect k}}

% Physics complement
\def\diffD{\mathrm{D}}
\DeclareDocumentCommand\Differential{ o g d() }{
     \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\DD{}{\Differential} 
\DeclareDocumentCommand\Variation{ o g d() }{
     \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}

% other commands
\newcommand{\eg}{e.g.}
\newcommand{\etal}{et al}
\newcommand{\ie}{i.e.}
\newcommand{\unit}[1]{\mathrm{~#1}}
\newcommand{\axunit}[1]{\mathrm{~[#1]}}
\newcommand{\colunit}[1]{\mathrm{[#1]}}
\newcommand{\angstrom}{\text{\r A}}
\newcommand{\range}{\text{--}}
\newcommand{\E}[1]{\times 10^{#1}}
\newcommand{\simpropto}{\underset{\sim}{\propto}}
\newcommand{\cfill}[1]{\hspace*{0cm}\hfill{#1}\hfill\hspace*{0cm}}
\DeclareDocumentCommand\mean{s m}{
     \IfBooleanTF{#1}
     { % \mean*{}
	  \langle {#2} \rangle
     }{ % \mean{}
	  \left\langle {#2} \right\rangle
     }
}
\newcommand{\ope}[1]{\hat{#1}}
\newcommand{\opevect}[1]{\hat{\vb{#1}}}
\DeclareDocumentCommand\atom{m g g g o}{
     \IfNoValueTF{#5}{
     \IfNoValueTF{#2}{
	  \mathrm{#1}
     }{
     \IfNoValueTF{#3}{
	  \prescript{#2}{}{\mathrm{#1}}
     }{
     \IfNoValueTF{#4}{
	  \prescript{#2}{#3}{\mathrm{#1}}
     }{
	  \prescript{#2}{#3}{\mathrm{#1}}_{#4}
     }}}}{
     \IfNoValueTF{#2}{
	  \mathrm{#1}\text{\textsc{#5}}
     }{
     \IfNoValueTF{#3}{
	  \prescript{#2}{}{\mathrm{#1}\text{\textsc{#5}}}
     }{
     \IfNoValueTF{#4}{
	  \prescript{#2}{#3}{\mathrm{#1}\text{\textsc{#5}}}
     }{
	  \prescript{#2}{#3}{\mathrm{#1}\text{\textsc{#5}}}_{#4}
     }}}}
}
\DeclareDocumentCommand\underbraceset{m g}{
     \IfNoValueTF{#2}{
	  \underbrace{#1}
     }{
	  \underset{#1}{\underbrace{#2}}
     }
}
\DeclareDocumentCommand\overbraceset{m g}{
 \IfNoValueTF{#2}{
	  \overbrace{#1}
     }{
	  \overset{#1}{\overbrace{#2}}
     }
}
\newcommand{\metal}[1]{[\atom{#1}]}
\let\eqdef\yii@eqdef
\let\ol\overline
\let\ul\underline
\let\name\yii@name