248 lines
7.1 KiB
TeX
248 lines
7.1 KiB
TeX
\ProvidesPackage{cours}
|
|
%%% XeLaTeX ONLY
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%%%% Packages
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\@ifclassloaded{beamer}{}{
|
|
\RequirePackage[xetex]{geometry}
|
|
\RequirePackage[pdfusetitle]{hyperref}
|
|
\RequirePackage{enumitem}
|
|
}
|
|
\RequirePackage{fontspec}
|
|
\RequirePackage{polyglossia}
|
|
\RequirePackage{csquotes}
|
|
\RequirePackage{amsmath, amssymb, amsbsy}
|
|
%\RequirePackage{mathtools}
|
|
\RequirePackage{siunitx}
|
|
\RequirePackage{stmaryrd}
|
|
\RequirePackage{dsfont}
|
|
\RequirePackage{array}
|
|
\RequirePackage{esvect}
|
|
\RequirePackage{tikz}
|
|
\RequirePackage{pgfplots}
|
|
\RequirePackage{amsthm}
|
|
\RequirePackage{pgfpages}
|
|
\RequirePackage[version=4]{mhchem}
|
|
%\RequirePackage{breqn}
|
|
\RequirePackage{listings}
|
|
\RequirePackage{esint}
|
|
\RequirePackage{tabularx}
|
|
\RequirePackage{multirow}
|
|
\RequirePackage{booktabs}
|
|
%\RequirePackage{multicol}
|
|
\RequirePackage{setspace}
|
|
%\RequirePackage{ulem}
|
|
\RequirePackage{cancel}
|
|
\RequirePackage{xcolor}
|
|
\RequirePackage{unicode-math}
|
|
%\RequirePackage[backend=biber,sorting=ynt]{biblatex}
|
|
\RequirePackage[notransparent]{svg}
|
|
\@ifclassloaded{beamer}{}{
|
|
\RequirePackage[list=true]{subcaption}
|
|
}
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%%%% Langue
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\setdefaultlanguage{french}
|
|
\MakeOuterQuote{"}
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%%%% Macros
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%% Dérivées / Intégrales
|
|
\renewcommand\d{\mathrm d}
|
|
\newcommand\dd{\mathop{}\,\mathrm d}
|
|
\newcommand\deriv[2]{\frac{\d#1}{\d#2}}
|
|
\newcommand\dderiv[2]{\frac{\d^2#1}{\d#2^2}}
|
|
\newcommand\der[2]{\frac{\d#1}{\d#2}}
|
|
\newcommand\dder[2]{\frac{\d^2#1}{\d#2^2}}
|
|
\newcommand\dpar[2]{\frac{\partial#1}{\partial#2}}
|
|
\newcommand\ddpar[2]{\frac{\partial^2#1}{\partial#2^2}}
|
|
\newcommand\derp[2]{\frac{\partial#1}{\partial#2}}
|
|
\newcommand\dderp[2]{\frac{\partial^2#1}{\partial#2^2}}
|
|
\newcommand\dint{\int\displaylimits}
|
|
\newcommand\doint{\oint\displaylimits}
|
|
|
|
%%% Symboles
|
|
\newcommand\bOmega{\boldsymbol\Omega}
|
|
\newcommand\bepsilon{\boldsymbol\epsilon}
|
|
\newcommand\btheta{\boldsymbol\theta}
|
|
\newcommand\bsigma{\boldsymbol\sigma}
|
|
\renewcommand\epsilon{\varepsilon}
|
|
%\renewcommand\C{\coulomb}
|
|
\newcommand\e{\mathrm e}
|
|
|
|
\newcommand\RR{\mathbb R}
|
|
\newcommand\CC{\mathbb C}
|
|
\newcommand\KK{\mathbb K}
|
|
\newcommand\NN{\mathbb N}
|
|
\newcommand\FF{\mathbb F}
|
|
\newcommand\EE{\mathbb E}
|
|
\newcommand\DD{\mathbb D}
|
|
\newcommand\fF{\mathcal F}
|
|
\newcommand\dD{\mathcal D}
|
|
\newcommand\lL{\mathcal L}
|
|
\newcommand\cC{\mathcal C}
|
|
|
|
\newcommand\id{\mathbf 1}
|
|
\newcommand\Id{\mathrm Id}
|
|
|
|
%%% Exposant / Indice à gauche
|
|
\newcommand\trans[1]{\vphantom{#1}^t#1}
|
|
\newcommand\eul[1]{\vphantom{#1}^E#1}
|
|
\newcommand\lag[1]{\vphantom{#1}^L#1}
|
|
\newcommand\indL[2]{\vphantom{#2}_{#1}#2}
|
|
\newcommand\expL[2]{\vphantom{#2}^{#1}#2}
|
|
|
|
%%% Opérateurs mathématiques
|
|
\newcommand\abs[1]{\left|#1\right|}
|
|
\newcommand\nor[1]{\left\lVert#1\right\lVert}
|
|
\newcommand\peigne{\mathbin{\rotatebox[origin=c]{-90}{$\exists$}}}
|
|
\newcommand\moy[1]{\left<#1\right>}
|
|
\newcommand\tor[2]{\vphantom{\begin{array}c#2\end{array}}_{#1}\left|\begin{array}c#2\end{array}\right.}
|
|
|
|
\DeclareMathOperator\grad{\u{grad}}
|
|
\DeclareMathOperator\ggrad{\uu{grad}}
|
|
\let\div\relax
|
|
\DeclareMathOperator\diverg{\u{div}}
|
|
\DeclareMathOperator\rot{\u{rot}}
|
|
\DeclareMathOperator\Ker{Ker}
|
|
\DeclareMathOperator\sign{sign}
|
|
\DeclareMathOperator\tr{tr}
|
|
\DeclareMathOperator\cotan{cotan}
|
|
\DeclareMathOperator\cond{cond}
|
|
\DeclareMathOperator\erf{erf}
|
|
\DeclareMathOperator\erfc{erfc}
|
|
\DeclareMathOperator\sech{sech}
|
|
|
|
%%% Vecteurs et Matrices
|
|
\renewcommand\u[1]{\underline{#1}}
|
|
\newcommand\uu[1]{\underline{\underline{#1}}}
|
|
\newcommand\ov[1]{\overline{#1}}
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%%%% Paramétrage des packages
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%% Styles de théorèmes
|
|
\theoremstyle{remark}
|
|
\newtheorem{rem}{Remarque}
|
|
\newtheorem*{rem*}{Remarque}
|
|
\theoremstyle{definition}
|
|
\newtheorem*{defi}{Définition}
|
|
\newtheorem{ex}{Exemple}
|
|
\newtheorem*{theo}{Théorème}
|
|
|
|
%%% Listings (code)
|
|
\lstset{numbers=left,
|
|
numberstyle=\tiny\color{gray}\ttfamily,
|
|
language=Python,
|
|
basicstyle=\linespread{1.2}\ttfamily,
|
|
columns = flexible,
|
|
keywordstyle=\color{blue},
|
|
commentstyle=\itshape\color{gray},
|
|
stringstyle=\color{ForestGreen},
|
|
frame=single,
|
|
stepnumber=5,
|
|
showstringspaces=true,
|
|
backgroundcolor=\color{ultralightgray},
|
|
morekeywords={>>>, np, array, zeros, shape},
|
|
%breaklines=true,
|
|
%prebreak=\textbackslash,
|
|
alsoletter=>
|
|
}
|
|
|
|
%%% Tikz / PGF
|
|
\usetikzlibrary{shapes}
|
|
\pgfplotsset{compat=1.14}
|
|
|
|
%%% SIUnitX
|
|
\sisetup{
|
|
mode = text,
|
|
%locale = FR,
|
|
%list-final-separator = {\text{~et~}},
|
|
%list-pair-separator = {\text{~et~}},
|
|
%range-phrase = {\text{~à~}},
|
|
retain-explicit-plus,
|
|
forbid-literal-units,
|
|
sticky-per,
|
|
%inter-unit-product = {.},
|
|
per-mode = power-positive-first,
|
|
uncertainty-mode = separate,
|
|
}
|
|
\SendSettingsToPgf
|
|
\DeclareSIUnit\met{met}
|
|
\DeclareSIUnit\gon{gon}
|
|
\DeclareSIUnit\bar{bar}
|
|
\DeclareSIUnit\psi{psi}
|
|
\DeclareSIUnit\deg{deg}
|
|
|
|
%%% Arcs
|
|
\DeclareFontFamily{OMX}{yhex}{}
|
|
\DeclareFontShape{OMX}{yhex}{m}{n}{<->yhcmex10}{}
|
|
\DeclareSymbolFont{yhlargesymbols}{OMX}{yhex}{m}{n}
|
|
\DeclareMathAccent{\wideparen}{\mathord}{yhlargesymbols}{"F3}
|
|
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%%%% Mise en forme
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\@ifclassloaded{beamer}{}{
|
|
\geometry{
|
|
a4paper,
|
|
total={16cm, 24cm}
|
|
}
|
|
}
|
|
|
|
\setmainfont{Inter}
|
|
\setsansfont{Inter}
|
|
\setmathfont[mathrm=sym]{Fira Math}
|
|
\setmonofont[Ligatures=TeX]{Fira Code}
|
|
|
|
\definecolor{ENSblue}{RGB}{0,119,139}
|
|
\definecolor{ultralightgray}{gray}{.95}
|
|
\definecolor{customblue}{RGB}{0,102,204}
|
|
|
|
%\@ifclassloaded{letter}{}{
|
|
% \renewcommand\thesection{\Roman{section}}
|
|
% \renewcommand\thesubsection{\thesection.\arabic{subsection}}
|
|
% \renewcommand\thesubsubsection{\thesubsection.\arabic{subsubsection}}
|
|
%}
|
|
|
|
\@ifclassloaded{beamer}{}{
|
|
\hypersetup{
|
|
citecolor=customblue,
|
|
filecolor=customblue,
|
|
colorlinks=true,
|
|
linkcolor=customblue,
|
|
urlcolor=customblue
|
|
}
|
|
|
|
\setlist[itemize]{nosep}
|
|
}
|
|
|
|
\setcounter{secnumdepth}{3}
|
|
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%%%% Fonctions pgfplots
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\makeatletter
|
|
\pgfmathdeclarefunction{erf}{1}{%
|
|
\begingroup
|
|
\pgfmathparse{#1 > 0 ? 1 : -1}%
|
|
\edef\sign{\pgfmathresult}%
|
|
\pgfmathparse{abs(#1)}%
|
|
\edef\x{\pgfmathresult}%
|
|
\pgfmathparse{1/(1+0.3275911*\x)}%
|
|
\edef\t{\pgfmathresult}%
|
|
\pgfmathparse{%
|
|
1 - (((((1.061405429*\t -1.453152027)*\t) + 1.421413741)*\t
|
|
-0.284496736)*\t + 0.254829592)*\t*exp(-(\x*\x))}%
|
|
\edef\y{\pgfmathresult}%
|
|
\pgfmathparse{(\sign)*\y}%
|
|
\pgfmath@smuggleone\pgfmathresult%
|
|
\endgroup
|
|
}
|
|
\makeatother
|